%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO690-1.003 : 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 : n002.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 5.30s 1.86s
% Output : Saturation 5.30s
% 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(X0,a),a),a),X1),f(X2,a)),f(f(X2,f(f(f(f(X1,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(zero)))))))))))))))),X0,X0) ).
cnf(u16,axiom,
step(f(f(f(f(f(X0,a),a),a),X1),f(X2,a)),f(f(X2,f(f(f(f(X1,a),a),a),a)),X0)) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO690-1.003 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.27 % Computer : n002.cluster.edu
% 0.12/0.27 % Model : x86_64 x86_64
% 0.12/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.27 % Memory : 8046.5625MB
% 0.12/0.27 % OS : Linux 6.8.0-71-generic
% 0.12/0.27 % CPULimit : 300
% 0.12/0.27 % WCLimit : 300
% 0.12/0.27 % DateTime : Mon Sep 28 18:11:50 UTC 2026
% 0.12/0.27 % CPUTime :
% 0.12/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.33 Running first-order theorem proving
% 0.27/0.33 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
% 5.30/1.86 % (604061)Input is clausal, will run a generic CNF schedule.
% 5.30/1.86 % (604079)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3566287070:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.30/1.86 % (604084)dis-21_1_sil=8000:lcm=predicate:random_seed=503564414: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)
% 5.30/1.86 % (604082)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3735859757:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.30/1.86 % (604084)First to succeed.
% 5.30/1.86 % (604082)Refutation not found, incomplete strategy
% 5.30/1.86 % (604082)------------------------------
% 5.30/1.86 % (604082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.86 % (604082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.86 % (604082)CaDiCaL version: 2.1.3
% 5.30/1.86 % (604082)Termination reason: Refutation not found, incomplete strategy
% 5.30/1.86 % (604082)Time elapsed: 0.002 s
% 5.30/1.86 % (604082)Peak memory usage: 87 MB
% 5.30/1.86 % (604084)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-604061"
% 5.30/1.86 % (604081)lrs+10_1_sil=8000:sp=occurrence:random_seed=2608571820:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.30/1.86 % (604083)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4272807501:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.30/1.86 % (604080)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2927992972:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.30/1.86 % (604078)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=2057199352:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.30/1.86 % (604081)Instruction limit reached!
% 5.30/1.86 % (604081)------------------------------
% 5.30/1.86 % (604081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.86 % (604081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.86 % (604081)CaDiCaL version: 2.1.3
% 5.30/1.86 % (604081)Termination reason: Instruction limit
% 5.30/1.86 % (604081)Termination phase: Saturation
% 5.30/1.86 % (604081)Time elapsed: 0.111 s
% 5.30/1.86 % (604081)Peak memory usage: 89 MB
% 5.30/1.86 % (604081)Instructions burned: 107 (million)
% 5.30/1.86 % (604083)Instruction limit reached!
% 5.30/1.86 % (604083)------------------------------
% 5.30/1.86 % (604083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.86 % (604083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.86 % (604083)CaDiCaL version: 2.1.3
% 5.30/1.86 % (604083)Termination reason: Instruction limit
% 5.30/1.86 % (604083)Termination phase: Saturation
% 5.30/1.86 % (604083)Time elapsed: 0.173 s
% 5.30/1.86 % (604083)Peak memory usage: 90 MB
% 5.30/1.86 % (604083)Instructions burned: 180 (million)
% 5.30/1.86 % (604094)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=1183988397:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 5.30/1.86 % (604094)Refutation not found, incomplete strategy
% 5.30/1.86 % (604094)------------------------------
% 5.30/1.86 % (604094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.86 % (604094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.86 % (604094)CaDiCaL version: 2.1.3
% 5.30/1.86 % (604094)Termination reason: Refutation not found, incomplete strategy
% 5.30/1.86 % (604094)Time elapsed: 0.001 s
% 5.30/1.86 % (604094)Peak memory usage: 87 MB
% 5.30/1.86 % (604082)------------------------------
% 5.30/1.86 % (604082)------------------------------
% 5.30/1.86 % SZS status Satisfiable for theBenchmark
% 5.30/1.86 % SZS output start Saturation.
% See solution above
% 5.30/1.86 % SZS output start Definitions and Model Updates.
% 5.30/1.86 % SZS output end Definitions and Model Updates.
% 5.30/1.86 % (604084)------------------------------
% 5.30/1.86 % (604084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.86 % (604084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.86 % (604084)CaDiCaL version: 2.1.3
% 5.30/1.86 % (604084)Termination reason: Satisfiable
% 5.30/1.86 % (604084)Time elapsed: 0.002 s
% 5.30/1.86 % (604084)Peak memory usage: 88 MB
% 5.30/1.86 % (604084)------------------------------
% 5.30/1.86 % (604084)------------------------------
% 5.30/1.86 % (604061)Success in time 0.612 s
% 5.30/1.86 % Vampire exiting
%------------------------------------------------------------------------------