TSTP Solution File: ITP071^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP071^2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 22:33:21 EDT 2024
% Result : Theorem 0.17s 0.42s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : ITP071^2 : TPTP v8.2.0. Released v7.5.0.
% 0.08/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat May 18 17:59:37 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a TH1_THM_EQU_NAR problem
% 0.11/0.31 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/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % (10503)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)
% 0.17/0.35 % (10501)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.17/0.35 % (10502)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)
% 0.17/0.35 % (10504)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.35 % (10505)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)
% 0.17/0.35 % (10506)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)
% 0.17/0.35 % (10507)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.35 % (10508)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)
% 0.17/0.35 % (10504)Instruction limit reached!
% 0.17/0.35 % (10504)------------------------------
% 0.17/0.35 % (10504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (10504)Termination reason: Unknown
% 0.17/0.35 % (10504)Termination phase: shuffling
% 0.17/0.35
% 0.17/0.35 % (10504)Memory used [KB]: 1407
% 0.17/0.35 % (10505)Instruction limit reached!
% 0.17/0.35 % (10505)------------------------------
% 0.17/0.35 % (10505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (10505)Termination reason: Unknown
% 0.17/0.35 % (10505)Termination phase: shuffling
% 0.17/0.35
% 0.17/0.35 % (10505)Memory used [KB]: 1407
% 0.17/0.35 % (10505)Time elapsed: 0.004 s
% 0.17/0.35 % (10505)Instructions burned: 3 (million)
% 0.17/0.35 % (10505)------------------------------
% 0.17/0.35 % (10505)------------------------------
% 0.17/0.35 % (10504)Time elapsed: 0.004 s
% 0.17/0.35 % (10504)Instructions burned: 3 (million)
% 0.17/0.35 % (10504)------------------------------
% 0.17/0.35 % (10504)------------------------------
% 0.17/0.35 % (10508)Instruction limit reached!
% 0.17/0.35 % (10508)------------------------------
% 0.17/0.35 % (10508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (10508)Termination reason: Unknown
% 0.17/0.35 % (10508)Termination phase: shuffling
% 0.17/0.35
% 0.17/0.35 % (10508)Memory used [KB]: 1407
% 0.17/0.35 % (10508)Time elapsed: 0.004 s
% 0.17/0.35 % (10508)Instructions burned: 3 (million)
% 0.17/0.35 % (10508)------------------------------
% 0.17/0.35 % (10508)------------------------------
% 0.17/0.36 % (10502)Instruction limit reached!
% 0.17/0.36 % (10502)------------------------------
% 0.17/0.36 % (10502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (10502)Termination reason: Unknown
% 0.17/0.36 % (10502)Termination phase: shuffling
% 0.17/0.36
% 0.17/0.36 % (10502)Memory used [KB]: 1535
% 0.17/0.36 % (10502)Time elapsed: 0.005 s
% 0.17/0.36 % (10502)Instructions burned: 5 (million)
% 0.17/0.36 % (10502)------------------------------
% 0.17/0.36 % (10502)------------------------------
% 0.17/0.36 % (10507)Instruction limit reached!
% 0.17/0.36 % (10507)------------------------------
% 0.17/0.36 % (10507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (10507)Termination reason: Unknown
% 0.17/0.36 % (10507)Termination phase: shuffling
% 0.17/0.36
% 0.17/0.36 % (10507)Memory used [KB]: 1791
% 0.17/0.36 % (10507)Time elapsed: 0.014 s
% 0.17/0.36 % (10507)Instructions burned: 18 (million)
% 0.17/0.36 % (10507)------------------------------
% 0.17/0.36 % (10507)------------------------------
% 0.17/0.37 % (10503)Instruction limit reached!
% 0.17/0.37 % (10503)------------------------------
% 0.17/0.37 % (10503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (10503)Termination reason: Unknown
% 0.17/0.37 % (10503)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (10503)Memory used [KB]: 2046
% 0.17/0.37 % (10503)Time elapsed: 0.015 s
% 0.17/0.37 % (10503)Instructions burned: 27 (million)
% 0.17/0.37 % (10503)------------------------------
% 0.17/0.37 % (10503)------------------------------
% 0.17/0.37 % (10511)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)
% 0.17/0.37 % (10510)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)
% 0.17/0.37 % (10512)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)
% 0.17/0.37 % (10509)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)
% 0.17/0.37 % (10511)Instruction limit reached!
