%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT276^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 07:48:41 AM UTC 2026
% Result : Theorem 0.19s 0.31s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT276^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 18:18:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.31 % (2023030)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.31 % (2023037)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1405547606:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.31 % (2023037)Instruction limit reached!
% 0.19/0.31 % (2023037)------------------------------
% 0.19/0.31 % (2023037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (2023037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (2023037)CaDiCaL version: 2.1.3
% 0.19/0.31 % (2023037)Termination reason: Instruction limit
% 0.19/0.31 % (2023037)Termination phase: Saturation
% 0.19/0.31 % (2023037)Time elapsed: 0.002 s
% 0.19/0.31 % (2023037)Peak memory usage: 12 MB
% 0.19/0.31 % (2023037)Instructions burned: 4 (million)
% 0.19/0.31 % (2023036)lrs+10_16_si=on:nwc=1.5:random_seed=2850517870:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.31 % (2023035)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2576459310:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.31 % (2023038)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=3458590132: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)
% 0.19/0.31 % (2023043)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2643907104:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.19/0.31 % (2023043)Instruction limit reached!
% 0.19/0.31 % (2023043)------------------------------
% 0.19/0.31 % (2023043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (2023043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (2023043)CaDiCaL version: 2.1.3
% 0.19/0.31 % (2023043)Termination reason: Instruction limit
% 0.19/0.31 % (2023043)Termination phase: Saturation
% 0.19/0.31 % (2023043)Time elapsed: 0.003 s
% 0.19/0.31 % (2023043)Peak memory usage: 12 MB
% 0.19/0.31 % (2023043)Instructions burned: 8 (million)
% 0.19/0.31 % (2023039)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3717892957:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.31 % (2023036)Instruction limit reached!
% 0.19/0.31 % (2023036)------------------------------
% 0.19/0.31 % (2023036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (2023036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (2023036)CaDiCaL version: 2.1.3
% 0.19/0.31 % (2023036)Termination reason: Instruction limit
% 0.19/0.31 % (2023036)Termination phase: Saturation
% 0.19/0.31 % (2023036)Time elapsed: 0.012 s
% 0.19/0.31 % (2023036)Peak memory usage: 12 MB
% 0.19/0.31 % (2023036)Instructions burned: 19 (million)
% 0.19/0.31 % (2023041)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.31 % (2023041)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
% 0.19/0.31 % (2023040)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=65052426:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.31 % (2023048)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2150225401:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.19/0.31 % (2023048)Instruction limit reached!
% 0.19/0.31 % (2023048)------------------------------
% 0.19/0.31 % (2023048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (2023048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (2023048)CaDiCaL version: 2.1.3
% 0.19/0.31 % (2023048)Termination reason: Instruction limit
% 0.19/0.31 % (2023048)Termination phase: Saturation
% 0.19/0.31 % (2023048)Time elapsed: 0.002 s
% 0.19/0.31 % (2023048)Peak memory usage: 12 MB
% 0.19/0.31 % (2023048)Instructions burned: 5 (million)
% 0.19/0.31 % (2023041)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=1048055874:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.31 % (2023050)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.19/0.31 % (2023050)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=915348759:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.19/0.31 % (2023053)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1331081176:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.19/0.31 % (2023035) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2023030-2023035"...
% 0.19/0.31 % (2023039) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2023030-2023039"...
% 0.19/0.31 % (2023053)Instruction limit reached!
% 0.19/0.31 % (2023053)------------------------------
% 0.19/0.31 % (2023053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (2023053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (2023053)CaDiCaL version: 2.1.3
% 0.19/0.31 % (2023053)Termination reason: Instruction limit
% 0.19/0.31 % (2023053)Termination phase: Saturation
% 0.19/0.31 % (2023053)Time elapsed: 0.004 s
% 0.19/0.31 % (2023053)Peak memory usage: 12 MB
% 0.19/0.31 % (2023053)Instructions burned: 12 (million)
% 0.19/0.31 % (2023050)Instruction limit reached!
