0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.12/0.33	% Computer : n006.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 300
0.12/0.33	% WCLimit    : 300
0.12/0.33	% DateTime   : Fri Jul  5 04:26:24 EDT 2024
0.12/0.33	% CPUTime    : 
0.12/0.35	This is a THF_ problem
0.12/0.35	Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000  -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.12/0.37	% (4811)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
0.12/0.37	% (4811)Instruction limit reached!
0.12/0.37	% (4811)------------------------------
0.12/0.37	% (4811)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.12/0.37	% (4805)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi)
0.12/0.37	% (4811)Termination reason: Unknown
0.12/0.37	% (4811)Termination phase: shuffling
0.12/0.37	
0.12/0.37	% (4811)Memory used [KB]: 1023
0.12/0.37	% (4811)Time elapsed: 0.003 s
0.12/0.37	% (4811)Instructions burned: 4 (million)
0.12/0.37	% (4811)------------------------------
0.12/0.37	% (4811)------------------------------
0.12/0.38	% (4809)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
0.12/0.38	% (4812)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi)
0.12/0.38	% (4810)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on theBenchmark for (2999ds/74Mi)
0.12/0.38	% (4806)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
0.12/0.38	% (4807)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
0.12/0.38	% (4808)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi)
0.12/0.39	% (4812)Refutation not found, incomplete strategy
0.12/0.39	% (4812)------------------------------
0.12/0.39	% (4812)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.12/0.39	% (4812)Termination reason: Refutation not found, incomplete strategy
0.12/0.39	
0.12/0.39	
0.12/0.39	% (4812)Memory used [KB]: 5628
0.12/0.39	% (4812)Time elapsed: 0.010 s
0.12/0.39	% (4812)Instructions burned: 13 (million)
0.12/0.39	% (4812)------------------------------
0.12/0.39	% (4812)------------------------------
0.21/0.39	% (4809)Instruction limit reached!
0.21/0.39	% (4809)------------------------------
0.21/0.39	% (4809)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.39	% (4809)Termination reason: Unknown
0.21/0.39	% (4809)Termination phase: Saturation
0.21/0.39	
0.21/0.39	% (4809)Memory used [KB]: 5628
0.21/0.39	% (4809)Time elapsed: 0.014 s
0.21/0.39	% (4809)Instructions burned: 17 (million)
0.21/0.39	% (4809)------------------------------
0.21/0.39	% (4809)------------------------------
0.21/0.40	% (4813)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
0.21/0.41	% (4807)Instruction limit reached!
0.21/0.41	% (4807)------------------------------
0.21/0.41	% (4807)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.41	% (4807)Termination reason: Unknown
0.21/0.41	% (4807)Termination phase: Saturation
0.21/0.41	
0.21/0.41	% (4807)Memory used [KB]: 5884
0.21/0.41	% (4807)Time elapsed: 0.025 s
0.21/0.41	% (4807)Instructions burned: 35 (million)
0.21/0.41	% (4807)------------------------------
0.21/0.41	% (4807)------------------------------
0.21/0.41	% (4806)Instruction limit reached!
0.21/0.41	% (4806)------------------------------
0.21/0.41	% (4806)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.41	% (4806)Termination reason: Unknown
0.21/0.41	% (4806)Termination phase: Saturation
0.21/0.41	
0.21/0.41	% (4806)Memory used [KB]: 5756
0.21/0.41	% (4806)Time elapsed: 0.027 s
0.21/0.41	% (4806)Instructions burned: 36 (million)
0.21/0.41	% (4806)------------------------------
0.21/0.41	% (4806)------------------------------
0.21/0.41	% (4814)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
0.21/0.41	% (4815)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2999ds/1021Mi)
0.21/0.41	% (4814)Instruction limit reached!
0.21/0.41	% (4814)------------------------------
0.21/0.41	% (4814)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.41	% (4814)Termination reason: Unknown
0.21/0.41	% (4814)Termination phase: Property scanning
0.21/0.41	
0.21/0.41	% (4814)Memory used [KB]: 1151
0.21/0.41	% (4814)Time elapsed: 0.005 s
0.21/0.41	% (4814)Instructions burned: 7 (million)
0.21/0.41	% (4814)------------------------------
0.21/0.41	% (4814)------------------------------
0.21/0.41	% (4813)Instruction limit reached!
0.21/0.41	% (4813)------------------------------
0.21/0.41	% (4813)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.41	% (4813)Termination reason: Unknown
0.21/0.41	% (4813)Termination phase: Saturation
0.21/0.41	
0.21/0.41	% (4813)Memory used [KB]: 5756
0.21/0.41	% (4813)Time elapsed: 0.013 s
0.21/0.41	% (4813)Instructions burned: 21 (million)
0.21/0.41	% (4813)------------------------------
0.21/0.41	% (4813)------------------------------
0.21/0.42	% (4816)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
0.21/0.42	% (4817)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on theBenchmark for (2999ds/9Mi)
0.21/0.43	% (4810)Instruction limit reached!
0.21/0.43	% (4810)------------------------------
0.21/0.43	% (4810)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.43	% (4810)Termination reason: Unknown
0.21/0.43	% (4810)Termination phase: Saturation
0.21/0.43	
0.21/0.43	% (4810)Memory used [KB]: 6012
0.21/0.43	% (4810)Time elapsed: 0.045 s
0.21/0.43	% (4810)Instructions burned: 74 (million)
0.21/0.43	% (4810)------------------------------
0.21/0.43	% (4810)------------------------------
0.21/0.43	% (4818)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on theBenchmark for (2999ds/1044Mi)
0.21/0.43	% (4817)Instruction limit reached!
0.21/0.43	% (4817)------------------------------
0.21/0.43	% (4817)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.43	% (4817)Termination reason: Unknown
0.21/0.43	% (4817)Termination phase: Property scanning
0.21/0.43	
0.21/0.43	% (4817)Memory used [KB]: 1151
0.21/0.43	% (4817)Time elapsed: 0.006 s
0.21/0.43	% (4817)Instructions burned: 10 (million)
0.21/0.43	% (4817)------------------------------
0.21/0.43	% (4817)------------------------------
0.21/0.43	% (4819)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on theBenchmark for (2999ds/128Mi)
0.21/0.43	% (4805)Instruction limit reached!
0.21/0.43	% (4805)------------------------------
0.21/0.43	% (4805)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.43	% (4805)Termination reason: Unknown
0.21/0.43	% (4805)Termination phase: Saturation
0.21/0.43	
0.21/0.43	% (4805)Memory used [KB]: 6140
0.21/0.43	% (4805)Time elapsed: 0.058 s
0.21/0.43	% (4805)Instructions burned: 96 (million)
0.21/0.43	% (4805)------------------------------
0.21/0.43	% (4805)------------------------------
0.21/0.44	% (4821)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi)
0.21/0.44	% (4820)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi)
0.21/0.45	% (4821)Instruction limit reached!
0.21/0.45	% (4821)------------------------------
0.21/0.45	% (4821)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.45	% (4821)Termination reason: Unknown
0.21/0.45	% (4821)Termination phase: Saturation
0.21/0.45	
0.21/0.45	% (4821)Memory used [KB]: 1151
0.21/0.45	% (4821)Time elapsed: 0.009 s
0.21/0.45	% (4821)Instructions burned: 15 (million)
0.21/0.45	% (4821)------------------------------
0.21/0.45	% (4821)------------------------------
0.21/0.45	% (4822)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
0.21/0.46	% (4822)Instruction limit reached!
0.21/0.46	% (4822)------------------------------
0.21/0.46	% (4822)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.46	% (4822)Termination reason: Unknown
0.21/0.46	% (4822)Termination phase: shuffling
0.21/0.46	
0.21/0.46	% (4822)Memory used [KB]: 1023
0.21/0.46	% (4822)Time elapsed: 0.003 s
0.21/0.46	% (4822)Instructions burned: 3 (million)
0.21/0.46	% (4822)------------------------------
0.21/0.46	% (4822)------------------------------
0.21/0.46	% (4816)Instruction limit reached!
