%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP100^2 : 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 08:08:20 AM UTC 2026
% Result : Theorem 1.10s 0.53s
% Output : Refutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP100^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n002.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 19:56:07 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.21/0.29 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
% 0.47/0.44 % (1766613)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.47/0.44 % (1766619)lrs+10_16_si=on:nwc=1.5:random_seed=2943224966:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.47/0.44 % (1766624)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.47/0.44 % (1766624)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
% 0.47/0.44 % (1766619)Instruction limit reached!
% 0.47/0.44 % (1766619)------------------------------
% 0.47/0.44 % (1766619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (1766619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (1766619)CaDiCaL version: 2.1.3
% 0.47/0.44 % (1766619)Termination reason: Instruction limit
% 0.47/0.44 % (1766619)Termination phase: shuffling
% 0.47/0.44 % (1766619)Time elapsed: 0.005 s
% 0.47/0.44 % (1766619)Peak memory usage: 10 MB
% 0.47/0.44 % (1766619)Instructions burned: 19 (million)
% 0.47/0.44 % (1766620)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=439445823:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.47/0.44 % (1766622)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3777092441:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.47/0.44 % (1766621)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=63437235: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)
% 0.47/0.44 % (1766623)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2503985395:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.47/0.44 % (1766624)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=340732991:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.47/0.44 % (1766620)Instruction limit reached!
% 0.47/0.44 % (1766620)------------------------------
% 0.47/0.44 % (1766620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (1766620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (1766620)CaDiCaL version: 2.1.3
% 0.47/0.44 % (1766620)Termination reason: Instruction limit
% 0.47/0.44 % (1766620)Termination phase: shuffling
% 0.47/0.44 % (1766620)Time elapsed: 0.004 s
% 0.47/0.44 % (1766620)Peak memory usage: 10 MB
% 0.47/0.44 % (1766620)Instructions burned: 8 (million)
% 0.47/0.44 % (1766631)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1646764972:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.47/0.44 % (1766622)Instruction limit reached!
% 0.47/0.44 % (1766622)------------------------------
% 0.47/0.44 % (1766622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (1766622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (1766622)CaDiCaL version: 2.1.3
% 0.47/0.44 % (1766622)Termination reason: Instruction limit
% 0.47/0.44 % (1766622)Termination phase: Property scanning
% 0.47/0.44 % (1766622)Time elapsed: 0.012 s
% 0.47/0.44 % (1766622)Peak memory usage: 10 MB
% 0.47/0.44 % (1766622)Instructions burned: 26 (million)
% 0.47/0.44 % (1766618)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3005306918:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.47/0.44 % (1766631)Instruction limit reached!
% 0.47/0.44 % (1766631)------------------------------
% 0.47/0.44 % (1766631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (1766631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (1766631)CaDiCaL version: 2.1.3
% 0.47/0.44 % (1766631)Termination reason: Instruction limit
% 0.47/0.44 % (1766631)Termination phase: shuffling
% 0.47/0.44 % (1766631)Time elapsed: 0.001 s
% 0.47/0.44 % (1766631)Peak memory usage: 10 MB
% 0.47/0.44 % (1766631)Instructions burned: 4 (million)
% 0.47/0.44 % (1766632)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1087882917:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.10/0.47 % (1766636)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=155863218:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.10/0.47 % (1766632)Instruction limit reached!
% 1.10/0.47 % (1766632)------------------------------
% 1.10/0.47 % (1766632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.47 % (1766632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.47 % (1766632)CaDiCaL version: 2.1.3
% 1.10/0.47 % (1766632)Termination reason: Instruction limit
% 1.10/0.47 % (1766632)Termination phase: shuffling
% 1.10/0.47 % (1766632)Time elapsed: 0.004 s
% 1.10/0.47 % (1766632)Peak memory usage: 10 MB
% 1.10/0.47 % (1766632)Instructions burned: 7 (million)
% 1.10/0.47 % (1766634)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.10/0.47 % (1766636)Instruction limit reached!
% 1.10/0.47 % (1766636)------------------------------
% 1.10/0.47 % (1766636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.47 % (1766636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.47 % (1766636)CaDiCaL version: 2.1.3
% 1.10/0.47 % (1766636)Termination reason: Instruction limit
% 1.10/0.47 % (1766636)Termination phase: shuffling
% 1.10/0.47 % (1766636)Time elapsed: 0.004 s
% 1.10/0.47 % (1766636)Peak memory usage: 10 MB
% 1.10/0.47 % (1766636)Instructions burned: 16 (million)
% 1.10/0.47 % (1766634)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1914028374:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.10/0.47 % (1766634)Instruction limit reached!
