0.07/0.15	% Problem    : Vampire---4.8_21520 : TPTP v0.0.0. Released v0.0.0.
0.07/0.17	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.18/0.38	% Computer : n015.cluster.edu
0.18/0.38	% Model    : x86_64 x86_64
0.18/0.38	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.18/0.38	% Memory   : 8042.1875MB
0.18/0.38	% OS       : Linux 3.10.0-693.el7.x86_64
0.18/0.38	% CPULimit   : 1440
0.18/0.38	% WCLimit    : 180
0.18/0.38	% DateTime   : Mon Jul  3 13:12:40 EDT 2023
0.18/0.38	% CPUTime    : 
0.18/0.38	This is a THF_ problem
0.18/0.38	Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.Iw8Cnoukfy/Vampire---4.8_21520 -m 12000  -t 180
0.25/0.42	% (21740)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.25/0.42	% (21742)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi)
0.25/0.42	% (21741)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.25/0.42	% (21743)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi)
0.25/0.42	% (21744)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.25/0.42	% (21745)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 Vampire---4 for (1799ds/74Mi)
0.25/0.42	% (21746)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi)
0.25/0.42	% (21746)Instruction limit reached!
0.25/0.42	% (21746)------------------------------
0.25/0.42	% (21746)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.42	% (21746)Termination reason: Unknown
0.25/0.42	% (21746)Termination phase: shuffling
0.25/0.42	
0.25/0.42	% (21746)Memory used [KB]: 1279
0.25/0.42	% (21746)Time elapsed: 0.005 s
0.25/0.42	% (21746)Instructions burned: 5 (million)
0.25/0.42	% (21746)------------------------------
0.25/0.42	% (21746)------------------------------
0.25/0.43	% (21747)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi)
0.25/0.43	% (21744)Instruction limit reached!
0.25/0.43	% (21744)------------------------------
0.25/0.43	% (21744)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.43	% (21744)Termination reason: Unknown
0.25/0.43	% (21744)Termination phase: shuffling
0.25/0.43	
0.25/0.43	% (21744)Memory used [KB]: 1535
0.25/0.43	% (21744)Time elapsed: 0.011 s
0.25/0.43	% (21744)Instructions burned: 17 (million)
0.25/0.43	% (21744)------------------------------
0.25/0.43	% (21744)------------------------------
0.25/0.44	% (21742)Instruction limit reached!
0.25/0.44	% (21742)------------------------------
0.25/0.44	% (21742)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.44	% (21742)Termination reason: Unknown
0.25/0.44	% (21742)Termination phase: Property scanning
0.25/0.44	
0.25/0.44	% (21742)Memory used [KB]: 1791
0.25/0.44	% (21742)Time elapsed: 0.019 s
0.25/0.44	% (21742)Instructions burned: 34 (million)
0.25/0.44	% (21742)------------------------------
0.25/0.44	% (21742)------------------------------
0.25/0.44	% (21741)Instruction limit reached!
0.25/0.44	% (21741)------------------------------
0.25/0.44	% (21741)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.44	% (21741)Termination reason: Unknown
0.25/0.44	% (21741)Termination phase: Property scanning
0.25/0.44	
0.25/0.44	% (21741)Memory used [KB]: 1791
0.25/0.44	% (21741)Time elapsed: 0.020 s
0.25/0.44	% (21741)Instructions burned: 38 (million)
0.25/0.44	% (21741)------------------------------
0.25/0.44	% (21741)------------------------------
0.25/0.44	% (21748)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 Vampire---4 for (1799ds/21Mi)
0.25/0.44	% (21749)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.25/0.45	% (21749)Instruction limit reached!
0.25/0.45	% (21749)------------------------------
0.25/0.45	% (21749)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.45	% (21749)Termination reason: Unknown
0.25/0.45	% (21749)Termination phase: shuffling
0.25/0.45	
0.25/0.45	% (21749)Memory used [KB]: 1407
0.25/0.45	% (21749)Time elapsed: 0.006 s
0.25/0.45	% (21749)Instructions burned: 7 (million)
0.25/0.45	% (21749)------------------------------
0.25/0.45	% (21749)------------------------------
0.25/0.45	% (21743)Refutation not found, incomplete strategy
0.25/0.45	% (21743)------------------------------
0.25/0.45	% (21743)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.45	% (21743)Termination reason: Refutation not found, incomplete strategy
0.25/0.45	
0.25/0.45	
0.25/0.45	% (21743)Memory used [KB]: 6268
0.25/0.45	% (21743)Time elapsed: 0.031 s
0.25/0.45	% (21743)Instructions burned: 59 (million)
0.25/0.45	% (21743)------------------------------
0.25/0.45	% (21743)------------------------------
0.25/0.45	% (21748)Instruction limit reached!
0.25/0.45	% (21748)------------------------------
0.25/0.45	% (21748)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.45	% (21748)Termination reason: Unknown
0.25/0.45	% (21748)Termination phase: shuffling
0.25/0.45	
0.25/0.45	% (21748)Memory used [KB]: 1663
0.25/0.45	% (21748)Time elapsed: 0.013 s
0.25/0.45	% (21748)Instructions burned: 22 (million)
0.25/0.45	% (21748)------------------------------
0.25/0.45	% (21748)------------------------------
0.25/0.45	% (21750)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 Vampire---4 for (1799ds/1021Mi)
0.25/0.45	% (21751)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi)
0.25/0.45	% (21745)Instruction limit reached!
0.25/0.45	% (21745)------------------------------
0.25/0.45	% (21745)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.45	% (21745)Termination reason: Unknown
0.25/0.45	% (21745)Termination phase: Function definition elimination
0.25/0.45	
0.25/0.45	% (21745)Memory used [KB]: 1918
0.25/0.45	% (21745)Time elapsed: 0.035 s
0.25/0.45	% (21745)Instructions burned: 75 (million)
0.25/0.45	% (21745)------------------------------
0.25/0.45	% (21745)------------------------------
0.25/0.46	% (21752)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 Vampire---4 for (1799ds/9Mi)
0.25/0.46	% (21740)Instruction limit reached!
