TSTP Solution File: ITP107^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP107^2 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% 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
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:33:40 EDT 2024
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP107^2 : TPTP v8.2.0. Released v7.5.0.
% 0.10/0.14 % 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
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 18:33:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH1_THM_EQU_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % (16617)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.39 % (16618)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.39 % (16620)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (16619)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.39 % (16622)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 (2999ds/275Mi)
% 0.13/0.39 % (16623)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.39 % (16620)Instruction limit reached!
% 0.13/0.39 % (16620)------------------------------
% 0.13/0.39 % (16620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (16620)Termination reason: Unknown
% 0.13/0.39 % (16620)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (16620)Memory used [KB]: 1279
% 0.13/0.39 % (16620)Time elapsed: 0.003 s
% 0.13/0.39 % (16620)Instructions burned: 2 (million)
% 0.13/0.39 % (16620)------------------------------
% 0.13/0.39 % (16620)------------------------------
% 0.13/0.39 % (16618)Instruction limit reached!
% 0.13/0.39 % (16618)------------------------------
% 0.13/0.39 % (16618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (16618)Termination reason: Unknown
% 0.13/0.39 % (16618)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (16618)Memory used [KB]: 1407
% 0.13/0.39 % (16618)Time elapsed: 0.004 s
% 0.13/0.39 % (16618)Instructions burned: 4 (million)
% 0.13/0.39 % (16618)------------------------------
% 0.13/0.39 % (16618)------------------------------
% 0.13/0.39 % (16621)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (16621)Instruction limit reached!
% 0.13/0.39 % (16621)------------------------------
% 0.13/0.39 % (16621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (16621)Termination reason: Unknown
% 0.13/0.39 % (16621)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (16621)Memory used [KB]: 1279
% 0.13/0.39 % (16621)Time elapsed: 0.004 s
% 0.13/0.39 % (16621)Instructions burned: 2 (million)
% 0.13/0.39 % (16621)------------------------------
% 0.13/0.39 % (16621)------------------------------
% 0.13/0.40 % (16623)Instruction limit reached!
% 0.13/0.40 % (16623)------------------------------
% 0.13/0.40 % (16623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (16623)Termination reason: Unknown
% 0.13/0.40 % (16623)Termination phase: shuffling
% 0.13/0.40
% 0.13/0.40 % (16623)Memory used [KB]: 1535
% 0.13/0.40 % (16623)Time elapsed: 0.014 s
% 0.13/0.40 % (16623)Instructions burned: 18 (million)
% 0.13/0.40 % (16623)------------------------------
% 0.13/0.40 % (16623)------------------------------
% 0.13/0.40 % (16624)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.40 % (16624)Instruction limit reached!
% 0.20/0.40 % (16624)------------------------------
% 0.20/0.40 % (16624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (16624)Termination reason: Unknown
% 0.20/0.40 % (16624)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (16624)Memory used [KB]: 1407
% 0.20/0.40 % (16624)Time elapsed: 0.004 s
% 0.20/0.40 % (16624)Instructions burned: 3 (million)
% 0.20/0.40 % (16626)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.40 % (16624)------------------------------
% 0.20/0.40 % (16624)------------------------------
% 0.20/0.41 % (16625)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.41 % (16619)Instruction limit reached!
% 0.20/0.41 % (16619)------------------------------
% 0.20/0.41 % (16619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (16619)Termination reason: Unknown
% 0.20/0.41 % (16619)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (16619)Memory used [KB]: 1663
% 0.20/0.41 % (16619)Time elapsed: 0.020 s
% 0.20/0.41 % (16619)Instructions burned: 28 (million)
% 0.20/0.41 % (16619)------------------------------
% 0.20/0.41 % (16619)------------------------------
% 0.20/0.41 % (16627)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41 % (16626)Instruction limit reached!
% 0.20/0.41 % (16626)------------------------------
% 0.20/0.41 % (16626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (16626)Termination reason: Unknown
% 0.20/0.41 % (16626)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (16626)Memory used [KB]: 1535
% 0.20/0.41 % (16626)Time elapsed: 0.009 s
% 0.20/0.41 % (16626)Instructions burned: 16 (million)
% 0.20/0.41 % (16626)------------------------------
% 0.20/0.41 % (16626)------------------------------
% 0.20/0.41 % (16627)Instruction limit reached!
