%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL647+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:53:49 AM UTC 2026
% Result : CounterSatisfiable 3.16s 1.59s
% Output : Saturation 3.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u80,negated_conjecture,
~ r1(sK0,sK0) ).
cnf(u97,negated_conjecture,
p2(sK12(sK15)) ).
cnf(u101,negated_conjecture,
p1(sK15) ).
cnf(u106,negated_conjecture,
p2(sK12(sK14)) ).
cnf(u110,negated_conjecture,
p1(sK14) ).
cnf(u115,negated_conjecture,
p2(sK12(sK13)) ).
cnf(u119,negated_conjecture,
p1(sK13) ).
cnf(u159,negated_conjecture,
p2(sK10(sK15)) ).
cnf(u163,negated_conjecture,
p3(sK15) ).
cnf(u169,negated_conjecture,
p2(sK10(sK13)) ).
cnf(u173,negated_conjecture,
p3(sK13) ).
cnf(u209,negated_conjecture,
p2(sK8(sK15)) ).
cnf(u213,negated_conjecture,
p5(sK15) ).
cnf(u218,negated_conjecture,
p2(sK8(sK14)) ).
cnf(u222,negated_conjecture,
p5(sK14) ).
cnf(u259,negated_conjecture,
p2(sK6(sK15)) ).
cnf(u263,negated_conjecture,
p4(sK15) ).
cnf(u268,negated_conjecture,
p2(sK6(sK14)) ).
cnf(u272,negated_conjecture,
p4(sK14) ).
cnf(u277,negated_conjecture,
p2(sK6(sK13)) ).
cnf(u281,negated_conjecture,
p4(sK13) ).
cnf(u296,negated_conjecture,
p2(sK5(sK15)) ).
cnf(u300,negated_conjecture,
p6(sK15) ).
cnf(u305,negated_conjecture,
p2(sK5(sK14)) ).
cnf(u309,negated_conjecture,
p6(sK14) ).
cnf(u314,negated_conjecture,
p2(sK5(sK13)) ).
cnf(u318,negated_conjecture,
p6(sK13) ).
cnf(u413,negated_conjecture,
p3(sK16) ).
cnf(u427,negated_conjecture,
p5(sK16) ).
cnf(u443,negated_conjecture,
p4(sK16) ).
cnf(u452,negated_conjecture,
p6(sK16) ).
cnf(u9,negated_conjecture,
r1(sK0,sK16) ).
cnf(u58,negated_conjecture,
( ~ r1(sK15,X0)
| p6(X0) ) ).
cnf(u19,negated_conjecture,
( r1(X29,sK11(X29))
| ~ r1(sK0,X29)
| p1(X29) ) ).
cnf(u37,negated_conjecture,
( r1(X11,sK2(X11))
| ~ r1(sK0,X11)
| p4(X11) ) ).
cnf(u47,negated_conjecture,
( ~ r1(sK16,X0)
| p2(X0) ) ).
cnf(u569,negated_conjecture,
p5(sK9(sK14)) ).
cnf(u408,negated_conjecture,
p2(sK12(sK16)) ).
cnf(u40,negated_conjecture,
( ~ r1(sK0,X7)
| ~ r1(X7,X8)
| p2(X8) ) ).
cnf(u12,negated_conjecture,
~ p3(sK14) ).
cnf(u27,negated_conjecture,
( r1(X21,sK7(X21))
| ~ r1(sK0,X21)
| p5(X21) ) ).
cnf(u42,negated_conjecture,
( ~ r1(sK0,X3)
| ~ r1(X3,X4)
| p5(X4) ) ).
cnf(u45,negated_conjecture,
( ~ r1(sK14,X0)
| p2(X0) ) ).
cnf(u245,negated_conjecture,
p2(sK7(sK13)) ).
cnf(u55,negated_conjecture,
( ~ r1(sK16,X0)
| p5(X0) ) ).
cnf(u49,negated_conjecture,
( ~ r1(sK14,X0)
| p4(X0) ) ).
cnf(u57,negated_conjecture,
( ~ r1(sK14,X0)
| p6(X0) ) ).
cnf(u22,negated_conjecture,
( ~ p3(sK9(X25))
| ~ r1(sK0,X25)
| p3(X25) ) ).