% 0.17/0.37 % (10511)------------------------------
% 0.17/0.37 % (10511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (10511)Termination reason: Unknown
% 0.17/0.37 % (10511)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (10511)Memory used [KB]: 1407
% 0.17/0.37 % (10511)Time elapsed: 0.004 s
% 0.17/0.37 % (10511)Instructions burned: 3 (million)
% 0.17/0.37 % (10511)------------------------------
% 0.17/0.37 % (10511)------------------------------
% 0.17/0.37 % (10514)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.38 % (10510)Instruction limit reached!
% 0.17/0.38 % (10510)------------------------------
% 0.17/0.38 % (10510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (10510)Termination reason: Unknown
% 0.17/0.38 % (10510)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (10510)Memory used [KB]: 1791
% 0.17/0.38 % (10510)Time elapsed: 0.012 s
% 0.17/0.38 % (10510)Instructions burned: 15 (million)
% 0.17/0.38 % (10510)------------------------------
% 0.17/0.38 % (10510)------------------------------
% 0.17/0.38 % (10513)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.38 % (10514)Instruction limit reached!
% 0.17/0.38 % (10514)------------------------------
% 0.17/0.38 % (10514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (10514)Termination reason: Unknown
% 0.17/0.38 % (10514)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (10514)Memory used [KB]: 1918
% 0.17/0.38 % (10514)Time elapsed: 0.008 s
% 0.17/0.38 % (10514)Instructions burned: 18 (million)
% 0.17/0.38 % (10514)------------------------------
% 0.17/0.38 % (10514)------------------------------
% 0.17/0.38 % (10513)Instruction limit reached!
% 0.17/0.38 % (10513)------------------------------
% 0.17/0.38 % (10513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (10513)Termination reason: Unknown
% 0.17/0.38 % (10513)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (10513)Memory used [KB]: 1663
% 0.17/0.38 % (10513)Time elapsed: 0.007 s
% 0.17/0.38 % (10513)Instructions burned: 7 (million)
% 0.17/0.38 % (10513)------------------------------
% 0.17/0.38 % (10513)------------------------------
% 0.17/0.39 % (10517)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)
% 0.17/0.39 % (10517)Instruction limit reached!
% 0.17/0.39 % (10517)------------------------------
% 0.17/0.39 % (10517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (10517)Termination reason: Unknown
% 0.17/0.39 % (10517)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (10517)Memory used [KB]: 1407
% 0.17/0.39 % (10517)Time elapsed: 0.004 s
% 0.17/0.39 % (10517)Instructions burned: 3 (million)
% 0.17/0.39 % (10517)------------------------------
% 0.17/0.39 % (10517)------------------------------
% 0.17/0.39 % (10522)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)
% 0.17/0.39 % (10522)Instruction limit reached!
% 0.17/0.39 % (10522)------------------------------
% 0.17/0.39 % (10522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (10522)Termination reason: Unknown
% 0.17/0.39 % (10522)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (10522)Memory used [KB]: 1535
% 0.17/0.39 % (10522)Time elapsed: 0.004 s
% 0.17/0.39 % (10522)Instructions burned: 8 (million)
% 0.17/0.39 % (10522)------------------------------
% 0.17/0.39 % (10522)------------------------------
% 0.17/0.39 % (10521)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)
% 0.17/0.40 % (10521)Instruction limit reached!
% 0.17/0.40 % (10521)------------------------------
% 0.17/0.40 % (10521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (10521)Termination reason: Unknown
% 0.17/0.40 % (10521)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (10521)Memory used [KB]: 1407
% 0.17/0.40 % (10521)Time elapsed: 0.004 s
% 0.17/0.40 % (10521)Instructions burned: 3 (million)
% 0.17/0.40 % (10521)------------------------------
% 0.17/0.40 % (10521)------------------------------
% 0.17/0.40 % (10509)Instruction limit reached!