% 0.19/0.31 % (2023050)------------------------------
% 0.19/0.31 % (2023050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (2023050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (2023050)CaDiCaL version: 2.1.3
% 0.19/0.31 % (2023050)Termination reason: Instruction limit
% 0.19/0.31 % (2023050)Termination phase: Saturation
% 0.19/0.31 % (2023050)Time elapsed: 0.005 s
% 0.19/0.31 % (2023050)Peak memory usage: 12 MB
% 0.19/0.31 % (2023050)Instructions burned: 8 (million)
% 0.19/0.31 % (2023035)...printing done.
% 0.19/0.31 % (2023035)Refutation found. Thanks to Tanya!
% 0.19/0.31 % SZS status Theorem for theBenchmark
% 0.19/0.31 % SZS output start Proof for theBenchmark
% 0.19/0.31 thf(type_def_5, type, 'type/ind_types/list': $tType > $tType).
% 0.19/0.31 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.31 thf(type_def_7, type, sK0: $tType).
% 0.19/0.31 thf(type_def_8, type, sK1: $tType).
% 0.19/0.31 thf(type_def_9, type, sK2: $tType).
% 0.19/0.31 thf(func_def_0, type, 'const/lists/TL': !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 0.19/0.31 thf(func_def_1, type, 'const/lists/MAP2': !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X1 > 'type/ind_types/list' @ X2))).
% 0.19/0.31 thf(func_def_2, type, 'const/lists/HD': !>[X0: $tType]:(('type/ind_types/list' @ X0 > X0))).
% 0.19/0.31 thf(func_def_3, type, 'const/ind_types/CONS': !>[X0: $tType]:((X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 0.19/0.31 thf(func_def_5, type, sK3: sK2).
% 0.19/0.31 thf(func_def_6, type, sK4: 'type/ind_types/list' @ sK1).
% 0.19/0.31 thf(func_def_7, type, sK5: 'type/ind_types/list' @ sK2).
% 0.19/0.31 thf(func_def_8, type, sK6: sK1).
% 0.19/0.31 thf(func_def_9, type, sK7: (sK1 > sK2 > sK0)).
% 0.19/0.31 thf(f1,axiom,(
% 0.19/0.31 ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : X0] : ((('const/lists/TL' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2))) = X2)),
% 0.19/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/TL_')).
% 0.19/0.31 thf(f2,axiom,(
% 0.19/0.31 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0,X2 : X0] : ((('const/lists/HD' @ X0 @ ('const/ind_types/CONS' @ X0 @ X2 @ X1))) = X2)),
% 0.19/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/HD_')).
% 0.19/0.31 thf(f3,axiom,(
% 0.19/0.31 ! [X0 : $tType,X2 : $tType,X1 : $tType,X6 : 'type/ind_types/list' @ X2,X3 : X1,X4 : (X1 > X2 > X0),X5 : 'type/ind_types/list' @ X1] : ((('const/lists/MAP2' @ X1 @ X2 @ X0 @ X4 @ ('const/ind_types/CONS' @ X1 @ X3 @ X5) @ X6)) = (('const/ind_types/CONS' @ X0 @ (X4 @ X3 @ ('const/lists/HD' @ X2 @ X6)) @ ('const/lists/MAP2' @ X1 @ X2 @ X0 @ X4 @ X5 @ ('const/lists/TL' @ X2 @ X6)))))),
% 0.19/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/MAP2_DEF_1')).
% 0.19/0.31 thf(f4,conjecture,(
% 0.19/0.31 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X1,X7 : 'type/ind_types/list' @ X2,X5 : (X1 > X2 > X0),X6 : 'type/ind_types/list' @ X1,X4 : X2] : ((('const/lists/MAP2' @ X1 @ X2 @ X0 @ X5 @ ('const/ind_types/CONS' @ X1 @ X3 @ X6) @ ('const/ind_types/CONS' @ X2 @ X4 @ X7))) = (('const/ind_types/CONS' @ X0 @ (X5 @ X3 @ X4) @ ('const/lists/MAP2' @ X1 @ X2 @ X0 @ X5 @ X6 @ X7))))),
% 0.19/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/MAP2_1')).
