%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL639+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 11:53:42 AM UTC 2026
% Result : CounterSatisfiable 4.62s 1.42s
% Output : Saturation 4.62s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u43,negated_conjecture,
~ r1(sK0,sK12) ).
cnf(u62,negated_conjecture,
~ r1(sK0,sK0) ).
cnf(u99,negated_conjecture,
r1(sK11,sK9(sK11)) ).
cnf(u112,negated_conjecture,
r1(sK11,sK8(sK11)) ).
cnf(u140,negated_conjecture,
p1(sK4(sK11)) ).
cnf(u143,negated_conjecture,
( ~ r1(sK11,X0)
| ~ p1(X2)
| ~ r1(X1,X2)
| p1(X1)
| ~ r1(X0,X1) ) ).
cnf(u153,negated_conjecture,
r1(sK11,sK2(sK11)) ).
cnf(u166,negated_conjecture,
r1(sK11,sK3(sK11)) ).
cnf(u190,negated_conjecture,
~ p1(sK6(sK11)) ).
cnf(u201,negated_conjecture,
( ~ r1(sK6(sK11),X1)
| ~ p1(X0)
| p1(X1)
| ~ r1(X1,X0) ) ).
cnf(u243,negated_conjecture,
~ r1(sK0,sK13) ).
cnf(u274,negated_conjecture,
~ r1(sK0,sK2(sK11)) ).
cnf(u305,negated_conjecture,
~ r1(sK0,sK8(sK11)) ).
cnf(u336,negated_conjecture,
~ r1(sK0,sK9(sK11)) ).
cnf(u367,negated_conjecture,
~ r1(sK0,sK10(sK11)) ).
cnf(u398,negated_conjecture,
~ r1(sK0,sK6(sK11)) ).
cnf(u429,negated_conjecture,
~ r1(sK0,sK3(sK11)) ).
cnf(u223,negated_conjecture,
( ~ r1(sK0,sK2(X0))
| ~ r1(X1,X2)
| p1(X2)
| r1(X2,sK1(X2))
| ~ r1(sK0,X0)
| r1(sK2(X0),sK5(sK2(X0)))
| ~ r1(X0,X1) ) ).
cnf(u13,negated_conjecture,
r1(sK0,sK11) ).
cnf(u175,negated_conjecture,
( ~ r1(sK8(sK11),X1)
| ~ r1(X1,X0)
| p1(X1)
| ~ p1(X0) ) ).
cnf(u28,negated_conjecture,
( ~ r1(sK0,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| p1(X9)
| ~ r1(X9,X10)
| ~ p1(X10)
| r1(X7,sK3(X7)) ) ).
cnf(u34,negated_conjecture,
( ~ r1(sK0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p1(X3)
| r1(X3,sK1(X3))
| r1(X1,sK2(X1)) ) ).
cnf(u225,negated_conjecture,
( ~ r1(sK3(sK11),X1)
| ~ r1(X1,X0)
| p1(X1)
| ~ p1(X0) ) ).
cnf(u127,negated_conjecture,
( ~ p1(sK10(sK8(X0)))
| ~ r1(X1,X2)
| r1(X2,sK7(X2))
| ~ r1(sK0,X0)
| ~ r1(X0,X1)
| ~ r1(sK0,sK8(X0)) ) ).
cnf(u173,negated_conjecture,
( ~ r1(sK0,sK2(X0))
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(sK1(X2))
| ~ r1(sK0,X0)
| r1(sK2(X0),sK5(sK2(X0)))
| ~ r1(X0,X1) ) ).
cnf(u32,negated_conjecture,
( ~ r1(sK2(X1),X6)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p1(X3)
| r1(X3,sK1(X3))
| ~ r1(sK0,X1)
| p1(X6) ) ).
cnf(u24,negated_conjecture,
( r1(X13,sK6(X13))
| r1(X13,sK5(X13))
| ~ r1(sK0,X13) ) ).
cnf(u26,negated_conjecture,
( ~ r1(sK0,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| p1(X9)
| ~ r1(X9,X10)
| ~ p1(X10)
| r1(sK3(X7),sK4(X7)) ) ).
cnf(u172,negated_conjecture,
( ~ r1(sK0,sK2(X0))
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(sK1(X2))
| ~ r1(sK0,X0)
| p1(sK5(sK2(X0)))
| ~ r1(X0,X1) ) ).
cnf(u18,negated_conjecture,
( ~ r1(sK0,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p1(sK7(X18))
| r1(X16,sK8(X16)) ) ).
cnf(u20,negated_conjecture,
( ~ r1(sK0,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| r1(X18,sK7(X18))
| r1(X16,sK8(X16)) ) ).
