%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN541+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 : n006.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 3.61s 1.18s
% Output : Saturation 3.61s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u660,negated_conjecture,
~ sP0 ).
cnf(u237,negated_conjecture,
c1_0 ).
cnf(u252,negated_conjecture,
ndr1_0 ).
cnf(u259,negated_conjecture,
c4_0 ).
cnf(u454,negated_conjecture,
c3_0 ).
cnf(u296,negated_conjecture,
ndr1_1(a769) ).
cnf(u278,negated_conjecture,
( c3_2(a769,X44)
| c4_2(a769,X44)
| c1_2(a769,X44) ) ).
cnf(u282,negated_conjecture,
~ c3_1(a769) ).
cnf(u286,negated_conjecture,
~ c2_2(a769,a770) ).
cnf(u290,negated_conjecture,
c3_2(a769,a770) ).
cnf(u294,negated_conjecture,
c4_2(a769,a770) ).
cnf(u686,negated_conjecture,
~ sP1 ).
cnf(u317,negated_conjecture,
~ c4_1(a765) ).
cnf(u322,negated_conjecture,
~ ndr1_1(a765) ).
cnf(u329,negated_conjecture,
c5_1(a765) ).
cnf(u334,negated_conjecture,
( c4_1(X39)
| c3_1(X39)
| ~ ndr1_1(X39)
| ~ c3_2(X39,X40)
| c1_2(X39,X40)
| c2_2(X39,X40) ) ).
cnf(u341,negated_conjecture,
c2_0 ).
cnf(u344,negated_conjecture,
( ~ c2_1(X36)
| c3_1(X36)
| ~ ndr1_1(X36)
| c4_2(X36,X37)
| ~ c2_2(X36,X37)
| ~ c5_2(X36,X37) ) ).
cnf(u369,negated_conjecture,
( ~ c1_1(X34)
| c2_1(X34)
| ~ ndr1_1(X34)
| ~ c2_2(X34,X35)
| c3_2(X34,X35)
| ~ c1_2(X34,X35) ) ).
cnf(u373,negated_conjecture,
( ~ c2_1(X33)
| c2_2(X33,a762) ) ).
cnf(u380,negated_conjecture,
( ~ c2_1(X33)
| c3_2(X33,a762) ) ).
cnf(u384,negated_conjecture,
( ~ c2_1(X33)
| ndr1_1(X33) ) ).
cnf(u391,negated_conjecture,
( ~ c2_1(X28)
| ~ c5_1(X28)
| ~ ndr1_1(X28)
| ~ c2_2(X28,X29)
| ~ c1_2(X28,X29) ) ).
cnf(u712,negated_conjecture,
~ sP2 ).
cnf(u410,negated_conjecture,
( c1_1(X26)
| c1_2(X26,X27)
| ~ c2_2(X26,a758)
| ~ ndr1_1(X26)
| ~ c4_2(X26,X27) ) ).
cnf(u414,negated_conjecture,
( c1_1(X26)
| c1_2(X26,X27)
| c5_2(X26,a758)
| ~ ndr1_1(X26)
| ~ c4_2(X26,X27) ) ).
cnf(u491,negated_conjecture,
c5_0 ).
cnf(u426,negated_conjecture,
~ c1_1(a757) ).
cnf(u431,negated_conjecture,
c4_1(a757) ).
cnf(u458,negated_conjecture,
( c3_1(X18)
| ~ ndr1_1(X18)
| ~ c1_2(X18,X19)
| c2_2(X18,X19)
| ~ c3_2(X18,X19)
| ~ c5_1(X18) ) ).
cnf(u481,negated_conjecture,
( c3_2(X12,X13)
| ~ c3_2(X12,X14)
| ~ c1_2(X12,X14)
| ~ c4_2(X12,X14)
| ~ ndr1_1(X12)
| ~ c5_2(X12,X13)
| c5_2(X12,a752)
| ~ c4_2(X12,X13) ) ).
cnf(u739,negated_conjecture,
~ sP4 ).
cnf(u488,negated_conjecture,
( c3_2(X12,X13)
| ~ c3_2(X12,X14)
| ~ c1_2(X12,X14)
| ~ c4_2(X12,X14)
| ~ ndr1_1(X12)
| ~ c5_2(X12,X13)
| c3_2(X12,a752)
| ~ c4_2(X12,X13) ) ).
cnf(u766,negated_conjecture,
~ sP5 ).
cnf(u498,negated_conjecture,
( ~ c5_1(X10)
| c1_2(X10,a746)
| ~ ndr1_1(X10)
| ~ c1_2(X10,X11)
| ~ c3_2(X10,X11)
| ~ c5_2(X10,X11) ) ).
cnf(u802,negated_conjecture,
~ sP6 ).
cnf(u828,negated_conjecture,
~ sP7 ).
cnf(u508,negated_conjecture,
( ~ c5_1(X10)
| c5_2(X10,a746)
| ~ ndr1_1(X10)
| ~ c1_2(X10,X11)
| ~ c3_2(X10,X11)
| ~ c5_2(X10,X11) ) ).