cnf(u487,negated_conjecture,
p4(sK7(sK13)) ).
cnf(u24,negated_conjecture,
( ~ p1(sK8(X23))
| ~ r1(sK0,X23)
| p5(X23) ) ).
cnf(u34,negated_conjecture,
( ~ p4(sK3(X13))
| ~ r1(sK0,X13)
| p6(X13) ) ).
cnf(u552,negated_conjecture,
p5(sK8(sK13)) ).
cnf(u596,negated_conjecture,
p5(sK12(sK16)) ).
cnf(u614,negated_conjecture,
p6(sK8(sK13)) ).
cnf(u20,negated_conjecture,
( ~ p1(sK10(X27))
| ~ r1(sK0,X27)
| p3(X27) ) ).
cnf(u30,negated_conjecture,
( ~ p2(sK5(X17))
| ~ r1(sK0,X17)
| p6(X17) ) ).
cnf(u32,negated_conjecture,
( ~ p4(sK4(X15))
| ~ r1(sK0,X15)
| p4(X15) ) ).
cnf(u537,negated_conjecture,
p4(sK11(sK16)) ).
cnf(u165,negated_conjecture,
p2(sK10(sK14)) ).
cnf(u21,negated_conjecture,
( r1(X27,sK10(X27))
| ~ r1(sK0,X27)
| p3(X27) ) ).
cnf(u31,negated_conjecture,
( r1(X17,sK5(X17))
| ~ r1(sK0,X17)
| p6(X17) ) ).
cnf(u409,negated_conjecture,
p2(sK11(sK16)) ).
cnf(u615,negated_conjecture,
p6(sK7(sK13)) ).
cnf(u11,negated_conjecture,
r1(sK0,sK15) ).
cnf(u44,negated_conjecture,
( ~ r1(sK13,X0)
| p2(X0) ) ).
cnf(u29,negated_conjecture,
( r1(X19,sK6(X19))
| ~ r1(sK0,X19)
| p4(X19) ) ).
cnf(u39,negated_conjecture,
( r1(X9,sK1(X9))
| ~ r1(sK0,X9)
| p6(X9) ) ).
cnf(u41,negated_conjecture,
( ~ r1(sK0,X5)
| ~ r1(X5,X6)
| p4(X6) ) ).
cnf(u51,negated_conjecture,
( ~ r1(sK16,X0)
| p4(X0) ) ).
cnf(u8,negated_conjecture,
~ p1(sK16) ).
cnf(u18,negated_conjecture,
( ~ p3(sK11(X29))
| ~ r1(sK0,X29)
| p1(X29) ) ).
cnf(u536,negated_conjecture,
p4(sK12(sK16)) ).
cnf(u632,negated_conjecture,
p6(sK10(sK14)) ).
cnf(u14,negated_conjecture,
~ p5(sK13) ).
cnf(u59,negated_conjecture,
( ~ r1(sK16,X0)
| p6(X0) ) ).
cnf(u16,negated_conjecture,
( ~ p1(sK12(X31))
| ~ r1(sK0,X31)
| p1(X31) ) ).
cnf(u26,negated_conjecture,
( ~ p3(sK7(X21))
| ~ r1(sK0,X21)
| p5(X21) ) ).
cnf(u54,negated_conjecture,
( ~ r1(sK15,X0)
| p5(X0) ) ).
cnf(u15,negated_conjecture,
r1(sK0,sK13) ).
cnf(u56,negated_conjecture,
( ~ r1(sK13,X0)
| p6(X0) ) ).
cnf(u17,negated_conjecture,
( r1(X31,sK12(X31))
| ~ r1(sK0,X31)
| p1(X31) ) ).
cnf(u553,negated_conjecture,
p5(sK7(sK13)) ).
cnf(u597,negated_conjecture,
p5(sK11(sK16)) ).
cnf(u504,negated_conjecture,
p4(sK10(sK14)) ).
cnf(u224,negated_conjecture,
p2(sK8(sK13)) ).
cnf(u665,negated_conjecture,
p6(sK11(sK16)) ).
cnf(u52,negated_conjecture,
( ~ r1(sK13,X0)
| p5(X0) ) ).
cnf(u13,negated_conjecture,
r1(sK0,sK14) ).