0.21/0.46	% (4816)------------------------------
0.21/0.46	% (4816)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.46	% (4816)Termination reason: Unknown
0.21/0.46	% (4816)Termination phase: Saturation
0.21/0.46	
0.21/0.46	% (4816)Memory used [KB]: 6012
0.21/0.46	% (4816)Time elapsed: 0.040 s
0.21/0.46	% (4816)Instructions burned: 72 (million)
0.21/0.46	% (4816)------------------------------
0.21/0.46	% (4816)------------------------------
0.21/0.47	% (4823)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
0.21/0.47	% (4820)Instruction limit reached!
0.21/0.47	% (4820)------------------------------
0.21/0.47	% (4820)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.47	% (4820)Termination reason: Unknown
0.21/0.47	% (4820)Termination phase: Saturation
0.21/0.47	
0.21/0.47	% (4820)Memory used [KB]: 6140
0.21/0.47	% (4820)Time elapsed: 0.024 s
0.21/0.47	% (4820)Instructions burned: 63 (million)
0.21/0.47	% (4820)------------------------------
0.21/0.47	% (4820)------------------------------
0.21/0.47	% (4824)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
0.21/0.48	% (4826)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2998ds/26Mi)
0.21/0.48	% (4825)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2999ds/140Mi)
0.21/0.48	% (4824)Instruction limit reached!
0.21/0.48	% (4824)------------------------------
0.21/0.48	% (4824)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.48	% (4824)Termination reason: Unknown
0.21/0.48	% (4824)Termination phase: Function definition elimination
0.21/0.48	
0.21/0.48	% (4824)Memory used [KB]: 1151
0.21/0.48	% (4824)Time elapsed: 0.007 s
0.21/0.48	% (4824)Instructions burned: 11 (million)
0.21/0.48	% (4824)------------------------------
0.21/0.48	% (4824)------------------------------
0.21/0.48	% (4826)Instruction limit reached!
0.21/0.48	% (4826)------------------------------
0.21/0.48	% (4826)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.48	% (4826)Termination reason: Unknown
0.21/0.48	% (4826)Termination phase: Saturation
0.21/0.48	
0.21/0.48	% (4826)Memory used [KB]: 5756
0.21/0.48	% (4826)Time elapsed: 0.009 s
0.21/0.48	% (4826)Instructions burned: 26 (million)
0.21/0.48	% (4826)------------------------------
0.21/0.48	% (4826)------------------------------
0.21/0.49	% (4825)Refutation not found, incomplete strategy
0.21/0.49	% (4825)------------------------------
0.21/0.49	% (4825)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.49	% (4825)Termination reason: Refutation not found, incomplete strategy
0.21/0.49	
0.21/0.49	
0.21/0.49	% (4825)Memory used [KB]: 5756
0.21/0.49	% (4825)Time elapsed: 0.012 s
0.21/0.49	% (4825)Instructions burned: 20 (million)
0.21/0.49	% (4825)------------------------------
0.21/0.49	% (4825)------------------------------
0.21/0.49	% (4828)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2998ds/275Mi)
0.21/0.50	% (4827)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
0.21/0.50	% (4828)Refutation not found, incomplete strategy
0.21/0.50	% (4828)------------------------------
0.21/0.50	% (4828)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.50	% (4828)Termination reason: Refutation not found, incomplete strategy
0.21/0.50	
0.21/0.50	
0.21/0.50	% (4828)Memory used [KB]: 5628
0.21/0.50	% (4828)Time elapsed: 0.006 s
0.21/0.50	% (4828)Instructions burned: 16 (million)
0.21/0.50	% (4828)------------------------------
0.21/0.50	% (4828)------------------------------
0.21/0.50	% (4819)Instruction limit reached!
0.21/0.50	% (4819)------------------------------
0.21/0.50	% (4819)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.50	% (4819)Termination reason: Unknown
0.21/0.50	% (4819)Termination phase: Saturation
0.21/0.50	
0.21/0.50	% (4819)Memory used [KB]: 6268
0.21/0.50	% (4819)Time elapsed: 0.072 s
0.21/0.50	% (4819)Instructions burned: 129 (million)
0.21/0.50	% (4819)------------------------------
0.21/0.50	% (4819)------------------------------
0.21/0.50	% (4829)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
0.21/0.50	% (4829)Instruction limit reached!
0.21/0.50	% (4829)------------------------------
0.21/0.50	% (4829)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.50	% (4829)Termination reason: Unknown
0.21/0.50	% (4829)Termination phase: shuffling
0.21/0.50	
0.21/0.50	% (4829)Memory used [KB]: 1151
0.21/0.50	% (4829)Time elapsed: 0.004 s
0.21/0.50	% (4829)Instructions burned: 4 (million)
0.21/0.50	% (4829)------------------------------
0.21/0.50	% (4829)------------------------------
0.21/0.51	% (4830)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
0.21/0.51	% (4831)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2998ds/44Mi)
0.21/0.52	% (4832)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2998ds/191Mi)
0.21/0.52	% (4830)Instruction limit reached!
0.21/0.52	% (4830)------------------------------
0.21/0.52	% (4830)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.52	% (4830)Termination reason: Unknown
0.21/0.52	% (4830)Termination phase: Saturation
0.21/0.52	
0.21/0.52	% (4830)Memory used [KB]: 5756
0.21/0.52	% (4830)Time elapsed: 0.012 s
0.21/0.52	% (4830)Instructions burned: 20 (million)
0.21/0.52	% (4830)------------------------------
0.21/0.52	% (4830)------------------------------
0.21/0.52	% (4808)First to succeed.
0.21/0.52	% (4827)Instruction limit reached!
0.21/0.52	% (4827)------------------------------
0.21/0.52	% (4827)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.52	% (4827)Termination reason: Unknown
0.21/0.52	% (4827)Termination phase: Saturation
0.21/0.52	
0.21/0.52	% (4827)Memory used [KB]: 1535
0.21/0.52	% (4827)Time elapsed: 0.031 s
0.21/0.52	% (4827)Instructions burned: 56 (million)
0.21/0.52	% (4827)------------------------------
0.21/0.52	% (4827)------------------------------
1.39/0.54	% (4833)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2998ds/62Mi)
1.39/0.54	% (4808)Refutation found. Thanks to Tanya!
1.39/0.54	% SZS status Theorem for theBenchmark
1.39/0.54	% SZS output start Proof for theBenchmark
1.39/0.54	thf(type_def_5, type, mu: $tType).
1.39/0.54	thf(type_def_7, type, reg: $tType).
1.39/0.54	thf(func_def_0, type, mu: $tType).
1.39/0.54	thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
1.39/0.54	thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
1.39/0.54	thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
1.39/0.54	thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
1.39/0.54	thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
1.39/0.54	thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
1.39/0.54	thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
1.39/0.54	thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
1.39/0.54	thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
1.39/0.54	thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
1.39/0.54	thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
1.39/0.54	thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
1.39/0.54	thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
1.39/0.54	thf(func_def_15, type, mtrue: $i > $o).
1.39/0.54	thf(func_def_16, type, mfalse: $i > $o).
1.39/0.54	thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
1.39/0.54	thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
1.39/0.54	thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
1.39/0.54	thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
1.39/0.54	thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
1.39/0.54	thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
1.39/0.54	thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
1.39/0.54	thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
1.39/0.54	thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
1.39/0.54	thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
1.39/0.54	thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
1.39/0.54	thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
1.39/0.54	thf(func_def_29, type, mvalid: ($i > $o) > $o).
1.39/0.54	thf(func_def_30, type, minvalid: ($i > $o) > $o).
1.39/0.54	thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
1.39/0.54	thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
1.39/0.54	thf(func_def_33, type, reg: $tType).
1.39/0.54	thf(func_def_34, type, c: reg > reg > $o).
1.39/0.54	thf(func_def_35, type, dc: reg > reg > $o).
