%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP140^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:31 AM UTC 2026
% Result : Theorem 0.58s 0.42s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP140^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n002.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 20:02:08 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.23/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.42 % (1777983)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.58/0.42 % (1777992)lrs+10_16_si=on:nwc=1.5:random_seed=4052896416:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.58/0.42 % (1777997)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.58/0.42 % (1777997)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.58/0.42 % (1777992)Instruction limit reached!
% 0.58/0.42 % (1777992)------------------------------
% 0.58/0.42 % (1777992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1777992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1777992)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1777992)Termination reason: Instruction limit
% 0.58/0.42 % (1777992)Termination phase: Property scanning
% 0.58/0.42 % (1777992)Time elapsed: 0.005 s
% 0.58/0.42 % (1777992)Peak memory usage: 10 MB
% 0.58/0.42 % (1777992)Instructions burned: 19 (million)
% 0.58/0.42 % (1777991)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=648425137:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.58/0.42 % (1777993)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2350282645:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.58/0.42 % (1777995)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=260994631:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.58/0.42 % (1777994)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3554860009:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.58/0.42 % (1777996)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2705886188:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.58/0.42 % (1777997)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3064894736:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.58/0.42 % (1777993)Instruction limit reached!
% 0.58/0.42 % (1777993)------------------------------
% 0.58/0.42 % (1777993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1777993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1777993)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1777993)Termination reason: Instruction limit
% 0.58/0.42 % (1777993)Termination phase: shuffling
% 0.58/0.42 % (1777993)Time elapsed: 0.002 s
% 0.58/0.42 % (1777993)Peak memory usage: 10 MB
% 0.58/0.42 % (1777993)Instructions burned: 3 (million)
% 0.58/0.42 % (1777999)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1680992187:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.42 % (1777999)Instruction limit reached!
% 0.58/0.42 % (1777999)------------------------------
% 0.58/0.42 % (1777999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1777999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1777999)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1777999)Termination reason: Instruction limit
% 0.58/0.42 % (1777999)Termination phase: shuffling
% 0.58/0.42 % (1777999)Time elapsed: 0.002 s
% 0.58/0.42 % (1777999)Peak memory usage: 10 MB
% 0.58/0.42 % (1777999)Instructions burned: 6 (million)
% 0.58/0.42 % (1777995)Instruction limit reached!
% 0.58/0.42 % (1777995)------------------------------
% 0.58/0.42 % (1777995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1777995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1777995)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1777995)Termination reason: Instruction limit
% 0.58/0.42 % (1777995)Termination phase: Property scanning
% 0.58/0.42 % (1777995)Time elapsed: 0.012 s
% 0.58/0.42 % (1777995)Peak memory usage: 10 MB
% 0.58/0.42 % (1777995)Instructions burned: 24 (million)
% 0.58/0.42 % (1778008)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.42 % (1778006)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=107625089:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.58/0.42 % (1778008)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3306157108:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.58/0.42 % (1778008)Instruction limit reached!
% 0.58/0.42 % (1778008)------------------------------
% 0.58/0.42 % (1778008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1778008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1778008)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1778008)Termination reason: Instruction limit
% 0.58/0.42 % (1778008)Termination phase: shuffling
% 0.58/0.42 % (1778008)Time elapsed: 0.002 s
% 0.58/0.42 % (1778008)Peak memory usage: 10 MB
% 0.58/0.42 % (1778008)Instructions burned: 7 (million)
% 0.58/0.42 % (1778006)Instruction limit reached!
% 0.58/0.42 % (1778006)------------------------------
% 0.58/0.42 % (1778006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1778006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1778006)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1778006)Termination reason: Instruction limit
% 0.58/0.42 % (1778006)Termination phase: shuffling
% 0.58/0.42 % (1778006)Time elapsed: 0.004 s
% 0.58/0.42 % (1778006)Peak memory usage: 10 MB
% 0.58/0.42 % (1778006)Instructions burned: 7 (million)
% 0.58/0.42 % (1778009)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2940190683:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.58/0.42 % (1777991)Instruction limit reached!