% 1.10/0.47 % (1766634)------------------------------
% 1.10/0.47 % (1766634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.47 % (1766634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.47 % (1766634)CaDiCaL version: 2.1.3
% 1.10/0.47 % (1766634)Termination reason: Instruction limit
% 1.10/0.47 % (1766634)Termination phase: shuffling
% 1.10/0.47 % (1766634)Time elapsed: 0.005 s
% 1.10/0.47 % (1766634)Peak memory usage: 10 MB
% 1.10/0.47 % (1766634)Instructions burned: 9 (million)
% 1.10/0.47 % (1766623)Instruction limit reached!
% 1.10/0.47 % (1766623)------------------------------
% 1.10/0.47 % (1766623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.47 % (1766623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.47 % (1766623)CaDiCaL version: 2.1.3
% 1.10/0.47 % (1766623)Termination reason: Instruction limit
% 1.10/0.47 % (1766623)Termination phase: Property scanning
% 1.10/0.47 % (1766623)Time elapsed: 0.038 s
% 1.10/0.47 % (1766623)Peak memory usage: 12 MB
% 1.10/0.47 % (1766623)Instructions burned: 76 (million)
% 1.10/0.47 % (1766640)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=3018263094:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.10/0.47 % (1766639)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
% 1.10/0.47 % (1766639)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.10/0.47 % (1766639)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1855142695:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.10/0.47 % (1766643)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.10/0.47 % (1766642)lrs+10_1_si=on:cs=on:random_seed=1394914883:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.10/0.47 % (1766643)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=2305817155:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.10/0.47 % (1766643)Instruction limit reached!
% 1.10/0.47 % (1766643)------------------------------
% 1.10/0.47 % (1766643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (1766643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (1766643)CaDiCaL version: 2.1.3
% 1.10/0.51 % (1766643)Termination reason: Instruction limit
% 1.10/0.51 % (1766643)Termination phase: shuffling
% 1.10/0.51 % (1766643)Time elapsed: 0.001 s
% 1.10/0.51 % (1766643)Peak memory usage: 10 MB
% 1.10/0.51 % (1766643)Instructions burned: 2 (million)
% 1.10/0.51 % (1766640)Instruction limit reached!
% 1.10/0.51 % (1766640)------------------------------
% 1.10/0.51 % (1766640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (1766640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (1766640)CaDiCaL version: 2.1.3
% 1.10/0.51 % (1766640)Termination reason: Instruction limit
% 1.10/0.51 % (1766640)Termination phase: Preprocessing 1
% 1.10/0.51 % (1766640)Time elapsed: 0.020 s
% 1.10/0.51 % (1766640)Peak memory usage: 11 MB
% 1.10/0.51 % (1766640)Instructions burned: 89 (million)
% 1.10/0.51 % (1766639)Instruction limit reached!
% 1.10/0.51 % (1766639)------------------------------
% 1.10/0.51 % (1766639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (1766639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (1766639)CaDiCaL version: 2.1.3
% 1.10/0.51 % (1766639)Termination reason: Instruction limit
% 1.10/0.51 % (1766639)Termination phase: shuffling
% 1.10/0.51 % (1766639)Time elapsed: 0.013 s
% 1.10/0.51 % (1766639)Peak memory usage: 10 MB
% 1.10/0.51 % (1766639)Instructions burned: 28 (million)
% 1.10/0.51 % (1766642)Instruction limit reached!
% 1.10/0.51 % (1766642)------------------------------
% 1.10/0.51 % (1766642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (1766642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (1766642)CaDiCaL version: 2.1.3
% 1.10/0.51 % (1766642)Termination reason: Instruction limit
% 1.10/0.51 % (1766642)Termination phase: shuffling
% 1.10/0.51 % (1766642)Time elapsed: 0.007 s
% 1.10/0.51 % (1766642)Peak memory usage: 10 MB
% 1.10/0.51 % (1766642)Instructions burned: 14 (million)
% 1.10/0.51 % (1766649)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3582320927:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.10/0.51 % (1766624)Instruction limit reached!
