%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO690-1.005 : TPTP v9.3.1. Released v7.3.0.
% 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 02:28:48 PM UTC 2026
% Result : Satisfiable 3.58s 1.25s
% Output : Saturation 3.58s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(constructor_af_001,axiom,
~ eq(a,f(X0,X1)) ).
cnf(constructor_af,axiom,
~ eq(f(X0,X1),a) ).
cnf(rewrite_right,axiom,
( step(f(X2,X0),f(X2,X1))
| ~ step(X0,X1) ) ).
cnf(rewrite_left,axiom,
( step(f(X0,X2),f(X1,X2))
| ~ step(X0,X1) ) ).
cnf(rewrite_sequence_succ,axiom,
( seq(succ(X0),X1,X3)
| ~ step(X2,X3)
| ~ seq(X0,X1,X2) ) ).
cnf(constructor_f1,axiom,
( eq(f(X0,X2),f(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ) ).
cnf(rewrite_sequence_zero,axiom,
seq(zero,X0,X0) ).
cnf(constructor_a,axiom,
eq(a,a) ).
cnf(rule_1,axiom,
top(f(f(f(f(f(f(f(X0,a),a),a),a),a),X1),f(X2,a)),f(f(X2,f(f(f(f(f(f(X1,a),a),a),a),a),a)),X0)) ).
cnf(constructor_f3,axiom,
( ~ eq(f(X2,X0),f(X3,X1))
| eq(X0,X1) ) ).
cnf(constructor_f2,axiom,
( ~ eq(f(X0,X2),f(X1,X3))
| eq(X0,X1) ) ).
cnf(rewrite_top,axiom,
( ~ top(X0,X1)
| step(X0,X1) ) ).
cnf(prove,negated_conjecture,
seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),X0,X0) ).
cnf(u16,axiom,
step(f(f(f(f(f(f(f(X0,a),a),a),a),a),X1),f(X2,a)),f(f(X2,f(f(f(f(f(f(X1,a),a),a),a),a),a)),X0)) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO690-1.005 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n026.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 18:11:34 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running first-order theorem proving
% 0.09/0.19 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
% 3.58/1.25 % (4105305)Input is clausal, will run a generic CNF schedule.
% 3.58/1.25 % (4105311)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3434060216:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.25 % (4105315)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=159123947:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.25 % (4105312)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3621412249:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.25 % (4105310)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=681230564:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.25 % (4105313)lrs+10_1_sil=8000:sp=occurrence:random_seed=308894972:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.25 % (4105314)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=343978186:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.25 % (4105314)Refutation not found, incomplete strategy
% 3.58/1.25 % (4105314)------------------------------
% 3.58/1.25 % (4105314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.25 % (4105314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.25 % (4105314)CaDiCaL version: 2.1.3
% 3.58/1.25 % (4105314)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.25 % (4105314)Time elapsed: 0.001 s
% 3.58/1.25 % (4105314)Peak memory usage: 87 MB
% 3.58/1.25 % (4105316)dis-21_1_sil=8000:lcm=predicate:random_seed=768470480: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)
% 3.58/1.25 % (4105316)First to succeed.
% 3.58/1.25 % (4105316)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4105305"
% 3.58/1.25 % (4105313)Instruction limit reached!
% 3.58/1.25 % (4105313)------------------------------
% 3.58/1.25 % (4105313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.25 % (4105313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.25 % (4105313)CaDiCaL version: 2.1.3
% 3.58/1.25 % (4105313)Termination reason: Instruction limit
% 3.58/1.25 % (4105313)Termination phase: Saturation
% 3.58/1.25 % (4105313)Time elapsed: 0.063 s
% 3.58/1.25 % (4105313)Peak memory usage: 89 MB
% 3.58/1.25 % (4105313)Instructions burned: 108 (million)
% 3.58/1.25 % (4105315)Instruction limit reached!
% 3.58/1.25 % (4105315)------------------------------
% 3.58/1.25 % (4105315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.25 % (4105315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.25 % (4105315)CaDiCaL version: 2.1.3
% 3.58/1.25 % (4105315)Termination reason: Instruction limit
% 3.58/1.25 % (4105315)Termination phase: Saturation
% 3.58/1.25 % (4105315)Time elapsed: 0.105 s
% 3.58/1.25 % (4105315)Peak memory usage: 90 MB
% 3.58/1.25 % (4105315)Instructions burned: 180 (million)
% 3.58/1.25 % (4105324)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=2305019758:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.58/1.25 % (4105324)Refutation not found, incomplete strategy
% 3.58/1.25 % (4105324)------------------------------
% 3.58/1.25 % (4105324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.25 % (4105324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.25 % (4105324)CaDiCaL version: 2.1.3
% 3.58/1.25 % (4105324)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.25 % (4105324)Time elapsed: 0.001 s
% 3.58/1.25 % (4105324)Peak memory usage: 87 MB
% 3.58/1.25 % (4105325)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1923858426: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)
% 3.58/1.25 % (4105325)Refutation not found, incomplete strategy
% 3.58/1.25 % (4105325)------------------------------
% 3.58/1.25 % (4105325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.25 % (4105325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.25 % (4105325)CaDiCaL version: 2.1.3
% 3.58/1.25 % (4105325)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.25 % (4105325)Time elapsed: 0.001 s
% 3.58/1.25 % (4105325)Peak memory usage: 87 MB
% 3.58/1.25 % (4105314)------------------------------
% 3.58/1.25 % (4105314)------------------------------
% 3.58/1.25 % SZS status Satisfiable for theBenchmark
% 3.58/1.25 % SZS output start Saturation.
% See solution above
% 3.58/1.25 % SZS output start Definitions and Model Updates.
% 3.58/1.25 % SZS output end Definitions and Model Updates.
% 3.58/1.25 % (4105316)------------------------------
% 3.58/1.25 % (4105316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.25 % (4105316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.25 % (4105316)CaDiCaL version: 2.1.3
% 3.58/1.25 % (4105316)Termination reason: Satisfiable
% 3.58/1.25 % (4105316)Time elapsed: 0.002 s
% 3.58/1.25 % (4105316)Peak memory usage: 88 MB
% 3.58/1.25 % (4105316)Instructions burned: 1 (million)
% 3.58/1.25 % (4105316)------------------------------
% 3.58/1.25 % (4105316)------------------------------
% 3.58/1.25 % (4105305)Success in time 0.419 s
% 3.58/1.25 % Vampire exiting
%------------------------------------------------------------------------------