% 0.20/0.41 % (16627)------------------------------
% 0.20/0.41 % (16627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (16627)Termination reason: Unknown
% 0.20/0.41 % (16627)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (16627)Memory used [KB]: 1407
% 0.20/0.41 % (16627)Time elapsed: 0.004 s
% 0.20/0.41 % (16627)Instructions burned: 3 (million)
% 0.20/0.41 % (16627)------------------------------
% 0.20/0.41 % (16627)------------------------------
% 0.20/0.42 % (16628)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)
% 0.20/0.42 % (16629)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.42 % (16630)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.42 % (16629)Instruction limit reached!
% 0.20/0.42 % (16629)------------------------------
% 0.20/0.42 % (16629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (16629)Termination reason: Unknown
% 0.20/0.42 % (16629)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (16629)Memory used [KB]: 1407
% 0.20/0.42 % (16629)Time elapsed: 0.007 s
% 0.20/0.42 % (16629)Instructions burned: 8 (million)
% 0.20/0.42 % (16629)------------------------------
% 0.20/0.42 % (16629)------------------------------
% 0.20/0.42 % (16625)Instruction limit reached!
% 0.20/0.42 % (16625)------------------------------
% 0.20/0.42 % (16625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (16625)Termination reason: Unknown
% 0.20/0.42 % (16625)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (16625)Memory used [KB]: 2046
% 0.20/0.42 % (16625)Time elapsed: 0.021 s
% 0.20/0.42 % (16625)Instructions burned: 37 (million)
% 0.20/0.42 % (16625)------------------------------
% 0.20/0.42 % (16625)------------------------------
% 0.20/0.43 % (16631)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (16631)Instruction limit reached!
% 0.20/0.43 % (16631)------------------------------
% 0.20/0.43 % (16631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (16631)Termination reason: Unknown
% 0.20/0.43 % (16631)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (16631)Memory used [KB]: 1407
% 0.20/0.43 % (16631)Time elapsed: 0.003 s
% 0.20/0.43 % (16631)Instructions burned: 4 (million)
% 0.20/0.43 % (16631)------------------------------
% 0.20/0.43 % (16631)------------------------------
% 0.20/0.43 % (16632)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43 % (16630)Instruction limit reached!
% 0.20/0.43 % (16630)------------------------------
% 0.20/0.43 % (16630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (16630)Termination reason: Unknown
% 0.20/0.43 % (16630)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (16630)Memory used [KB]: 1535
% 0.20/0.43 % (16630)Time elapsed: 0.012 s
% 0.20/0.43 % (16630)Instructions burned: 16 (million)
% 0.20/0.43 % (16630)------------------------------
% 0.20/0.43 % (16630)------------------------------
% 0.20/0.43 % (16632)Instruction limit reached!
% 0.20/0.43 % (16632)------------------------------
% 0.20/0.43 % (16632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (16632)Termination reason: Unknown
% 0.20/0.43 % (16632)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (16632)Memory used [KB]: 1407
% 0.20/0.43 % (16632)Time elapsed: 0.004 s
% 0.20/0.43 % (16632)Instructions burned: 3 (million)
% 0.20/0.43 % (16632)------------------------------
% 0.20/0.43 % (16632)------------------------------
% 0.20/0.44 % (16633)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.44 % (16634)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.44 % (16634)Instruction limit reached!
% 0.20/0.44 % (16634)------------------------------
% 0.20/0.44 % (16634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (16634)Termination reason: Unknown
% 0.20/0.44 % (16634)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (16634)Memory used [KB]: 1407
% 0.20/0.44 % (16634)Time elapsed: 0.004 s
% 0.20/0.44 % (16634)Instructions burned: 4 (million)
% 0.20/0.44 % (16634)------------------------------
% 0.20/0.44 % (16634)------------------------------
% 0.20/0.44 % (16633)Instruction limit reached!
% 0.20/0.44 % (16633)------------------------------
% 0.20/0.44 % (16633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (16633)Termination reason: Unknown
% 0.20/0.44 % (16633)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (16633)Memory used [KB]: 1407
% 0.20/0.44 % (16633)Time elapsed: 0.006 s
% 0.20/0.44 % (16633)Instructions burned: 7 (million)
% 0.20/0.44 % (16633)------------------------------
% 0.20/0.44 % (16633)------------------------------
% 0.20/0.44 % (16635)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.45 % (16635)Instruction limit reached!