0.25/0.46	% (21740)------------------------------
0.25/0.46	% (21740)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.46	% (21740)Termination reason: Unknown
0.25/0.46	% (21740)Termination phase: Saturation
0.25/0.46	
0.25/0.46	% (21740)Memory used [KB]: 6652
0.25/0.46	% (21740)Time elapsed: 0.046 s
0.25/0.46	% (21740)Instructions burned: 96 (million)
0.25/0.46	% (21740)------------------------------
0.25/0.46	% (21740)------------------------------
0.25/0.46	% (21753)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi)
0.25/0.46	% (21754)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi)
0.25/0.47	% (21752)Instruction limit reached!
0.25/0.47	% (21752)------------------------------
0.25/0.47	% (21752)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.47	% (21752)Termination reason: Unknown
0.25/0.47	% (21752)Termination phase: shuffling
0.25/0.47	
0.25/0.47	% (21752)Memory used [KB]: 1407
0.25/0.47	% (21752)Time elapsed: 0.007 s
0.25/0.47	% (21752)Instructions burned: 9 (million)
0.25/0.47	% (21752)------------------------------
0.25/0.47	% (21752)------------------------------
0.25/0.47	% (21755)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.25/0.48	% (21756)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.25/0.48	% (21757)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 Vampire---4 for (1799ds/2Mi)
0.25/0.48	% (21757)Instruction limit reached!
0.25/0.48	% (21757)------------------------------
0.25/0.48	% (21757)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.48	% (21757)Termination reason: Unknown
0.25/0.48	% (21757)Termination phase: shuffling
0.25/0.48	
0.25/0.48	% (21757)Memory used [KB]: 1279
0.25/0.48	% (21757)Time elapsed: 0.004 s
0.25/0.48	% (21757)Instructions burned: 3 (million)
0.25/0.48	% (21757)------------------------------
0.25/0.48	% (21757)------------------------------
0.25/0.49	% (21751)Instruction limit reached!
0.25/0.49	% (21751)------------------------------
0.25/0.49	% (21751)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.49	% (21751)Termination reason: Unknown
0.25/0.49	% (21751)Termination phase: Function definition elimination
0.25/0.49	
0.25/0.49	% (21751)Memory used [KB]: 1791
0.25/0.49	% (21751)Time elapsed: 0.035 s
0.25/0.49	% (21751)Instructions burned: 72 (million)
0.25/0.49	% (21751)------------------------------
0.25/0.49	% (21751)------------------------------
0.25/0.49	% (21756)Instruction limit reached!
0.25/0.49	% (21756)------------------------------
0.25/0.49	% (21756)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.49	% (21756)Termination reason: Unknown
0.25/0.49	% (21756)Termination phase: shuffling
0.25/0.49	
0.25/0.49	% (21756)Memory used [KB]: 1663
0.25/0.49	% (21756)Time elapsed: 0.011 s
0.25/0.49	% (21756)Instructions burned: 14 (million)
0.25/0.49	% (21756)------------------------------
0.25/0.49	% (21756)------------------------------
0.25/0.49	% (21753)Refutation not found, incomplete strategy
0.25/0.49	% (21753)------------------------------
0.25/0.49	% (21753)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.49	% (21753)Termination reason: Refutation not found, incomplete strategy
0.25/0.49	
0.25/0.49	
0.25/0.49	% (21753)Memory used [KB]: 6268
0.25/0.49	% (21753)Time elapsed: 0.055 s
0.25/0.49	% (21753)Instructions burned: 57 (million)
0.25/0.49	% (21753)------------------------------
0.25/0.49	% (21753)------------------------------
0.25/0.50	% (21758)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 Vampire---4 for (1799ds/1041Mi)
0.25/0.50	% (21759)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1799ds/11Mi)
0.25/0.50	% (21755)Instruction limit reached!
0.25/0.50	% (21755)------------------------------
0.25/0.50	% (21755)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.50	% (21755)Termination reason: Unknown
0.25/0.50	% (21755)Termination phase: Property scanning
0.25/0.50	
0.25/0.50	% (21755)Memory used [KB]: 3070
0.25/0.50	% (21755)Time elapsed: 0.036 s
0.25/0.50	% (21755)Instructions burned: 62 (million)
0.25/0.50	% (21755)------------------------------
0.25/0.50	% (21755)------------------------------
0.25/0.50	% (21760)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi)
0.25/0.51	% (21759)Instruction limit reached!
0.25/0.51	% (21759)------------------------------
0.25/0.51	% (21759)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.51	% (21759)Termination reason: Unknown
0.25/0.51	% (21759)Termination phase: shuffling
0.25/0.51	
0.25/0.51	% (21759)Memory used [KB]: 1407
0.25/0.51	% (21759)Time elapsed: 0.008 s
0.25/0.51	% (21759)Instructions burned: 12 (million)
0.25/0.51	% (21759)------------------------------
0.25/0.51	% (21759)------------------------------
0.25/0.51	% (21761)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 Vampire---4 for (1798ds/26Mi)
0.25/0.52	% (21754)First to succeed.
1.04/0.52	% (21762)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi)
1.04/0.52	% (21761)Instruction limit reached!
1.04/0.52	% (21761)------------------------------
1.04/0.52	% (21761)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.04/0.52	% (21761)Termination reason: Unknown
1.04/0.52	% (21761)Termination phase: Property scanning
1.04/0.52	
1.04/0.52	% (21761)Memory used [KB]: 1663
1.04/0.52	% (21761)Time elapsed: 0.015 s
1.04/0.52	% (21761)Instructions burned: 27 (million)
1.04/0.52	% (21761)------------------------------
1.04/0.52	% (21761)------------------------------
1.04/0.52	% (21763)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi)
1.04/0.52	% (21754)Refutation found. Thanks to Tanya!
1.04/0.52	% SZS status Theorem for Vampire---4
1.04/0.52	% SZS output start Proof for Vampire---4
1.04/0.52	thf(type_def_5, type, term: $tType).
1.04/0.52	thf(type_def_7, type, subst: $tType).
1.04/0.52	thf(func_def_0, type, term: $tType).
1.04/0.52	thf(func_def_1, type, subst: $tType).
1.04/0.52	thf(func_def_2, type, one: term).