1.39/0.54	thf(func_def_36, type, p: reg > reg > $o).
1.39/0.54	thf(func_def_37, type, eq: reg > reg > $o).
1.39/0.54	thf(func_def_38, type, o: reg > reg > $o).
1.39/0.54	thf(func_def_39, type, po: reg > reg > $o).
1.39/0.54	thf(func_def_40, type, ec: reg > reg > $o).
1.39/0.54	thf(func_def_41, type, pp: reg > reg > $o).
1.39/0.54	thf(func_def_42, type, tpp: reg > reg > $o).
1.39/0.54	thf(func_def_43, type, ntpp: reg > reg > $o).
1.39/0.54	thf(func_def_44, type, catalunya: reg).
1.39/0.54	thf(func_def_45, type, france: reg).
1.39/0.54	thf(func_def_46, type, spain: reg).
1.39/0.54	thf(func_def_47, type, paris: reg).
1.39/0.54	thf(func_def_48, type, a: $i > $i > $o).
1.39/0.54	thf(func_def_49, type, fool: $i > $i > $o).
1.39/0.54	thf(func_def_66, type, sK1: reg).
1.39/0.54	thf(func_def_67, type, sK2: reg).
1.39/0.54	thf(func_def_68, type, sK3: reg > reg).
1.39/0.54	thf(func_def_69, type, sK4: reg > reg).
1.39/0.54	thf(func_def_70, type, sK5: reg > reg).
1.39/0.54	thf(func_def_71, type, sK6: reg > reg).
1.39/0.54	thf(func_def_72, type, sK7: $i > ($i > $o) > $i).
1.39/0.54	thf(func_def_73, type, sK8: $i > ($i > $o) > $i).
1.39/0.54	thf(func_def_74, type, sK9: reg > reg).
1.39/0.54	thf(func_def_75, type, sK10: reg > reg).
1.39/0.54	thf(func_def_76, type, sK11: $i > ($i > $o) > $i).
1.39/0.54	thf(func_def_77, type, sK12: reg).
1.39/0.54	thf(func_def_78, type, sK13: reg > reg).
1.39/0.54	thf(func_def_79, type, sK14: reg > reg).
1.39/0.54	thf(func_def_80, type, sK15: reg > reg).
1.39/0.54	thf(func_def_83, type, sK18: reg).
1.39/0.54	thf(func_def_84, type, sK19: reg).
1.39/0.54	thf(func_def_85, type, sK20: reg).
1.39/0.54	thf(func_def_86, type, ph21: !>[X0: $tType]:(X0)).
1.39/0.54	thf(f1325,plain,(
1.39/0.54	  $false),
1.39/0.54	  inference(avatar_sat_refutation,[],[f473,f480,f484,f488,f492,f553,f577,f912,f1204,f1209,f1282,f1323])).
1.39/0.54	thf(f1323,plain,(
1.39/0.54	  ~spl0_8 | ~spl0_13 | ~spl0_27 | ~spl0_31 | ~spl0_33),
1.39/0.54	  inference(avatar_contradiction_clause,[],[f1322])).
1.39/0.54	thf(f1322,plain,(
1.39/0.54	  $false | (~spl0_8 | ~spl0_13 | ~spl0_27 | ~spl0_31 | ~spl0_33)),
1.39/0.54	  inference(trivial_inequality_removal,[],[f1321])).
1.39/0.54	thf(f1321,plain,(
1.39/0.54	  ($true = $false) | (~spl0_8 | ~spl0_13 | ~spl0_27 | ~spl0_31 | ~spl0_33)),
1.39/0.54	  inference(forward_demodulation,[],[f1320,f1310])).
1.39/0.54	thf(f1310,plain,(
1.39/0.54	  ($false = (c @ (sK10 @ sK19) @ paris)) | (~spl0_8 | ~spl0_33)),
1.39/0.54	  inference(trivial_inequality_removal,[],[f1303])).
1.39/0.54	thf(f1303,plain,(
1.39/0.54	  ($true = $false) | ($false = (c @ (sK10 @ sK19) @ paris)) | (~spl0_8 | ~spl0_33)),
1.39/0.54	  inference(superposition,[],[f924,f472])).
1.39/0.54	thf(f472,plain,(
1.39/0.54	  ( ! [X3 : reg] : (($true = (c @ X3 @ france)) | ($false = (c @ X3 @ paris))) ) | ~spl0_8),
1.39/0.54	  inference(avatar_component_clause,[],[f471])).
1.39/0.54	thf(f471,plain,(
1.39/0.54	  spl0_8 <=> ! [X3 : reg] : (($true = (c @ X3 @ france)) | ($false = (c @ X3 @ paris)))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
1.39/0.54	thf(f924,plain,(
1.39/0.54	  ($false = (c @ (sK10 @ sK19) @ france)) | ~spl0_33),
1.39/0.54	  inference(avatar_component_clause,[],[f922])).
1.39/0.54	thf(f922,plain,(
1.39/0.54	  spl0_33 <=> ($false = (c @ (sK10 @ sK19) @ france))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_33])])).
1.39/0.54	thf(f1320,plain,(
1.39/0.54	  ($true = (c @ (sK10 @ sK19) @ paris)) | (~spl0_13 | ~spl0_27 | ~spl0_31)),
1.39/0.54	  inference(trivial_inequality_removal,[],[f1319])).
1.39/0.54	thf(f1319,plain,(
1.39/0.54	  ($true = (c @ (sK10 @ sK19) @ paris)) | ($true = $false) | (~spl0_13 | ~spl0_27 | ~spl0_31)),
1.39/0.54	  inference(forward_demodulation,[],[f933,f1242])).
1.39/0.54	thf(f1242,plain,(
1.39/0.54	  ($false = (c @ (sK9 @ sK19) @ sK19)) | (~spl0_27 | ~spl0_31)),
1.39/0.54	  inference(trivial_inequality_removal,[],[f1235])).
1.39/0.54	thf(f1235,plain,(
1.39/0.54	  ($false = (c @ (sK9 @ sK19) @ sK19)) | ($true = $false) | (~spl0_27 | ~spl0_31)),
1.39/0.54	  inference(superposition,[],[f1217,f435])).
1.39/0.54	thf(f435,plain,(
1.39/0.54	  ( ! [X1 : reg] : (($true = (c @ X1 @ catalunya)) | ($false = (c @ X1 @ sK19))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f434])).
1.39/0.54	thf(f434,plain,(
1.39/0.54	  ( ! [X1 : reg] : (($true = ((c @ X1 @ sK19) => (c @ X1 @ catalunya)))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f433])).
1.39/0.54	thf(f433,plain,(
1.39/0.54	  ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK19) => (c @ Y0 @ catalunya))) @ X1))) )),
1.39/0.54	  inference(pi_clausification,[],[f428])).
1.39/0.54	thf(f428,plain,(
1.39/0.54	  ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK19) => (c @ Y0 @ catalunya)))) = $true)),
1.39/0.54	  inference(binary_proxy_clausification,[],[f427])).
1.39/0.54	thf(f427,plain,(
1.39/0.54	  ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK19) => (c @ Y0 @ paris)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK19) => (c @ Y0 @ catalunya))))))),
1.39/0.54	  inference(beta_eta_normalization,[],[f426])).
1.39/0.54	thf(f426,plain,(
1.39/0.54	  ($true = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))) @ sK19))),
1.39/0.54	  inference(sigma_clausification,[],[f419])).
1.39/0.54	thf(f419,plain,(
1.39/0.54	  ($true = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))))),
1.39/0.54	  inference(binary_proxy_clausification,[],[f418])).
1.39/0.54	thf(f418,plain,(
1.39/0.54	  ($true = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ paris))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))))))),
1.39/0.54	  inference(binary_proxy_clausification,[],[f416])).
1.39/0.54	thf(f416,plain,(
1.39/0.54	  ($true = (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ paris))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ catalunya)))))))),
1.39/0.54	  inference(not_proxy_clausification,[],[f413])).