% 0.58/0.42 % (1777991)------------------------------
% 0.58/0.42 % (1777991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1777991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1777991)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1777991)Termination reason: Instruction limit
% 0.58/0.42 % (1777991)Termination phase: Function definition elimination
% 0.58/0.42 % (1777991)Time elapsed: 0.042 s
% 0.58/0.42 % (1777991)Peak memory usage: 12 MB
% 0.58/0.42 % (1777991)Instructions burned: 87 (million)
% 0.58/0.42 % (1777996)Instruction limit reached!
% 0.58/0.42 % (1777996)------------------------------
% 0.58/0.42 % (1777996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1777996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1777996)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1777996)Termination reason: Instruction limit
% 0.58/0.42 % (1777996)Termination phase: Property scanning
% 0.58/0.42 % (1777996)Time elapsed: 0.042 s
% 0.58/0.42 % (1777996)Peak memory usage: 12 MB
% 0.58/0.42 % (1777996)Instructions burned: 77 (million)
% 0.58/0.42 % (1778013)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3888037211:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.58/0.42 % (1778009)Instruction limit reached!
% 0.58/0.42 % (1778009)------------------------------
% 0.58/0.42 % (1778009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1778009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1778009)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1778009)Termination reason: Instruction limit
% 0.58/0.42 % (1778009)Termination phase: shuffling
% 0.58/0.42 % (1778009)Time elapsed: 0.010 s
% 0.58/0.42 % (1778009)Peak memory usage: 10 MB
% 0.58/0.42 % (1778009)Instructions burned: 12 (million)
% 0.58/0.42 % (1778012)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.58/0.42 % (1778012)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.42 % (1778017)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.58/0.42 % (1778012)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2120414948:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.58/0.42 % (1778017)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2184179073:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.42 % (1778017)Instruction limit reached!
% 0.58/0.42 % (1778017)------------------------------
% 0.58/0.42 % (1778017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1778017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1778017)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1778017)Termination reason: Instruction limit
% 0.58/0.42 % (1778017)Termination phase: shuffling
% 0.58/0.42 % (1778017)Time elapsed: 0.001 s
% 0.58/0.42 % (1778017)Peak memory usage: 10 MB
% 0.58/0.42 % (1778017)Instructions burned: 4 (million)
% 0.58/0.42 % (1778015)lrs+10_1_si=on:cs=on:random_seed=811176647:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.58/0.42 % (1778021)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1473344223:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.58/0.42 % (1778015)Instruction limit reached!
% 0.58/0.42 % (1778015)------------------------------
% 0.58/0.42 % (1778015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1778015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1778015)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1778015)Termination reason: Instruction limit
% 0.58/0.42 % (1778015)Termination phase: shuffling
% 0.58/0.42 % (1778015)Time elapsed: 0.005 s
% 0.58/0.42 % (1778015)Peak memory usage: 10 MB
% 0.58/0.42 % (1778015)Instructions burned: 10 (million)
% 0.58/0.42 % (1778018)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=647159623:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.58/0.42 % (1778012)Instruction limit reached!
% 0.58/0.42 % (1778012)------------------------------
% 0.58/0.42 % (1778012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1778012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1778012)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1778012)Termination reason: Instruction limit
% 0.58/0.42 % (1778012)Termination phase: shuffling
% 0.58/0.42 % (1778012)Time elapsed: 0.014 s
% 0.58/0.42 % (1778012)Peak memory usage: 11 MB
% 0.58/0.42 % (1778012)Instructions burned: 30 (million)
% 0.58/0.42 % (1777997)Instruction limit reached!
% 0.58/0.42 % (1777997)------------------------------
% 0.58/0.42 % (1777997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1777997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1777997)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1777997)Termination reason: Instruction limit
% 0.58/0.42 % (1777997)Termination phase: Saturation
% 0.58/0.42 % (1777997)Time elapsed: 0.074 s
% 0.58/0.42 % (1777997)Peak memory usage: 14 MB
% 0.58/0.42 % (1777997)Instructions burned: 157 (million)
% 0.58/0.42 % (1778021) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1777983-1778021"...
% 0.58/0.42 % (1778021)...printing done.
% 0.58/0.42 % (1778021)Refutation found. Thanks to Tanya!