% 0.17/0.40 % (10509)------------------------------
% 0.17/0.40 % (10509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (10509)Termination reason: Unknown
% 0.17/0.40 % (10509)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (10509)Memory used [KB]: 2174
% 0.17/0.40 % (10509)Time elapsed: 0.029 s
% 0.17/0.40 % (10509)Instructions burned: 37 (million)
% 0.17/0.40 % (10509)------------------------------
% 0.17/0.40 % (10509)------------------------------
% 0.17/0.40 % (10524)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)
% 0.17/0.40 % (10527)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.40 % (10524)Instruction limit reached!
% 0.17/0.40 % (10524)------------------------------
% 0.17/0.40 % (10524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (10524)Termination reason: Unknown
% 0.17/0.40 % (10524)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (10524)Memory used [KB]: 1407
% 0.17/0.40 % (10524)Time elapsed: 0.004 s
% 0.17/0.40 % (10524)Instructions burned: 3 (million)
% 0.17/0.40 % (10524)------------------------------
% 0.17/0.40 % (10524)------------------------------
% 0.17/0.40 % (10526)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.41 % (10526)Instruction limit reached!
% 0.17/0.41 % (10526)------------------------------
% 0.17/0.41 % (10526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (10526)Termination reason: Unknown
% 0.17/0.41 % (10526)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (10526)Memory used [KB]: 1535
% 0.17/0.41 % (10526)Time elapsed: 0.005 s
% 0.17/0.41 % (10526)Instructions burned: 4 (million)
% 0.17/0.41 % (10526)------------------------------
% 0.17/0.41 % (10526)------------------------------
% 0.17/0.41 % (10527)Instruction limit reached!
% 0.17/0.41 % (10527)------------------------------
% 0.17/0.41 % (10527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (10527)Termination reason: Unknown
% 0.17/0.41 % (10527)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (10527)Memory used [KB]: 1918
% 0.17/0.41 % (10527)Time elapsed: 0.008 s
% 0.17/0.41 % (10527)Instructions burned: 18 (million)
% 0.17/0.41 % (10527)------------------------------
% 0.17/0.41 % (10527)------------------------------
% 0.17/0.41 % (10528)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.41 % (10506)First to succeed.
% 0.17/0.42 % (10531)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.17/0.42 % (10530)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.42 % (10536)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.42 % (10506)Refutation found. Thanks to Tanya!
% 0.17/0.42 % SZS status Theorem for theBenchmark
% 0.17/0.42 % SZS output start Proof for theBenchmark
% 0.17/0.42 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 0.17/0.42 thf(type_def_6, type, set: ($tType) > $tType).
% 0.17/0.42 thf(type_def_8, type, tree: ($tType) > $tType).
% 0.17/0.42 thf(type_def_9, type, list: ($tType) > $tType).
% 0.17/0.42 thf(type_def_10, type, multiset: ($tType) > $tType).
% 0.17/0.42 thf(type_def_11, type, a: $tType).
% 0.17/0.42 thf(func_def_0, type, product_prod: ($tType * $tType) > $tType).
% 0.17/0.42 thf(func_def_1, type, multiset: ($tType) > $tType).
% 0.17/0.42 thf(func_def_2, type, list: ($tType) > $tType).
% 0.17/0.42 thf(func_def_3, type, tree: ($tType) > $tType).
% 0.17/0.42 thf(func_def_4, type, set: ($tType) > $tType).
% 0.17/0.42 thf(func_def_5, type, a: $tType).
% 0.17/0.42 thf(func_def_6, type, type: !>[X0: $tType]:($o)).
% 0.17/0.42 thf(func_def_7, type, ord: !>[X0: $tType]:($o)).
% 0.17/0.42 thf(func_def_8, type, order: !>[X0: $tType]:($o)).
% 0.17/0.42 thf(func_def_9, type, linorder: !>[X0: $tType]:($o)).
% 0.17/0.42 thf(func_def_10, type, preorder: !>[X0: $tType]:($o)).
% 0.17/0.42 thf(func_def_11, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:(set @ product_prod @ X0 @ X0 > (X0 > X1) > $o)).