1.39/0.54	thf(f413,plain,(
1.39/0.54	  ((~ (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ paris))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ catalunya))))))) = $false)),
1.39/0.54	  inference(binary_proxy_clausification,[],[f412])).
1.39/0.54	thf(f412,plain,(
1.39/0.54	  ($false = ((~ (a @ sK16 @ sK17)) | (~ (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ paris))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ catalunya)))))))))),
1.39/0.54	  inference(beta_eta_normalization,[],[f411])).
1.39/0.54	thf(f411,plain,(
1.39/0.54	  ($false = ((^[Y0 : $i]: ((~ (a @ sK16 @ Y0)) | (~ (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ paris))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ catalunya))))))))) @ sK17))),
1.39/0.54	  inference(sigma_clausification,[],[f410])).
1.39/0.54	thf(f410,plain,(
1.39/0.54	  ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK16 @ Y0)) | (~ (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ paris))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ catalunya)))))))))))),
1.39/0.54	  inference(beta_eta_normalization,[],[f409])).
1.39/0.54	thf(f409,plain,(
1.39/0.54	  (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (~ (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ paris))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ catalunya))))))))))) @ sK16) = $false)),
1.39/0.54	  inference(sigma_clausification,[],[f408])).
1.39/0.54	thf(f408,plain,(
1.39/0.54	  ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (~ (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ paris))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ catalunya)))))))))))))),
1.39/0.54	  inference(beta_eta_normalization,[],[f207])).
1.39/0.54	thf(f207,plain,(
1.39/0.54	  ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (~ ((^[Y1 : reg]: ((^[Y2 : reg]: (((~ ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y1 @ Y2)) & ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3))))))) @ Y1 @ Y2)) & (~ ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1)))))) @ catalunya @ paris))))))),
1.39/0.54	  inference(definition_unfolding,[],[f179,f171,f164,f197])).
1.39/0.54	thf(f197,plain,(
1.39/0.54	  (po = (^[Y0 : reg]: ((^[Y1 : reg]: (((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1)) & ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2))))))) @ Y0 @ Y1)) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))),
1.39/0.54	  inference(definition_unfolding,[],[f163,f176,f196,f176])).
1.39/0.54	thf(f196,plain,(
1.39/0.54	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0))))))))),
1.39/0.54	  inference(definition_unfolding,[],[f150,f176,f176])).
1.39/0.54	thf(f150,plain,(
1.39/0.54	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
1.39/0.54	  inference(cnf_transformation,[],[f63])).
1.39/0.54	thf(f63,plain,(
1.39/0.54	  (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y1) & (p @ Y2 @ Y0))))))))),
1.39/0.54	  inference(fool_elimination,[],[f62])).
1.39/0.54	thf(f62,plain,(
1.39/0.54	  ((^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X0) & (p @ X2 @ X1)))) = o)),
1.39/0.54	  inference(rectify,[],[f35])).
1.39/0.54	thf(f35,axiom,(
1.39/0.54	  ((^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X0) & (p @ X11 @ X1)))) = o)),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o)).
1.39/0.54	thf(f176,plain,(
1.39/0.54	  (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
1.39/0.54	  inference(cnf_transformation,[],[f131])).
1.39/0.54	thf(f131,plain,(
1.39/0.54	  (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
1.39/0.54	  inference(fool_elimination,[],[f130])).
1.39/0.54	thf(f130,plain,(
1.39/0.54	  ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)),
1.39/0.54	  inference(rectify,[],[f33])).
1.39/0.54	thf(f33,axiom,(
1.39/0.54	  ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p)).
1.39/0.54	thf(f163,plain,(
1.39/0.54	  (po = (^[Y0 : reg]: ((^[Y1 : reg]: (((~ (p @ Y0 @ Y1)) & (o @ Y0 @ Y1)) & (~ (p @ Y1 @ Y0)))))))),
1.39/0.54	  inference(cnf_transformation,[],[f111])).
1.39/0.54	thf(f111,plain,(
1.39/0.54	  (po = (^[Y0 : reg]: ((^[Y1 : reg]: (((~ (p @ Y0 @ Y1)) & (o @ Y0 @ Y1)) & (~ (p @ Y1 @ Y0)))))))),
1.39/0.54	  inference(fool_elimination,[],[f110])).
1.39/0.54	thf(f110,plain,(
1.39/0.54	  ((^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (o @ X0 @ X1) & ~(p @ X0 @ X1))) = po)),
1.39/0.54	  inference(rectify,[],[f36])).
1.39/0.54	thf(f36,axiom,(
1.39/0.54	  ((^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (o @ X0 @ X1) & ~(p @ X0 @ X1))) = po)),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',po)).
1.39/0.54	thf(f164,plain,(
1.39/0.54	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
1.39/0.54	  inference(cnf_transformation,[],[f113])).
1.39/0.54	thf(f113,plain,(
1.39/0.54	  (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
1.39/0.54	  inference(fool_elimination,[],[f112])).
1.39/0.54	thf(f112,plain,(
1.39/0.54	  ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
1.39/0.54	  inference(rectify,[],[f16])).
1.39/0.54	thf(f16,axiom,(
1.39/0.54	  ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
1.39/0.54	thf(f171,plain,(
1.39/0.54	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
1.39/0.54	  inference(cnf_transformation,[],[f97])).
1.39/0.54	thf(f97,plain,(
1.39/0.54	  (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
1.39/0.54	  inference(fool_elimination,[],[f96])).
1.39/0.54	thf(f96,plain,(
1.39/0.54	  (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
1.39/0.54	  inference(rectify,[],[f28])).
1.39/0.54	thf(f28,axiom,(
1.39/0.54	  (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
1.39/0.54	thf(f179,plain,(
1.39/0.54	  ($true != (mvalid @ (mbox @ a @ (^[Y0 : $i]: (~ (po @ catalunya @ paris))))))),
1.39/0.54	  inference(cnf_transformation,[],[f146])).
1.39/0.54	thf(f146,plain,(
1.39/0.54	  ($true != (mvalid @ (mbox @ a @ (^[Y0 : $i]: (~ (po @ catalunya @ paris))))))),
1.39/0.54	  inference(flattening,[],[f77])).
1.39/0.54	thf(f77,plain,(
1.39/0.54	  ~($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (~ (po @ catalunya @ paris))))))),
1.39/0.54	  inference(fool_elimination,[],[f76])).
1.39/0.54	thf(f76,plain,(
1.39/0.54	  ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (~(po @ catalunya @ paris)))))),
1.39/0.54	  inference(rectify,[],[f50])).
1.39/0.54	thf(f50,negated_conjecture,(
1.39/0.54	  ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (~(po @ catalunya @ paris)))))),
1.39/0.54	  inference(negated_conjecture,[],[f49])).
1.39/0.54	thf(f49,conjecture,(
1.39/0.54	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (~(po @ catalunya @ paris)))))),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
1.39/0.54	thf(f1217,plain,(
1.39/0.54	  ($false = (c @ (sK9 @ sK19) @ catalunya)) | (~spl0_27 | ~spl0_31)),
1.39/0.54	  inference(trivial_inequality_removal,[],[f1212])).
1.39/0.54	thf(f1212,plain,(
1.39/0.54	  ($false = (c @ (sK9 @ sK19) @ catalunya)) | ($true = $false) | (~spl0_27 | ~spl0_31)),
1.39/0.54	  inference(superposition,[],[f552,f910])).
1.39/0.54	thf(f910,plain,(
1.39/0.54	  ($false = (c @ (sK9 @ sK19) @ spain)) | ~spl0_31),
1.39/0.54	  inference(avatar_component_clause,[],[f908])).
1.39/0.54	thf(f908,plain,(
1.39/0.54	  spl0_31 <=> ($false = (c @ (sK9 @ sK19) @ spain))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_31])])).
1.39/0.54	thf(f552,plain,(
1.39/0.54	  ( ! [X3 : reg] : (($true = (c @ X3 @ spain)) | ($false = (c @ X3 @ catalunya))) ) | ~spl0_27),
1.39/0.54	  inference(avatar_component_clause,[],[f551])).