% 0.58/0.42 % SZS status Theorem for theBenchmark
% 0.58/0.42 % SZS output start Proof for theBenchmark
% 0.58/0.42 thf(type_def_5, type, paraco415392788lle_tv: $tType).
% 0.58/0.42 thf(type_def_6, type, paraco414474393lle_fm: $tType).
% 0.58/0.42 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 0.58/0.42 thf(type_def_8, type, char: $tType).
% 0.58/0.42 thf(type_def_9, type, list: $tType > $tType).
% 0.58/0.42 thf(type_def_10, type, set: $tType > $tType).
% 0.58/0.42 thf(type_def_11, type, nat: $tType).
% 0.58/0.42 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.58/0.42 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.58/0.42 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 0.58/0.42 thf(func_def_2, type, top: !>[X0: $tType]:($o)).
% 0.58/0.42 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 0.58/0.42 thf(func_def_4, type, linorder: !>[X0: $tType]:($o)).
% 0.58/0.42 thf(func_def_5, type, preorder: !>[X0: $tType]:($o)).
% 0.58/0.42 thf(func_def_6, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1))).
% 0.58/0.42 thf(func_def_7, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 0.58/0.42 thf(func_def_8, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 0.58/0.42 thf(func_def_9, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 0.58/0.42 thf(func_def_10, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 0.58/0.42 thf(func_def_11, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 0.58/0.42 thf(func_def_12, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.58/0.42 thf(func_def_13, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.58/0.42 thf(func_def_14, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.58/0.42 thf(func_def_15, type, top_top: !>[X0: $tType]:(X0)).
% 0.58/0.42 thf(func_def_16, type, paraco753463838ge_int: ((nat > nat) > (list @ char > paraco415392788lle_tv) > list @ char > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_17, type, paraco1920534163nge_tv: ((nat > nat) > paraco415392788lle_tv > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_18, type, paraco2077297190tv_rel: (product_prod @ (nat > nat) @ paraco415392788lle_tv > product_prod @ (nat > nat) @ paraco415392788lle_tv > $o)).
% 0.58/0.42 thf(func_def_19, type, paraco876059933e_eval: ((list @ char > paraco415392788lle_tv) > paraco414474393lle_fm > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_20, type, paraco2100061555le_Con: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_21, type, paraco2084319816le_Eql: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_22, type, paraco1628874225le_Eql: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_23, type, paraco329115265le_Neg: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_24, type, paraco27778325le_Pro: (list @ char > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_25, type, paraco251304083_Truth: paraco414474393lle_fm).
% 0.58/0.42 thf(func_def_26, type, paraco1246693743ase_fm: !>[X0: $tType]:(((list @ char > X0) > X0 > (paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > paraco414474393lle_fm > X0))).
% 0.58/0.42 thf(func_def_27, type, paraco815940159rec_fm: !>[X0: $tType]:(((list @ char > X0) > X0 > (paraco414474393lle_fm > X0 > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0 > X0 > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0 > X0 > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0 > X0 > X0) > paraco414474393lle_fm > X0))).
% 0.58/0.42 thf(func_def_28, type, paraco2040174112le_Det: ($o > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_29, type, paraco676387099_Indet: (nat > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_30, type, paraco490622181ase_tv: !>[X0: $tType]:((($o > X0) > (nat > X0) > paraco415392788lle_tv > X0))).
% 0.58/0.42 thf(func_def_31, type, paraco152590079rec_tv: !>[X0: $tType]:((($o > X0) > (nat > X0) > paraco415392788lle_tv > X0))).
% 0.58/0.42 thf(func_def_32, type, paraco769098683_valid: (paraco414474393lle_fm > $o)).
% 0.58/0.42 thf(func_def_33, type, paraco2086025920lid_in: (set @ nat > paraco414474393lle_fm > $o)).