1.04/0.52	thf(func_def_3, type, ap: term > term > term).
1.04/0.52	thf(func_def_4, type, lam: term > term).
1.04/0.52	thf(func_def_5, type, sub: term > subst > term).
1.04/0.52	thf(func_def_6, type, id: subst).
1.04/0.52	thf(func_def_7, type, sh: subst).
1.04/0.52	thf(func_def_8, type, push: term > subst > subst).
1.04/0.52	thf(func_def_9, type, comp: subst > subst > subst).
1.04/0.52	thf(func_def_10, type, var: term > $o).
1.04/0.52	thf(func_def_18, type, hoasap: subst > term > subst > term > term).
1.04/0.52	thf(func_def_73, type, hoaslam: subst > (subst > term > term) > term).
1.04/0.52	thf(func_def_86, type, hoasinduction_p_and_p_prime: (subst > term > subst > $o) > (term > $o) > $o).
1.04/0.52	thf(func_def_107, type, hoasvar: subst > term > subst > $o).
1.04/0.52	thf(func_def_121, type, pushprop_p_and_p_prime: term > subst > (term > $o) > (term > $o) > $o).
1.04/0.52	thf(func_def_142, type, sK1: subst > term > term).
1.04/0.52	thf(func_def_143, type, sK2: subst > term > term).
1.04/0.52	thf(func_def_144, type, sK3: term).
1.04/0.52	thf(func_def_145, type, sK4: subst).
1.04/0.52	thf(f619,plain,(
1.04/0.52	  $false),
1.04/0.52	  inference(trivial_inequality_removal,[],[f618])).
1.04/0.52	thf(f618,plain,(
1.04/0.52	  ((sK1 @ sK4 @ sK3) != (sK1 @ sK4 @ sK3))),
1.04/0.52	  inference(superposition,[],[f576,f613])).
1.04/0.52	thf(f613,plain,(
1.04/0.52	  ( ! [X0 : term,X1 : subst] : (((sK2 @ X1 @ X0) = (sK1 @ X1 @ X0))) )),
1.04/0.52	  inference(forward_demodulation,[],[f612,f586])).
1.04/0.52	thf(f586,plain,(
1.04/0.52	  ( ! [X0 : term,X1 : subst] : (((sub @ (sK1 @ sh @ one) @ (push @ X0 @ X1)) = (sK1 @ X1 @ X0))) )),
1.04/0.52	  inference(superposition,[],[f578,f537])).
1.04/0.52	thf(f537,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : subst] : (((comp @ sh @ (push @ X2 @ X1)) = X1)) )),
1.04/0.52	  inference(equality_proxy_clausification,[],[f536])).
1.04/0.52	thf(f536,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : subst] : (($true = ((comp @ sh @ (push @ X2 @ X1)) = X1))) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f535])).
1.04/0.52	thf(f535,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : subst] : (($true = ((^[Y0 : term]: ((comp @ sh @ (push @ Y0 @ X1)) = X1)) @ X2))) )),
1.04/0.52	  inference(pi_clausification,[],[f534])).
1.04/0.52	thf(f534,plain,(
1.04/0.52	  ( ! [X1 : subst] : (((!! @ term @ (^[Y0 : term]: ((comp @ sh @ (push @ Y0 @ X1)) = X1))) = $true)) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f533])).
1.04/0.52	thf(f533,plain,(
1.04/0.52	  ( ! [X1 : subst] : ((((^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0)))) @ X1) = $true)) )),
1.04/0.52	  inference(pi_clausification,[],[f532])).
1.04/0.52	thf(f532,plain,(
1.04/0.52	  ($true = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))))),
1.04/0.52	  inference(binary_proxy_clausification,[],[f524])).
1.04/0.52	thf(f524,plain,(
1.04/0.52	  (((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => (!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1)) = (sub @ (Y0 @ Y3 @ Y2) @ Y1)))))))) => (!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: (!! @ subst @ (^[Y4 : subst]: ((Y1 @ (comp @ Y2 @ Y4) @ (sub @ Y3 @ Y4)) = (sub @ (Y1 @ Y2 @ Y3) @ Y4)))))))) => (((lam @ (Y1 @ sh @ one)) = (lam @ (Y0 @ sh @ one))) => (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y1 @ Y3 @ Y2) = (Y0 @ Y3 @ Y2))))))))))))))) = $false)),
1.04/0.52	  inference(binary_proxy_clausification,[],[f523])).
1.04/0.52	thf(f523,plain,(
1.04/0.52	  ($true != ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => (!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1)) = (sub @ (Y0 @ Y3 @ Y2) @ Y1)))))))) => (!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: (!! @ subst @ (^[Y4 : subst]: ((Y1 @ (comp @ Y2 @ Y4) @ (sub @ Y3 @ Y4)) = (sub @ (Y1 @ Y2 @ Y3) @ Y4)))))))) => (((lam @ (Y1 @ sh @ one)) = (lam @ (Y0 @ sh @ one))) => (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y1 @ Y3 @ Y2) = (Y0 @ Y3 @ Y2)))))))))))))))))),
1.04/0.52	  inference(beta_eta_normalization,[],[f522])).
1.04/0.52	thf(f522,plain,(
1.04/0.52	  ($true != ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => (!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1)) = (sub @ (Y0 @ Y3 @ Y2) @ Y1)))))))) => (!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: (!! @ subst @ (^[Y4 : subst]: ((Y1 @ (comp @ Y2 @ Y4) @ (sub @ Y3 @ Y4)) = (sub @ (Y1 @ Y2 @ Y3) @ Y4)))))))) => ((((^[Y2 : subst]: ((^[Y3 : subst > term > term]: (lam @ (Y3 @ sh @ one))))) @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y1 @ Y2 @ Y3))))) = ((^[Y2 : subst]: ((^[Y3 : subst > term > term]: (lam @ (Y3 @ sh @ one))))) @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y0 @ Y2 @ Y3)))))) => (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y1 @ Y3 @ Y2) = (Y0 @ Y3 @ Y2)))))))))))))))))),
1.04/0.52	  inference(definition_unfolding,[],[f365,f497])).
