%------------------------------------------------------------------------------
% 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 : n019.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 : CounterSatisfiable 0.19s 1.13s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u238,negated_conjecture,
c3_0 ).
cnf(u258,negated_conjecture,
ndr1_0 ).
cnf(u228,negated_conjecture,
( c1_1(X45)
| c5_1(X45)
| c4_1(X45) ) ).
cnf(u241,negated_conjecture,
~ c1_0 ).
cnf(u245,negated_conjecture,
c5_1(a585) ).
cnf(u266,negated_conjecture,
c4_0 ).
cnf(u252,negated_conjecture,
~ c1_1(a585) ).
cnf(u622,negated_conjecture,
~ sP0 ).
cnf(u278,negated_conjecture,
~ c2_0 ).
cnf(u312,negated_conjecture,
~ c3_1(X40) ).
cnf(u636,negated_conjecture,
~ sP2 ).
cnf(u347,negated_conjecture,
( c2_2(X36,a576)
| c3_1(X36)
| ~ c2_1(X36) ) ).
cnf(u351,negated_conjecture,
( ~ c5_2(X36,a576)
| c3_1(X36)
| ~ c2_1(X36) ) ).
cnf(u355,negated_conjecture,
( ndr1_1(X36)
| c3_1(X36)
| ~ c2_1(X36) ) ).
cnf(u359,negated_conjecture,
~ c2_1(X35) ).
cnf(u365,negated_conjecture,
( ~ c3_1(X34)
| c4_1(X34) ) ).
cnf(u391,negated_conjecture,
c5_0 ).
cnf(u646,negated_conjecture,
~ sP3 ).
cnf(u681,negated_conjecture,
~ sP4 ).
cnf(u447,negated_conjecture,
( ~ c5_1(X22)
| ~ c2_1(X22) ) ).
cnf(u462,negated_conjecture,
~ ndr1_1(a565) ).
cnf(u470,negated_conjecture,
~ c1_1(a565) ).
cnf(u475,negated_conjecture,
( ~ c4_1(X17)
| ~ ndr1_1(X17)
| c1_2(X17,X18)
| ~ c2_2(X17,X18)
| c3_2(X17,X18)
| c5_1(X17) ) ).
cnf(u720,negated_conjecture,
~ sP7 ).
cnf(u703,negated_conjecture,
~ sP6 ).
cnf(u490,negated_conjecture,
~ ndr1_1(a561) ).
cnf(u497,negated_conjecture,
~ c1_1(a561) ).
cnf(u502,negated_conjecture,
( ~ c4_1(X13)
| ~ c3_1(X13)
| c3_2(X13,a560) ) ).
cnf(u730,negated_conjecture,
~ sP8 ).
cnf(u509,negated_conjecture,
( ~ c4_1(X13)
| ~ c3_1(X13)
| c5_2(X13,a560) ) ).
cnf(u513,negated_conjecture,
( ~ c4_1(X13)
| ~ c3_1(X13)
| ndr1_1(X13) ) ).
cnf(u743,negated_conjecture,
~ sP10 ).
cnf(u533,negated_conjecture,
( c4_1(X10)
| ~ c3_1(X10)
| c1_1(X10) ) ).
cnf(u556,negated_conjecture,
( c4_1(X7)
| ~ ndr1_1(X7)
| ~ c3_2(X7,X8)
| c1_2(X7,X8)
| c4_2(X7,X8)
| ~ c3_1(X7) ) ).
cnf(u581,negated_conjecture,
~ ndr1_1(a551) ).
cnf(u595,negated_conjecture,
~ c1_1(a551) ).
cnf(u606,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_1(X2)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| c2_1(X2) ) ).
cnf(u756,negated_conjecture,
~ sP12 ).
cnf(u789,negated_conjecture,
c5_1(a565) ).
cnf(u793,negated_conjecture,
c4_1(a561) ).
cnf(u800,negated_conjecture,
c4_1(a551) ).
cnf(u92,axiom,
( ~ sP1(X0)
| ~ c1_2(X0,a580) ) ).
cnf(u55,axiom,
( ~ sP9(X0)
| ~ c5_2(X0,a558) ) ).
cnf(u91,axiom,
( ~ sP1(X0)
| c2_2(X0,a580) ) ).
cnf(u54,axiom,
( ~ sP9(X0)
| ~ c3_2(X0,a558) ) ).
cnf(u46,axiom,
( ~ sP11(X0)
| ~ c4_2(X0,a549) ) ).
cnf(u805,negated_conjecture,
( c2_1(X0)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| c4_1(X0) ) ).