% 0.17/0.42 thf(func_def_12, type, bNF_csquare: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(set @ X0 > (X1 > X2) > (X3 > X2) > (X0 > X1) > (X0 > X3) > $o)).
% 0.17/0.42 thf(func_def_13, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1)).
% 0.17/0.42 thf(func_def_14, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1)).
% 0.17/0.42 thf(func_def_15, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2)).
% 0.17/0.42 thf(func_def_16, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:(set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2)).
% 0.17/0.42 thf(func_def_17, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X2 > X0) > X2 > X1)).
% 0.17/0.42 thf(func_def_18, type, heapIm818251801eapify: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_19, type, heapIm721255937_empty: !>[X0: $tType]:(tree @ X0 > $o)).
% 0.17/0.42 thf(func_def_20, type, heapIm1542349758ve_max: !>[X0: $tType]:(tree @ X0 > product_prod @ X0 @ tree @ X0)).
% 0.17/0.42 thf(func_def_21, type, heapIm1271749598e_left: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_22, type, heapIm970386777veLeaf: !>[X0: $tType]:(tree @ X0 > product_prod @ X0 @ tree @ X0)).
% 0.17/0.42 thf(func_def_23, type, heapIm1434396069_right: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_24, type, heapIm748920189ftDown: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_25, type, heap: !>[X0: $tType, X1: $tType]:(X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o)).
% 0.17/0.42 thf(func_def_26, type, heap_axioms: !>[X0: $tType, X1: $tType]:((X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o)).
% 0.17/0.42 thf(func_def_27, type, e: !>[X0: $tType]:(tree @ X0)).
% 0.17/0.42 thf(func_def_28, type, t: !>[X0: $tType]:(X0 > tree @ X0 > tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_29, type, in_tree: !>[X0: $tType]:(X0 > tree @ X0 > $o)).
% 0.17/0.42 thf(func_def_30, type, is_heap: !>[X0: $tType]:(tree @ X0 > $o)).
% 0.17/0.42 thf(func_def_31, type, multiset2: !>[X0: $tType]:(tree @ X0 > multiset @ X0)).
% 0.17/0.42 thf(func_def_32, type, val: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_33, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.17/0.42 thf(func_def_34, type, lattic929149872er_Max: !>[X0: $tType]:(set @ X0 > X0)).
% 0.17/0.42 thf(func_def_35, type, add_mset: !>[X0: $tType]:(X0 > multiset @ X0 > multiset @ X0)).
% 0.17/0.42 thf(func_def_36, type, set_mset: !>[X0: $tType]:(multiset @ X0 > set @ X0)).
% 0.17/0.42 thf(func_def_37, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.17/0.42 thf(func_def_38, type, order_Greatest: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_39, type, product_Pair: !>[X0: $tType, X1: $tType]:(X0 > X1 > product_prod @ X0 @ X1)).
% 0.17/0.42 thf(func_def_40, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2)).
% 0.17/0.42 thf(func_def_41, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1)).
% 0.17/0.42 thf(func_def_42, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2)).
% 0.17/0.42 thf(func_def_43, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.17/0.42 thf(func_def_44, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.17/0.42 thf(func_def_45, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.17/0.42 thf(func_def_46, type, product_fst: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.17/0.42 thf(func_def_47, type, product_snd: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.17/0.42 thf(func_def_48, type, product_swap: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > product_prod @ X1 @ X0)).
% 0.17/0.42 thf(func_def_49, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3)).
% 0.17/0.42 thf(func_def_50, type, powp: !>[X0: $tType]:((X0 > $o) > set @ X0 > $o)).
% 0.17/0.42 thf(func_def_51, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o)).
% 0.17/0.42 thf(func_def_52, type, collection: !>[X0: $tType, X1: $tType]:(X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > $o)).
% 0.17/0.42 thf(func_def_53, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.17/0.42 thf(func_def_54, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.17/0.42 thf(func_def_55, type, t2: tree @ a).
% 0.17/0.42 thf(func_def_56, type, v: a).
% 0.17/0.42 thf(func_def_74, type, sP0: !>[X0: $tType]:((tree @ X0 > $o) > $o)).
% 0.17/0.42 thf(func_def_75, type, sP1: !>[X0: $tType]:((tree @ X0 > $o) > $o)).