% 0.58/0.42 thf(func_def_34, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.58/0.42 thf(func_def_35, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 0.58/0.42 thf(func_def_36, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 0.58/0.42 thf(func_def_37, type, product_case_bool: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 0.58/0.42 thf(func_def_38, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 0.58/0.42 thf(func_def_39, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.58/0.42 thf(func_def_40, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 0.58/0.42 thf(func_def_41, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.58/0.42 thf(func_def_42, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.58/0.42 thf(func_def_43, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.58/0.42 thf(func_def_44, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 0.58/0.42 thf(func_def_45, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 0.58/0.42 thf(func_def_46, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 0.58/0.42 thf(func_def_47, type, total_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 0.58/0.42 thf(func_def_48, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.58/0.42 thf(func_def_49, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 0.58/0.42 thf(func_def_50, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 0.58/0.42 thf(func_def_51, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 0.58/0.42 thf(func_def_52, type, wf: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 0.58/0.42 thf(func_def_53, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 0.58/0.42 thf(func_def_54, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.58/0.42 thf(func_def_55, type, f: (nat > nat)).
% 0.58/0.42 thf(func_def_56, type, i: (list @ char > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_57, type, p1: paraco414474393lle_fm).
% 0.58/0.42 thf(func_def_58, type, p2: paraco414474393lle_fm).
% 0.58/0.42 thf(func_def_60, type, db0: !>[X0: $tType]:(X0)).
% 0.58/0.42 thf(func_def_61, type, db2: !>[X0: $tType]:(X0)).
% 0.58/0.42 thf(func_def_62, type, db1: !>[X0: $tType]:(X0)).
% 0.58/0.42 thf(func_def_63, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.58/0.42 thf(func_def_66, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.58/0.42 thf(func_def_67, type, vAND: ($o > $o > $o)).
% 0.58/0.42 thf(func_def_68, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.58/0.42 thf(func_def_69, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.58/0.42 thf(func_def_70, type, vIMP: ($o > $o > $o)).
% 0.58/0.42 thf(func_def_71, type, db3: !>[X0: $tType]:(X0)).
% 0.58/0.42 thf(func_def_72, type, vNOT: ($o > $o)).
% 0.58/0.42 thf(func_def_73, type, vOR: ($o > $o > $o)).
% 0.58/0.42 thf(func_def_74, type, sP0: ((paraco414474393lle_fm > $o) > $o)).
% 0.58/0.42 thf(func_def_75, type, sP1: ((paraco414474393lle_fm > $o) > $o)).
% 0.58/0.42 thf(func_def_76, type, sP2: ((paraco414474393lle_fm > $o) > $o)).
% 0.58/0.42 thf(func_def_77, type, sP3: ((paraco414474393lle_fm > $o) > $o)).
% 0.58/0.42 thf(func_def_78, type, sK4: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_79, type, sK5: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_80, type, sK6: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_81, type, sK7: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_82, type, sK8: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_83, type, sK9: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_84, type, sK10: ((paraco414474393lle_fm > $o) > list @ char)).
% 0.58/0.42 thf(func_def_85, type, sK11: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_86, type, sK12: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_87, type, sK13: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_88, type, sK14: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_89, type, sK15: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_90, type, sK16: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_91, type, sK17: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_92, type, sK18: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_93, type, sK19: (paraco414474393lle_fm > list @ char)).
% 0.58/0.42 thf(func_def_94, type, sK20: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_95, type, sK21: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_96, type, sK22: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_97, type, sK23: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char)).
% 0.58/0.42 thf(func_def_98, type, sK24: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_99, type, sK25: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_100, type, sK26: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_101, type, sK27: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_102, type, sK28: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_103, type, sK29: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_104, type, sK30: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_105, type, sK31: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_106, type, sK32: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_107, type, sK33: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.58/0.42 thf(func_def_108, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.58/0.42 thf(func_def_109, type, sK35: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_110, type, sK36: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_111, type, sK37: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_112, type, sK38: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_113, type, sK39: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_114, type, sK40: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_115, type, sK41: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_116, type, sK42: ((paraco414474393lle_fm > $o) > list @ char)).
% 0.58/0.42 thf(func_def_117, type, sK43: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_118, type, sK44: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_119, type, sK45: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_120, type, sK46: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_121, type, sK47: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_122, type, sK48: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_123, type, sK49: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.58/0.42 thf(func_def_124, type, sK50: (paraco414474393lle_fm > list @ char)).