% 0.20/0.45 % (16635)------------------------------
% 0.20/0.45 % (16635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (16635)Termination reason: Unknown
% 0.20/0.45 % (16635)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (16635)Memory used [KB]: 1407
% 0.20/0.45 % (16635)Time elapsed: 0.003 s
% 0.20/0.45 % (16635)Instructions burned: 4 (million)
% 0.20/0.45 % (16635)------------------------------
% 0.20/0.45 % (16635)------------------------------
% 0.20/0.45 % (16622)First to succeed.
% 0.20/0.45 % (16637)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.45 % (16622)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Theorem for theBenchmark
% 0.20/0.45 % SZS output start Proof for theBenchmark
% 0.20/0.45 thf(type_def_5, type, ring_ext: ($tType * $tType) > $tType).
% 0.20/0.45 thf(type_def_6, type, monoid_ext: ($tType * $tType) > $tType).
% 0.20/0.45 thf(type_def_7, type, partia1265057091ct_ext: ($tType * $tType) > $tType).
% 0.20/0.45 thf(type_def_8, type, set: ($tType) > $tType).
% 0.20/0.45 thf(type_def_10, type, eq_eq_object_ext: ($tType * $tType) > $tType).
% 0.20/0.45 thf(type_def_11, type, product_unit: $tType).
% 0.20/0.45 thf(type_def_12, type, product_prod: ($tType * $tType) > $tType).
% 0.20/0.45 thf(type_def_13, type, a: $tType).
% 0.20/0.45 thf(type_def_14, type, b: $tType).
% 0.20/0.45 thf(type_def_15, type, int: $tType).
% 0.20/0.45 thf(type_def_16, type, nat: $tType).
% 0.20/0.45 thf(func_def_0, type, partia1265057091ct_ext: ($tType * $tType) > $tType).
% 0.20/0.45 thf(func_def_1, type, eq_eq_object_ext: ($tType * $tType) > $tType).
% 0.20/0.45 thf(func_def_2, type, monoid_ext: ($tType * $tType) > $tType).
% 0.20/0.45 thf(func_def_3, type, ring_ext: ($tType * $tType) > $tType).
% 0.20/0.45 thf(func_def_4, type, product_unit: $tType).
% 0.20/0.45 thf(func_def_5, type, product_prod: ($tType * $tType) > $tType).
% 0.20/0.45 thf(func_def_6, type, set: ($tType) > $tType).
% 0.20/0.45 thf(func_def_7, type, nat: $tType).
% 0.20/0.45 thf(func_def_8, type, int: $tType).
% 0.20/0.45 thf(func_def_9, type, b: $tType).
% 0.20/0.45 thf(func_def_10, type, a: $tType).
% 0.20/0.45 thf(func_def_11, type, a_RCOSETS: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > set @ set @ X0)).
% 0.20/0.45 thf(func_def_12, type, a_l_coset: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > set @ X0 > set @ X0)).
% 0.20/0.45 thf(func_def_13, type, a_r_coset: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > X0 > set @ X0)).
% 0.20/0.45 thf(func_def_14, type, additive_subgroup: !>[X0: $tType, X1: $tType]:(set @ X0 > partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > $o)).
% 0.20/0.45 thf(func_def_15, type, set_add: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > set @ X0 > set @ X0)).
% 0.20/0.45 thf(func_def_16, type, equivalence: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ eq_eq_object_ext @ X0 @ X1 > $o)).
% 0.20/0.45 thf(func_def_17, type, partial_carrier: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ X1 > set @ X0)).
% 0.20/0.45 thf(func_def_18, type, units: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > set @ X0)).
% 0.20/0.45 thf(func_def_19, type, group: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > $o)).
% 0.20/0.45 thf(func_def_20, type, monoid: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > $o)).
% 0.20/0.45 thf(func_def_21, type, mult: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > X0 > X0 > X0)).
% 0.20/0.45 thf(func_def_22, type, one: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > X0)).
% 0.20/0.45 thf(func_def_23, type, units_of: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ product_unit)).