% 0.17/0.42 thf(func_def_76, type, sP2: !>[X0: $tType]:((tree @ X0 > $o) > $o)).
% 0.17/0.42 thf(func_def_77, type, sP3: !>[X0: $tType]:(X0 > X0 > X0 > $o)).
% 0.17/0.42 thf(func_def_78, type, sP4: !>[X0: $tType]:(X0 > X0 > X0 > $o)).
% 0.17/0.42 thf(func_def_79, type, sP5: !>[X0: $tType]:(X0 > X0 > X0 > $o)).
% 0.17/0.42 thf(func_def_80, type, sK6: !>[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)).
% 0.17/0.42 thf(func_def_81, type, sK7: !>[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)).
% 0.17/0.42 thf(func_def_82, type, sK8: !>[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)).
% 0.17/0.42 thf(func_def_83, type, sK9: !>[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)).
% 0.17/0.42 thf(func_def_84, type, sK10: !>[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)).
% 0.17/0.42 thf(func_def_85, type, sK11: !>[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)).
% 0.17/0.42 thf(func_def_86, type, sK12: !>[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)).
% 0.17/0.42 thf(func_def_87, type, sK13: !>[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)).
% 0.17/0.42 thf(func_def_88, type, sK14: !>[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)).
% 0.17/0.42 thf(func_def_89, type, sK15: !>[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)).
% 0.17/0.42 thf(func_def_90, type, sK16: !>[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)).
% 0.17/0.42 thf(func_def_91, type, sK17: !>[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)).
% 0.17/0.42 thf(func_def_92, type, sK18: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > X1)).
% 0.17/0.42 thf(func_def_93, type, sK19: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > X0)).
% 0.17/0.42 thf(func_def_94, type, sK20: !>[X0: $tType, X1: $tType]:(product_prod @ X1 @ X0 > X0 > X1)).
% 0.17/0.42 thf(func_def_95, type, sK21: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_96, type, sK22: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_97, type, sK23: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_98, type, sK24: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_99, type, sK25: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_100, type, sK26: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_101, type, sK27: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_102, type, sK28: !>[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)).
% 0.17/0.42 thf(func_def_103, type, sK29: !>[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)).
% 0.17/0.42 thf(func_def_104, type, sK30: !>[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)).
% 0.17/0.42 thf(func_def_105, type, sK31: !>[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)).
% 0.17/0.42 thf(func_def_106, type, sK32: !>[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)).
% 0.17/0.42 thf(func_def_107, type, sK33: !>[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)).
% 0.17/0.42 thf(func_def_108, type, sK34: !>[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)).
% 0.17/0.42 thf(func_def_109, type, sK35: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 0.17/0.42 thf(func_def_110, type, sK36: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_111, type, sK37: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_112, type, sK38: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_113, type, sK39: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_114, type, sK40: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_115, type, sK41: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_116, type, sK42: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_117, type, sK43: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_118, type, sK44: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_119, type, sK45: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_120, type, sK46: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_121, type, sK47: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_122, type, sK48: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_123, type, sK49: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_124, type, sK50: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_125, type, sK51: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_126, type, sK52: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_127, type, sK53: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_128, type, sK54: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_129, type, sK55: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_130, type, sK56: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_131, type, sK57: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_132, type, sK58: !>[X0: $tType]:((tree @ X0 > $o) > tree @ X0)).
% 0.17/0.42 thf(func_def_133, type, sK59: !>[X0: $tType]:((tree @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_134, type, sK60: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_135, type, sK61: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_136, type, sK62: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_137, type, sK63: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_138, type, sK64: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_139, type, sK65: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_140, type, sK66: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_141, type, sK67: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_142, type, sK68: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_143, type, sK69: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_144, type, sK70: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_145, type, sK71: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_146, type, sK72: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_147, type, sK73: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_148, type, sK74: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_149, type, sK75: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_150, type, sK76: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_151, type, sK77: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_152, type, sK78: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_153, type, sK79: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_154, type, sK80: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_155, type, sK81: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_156, type, sK82: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_157, type, sK83: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.17/0.42 thf(func_def_158, type, sK84: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.17/0.42 thf(func_def_159, type, sK85: !>[X0: $tType, X1: $tType]:((X1 > X0 > $o) > (X1 > X0 > $o) > X1)).