% 0.58/0.42 thf(f1,axiom,(
% 0.58/0.42 (((paraco2040174112le_Det @ $true)) != ((paraco876059933e_eval @ i @ p1)))),
% 0.58/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_a_H_H)).
% 0.58/0.42 thf(f2,axiom,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p2)) = ((paraco2040174112le_Det @ $true)))),
% 0.58/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_a)).
% 0.58/0.42 thf(f3,axiom,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p1)) != ((paraco876059933e_eval @ i @ p2)))),
% 0.58/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_a_H)).
% 0.58/0.42 thf(f6,axiom,(
% 0.58/0.42 ! [X1 : paraco414474393lle_fm,X0 : (list @ char > paraco415392788lle_tv),X2 : paraco414474393lle_fm] : (((((paraco876059933e_eval @ X0 @ X1)) = ((paraco876059933e_eval @ X0 @ X2))) => (((paraco876059933e_eval @ X0 @ (paraco2100061555le_Con @ X1 @ X2))) = ((paraco876059933e_eval @ X0 @ X1)))) & ((((paraco876059933e_eval @ X0 @ X1)) != ((paraco876059933e_eval @ X0 @ X2))) => (((((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X0 @ X1))) => (((paraco876059933e_eval @ X0 @ (paraco2100061555le_Con @ X1 @ X2))) = ((paraco876059933e_eval @ X0 @ X2)))) & ((((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $true))) => (((((paraco876059933e_eval @ X0 @ X2)) = ((paraco2040174112le_Det @ $true))) => (((paraco876059933e_eval @ X0 @ (paraco2100061555le_Con @ X1 @ X2))) = ((paraco876059933e_eval @ X0 @ X1)))) & ((((paraco2040174112le_Det @ $true)) != ((paraco876059933e_eval @ X0 @ X2))) => (((paraco2040174112le_Det @ $false)) = ((paraco876059933e_eval @ X0 @ (paraco2100061555le_Con @ X1 @ X2))))))))))),
% 0.58/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_eval_Osimps_I4_J)).
% 0.58/0.42 thf(f277,conjecture,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ (paraco2100061555le_Con @ p1 @ p2))) = ((paraco876059933e_eval @ i @ p1)))),
% 0.58/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.58/0.42 thf(f278,negated_conjecture,(
% 0.58/0.42 ~ (((paraco876059933e_eval @ i @ (paraco2100061555le_Con @ p1 @ p2))) = ((paraco876059933e_eval @ i @ p1)))),
% 0.58/0.42 inference(negated_conjecture,[status(cth)],[f277])).
% 0.58/0.42 thf(f367,plain,(
% 0.58/0.42 ! [X0 : paraco414474393lle_fm,X1 : (list @ char > paraco415392788lle_tv),X2 : paraco414474393lle_fm] : (((((paraco876059933e_eval @ X1 @ X0)) = ((paraco876059933e_eval @ X1 @ X2))) => (((paraco876059933e_eval @ X1 @ X0)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2))))) & ((((paraco876059933e_eval @ X1 @ X0)) != ((paraco876059933e_eval @ X1 @ X2))) => (((((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X1 @ X0))) => (((paraco876059933e_eval @ X1 @ X2)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2))))) & ((((paraco876059933e_eval @ X1 @ X0)) != ((paraco2040174112le_Det @ $true))) => (((((paraco876059933e_eval @ X1 @ X2)) = ((paraco2040174112le_Det @ $true))) => (((paraco876059933e_eval @ X1 @ X0)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2))))) & ((((paraco2040174112le_Det @ $true)) != ((paraco876059933e_eval @ X1 @ X2))) => (((paraco2040174112le_Det @ $false)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2))))))))))),
% 0.58/0.42 inference(rectify,[],[f6])).