1.04/0.52	thf(f497,plain,(
1.04/0.52	  (hoaslaminj_lthm = ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => (!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1)) = (sub @ (Y0 @ Y3 @ Y2) @ Y1)))))))) => (!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: (!! @ subst @ (^[Y4 : subst]: ((Y1 @ (comp @ Y2 @ Y4) @ (sub @ Y3 @ Y4)) = (sub @ (Y1 @ Y2 @ Y3) @ Y4)))))))) => ((((^[Y2 : subst]: ((^[Y3 : subst > term > term]: (lam @ (Y3 @ sh @ one))))) @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y1 @ Y2 @ Y3))))) = ((^[Y2 : subst]: ((^[Y3 : subst > term > term]: (lam @ (Y3 @ sh @ one))))) @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y0 @ Y2 @ Y3)))))) => (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y1 @ Y3 @ Y2) = (Y0 @ Y3 @ Y2)))))))))))))))))),
1.04/0.52	  inference(definition_unfolding,[],[f437,f413,f395,f401,f452])).
1.04/0.52	thf(f452,plain,(
1.04/0.52	  (hoaslaminj = (!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1)) = (sub @ (Y0 @ Y3 @ Y2) @ Y1)))))))) => (!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: (!! @ subst @ (^[Y4 : subst]: ((Y1 @ (comp @ Y2 @ Y4) @ (sub @ Y3 @ Y4)) = (sub @ (Y1 @ Y2 @ Y3) @ Y4)))))))) => ((((^[Y2 : subst]: ((^[Y3 : subst > term > term]: (lam @ (Y3 @ sh @ one))))) @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y1 @ Y2 @ Y3))))) = ((^[Y2 : subst]: ((^[Y3 : subst > term > term]: (lam @ (Y3 @ sh @ one))))) @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y0 @ Y2 @ Y3)))))) => (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y1 @ Y3 @ Y2) = (Y0 @ Y3 @ Y2))))))))))))))),
1.04/0.52	  inference(definition_unfolding,[],[f332,f415,f415])).
1.04/0.52	thf(f415,plain,(
1.04/0.52	  (hoaslam = (^[Y0 : subst]: ((^[Y1 : subst > term > term]: (lam @ (Y1 @ sh @ one))))))),
1.04/0.52	  inference(cnf_transformation,[],[f130])).
1.04/0.52	thf(f130,plain,(
1.04/0.52	  (hoaslam = (^[Y0 : subst]: ((^[Y1 : subst > term > term]: (lam @ (Y1 @ sh @ one))))))),
1.04/0.52	  inference(fool_elimination,[],[f129])).
1.04/0.52	thf(f129,plain,(
1.04/0.52	  ((^[X0 : subst, X1 : subst > term > term] : (lam @ (X1 @ sh @ one))) = hoaslam)),
1.04/0.52	  inference(rectify,[],[f56])).
1.04/0.52	thf(f56,axiom,(
1.04/0.52	  ((^[X2 : subst, X10 : subst > term > term] : (lam @ (X10 @ sh @ one))) = hoaslam)),
1.04/0.52	  file('/export/starexec/sandbox2/tmp/tmp.Iw8Cnoukfy/Vampire---4.8_21520',hoaslam)).
1.04/0.52	thf(f332,plain,(
1.04/0.52	  (hoaslaminj = (!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1)) = (sub @ (Y0 @ Y3 @ Y2) @ Y1)))))))) => (!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: (!! @ subst @ (^[Y4 : subst]: ((Y1 @ (comp @ Y2 @ Y4) @ (sub @ Y3 @ Y4)) = (sub @ (Y1 @ Y2 @ Y3) @ Y4)))))))) => (((hoaslam @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y1 @ Y2 @ Y3))))) = (hoaslam @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y0 @ Y2 @ Y3)))))) => (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y1 @ Y3 @ Y2) = (Y0 @ Y3 @ Y2))))))))))))))),
1.04/0.52	  inference(cnf_transformation,[],[f120])).
1.04/0.52	thf(f120,plain,(
1.04/0.52	  (hoaslaminj = (!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1)) = (sub @ (Y0 @ Y3 @ Y2) @ Y1)))))))) => (!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: (!! @ subst @ (^[Y4 : subst]: ((Y1 @ (comp @ Y2 @ Y4) @ (sub @ Y3 @ Y4)) = (sub @ (Y1 @ Y2 @ Y3) @ Y4)))))))) => (((hoaslam @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y1 @ Y2 @ Y3))))) = (hoaslam @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y0 @ Y2 @ Y3)))))) => (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y1 @ Y3 @ Y2) = (Y0 @ Y3 @ Y2))))))))))))))),
1.04/0.52	  inference(fool_elimination,[],[f119])).
1.04/0.52	thf(f119,plain,(
1.04/0.52	  (! [X0 : subst > term > term] : (! [X1 : subst,X2 : term,X3 : subst] : ((X0 @ (comp @ X1 @ X3) @ (sub @ X2 @ X3)) = (sub @ (X0 @ X1 @ X2) @ X3)) => ! [X4 : subst > term > term] : (! [X5 : subst,X6 : term,X7 : subst] : ((X4 @ (comp @ X7 @ X5) @ (sub @ X6 @ X5)) = (sub @ (X4 @ X7 @ X6) @ X5)) => (((hoaslam @ id @ (^[X8 : subst, X9 : term] : (X4 @ X8 @ X9))) = (hoaslam @ id @ (^[X10 : subst, X11 : term] : (X0 @ X10 @ X11)))) => ! [X12 : subst,X13 : term] : ((X4 @ X12 @ X13) = (X0 @ X12 @ X13))))) = hoaslaminj)),
1.04/0.52	  inference(rectify,[],[f64])).
