%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN538-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 2.02s 0.68s
% Output : Saturation 2.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u152,negated_conjecture,
ndr1_0 ).
cnf(u156,negated_conjecture,
( ~ c1_2(X0,X1)
| c2_1(X0)
| c2_2(X0,X1)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ) ).
cnf(u160,negated_conjecture,
( ~ c2_2(X1,X2)
| c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_1(X1)
| ~ c3_2(X1,X2) ) ).
cnf(u163,negated_conjecture,
ssSkC0 ).
cnf(u182,negated_conjecture,
( ~ c2_1(X0)
| ~ c5_1(X0) ) ).
cnf(u198,negated_conjecture,
~ c3_0 ).
cnf(u209,negated_conjecture,
~ ssSkC2 ).
cnf(u213,negated_conjecture,
( ~ c1_2(X0,a559)
| c1_2(X0,X2)
| c5_2(X0,X1)
| c2_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X2)
| ~ ndr1_1(X0) ) ).
cnf(u217,negated_conjecture,
c4_0 ).
cnf(u221,negated_conjecture,
ndr1_1(a551) ).
cnf(u225,negated_conjecture,
( ~ c4_2(a551,X1)
| c1_2(a551,X1)
| ~ c3_2(a551,X1) ) ).
cnf(u233,negated_conjecture,
~ c2_0 ).
cnf(u244,negated_conjecture,
( ~ c1_2(X1,X2)
| c5_2(X1,X2)
| c5_1(X1)
| ~ c4_1(X1)
| ~ ndr1_1(X1) ) ).
cnf(u255,negated_conjecture,
( ~ c2_2(X0,X2)
| c4_2(X0,a559)
| c1_2(X0,X2)
| c5_2(X0,X1)
| c2_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u259,negated_conjecture,
( ~ c2_2(X0,X2)
| c3_2(X0,a559)
| c1_2(X0,X2)
| c5_2(X0,X1)
| c2_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u263,negated_conjecture,
( ~ c2_2(a551,X1)
| c4_2(a551,X1)
| c5_2(a551,X1) ) ).
cnf(u295,negated_conjecture,
( ~ c3_2(X0,X1)
| c4_1(X0)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c3_1(X0)
| ~ ndr1_1(X0) ) ).
cnf(u328,negated_conjecture,
~ c1_0 ).
cnf(u362,negated_conjecture,
( ~ c5_2(X0,X1)
| c2_1(X0)
| c1_2(X0,X1)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ).
cnf(u372,negated_conjecture,
ssSkC3 ).
cnf(u375,negated_conjecture,
ndr1_1(a561) ).
cnf(u427,negated_conjecture,
( ~ c3_1(X0)
| c4_1(X0) ) ).
cnf(u450,negated_conjecture,
~ c1_1(a551) ).
cnf(u454,negated_conjecture,
ndr1_1(a578) ).
cnf(u458,negated_conjecture,
( ~ c5_2(a578,X0)
| c4_2(a578,X0) ) ).
cnf(u462,negated_conjecture,
( ~ c4_2(X0,a555)
| c5_1(X0)
| ~ c3_1(X0) ) ).
cnf(u466,negated_conjecture,
( ~ c1_2(X0,a555)
| c5_1(X0)
| ~ c3_1(X0) ) ).
cnf(u470,negated_conjecture,
( ~ c5_2(X0,a555)
| c5_1(X0)
| ~ c3_1(X0) ) ).
cnf(u486,negated_conjecture,
~ ssSkC6 ).
cnf(u490,negated_conjecture,
( ~ c5_2(X0,a576)
| c3_1(X0)
| ~ c2_1(X0) ) ).
cnf(u494,negated_conjecture,
ndr1_1(a569) ).
cnf(u498,negated_conjecture,
( ~ c2_2(a569,X0)
| c3_2(a569,X0) ) ).
cnf(u501,negated_conjecture,
ssSkC5 ).
cnf(u510,negated_conjecture,
ssSkC1 ).
cnf(u514,negated_conjecture,
( ~ c3_2(X0,a558)
| c2_1(X0)
| ~ ssSkP1(X0) ) ).