% 1.10/0.51 % (1766624)------------------------------
% 1.10/0.51 % (1766624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (1766624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (1766624)CaDiCaL version: 2.1.3
% 1.10/0.51 % (1766624)Termination reason: Instruction limit
% 1.10/0.51 % (1766624)Termination phase: Saturation
% 1.10/0.51 % (1766624)Time elapsed: 0.075 s
% 1.10/0.51 % (1766624)Peak memory usage: 14 MB
% 1.10/0.51 % (1766624)Instructions burned: 158 (million)
% 1.10/0.51 % (1766648)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1658353784:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.10/0.51 % (1766650)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1307487895:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.10/0.51 % (1766651)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2167825684:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.10/0.51 % (1766618)Instruction limit reached!
% 1.10/0.51 % (1766618)------------------------------
% 1.10/0.51 % (1766618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (1766618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (1766618)CaDiCaL version: 2.1.3
% 1.10/0.51 % (1766618)Termination reason: Instruction limit
% 1.10/0.51 % (1766618)Termination phase: Property scanning
% 1.10/0.51 % (1766618)Time elapsed: 0.077 s
% 1.10/0.51 % (1766618)Peak memory usage: 12 MB
% 1.10/0.51 % (1766618)Instructions burned: 88 (million)
% 1.10/0.51 % (1766649)Refutation not found, incomplete strategy
% 1.10/0.51 % (1766649)------------------------------
% 1.10/0.51 % (1766649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (1766649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (1766649)CaDiCaL version: 2.1.3
% 1.10/0.51 % (1766649)Termination reason: Refutation not found, incomplete strategy
% 1.10/0.53 % (1766649)Time elapsed: 0.018 s
% 1.10/0.53 % (1766651)Instruction limit reached!
% 1.10/0.53 % (1766651)------------------------------
% 1.10/0.53 % (1766651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766649)Peak memory usage: 13 MB
% 1.10/0.53 % (1766651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766649)Instructions burned: 71 (million)
% 1.10/0.53 % (1766651)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766651)Termination reason: Instruction limit
% 1.10/0.53 % (1766651)Termination phase: shuffling
% 1.10/0.53 % (1766651)Time elapsed: 0.008 s
% 1.10/0.53 % (1766651)Peak memory usage: 10 MB
% 1.10/0.53 % (1766651)Instructions burned: 15 (million)
% 1.10/0.53 % (1766649)------------------------------
% 1.10/0.53 % (1766649)------------------------------
% 1.10/0.53 % (1766650)Instruction limit reached!
% 1.10/0.53 % (1766650)------------------------------
% 1.10/0.53 % (1766650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766650)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766650)Termination reason: Instruction limit
% 1.10/0.53 % (1766650)Termination phase: Property scanning
% 1.10/0.53 % (1766650)Time elapsed: 0.012 s
% 1.10/0.53 % (1766650)Peak memory usage: 10 MB
% 1.10/0.53 % (1766650)Instructions burned: 27 (million)
% 1.10/0.53 % (1766653)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2185114306:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.10/0.53 % (1766648)Instruction limit reached!
% 1.10/0.53 % (1766648)------------------------------
% 1.10/0.53 % (1766648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766648)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766648)Termination reason: Instruction limit
% 1.10/0.53 % (1766648)Termination phase: Preprocessing 3
% 1.10/0.53 % (1766648)Time elapsed: 0.021 s
% 1.10/0.53 % (1766648)Peak memory usage: 11 MB
% 1.10/0.53 % (1766648)Instructions burned: 43 (million)
% 1.10/0.53 % (1766661)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4116065843:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.10/0.53 % (1766658)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4249010780:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.10/0.53 % (1766661)Instruction limit reached!
% 1.10/0.53 % (1766661)------------------------------
% 1.10/0.53 % (1766661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766661)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766661)Termination reason: Instruction limit
% 1.10/0.53 % (1766661)Termination phase: Property scanning
% 1.10/0.53 % (1766661)Time elapsed: 0.007 s
% 1.10/0.53 % (1766661)Peak memory usage: 10 MB
% 1.10/0.53 % (1766661)Instructions burned: 26 (million)
% 1.10/0.53 % (1766658)Instruction limit reached!
% 1.10/0.53 % (1766658)------------------------------
% 1.10/0.53 % (1766658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766658)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766658)Termination reason: Instruction limit
% 1.10/0.53 % (1766658)Termination phase: shuffling
% 1.10/0.53 % (1766658)Time elapsed: 0.003 s
% 1.10/0.53 % (1766658)Peak memory usage: 10 MB
% 1.10/0.53 % (1766658)Instructions burned: 5 (million)
% 1.10/0.53 % (1766660)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=517401203:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.10/0.53 % (1766662)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4092767157:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.10/0.53 % (1766665)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.10/0.53 % (1766665)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.10/0.53 % (1766657)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=584329910:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.10/0.53 % (1766665)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3198302406:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.10/0.53 % (1766660)Instruction limit reached!
