%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL645-10.001 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:53:47 AM UTC 2026
% Result : Satisfiable 6.46s 1.78s
% Output : Saturation 6.46s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u44,negated_conjecture,
a != b ).
cnf(u49,negated_conjecture,
b = sF9 ).
cnf(u54,negated_conjecture,
b = sF7 ).
cnf(u59,negated_conjecture,
true = sF1 ).
cnf(u64,negated_conjecture,
true = sF0 ).
cnf(u69,axiom,
r1(sK3_main_X,sK2_main_Y) = sF0 ).
cnf(u74,axiom,
r1(sK3_main_X,sK1_main_Y) = sF1 ).
cnf(u81,axiom,
p1(sK2_main_Y) = sF6 ).
cnf(u86,axiom,
ifeq(sF6,true,a,b) = sF7 ).
cnf(u91,axiom,
p1(sK1_main_Y) = sF8 ).
cnf(u96,axiom,
ifeq(sF8,true,a,b) = sF9 ).
cnf(u105,negated_conjecture,
sF7 = ifeq(sF6,sF1,a,sF9) ).
cnf(u110,negated_conjecture,
sF9 = ifeq(sF8,sF1,a,sF9) ).
cnf(u116,negated_conjecture,
a != sF9 ).
cnf(u124,negated_conjecture,
a != sF7 ).
cnf(u129,negated_conjecture,
sF7 = sF9 ).
cnf(u136,negated_conjecture,
sF0 = sF1 ).
cnf(u145,negated_conjecture,
sF7 = ifeq(sF6,sF0,a,sF7) ).
cnf(u150,negated_conjecture,
sF7 = ifeq(sF8,sF0,a,sF7) ).
cnf(u168,negated_conjecture,
sF0 = ifeq2(sF2(sK1_main_Y),sF0,sF8,sF0) ).
cnf(u173,negated_conjecture,
sF0 = ifeq2(sF2(sK2_main_Y),sF0,sF6,sF0) ).
cnf(u191,negated_conjecture,
sF0 = ifeq2(sF4(sK1_main_Y),sF0,sF8,sF0) ).
cnf(u196,negated_conjecture,
sF0 = ifeq2(sF4(sK2_main_Y),sF0,sF6,sF0) ).
cnf(u77,negated_conjecture,
true = ifeq2(sF4(X0),true,p1(X0),true) ).
cnf(u27,axiom,
r1(sK1_main_Y,X0) = sF4(X0) ).
cnf(u22,axiom,
r1(sK2_main_Y,X0) = sF2(X0) ).
cnf(u158,negated_conjecture,
sF0 = ifeq2(sF2(X0),sF0,p1(X0),sF0) ).
cnf(u181,negated_conjecture,
sF0 = ifeq2(sF4(X0),sF0,p1(X0),sF0) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X0,X0,X1,X2) = X1 ).
cnf(u76,negated_conjecture,
true = ifeq2(sF2(X0),true,p1(X0),true) ).
cnf(u30,negated_conjecture,
true = sF5(X0) ).
cnf(ifeq_axiom,axiom,
ifeq2(X0,X0,X1,X2) = X1 ).