% 0.19/0.31 thf(f5,negated_conjecture,(
% 0.19/0.31 ~ ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X1,X7 : 'type/ind_types/list' @ X2,X5 : (X1 > X2 > X0),X6 : 'type/ind_types/list' @ X1,X4 : X2] : ((('const/lists/MAP2' @ X1 @ X2 @ X0 @ X5 @ ('const/ind_types/CONS' @ X1 @ X3 @ X6) @ ('const/ind_types/CONS' @ X2 @ X4 @ X7))) = (('const/ind_types/CONS' @ X0 @ (X5 @ X3 @ X4) @ ('const/lists/MAP2' @ X1 @ X2 @ X0 @ X5 @ X6 @ X7))))),
% 0.19/0.31 inference(negated_conjecture,[status(cth)],[f4])).
% 0.19/0.31 thf(f6,plain,(
% 0.19/0.31 ~ ! [X2 : $tType,X1 : $tType,X0 : $tType,X5 : (X1 > X2 > X0),X6 : 'type/ind_types/list' @ X1,X3 : X1,X7 : X2,X4 : 'type/ind_types/list' @ X2] : ((('const/ind_types/CONS' @ X0 @ (X5 @ X3 @ X7) @ ('const/lists/MAP2' @ X1 @ X2 @ X0 @ X5 @ X6 @ X4))) = (('const/lists/MAP2' @ X1 @ X2 @ X0 @ X5 @ ('const/ind_types/CONS' @ X1 @ X3 @ X6) @ ('const/ind_types/CONS' @ X2 @ X7 @ X4))))),
% 0.19/0.31 inference(rectify,[],[f5])).
% 0.19/0.31 thf(f7,plain,(
% 0.19/0.31 ! [X1 : $tType,X0 : $tType,X2 : $tType,X6 : 'type/ind_types/list' @ X2,X3 : 'type/ind_types/list' @ X1,X5 : (X2 > X1 > X0),X4 : X2] : ((('const/lists/MAP2' @ X2 @ X1 @ X0 @ X5 @ ('const/ind_types/CONS' @ X2 @ X4 @ X6) @ X3)) = (('const/ind_types/CONS' @ X0 @ (X5 @ X4 @ ('const/lists/HD' @ X1 @ X3)) @ ('const/lists/MAP2' @ X2 @ X1 @ X0 @ X5 @ X6 @ ('const/lists/TL' @ X1 @ X3)))))),
% 0.19/0.31 inference(rectify,[],[f3])).
% 0.19/0.31 thf(f8,plain,(
% 0.19/0.31 ! [X0 : $tType,X2 : X0,X1 : 'type/ind_types/list' @ X0] : ((('const/lists/TL' @ X0 @ ('const/ind_types/CONS' @ X0 @ X2 @ X1))) = X1)),
% 0.19/0.31 inference(rectify,[],[f1])).
% 0.19/0.31 thf(f9,plain,(
% 0.19/0.31 ? [X0 : $tType,X1 : $tType,X2 : $tType,X7 : X2,X6 : 'type/ind_types/list' @ X1,X4 : 'type/ind_types/list' @ X2,X3 : X1,X5 : (X1 > X2 > X0)] : ((('const/ind_types/CONS' @ X0 @ (X5 @ X3 @ X7) @ ('const/lists/MAP2' @ X1 @ X2 @ X0 @ X5 @ X6 @ X4))) != (('const/lists/MAP2' @ X1 @ X2 @ X0 @ X5 @ ('const/ind_types/CONS' @ X1 @ X3 @ X6) @ ('const/ind_types/CONS' @ X2 @ X7 @ X4))))),
% 0.19/0.31 inference(ennf_transformation,[],[f6])).