% 1.10/0.53 % (1766660)------------------------------
% 1.10/0.53 % (1766660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766660)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766660)Termination reason: Instruction limit
% 1.10/0.53 % (1766660)Termination phase: shuffling
% 1.10/0.53 % (1766660)Time elapsed: 0.013 s
% 1.10/0.53 % (1766660)Peak memory usage: 10 MB
% 1.10/0.53 % (1766660)Instructions burned: 27 (million)
% 1.10/0.53 % (1766665)Instruction limit reached!
% 1.10/0.53 % (1766665)------------------------------
% 1.10/0.53 % (1766665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766665)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766665)Termination reason: Instruction limit
% 1.10/0.53 % (1766665)Termination phase: shuffling
% 1.10/0.53 % (1766665)Time elapsed: 0.004 s
% 1.10/0.53 % (1766665)Peak memory usage: 10 MB
% 1.10/0.53 % (1766665)Instructions burned: 15 (million)
% 1.10/0.53 % (1766667)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.10/0.53 % (1766667)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2071129604:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.10/0.53 % (1766657)Instruction limit reached!
% 1.10/0.53 % (1766657)------------------------------
% 1.10/0.53 % (1766657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766657)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766657)Termination reason: Instruction limit
% 1.10/0.53 % (1766657)Termination phase: shuffling
% 1.10/0.53 % (1766657)Time elapsed: 0.011 s
% 1.10/0.53 % (1766657)Peak memory usage: 10 MB
% 1.10/0.53 % (1766657)Instructions burned: 14 (million)
% 1.10/0.53 % (1766667)Instruction limit reached!
% 1.10/0.53 % (1766667)------------------------------
% 1.10/0.53 % (1766667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766667)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766667)Termination reason: Instruction limit
% 1.10/0.53 % (1766667)Termination phase: shuffling
% 1.10/0.53 % (1766667)Time elapsed: 0.004 s
% 1.10/0.53 % (1766667)Peak memory usage: 10 MB
% 1.10/0.53 % (1766667)Instructions burned: 8 (million)
% 1.10/0.53 % (1766672)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1719316965:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.10/0.53 % (1766672)Instruction limit reached!
% 1.10/0.53 % (1766672)------------------------------
% 1.10/0.53 % (1766672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766672)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766672)Termination reason: Instruction limit
% 1.10/0.53 % (1766672)Termination phase: shuffling
% 1.10/0.53 % (1766672)Time elapsed: 0.009 s
% 1.10/0.53 % (1766672)Peak memory usage: 10 MB
% 1.10/0.53 % (1766672)Instructions burned: 35 (million)
% 1.10/0.53 % (1766673)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=962594531:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.10/0.53 % (1766662)Instruction limit reached!
% 1.10/0.53 % (1766662)------------------------------
% 1.10/0.53 % (1766662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766662)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766662)Termination reason: Instruction limit
% 1.10/0.53 % (1766662)Termination phase: Preprocessing 3
% 1.10/0.53 % (1766662)Time elapsed: 0.040 s
% 1.10/0.53 % (1766662)Peak memory usage: 11 MB
% 1.10/0.53 % (1766662)Instructions burned: 61 (million)
% 1.10/0.53 % (1766673)Instruction limit reached!
% 1.10/0.53 % (1766673)------------------------------
% 1.10/0.53 % (1766673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766673)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766673)Termination reason: Instruction limit
% 1.10/0.53 % (1766673)Termination phase: shuffling
% 1.10/0.53 % (1766673)Time elapsed: 0.003 s
% 1.10/0.53 % (1766673)Peak memory usage: 10 MB
% 1.10/0.53 % (1766673)Instructions burned: 8 (million)
% 1.10/0.53 % (1766678)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2110889028:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.10/0.53 % (1766675)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3904920778:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.10/0.53 % (1766676)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3186781204:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.10/0.53 % (1766653) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1766613-1766653"...
% 1.10/0.53 % (1766653)...printing done.
% 1.10/0.53 % (1766653)Refutation found. Thanks to Tanya!
% 1.10/0.53 % SZS status Theorem for theBenchmark
% 1.10/0.53 % SZS output start Proof for theBenchmark
% 1.10/0.53 thf(type_def_5, type, list: $tType > $tType).
% 1.10/0.53 thf(type_def_6, type, set: $tType > $tType).