cnf(u23,negated_conjecture,
( r1(X25,sK9(X25))
| ~ r1(sK0,X25)
| p3(X25) ) ).
cnf(u25,negated_conjecture,
( r1(X23,sK8(X23))
| ~ r1(sK0,X23)
| p5(X23) ) ).
cnf(u35,negated_conjecture,
( r1(X13,sK3(X13))
| ~ r1(sK0,X13)
| p6(X13) ) ).
cnf(u664,negated_conjecture,
p6(sK12(sK16)) ).
cnf(u53,negated_conjecture,
( ~ r1(sK14,X0)
| p5(X0) ) ).
cnf(u33,negated_conjecture,
( r1(X15,sK4(X15))
| ~ r1(sK0,X15)
| p4(X15) ) ).
cnf(u43,negated_conjecture,
( ~ r1(sK0,X1)
| ~ r1(X1,X2)
| p6(X2) ) ).
cnf(u10,negated_conjecture,
~ p2(sK15) ).
cnf(u28,negated_conjecture,
( ~ p2(sK6(X19))
| ~ r1(sK0,X19)
| p4(X19) ) ).
cnf(u38,negated_conjecture,
( ~ p6(sK1(X9))
| ~ r1(sK0,X9)
| p6(X9) ) ).
cnf(u505,negated_conjecture,
p4(sK9(sK14)) ).
cnf(u50,negated_conjecture,
( ~ r1(sK15,X0)
| p4(X0) ) ).
cnf(u568,negated_conjecture,
p5(sK10(sK14)) ).
cnf(u486,negated_conjecture,
p4(sK8(sK13)) ).
cnf(u190,negated_conjecture,
p2(sK9(sK14)) ).
cnf(u36,negated_conjecture,
( ~ p6(sK2(X11))
| ~ r1(sK0,X11)
| p4(X11) ) ).
cnf(u46,negated_conjecture,
( ~ r1(sK15,X0)
| p2(X0) ) ).
cnf(u633,negated_conjecture,
p6(sK9(sK14)) ).
cnf(u48,negated_conjecture,
( ~ r1(sK13,X0)
| p4(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL647+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.34 % Computer : n017.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8046.5625MB
% 0.11/0.34 % OS : Linux 6.8.0-71-generic
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Sun Sep 27 16:09:20 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 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
% 3.16/1.50 % (2773320)Detected formulas, will run a generic FOF schedule.
% 3.16/1.50 % (2773325)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=1177677502:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.16/1.50 % (2773330)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2470336767:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.16/1.50 % (2773327)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=2481330334:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.16/1.50 % (2773329)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3831694219:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.16/1.50 % (2773331)dis-21_1_sil=8000:lcm=predicate:random_seed=3714453315: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)
% 3.16/1.50 % (2773328)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4049200091:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.16/1.50 % (2773326)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=2266526401:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.16/1.50 % (2773330)Refutation not found, incomplete strategy
% 3.16/1.50 % (2773330)------------------------------
% 3.16/1.50 % (2773330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.50 % (2773330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.50 % (2773330)CaDiCaL version: 2.1.3
% 3.16/1.50 % (2773330)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.50 % (2773330)Time elapsed: 0.003 s
% 3.16/1.50 % (2773330)Peak memory usage: 88 MB
% 3.16/1.50 % (2773330)Instructions burned: 3 (million)
% 3.16/1.50 % (2773328)Refutation not found, incomplete strategy
% 3.16/1.50 % (2773328)------------------------------
% 3.16/1.50 % (2773328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.50 % (2773328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.50 % (2773328)CaDiCaL version: 2.1.3
% 3.16/1.50 % (2773328)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.50 % (2773328)Time elapsed: 0.006 s
% 3.16/1.50 % (2773328)Peak memory usage: 88 MB
% 3.16/1.50 % (2773328)Instructions burned: 9 (million)
% 3.16/1.50 % (2773329)Refutation not found, incomplete strategy
% 3.16/1.50 % (2773329)------------------------------
% 3.16/1.50 % (2773329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.50 % (2773329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.50 % (2773329)CaDiCaL version: 2.1.3
% 3.16/1.50 % (2773329)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.50 % (2773329)Time elapsed: 0.009 s
% 3.16/1.50 % (2773329)Peak memory usage: 87 MB
% 3.16/1.50 % (2773329)Instructions burned: 17 (million)
% 3.16/1.50 % (2773331)Instruction limit reached!