% 0.19/0.31 thf(f10,plain,(
% 0.19/0.31 ! [X0 : $tType,X1 : X0,X2 : 'type/ind_types/list' @ X0] : ((('const/lists/TL' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2))) = X2)),
% 0.19/0.31 inference(rectify,[],[f8])).
% 0.19/0.31 thf(f11,plain,(
% 0.19/0.31 ? [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2,X4 : 'type/ind_types/list' @ X1,X5 : 'type/ind_types/list' @ X2,X6 : X1,X7 : (X1 > X2 > X0)] : ((('const/lists/MAP2' @ X1 @ X2 @ X0 @ X7 @ ('const/ind_types/CONS' @ X1 @ X6 @ X4) @ ('const/ind_types/CONS' @ X2 @ X3 @ X5))) != (('const/ind_types/CONS' @ X0 @ (X7 @ X6 @ X3) @ ('const/lists/MAP2' @ X1 @ X2 @ X0 @ X7 @ X4 @ X5))))),
% 0.19/0.31 inference(rectify,[],[f9])).
% 0.19/0.31 thf(f12,plain,(
% 0.19/0.31 ((('const/lists/MAP2' @ sK1 @ sK2 @ sK0 @ sK7 @ ('const/ind_types/CONS' @ sK1 @ sK6 @ sK4) @ ('const/ind_types/CONS' @ sK2 @ sK3 @ sK5))) != (('const/ind_types/CONS' @ sK0 @ (sK7 @ sK6 @ sK3) @ ('const/lists/MAP2' @ sK1 @ sK2 @ sK0 @ sK7 @ sK4 @ sK5))))),
% 0.19/0.31 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f11])).
% 0.19/0.31 thf(f13,plain,(
% 0.19/0.31 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : 'type/ind_types/list' @ X2,X4 : 'type/ind_types/list' @ X0,X5 : (X2 > X0 > X1),X6 : X2] : ((('const/ind_types/CONS' @ X1 @ (X5 @ X6 @ ('const/lists/HD' @ X0 @ X4)) @ ('const/lists/MAP2' @ X2 @ X0 @ X1 @ X5 @ X3 @ ('const/lists/TL' @ X0 @ X4)))) = (('const/lists/MAP2' @ X2 @ X0 @ X1 @ X5 @ ('const/ind_types/CONS' @ X2 @ X6 @ X3) @ X4)))),
% 0.19/0.31 inference(rectify,[],[f7])).
% 0.19/0.31 thf(f14,plain,(
% 0.19/0.31 ( ! [X0 : $tType,X2 : X0,X1 : 'type/ind_types/list' @ X0] : (((('const/lists/HD' @ X0 @ ('const/ind_types/CONS' @ X0 @ X2 @ X1))) = X2)) )),
% 0.19/0.31 inference(cnf_transformation,[],[f2])).
% 0.19/0.31 thf(f15,plain,(
% 0.19/0.31 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : X0] : (((('const/lists/TL' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2))) = X2)) )),
% 0.19/0.31 inference(cnf_transformation,[],[f10])).
% 0.19/0.31 thf(f16,plain,(
% 0.19/0.31 ((('const/lists/MAP2' @ sK1 @ sK2 @ sK0 @ sK7 @ ('const/ind_types/CONS' @ sK1 @ sK6 @ sK4) @ ('const/ind_types/CONS' @ sK2 @ sK3 @ sK5))) != (('const/ind_types/CONS' @ sK0 @ (sK7 @ sK6 @ sK3) @ ('const/lists/MAP2' @ sK1 @ sK2 @ sK0 @ sK7 @ sK4 @ sK5))))),
% 0.19/0.31 inference(cnf_transformation,[],[f12])).