1.04/0.52	thf(f64,axiom,(
1.04/0.52	  (! [X10 : subst > term > term] : (! [X2 : subst,X0 : term,X3 : subst] : ((sub @ (X10 @ X2 @ X0) @ X3) = (X10 @ (comp @ X2 @ X3) @ (sub @ X0 @ X3))) => ! [X11 : subst > term > term] : (! [X3 : subst,X0 : term,X2 : subst] : ((sub @ (X11 @ X2 @ X0) @ X3) = (X11 @ (comp @ X2 @ X3) @ (sub @ X0 @ X3))) => (((hoaslam @ id @ (^[X2 : subst, X0 : term] : (X11 @ X2 @ X0))) = (hoaslam @ id @ (^[X2 : subst, X0 : term] : (X10 @ X2 @ X0)))) => ! [X2 : subst,X0 : term] : ((X10 @ X2 @ X0) = (X11 @ X2 @ X0))))) = hoaslaminj)),
1.04/0.52	  file('/export/starexec/sandbox2/tmp/tmp.Iw8Cnoukfy/Vampire---4.8_21520',hoaslaminj)).
1.04/0.52	thf(f401,plain,(
1.04/0.52	  (laminj = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))))),
1.04/0.52	  inference(cnf_transformation,[],[f208])).
1.04/0.52	thf(f208,plain,(
1.04/0.52	  (laminj = (!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))))),
1.04/0.52	  inference(fool_elimination,[],[f207])).
1.04/0.52	thf(f207,plain,(
1.04/0.52	  (! [X0 : term,X1 : term] : (((lam @ X0) = (lam @ X1)) => (X0 = X1)) = laminj)),
1.04/0.52	  inference(rectify,[],[f18])).
1.04/0.52	thf(f18,axiom,(
1.04/0.52	  (! [X1 : term,X0 : term] : (((lam @ X0) = (lam @ X1)) => (X0 = X1)) = laminj)),
1.04/0.52	  file('/export/starexec/sandbox2/tmp/tmp.Iw8Cnoukfy/Vampire---4.8_21520',laminj)).
1.04/0.52	thf(f395,plain,(
1.04/0.52	  (axshiftcons = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))))),
1.04/0.52	  inference(cnf_transformation,[],[f286])).
1.04/0.52	thf(f286,plain,(
1.04/0.52	  (axshiftcons = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((comp @ sh @ (push @ Y1 @ Y0)) = Y0))))))),
1.04/0.52	  inference(fool_elimination,[],[f285])).
1.04/0.52	thf(f285,plain,(
1.04/0.52	  (! [X0 : term,X1 : subst] : ((comp @ sh @ (push @ X0 @ X1)) = X1) = axshiftcons)),
1.04/0.52	  inference(rectify,[],[f7])).
1.04/0.52	thf(f7,axiom,(
1.04/0.52	  (! [X0 : term,X2 : subst] : ((comp @ sh @ (push @ X0 @ X2)) = X2) = axshiftcons)),
1.04/0.52	  file('/export/starexec/sandbox2/tmp/tmp.Iw8Cnoukfy/Vampire---4.8_21520',axshiftcons)).
1.04/0.52	thf(f413,plain,(
1.04/0.52	  (axvarcons = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))))),
1.04/0.52	  inference(cnf_transformation,[],[f282])).
1.04/0.52	thf(f282,plain,(
1.04/0.52	  (axvarcons = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))))),
1.04/0.52	  inference(fool_elimination,[],[f281])).
1.04/0.52	thf(f281,plain,(
1.04/0.52	  (! [X0 : subst,X1 : term] : ((sub @ one @ (push @ X1 @ X0)) = X1) = axvarcons)),
1.04/0.52	  inference(rectify,[],[f2])).
1.04/0.52	thf(f2,axiom,(
1.04/0.52	  (! [X2 : subst,X0 : term] : ((sub @ one @ (push @ X0 @ X2)) = X0) = axvarcons)),
1.04/0.52	  file('/export/starexec/sandbox2/tmp/tmp.Iw8Cnoukfy/Vampire---4.8_21520',axvarcons)).
1.04/0.52	thf(f437,plain,(
1.04/0.52	  (hoaslaminj_lthm = (axvarcons => (axshiftcons => (laminj => hoaslaminj))))),
1.04/0.52	  inference(cnf_transformation,[],[f243])).
1.04/0.52	thf(f243,plain,(
1.04/0.52	  (hoaslaminj_lthm = (axvarcons => (axshiftcons => (laminj => hoaslaminj))))),
1.04/0.52	  inference(fool_elimination,[],[f242])).
1.04/0.52	thf(f242,plain,(
1.04/0.52	  (hoaslaminj_lthm = axvarcons => (axshiftcons => (laminj => hoaslaminj)))),
1.04/0.52	  inference(rectify,[],[f66])).
1.04/0.52	thf(f66,axiom,(
1.04/0.52	  (hoaslaminj_lthm = axvarcons => (axshiftcons => (laminj => hoaslaminj)))),
1.04/0.52	  file('/export/starexec/sandbox2/tmp/tmp.Iw8Cnoukfy/Vampire---4.8_21520',hoaslaminj_lthm)).
1.04/0.52	thf(f365,plain,(
1.04/0.52	  (hoaslaminj_lthm != $true)),
1.04/0.52	  inference(cnf_transformation,[],[f330])).
1.04/0.52	thf(f330,plain,(
1.04/0.52	  (hoaslaminj_lthm != $true)),
1.04/0.52	  inference(flattening,[],[f196])).
1.04/0.52	thf(f196,plain,(
1.04/0.52	  ~(hoaslaminj_lthm = $true)),
1.04/0.52	  inference(fool_elimination,[],[f195])).
1.04/0.52	thf(f195,plain,(
1.04/0.52	  ~hoaslaminj_lthm),
1.04/0.52	  inference(rectify,[],[f115])).
1.04/0.52	thf(f115,negated_conjecture,(
1.04/0.52	  ~hoaslaminj_lthm),
1.04/0.52	  inference(negated_conjecture,[],[f114])).
1.04/0.52	thf(f114,conjecture,(
1.04/0.52	  hoaslaminj_lthm),
1.04/0.52	  file('/export/starexec/sandbox2/tmp/tmp.Iw8Cnoukfy/Vampire---4.8_21520',thm)).
1.04/0.52	thf(f578,plain,(
1.04/0.52	  ( ! [X2 : subst,X0 : term,X1 : subst] : (((sK1 @ (comp @ X2 @ (push @ X0 @ X1)) @ X0) = (sub @ (sK1 @ X2 @ one) @ (push @ X0 @ X1)))) )),
1.04/0.52	  inference(superposition,[],[f557,f530])).