cnf(u512,negated_conjecture,
~ c4_1(a741) ).
cnf(u516,negated_conjecture,
c3_1(a741) ).
cnf(u520,negated_conjecture,
c2_1(a741) ).
cnf(u528,negated_conjecture,
( ~ c1_1(X9)
| c3_1(X9)
| c4_1(X9) ) ).
cnf(u553,negated_conjecture,
~ c3_1(a736) ).
cnf(u557,negated_conjecture,
c4_1(a736) ).
cnf(u561,negated_conjecture,
~ c3_2(a736,a737) ).
cnf(u565,negated_conjecture,
~ c4_2(a736,a737) ).
cnf(u569,negated_conjecture,
c5_2(a736,a737) ).
cnf(u947,negated_conjecture,
~ ndr1_1(a736) ).
cnf(u855,negated_conjecture,
~ sP8 ).
cnf(u581,negated_conjecture,
c4_1(a734) ).
cnf(u585,negated_conjecture,
~ c5_1(a734) ).
cnf(u610,negated_conjecture,
( ~ c4_1(X7)
| ~ c3_1(X7)
| ~ c3_2(X7,a730) ) ).
cnf(u614,negated_conjecture,
( ~ c4_1(X7)
| ~ c3_1(X7)
| ~ c2_2(X7,a730) ) ).
cnf(u618,negated_conjecture,
( ~ c4_1(X7)
| ~ c3_1(X7)
| ndr1_1(X7) ) ).
cnf(u622,negated_conjecture,
c4_1(a729) ).
cnf(u872,negated_conjecture,
~ sP9 ).
cnf(u629,negated_conjecture,
~ ndr1_1(a729) ).
cnf(u1077,negated_conjecture,
~ c5_1(a741) ).
cnf(u918,negated_conjecture,
~ ndr1_1(a734) ).
cnf(u1041,negated_conjecture,
ndr1_1(a731) ).
cnf(u934,negated_conjecture,
c3_1(a731) ).
cnf(u943,negated_conjecture,
~ c5_1(a736) ).
cnf(u965,negated_conjecture,
~ c5_1(a769) ).
cnf(u974,negated_conjecture,
~ ndr1_1(a757) ).
cnf(u1013,negated_conjecture,
~ c5_1(a731) ).
cnf(u1034,negated_conjecture,
~ c3_1(a757) ).
cnf(u1039,negated_conjecture,
~ c3_1(a734) ).
cnf(u1047,negated_conjecture,
~ c3_1(a729) ).
cnf(u1066,negated_conjecture,
~ c3_2(a731,a730) ).
cnf(u1094,negated_conjecture,
~ c2_2(a731,a730) ).
cnf(u1115,negated_conjecture,
~ c4_2(a731,a730) ).
cnf(u1173,negated_conjecture,
~ c2_2(a769,a758) ).
cnf(u1176,negated_conjecture,
( ~ c4_2(a769,X1)
| c1_2(a769,X1) ) ).
cnf(u990,negated_conjecture,
c3_2(a741,a762) ).
cnf(u1190,negated_conjecture,
c1_2(a769,a770) ).
cnf(u992,negated_conjecture,
( c4_1(X0)
| c3_1(X0)
| c1_2(X0,X1)
| c5_2(X0,a758)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ).
cnf(u957,negated_conjecture,
ndr1_1(a741) ).
cnf(u1146,negated_conjecture,
( c3_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| c1_2(X0,X2)
| ~ c2_2(X0,a758)
| ~ c4_2(X0,X2)
| c2_2(X0,a762) ) ).
cnf(u939,negated_conjecture,
( c2_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| c1_2(X0,X2)
| c5_2(X0,a758)
| ~ c4_2(X0,X2) ) ).
cnf(u993,negated_conjecture,
( c4_1(X0)
| c3_1(X0)
| c1_2(X0,X1)
| ~ c2_2(X0,a758)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ).
cnf(u986,negated_conjecture,
c2_2(a731,a762) ).
cnf(u1145,negated_conjecture,
( c3_2(X0,a762)
| ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| c1_2(X0,X2)
| ~ c2_2(X0,a758)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0) ) ).
cnf(u1155,negated_conjecture,
( c3_1(X0)
| ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| c1_2(X0,X2)
| c5_2(X0,a758)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c4_2(X0,X3)
| ~ c2_2(X0,X3)
| ~ c5_2(X0,X3) ) ).
cnf(u1156,negated_conjecture,
( ~ c5_1(X0)
| ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| c1_2(X0,X2)
| c5_2(X0,a758)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X3)
| ~ c1_2(X0,X3) ) ).
cnf(u82,axiom,
( ~ sP3(X0)
| ndr1_1(X0) ) ).
cnf(u1152,negated_conjecture,
( c3_2(X0,a762)
| ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| c1_2(X0,X2)
| c5_2(X0,a758)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0) ) ).
cnf(u987,negated_conjecture,
c2_2(a741,a762) ).