1.39/0.54	thf(f551,plain,(
1.39/0.54	  spl0_27 <=> ! [X3 : reg] : (($true = (c @ X3 @ spain)) | ($false = (c @ X3 @ catalunya)))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_27])])).
1.39/0.54	thf(f933,plain,(
1.39/0.54	  ($true = (c @ (sK9 @ sK19) @ sK19)) | ($true = (c @ (sK10 @ sK19) @ paris)) | ~spl0_13),
1.39/0.54	  inference(trivial_inequality_removal,[],[f930])).
1.39/0.54	thf(f930,plain,(
1.39/0.54	  ($true = (c @ (sK9 @ sK19) @ sK19)) | ($true = $false) | ($true = (c @ (sK10 @ sK19) @ paris)) | ~spl0_13),
1.39/0.54	  inference(superposition,[],[f432,f491])).
1.39/0.54	thf(f491,plain,(
1.39/0.54	  ( ! [X3 : reg] : (($true = (c @ (sK10 @ X3) @ X3)) | ($true = (c @ (sK9 @ X3) @ X3))) ) | ~spl0_13),
1.39/0.54	  inference(avatar_component_clause,[],[f490])).
1.39/0.54	thf(f490,plain,(
1.39/0.54	  spl0_13 <=> ! [X3 : reg] : (($true = (c @ (sK9 @ X3) @ X3)) | ($true = (c @ (sK10 @ X3) @ X3)))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
1.39/0.54	thf(f432,plain,(
1.39/0.54	  ( ! [X1 : reg] : (($false = (c @ X1 @ sK19)) | ((c @ X1 @ paris) = $true)) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f431])).
1.39/0.54	thf(f431,plain,(
1.39/0.54	  ( ! [X1 : reg] : ((((c @ X1 @ sK19) => (c @ X1 @ paris)) = $true)) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f430])).
1.39/0.54	thf(f430,plain,(
1.39/0.54	  ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK19) => (c @ Y0 @ paris))) @ X1))) )),
1.39/0.54	  inference(pi_clausification,[],[f429])).
1.39/0.54	thf(f429,plain,(
1.39/0.54	  ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK19) => (c @ Y0 @ paris)))))),
1.39/0.54	  inference(binary_proxy_clausification,[],[f427])).
1.39/0.54	thf(f1282,plain,(
1.39/0.54	  spl0_33 | ~spl0_12 | ~spl0_27 | ~spl0_31),
1.39/0.54	  inference(avatar_split_clause,[],[f1277,f908,f551,f486,f922])).
1.39/0.54	thf(f486,plain,(
1.39/0.54	  spl0_12 <=> ! [X3 : reg] : (($false = (c @ (sK10 @ X3) @ france)) | ($true = (c @ (sK9 @ X3) @ X3)))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
1.39/0.54	thf(f1277,plain,(
1.39/0.54	  ($false = (c @ (sK10 @ sK19) @ france)) | (~spl0_12 | ~spl0_27 | ~spl0_31)),
1.39/0.54	  inference(trivial_inequality_removal,[],[f1273])).
1.39/0.54	thf(f1273,plain,(
1.39/0.54	  ($true = $false) | ($false = (c @ (sK10 @ sK19) @ france)) | (~spl0_12 | ~spl0_27 | ~spl0_31)),
1.39/0.54	  inference(superposition,[],[f1242,f487])).
1.39/0.54	thf(f487,plain,(
1.39/0.54	  ( ! [X3 : reg] : (($true = (c @ (sK9 @ X3) @ X3)) | ($false = (c @ (sK10 @ X3) @ france))) ) | ~spl0_12),
1.39/0.54	  inference(avatar_component_clause,[],[f486])).
1.39/0.54	thf(f1209,plain,(
1.39/0.54	  ~spl0_1),
1.39/0.54	  inference(avatar_contradiction_clause,[],[f1208])).
1.39/0.54	thf(f1208,plain,(
1.39/0.54	  $false | ~spl0_1),
1.39/0.54	  inference(trivial_inequality_removal,[],[f1205])).
1.39/0.54	thf(f1205,plain,(
1.39/0.54	  ($true = $false) | ~spl0_1),
1.39/0.54	  inference(backward_demodulation,[],[f415,f443])).
1.39/0.54	thf(f443,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2))) ) | ~spl0_1),
1.39/0.54	  inference(avatar_component_clause,[],[f442])).
1.39/0.54	thf(f442,plain,(
1.39/0.54	  spl0_1 <=> ! [X2,X1] : ($false = (a @ X1 @ X2))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
1.39/0.54	thf(f415,plain,(
1.39/0.54	  ($true = (a @ sK16 @ sK17))),
1.39/0.54	  inference(not_proxy_clausification,[],[f414])).
1.39/0.54	thf(f414,plain,(
1.39/0.54	  ($false = (~ (a @ sK16 @ sK17)))),
1.39/0.54	  inference(binary_proxy_clausification,[],[f412])).
1.39/0.54	thf(f1204,plain,(
1.39/0.54	  spl0_31 | ~spl0_8 | ~spl0_10 | ~spl0_30),
1.39/0.54	  inference(avatar_split_clause,[],[f1198,f904,f478,f471,f908])).
1.39/0.54	thf(f478,plain,(
1.39/0.54	  spl0_10 <=> ! [X3 : reg] : (($false = (c @ (sK9 @ X3) @ spain)) | ($false = (c @ (sK10 @ X3) @ france)))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
1.39/0.54	thf(f904,plain,(
1.39/0.54	  spl0_30 <=> ($true = (c @ (sK10 @ sK19) @ paris))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
1.39/0.54	thf(f1198,plain,(
1.39/0.54	  ($false = (c @ (sK9 @ sK19) @ spain)) | (~spl0_8 | ~spl0_10 | ~spl0_30)),
1.39/0.54	  inference(trivial_inequality_removal,[],[f1188])).
1.39/0.54	thf(f1188,plain,(
1.39/0.54	  ($false = (c @ (sK9 @ sK19) @ spain)) | ($true = $false) | (~spl0_8 | ~spl0_10 | ~spl0_30)),
1.39/0.54	  inference(superposition,[],[f906,f888])).
1.39/0.54	thf(f888,plain,(
1.39/0.54	  ( ! [X0 : reg] : (($false = (c @ (sK10 @ X0) @ paris)) | ($false = (c @ (sK9 @ X0) @ spain))) ) | (~spl0_8 | ~spl0_10)),
1.39/0.54	  inference(trivial_inequality_removal,[],[f884])).
1.39/0.54	thf(f884,plain,(
1.39/0.54	  ( ! [X0 : reg] : (($true = $false) | ($false = (c @ (sK9 @ X0) @ spain)) | ($false = (c @ (sK10 @ X0) @ paris))) ) | (~spl0_8 | ~spl0_10)),
1.39/0.54	  inference(superposition,[],[f472,f479])).
1.39/0.54	thf(f479,plain,(
1.39/0.54	  ( ! [X3 : reg] : (($false = (c @ (sK10 @ X3) @ france)) | ($false = (c @ (sK9 @ X3) @ spain))) ) | ~spl0_10),
1.39/0.54	  inference(avatar_component_clause,[],[f478])).
1.39/0.54	thf(f906,plain,(
1.39/0.54	  ($true = (c @ (sK10 @ sK19) @ paris)) | ~spl0_30),
1.39/0.54	  inference(avatar_component_clause,[],[f904])).
1.39/0.54	thf(f912,plain,(
1.39/0.54	  spl0_30 | spl0_31 | ~spl0_11),
1.39/0.54	  inference(avatar_split_clause,[],[f899,f482,f908,f904])).
1.39/0.54	thf(f482,plain,(
1.39/0.54	  spl0_11 <=> ! [X3 : reg] : (($true = (c @ (sK10 @ X3) @ X3)) | ($false = (c @ (sK9 @ X3) @ spain)))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
1.39/0.54	thf(f899,plain,(
1.39/0.54	  ($false = (c @ (sK9 @ sK19) @ spain)) | ($true = (c @ (sK10 @ sK19) @ paris)) | ~spl0_11),
1.39/0.54	  inference(trivial_inequality_removal,[],[f896])).