% 0.19/0.31 thf(f17,plain,(
% 0.19/0.31 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : 'type/ind_types/list' @ X2,X6 : X2,X4 : 'type/ind_types/list' @ X0,X5 : (X2 > X0 > X1)] : (((('const/ind_types/CONS' @ X1 @ (X5 @ X6 @ ('const/lists/HD' @ X0 @ X4)) @ ('const/lists/MAP2' @ X2 @ X0 @ X1 @ X5 @ X3 @ ('const/lists/TL' @ X0 @ X4)))) = (('const/lists/MAP2' @ X2 @ X0 @ X1 @ X5 @ ('const/ind_types/CONS' @ X2 @ X6 @ X3) @ X4)))) )),
% 0.19/0.31 inference(cnf_transformation,[],[f13])).
% 0.19/0.31 thf(f23,plain,(
% 0.19/0.31 ( ! [X1 : $tType,X3 : $tType,X2 : $tType,X0 : X2,X6 : 'type/ind_types/list' @ X2,X7 : 'type/ind_types/list' @ X3,X4 : (X3 > X2 > X1),X5 : X3] : (((('const/lists/MAP2' @ X3 @ X2 @ X1 @ X4 @ ('const/ind_types/CONS' @ X3 @ X5 @ X7) @ ('const/ind_types/CONS' @ X2 @ X0 @ X6))) = (('const/ind_types/CONS' @ X1 @ (X4 @ X5 @ X0) @ ('const/lists/MAP2' @ X3 @ X2 @ X1 @ X4 @ X7 @ ('const/lists/TL' @ X2 @ ('const/ind_types/CONS' @ X2 @ X0 @ X6))))))) )),
% 0.19/0.31 inference(constrained_superposition,[],[f17,f14])).
% 0.19/0.31 thf(f24,plain,(
% 0.19/0.31 ( ! [X1 : $tType,X3 : $tType,X2 : $tType,X0 : X2,X6 : 'type/ind_types/list' @ X2,X7 : 'type/ind_types/list' @ X3,X4 : (X3 > X2 > X1),X5 : X3] : (((('const/ind_types/CONS' @ X1 @ (X4 @ X5 @ X0) @ ('const/lists/MAP2' @ X3 @ X2 @ X1 @ X4 @ X7 @ X6))) = (('const/lists/MAP2' @ X3 @ X2 @ X1 @ X4 @ ('const/ind_types/CONS' @ X3 @ X5 @ X7) @ ('const/ind_types/CONS' @ X2 @ X0 @ X6))))) )),
% 0.19/0.31 inference(forward_demodulation,[],[f23,f15])).
% 0.19/0.31 thf(f184,plain,(
% 0.19/0.31 ((('const/ind_types/CONS' @ sK0 @ (sK7 @ sK6 @ sK3) @ ('const/lists/MAP2' @ sK1 @ sK2 @ sK0 @ sK7 @ sK4 @ sK5))) != (('const/ind_types/CONS' @ sK0 @ (sK7 @ sK6 @ sK3) @ ('const/lists/MAP2' @ sK1 @ sK2 @ sK0 @ sK7 @ sK4 @ sK5))))),
% 0.19/0.31 inference(constrained_superposition,[],[f16,f24])).
% 0.19/0.31 thf(f186,plain,(
% 0.19/0.31 $false),
% 0.19/0.31 inference(trivial_inequality_removal,[],[f184])).
% 0.19/0.31 % SZS output end Proof for theBenchmark
% 0.19/0.31 % (2023035)------------------------------
% 0.19/0.31 % (2023035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (2023035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (2023035)CaDiCaL version: 2.1.3
% 0.19/0.31 % (2023035)Termination reason: Refutation
% 0.19/0.31 % (2023035)Time elapsed: 0.036 s
% 0.19/0.31 % (2023035)Peak memory usage: 13 MB
% 0.19/0.31 % (2023035)Instructions burned: 57 (million)
% 0.19/0.31 % (2023030)Success in time 0.069 s
% 0.19/0.31 % Vampire exiting
%------------------------------------------------------------------------------