cnf(u518,negated_conjecture,
( ~ c5_2(X0,a558)
| c2_1(X0)
| ~ ssSkP1(X0) ) ).
cnf(u527,negated_conjecture,
ssSkC4 ).
cnf(u534,negated_conjecture,
( c2_2(X0,a576)
| c3_1(X0)
| ~ c2_1(X0) ) ).
cnf(u538,negated_conjecture,
( ~ c4_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ).
cnf(u542,negated_conjecture,
( ~ c3_1(X0)
| c5_1(X0)
| ndr1_1(X0) ) ).
cnf(u546,negated_conjecture,
( c2_2(X0,a558)
| c2_1(X0)
| ~ ssSkP1(X0) ) ).
cnf(u558,negated_conjecture,
( ~ c2_1(X0)
| c3_1(X0)
| ndr1_1(X0) ) ).
cnf(u562,negated_conjecture,
( ~ ssSkP1(X0)
| c2_1(X0)
| ndr1_1(X0) ) ).
cnf(u581,negated_conjecture,
~ c5_1(a550) ).
cnf(u586,negated_conjecture,
~ c2_1(a578) ).
cnf(u610,negated_conjecture,
~ c2_1(X0) ).
cnf(u615,negated_conjecture,
~ c1_1(a564) ).
cnf(u620,negated_conjecture,
~ c3_1(a564) ).
cnf(u626,negated_conjecture,
~ c2_1(a569) ).
cnf(u631,negated_conjecture,
~ c1_1(a569) ).
cnf(u636,negated_conjecture,
c5_1(a578) ).
cnf(u644,negated_conjecture,
ssSkC7 ).
cnf(u671,negated_conjecture,
~ c1_1(a561) ).
cnf(u763,negated_conjecture,
ssSkP0(a578) ).
cnf(u779,negated_conjecture,
c3_2(a569,a548) ).
cnf(u784,negated_conjecture,
ssSkP2(a569) ).
cnf(u800,negated_conjecture,
~ ssSkP1(a569) ).
cnf(u812,negated_conjecture,
~ ssSkP1(a551) ).
cnf(u865,negated_conjecture,
( ~ c4_2(X0,a579)
| ssSkP0(X0)
| ssSkP3(X0)
| c1_2(X0,a579)
| ~ c1_1(X0)
| c4_2(X0,a559) ) ).
cnf(u830,negated_conjecture,
( c5_2(X0,a557)
| c5_1(X0)
| ~ c4_1(X0)
| ssSkP1(X0) ) ).
cnf(u886,negated_conjecture,
( c1_2(X0,a562)
| c5_2(X0,a579)
| c3_2(X0,a559)
| ssSkP2(X0)
| ssSkP3(X0) ) ).
cnf(u875,negated_conjecture,
( c1_2(X0,a562)
| c5_2(X0,a579)
| c4_2(X0,a559)
| ssSkP2(X0)
| ssSkP3(X0) ) ).
cnf(clause55,negated_conjecture,
( ~ c3_2(X0,a557)
| ssSkP1(X0) ) ).
cnf(u848,negated_conjecture,
( ~ c3_2(X0,X1)
| c1_2(X0,a558)
| c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,a559)
| ~ ssSkP1(X0) ) ).
cnf(clause56,negated_conjecture,
( ~ c1_2(X0,a548)
| ssSkP0(X0) ) ).
cnf(u861,negated_conjecture,
( ~ c3_2(X0,X1)
| c5_2(X0,X1)
| c2_2(X0,X1)
| c3_2(X0,a559)
| ssSkP0(X0) ) ).
cnf(u894,negated_conjecture,
( c5_2(X0,a558)
| c3_2(X0,a559)
| ~ ssSkP1(X0)
| ssSkP3(X0)
| c5_2(X0,a579)
| c5_1(X0)
| ~ c4_1(X0) ) ).
cnf(clause34,negated_conjecture,
( c5_2(X0,a562)
| ssSkP2(X0) ) ).