1.04/0.52	thf(f530,plain,(
1.04/0.52	  ( ! [X2 : subst,X1 : term] : (((sub @ one @ (push @ X1 @ X2)) = X1)) )),
1.04/0.52	  inference(equality_proxy_clausification,[],[f529])).
1.04/0.52	thf(f529,plain,(
1.04/0.52	  ( ! [X2 : subst,X1 : term] : ((((sub @ one @ (push @ X1 @ X2)) = X1) = $true)) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f528])).
1.04/0.52	thf(f528,plain,(
1.04/0.52	  ( ! [X2 : subst,X1 : term] : ((((^[Y0 : subst]: ((sub @ one @ (push @ X1 @ Y0)) = X1)) @ X2) = $true)) )),
1.04/0.52	  inference(pi_clausification,[],[f527])).
1.04/0.52	thf(f527,plain,(
1.04/0.52	  ( ! [X1 : term] : (($true = (!! @ subst @ (^[Y0 : subst]: ((sub @ one @ (push @ X1 @ Y0)) = X1))))) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f526])).
1.04/0.52	thf(f526,plain,(
1.04/0.52	  ( ! [X1 : term] : (($true = ((^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0)))) @ X1))) )),
1.04/0.52	  inference(pi_clausification,[],[f525])).
1.04/0.52	thf(f525,plain,(
1.04/0.52	  ($true = (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sub @ one @ (push @ Y0 @ Y1)) = Y0))))))),
1.04/0.52	  inference(binary_proxy_clausification,[],[f523])).
1.04/0.52	thf(f557,plain,(
1.04/0.52	  ( ! [X2 : term,X3 : subst,X1 : subst] : (((sub @ (sK1 @ X3 @ X2) @ X1) = (sK1 @ (comp @ X3 @ X1) @ (sub @ X2 @ X1)))) )),
1.04/0.52	  inference(equality_proxy_clausification,[],[f556])).
1.04/0.52	thf(f556,plain,(
1.04/0.52	  ( ! [X2 : term,X3 : subst,X1 : subst] : (($true = ((sK1 @ (comp @ X3 @ X1) @ (sub @ X2 @ X1)) = (sub @ (sK1 @ X3 @ X2) @ X1)))) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f555])).
1.04/0.52	thf(f555,plain,(
1.04/0.52	  ( ! [X2 : term,X3 : subst,X1 : subst] : (($true = ((^[Y0 : subst]: ((sK1 @ (comp @ Y0 @ X1) @ (sub @ X2 @ X1)) = (sub @ (sK1 @ Y0 @ X2) @ X1))) @ X3))) )),
1.04/0.52	  inference(pi_clausification,[],[f554])).
1.04/0.52	thf(f554,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : subst] : (((!! @ subst @ (^[Y0 : subst]: ((sK1 @ (comp @ Y0 @ X1) @ (sub @ X2 @ X1)) = (sub @ (sK1 @ Y0 @ X2) @ X1)))) = $true)) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f553])).
1.04/0.52	thf(f553,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : subst] : (($true = ((^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sK1 @ (comp @ Y1 @ X1) @ (sub @ Y0 @ X1)) = (sub @ (sK1 @ Y1 @ Y0) @ X1))))) @ X2))) )),
1.04/0.52	  inference(pi_clausification,[],[f552])).
1.04/0.52	thf(f552,plain,(
1.04/0.52	  ( ! [X1 : subst] : (((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sK1 @ (comp @ Y1 @ X1) @ (sub @ Y0 @ X1)) = (sub @ (sK1 @ Y1 @ Y0) @ X1)))))) = $true)) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f551])).
1.04/0.52	thf(f551,plain,(
1.04/0.52	  ( ! [X1 : subst] : ((((^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sK1 @ (comp @ Y2 @ Y0) @ (sub @ Y1 @ Y0)) = (sub @ (sK1 @ Y2 @ Y1) @ Y0))))))) @ X1) = $true)) )),
1.04/0.52	  inference(pi_clausification,[],[f550])).
1.04/0.52	thf(f550,plain,(
1.04/0.52	  ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sK1 @ (comp @ Y2 @ Y0) @ (sub @ Y1 @ Y0)) = (sub @ (sK1 @ Y2 @ Y1) @ Y0)))))))) = $true)),
1.04/0.52	  inference(binary_proxy_clausification,[],[f548])).
1.04/0.52	thf(f548,plain,(
1.04/0.52	  ($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sK1 @ (comp @ Y2 @ Y0) @ (sub @ Y1 @ Y0)) = (sub @ (sK1 @ Y2 @ Y1) @ Y0)))))))) => (!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y1 @ Y3) @ (sub @ Y2 @ Y3)) = (sub @ (Y0 @ Y1 @ Y2) @ Y3)))))))) => (((lam @ (Y0 @ sh @ one)) = (lam @ (sK1 @ sh @ one))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((Y0 @ Y2 @ Y1) = (sK1 @ Y2 @ Y1))))))))))))),
1.04/0.52	  inference(beta_eta_normalization,[],[f547])).
1.04/0.52	thf(f547,plain,(
1.04/0.52	  (((^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1)) = (sub @ (Y0 @ Y3 @ Y2) @ Y1)))))))) => (!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: (!! @ subst @ (^[Y4 : subst]: ((Y1 @ (comp @ Y2 @ Y4) @ (sub @ Y3 @ Y4)) = (sub @ (Y1 @ Y2 @ Y3) @ Y4)))))))) => (((lam @ (Y1 @ sh @ one)) = (lam @ (Y0 @ sh @ one))) => (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y1 @ Y3 @ Y2) = (Y0 @ Y3 @ Y2)))))))))))) @ sK1) = $false)),
1.04/0.52	  inference(sigma_clausification,[],[f538])).