% 0.20/0.45 thf(func_def_24, type, minus_minus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.20/0.45 thf(func_def_25, type, locali1641774487f_frac: !>[X0: $tType, X1: $tType, X2: $tType]:(partia1265057091ct_ext @ product_prod @ X0 @ X1 @ eq_eq_object_ext @ product_prod @ X0 @ X1 @ X2 > X0 > X1 > set @ product_prod @ X0 @ X1)).
% 0.20/0.45 thf(func_def_26, type, locali1648044335f_frac: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o)).
% 0.20/0.45 thf(func_def_27, type, locali1768110497f_frac: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > partia1265057091ct_ext @ set @ product_prod @ X0 @ X0 @ monoid_ext @ set @ product_prod @ X0 @ X0 @ product_unit)).
% 0.20/0.45 thf(func_def_28, type, locali7914339f_crng: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o)).
% 0.20/0.45 thf(func_def_29, type, locali1402578320of_rng: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o)).
% 0.20/0.45 thf(func_def_30, type, locali990921413f_frac: !>[X0: $tType, X1: $tType, X2: $tType]:(partia1265057091ct_ext @ product_prod @ X0 @ X1 @ eq_eq_object_ext @ product_prod @ X0 @ X1 @ X2 > set @ set @ product_prod @ X0 @ X1)).
% 0.20/0.45 thf(func_def_31, type, locali1441642228monoid: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ X1 > set @ X0 > $o)).
% 0.20/0.45 thf(func_def_32, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.20/0.45 thf(func_def_33, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.20/0.45 thf(func_def_34, type, product_Pair: !>[X0: $tType, X1: $tType]:(X0 > X1 > product_prod @ X0 @ X1)).
% 0.20/0.45 thf(func_def_35, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.20/0.45 thf(func_def_36, type, abelian_monoid: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > $o)).
% 0.20/0.45 thf(func_def_37, type, add_pow: !>[X0: $tType, X1: $tType, X2: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X2 > X0 > X0)).
% 0.20/0.45 thf(func_def_38, type, field: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > $o)).
% 0.20/0.45 thf(func_def_39, type, ring: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > $o)).
% 0.20/0.45 thf(func_def_40, type, zero: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > X0)).
% 0.20/0.45 thf(func_def_41, type, semiring: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X0 @ monoid_ext @ X0 @ ring_ext @ X0 @ X1 > $o)).
% 0.20/0.45 thf(func_def_42, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.20/0.45 thf(func_def_43, type, pow: !>[X0: $tType]:(set @ X0 > set @ set @ X0)).
% 0.20/0.45 thf(func_def_44, type, insert: !>[X0: $tType]:(X0 > set @ X0 > set @ X0)).
% 0.20/0.45 thf(func_def_45, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.20/0.45 thf(func_def_46, type, r: partia1265057091ct_ext @ a @ monoid_ext @ a @ ring_ext @ a @ b).
% 0.20/0.45 thf(func_def_47, type, s: set @ a).
% 0.20/0.45 thf(func_def_48, type, r2: a).
% 0.20/0.45 thf(func_def_49, type, r3: a).
% 0.20/0.45 thf(func_def_50, type, rel: partia1265057091ct_ext @ product_prod @ a @ a @ eq_eq_object_ext @ product_prod @ a @ a @ product_unit).
% 0.20/0.45 thf(func_def_51, type, s2: a).
% 0.20/0.45 thf(func_def_52, type, s3: a).
% 0.20/0.45 thf(func_def_65, type, sP0: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > $o)).
% 0.20/0.45 thf(func_def_66, type, sP1: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > $o)).
% 0.20/0.45 thf(func_def_67, type, sP2: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > $o)).
% 0.20/0.45 thf(func_def_68, type, sP3: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > $o)).
% 0.20/0.45 thf(func_def_69, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0)).
% 0.20/0.45 thf(func_def_70, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1)).
% 0.20/0.45 thf(func_def_71, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2)).
% 0.20/0.45 thf(func_def_72, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3)).
% 0.20/0.45 thf(func_def_73, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4)).
% 0.20/0.45 thf(func_def_74, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5)).
% 0.20/0.45 thf(func_def_75, type, sK10: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 0.20/0.45 thf(func_def_76, type, sK11: a > a).
% 0.20/0.45 thf(func_def_77, type, sK12: !>[X0: $tType]:(set @ X0 > X0)).
% 0.20/0.45 thf(func_def_78, type, sK13: !>[X0: $tType]:(set @ X0 > X0)).