1.39/0.54	thf(f896,plain,(
1.39/0.54	  ($true = $false) | ($true = (c @ (sK10 @ sK19) @ paris)) | ($false = (c @ (sK9 @ sK19) @ spain)) | ~spl0_11),
1.39/0.54	  inference(superposition,[],[f432,f483])).
1.39/0.54	thf(f483,plain,(
1.39/0.54	  ( ! [X3 : reg] : (($true = (c @ (sK10 @ X3) @ X3)) | ($false = (c @ (sK9 @ X3) @ spain))) ) | ~spl0_11),
1.39/0.54	  inference(avatar_component_clause,[],[f482])).
1.39/0.54	thf(f577,plain,(
1.39/0.54	  ~spl0_9),
1.39/0.54	  inference(avatar_contradiction_clause,[],[f576])).
1.39/0.54	thf(f576,plain,(
1.39/0.54	  $false | ~spl0_9),
1.39/0.54	  inference(trivial_inequality_removal,[],[f570])).
1.39/0.54	thf(f570,plain,(
1.39/0.54	  ($true = $false) | ~spl0_9),
1.39/0.54	  inference(backward_demodulation,[],[f559,f564])).
1.39/0.54	thf(f564,plain,(
1.39/0.54	  ( ! [X1 : $i,X5 : $i > $o] : (($false = (X5 @ X1))) ) | ~spl0_9),
1.39/0.54	  inference(not_proxy_clausification,[],[f563])).
1.39/0.54	thf(f563,plain,(
1.39/0.54	  ( ! [X1 : $i,X5 : $i > $o] : (($true = (~ (X5 @ X1)))) ) | ~spl0_9),
1.39/0.54	  inference(beta_eta_normalization,[],[f562])).
1.39/0.54	thf(f562,plain,(
1.39/0.54	  ( ! [X1 : $i,X5 : $i > $o] : (($true = ((^[Y0 : $i]: (~ (X5 @ Y0))) @ X1))) ) | ~spl0_9),
1.39/0.54	  inference(primitive_instantiation,[],[f559])).
1.39/0.54	thf(f559,plain,(
1.39/0.54	  ( ! [X2 : $i > $o,X1 : $i] : (($true = (X2 @ X1))) ) | ~spl0_9),
1.39/0.54	  inference(trivial_inequality_removal,[],[f555])).
1.39/0.54	thf(f555,plain,(
1.39/0.54	  ( ! [X2 : $i > $o,X1 : $i] : (($true = (X2 @ X1)) | ($true = $false)) ) | ~spl0_9),
1.39/0.54	  inference(backward_demodulation,[],[f307,f476])).
1.39/0.54	thf(f476,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($false = (fool @ X1 @ X2))) ) | ~spl0_9),
1.39/0.54	  inference(avatar_component_clause,[],[f475])).
1.39/0.54	thf(f475,plain,(
1.39/0.54	  spl0_9 <=> ! [X2,X1] : ($false = (fool @ X1 @ X2))),
1.39/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
1.39/0.54	thf(f307,plain,(
1.39/0.54	  ( ! [X2 : $i > $o,X1 : $i] : (((fool @ X1 @ (sK8 @ X1 @ X2)) = $true) | ($true = (X2 @ X1))) )),
1.39/0.54	  inference(not_proxy_clausification,[],[f306])).
1.39/0.54	thf(f306,plain,(
1.39/0.54	  ( ! [X2 : $i > $o,X1 : $i] : (($false = (~ (fool @ X1 @ (sK8 @ X1 @ X2)))) | ($true = (X2 @ X1))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f304])).
1.39/0.54	thf(f304,plain,(
1.39/0.54	  ( ! [X2 : $i > $o,X1 : $i] : (($false = ((~ (fool @ X1 @ (sK8 @ X1 @ X2))) | (X2 @ (sK8 @ X1 @ X2)))) | ($true = (X2 @ X1))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f303])).
1.39/0.54	thf(f303,plain,(
1.39/0.54	  ( ! [X2 : $i > $o,X1 : $i] : (($true = (X2 @ X1)) | ($false = ((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))) @ (sK8 @ X1 @ X2)))) )),
1.39/0.54	  inference(sigma_clausification,[],[f302])).
1.39/0.54	thf(f302,plain,(
1.39/0.54	  ( ! [X2 : $i > $o,X1 : $i] : (($true = (X2 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))))) )),
1.39/0.54	  inference(not_proxy_clausification,[],[f301])).
1.39/0.54	thf(f301,plain,(
1.39/0.54	  ( ! [X2 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0)))))) | ($true = (X2 @ X1))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f300])).
1.39/0.54	thf(f300,plain,(
1.39/0.54	  ( ! [X2 : $i > $o,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | (X2 @ Y0))))) | (X2 @ X1)))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f299])).
1.39/0.54	thf(f299,plain,(
1.39/0.54	  ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (Y0 @ X1))) @ X2))) )),
1.39/0.54	  inference(pi_clausification,[],[f298])).
1.39/0.54	thf(f298,plain,(
1.39/0.54	  ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ X1 @ Y1)) | (Y0 @ Y1))))) | (Y0 @ X1)))))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f297])).
1.39/0.54	thf(f297,plain,(
1.39/0.54	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (Y1 @ Y0))))) @ X1))) )),
1.39/0.54	  inference(pi_clausification,[],[f296])).
1.39/0.54	thf(f296,plain,(
1.39/0.54	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (fool @ Y0 @ Y2)) | (Y1 @ Y2))))) | (Y1 @ Y0)))))))),
1.39/0.54	  inference(beta_eta_normalization,[],[f204])).
1.39/0.54	thf(f204,plain,(
1.39/0.54	  ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ fool @ Y0) @ Y0)))))),
1.39/0.54	  inference(definition_unfolding,[],[f160,f171,f172,f189,f164])).
1.39/0.54	thf(f189,plain,(
1.39/0.54	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
1.39/0.54	  inference(definition_unfolding,[],[f180,f162,f159])).
1.39/0.54	thf(f159,plain,(
1.39/0.54	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
1.39/0.54	  inference(cnf_transformation,[],[f69])).
1.39/0.54	thf(f69,plain,(
1.39/0.54	  (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
1.39/0.54	  inference(fool_elimination,[],[f68])).
1.39/0.54	thf(f68,plain,(
1.39/0.54	  ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
1.39/0.54	  inference(rectify,[],[f3])).
1.39/0.54	thf(f3,axiom,(
1.39/0.54	  ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
1.39/0.54	thf(f162,plain,(
1.39/0.54	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
1.39/0.54	  inference(cnf_transformation,[],[f59])).
1.39/0.54	thf(f59,plain,(
1.39/0.54	  (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
1.39/0.54	  inference(fool_elimination,[],[f58])).
1.39/0.54	thf(f58,plain,(
1.39/0.54	  ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
1.39/0.54	  inference(rectify,[],[f4])).
1.39/0.54	thf(f4,axiom,(
1.39/0.54	  ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
1.39/0.54	thf(f180,plain,(
1.39/0.54	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
1.39/0.54	  inference(cnf_transformation,[],[f71])).
1.39/0.54	thf(f71,plain,(
1.39/0.54	  (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
1.39/0.54	  inference(fool_elimination,[],[f70])).
1.39/0.54	thf(f70,plain,(
1.39/0.54	  ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
1.39/0.54	  inference(rectify,[],[f6])).
1.39/0.54	thf(f6,axiom,(
1.39/0.54	  ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
1.39/0.54	thf(f172,plain,(
1.39/0.54	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
1.39/0.54	  inference(cnf_transformation,[],[f103])).
1.39/0.54	thf(f103,plain,(
1.39/0.54	  (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
1.39/0.54	  inference(fool_elimination,[],[f102])).