1.04/0.52	thf(f538,plain,(
1.04/0.52	  ($false = (!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1)) = (sub @ (Y0 @ Y3 @ Y2) @ Y1)))))))) => (!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: (!! @ subst @ (^[Y4 : subst]: ((Y1 @ (comp @ Y2 @ Y4) @ (sub @ Y3 @ Y4)) = (sub @ (Y1 @ Y2 @ Y3) @ Y4)))))))) => (((lam @ (Y1 @ sh @ one)) = (lam @ (Y0 @ sh @ one))) => (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y1 @ Y3 @ Y2) = (Y0 @ Y3 @ Y2))))))))))))))),
1.04/0.52	  inference(binary_proxy_clausification,[],[f531])).
1.04/0.52	thf(f531,plain,(
1.04/0.52	  (((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) => (!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1)) = (sub @ (Y0 @ Y3 @ Y2) @ Y1)))))))) => (!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: (!! @ subst @ (^[Y4 : subst]: ((Y1 @ (comp @ Y2 @ Y4) @ (sub @ Y3 @ Y4)) = (sub @ (Y1 @ Y2 @ Y3) @ Y4)))))))) => (((lam @ (Y1 @ sh @ one)) = (lam @ (Y0 @ sh @ one))) => (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y1 @ Y3 @ Y2) = (Y0 @ Y3 @ Y2)))))))))))))) = $false)),
1.04/0.52	  inference(binary_proxy_clausification,[],[f524])).
1.04/0.52	thf(f612,plain,(
1.04/0.52	  ( ! [X0 : term,X1 : subst] : (((sub @ (sK1 @ sh @ one) @ (push @ X0 @ X1)) = (sK2 @ X1 @ X0))) )),
1.04/0.52	  inference(forward_demodulation,[],[f607,f585])).
1.04/0.52	thf(f585,plain,(
1.04/0.52	  ((sK2 @ sh @ one) = (sK1 @ sh @ one))),
1.04/0.52	  inference(equality_resolution,[],[f580])).
1.04/0.52	thf(f580,plain,(
1.04/0.52	  ( ! [X0 : term] : (((lam @ X0) != (lam @ (sK1 @ sh @ one))) | ((sK2 @ sh @ one) = X0)) )),
1.04/0.52	  inference(superposition,[],[f546,f571])).
1.04/0.52	thf(f571,plain,(
1.04/0.52	  ((lam @ (sK2 @ sh @ one)) = (lam @ (sK1 @ sh @ one)))),
1.04/0.52	  inference(equality_proxy_clausification,[],[f570])).
1.04/0.52	thf(f570,plain,(
1.04/0.52	  ($true = ((lam @ (sK2 @ sh @ one)) = (lam @ (sK1 @ sh @ one))))),
1.04/0.52	  inference(binary_proxy_clausification,[],[f560])).
1.04/0.52	thf(f560,plain,(
1.04/0.52	  ((((lam @ (sK2 @ sh @ one)) = (lam @ (sK1 @ sh @ one))) => (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sK2 @ Y1 @ Y0) = (sK1 @ Y1 @ Y0))))))) = $false)),
1.04/0.52	  inference(binary_proxy_clausification,[],[f559])).
1.04/0.52	thf(f559,plain,(
1.04/0.52	  ($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sK2 @ (comp @ Y0 @ Y2) @ (sub @ Y1 @ Y2)) = (sub @ (sK2 @ Y0 @ Y1) @ Y2)))))))) => (((lam @ (sK2 @ sh @ one)) = (lam @ (sK1 @ sh @ one))) => (!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sK2 @ Y1 @ Y0) = (sK1 @ Y1 @ Y0)))))))))),
1.04/0.52	  inference(beta_eta_normalization,[],[f558])).
1.04/0.52	thf(f558,plain,(
1.04/0.52	  ($false = ((^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y1 @ Y3) @ (sub @ Y2 @ Y3)) = (sub @ (Y0 @ Y1 @ Y2) @ Y3)))))))) => (((lam @ (Y0 @ sh @ one)) = (lam @ (sK1 @ sh @ one))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((Y0 @ Y2 @ Y1) = (sK1 @ Y2 @ Y1))))))))) @ sK2))),
1.04/0.52	  inference(sigma_clausification,[],[f549])).
1.04/0.52	thf(f549,plain,(
1.04/0.52	  ((!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: ((Y0 @ (comp @ Y1 @ Y3) @ (sub @ Y2 @ Y3)) = (sub @ (Y0 @ Y1 @ Y2) @ Y3)))))))) => (((lam @ (Y0 @ sh @ one)) = (lam @ (sK1 @ sh @ one))) => (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((Y0 @ Y2 @ Y1) = (sK1 @ Y2 @ Y1)))))))))) = $false)),
1.04/0.52	  inference(binary_proxy_clausification,[],[f548])).
1.04/0.52	thf(f546,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : term] : (((lam @ X1) != (lam @ X2)) | (X1 = X2)) )),
1.04/0.52	  inference(equality_proxy_clausification,[],[f545])).
1.04/0.52	thf(f545,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : term] : (((X2 = X1) = $true) | ((lam @ X1) != (lam @ X2))) )),
1.04/0.52	  inference(equality_proxy_clausification,[],[f544])).
1.04/0.52	thf(f544,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : term] : (($false = ((lam @ X2) = (lam @ X1))) | ((X2 = X1) = $true)) )),
1.04/0.52	  inference(binary_proxy_clausification,[],[f543])).
1.04/0.52	thf(f543,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : term] : (((((lam @ X2) = (lam @ X1)) => (X2 = X1)) = $true)) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f542])).
1.04/0.52	thf(f542,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : term] : ((((^[Y0 : term]: (((lam @ Y0) = (lam @ X1)) => (Y0 = X1))) @ X2) = $true)) )),
1.04/0.52	  inference(pi_clausification,[],[f541])).
1.04/0.52	thf(f541,plain,(
1.04/0.52	  ( ! [X1 : term] : (($true = (!! @ term @ (^[Y0 : term]: (((lam @ Y0) = (lam @ X1)) => (Y0 = X1)))))) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f540])).
1.04/0.52	thf(f540,plain,(
1.04/0.52	  ( ! [X1 : term] : (($true = ((^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0))))) @ X1))) )),
1.04/0.52	  inference(pi_clausification,[],[f539])).
