%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT015-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 : Tue Sep 29 09:36:38 AM UTC 2026
% Result : Satisfiable 6.67s 1.72s
% Output : Saturation 6.67s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(equivalence_implies_existence2,axiom,
( ~ equivalent(X0,X1)
| X0 = X1 ) ).
cnf(u16,negated_conjecture,
~ equivalent(X0,X1) ).
cnf(prove_something_exists,negated_conjecture,
~ there_exists(X0) ).
cnf(associativity_of_compose,axiom,
compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2) ).
cnf(compose_codomain,axiom,
compose(codomain(X0),X0) = X0 ).
cnf(compose_domain,axiom,
compose(X0,domain(X0)) = X0 ).
cnf(u17,negated_conjecture,
X0 = X1 ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT015-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:14:00 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.67/1.72 % (3486820)Input is clausal, will run a generic CNF schedule.
% 6.67/1.72 % (3486972)lrs+10_1_sil=8000:sp=occurrence:random_seed=1584347700:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.67/1.72 % (3486972)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486972)------------------------------
% 6.67/1.72 % (3486972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486972)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486972)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486972)Time elapsed: 0.0000 s
% 6.67/1.72 % (3486972)Peak memory usage: 86 MB
% 6.67/1.72 % (3486971)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3307937151:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.67/1.72 % (3486973)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=297729563:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.67/1.72 % (3486970)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4098638494:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.67/1.72 % (3486969)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2119311918:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.67/1.72 % (3486974)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3159504385:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.67/1.72 % (3486975)dis-21_1_sil=8000:lcm=predicate:random_seed=200835151:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.67/1.72 % (3486975)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486975)------------------------------
% 6.67/1.72 % (3486975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486974)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486974)------------------------------
% 6.67/1.72 % (3486974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486975)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486975)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486975)Time elapsed: 0.001 s
% 6.67/1.72 % (3486974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486975)Peak memory usage: 87 MB
% 6.67/1.72 % (3486974)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486974)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486974)Time elapsed: 0.001 s
% 6.67/1.72 % (3486973)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486973)------------------------------
% 6.67/1.72 % (3486973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486974)Peak memory usage: 88 MB
% 6.67/1.72 % (3486973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486973)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486973)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486973)Time elapsed: 0.001 s
% 6.67/1.72 % (3486973)Peak memory usage: 87 MB
% 6.67/1.72 % (3486972)------------------------------
% 6.67/1.72 % (3486972)------------------------------
% 6.67/1.72 % (3486975)------------------------------
% 6.67/1.72 % (3486975)------------------------------
% 6.67/1.72 % (3486973)------------------------------
% 6.67/1.72 % (3486973)------------------------------
% 6.67/1.72 % (3486974)------------------------------
% 6.67/1.72 % (3486974)------------------------------
% 6.67/1.72 % (3486983)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2878336773:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.67/1.72 % (3486983)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486983)------------------------------
% 6.67/1.72 % (3486983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486983)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486983)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486983)Time elapsed: 0.0000 s
% 6.67/1.72 % (3486983)Peak memory usage: 88 MB
% 6.67/1.72 % (3486983)------------------------------
% 6.67/1.72 % (3486983)------------------------------
% 6.67/1.72 % (3486985)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=270264221:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 6.67/1.72 % (3486986)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2382708468:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.67/1.72 % (3486987)lrs+10_64_to=lpo:sil=8000:random_seed=3358687465:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.67/1.72 % (3486986)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486986)------------------------------
% 6.67/1.72 % (3486986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486986)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486986)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486986)Time elapsed: 0.001 s
% 6.67/1.72 % (3486986)Peak memory usage: 87 MB
% 6.67/1.72 % (3486987)First to succeed.
% 6.67/1.72 % (3486985)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486985)------------------------------
% 6.67/1.72 % (3486985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486985)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486985)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486985)Time elapsed: 0.002 s
% 6.67/1.72 % (3486985)Peak memory usage: 88 MB
% 6.67/1.72 % (3486985)Instructions burned: 1 (million)
% 6.67/1.72 % (3486987)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3486820"
% 6.67/1.72 % (3486988)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1858517175:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.67/1.72 % (3486988)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486988)------------------------------
% 6.67/1.72 % (3486988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486988)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486988)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486988)Time elapsed: 0.001 s
% 6.67/1.72 % (3486988)Peak memory usage: 88 MB
% 6.67/1.72 % (3486988)Instructions burned: 1 (million)
% 6.67/1.72 % (3486970)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486970)------------------------------
% 6.67/1.72 % (3486970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486970)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486970)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486970)Time elapsed: 0.588 s
% 6.67/1.72 % (3486970)Peak memory usage: 125 MB
% 6.67/1.72 % (3486970)Instructions burned: 866 (million)
% 6.67/1.72 % (3486971)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486971)------------------------------
% 6.67/1.72 % (3486971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486971)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486971)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486971)Time elapsed: 0.588 s
% 6.67/1.72 % (3486971)Peak memory usage: 125 MB
% 6.67/1.72 % (3486971)Instructions burned: 866 (million)
% 6.67/1.72 % (3486969)Refutation not found, incomplete strategy
% 6.67/1.72 % (3486969)------------------------------
% 6.67/1.72 % (3486969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486969)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486969)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.72 % (3486969)Time elapsed: 0.589 s
% 6.67/1.72 % (3486969)Peak memory usage: 126 MB
% 6.67/1.72 % (3486969)Instructions burned: 868 (million)
% 6.67/1.72 % (3486985)------------------------------
% 6.67/1.72 % (3486985)------------------------------
% 6.67/1.72 % (3486986)------------------------------
% 6.67/1.72 % (3486986)------------------------------
% 6.67/1.72 % SZS status Satisfiable for theBenchmark
% 6.67/1.72 % SZS output start Saturation.
% See solution above
% 6.67/1.72 % SZS output start Definitions and Model Updates.
% 6.67/1.72 % SZS output end Definitions and Model Updates.
% 6.67/1.72 % (3486987)------------------------------
% 6.67/1.72 % (3486987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.72 % (3486987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.72 % (3486987)CaDiCaL version: 2.1.3
% 6.67/1.72 % (3486987)Termination reason: Satisfiable
% 6.67/1.72 % (3486987)Time elapsed: 0.002 s
% 6.67/1.72 % (3486987)Peak memory usage: 88 MB
% 6.67/1.72 % (3486987)Instructions burned: 1 (million)
% 6.67/1.72 % (3486987)------------------------------
% 6.67/1.72 % (3486987)------------------------------
% 6.67/1.72 % (3486820)Success in time 0.856 s
% 6.67/1.72 % Vampire exiting
%------------------------------------------------------------------------------