%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT015-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 6.83s 1.73s
% Output : Saturation 6.83s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u26,negated_conjecture,
X0 = X1 ).
cnf(equivalence_implies_existence2,axiom,
( ~ equivalent(X0,X1)
| X0 = X1 ) ).
cnf(u19,axiom,
( f1(X0,X1) != X1
| f1(X0,X1) != X0
| X0 = X1 ) ).
cnf(u27,negated_conjecture,
~ equivalent(X0,X1) ).
cnf(prove_something_exists,negated_conjecture,
~ there_exists(X0) ).
cnf(compose_domain,axiom,
compose(X0,domain(X0)) = 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(u17,axiom,
( f1(X0,X1) = X1
| f1(X0,X1) = X0
| X0 = X1 ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT015-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:14:39 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.83/1.73 % (2662644)Input is clausal, will run a generic CNF schedule.
% 6.83/1.73 % (2662650)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2415643922:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.83/1.73 % (2662651)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3740603332:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.83/1.73 % (2662654)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2287173705:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.83/1.73 % (2662649)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=1688147721:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.83/1.73 % (2662653)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3561645554:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.83/1.73 % (2662655)dis-21_1_sil=8000:lcm=predicate:random_seed=1016367418: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)
% 6.83/1.73 % (2662652)lrs+10_1_sil=8000:sp=occurrence:random_seed=3014901845:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.83/1.73 % (2662652)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662652)------------------------------
% 6.83/1.73 % (2662652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662652)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662652)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662652)Time elapsed: 0.001 s
% 6.83/1.73 % (2662652)Peak memory usage: 86 MB
% 6.83/1.73 % (2662653)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662653)------------------------------
% 6.83/1.73 % (2662653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662653)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662653)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662653)Time elapsed: 0.001 s
% 6.83/1.73 % (2662653)Peak memory usage: 87 MB
% 6.83/1.73 % (2662655)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662655)------------------------------
% 6.83/1.73 % (2662655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662655)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662655)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662655)Time elapsed: 0.001 s
% 6.83/1.73 % (2662655)Peak memory usage: 88 MB
% 6.83/1.73 % (2662654)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662654)------------------------------
% 6.83/1.73 % (2662654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662654)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662654)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662654)Time elapsed: 0.001 s
% 6.83/1.73 % (2662654)Peak memory usage: 87 MB
% 6.83/1.73 % (2662654)Instructions burned: 1 (million)
% 6.83/1.73 % (2662653)------------------------------
% 6.83/1.73 % (2662653)------------------------------
% 6.83/1.73 % (2662655)------------------------------
% 6.83/1.73 % (2662655)------------------------------
% 6.83/1.73 % (2662652)------------------------------
% 6.83/1.73 % (2662652)------------------------------
% 6.83/1.73 % (2662654)------------------------------
% 6.83/1.73 % (2662654)------------------------------
% 6.83/1.73 % (2662650)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662650)------------------------------
% 6.83/1.73 % (2662650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662650)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662650)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662650)Time elapsed: 0.341 s
% 6.83/1.73 % (2662650)Peak memory usage: 127 MB
% 6.83/1.73 % (2662650)Instructions burned: 859 (million)
% 6.83/1.73 % (2662665)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3693503603:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.83/1.73 % (2662663)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=2290925479:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 6.83/1.73 % (2662666)lrs+10_64_to=lpo:sil=8000:random_seed=4080665225:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.83/1.73 % (2662664)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3646330823: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)
% 6.83/1.73 % (2662665)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662665)------------------------------
% 6.83/1.73 % (2662665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662663)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662663)------------------------------
% 6.83/1.73 % (2662663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662663)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662665)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662665)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662665)Time elapsed: 0.002 s
% 6.83/1.73 % (2662665)Peak memory usage: 87 MB
% 6.83/1.73 % (2662665)Instructions burned: 1 (million)
% 6.83/1.73 % (2662663)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662663)Time elapsed: 0.002 s
% 6.83/1.73 % (2662663)Peak memory usage: 87 MB
% 6.83/1.73 % (2662663)Instructions burned: 1 (million)
% 6.83/1.73 % (2662666)First to succeed.
% 6.83/1.73 % (2662664)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662664)------------------------------
% 6.83/1.73 % (2662664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662664)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662664)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662664)Time elapsed: 0.002 s
% 6.83/1.73 % (2662664)Peak memory usage: 88 MB
% 6.83/1.73 % (2662664)Instructions burned: 2 (million)
% 6.83/1.73 % (2662666)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2662644"
% 6.83/1.73 % (2662650)------------------------------
% 6.83/1.73 % (2662650)------------------------------
% 6.83/1.73 % (2662651)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662651)------------------------------
% 6.83/1.73 % (2662651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662651)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662651)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662651)Time elapsed: 0.577 s
% 6.83/1.73 % (2662651)Peak memory usage: 126 MB
% 6.83/1.73 % (2662651)Instructions burned: 862 (million)
% 6.83/1.73 % (2662649)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662649)------------------------------
% 6.83/1.73 % (2662649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662649)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662649)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662649)Time elapsed: 0.579 s
% 6.83/1.73 % (2662649)Peak memory usage: 126 MB
% 6.83/1.73 % (2662649)Instructions burned: 862 (million)
% 6.83/1.73 % (2662671)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=494369821:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 6.83/1.73 % (2662671)Refutation not found, incomplete strategy
% 6.83/1.73 % (2662671)------------------------------
% 6.83/1.73 % (2662671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662671)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662671)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.73 % (2662671)Time elapsed: 0.001 s
% 6.83/1.73 % (2662671)Peak memory usage: 88 MB
% 6.83/1.73 % (2662671)Instructions burned: 1 (million)
% 6.83/1.73 % (2662665)------------------------------
% 6.83/1.73 % (2662665)------------------------------
% 6.83/1.73 % (2662663)------------------------------
% 6.83/1.73 % (2662663)------------------------------
% 6.83/1.73 % (2662664)------------------------------
% 6.83/1.73 % (2662664)------------------------------
% 6.83/1.73 % SZS status Satisfiable for theBenchmark
% 6.83/1.73 % SZS output start Saturation.
% See solution above
% 6.83/1.73 % SZS output start Definitions and Model Updates.
% 6.83/1.73 % SZS output end Definitions and Model Updates.
% 6.83/1.73 % (2662666)------------------------------
% 6.83/1.73 % (2662666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.73 % (2662666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.73 % (2662666)CaDiCaL version: 2.1.3
% 6.83/1.73 % (2662666)Termination reason: Satisfiable
% 6.83/1.73 % (2662666)Time elapsed: 0.002 s
% 6.83/1.73 % (2662666)Peak memory usage: 88 MB
% 6.83/1.73 % (2662666)Instructions burned: 1 (million)
% 6.83/1.73 % (2662666)------------------------------
% 6.83/1.73 % (2662666)------------------------------
% 6.83/1.73 % (2662644)Success in time 0.882 s
% 6.83/1.73 % Vampire exiting
%------------------------------------------------------------------------------