cnf(u899,negated_conjecture,
( c5_2(X0,a579)
| ~ ssSkP1(X0)
| ssSkP3(X0)
| c4_2(X0,a559)
| c5_1(X0)
| ~ c4_1(X0) ) ).
cnf(u749,negated_conjecture,
ndr1_1(X0) ).
cnf(u883,negated_conjecture,
( c5_2(X0,a558)
| c4_2(X0,a559)
| ~ ssSkP1(X0)
| ssSkP3(X0)
| c5_2(X0,a579)
| c5_1(X0)
| ~ c4_1(X0) ) ).
cnf(u912,negated_conjecture,
( ~ c4_2(X0,a579)
| ssSkP3(X0)
| c3_2(X0,a559)
| c5_1(X0)
| ~ c4_1(X0)
| c1_2(X0,a579)
| ~ c1_1(X0)
| ~ ssSkP1(X0) ) ).
cnf(u849,negated_conjecture,
( ~ c3_2(X0,X1)
| c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,a559)
| ssSkP0(X0) ) ).
cnf(u891,negated_conjecture,
( c1_2(X0,a558)
| c5_2(X0,a579)
| c3_2(X0,a559)
| ~ ssSkP1(X0)
| ssSkP3(X0) ) ).
cnf(u903,negated_conjecture,
( ~ c4_2(X0,a579)
| ssSkP3(X0)
| c4_2(X0,a559)
| c5_1(X0)
| ~ c4_1(X0)
| c1_2(X0,a579)
| ~ c1_1(X0)
| ~ ssSkP1(X0) ) ).
cnf(clause21,negated_conjecture,
( ssSkP0(X0)
| ndr1_1(X0) ) ).
cnf(clause31,negated_conjecture,
( c3_2(X0,a579)
| ssSkP3(X0) ) ).
cnf(u826,negated_conjecture,
( ~ c3_2(X0,a548)
| ~ c1_1(X0)
| ssSkP0(X0) ) ).
cnf(u847,negated_conjecture,
( ~ c3_2(X0,X1)
| c1_2(X0,a562)
| c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,a559)
| ssSkP2(X0) ) ).
cnf(u859,negated_conjecture,
( ~ c3_2(X0,X1)
| c1_2(X0,a562)
| c5_2(X0,X1)
| c2_2(X0,X1)
| c3_2(X0,a559)
| ssSkP2(X0) ) ).
cnf(clause39,negated_conjecture,
( c2_2(X0,a548)
| ssSkP0(X0) ) ).
cnf(u769,negated_conjecture,
ssSkP2(a578) ).
cnf(u860,negated_conjecture,
( ~ c3_2(X0,X1)
| c1_2(X0,a558)
| c5_2(X0,X1)
| c2_2(X0,X1)
| c3_2(X0,a559)
| ~ ssSkP1(X0) ) ).
cnf(clause18,negated_conjecture,
( ssSkP2(X0)
| ndr1_1(X0) ) ).
cnf(clause52,negated_conjecture,
( ~ c2_2(X0,a579)
| ssSkP3(X0) ) ).
cnf(u840,negated_conjecture,
( ~ c4_2(X0,a548)
| ~ c1_1(X0)
| ssSkP0(X0) ) ).
cnf(clause14,negated_conjecture,
( ssSkP3(X0)
| ndr1_1(X0) ) ).
cnf(u868,negated_conjecture,
( c5_2(X0,a579)
| c3_2(X0,a559)
| ssSkP0(X0)
| ssSkP3(X0) ) ).
cnf(u880,negated_conjecture,
( c1_2(X0,a558)
| c5_2(X0,a579)
| c4_2(X0,a559)
| ~ ssSkP1(X0)
| ssSkP3(X0) ) ).
cnf(clause54,negated_conjecture,
( ~ c4_2(X0,a562)
| ssSkP2(X0) ) ).
cnf(u827,negated_conjecture,
( ~ c3_2(X0,a562)
| ~ c1_1(X0)
| ssSkP2(X0) ) ).