1.04/0.52	thf(f539,plain,(
1.04/0.52	  ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: (((lam @ Y1) = (lam @ Y0)) => (Y1 = Y0)))))) = $true)),
1.04/0.52	  inference(binary_proxy_clausification,[],[f531])).
1.04/0.52	thf(f607,plain,(
1.04/0.52	  ( ! [X0 : term,X1 : subst] : (((sK2 @ X1 @ X0) = (sub @ (sK2 @ sh @ one) @ (push @ X0 @ X1)))) )),
1.04/0.52	  inference(superposition,[],[f582,f537])).
1.04/0.52	thf(f582,plain,(
1.04/0.52	  ( ! [X2 : subst,X0 : term,X1 : subst] : (((sK2 @ (comp @ X2 @ (push @ X0 @ X1)) @ X0) = (sub @ (sK2 @ X2 @ one) @ (push @ X0 @ X1)))) )),
1.04/0.52	  inference(superposition,[],[f568,f530])).
1.04/0.52	thf(f568,plain,(
1.04/0.52	  ( ! [X2 : term,X3 : subst,X1 : subst] : (((sK2 @ (comp @ X1 @ X3) @ (sub @ X2 @ X3)) = (sub @ (sK2 @ X1 @ X2) @ X3))) )),
1.04/0.52	  inference(equality_proxy_clausification,[],[f567])).
1.04/0.52	thf(f567,plain,(
1.04/0.52	  ( ! [X2 : term,X3 : subst,X1 : subst] : (($true = ((sK2 @ (comp @ X1 @ X3) @ (sub @ X2 @ X3)) = (sub @ (sK2 @ X1 @ X2) @ X3)))) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f566])).
1.04/0.52	thf(f566,plain,(
1.04/0.52	  ( ! [X2 : term,X3 : subst,X1 : subst] : (($true = ((^[Y0 : subst]: ((sK2 @ (comp @ X1 @ Y0) @ (sub @ X2 @ Y0)) = (sub @ (sK2 @ X1 @ X2) @ Y0))) @ X3))) )),
1.04/0.52	  inference(pi_clausification,[],[f565])).
1.04/0.52	thf(f565,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : subst] : (($true = (!! @ subst @ (^[Y0 : subst]: ((sK2 @ (comp @ X1 @ Y0) @ (sub @ X2 @ Y0)) = (sub @ (sK2 @ X1 @ X2) @ Y0)))))) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f564])).
1.04/0.52	thf(f564,plain,(
1.04/0.52	  ( ! [X2 : term,X1 : subst] : (($true = ((^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sK2 @ (comp @ X1 @ Y1) @ (sub @ Y0 @ Y1)) = (sub @ (sK2 @ X1 @ Y0) @ Y1))))) @ X2))) )),
1.04/0.52	  inference(pi_clausification,[],[f563])).
1.04/0.52	thf(f563,plain,(
1.04/0.52	  ( ! [X1 : subst] : (((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sK2 @ (comp @ X1 @ Y1) @ (sub @ Y0 @ Y1)) = (sub @ (sK2 @ X1 @ Y0) @ Y1)))))) = $true)) )),
1.04/0.52	  inference(beta_eta_normalization,[],[f562])).
1.04/0.52	thf(f562,plain,(
1.04/0.52	  ( ! [X1 : subst] : (($true = ((^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sK2 @ (comp @ Y0 @ Y2) @ (sub @ Y1 @ Y2)) = (sub @ (sK2 @ Y0 @ Y1) @ Y2))))))) @ X1))) )),
1.04/0.52	  inference(pi_clausification,[],[f561])).
1.04/0.52	thf(f561,plain,(
1.04/0.52	  ($true = (!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: ((sK2 @ (comp @ Y0 @ Y2) @ (sub @ Y1 @ Y2)) = (sub @ (sK2 @ Y0 @ Y1) @ Y2)))))))))),
1.04/0.52	  inference(binary_proxy_clausification,[],[f559])).
1.04/0.52	thf(f576,plain,(
1.04/0.52	  ((sK2 @ sK4 @ sK3) != (sK1 @ sK4 @ sK3))),
1.04/0.52	  inference(equality_proxy_clausification,[],[f575])).
1.04/0.52	thf(f575,plain,(
1.04/0.52	  ($false = ((sK2 @ sK4 @ sK3) = (sK1 @ sK4 @ sK3)))),
1.04/0.52	  inference(beta_eta_normalization,[],[f574])).
1.04/0.52	thf(f574,plain,(
1.04/0.52	  (((^[Y0 : subst]: ((sK2 @ Y0 @ sK3) = (sK1 @ Y0 @ sK3))) @ sK4) = $false)),
1.04/0.52	  inference(sigma_clausification,[],[f573])).
1.04/0.52	thf(f573,plain,(
1.04/0.52	  ((!! @ subst @ (^[Y0 : subst]: ((sK2 @ Y0 @ sK3) = (sK1 @ Y0 @ sK3)))) = $false)),
1.04/0.52	  inference(beta_eta_normalization,[],[f572])).
1.04/0.52	thf(f572,plain,(
1.04/0.52	  (((^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sK2 @ Y1 @ Y0) = (sK1 @ Y1 @ Y0))))) @ sK3) = $false)),
1.04/0.52	  inference(sigma_clausification,[],[f569])).
1.04/0.52	thf(f569,plain,(
1.04/0.52	  ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((sK2 @ Y1 @ Y0) = (sK1 @ Y1 @ Y0)))))) = $false)),
1.04/0.52	  inference(binary_proxy_clausification,[],[f560])).
1.04/0.52	% SZS output end Proof for Vampire---4
1.04/0.52	% (21754)------------------------------
1.04/0.52	% (21754)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.04/0.52	% (21754)Termination reason: Refutation
1.04/0.52	
1.04/0.52	% (21754)Memory used [KB]: 6780
1.04/0.52	% (21754)Time elapsed: 0.081 s
1.04/0.52	% (21754)Instructions burned: 117 (million)
1.04/0.52	% (21754)------------------------------
1.04/0.52	% (21754)------------------------------
1.04/0.52	% (21731)Success in time 0.132 s
1.04/0.52	% Vampire---4.8 exiting
1.04/0.53	EOF