% 0.58/0.42 thf(f368,plain,(
% 0.58/0.42 ! [X2 : paraco414474393lle_fm,X0 : paraco414474393lle_fm,X1 : (list @ char > paraco415392788lle_tv)] : (((((paraco876059933e_eval @ X1 @ X0)) != ((paraco876059933e_eval @ X1 @ X2))) => (((((paraco876059933e_eval @ X1 @ X0)) = ((paraco2040174112le_Det @ $true))) => (((paraco876059933e_eval @ X1 @ X2)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2))))) & ((((paraco876059933e_eval @ X1 @ X0)) != ((paraco2040174112le_Det @ $true))) => (((((paraco876059933e_eval @ X1 @ X2)) != ((paraco2040174112le_Det @ $true))) => (((paraco2040174112le_Det @ $false)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2))))) & ((((paraco876059933e_eval @ X1 @ X2)) = ((paraco2040174112le_Det @ $true))) => (((paraco876059933e_eval @ X1 @ X0)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2))))))))) & ((((paraco876059933e_eval @ X1 @ X0)) = ((paraco876059933e_eval @ X1 @ X2))) => (((paraco876059933e_eval @ X1 @ X0)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2))))))),
% 0.58/0.42 inference(fool_elimination,[],[f367])).
% 0.58/0.42 thf(f399,plain,(
% 0.58/0.42 (((paraco2040174112le_Det @ $true)) != ((paraco876059933e_eval @ i @ p1)))),
% 0.58/0.42 inference(rectify,[],[f1])).
% 0.58/0.42 thf(f400,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p1)) != ((paraco2040174112le_Det @ $true)))),
% 0.58/0.42 inference(fool_elimination,[],[f399])).
% 0.58/0.42 thf(f416,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p2)) = ((paraco2040174112le_Det @ $true)))),
% 0.58/0.42 inference(rectify,[],[f2])).
% 0.58/0.42 thf(f417,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p2)) = ((paraco2040174112le_Det @ $true)))),
% 0.58/0.42 inference(fool_elimination,[],[f416])).
% 0.58/0.42 thf(f626,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p1)) != ((paraco876059933e_eval @ i @ (paraco2100061555le_Con @ p1 @ p2))))),
% 0.58/0.42 inference(flattening,[],[f278])).
% 0.58/0.42 thf(f637,plain,(
% 0.58/0.42 ! [X1 : (list @ char > paraco415392788lle_tv),X2 : paraco414474393lle_fm,X0 : paraco414474393lle_fm] : (((((paraco876059933e_eval @ X1 @ X0)) = ((paraco876059933e_eval @ X1 @ X2))) | (((((paraco876059933e_eval @ X1 @ X2)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2)))) | (((paraco876059933e_eval @ X1 @ X0)) != ((paraco2040174112le_Det @ $true)))) & ((((((paraco876059933e_eval @ X1 @ X0)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2)))) | (((paraco876059933e_eval @ X1 @ X2)) != ((paraco2040174112le_Det @ $true)))) & ((((paraco2040174112le_Det @ $false)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2)))) | (((paraco876059933e_eval @ X1 @ X2)) = ((paraco2040174112le_Det @ $true))))) | (((paraco876059933e_eval @ X1 @ X0)) = ((paraco2040174112le_Det @ $true)))))) & ((((paraco876059933e_eval @ X1 @ X0)) = ((paraco876059933e_eval @ X1 @ (paraco2100061555le_Con @ X0 @ X2)))) | (((paraco876059933e_eval @ X1 @ X0)) != ((paraco876059933e_eval @ X1 @ X2)))))),
% 0.58/0.42 inference(ennf_transformation,[],[f368])).
% 0.58/0.42 thf(f687,plain,(
% 0.58/0.42 ! [X0 : (list @ char > paraco415392788lle_tv),X1 : paraco414474393lle_fm,X2 : paraco414474393lle_fm] : (((((paraco876059933e_eval @ X0 @ X1)) = ((paraco876059933e_eval @ X0 @ X2))) | (((((paraco876059933e_eval @ X0 @ X1)) = ((paraco876059933e_eval @ X0 @ (paraco2100061555le_Con @ X2 @ X1)))) | (((paraco876059933e_eval @ X0 @ X2)) != ((paraco2040174112le_Det @ $true)))) & ((((((paraco876059933e_eval @ X0 @ X2)) = ((paraco876059933e_eval @ X0 @ (paraco2100061555le_Con @ X2 @ X1)))) | (((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $true)))) & ((((paraco876059933e_eval @ X0 @ (paraco2100061555le_Con @ X2 @ X1))) = ((paraco2040174112le_Det @ $false))) | (((paraco876059933e_eval @ X0 @ X1)) = ((paraco2040174112le_Det @ $true))))) | (((paraco876059933e_eval @ X0 @ X2)) = ((paraco2040174112le_Det @ $true)))))) & ((((paraco876059933e_eval @ X0 @ X2)) = ((paraco876059933e_eval @ X0 @ (paraco2100061555le_Con @ X2 @ X1)))) | (((paraco876059933e_eval @ X0 @ X1)) != ((paraco876059933e_eval @ X0 @ X2)))))),
% 0.58/0.42 inference(rectify,[],[f637])).