% 1.10/0.53 thf(type_def_7, type, nat: $tType).
% 1.10/0.53 thf(type_def_8, type, a: $tType).
% 1.10/0.53 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.10/0.53 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.10/0.53 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 1.10/0.53 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 1.10/0.53 thf(func_def_3, type, linorder: !>[X0: $tType]:($o)).
% 1.10/0.53 thf(func_def_4, type, preorder: !>[X0: $tType]:($o)).
% 1.10/0.53 thf(func_def_5, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 1.10/0.53 thf(func_def_6, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 1.10/0.53 thf(func_def_7, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 1.10/0.53 thf(func_def_8, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.10/0.53 thf(func_def_9, type, list_asc: !>[X0: $tType]:((list @ X0 > $o))).
% 1.10/0.53 thf(func_def_10, type, list_ord: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_11, type, list_strict_asc: !>[X0: $tType]:((list @ X0 > $o))).
% 1.10/0.53 thf(func_def_12, type, map2: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > list @ X0 > list @ X1 > list @ X2))).
% 1.10/0.53 thf(func_def_13, type, listIn521021761append: !>[X0: $tType]:((list @ X0 > (nat > X0) > nat > X0))).
% 1.10/0.53 thf(func_def_14, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_15, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_16, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 1.10/0.53 thf(func_def_17, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_18, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_19, type, distinct_adj: !>[X0: $tType]:((list @ X0 > $o))).
% 1.10/0.53 thf(func_def_20, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 1.10/0.53 thf(func_def_21, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_22, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_23, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_24, type, nil: !>[X0: $tType]:(list @ X0)).
% 1.10/0.53 thf(func_def_25, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 1.10/0.53 thf(func_def_26, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_27, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_28, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_29, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 1.10/0.53 thf(func_def_30, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 1.10/0.53 thf(func_def_31, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 1.10/0.53 thf(func_def_32, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_33, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_34, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_35, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_36, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.10/0.53 thf(func_def_37, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_38, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_39, type, shuffles: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ list @ X0))).
% 1.10/0.53 thf(func_def_40, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_41, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 1.10/0.53 thf(func_def_42, type, successively: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_43, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 1.10/0.53 thf(func_def_44, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_45, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.10/0.53 thf(func_def_46, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.10/0.53 thf(func_def_47, type, f: (nat > a)).
% 1.10/0.53 thf(func_def_48, type, x: a).
% 1.10/0.53 thf(func_def_49, type, xs: list @ a).
% 1.10/0.53 thf(func_def_51, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_54, type, vOR: ($o > $o > $o)).
% 1.10/0.53 thf(func_def_55, type, vAND: ($o > $o > $o)).
% 1.10/0.53 thf(func_def_56, type, vNOT: ($o > $o)).
% 1.10/0.53 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.10/0.53 thf(func_def_58, type, db0: !>[X0: $tType]:(X0)).
% 1.10/0.53 thf(func_def_59, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.10/0.53 thf(func_def_60, type, db1: !>[X0: $tType]:(X0)).
% 1.10/0.53 thf(func_def_61, type, db5: !>[X0: $tType]:(X0)).
% 1.10/0.53 thf(func_def_62, type, db6: !>[X0: $tType]:(X0)).
% 1.10/0.53 thf(func_def_63, type, db2: !>[X0: $tType]:(X0)).
% 1.10/0.53 thf(func_def_64, type, db3: !>[X0: $tType]:(X0)).
% 1.10/0.53 thf(func_def_65, type, db4: !>[X0: $tType]:(X0)).
% 1.10/0.53 thf(func_def_66, type, vIMP: ($o > $o > $o)).
% 1.10/0.53 thf(func_def_67, type, sP0: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_68, type, sP1: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 1.10/0.53 thf(func_def_69, type, sP2: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > $o))).
% 1.10/0.53 thf(func_def_70, type, sP3: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_71, type, sP4: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_72, type, sP5: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_73, type, sP6: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_74, type, sP7: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 1.10/0.53 thf(func_def_75, type, sP8: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 1.10/0.53 thf(func_def_76, type, sK9: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_77, type, sK10: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_78, type, sK11: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_79, type, sK12: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_80, type, sK13: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_81, type, sK14: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 1.10/0.53 thf(func_def_82, type, sK15: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_83, type, sK16: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.10/0.53 thf(func_def_84, type, sK17: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_85, type, sK18: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_86, type, sK19: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_87, type, sK20: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 1.10/0.53 thf(func_def_88, type, sK21: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.10/0.53 thf(func_def_89, type, sK22: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_90, type, sK23: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_91, type, sK24: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_92, type, sK25: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_93, type, sK26: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_94, type, sK27: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_95, type, sK28: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_96, type, sK29: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_97, type, sK30: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_98, type, sK31: !>[X0: $tType]:(($o > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_99, type, sK32: !>[X0: $tType]:(($o > (X0 > X0 > $o) > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_100, type, sK33: !>[X0: $tType]:(($o > (X0 > X0 > $o) > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_101, type, sK34: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_102, type, sK35: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_103, type, sK36: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_104, type, sK37: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_105, type, sK38: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_106, type, sK39: !>[X0: $tType]:(X0)).
