%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN303-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:50:08 PM UTC 2026
% Result : Satisfiable 6.52s 1.64s
% Output : Saturation 6.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u52,negated_conjecture,
true = ifeq(sF2(X0,X1),true,sF2(X1,X0),true) ).
cnf(u13,negated_conjecture,
true = sF0(X0) ).
cnf(u30,negated_conjecture,
true = ifeq(sF2(X0,X1),true,p(X0,X1),true) ).
cnf(u42,negated_conjecture,
true = ifeq(sF5(X0),true,sF2(a,f(X0)),true) ).
cnf(u24,negated_conjecture,
true = sF4(X0,X1) ).
cnf(u34,negated_conjecture,
true = ifeq(sF2(X0,X0),true,true,true) ).
cnf(u27,negated_conjecture,
true != sF5(X0) ).
cnf(u16,negated_conjecture,
true = sF1(X0,X1) ).
cnf(u26,axiom,
p(a,f(X0)) = sF5(X0) ).
cnf(u44,negated_conjecture,
true = ifeq(p(f(X0),a),true,sF5(X0),true) ).
cnf(u45,negated_conjecture,
true = ifeq(sF5(X0),true,p(f(X0),a),true) ).
cnf(ifeq_axiom,axiom,
ifeq(X0,X0,X1,X2) = X1 ).
cnf(u49,negated_conjecture,
true = ifeq(sF2(f(X0),f(X1)),true,sF2(X0,X1),true) ).
cnf(u43,negated_conjecture,
true = ifeq(sF2(a,f(X0)),true,sF5(X0),true) ).
cnf(u36,negated_conjecture,
true = sF2(X0,X0) ).
cnf(u29,negated_conjecture,
true = ifeq(p(X0,X1),true,p(X1,X0),true) ).
cnf(u48,negated_conjecture,
true = ifeq(sF2(X0,X1),true,sF2(f(X0),f(X1)),true) ).
cnf(u28,negated_conjecture,
p(X0,X0) = true ).
cnf(u21,negated_conjecture,
true = sF3(X0,X1) ).
cnf(u31,negated_conjecture,
true = ifeq(p(X0,X1),true,sF2(X0,X1),true) ).
cnf(u18,axiom,
p(f(X0),f(X1)) = sF2(X0,X1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN303-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n017.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 15:36:21 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 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
% 6.52/1.64 % (3652415)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.52/1.64 % (3652570)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2773940618:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.52/1.64 % (3652570)Refutation not found, incomplete strategy
% 6.52/1.64 % (3652570)------------------------------
% 6.52/1.64 % (3652570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.64 % (3652570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.64 % (3652570)CaDiCaL version: 2.1.3
% 6.52/1.64 % (3652570)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.64 % (3652570)Time elapsed: 0.002 s
% 6.52/1.64 % (3652570)Peak memory usage: 87 MB
% 6.52/1.64 % (3652570)Instructions burned: 5 (million)
% 6.52/1.64 % (3652567)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=538120356:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.52/1.64 % (3652566)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1032288417:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.52/1.64 % (3652568)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=750222391:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.52/1.64 % (3652573)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2840340391:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.52/1.64 % (3652575)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=257424474:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.52/1.64 % (3652571)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3544981822:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.52/1.64 % (3652575)Refutation not found, incomplete strategy
% 6.52/1.64 % (3652575)------------------------------
% 6.52/1.64 % (3652575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.64 % (3652575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.64 % (3652575)CaDiCaL version: 2.1.3
% 6.52/1.64 % (3652575)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.64 % (3652575)Time elapsed: 0.001 s
% 6.52/1.64 % (3652575)Peak memory usage: 87 MB
% 6.52/1.64 % (3652575)Instructions burned: 1 (million)
% 6.52/1.64 % (3652571)Refutation not found, incomplete strategy
% 6.52/1.64 % (3652571)------------------------------
% 6.52/1.64 % (3652571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.64 % (3652571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.64 % (3652571)CaDiCaL version: 2.1.3
% 6.52/1.64 % (3652571)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.64 % (3652571)Time elapsed: 0.002 s
% 6.52/1.64 % (3652571)Peak memory usage: 87 MB