cnf(u80,axiom,
( ~ sP3(X0)
| c5_2(X0,a756) ) ).
cnf(u79,axiom,
( ~ sP3(X0)
| ~ c4_2(X0,a756) ) ).
cnf(u81,axiom,
( ~ sP3(X0)
| c1_2(X0,a756) ) ).
cnf(u1148,negated_conjecture,
( c3_1(X0)
| ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| c1_2(X0,X2)
| ~ c2_2(X0,a758)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c4_2(X0,X3)
| ~ c2_2(X0,X3)
| ~ c5_2(X0,X3) ) ).
cnf(u198,negated_conjecture,
c2_1(a731) ).
cnf(u989,negated_conjecture,
c3_2(a731,a762) ).
cnf(u1149,negated_conjecture,
( ~ c5_1(X0)
| ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| c1_2(X0,X2)
| ~ c2_2(X0,a758)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X3)
| ~ c1_2(X0,X3) ) ).
cnf(u1153,negated_conjecture,
( c3_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| c1_2(X0,X2)
| c5_2(X0,a758)
| ~ c4_2(X0,X2)
| c2_2(X0,a762) ) ).
cnf(u938,negated_conjecture,
( c2_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| c1_2(X0,X2)
| ~ c2_2(X0,a758)
| ~ c4_2(X0,X2) ) ).
cnf(u197,negated_conjecture,
c4_1(a731) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN541+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n006.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 16:26:55 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 3.61/1.18 % (4093385)Detected formulas, will run a generic FOF schedule.
% 3.61/1.18 % (4093390)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=2123380723:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.61/1.18 % (4093391)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=2597797869:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.61/1.18 % (4093394)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4065748246:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.61/1.18 % (4093393)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3148674031:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.61/1.18 % (4093392)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=3107415161:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.61/1.18 % (4093396)dis-21_1_sil=8000:lcm=predicate:random_seed=1544253071: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)
% 3.61/1.18 % (4093395)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3041073497:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.61/1.18 % (4093395)Refutation not found, incomplete strategy
% 3.61/1.18 % (4093395)------------------------------
% 3.61/1.18 % (4093395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.18 % (4093395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.18 % (4093395)CaDiCaL version: 2.1.3
% 3.61/1.18 % (4093395)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.18 % (4093395)Time elapsed: 0.006 s
% 3.61/1.18 % (4093395)Peak memory usage: 89 MB
% 3.61/1.18 % (4093395)Instructions burned: 8 (million)
% 3.61/1.18 % (4093396)First to succeed.
% 3.61/1.18 % (4093396)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4093385"
% 3.61/1.18 % (4093393)Refutation not found, incomplete strategy
% 3.61/1.18 % (4093393)------------------------------
% 3.61/1.18 % (4093393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.18 % (4093393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.18 % (4093393)CaDiCaL version: 2.1.3
% 3.61/1.18 % (4093393)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.18 % (4093393)Time elapsed: 0.013 s
% 3.61/1.18 % (4093393)Peak memory usage: 88 MB
% 3.61/1.18 % (4093393)Instructions burned: 22 (million)
% 3.61/1.18 % (4093394)Instruction limit reached!
% 3.61/1.18 % (4093394)------------------------------
% 3.61/1.18 % (4093394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.18 % (4093394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.18 % (4093394)CaDiCaL version: 2.1.3
% 3.61/1.18 % (4093394)Termination reason: Instruction limit
% 3.61/1.18 % (4093394)Termination phase: Saturation
% 3.61/1.18 % (4093394)Time elapsed: 0.065 s
% 3.61/1.18 % (4093394)Peak memory usage: 88 MB
% 3.61/1.18 % (4093394)Instructions burned: 119 (million)
% 3.61/1.18 % (4093404)lrs+10_1_sil=8000:sp=occurrence:random_seed=4150205283:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.61/1.18 % (4093404)Also succeeded, but the first one will report.
% 3.61/1.18 % (4093393)------------------------------
% 3.61/1.18 % (4093393)------------------------------
% 3.61/1.18 % SZS status CounterSatisfiable for theBenchmark
% 3.61/1.18 % SZS output start Saturation.
% See solution above
% 3.61/1.18 % SZS output start Definitions and Model Updates.
% 3.61/1.18 % SZS output end Definitions and Model Updates.
% 3.61/1.18 % (4093396)------------------------------
% 3.61/1.18 % (4093396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.18 % (4093396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.18 % (4093396)CaDiCaL version: 2.1.3
% 3.61/1.18 % (4093396)Termination reason: Satisfiable
% 3.61/1.18 % (4093396)Time elapsed: 0.010 s
% 3.61/1.18 % (4093396)Peak memory usage: 89 MB
% 3.61/1.18 % (4093396)Instructions burned: 14 (million)
% 3.61/1.18 % (4093396)------------------------------
% 3.61/1.18 % (4093396)------------------------------
% 3.61/1.18 % (4093385)Success in time 0.44 s
% 3.61/1.18 % Vampire exiting
%------------------------------------------------------------------------------