% 1.10/0.53 thf(func_def_107, type, sK40: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_108, type, sK41: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_109, type, sK42: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_110, type, sK43: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_111, type, sK44: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_112, type, sK45: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_113, type, sK46: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_114, type, sK47: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_115, type, sK48: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_116, type, sK49: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_117, type, sK50: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_118, type, sK51: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_119, type, sK52: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_120, type, sK53: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_121, type, sK54: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_122, type, sK55: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_123, type, sK56: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_124, type, sK57: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_125, type, sK58: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_126, type, sK59: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_127, type, sK60: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_128, type, sK61: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_129, type, sK62: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_130, type, sK63: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_131, type, sK64: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_132, type, sK65: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_133, type, sK66: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_134, type, sK67: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_135, type, sK68: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_136, type, sK69: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_137, type, sK70: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_138, type, sK71: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_139, type, sK72: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_140, type, sK73: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_141, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X2 > list @ X0 > $o) > list @ X1))).
% 1.10/0.53 thf(func_def_142, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X2 > list @ X0 > $o) > list @ X2))).
% 1.10/0.53 thf(func_def_143, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X2 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_144, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X2 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_145, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X2 > list @ X0 > $o) > X1))).
% 1.10/0.53 thf(func_def_146, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X1 > list @ X2 > list @ X0 > $o) > X2))).
% 1.10/0.53 thf(func_def_147, type, sK80: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_148, type, sK81: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_149, type, sK82: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_150, type, sK83: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_151, type, sK84: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_152, type, sK85: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_153, type, sK86: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_154, type, sK87: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_155, type, sK88: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_156, type, sK89: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_157, type, sK90: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_158, type, sK91: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_159, type, sK92: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.10/0.53 thf(func_def_160, type, sK93: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 1.10/0.53 thf(func_def_161, type, sK94: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.10/0.53 thf(func_def_162, type, sK95: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.10/0.53 thf(func_def_163, type, sK96: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.10/0.53 thf(func_def_164, type, sK97: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.10/0.53 thf(func_def_165, type, sK98: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.10/0.53 thf(func_def_166, type, sK99: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_167, type, sK100: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_168, type, sK101: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_169, type, sK102: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_170, type, sK103: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_171, type, sK104: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_172, type, sK105: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_173, type, sK106: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_174, type, sK107: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_175, type, sK108: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_176, type, sK109: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_177, type, sK110: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_178, type, sK111: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_179, type, sK112: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_180, type, sK113: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_181, type, sK114: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_182, type, sK115: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_183, type, sK116: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_184, type, sK117: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_185, type, sK118: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_186, type, sK119: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_187, type, sK120: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_188, type, sK121: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_189, type, sK122: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_190, type, sK123: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_191, type, sK124: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_192, type, sK125: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_193, type, sK126: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_194, type, sK127: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_195, type, sK128: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_196, type, sK129: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.10/0.53 thf(func_def_197, type, sK130: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_198, type, sK131: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_199, type, sK132: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_200, type, sK133: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_201, type, sK134: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_202, type, sK135: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_203, type, sK136: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_204, type, sK137: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_205, type, sK138: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_206, type, sK139: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_207, type, sK140: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_208, type, sK141: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_209, type, sK142: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_210, type, sK143: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_211, type, sK144: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_212, type, sK145: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.10/0.53 thf(func_def_213, type, sK146: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 1.10/0.53 thf(func_def_214, type, sK147: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_215, type, sK148: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_216, type, sK149: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_217, type, sK150: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_218, type, sK151: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_219, type, sK152: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_220, type, sK153: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_221, type, sK154: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_222, type, sK155: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_223, type, sK156: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_224, type, sK157: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_225, type, sK158: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_226, type, sK159: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_227, type, sK160: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_228, type, sK161: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_229, type, sK162: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_230, type, sK163: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_231, type, sK164: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_232, type, sK165: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_233, type, sK166: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_234, type, sK167: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_235, type, sK168: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_236, type, sK169: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_237, type, sK170: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_238, type, sK171: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_239, type, sK172: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_240, type, sK173: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.10/0.53 thf(func_def_241, type, sK174: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_242, type, sK175: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_243, type, sK176: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_244, type, sK177: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_245, type, sK178: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_246, type, sK179: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_247, type, sK180: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_248, type, sK181: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_249, type, sK182: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_250, type, sK183: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_251, type, sK184: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_252, type, sK185: !>[X0: $tType]:(((X0 > X0 > $o) > $o > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_253, type, sK186: !>[X0: $tType]:(((X0 > X0 > $o) > $o > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_254, type, sK187: !>[X0: $tType]:(((X0 > X0 > $o) > $o > list @ X0 > X0))).
