%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN539-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 02:00:53 PM UTC 2026
% Result : Satisfiable 3.52s 1.28s
% Output : Saturation 3.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u157,negated_conjecture,
~ c2_0 ).
cnf(u168,negated_conjecture,
ndr1_0 ).
cnf(u172,negated_conjecture,
( ~ c2_2(X0,X1)
| c1_1(X0)
| c2_1(X0)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u177,negated_conjecture,
~ c1_0 ).
cnf(u191,negated_conjecture,
c4_0 ).
cnf(u199,negated_conjecture,
c5_0 ).
cnf(u207,negated_conjecture,
( ~ c5_2(X1,X2)
| c1_2(X1,X2)
| c4_2(X1,X2)
| ~ c1_1(X1)
| ~ ndr1_1(X1) ) ).
cnf(u214,negated_conjecture,
( ~ c2_2(X0,a627)
| ~ c3_1(X0)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1) ) ).
cnf(u217,negated_conjecture,
ssSkC4 ).
cnf(u229,negated_conjecture,
( c4_2(X0,X2)
| ~ ndr1_1(X0)
| c5_2(X0,X2)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ).
cnf(u232,negated_conjecture,
ssSkC3 ).
cnf(u241,negated_conjecture,
c3_0 ).
cnf(u245,negated_conjecture,
( ~ c4_2(X0,X1)
| c4_1(X0)
| c2_2(X0,X1)
| ~ c2_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ) ).
cnf(u257,negated_conjecture,
( ~ c3_2(X0,X1)
| c1_2(X0,a627)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c1_2(X0,X1) ) ).
cnf(u277,negated_conjecture,
~ ssSkC5 ).
cnf(u281,negated_conjecture,
( ~ c5_2(X0,a628)
| c3_2(X0,X1)
| c2_2(X0,X1)
| ~ c4_1(X0)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u285,negated_conjecture,
( ~ c1_2(X0,a628)
| c3_2(X0,X1)
| c2_2(X0,X1)
| ~ c4_1(X0)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u297,negated_conjecture,
( ~ c1_2(X0,X1)
| c4_2(X0,a628)
| c3_2(X0,X1)
| c2_2(X0,X1)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ) ).
cnf(u302,negated_conjecture,
ssSkC6 ).
cnf(u313,negated_conjecture,
( ~ c5_2(X0,X1)
| c2_2(X0,X1)
| ~ c1_1(X0)
| ~ c1_2(X0,a595)
| ~ ndr1_1(X0) ) ).
cnf(u317,negated_conjecture,
( ~ c4_2(X0,a595)
| c2_2(X0,X1)
| ~ c1_1(X0)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u348,negated_conjecture,
~ ssSkC7 ).
cnf(u359,negated_conjecture,
( ~ c3_1(X0)
| c5_1(X0) ) ).
cnf(u392,negated_conjecture,
ssSkC1 ).
cnf(u421,negated_conjecture,
~ ssSkC0 ).
cnf(u426,negated_conjecture,
~ ndr1_1(a592) ).
cnf(u479,negated_conjecture,
( ~ c1_2(X0,a622)
| ~ c2_1(X0)
| ~ ssSkP3(X0) ) ).
cnf(u518,negated_conjecture,
( c5_2(X0,a622)
| ~ ssSkP3(X0)
| ~ c2_1(X0) ) ).
cnf(u534,negated_conjecture,
( c5_2(X0,a601)
| c2_1(X0)
| ~ c3_1(X0) ) ).
cnf(u537,negated_conjecture,
ssSkC2 ).
cnf(u542,negated_conjecture,
( c2_2(X0,a601)
| c2_1(X0)
| ~ c3_1(X0) ) ).
cnf(u546,negated_conjecture,
( c4_2(X0,a601)
| c2_1(X0)
| ~ c3_1(X0) ) ).
cnf(u563,negated_conjecture,
( ~ ssSkP3(X0)
| ndr1_1(X0)
| ~ c2_1(X0) ) ).
cnf(u567,negated_conjecture,
( ~ c3_1(X0)
| c2_1(X0)
| ndr1_1(X0) ) ).
cnf(u674,negated_conjecture,
c5_1(a619) ).
cnf(u679,negated_conjecture,
c1_1(a619) ).
cnf(u684,negated_conjecture,
c4_1(a619) ).
cnf(u700,negated_conjecture,
~ c3_1(a631) ).
cnf(u720,negated_conjecture,
~ c4_1(a592) ).
cnf(u725,negated_conjecture,
~ c3_1(a592) ).
cnf(u755,negated_conjecture,
~ c2_1(a634) ).