cnf(u68,axiom,
( ~ sP5(X0)
| c4_2(X0,a563) ) ).
cnf(u70,axiom,
( ~ sP5(X0)
| c1_2(X0,a563) ) ).
cnf(u810,negated_conjecture,
( c5_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| c1_2(X0,X2)
| ~ c2_2(X0,X2)
| c3_2(X0,X2) ) ).
cnf(u49,axiom,
( ~ sP11(X0)
| ndr1_1(X0) ) ).
cnf(u47,axiom,
( ~ sP11(X0)
| c2_2(X0,a549) ) ).
cnf(u93,axiom,
( ~ sP1(X0)
| ndr1_1(X0) ) ).
cnf(u48,axiom,
( ~ sP11(X0)
| c5_2(X0,a549) ) ).
cnf(u53,axiom,
( ~ sP9(X0)
| c2_2(X0,a558) ) ).
cnf(u808,negated_conjecture,
( c4_1(X0)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ c3_2(X0,X1) ) ).
cnf(u69,axiom,
( ~ sP5(X0)
| ~ c2_2(X0,a563) ) ).
cnf(u56,axiom,
( ~ sP9(X0)
| ndr1_1(X0) ) ).
cnf(u71,axiom,
( ~ sP5(X0)
| ndr1_1(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN538+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n019.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 16:26:49 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 0.19/1.13 % (4135720)Detected formulas, will run a generic FOF schedule.
% 0.19/1.13 % (4135789)dis-21_1_sil=8000:lcm=predicate:random_seed=1307509485:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.19/1.13 % (4135789)First to succeed.
% 0.19/1.13 % (4135789)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4135720"
% 0.19/1.13 % (4135787)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3039438520:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.19/1.13 % (4135785)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2183946002:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.19/1.13 % (4135783)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=1139288406:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.19/1.13 % (4135786)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3815059907:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.19/1.13 % (4135784)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3401709885:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.19/1.13 % (4135788)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3448422027:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.19/1.13 % (4135788)Refutation not found, incomplete strategy
% 0.19/1.13 % (4135788)------------------------------
% 0.19/1.13 % (4135788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.13 % (4135788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.13 % (4135788)CaDiCaL version: 2.1.3
% 0.19/1.13 % (4135788)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.13 % (4135788)Time elapsed: 0.005 s
% 0.19/1.13 % (4135788)Peak memory usage: 89 MB
% 0.19/1.13 % (4135788)Instructions burned: 7 (million)
% 0.19/1.13 % (4135786)Refutation not found, incomplete strategy
% 0.19/1.13 % (4135786)------------------------------
% 0.19/1.13 % (4135786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.13 % (4135786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.13 % (4135786)CaDiCaL version: 2.1.3
% 0.19/1.13 % (4135786)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.13 % (4135786)Time elapsed: 0.012 s
% 0.19/1.13 % (4135786)Peak memory usage: 88 MB
% 0.19/1.13 % (4135786)Instructions burned: 20 (million)
% 0.19/1.13 % (4135787)Instruction limit reached!
% 0.19/1.13 % (4135787)------------------------------
% 0.19/1.13 % (4135787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.13 % (4135787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.13 % (4135787)CaDiCaL version: 2.1.3
% 0.19/1.13 % (4135787)Termination reason: Instruction limit
% 0.19/1.13 % (4135787)Termination phase: Saturation
% 0.19/1.13 % (4135787)Time elapsed: 0.059 s
% 0.19/1.13 % (4135787)Peak memory usage: 88 MB
% 0.19/1.13 % (4135787)Instructions burned: 119 (million)
% 0.19/1.13 % SZS status CounterSatisfiable for theBenchmark
% 0.19/1.13 % SZS output start Saturation.
% See solution above
% 0.19/1.13 % SZS output start Definitions and Model Updates.
% 0.19/1.13 % SZS output end Definitions and Model Updates.
% 0.19/1.13 % (4135789)------------------------------
% 0.19/1.13 % (4135789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.13 % (4135789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.13 % (4135789)CaDiCaL version: 2.1.3
% 0.19/1.13 % (4135789)Termination reason: Satisfiable
% 0.19/1.13 % (4135789)Time elapsed: 0.003 s
% 0.19/1.13 % (4135789)Peak memory usage: 89 MB
% 0.19/1.13 % (4135789)Instructions burned: 7 (million)
% 0.19/1.13 % (4135789)------------------------------
% 0.19/1.13 % (4135789)------------------------------
% 0.19/1.13 % (4135720)Success in time 0.267 s
% 0.19/1.13 % Vampire exiting
%------------------------------------------------------------------------------