% 1.10/0.53 thf(func_def_255, type, sK188: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_256, type, sK189: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 1.10/0.53 thf(func_def_257, type, sK190: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.10/0.53 thf(func_def_258, type, sK191: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.10/0.53 thf(func_def_259, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > X1))).
% 1.10/0.53 thf(func_def_260, type, sK193: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > list @ X2))).
% 1.10/0.53 thf(func_def_261, type, sK194: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > X2))).
% 1.10/0.53 thf(func_def_262, type, sK195: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_263, type, sK196: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_264, type, sK197: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > X3))).
% 1.10/0.53 thf(func_def_265, type, sK198: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > list @ X3))).
% 1.10/0.53 thf(func_def_266, type, sK199: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((list @ X3 > list @ X1 > list @ X2 > list @ X0 > $o) > list @ X1))).
% 1.10/0.53 thf(func_def_267, type, sK200: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_268, type, sK201: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_269, type, sK202: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_270, type, sK203: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_271, type, sK204: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_272, type, sK205: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_273, type, sK206: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_274, type, sK207: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_275, type, sK208: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_276, type, sK209: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_277, type, sK210: !>[X0: $tType]:(X0)).
% 1.10/0.53 thf(func_def_278, type, sK211: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_279, type, sK212: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_280, type, sK213: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_281, type, sK214: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1 > X0))).
% 1.10/0.53 thf(func_def_282, type, sK215: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1))).
% 1.10/0.53 thf(func_def_283, type, sK216: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.10/0.53 thf(func_def_284, type, sK217: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1 > X0))).
% 1.10/0.53 thf(func_def_285, type, sK218: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_286, type, sK219: !>[X0: $tType]:((nat > list @ X0))).
% 1.10/0.53 thf(func_def_287, type, sK220: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.10/0.53 thf(func_def_288, type, sK221: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.10/0.53 thf(func_def_289, type, sK222: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_290, type, sK223: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 1.10/0.53 thf(func_def_291, type, sK224: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 1.10/0.53 thf(func_def_292, type, sK225: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_293, type, sK226: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_294, type, sK227: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_295, type, sK228: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_296, type, sK229: !>[X0: $tType]:((list @ X0 > X0))).
% 1.10/0.53 thf(func_def_297, type, sK230: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.10/0.53 thf(func_def_298, type, sK231: nat).
% 1.10/0.53 thf(func_def_299, type, sK232: nat).
% 1.10/0.53 thf(f85,axiom,(
% 1.10/0.53 ! [X0 : $tType,X3 : (nat > X0),X2 : list @ X0,X1 : list @ X0] : (((listIn521021761append @ X0 @ X1 @ (listIn521021761append @ X0 @ X2 @ X3))) = ((listIn521021761append @ X0 @ (append @ X0 @ X1 @ X2) @ X3)))),
% 1.10/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_i__append__assoc)).
% 1.10/0.53 thf(f104,axiom,(
% 1.10/0.53 ! [X0 : $tType,X2 : list @ X0,X1 : X0] : (((append @ X0 @ (cons @ X0 @ X1 @ nil @ X0) @ X2)) = ((cons @ X0 @ X1 @ X2)))),
% 1.10/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_append__eq__Cons)).
% 1.10/0.53 thf(f273,conjecture,(
% 1.10/0.53 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) = ((listIn521021761append @ a @ (cons @ a @ x @ nil @ a) @ (listIn521021761append @ a @ xs @ f))))),
% 1.10/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.10/0.53 thf(f274,negated_conjecture,(
% 1.10/0.53 ~ (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) = ((listIn521021761append @ a @ (cons @ a @ x @ nil @ a) @ (listIn521021761append @ a @ xs @ f))))),
% 1.10/0.53 inference(negated_conjecture,[status(cth)],[f273])).