% 0.17/0.42 thf(func_def_160, type, sK86: !>[X0: $tType, X1: $tType]:((X1 > X0 > $o) > (X1 > X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_161, type, sK87: !>[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)).
% 0.17/0.42 thf(func_def_162, type, sK88: !>[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)).
% 0.17/0.42 thf(func_def_163, type, sK89: !>[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)).
% 0.17/0.42 thf(func_def_164, type, sK90: !>[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)).
% 0.17/0.42 thf(func_def_165, type, sK91: !>[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)).
% 0.17/0.42 thf(func_def_166, type, sK92: !>[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)).
% 0.17/0.42 thf(func_def_167, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0)).
% 0.17/0.42 thf(func_def_168, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1)).
% 0.17/0.42 thf(func_def_169, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2)).
% 0.17/0.42 thf(func_def_170, type, sK96: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3)).
% 0.17/0.42 thf(func_def_171, type, sK97: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_172, type, sK98: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_173, type, sK99: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_174, type, sK100: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_175, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0)).
% 0.17/0.42 thf(func_def_176, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1)).
% 0.17/0.42 thf(func_def_177, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2)).
% 0.17/0.42 thf(func_def_178, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3)).
% 0.17/0.42 thf(func_def_179, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4)).
% 0.17/0.42 thf(func_def_180, type, sK106: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 0.17/0.42 thf(func_def_181, type, sK107: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_182, type, sK108: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0 > X1)).
% 0.17/0.42 thf(func_def_183, type, sK109: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_184, type, sK110: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_185, type, sK111: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_186, type, sK112: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_187, type, sK113: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_188, type, sK114: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_189, type, sK115: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_190, type, sK116: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_191, type, sK117: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_192, type, sK118: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_193, type, sK119: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_194, type, sK120: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_195, type, sK121: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_196, type, sK122: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_197, type, sK123: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_198, type, sK124: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_199, type, sK125: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.17/0.42 thf(func_def_200, type, sK126: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X0)).
% 0.17/0.42 thf(func_def_201, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X1)).
% 0.17/0.42 thf(func_def_202, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X2)).
% 0.17/0.42 thf(func_def_203, type, sK129: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_204, type, sK130: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_205, type, sK131: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_206, type, sK132: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_207, type, sK133: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_208, type, sK134: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_209, type, sK135: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_210, type, sK136: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_211, type, sK137: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_212, type, sK138: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_213, type, sK139: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_214, type, sK140: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_215, type, sK141: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_216, type, sK142: !>[X0: $tType]:(tree @ X0 > X0)).
% 0.17/0.42 thf(func_def_217, type, sK143: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_218, type, sK144: !>[X0: $tType]:(tree @ X0 > tree @ X0)).
% 0.17/0.42 thf(func_def_219, type, sK145: !>[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)).
% 0.17/0.42 thf(func_def_220, type, sK146: !>[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)).
% 0.17/0.42 thf(func_def_221, type, sK147: !>[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)).
% 0.17/0.42 thf(func_def_222, type, sK148: !>[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)).
% 0.17/0.42 thf(func_def_223, type, sK149: !>[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)).
% 0.17/0.42 thf(func_def_224, type, sK150: !>[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)).
% 0.17/0.42 thf(func_def_225, type, sK151: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.17/0.42 thf(func_def_226, type, sK152: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.17/0.42 thf(func_def_227, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_228, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 0.17/0.42 thf(func_def_229, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.17/0.42 thf(func_def_230, type, sK156: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.17/0.42 thf(func_def_231, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.17/0.42 thf(func_def_232, type, sK158: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.17/0.42 thf(func_def_233, type, sK159: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.17/0.42 thf(func_def_235, type, ph161: !>[X0: $tType]:(X0)).
% 0.17/0.42 thf(f1077,plain,(
% 0.17/0.42 $false),
% 0.17/0.42 inference(subsumption_resolution,[],[f1076,f1050])).