1.39/0.54	thf(f102,plain,(
1.39/0.54	  (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))),
1.39/0.54	  inference(rectify,[],[f11])).
1.39/0.54	thf(f11,axiom,(
1.39/0.54	  (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)).
1.39/0.54	thf(f160,plain,(
1.39/0.54	  ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))))),
1.39/0.54	  inference(cnf_transformation,[],[f133])).
1.39/0.54	thf(f133,plain,(
1.39/0.54	  ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))))),
1.39/0.54	  inference(fool_elimination,[],[f132])).
1.39/0.54	thf(f132,plain,(
1.39/0.54	  (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ fool @ X0) @ X0))))),
1.39/0.54	  inference(rectify,[],[f47])).
1.39/0.54	thf(f47,axiom,(
1.39/0.54	  (mvalid @ (mforall_prop @ (^[X12 : $i > $o] : (mimplies @ (mbox @ fool @ X12) @ X12))))),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_axiom_for_fool)).
1.39/0.54	thf(f553,plain,(
1.39/0.54	  spl0_27 | spl0_1),
1.39/0.54	  inference(avatar_split_clause,[],[f222,f442,f551])).
1.39/0.54	thf(f222,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ X3 @ spain)) | ($false = (a @ X1 @ X2)) | ($false = (c @ X3 @ catalunya))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f221])).
1.39/0.54	thf(f221,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (a @ X1 @ X2)) | ($true = ((c @ X3 @ catalunya) => (c @ X3 @ spain)))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f220])).
1.39/0.54	thf(f220,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X3)) | ($false = (a @ X1 @ X2))) )),
1.39/0.54	  inference(pi_clausification,[],[f219])).
1.39/0.54	thf(f219,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2)) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f217])).
1.39/0.54	thf(f217,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2)) | ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) )),
1.39/0.54	  inference(not_proxy_clausification,[],[f216])).
1.39/0.54	thf(f216,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($true = (~ (a @ X1 @ X2))) | ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f214])).
1.39/0.54	thf(f214,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))) = $true) | ($true = (~ (a @ X1 @ X2)))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f213])).
1.39/0.54	thf(f213,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : ((((~ (a @ X1 @ X2)) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) & (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))))))))))))) = $true)) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f212])).
1.39/0.54	thf(f212,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))) & (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))))) @ X2))) )),
1.39/0.54	  inference(pi_clausification,[],[f211])).
1.39/0.54	thf(f211,plain,(
1.39/0.54	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))) & (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))))))))))))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f210])).
1.39/0.54	thf(f210,plain,(
1.39/0.54	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))) & (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))))))) @ X1))) )),
1.39/0.54	  inference(pi_clausification,[],[f209])).
1.39/0.54	thf(f209,plain,(
1.39/0.54	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))) & (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))))))))))))))),
1.39/0.54	  inference(beta_eta_normalization,[],[f206])).
1.39/0.54	thf(f206,plain,(
1.39/0.54	  ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2)))))))) @ catalunya @ spain)))))),
1.39/0.54	  inference(definition_unfolding,[],[f166,f171,f164,f200])).
1.39/0.54	thf(f200,plain,(
1.39/0.54	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1)))))))))),
1.39/0.54	  inference(definition_unfolding,[],[f170,f199,f198,f198])).
1.39/0.54	thf(f198,plain,(
1.39/0.54	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2))))))) @ Y0 @ Y1)))))))),
1.39/0.54	  inference(definition_unfolding,[],[f177,f196])).
1.39/0.54	thf(f177,plain,(
1.39/0.54	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
1.39/0.54	  inference(cnf_transformation,[],[f61])).
1.39/0.54	thf(f61,plain,(
1.39/0.54	  (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
1.39/0.54	  inference(fool_elimination,[],[f60])).
1.39/0.54	thf(f60,plain,(
1.39/0.54	  (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
1.39/0.54	  inference(rectify,[],[f37])).
1.39/0.54	thf(f37,axiom,(
1.39/0.54	  (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec)).
1.39/0.54	thf(f199,plain,(
1.39/0.54	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))),
1.39/0.54	  inference(definition_unfolding,[],[f168,f176,f176])).
1.39/0.54	thf(f168,plain,(
1.39/0.54	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
1.39/0.54	  inference(cnf_transformation,[],[f65])).
1.39/0.54	thf(f65,plain,(
1.39/0.54	  (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
1.39/0.54	  inference(fool_elimination,[],[f64])).
1.39/0.54	thf(f64,plain,(
1.39/0.54	  (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
1.39/0.54	  inference(rectify,[],[f38])).
1.39/0.54	thf(f38,axiom,(
1.39/0.54	  (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp)).
1.39/0.54	thf(f170,plain,(
1.39/0.54	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))))))))),
1.39/0.54	  inference(cnf_transformation,[],[f91])).
1.39/0.54	thf(f91,plain,(
1.39/0.54	  (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))))))))),
1.39/0.54	  inference(fool_elimination,[],[f90])).
1.39/0.54	thf(f90,plain,(
1.39/0.54	  ((^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))) = tpp)),
1.39/0.54	  inference(rectify,[],[f39])).
1.39/0.54	thf(f39,axiom,(
1.39/0.54	  ((^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))) = tpp)),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp)).
1.39/0.54	thf(f166,plain,(
1.39/0.54	  ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
1.39/0.54	  inference(cnf_transformation,[],[f117])).
1.39/0.54	thf(f117,plain,(
1.39/0.54	  ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
1.39/0.54	  inference(fool_elimination,[],[f116])).
1.39/0.54	thf(f116,plain,(
1.39/0.54	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
1.39/0.54	  inference(rectify,[],[f48])).
1.39/0.54	thf(f48,axiom,(
1.39/0.54	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
1.39/0.54	thf(f492,plain,(
1.39/0.54	  spl0_13 | spl0_9),
1.39/0.54	  inference(avatar_split_clause,[],[f328,f475,f490])).
1.39/0.54	thf(f328,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (fool @ X1 @ X2)) | ($true = (c @ (sK9 @ X3) @ X3)) | ($true = (c @ (sK10 @ X3) @ X3))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f326])).
1.39/0.54	thf(f326,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (fool @ X1 @ X2)) | ($true = (c @ (sK9 @ X3) @ X3)) | ($false = ((c @ (sK10 @ X3) @ X3) => (c @ (sK10 @ X3) @ france)))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f324])).
1.39/0.54	thf(f324,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (fool @ X1 @ X2)) | ($false = ((c @ (sK9 @ X3) @ X3) => (c @ (sK9 @ X3) @ spain))) | ($false = ((c @ (sK10 @ X3) @ X3) => (c @ (sK10 @ X3) @ france)))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f323])).
1.39/0.54	thf(f323,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((c @ (sK9 @ X3) @ X3) => (c @ (sK9 @ X3) @ spain))) | ($false = ((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))) @ (sK10 @ X3))) | ($false = (fool @ X1 @ X2))) )),
1.39/0.54	  inference(sigma_clausification,[],[f322])).
1.39/0.54	thf(f322,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))))) | ($false = ((c @ (sK9 @ X3) @ X3) => (c @ (sK9 @ X3) @ spain))) | ($false = (fool @ X1 @ X2))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f321])).
1.39/0.54	thf(f321,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))) @ (sK9 @ X3))) | ($false = (fool @ X1 @ X2)) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))))) )),
1.39/0.54	  inference(sigma_clausification,[],[f320])).
1.39/0.54	thf(f320,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))))) | ($false = (fool @ X1 @ X2)) | ($false = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f319])).
1.39/0.54	thf(f319,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (fool @ X1 @ X2)) | ($false = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))))))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f318])).
1.39/0.54	thf(f318,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (fool @ X1 @ X2)) | (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))) @ X3) = $false)) )),
1.39/0.54	  inference(pi_clausification,[],[f317])).
1.39/0.54	thf(f317,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($false = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))) | ($false = (fool @ X1 @ X2))) )),
1.39/0.54	  inference(not_proxy_clausification,[],[f315])).