cnf(clause33,negated_conjecture,
( c2_2(X0,a562)
| ssSkP2(X0) ) ).
cnf(clause36,negated_conjecture,
( c1_2(X0,a557)
| ssSkP1(X0) ) ).
cnf(u852,negated_conjecture,
( c5_2(X0,a579)
| c4_2(X0,a559)
| ssSkP0(X0)
| ssSkP3(X0) ) ).
cnf(u908,negated_conjecture,
( c5_2(X0,a579)
| ~ ssSkP1(X0)
| ssSkP3(X0)
| c3_2(X0,a559)
| c5_1(X0)
| ~ c4_1(X0) ) ).
cnf(clause38,negated_conjecture,
( c5_2(X0,a548)
| ssSkP0(X0) ) ).
cnf(clause19,negated_conjecture,
( ssSkP1(X0)
| ndr1_1(X0) ) ).
cnf(u872,negated_conjecture,
( ~ c4_2(X0,a579)
| ssSkP0(X0)
| ssSkP3(X0)
| c1_2(X0,a579)
| ~ c1_1(X0)
| c3_2(X0,a559) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN538-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 16:26:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 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
% 2.02/0.68 % (3496829)Input is clausal, will run a generic CNF schedule.
% 2.02/0.68 % (3496886)lrs+10_1_sil=8000:sp=occurrence:random_seed=1753016598:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.02/0.68 % (3496885)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3106450479:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.02/0.68 % (3496887)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4065127870:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.02/0.68 % (3496886)First to succeed.
% 2.02/0.68 % (3496886)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3496829"
% 2.02/0.68 % (3496882)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=795107320:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.02/0.68 % (3496883)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4083415334:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.02/0.68 % (3496887)Refutation not found, incomplete strategy
% 2.02/0.68 % (3496887)------------------------------
% 2.02/0.68 % (3496887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/0.68 % (3496887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.68 % (3496887)CaDiCaL version: 2.1.3
% 2.02/0.68 % (3496887)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.68 % (3496887)Time elapsed: 0.005 s
% 2.02/0.68 % (3496887)Peak memory usage: 88 MB
% 2.02/0.68 % (3496887)Instructions burned: 15 (million)
% 2.02/0.68 % (3496888)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=261672835:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.02/0.68 % (3496890)dis-21_1_sil=8000:lcm=predicate:random_seed=805244679: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)
% 2.02/0.68 % (3496890)Also succeeded, but the first one will report.
% 2.02/0.68 % (3496888)Refutation not found, incomplete strategy
% 2.02/0.68 % (3496888)------------------------------
% 2.02/0.68 % (3496888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/0.68 % (3496888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.68 % (3496888)CaDiCaL version: 2.1.3
% 2.02/0.68 % (3496888)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.68 % (3496888)Time elapsed: 0.003 s
% 2.02/0.68 % (3496888)Peak memory usage: 88 MB
% 2.02/0.68 % (3496888)Instructions burned: 8 (million)
% 2.02/0.68 % (3496887)------------------------------
% 2.02/0.68 % (3496887)------------------------------
% 2.02/0.68 % SZS status Satisfiable for theBenchmark
% 2.02/0.68 % SZS output start Saturation.
% See solution above
% 2.02/0.69 % SZS output start Definitions and Model Updates.
% 2.02/0.69 % SZS output end Definitions and Model Updates.
% 2.02/0.69 % (3496886)------------------------------
% 2.02/0.69 % (3496886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/0.69 % (3496886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.69 % (3496886)CaDiCaL version: 2.1.3
% 2.02/0.69 % (3496886)Termination reason: Satisfiable
% 2.02/0.69 % (3496886)Time elapsed: 0.005 s
% 2.02/0.69 % (3496886)Peak memory usage: 89 MB
% 2.02/0.69 % (3496886)Instructions burned: 10 (million)
% 2.02/0.69 % (3496886)------------------------------
% 2.02/0.69 % (3496886)------------------------------
% 2.02/0.69 % (3496829)Success in time 0.251 s
% 2.02/0.69 % Vampire exiting
%------------------------------------------------------------------------------