% 0.17/0.42 thf(f1050,plain,(
% 0.17/0.42 (linorder @ a = $true)),
% 0.17/0.42 inference(cnf_transformation,[],[f398])).
% 0.17/0.42 thf(f398,plain,(
% 0.17/0.42 (linorder @ a = $true)),
% 0.17/0.42 inference(fool_elimination,[],[f397])).
% 0.17/0.42 thf(f397,plain,(
% 0.17/0.42 linorder @ a),
% 0.17/0.42 inference(rectify,[],[f277])).
% 0.17/0.42 thf(f277,axiom,(
% 0.17/0.42 linorder @ a),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 0.17/0.42 thf(f1076,plain,(
% 0.17/0.42 (linorder @ a != $true)),
% 0.17/0.42 inference(trivial_inequality_removal,[],[f1075])).
% 0.17/0.42 thf(f1075,plain,(
% 0.17/0.42 ($true != $true) | (linorder @ a != $true)),
% 0.17/0.42 inference(superposition,[],[f1074,f974])).
% 0.17/0.42 thf(f974,plain,(
% 0.17/0.42 ( ! [X0 : $tType] : (((is_heap @ X0 @ e @ X0) = $true) | (linorder @ X0 != $true)) )),
% 0.17/0.42 inference(cnf_transformation,[],[f765])).
% 0.17/0.42 thf(f765,plain,(
% 0.17/0.42 ! [X0 : $tType] : (((is_heap @ X0 @ e @ X0) = $true) | (linorder @ X0 != $true))),
% 0.17/0.42 inference(ennf_transformation,[],[f456])).
% 0.17/0.42 thf(f456,plain,(
% 0.17/0.42 ! [X0 : $tType] : ((linorder @ X0 = $true) => ((is_heap @ X0 @ e @ X0) = $true))),
% 0.17/0.42 inference(fool_elimination,[],[f455])).
% 0.17/0.42 thf(f455,plain,(
% 0.17/0.42 ! [X0 : $tType] : (linorder @ X0 => (is_heap @ X0 @ e @ X0))),
% 0.17/0.42 inference(rectify,[],[f11])).
% 0.17/0.42 thf(f11,axiom,(
% 0.17/0.42 ! [X0 : $tType] : (linorder @ X0 => (is_heap @ X0 @ e @ X0))),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_is__heap_Osimps_I1_J)).
% 0.17/0.42 thf(f1074,plain,(
% 0.17/0.42 ((is_heap @ a @ e @ a) != $true)),
% 0.17/0.42 inference(forward_demodulation,[],[f1073,f1059])).
% 0.17/0.42 thf(f1059,plain,(
% 0.17/0.42 ( ! [X1 : $tType,X0 : $tType,X3 : X0,X4 : X1] : (((product_snd @ X0 @ X1 @ (product_Pair @ X0 @ X1 @ X3 @ X4)) = X4)) )),
% 0.17/0.42 inference(equality_resolution,[],[f1005])).
% 0.17/0.42 thf(f1005,plain,(
% 0.17/0.42 ( ! [X1 : $tType,X0 : $tType,X2 : product_prod @ X0 @ X1,X3 : X0,X4 : X1] : (((product_Pair @ X0 @ X1 @ X3 @ X4) != X2) | ((product_snd @ X0 @ X1 @ X2) = X4)) )),
% 0.17/0.42 inference(cnf_transformation,[],[f772])).
% 0.17/0.42 thf(f772,plain,(
% 0.17/0.42 ! [X0 : $tType,X1 : $tType,X2 : product_prod @ X0 @ X1,X3 : X0,X4 : X1] : (((product_Pair @ X0 @ X1 @ X3 @ X4) != X2) | ((product_snd @ X0 @ X1 @ X2) = X4))),
% 0.17/0.42 inference(ennf_transformation,[],[f716])).
% 0.17/0.42 thf(f716,plain,(
% 0.17/0.42 ! [X0 : $tType,X1 : $tType,X2 : product_prod @ X0 @ X1,X3 : X0,X4 : X1] : (((product_Pair @ X0 @ X1 @ X3 @ X4) = X2) => ((product_snd @ X0 @ X1 @ X2) = X4))),
% 0.17/0.42 inference(rectify,[],[f28])).