cnf(u773,negated_conjecture,
c1_1(a631) ).
cnf(u972,negated_conjecture,
( c2_2(X0,a603)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ssSkP2(X0)
| c4_1(X0)
| ~ c2_1(X0) ) ).
cnf(u847,negated_conjecture,
( ~ c1_2(X0,a595)
| ~ c1_1(X0)
| c2_2(X0,a622)
| ~ ssSkP3(X0)
| ~ c2_1(X0) ) ).
cnf(clause19,negated_conjecture,
( ssSkP1(X0)
| ndr1_1(X0) ) ).
cnf(u956,negated_conjecture,
( ~ c1_2(X0,a595)
| ~ c2_1(X0)
| c4_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| c2_2(X0,a595)
| ssSkP2(X0) ) ).
cnf(clause65,negated_conjecture,
( ~ c5_2(X0,a599)
| ssSkP0(X0) ) ).
cnf(u858,negated_conjecture,
( ~ c1_2(X0,X1)
| c2_2(X0,X1)
| ~ c2_1(X0)
| c4_1(X0)
| c5_2(X0,X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ) ).
cnf(u902,negated_conjecture,
( ~ c3_2(X0,X1)
| c4_2(X0,a628)
| ~ c4_1(X0)
| ~ c3_1(X0)
| ssSkP2(X0)
| ~ c1_1(X0)
| ~ c5_2(X0,X1)
| c3_2(X0,a627)
| ~ c1_2(X0,X1) ) ).
cnf(u886,negated_conjecture,
( c2_2(X0,a603)
| ~ c1_1(X0)
| c5_2(X0,a595)
| ~ c3_1(X0)
| ssSkP2(X0) ) ).
cnf(u868,negated_conjecture,
( ~ c1_2(X0,a601)
| ~ c3_1(X0)
| c1_2(X0,a627)
| c2_1(X0)
| c1_1(X0) ) ).
cnf(u990,negated_conjecture,
( ~ c1_1(X0)
| ssSkP2(X0)
| c4_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ).
cnf(u875,negated_conjecture,
( c2_2(X0,a627)
| c3_2(X0,a627)
| c4_2(X0,a628)
| ~ c4_1(X0)
| ~ c3_1(X0)
| ssSkP2(X0)
| ~ c1_1(X0) ) ).
cnf(u848,negated_conjecture,
( ~ c1_2(X0,a595)
| ~ c1_1(X0)
| c2_2(X0,a603)
| ssSkP2(X0) ) ).
cnf(u866,negated_conjecture,
( ~ c5_2(X0,a602)
| ~ c3_1(X0)
| c1_2(X0,a627)
| ~ c1_2(X0,a602)
| ssSkP1(X0) ) ).
cnf(u910,negated_conjecture,
( c5_2(X0,a627)
| c4_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ssSkP2(X0)
| ~ c2_1(X0) ) ).
cnf(u955,negated_conjecture,
( c4_2(X0,a595)
| ~ c2_1(X0)
| c4_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| c1_2(X0,a595)
| ssSkP2(X0) ) ).
cnf(u871,negated_conjecture,
( c1_2(X0,a627)
| ~ c3_1(X0)
| ssSkP2(X0)
| ~ c1_1(X0) ) ).
cnf(u969,negated_conjecture,
( c2_2(X0,a595)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ssSkP2(X0)
| c4_1(X0)
| ~ c2_1(X0) ) ).
cnf(u927,negated_conjecture,
( ~ c1_2(X0,a595)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ssSkP2(X0)
| ~ c2_1(X0)
| c2_2(X0,a627)
| c4_1(X0) ) ).
cnf(u869,negated_conjecture,
( ~ c1_2(X0,a603)
| ~ c3_1(X0)
| c1_2(X0,a627)
| ssSkP2(X0) ) ).
cnf(clause20,negated_conjecture,
( ssSkP0(X0)
| ndr1_1(X0) ) ).
cnf(u983,negated_conjecture,
( ~ c5_2(X0,a602)
| ssSkP2(X0)
| c4_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c1_2(X0,a602)
| ssSkP1(X0) ) ).
cnf(u973,negated_conjecture,
( c2_2(X0,a622)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ssSkP2(X0)
| c4_1(X0)
| ~ c2_1(X0) ) ).
cnf(clause60,negated_conjecture,
( ~ c2_2(X0,a621)
| ssSkP3(X0) ) ).
cnf(u968,negated_conjecture,
( c2_2(X0,a627)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ssSkP2(X0)
| c4_1(X0)
| ~ c2_1(X0) ) ).