% 0.20/0.45 thf(func_def_79, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 0.20/0.45 thf(func_def_80, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.20/0.45 thf(func_def_81, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.20/0.45 thf(func_def_82, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.20/0.45 thf(func_def_83, type, sK18: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.20/0.45 thf(func_def_84, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.20/0.45 thf(func_def_85, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.20/0.45 thf(func_def_86, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.20/0.45 thf(func_def_87, type, sK22: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_88, type, sK23: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_89, type, sK24: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_90, type, sK25: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_91, type, sK26: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_92, type, sK27: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_93, type, sK28: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_94, type, sK29: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.20/0.45 thf(func_def_95, type, sK30: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.20/0.45 thf(func_def_96, type, sK31: !>[X0: $tType]:(set @ X0 > X0)).
% 0.20/0.45 thf(func_def_97, type, sK32: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_98, type, sK33: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_99, type, sK34: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_100, type, sK35: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_101, type, sK36: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_102, type, sK37: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_103, type, sK38: !>[X0: $tType, X1: $tType]:(partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_104, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5)).
% 0.20/0.45 thf(func_def_105, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 0.20/0.45 thf(func_def_106, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 0.20/0.45 thf(func_def_107, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.20/0.45 thf(func_def_108, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.20/0.45 thf(func_def_109, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.20/0.45 thf(func_def_110, type, sK45: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 0.20/0.45 thf(func_def_111, type, sK46: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 0.20/0.45 thf(func_def_112, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X0)).
% 0.20/0.45 thf(func_def_113, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X1)).
% 0.20/0.45 thf(func_def_114, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X2)).
% 0.20/0.45 thf(func_def_115, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X3)).
% 0.20/0.45 thf(func_def_116, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X4)).
% 0.20/0.45 thf(func_def_117, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X5)).
% 0.20/0.45 thf(func_def_118, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X6)).
% 0.20/0.45 thf(func_def_119, type, sK54: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 0.20/0.45 thf(func_def_120, type, sK55: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 0.20/0.45 thf(func_def_121, type, sK56: !>[X0: $tType, X1: $tType]:(X1 > partia1265057091ct_ext @ X1 @ monoid_ext @ X1 @ X0 > X1)).
% 0.20/0.45 thf(func_def_122, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X0)).
% 0.20/0.45 thf(func_def_123, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X1)).
% 0.20/0.45 thf(func_def_124, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X2)).
% 0.20/0.45 thf(func_def_125, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0)).
% 0.20/0.45 thf(func_def_126, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1)).
% 0.20/0.45 thf(func_def_127, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2)).
% 0.20/0.45 thf(func_def_128, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3)).
% 0.20/0.45 thf(func_def_129, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0)).
% 0.20/0.45 thf(func_def_130, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1)).
% 0.20/0.45 thf(func_def_131, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2)).
% 0.20/0.45 thf(func_def_132, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3)).
% 0.20/0.45 thf(func_def_133, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4)).
% 0.20/0.45 thf(func_def_134, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6)).
% 0.20/0.45 thf(func_def_135, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5)).
% 0.20/0.45 thf(func_def_136, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 0.20/0.45 thf(func_def_137, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 0.20/0.45 thf(func_def_138, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.20/0.45 thf(func_def_139, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.20/0.45 thf(func_def_140, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.20/0.45 thf(func_def_141, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 0.20/0.45 thf(func_def_142, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 0.20/0.45 thf(func_def_143, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.20/0.45 thf(func_def_144, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.20/0.45 thf(func_def_145, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.20/0.45 thf(func_def_146, type, sK81: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.20/0.45 thf(func_def_147, type, sK82: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.20/0.45 thf(func_def_149, type, ph84: !>[X0: $tType]:(X0)).
% 0.20/0.45 thf(f1059,plain,(
% 0.20/0.45 $false),
% 0.20/0.45 inference(subsumption_resolution,[],[f1058,f1003])).
% 0.20/0.45 thf(f1003,plain,(
% 0.20/0.45 ((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3)) = (locali1641774487f_frac @ a @ a @ product_unit @ rel @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)))),
% 0.20/0.45 inference(cnf_transformation,[],[f4])).