cnf(u25,negated_conjecture,
true = sF3(X0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL645-10.001 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 16:13:06 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 6.46/1.78 % (384470)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.46/1.78 % (384475)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=3813753723:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.46/1.78 % (384479)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=275402859:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.46/1.78 % (384478)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1852398581:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.46/1.78 % (384480)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2141731880:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.46/1.78 % (384476)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=2398780703:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.46/1.78 % (384477)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=923329635:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.46/1.78 % (384481)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3582351431:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.46/1.78 % (384481)Refutation not found, incomplete strategy
% 6.46/1.78 % (384481)------------------------------
% 6.46/1.78 % (384481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.78 % (384481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.78 % (384481)CaDiCaL version: 2.1.3
% 6.46/1.78 % (384481)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.78 % (384481)Time elapsed: 0.001 s
% 6.46/1.78 % (384481)Peak memory usage: 87 MB
% 6.46/1.78 % (384481)Instructions burned: 1 (million)
% 6.46/1.78 % (384478)Refutation not found, incomplete strategy
% 6.46/1.78 % (384478)------------------------------
% 6.46/1.78 % (384478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.78 % (384478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.78 % (384478)CaDiCaL version: 2.1.3
% 6.46/1.78 % (384478)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.78 % (384478)Time elapsed: 0.002 s
% 6.46/1.78 % (384478)Peak memory usage: 87 MB
% 6.46/1.78 % (384478)Instructions burned: 1 (million)
% 6.46/1.78 % (384479)Refutation not found, incomplete strategy
% 6.46/1.78 % (384479)------------------------------
% 6.46/1.78 % (384479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.78 % (384479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.78 % (384479)CaDiCaL version: 2.1.3
% 6.46/1.78 % (384479)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.78 % (384479)Time elapsed: 0.002 s
% 6.46/1.78 % (384479)Peak memory usage: 87 MB
% 6.46/1.78 % (384479)Instructions burned: 2 (million)
% 6.46/1.78 % (384480)Refutation not found, incomplete strategy
% 6.46/1.78 % (384480)------------------------------
% 6.46/1.78 % (384480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.78 % (384480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.78 % (384480)CaDiCaL version: 2.1.3
% 6.46/1.78 % (384480)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.78 % (384480)Time elapsed: 0.002 s
% 6.46/1.78 % (384480)Peak memory usage: 87 MB
% 6.46/1.78 % (384480)Instructions burned: 2 (million)
% 6.46/1.78 % (384479)------------------------------
% 6.46/1.78 % (384479)------------------------------
% 6.46/1.78 % (384481)------------------------------
% 6.46/1.78 % (384481)------------------------------
% 6.46/1.78 % (384478)------------------------------
% 6.46/1.78 % (384478)------------------------------
% 6.46/1.78 % (384480)------------------------------
% 6.46/1.78 % (384480)------------------------------
% 6.46/1.78 % (384475)Refutation not found, incomplete strategy
% 6.46/1.78 % (384475)------------------------------
% 6.46/1.78 % (384475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.78 % (384475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.78 % (384475)CaDiCaL version: 2.1.3
% 6.46/1.78 % (384475)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.78 % (384475)Time elapsed: 0.341 s
% 6.46/1.78 % (384475)Peak memory usage: 128 MB
% 6.46/1.78 % (384475)Instructions burned: 909 (million)
% 6.46/1.78 % (384489)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=522423090:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 6.46/1.78 % (384490)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2963613659:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 6.46/1.78 % (384492)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=1578665703: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)
% 6.46/1.78 % (384491)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=106872653:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 6.46/1.78 % (384492)First to succeed.
% 6.46/1.78 % (384492)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-384470"
% 6.46/1.78 % (384475)------------------------------
% 6.46/1.78 % (384475)------------------------------
% 6.46/1.78 % (384491)Instruction limit reached!
% 6.46/1.78 % (384491)------------------------------
% 6.46/1.78 % (384491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.78 % (384491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.78 % (384491)CaDiCaL version: 2.1.3
% 6.46/1.78 % (384491)Termination reason: Instruction limit
% 6.46/1.78 % (384491)Termination phase: Saturation
% 6.46/1.78 % (384491)Time elapsed: 0.108 s
% 6.46/1.78 % (384491)Peak memory usage: 91 MB
% 6.46/1.78 % (384491)Instructions burned: 217 (million)
% 6.46/1.78 % (384476)Also succeeded, but the first one will report.
% 6.46/1.78 % (384497)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2248739467:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 6.46/1.78 % (384477)Also succeeded, but the first one will report.
% 6.46/1.78 % SZS status Satisfiable for theBenchmark
% 6.46/1.78 % SZS output start Saturation.
% See solution above
% 6.46/1.78 % SZS output start Definitions and Model Updates.
% 6.46/1.78 % SZS output end Definitions and Model Updates.
% 6.46/1.78 % (384492)------------------------------
% 6.46/1.78 % (384492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.78 % (384492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.78 % (384492)CaDiCaL version: 2.1.3
% 6.46/1.78 % (384492)Termination reason: Satisfiable
% 6.46/1.78 % (384492)Time elapsed: 0.004 s
% 6.46/1.78 % (384492)Peak memory usage: 88 MB
% 6.46/1.78 % (384492)Instructions burned: 4 (million)
% 6.46/1.78 % (384492)------------------------------
% 6.46/1.78 % (384492)------------------------------
% 6.46/1.78 % (384470)Success in time 0.854 s
% 6.46/1.78 % Vampire exiting
%------------------------------------------------------------------------------