1.39/0.54	thf(f315,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($true = (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))) | ($false = (fool @ X1 @ X2))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f314])).
1.39/0.54	thf(f314,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($false = (fool @ X1 @ X2)) | ($true = ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))))) )),
1.39/0.54	  inference(not_proxy_clausification,[],[f313])).
1.39/0.54	thf(f313,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($true = (~ (fool @ X1 @ X2))) | ($true = ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))))))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f312])).
1.39/0.54	thf(f312,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : ((((~ (fool @ X1 @ X2)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))))))) = $true)) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f311])).
1.39/0.54	thf(f311,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))))))) @ X2))) )),
1.39/0.54	  inference(pi_clausification,[],[f310])).
1.39/0.54	thf(f310,plain,(
1.39/0.54	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (fool @ X1 @ Y0)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) = $true)) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f309])).
1.39/0.54	thf(f309,plain,(
1.39/0.54	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))))))))) @ X1))) )),
1.39/0.54	  inference(pi_clausification,[],[f308])).
1.39/0.54	thf(f308,plain,(
1.39/0.54	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (fool @ Y0 @ Y1)) | ((c @ spain @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))))))))))),
1.39/0.54	  inference(beta_eta_normalization,[],[f208])).
1.39/0.54	thf(f208,plain,(
1.39/0.54	  ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((c @ Y1 @ Y2) & (~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3))))))) @ Y1 @ Y2)))))) @ spain @ france)))))),
1.39/0.54	  inference(definition_unfolding,[],[f186,f171,f164,f198])).
1.39/0.54	thf(f186,plain,(
1.39/0.54	  ($true = (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))))),
1.39/0.54	  inference(cnf_transformation,[],[f139])).
1.39/0.54	thf(f139,plain,(
1.39/0.54	  ($true = (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))))),
1.39/0.54	  inference(fool_elimination,[],[f138])).
1.39/0.54	thf(f138,plain,(
1.39/0.54	  (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
1.39/0.54	  inference(rectify,[],[f46])).
1.39/0.54	thf(f46,axiom,(
1.39/0.54	  (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
1.39/0.54	thf(f488,plain,(
1.39/0.54	  spl0_12 | spl0_9),
1.39/0.54	  inference(avatar_split_clause,[],[f327,f475,f486])).
1.39/0.54	thf(f327,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (fool @ X1 @ X2)) | ($false = (c @ (sK10 @ X3) @ france)) | ($true = (c @ (sK9 @ X3) @ X3))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f326])).
1.39/0.54	thf(f484,plain,(
1.39/0.54	  spl0_9 | spl0_11),
1.39/0.54	  inference(avatar_split_clause,[],[f330,f482,f475])).
1.39/0.54	thf(f330,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ (sK10 @ X3) @ X3)) | ($false = (fool @ X1 @ X2)) | ($false = (c @ (sK9 @ X3) @ spain))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f325])).
1.39/0.54	thf(f325,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = ((c @ (sK10 @ X3) @ X3) => (c @ (sK10 @ X3) @ france))) | ($false = (fool @ X1 @ X2)) | ($false = (c @ (sK9 @ X3) @ spain))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f324])).
1.39/0.54	thf(f480,plain,(
1.39/0.54	  spl0_9 | spl0_10),
1.39/0.54	  inference(avatar_split_clause,[],[f329,f478,f475])).
1.39/0.54	thf(f329,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (fool @ X1 @ X2)) | ($false = (c @ (sK9 @ X3) @ spain)) | ($false = (c @ (sK10 @ X3) @ france))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f325])).
1.39/0.54	thf(f473,plain,(
1.39/0.54	  spl0_1 | spl0_8),
1.39/0.54	  inference(avatar_split_clause,[],[f361,f471,f442])).
1.39/0.54	thf(f361,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ X3 @ france)) | ($false = (a @ X1 @ X2)) | ($false = (c @ X3 @ paris))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f360])).
1.39/0.54	thf(f360,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((c @ X3 @ paris) => (c @ X3 @ france))) | ($false = (a @ X1 @ X2))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f359])).
1.39/0.54	thf(f359,plain,(
1.39/0.54	  ( ! [X2 : $i,X3 : reg,X1 : $i] : (($false = (a @ X1 @ X2)) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X3))) )),
1.39/0.54	  inference(pi_clausification,[],[f358])).
1.39/0.54	thf(f358,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($false = (a @ X1 @ X2)) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f356])).
1.39/0.54	thf(f356,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))))) | ($false = (a @ X1 @ X2))) )),
1.39/0.54	  inference(not_proxy_clausification,[],[f355])).
1.39/0.54	thf(f355,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($true = (~ (a @ X1 @ X2))) | ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f353])).
1.39/0.54	thf(f353,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))))) | ($true = (~ (a @ X1 @ X2)))) )),
1.39/0.54	  inference(binary_proxy_clausification,[],[f352])).
1.39/0.54	thf(f352,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))) & ((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0))))))))))))))))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f351])).
1.39/0.54	thf(f351,plain,(
1.39/0.54	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))))))))))))))) @ X2))) )),
1.39/0.54	  inference(pi_clausification,[],[f350])).
1.39/0.54	thf(f350,plain,(
1.39/0.54	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))) & ((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1))))))))))))))))))) )),
1.39/0.54	  inference(beta_eta_normalization,[],[f349])).
1.39/0.54	thf(f349,plain,(
1.39/0.54	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))))))))))))))))) @ X1))) )),
1.39/0.54	  inference(pi_clausification,[],[f348])).
1.39/0.54	thf(f348,plain,(
1.39/0.54	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))) & ((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2))))))))))))))))))))),
1.39/0.54	  inference(beta_eta_normalization,[],[f205])).
1.39/0.54	thf(f205,plain,(
1.39/0.54	  ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1))))))))) @ paris @ france)))))),
1.39/0.54	  inference(definition_unfolding,[],[f165,f171,f164,f201])).
1.39/0.54	thf(f201,plain,(
1.39/0.54	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0))))))))))),
1.39/0.54	  inference(definition_unfolding,[],[f173,f199,f198,f198])).
1.39/0.54	thf(f173,plain,(
1.39/0.54	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))))))))),
1.39/0.54	  inference(cnf_transformation,[],[f93])).
1.39/0.54	thf(f93,plain,(
1.39/0.54	  (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y1) & (ec @ Y2 @ Y0))))))))))),
1.39/0.54	  inference(fool_elimination,[],[f92])).
1.39/0.54	thf(f92,plain,(
1.39/0.54	  (ntpp = (^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X0) & (ec @ X2 @ X1)) & (pp @ X0 @ X1))))),
1.39/0.54	  inference(rectify,[],[f40])).
1.39/0.54	thf(f40,axiom,(
1.39/0.54	  (ntpp = (^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X0) & (ec @ X11 @ X1)) & (pp @ X0 @ X1))))),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp)).
1.39/0.54	thf(f165,plain,(
1.39/0.54	  ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
1.39/0.54	  inference(cnf_transformation,[],[f122])).
1.39/0.54	thf(f122,plain,(
1.39/0.54	  ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
1.39/0.54	  inference(fool_elimination,[],[f121])).
1.39/0.54	thf(f121,plain,(
1.39/0.54	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
1.39/0.54	  inference(rectify,[],[f43])).
1.39/0.54	thf(f43,axiom,(
1.39/0.54	  (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
1.39/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
1.39/0.54	% SZS output end Proof for theBenchmark
1.39/0.54	% (4808)------------------------------
1.39/0.54	% (4808)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.39/0.54	% (4808)Termination reason: Refutation
1.39/0.54	
1.39/0.54	% (4808)Memory used [KB]: 6524
1.39/0.54	% (4808)Time elapsed: 0.154 s
1.39/0.54	% (4808)Instructions burned: 248 (million)
1.39/0.54	% (4808)------------------------------
1.39/0.54	% (4808)------------------------------
1.39/0.54	% (4804)Success in time 0.165 s
1.39/0.54	% Vampire---4.8 exiting
1.39/0.54	EOF