% 0.20/0.45 thf(f4,axiom,(
% 0.20/0.45 ((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3)) = (locali1641774487f_frac @ a @ a @ product_unit @ rel @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_f1)).
% 0.20/0.45 thf(f1058,plain,(
% 0.20/0.45 ((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3)) != (locali1641774487f_frac @ a @ a @ product_unit @ rel @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r3) @ (mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3)))),
% 0.20/0.45 inference(forward_demodulation,[],[f1057,f982])).
% 0.20/0.45 thf(f982,plain,(
% 0.20/0.45 ((mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3) = (mult @ a @ ring_ext @ a @ b @ r @ s3 @ s2))),
% 0.20/0.45 inference(cnf_transformation,[],[f2])).
% 0.20/0.45 thf(f2,axiom,(
% 0.20/0.45 ((mult @ a @ ring_ext @ a @ b @ r @ s2 @ s3) = (mult @ a @ ring_ext @ a @ b @ r @ s3 @ s2))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_f4)).
% 0.20/0.45 thf(f1057,plain,(
% 0.20/0.45 ((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3)) != (locali1641774487f_frac @ a @ a @ product_unit @ rel @ (mult @ a @ ring_ext @ a @ b @ r @ r2 @ r3) @ (mult @ a @ ring_ext @ a @ b @ r @ s3 @ s2)))),
% 0.20/0.45 inference(forward_demodulation,[],[f1056,f997])).
% 0.20/0.45 thf(f997,plain,(
% 0.20/0.45 ((mult @ a @ ring_ext @ a @ b @ r @ r2 @ r3) = (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r2))),
% 0.20/0.45 inference(cnf_transformation,[],[f1])).
% 0.20/0.45 thf(f1,axiom,(
% 0.20/0.45 ((mult @ a @ ring_ext @ a @ b @ r @ r2 @ r3) = (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r2))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_f3)).
% 0.20/0.45 thf(f1056,plain,(
% 0.20/0.45 ((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3)) != (locali1641774487f_frac @ a @ a @ product_unit @ rel @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r2) @ (mult @ a @ ring_ext @ a @ b @ r @ s3 @ s2)))),
% 0.20/0.45 inference(forward_demodulation,[],[f943,f994])).
% 0.20/0.45 thf(f994,plain,(
% 0.20/0.45 ((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2)) = (locali1641774487f_frac @ a @ a @ product_unit @ rel @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r2) @ (mult @ a @ ring_ext @ a @ b @ r @ s3 @ s2)))),
% 0.20/0.45 inference(cnf_transformation,[],[f5])).
% 0.20/0.45 thf(f5,axiom,(
% 0.20/0.45 ((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2)) = (locali1641774487f_frac @ a @ a @ product_unit @ rel @ (mult @ a @ ring_ext @ a @ b @ r @ r3 @ r2) @ (mult @ a @ ring_ext @ a @ b @ r @ s3 @ s2)))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_f2)).
% 0.20/0.45 thf(f943,plain,(
% 0.20/0.45 ((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3)) != (mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2)))),
% 0.20/0.45 inference(cnf_transformation,[],[f694])).
% 0.20/0.45 thf(f694,plain,(
% 0.20/0.45 ((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3)) != (mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2)))),
% 0.20/0.45 inference(flattening,[],[f258])).
% 0.20/0.45 thf(f258,negated_conjecture,(
% 0.20/0.45 ~((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3)) = (mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2)))),
% 0.20/0.45 inference(negated_conjecture,[],[f257])).
% 0.20/0.45 thf(f257,conjecture,(
% 0.20/0.45 ((mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3)) = (mult @ set @ product_prod @ a @ a @ product_unit @ (locali1768110497f_frac @ a @ b @ r @ s) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r3 @ s3) @ (locali1641774487f_frac @ a @ a @ product_unit @ rel @ r2 @ s2)))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.20/0.45 % SZS output end Proof for theBenchmark
% 0.20/0.45 % (16622)------------------------------
% 0.20/0.45 % (16622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (16622)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (16622)Memory used [KB]: 6908
% 0.20/0.45 % (16622)Time elapsed: 0.060 s
% 0.20/0.45 % (16622)Instructions burned: 95 (million)
% 0.20/0.45 % (16622)------------------------------
% 0.20/0.45 % (16622)------------------------------
% 0.20/0.45 % (16616)Success in time 0.102 s
% 0.20/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------