%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN335-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:50:15 PM UTC 2026
% Result : Satisfiable 3.47s 1.27s
% Output : Saturation 3.47s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u23,negated_conjecture,
( f(z(X0,X1),z(X0,X1))
| ~ g(X0,X1) ) ).
cnf(clause12,negated_conjecture,
( ~ f(z(X0,X1),X1)
| ~ f(X1,X0) ) ).
cnf(clause5,negated_conjecture,
( ~ g(z(X0,X1),z(X0,X1))
| f(z(X0,X1),z(X0,X1))
| ~ g(X0,X1) ) ).
cnf(u19,negated_conjecture,
( f(X0,z(X1,X0))
| ~ g(X1,X0)
| f(X0,X1) ) ).
cnf(clause4,negated_conjecture,
( ~ g(z(X0,X1),z(X0,X1))
| f(X0,X1) ) ).
cnf(u14,negated_conjecture,
( g(X0,X1)
| f(X0,X1) ) ).
cnf(clause7,negated_conjecture,
( ~ f(z(X0,X1),z(X0,X1))
| g(X0,X1) ) ).
cnf(clause9,negated_conjecture,
( g(X1,z(X0,X1))
| g(X0,X1) ) ).
cnf(clause6,negated_conjecture,
( g(z(X0,X1),z(X0,X1))
| g(X0,X1) ) ).
cnf(clause8,negated_conjecture,
( ~ g(X1,z(X0,X1))
| f(X1,X0)
| ~ g(X0,X1) ) ).
cnf(clause1,negated_conjecture,
f(X0,z(X0,X1)) ).
cnf(u26,negated_conjecture,
( g(z(X0,X1),z(X0,X1))
| ~ f(X0,X1) ) ).
cnf(clause11,negated_conjecture,
( f(z(X0,X1),X1)
| f(X1,X0) ) ).
cnf(clause10,negated_conjecture,
( g(X0,z(X1,X0))
| ~ f(X0,X1) ) ).
cnf(clause3,negated_conjecture,
( f(z(X0,X1),z(X0,X1))
| f(X0,X1) ) ).
cnf(clause2,negated_conjecture,
( ~ f(z(X0,X1),z(X0,X1))
| g(z(X0,X1),z(X0,X1))
| ~ f(X0,X1) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN335-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.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
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:48:12 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.47/1.27 % (3967617)Input is clausal, will run a generic CNF schedule.
% 3.47/1.27 % (3967626)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1524333315:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.27 % (3967626)Refutation not found, incomplete strategy
% 3.47/1.27 % (3967626)------------------------------
% 3.47/1.27 % (3967626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.27 % (3967626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.27 % (3967626)CaDiCaL version: 2.1.3
% 3.47/1.27 % (3967626)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.27 % (3967626)Time elapsed: 0.001 s
% 3.47/1.27 % (3967626)Peak memory usage: 87 MB
% 3.47/1.27 % (3967627)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2999846660:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.27 % (3967625)lrs+10_1_sil=8000:sp=occurrence:random_seed=2081628049:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.27 % (3967622)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=435186581:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.27 % (3967623)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1612040102:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.27 % (3967624)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4182717728:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.27 % (3967625)First to succeed.
% 3.47/1.27 % (3967625)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3967617"
% 3.47/1.27 % (3967628)dis-21_1_sil=8000:lcm=predicate:random_seed=2611353130: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)
% 3.47/1.27 % (3967628)Instruction limit reached!
% 3.47/1.27 % (3967628)------------------------------
% 3.47/1.27 % (3967628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.27 % (3967628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.27 % (3967628)CaDiCaL version: 2.1.3
% 3.47/1.27 % (3967628)Termination reason: Instruction limit
% 3.47/1.27 % (3967628)Termination phase: Saturation
% 3.47/1.27 % (3967628)Time elapsed: 0.062 s
% 3.47/1.27 % (3967628)Peak memory usage: 87 MB
% 3.47/1.27 % (3967628)Instructions burned: 119 (million)
% 3.47/1.27 % (3967627)Instruction limit reached!
% 3.47/1.27 % (3967627)------------------------------
% 3.47/1.27 % (3967627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.27 % (3967627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.27 % (3967627)CaDiCaL version: 2.1.3
% 3.47/1.27 % (3967627)Termination reason: Instruction limit
% 3.47/1.27 % (3967627)Termination phase: Saturation
% 3.47/1.27 % (3967627)Time elapsed: 0.096 s
% 3.47/1.27 % (3967627)Peak memory usage: 89 MB
% 3.47/1.27 % (3967627)Instructions burned: 181 (million)
% 3.47/1.27 % (3967626)------------------------------
% 3.47/1.27 % (3967626)------------------------------
% 3.47/1.27 % (3967638)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2289787062:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.47/1.27 % (3967638)Refutation not found, incomplete strategy
% 3.47/1.27 % (3967638)------------------------------
% 3.47/1.27 % (3967638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.27 % (3967638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.27 % (3967638)CaDiCaL version: 2.1.3
% 3.47/1.27 % (3967638)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.27 % (3967638)Time elapsed: 0.001 s
% 3.47/1.27 % (3967638)Peak memory usage: 87 MB
% 3.47/1.27 % (3967637)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3520662723:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.47/1.27 % (3967636)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=2825408765:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.27 % (3967636)Refutation not found, incomplete strategy
% 3.47/1.27 % (3967636)------------------------------
% 3.47/1.27 % (3967636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.27 % (3967636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.27 % (3967636)CaDiCaL version: 2.1.3
% 3.47/1.27 % (3967636)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.27 % (3967636)Time elapsed: 0.001 s
% 3.47/1.27 % (3967636)Peak memory usage: 87 MB
% 3.47/1.27 % (3967636)Instructions burned: 1 (million)
% 3.47/1.27 % SZS status Satisfiable for theBenchmark
% 3.47/1.27 % SZS output start Saturation.
% See solution above
% 3.47/1.27 % SZS output start Definitions and Model Updates.
% 3.47/1.27 % SZS output end Definitions and Model Updates.
% 3.47/1.27 % (3967625)------------------------------
% 3.47/1.27 % (3967625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.27 % (3967625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.27 % (3967625)CaDiCaL version: 2.1.3
% 3.47/1.27 % (3967625)Termination reason: Satisfiable
% 3.47/1.27 % (3967625)Time elapsed: 0.002 s
% 3.47/1.27 % (3967625)Peak memory usage: 87 MB
% 3.47/1.27 % (3967625)Instructions burned: 1 (million)
% 3.47/1.27 % (3967625)------------------------------
% 3.47/1.27 % (3967625)------------------------------
% 3.47/1.27 % (3967617)Success in time 0.409 s
% 3.47/1.27 % Vampire exiting
%------------------------------------------------------------------------------