% 0.17/0.42 thf(f28,axiom,(
% 0.17/0.42 ! [X0 : $tType,X1 : $tType,X5 : product_prod @ X0 @ X1,X27 : X0,X47 : X1] : (((product_Pair @ X0 @ X1 @ X27 @ X47) = X5) => ((product_snd @ X0 @ X1 @ X5) = X47))),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_sndI)).
% 0.17/0.42 thf(f1073,plain,(
% 0.17/0.42 ($true != (is_heap @ a @ (product_snd @ a @ tree @ a @ (product_Pair @ a @ tree @ a @ v @ e @ a))))),
% 0.17/0.42 inference(subsumption_resolution,[],[f1072,f1050])).
% 0.17/0.42 thf(f1072,plain,(
% 0.17/0.42 ($true != (is_heap @ a @ (product_snd @ a @ tree @ a @ (product_Pair @ a @ tree @ a @ v @ e @ a)))) | (linorder @ a != $true)),
% 0.17/0.42 inference(superposition,[],[f1004,f1002])).
% 0.17/0.42 thf(f1002,plain,(
% 0.17/0.42 ( ! [X0 : $tType,X1 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0)) = (product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0)) | (linorder @ X0 != $true)) )),
% 0.17/0.42 inference(cnf_transformation,[],[f754])).
% 0.17/0.42 thf(f754,plain,(
% 0.17/0.42 ! [X0 : $tType] : ((linorder @ X0 != $true) | ! [X1 : X0] : ((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0)) = (product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0)))),
% 0.17/0.42 inference(ennf_transformation,[],[f546])).
% 0.17/0.42 thf(f546,plain,(
% 0.17/0.42 ! [X0 : $tType] : ((linorder @ X0 = $true) => ! [X1 : X0] : ((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0)) = (product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0)))),
% 0.17/0.42 inference(fool_elimination,[],[f545])).
% 0.17/0.42 thf(f545,plain,(
% 0.17/0.42 ! [X0 : $tType] : (linorder @ X0 => ! [X1 : X0] : ((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0)) = (product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0)))),
% 0.17/0.42 inference(rectify,[],[f17])).
% 0.17/0.42 thf(f17,axiom,(
% 0.17/0.42 ! [X0 : $tType] : (linorder @ X0 => ! [X15 : X0] : ((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X15 @ e @ X0 @ e @ X0)) = (product_Pair @ X0 @ tree @ X0 @ X15 @ e @ X0)))),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_removeLeaf_Osimps_I1_J)).
% 0.17/0.42 thf(f1004,plain,(
% 0.17/0.42 ((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a)))) != $true)),
% 0.17/0.42 inference(cnf_transformation,[],[f709])).
% 0.17/0.42 thf(f709,plain,(
% 0.17/0.42 ((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a)))) != $true)),
% 0.17/0.42 inference(flattening,[],[f566])).
% 0.17/0.42 thf(f566,plain,(
% 0.17/0.42 ~((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a)))) = $true)),
% 0.17/0.42 inference(fool_elimination,[],[f565])).
% 0.17/0.42 thf(f565,plain,(
% 0.17/0.42 ~(is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))),
% 0.17/0.42 inference(rectify,[],[f279])).
% 0.17/0.42 thf(f279,negated_conjecture,(
% 0.17/0.42 ~(is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))),
% 0.17/0.42 inference(negated_conjecture,[],[f278])).
% 0.17/0.42 thf(f278,conjecture,(
% 0.17/0.42 (is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.17/0.42 % SZS output end Proof for theBenchmark
% 0.17/0.42 % (10506)------------------------------
% 0.17/0.42 % (10506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (10506)Termination reason: Refutation
% 0.17/0.42
% 0.17/0.42 % (10506)Memory used [KB]: 7291
% 0.17/0.42 % (10506)Time elapsed: 0.067 s
% 0.17/0.42 % (10506)Instructions burned: 103 (million)
% 0.17/0.42 % (10506)------------------------------
% 0.17/0.42 % (10506)------------------------------
% 0.17/0.42 % (10500)Success in time 0.106 s
% 0.17/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------