% 1.10/0.53 thf(f615,plain,(
% 1.10/0.53 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) != ((listIn521021761append @ a @ (cons @ a @ x @ nil @ a) @ (listIn521021761append @ a @ xs @ f))))),
% 1.10/0.53 inference(flattening,[],[f274])).
% 1.10/0.53 thf(f625,plain,(
% 1.10/0.53 ! [X0 : $tType,X2 : X0,X1 : list @ X0] : (((cons @ X0 @ X2 @ X1)) = ((append @ X0 @ (cons @ X0 @ X2 @ nil @ X0) @ X1)))),
% 1.10/0.53 inference(rectify,[],[f104])).
% 1.10/0.53 thf(f944,plain,(
% 1.10/0.53 ! [X0 : $tType,X1 : X0,X2 : list @ X0] : (((cons @ X0 @ X1 @ X2)) = ((append @ X0 @ (cons @ X0 @ X1 @ nil @ X0) @ X2)))),
% 1.10/0.53 inference(rectify,[],[f625])).
% 1.10/0.53 thf(f966,plain,(
% 1.10/0.53 ! [X0 : $tType,X1 : (nat > X0),X2 : list @ X0,X3 : list @ X0] : (((listIn521021761append @ X0 @ X3 @ (listIn521021761append @ X0 @ X2 @ X1))) = ((listIn521021761append @ X0 @ (append @ X0 @ X3 @ X2) @ X1)))),
% 1.10/0.53 inference(rectify,[],[f85])).
% 1.10/0.53 thf(f1211,plain,(
% 1.10/0.53 ( ! [X0 : $tType,X2 : list @ X0,X1 : X0] : ((((cons @ X0 @ X1 @ X2)) = ((append @ X0 @ (cons @ X0 @ X1 @ nil @ X0) @ X2)))) )),
% 1.10/0.53 inference(cnf_transformation,[],[f944])).
% 1.10/0.53 thf(f1249,plain,(
% 1.10/0.53 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) != ((listIn521021761append @ a @ (cons @ a @ x @ nil @ a) @ (listIn521021761append @ a @ xs @ f))))),
% 1.10/0.53 inference(cnf_transformation,[],[f615])).
% 1.10/0.53 thf(f1252,plain,(
% 1.10/0.53 ( ! [X0 : $tType,X2 : list @ X0,X3 : list @ X0,X1 : (nat > X0)] : ((((listIn521021761append @ X0 @ X3 @ (listIn521021761append @ X0 @ X2 @ X1))) = ((listIn521021761append @ X0 @ (append @ X0 @ X3 @ X2) @ X1)))) )),
% 1.10/0.53 inference(cnf_transformation,[],[f966])).
% 1.10/0.53 thf(f2022,plain,(
% 1.10/0.53 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f)) != ((listIn521021761append @ a @ (append @ a @ (cons @ a @ x @ nil @ a) @ xs) @ f)))),
% 1.10/0.53 inference(superposition,[],[f1249,f1252])).
% 1.10/0.53 thf(f2038,plain,(
% 1.10/0.53 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f @ sK232)) != ((listIn521021761append @ a @ (append @ a @ (cons @ a @ x @ nil @ a) @ xs) @ f @ sK232)))),
% 1.10/0.53 inference(negative_extensionality,[],[f2022])).
% 1.10/0.53 thf(f2146,plain,(
% 1.10/0.53 (((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f @ sK232)) != ((listIn521021761append @ a @ (cons @ a @ x @ xs) @ f @ sK232)))),
% 1.10/0.53 inference(superposition,[],[f2038,f1211])).
% 1.10/0.53 thf(f2148,plain,(
% 1.10/0.53 $false),
% 1.10/0.53 inference(trivial_inequality_removal,[],[f2146])).
% 1.10/0.53 % SZS output end Proof for theBenchmark
% 1.10/0.53 % (1766653)------------------------------
% 1.10/0.53 % (1766653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1766653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1766653)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1766653)Termination reason: Refutation
% 1.10/0.53 % (1766653)Time elapsed: 0.080 s
% 1.10/0.53 % (1766653)Peak memory usage: 14 MB
% 1.10/0.53 % (1766653)Instructions burned: 163 (million)
% 1.10/0.53 % (1766613)Success in time 0.231 s
% 1.10/0.53 % Vampire exiting
%------------------------------------------------------------------------------