cnf(u842,negated_conjecture,
( c4_2(X0,a622)
| ~ c1_1(X0)
| ~ ssSkP3(X0)
| ~ c2_1(X0) ) ).
cnf(u829,negated_conjecture,
( ~ c2_1(X0)
| ndr1_1(X0) ) ).
cnf(u948,negated_conjecture,
( c5_2(X0,a595)
| ssSkP2(X0)
| ~ c2_1(X0)
| c4_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ) ).
cnf(u885,negated_conjecture,
( c2_2(X0,a622)
| ~ c1_1(X0)
| c5_2(X0,a595)
| ~ c3_1(X0)
| ~ ssSkP3(X0)
| ~ c2_1(X0) ) ).
cnf(clause39,negated_conjecture,
( c3_2(X0,a603)
| ssSkP2(X0) ) ).
cnf(clause41,negated_conjecture,
( c2_2(X0,a599)
| ssSkP0(X0) ) ).
cnf(u850,negated_conjecture,
( ~ c5_2(X0,X1)
| ~ c1_1(X0)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_2(X0,a595)
| ~ c3_1(X0) ) ).
cnf(u941,negated_conjecture,
( ~ c5_2(X0,a602)
| ssSkP2(X0)
| ~ c2_1(X0)
| c4_1(X0)
| c5_2(X0,a595)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c1_2(X0,a602)
| ssSkP1(X0) ) ).
cnf(u860,negated_conjecture,
( ~ c2_1(X0)
| c4_1(X0)
| ssSkP3(X0) ) ).
cnf(clause18,negated_conjecture,
( ssSkP2(X0)
| ndr1_1(X0) ) ).
cnf(u977,negated_conjecture,
( ~ c3_2(X0,X1)
| ~ c3_1(X0)
| ssSkP2(X0)
| c4_1(X0)
| ~ c2_1(X0)
| ~ c5_2(X0,X1)
| ~ c1_1(X0)
| ~ c1_2(X0,X1) ) ).
cnf(clause16,negated_conjecture,
( ssSkP3(X0)
| ndr1_1(X0) ) ).
cnf(u833,negated_conjecture,
( c3_2(X0,a601)
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ) ).
cnf(u880,negated_conjecture,
( ~ c5_2(X0,a621)
| ~ c4_1(X0)
| ssSkP3(X0)
| c1_2(X0,a627)
| ~ c3_1(X0)
| c4_2(X0,a628) ) ).
cnf(u928,negated_conjecture,
( c2_2(X0,a627)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ssSkP2(X0)
| ~ c2_1(X0)
| c4_1(X0)
| c5_2(X0,a595) ) ).
cnf(u919,negated_conjecture,
( ~ c5_2(X0,a621)
| ~ c4_1(X0)
| ~ c3_1(X0)
| ssSkP2(X0)
| ~ c1_1(X0)
| c4_2(X0,a628)
| c3_2(X0,a627)
| ssSkP3(X0) ) ).
cnf(u843,negated_conjecture,
( c1_2(X0,a603)
| ~ c1_1(X0)
| ssSkP2(X0) ) ).
cnf(clause62,negated_conjecture,
( ~ c4_2(X0,a603)
| ssSkP2(X0) ) ).
cnf(u897,negated_conjecture,
( ~ c3_2(X0,X1)
| c4_1(X0)
| c5_2(X0,a627)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ssSkP2(X0)
| ~ c5_2(X0,X1)
| ~ c2_1(X0)
| ~ c1_2(X0,X1) ) ).
cnf(clause35,negated_conjecture,
( c1_2(X0,a621)
| ssSkP3(X0) ) ).
cnf(u835,negated_conjecture,
( c1_1(X0)
| c2_1(X0)
| ssSkP0(X0) ) ).
cnf(clause63,negated_conjecture,
( ~ c2_2(X0,a602)
| ssSkP1(X0) ) ).
cnf(u913,negated_conjecture,
( ~ c5_2(X0,a602)
| ~ c4_1(X0)
| ~ c3_1(X0)
| ssSkP2(X0)
| ~ c1_1(X0)
| c4_2(X0,a628)
| c3_2(X0,a627)
| ~ c1_2(X0,a602)
| ssSkP1(X0) ) ).
cnf(u905,negated_conjecture,
( ~ c5_2(X0,a602)
| c5_2(X0,a627)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ssSkP2(X0)
| c4_1(X0)
| ~ c2_1(X0)
| ~ c1_2(X0,a602)
| ssSkP1(X0) ) ).
cnf(u877,negated_conjecture,
( c3_2(X0,a621)
| c4_2(X0,a628)
| ~ c4_1(X0)
| ssSkP3(X0) ) ).