% 6.52/1.64 % (3652571)Instructions burned: 1 (million)
% 6.52/1.64 % (3652573)Refutation not found, incomplete strategy
% 6.52/1.64 % (3652573)------------------------------
% 6.52/1.64 % (3652573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.64 % (3652573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.64 % (3652573)CaDiCaL version: 2.1.3
% 6.52/1.64 % (3652573)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.64 % (3652573)Time elapsed: 0.005 s
% 6.52/1.64 % (3652573)Peak memory usage: 87 MB
% 6.52/1.64 % (3652573)Instructions burned: 6 (million)
% 6.52/1.64 % (3652570)------------------------------
% 6.52/1.64 % (3652570)------------------------------
% 6.52/1.64 % (3652584)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1146745427:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 6.52/1.64 % (3652571)------------------------------
% 6.52/1.64 % (3652571)------------------------------
% 6.52/1.64 % (3652575)------------------------------
% 6.52/1.64 % (3652575)------------------------------
% 6.52/1.64 % (3652573)------------------------------
% 6.52/1.64 % (3652573)------------------------------
% 6.52/1.64 % (3652587)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=524183981:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 6.52/1.64 % (3652586)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1646722805:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 6.52/1.64 % (3652588)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1136537014:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 6.52/1.64 % (3652588)First to succeed.
% 6.52/1.64 % (3652588)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3652415"
% 6.52/1.64 % (3652587)Instruction limit reached!
% 6.52/1.64 % (3652587)------------------------------
% 6.52/1.64 % (3652587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.64 % (3652587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.64 % (3652587)CaDiCaL version: 2.1.3
% 6.52/1.64 % (3652587)Termination reason: Instruction limit
% 6.52/1.64 % (3652587)Termination phase: Saturation
% 6.52/1.64 % (3652587)Time elapsed: 0.108 s
% 6.52/1.64 % (3652587)Peak memory usage: 90 MB
% 6.52/1.64 % (3652587)Instructions burned: 216 (million)
% 6.52/1.64 % (3652584)Refutation not found, incomplete strategy
% 6.52/1.64 % (3652584)------------------------------
% 6.52/1.64 % (3652584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.64 % (3652584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.64 % (3652584)CaDiCaL version: 2.1.3
% 6.52/1.64 % (3652584)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.64 % (3652584)Time elapsed: 0.320 s
% 6.52/1.64 % (3652584)Peak memory usage: 128 MB
% 6.52/1.64 % (3652584)Instructions burned: 858 (million)
% 6.52/1.64 % (3652567)Also succeeded, but the first one will report.
% 6.52/1.64 % (3652568)Also succeeded, but the first one will report.
% 6.52/1.64 % (3652566)Refutation not found, incomplete strategy
% 6.52/1.64 % (3652566)------------------------------
% 6.52/1.64 % (3652566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.64 % (3652566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.64 % (3652566)CaDiCaL version: 2.1.3
% 6.52/1.64 % (3652566)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.64 % (3652566)Time elapsed: 0.614 s
% 6.52/1.64 % (3652566)Peak memory usage: 126 MB
% 6.52/1.64 % (3652566)Instructions burned: 907 (million)
% 6.52/1.64 % SZS status Satisfiable for theBenchmark
% 6.52/1.64 % SZS output start Saturation.
% See solution above
% 6.52/1.64 % SZS output start Definitions and Model Updates.
% 6.52/1.64 % SZS output end Definitions and Model Updates.
% 6.52/1.64 % (3652588)------------------------------
% 6.52/1.64 % (3652588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.64 % (3652588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.64 % (3652588)CaDiCaL version: 2.1.3
% 6.52/1.64 % (3652588)Termination reason: Satisfiable
% 6.52/1.64 % (3652588)Time elapsed: 0.003 s
% 6.52/1.64 % (3652588)Peak memory usage: 88 MB
% 6.52/1.64 % (3652588)Instructions burned: 3 (million)
% 6.52/1.64 % (3652588)------------------------------
% 6.52/1.64 % (3652588)------------------------------
% 6.52/1.64 % (3652415)Success in time 0.86 s
% 6.52/1.64 % Vampire exiting
%------------------------------------------------------------------------------