% 3.16/1.50 % (2773331)------------------------------
% 3.16/1.50 % (2773331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.50 % (2773331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.50 % (2773331)CaDiCaL version: 2.1.3
% 3.16/1.50 % (2773331)Termination reason: Instruction limit
% 3.16/1.50 % (2773331)Termination phase: Saturation
% 3.16/1.50 % (2773331)Time elapsed: 0.068 s
% 3.16/1.50 % (2773331)Peak memory usage: 88 MB
% 3.16/1.50 % (2773331)Instructions burned: 130 (million)
% 3.16/1.50 % (2773339)lrs+10_1_sil=8000:sp=occurrence:random_seed=4223380855:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.16/1.50 % (2773339)First to succeed.
% 3.16/1.50 % (2773339)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2773320"
% 3.16/1.50 % (2773330)------------------------------
% 3.16/1.50 % (2773330)------------------------------
% 3.16/1.50 % (2773328)------------------------------
% 3.16/1.50 % (2773328)------------------------------
% 3.16/1.50 % (2773329)------------------------------
% 3.16/1.50 % (2773329)------------------------------
% 3.16/1.50 % (2773325)Also succeeded, but the first one will report.
% 3.16/1.50 % (2773341)lrs+10_1_sil=32000:urr=on:br=off:random_seed=972591461:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 3.16/1.59 % (2773341)Refutation not found, incomplete strategy
% 3.16/1.59 % (2773341)------------------------------
% 3.16/1.59 % (2773341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.59 % (2773341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.59 % (2773341)CaDiCaL version: 2.1.3
% 3.16/1.59 % (2773341)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.59 % (2773341)Time elapsed: 0.002 s
% 3.16/1.59 % (2773341)Peak memory usage: 88 MB
% 3.16/1.59 % (2773341)Instructions burned: 4 (million)
% 3.16/1.59 % (2773343)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4156505896:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.16/1.59 % (2773342)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1474391205:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.16/1.59 % (2773342)Refutation not found, incomplete strategy
% 3.16/1.59 % (2773342)------------------------------
% 3.16/1.59 % (2773342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.59 % (2773342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.59 % (2773342)CaDiCaL version: 2.1.3
% 3.16/1.59 % (2773342)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.59 % (2773342)Time elapsed: 0.003 s
% 3.16/1.59 % (2773342)Peak memory usage: 88 MB
% 3.16/1.59 % (2773342)Instructions burned: 3 (million)
% 3.16/1.59 % (2773343)Refutation not found, incomplete strategy
% 3.16/1.59 % (2773343)------------------------------
% 3.16/1.59 % (2773343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.59 % (2773343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.59 % (2773343)CaDiCaL version: 2.1.3
% 3.16/1.59 % (2773343)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.59 % (2773343)Time elapsed: 0.003 s
% 3.16/1.59 % (2773343)Peak memory usage: 88 MB
% 3.16/1.59 % (2773343)Instructions burned: 4 (million)
% 3.16/1.59 % SZS status CounterSatisfiable for theBenchmark
% 3.16/1.59 % SZS output start Saturation.
% See solution above
% 3.16/1.59 % SZS output start Definitions and Model Updates.
% 3.16/1.59 % SZS output end Definitions and Model Updates.
% 3.16/1.59 % (2773339)------------------------------
% 3.16/1.59 % (2773339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.59 % (2773339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.59 % (2773339)CaDiCaL version: 2.1.3
% 3.16/1.59 % (2773339)Termination reason: Satisfiable
% 3.16/1.59 % (2773339)Time elapsed: 0.007 s
% 3.16/1.59 % (2773339)Peak memory usage: 88 MB
% 3.16/1.59 % (2773339)Instructions burned: 9 (million)
% 3.16/1.59 % (2773339)------------------------------
% 3.16/1.59 % (2773339)------------------------------
% 3.16/1.59 % (2773320)Success in time 0.681 s
% 3.16/1.59 % Vampire exiting
%------------------------------------------------------------------------------