cnf(u891,negated_conjecture,
( c2_2(X0,a627)
| ~ c2_1(X0)
| c4_1(X0)
| c5_2(X0,a627)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ssSkP2(X0) ) ).
cnf(clause38,negated_conjecture,
( c5_2(X0,a603)
| ssSkP2(X0) ) ).
cnf(clause40,negated_conjecture,
( c3_2(X0,a602)
| ssSkP1(X0) ) ).
cnf(u920,negated_conjecture,
( c3_2(X0,a627)
| ~ c4_1(X0)
| ~ c3_1(X0)
| ssSkP2(X0)
| ~ c1_1(X0)
| c4_2(X0,a628) ) ).
cnf(u938,negated_conjecture,
( ~ c3_2(X0,X1)
| ~ c1_1(X0)
| ssSkP2(X0)
| ~ c2_1(X0)
| c4_1(X0)
| c5_2(X0,a595)
| ~ c5_2(X0,X1)
| ~ c3_1(X0)
| ~ c1_2(X0,X1) ) ).
cnf(clause36,negated_conjecture,
( c4_2(X0,a621)
| ssSkP3(X0) ) ).
cnf(clause64,negated_conjecture,
( ~ c3_2(X0,a599)
| ssSkP0(X0) ) ).
cnf(u962,negated_conjecture,
( ~ c5_2(X0,X1)
| c4_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ssSkP2(X0)
| c2_2(X0,X1)
| ~ c2_1(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN539-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:29:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.52/1.28 % (3995908)Input is clausal, will run a generic CNF schedule.
% 3.52/1.28 % (3996044)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=955673359:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.52/1.28 % (3996048)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=414113374:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.52/1.28 % (3996045)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2013794645:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.52/1.28 % (3996046)lrs+10_1_sil=8000:sp=occurrence:random_seed=1813021196:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.52/1.28 % (3996047)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1113272398:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.52/1.28 % (3996048)Refutation not found, incomplete strategy
% 3.52/1.28 % (3996048)------------------------------
% 3.52/1.28 % (3996048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.28 % (3996048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.28 % (3996048)CaDiCaL version: 2.1.3
% 3.52/1.28 % (3996048)Termination reason: Refutation not found, incomplete strategy
% 3.52/1.28 % (3996048)Time elapsed: 0.006 s
% 3.52/1.28 % (3996048)Peak memory usage: 89 MB
% 3.52/1.28 % (3996048)Instructions burned: 7 (million)
% 3.52/1.28 % (3996046)First to succeed.
% 3.52/1.28 % (3996047)Refutation not found, incomplete strategy
% 3.52/1.28 % (3996047)------------------------------
% 3.52/1.28 % (3996047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.28 % (3996047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.28 % (3996047)CaDiCaL version: 2.1.3
% 3.52/1.28 % (3996047)Termination reason: Refutation not found, incomplete strategy
% 3.52/1.28 % (3996047)Time elapsed: 0.008 s
% 3.52/1.28 % (3996047)Peak memory usage: 88 MB
% 3.52/1.28 % (3996047)Instructions burned: 12 (million)
% 3.52/1.28 % (3996046)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3995908"
% 3.52/1.28 % (3996049)dis-21_1_sil=8000:lcm=predicate:random_seed=720104740: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)
% 3.52/1.28 % (3996049)Also succeeded, but the first one will report.
% 3.52/1.28 % (3996043)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=682442852:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.52/1.28 % (3996048)------------------------------
% 3.52/1.28 % (3996048)------------------------------
% 3.52/1.28 % (3996047)------------------------------
% 3.52/1.28 % (3996047)------------------------------
% 3.52/1.28 % SZS status Satisfiable for theBenchmark
% 3.52/1.28 % SZS output start Saturation.
% See solution above
% 3.52/1.28 % SZS output start Definitions and Model Updates.
% 3.52/1.28 % SZS output end Definitions and Model Updates.
% 3.52/1.28 % (3996046)------------------------------
% 3.52/1.28 % (3996046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.28 % (3996046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.28 % (3996046)CaDiCaL version: 2.1.3
% 3.52/1.28 % (3996046)Termination reason: Satisfiable
% 3.52/1.28 % (3996046)Time elapsed: 0.008 s
% 3.52/1.28 % (3996046)Peak memory usage: 89 MB
% 3.52/1.28 % (3996046)Instructions burned: 11 (million)
% 3.52/1.28 % (3996046)------------------------------
% 3.52/1.28 % (3996046)------------------------------
% 3.52/1.28 % (3995908)Success in time 0.415 s
% 3.52/1.28 % Vampire exiting
%------------------------------------------------------------------------------