% 0.58/0.42 thf(f713,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p1)) != ((paraco2040174112le_Det @ $true)))),
% 0.58/0.42 inference(cnf_transformation,[],[f400])).
% 0.58/0.42 thf(f738,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p1)) != ((paraco876059933e_eval @ i @ (paraco2100061555le_Con @ p1 @ p2))))),
% 0.58/0.42 inference(cnf_transformation,[],[f626])).
% 0.58/0.42 thf(f742,plain,(
% 0.58/0.42 ( ! [X2 : paraco414474393lle_fm,X0 : (list @ char > paraco415392788lle_tv),X1 : paraco414474393lle_fm] : ((((paraco876059933e_eval @ X0 @ X2)) = ((paraco876059933e_eval @ X0 @ (paraco2100061555le_Con @ X2 @ X1)))) | (((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ X0 @ X1)) = ((paraco876059933e_eval @ X0 @ X2))) | (((paraco876059933e_eval @ X0 @ X2)) = ((paraco2040174112le_Det @ $true)))) )),
% 0.58/0.42 inference(cnf_transformation,[],[f687])).
% 0.58/0.42 thf(f749,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p1)) != ((paraco876059933e_eval @ i @ p2)))),
% 0.58/0.42 inference(cnf_transformation,[],[f3])).
% 0.58/0.42 thf(f752,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p2)) = ((paraco2040174112le_Det @ $true)))),
% 0.58/0.42 inference(cnf_transformation,[],[f417])).
% 0.58/0.42 thf(f756,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p1)) != ((paraco876059933e_eval @ i @ p1))) | (((paraco876059933e_eval @ i @ p1)) = ((paraco876059933e_eval @ i @ p2))) | (((paraco876059933e_eval @ i @ p2)) != ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ i @ p1)) = ((paraco2040174112le_Det @ $true)))),
% 0.58/0.42 inference(superposition,[],[f738,f742])).
% 0.58/0.42 thf(f759,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p1)) = ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ i @ p2)) != ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ i @ p1)) = ((paraco876059933e_eval @ i @ p2)))),
% 0.58/0.42 inference(trivial_inequality_removal,[],[f756])).
% 0.58/0.42 thf(f761,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p2)) != ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ i @ p1)) = ((paraco876059933e_eval @ i @ p2)))),
% 0.58/0.42 inference(forward_subsumption_resolution,[],[f759,f713])).
% 0.58/0.42 thf(f762,plain,(
% 0.58/0.42 (((paraco876059933e_eval @ i @ p1)) = ((paraco876059933e_eval @ i @ p2)))),
% 0.58/0.42 inference(forward_subsumption_resolution,[],[f761,f752])).
% 0.58/0.42 thf(f763,plain,(
% 0.58/0.42 $false),
% 0.58/0.42 inference(forward_subsumption_resolution,[],[f762,f749])).
% 0.58/0.42 % SZS output end Proof for theBenchmark
% 0.58/0.42 % (1778021)------------------------------
% 0.58/0.42 % (1778021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1778021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1778021)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1778021)Termination reason: Refutation
% 0.58/0.42 % (1778021)Time elapsed: 0.014 s
% 0.58/0.42 % (1778021)Peak memory usage: 13 MB
% 0.58/0.42 % (1778021)Instructions burned: 52 (million)
% 0.58/0.42 % (1777983)Success in time 0.13 s
% 0.58/0.42 % Vampire exiting
%------------------------------------------------------------------------------