cnf(u30,negated_conjecture,
( ~ p1(sK2(X1))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p1(X3)
| ~ p1(sK1(X3))
| ~ r1(sK0,X1) ) ).
cnf(u22,negated_conjecture,
( r1(X13,sK6(X13))
| p1(sK5(X13))
| ~ r1(sK0,X13) ) ).
cnf(u218,negated_conjecture,
( ~ r1(sK0,sK2(X0))
| ~ r1(X1,X2)
| p1(X2)
| r1(X2,sK1(X2))
| ~ r1(sK0,X0)
| p1(sK10(sK2(X0)))
| ~ r1(X0,X1) ) ).
cnf(u16,negated_conjecture,
( ~ r1(sK0,X22)
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| p1(X24)
| r1(X22,sK9(X22)) ) ).
cnf(u178,negated_conjecture,
( ~ r1(sK13,X1)
| ~ r1(X1,X0)
| p1(X1)
| ~ p1(X0) ) ).
cnf(u10,negated_conjecture,
r1(sK11,sK13) ).
cnf(u12,negated_conjecture,
r1(sK11,sK12) ).
cnf(u14,negated_conjecture,
( r1(X26,sK10(X26))
| ~ r1(sK0,X26) ) ).
cnf(u131,negated_conjecture,
( ~ p1(sK6(sK8(X0)))
| ~ r1(X1,X2)
| r1(X2,sK7(X2))
| ~ r1(sK0,X0)
| ~ r1(sK0,sK8(X0))
| ~ r1(X0,X1) ) ).
cnf(u168,negated_conjecture,
( ~ r1(sK0,sK2(X0))
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(sK1(X2))
| ~ r1(sK0,X0)
| p1(sK10(sK2(X0)))
| ~ r1(X0,X1) ) ).
cnf(u222,negated_conjecture,
( ~ r1(sK0,sK2(X0))
| ~ r1(X1,X2)
| p1(X2)
| r1(X2,sK1(X2))
| ~ r1(sK0,X0)
| p1(sK5(sK2(X0)))
| ~ r1(X0,X1) ) ).
cnf(u122,negated_conjecture,
( ~ p1(sK10(sK8(X0)))
| ~ r1(X1,X2)
| p1(sK7(X2))
| ~ r1(sK0,X0)
| ~ r1(X0,X1)
| ~ r1(sK0,sK8(X0)) ) ).
cnf(u174,negated_conjecture,
( ~ r1(sK2(sK11),X1)
| ~ r1(X1,X0)
| p1(X1)
| ~ p1(X0) ) ).
cnf(u126,negated_conjecture,
( ~ p1(sK6(sK8(X0)))
| ~ r1(X1,X2)
| p1(sK7(X2))
| ~ r1(sK0,X0)
| ~ r1(sK0,sK8(X0))
| ~ r1(X0,X1) ) ).
cnf(u33,negated_conjecture,
( ~ p1(sK2(X1))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p1(X3)
| r1(X3,sK1(X3))
| ~ r1(sK0,X1) ) ).
cnf(u31,negated_conjecture,
( ~ p1(sK1(X3))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p1(X3)
| ~ r1(sK0,X1)
| r1(X1,sK2(X1)) ) ).
cnf(u25,negated_conjecture,
( ~ r1(sK0,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| p1(X9)
| ~ r1(X9,X10)
| ~ p1(X10)
| p1(sK4(X7)) ) ).
cnf(u27,negated_conjecture,
( ~ p1(sK3(X7))
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| p1(X9)
| ~ r1(X9,X10)
| ~ p1(X10)
| ~ r1(sK0,X7) ) ).
cnf(u17,negated_conjecture,
( ~ r1(sK8(X16),X21)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p1(sK7(X18))
| ~ r1(sK0,X16)
| ~ p1(X21) ) ).
cnf(u19,negated_conjecture,
( ~ r1(sK8(X16),X21)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| r1(X18,sK7(X18))
| ~ r1(sK0,X16)
| ~ p1(X21) ) ).
cnf(u29,negated_conjecture,
( ~ r1(sK2(X1),X6)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p1(X3)
| ~ p1(sK1(X3))
| ~ r1(sK0,X1)
| p1(X6) ) ).
cnf(u21,negated_conjecture,
( ~ p1(sK6(X13))
| p1(sK5(X13))
| ~ r1(sK0,X13) ) ).
cnf(u23,negated_conjecture,
( r1(X13,sK5(X13))
| ~ r1(sK0,X13)
| ~ p1(sK6(X13)) ) ).
cnf(u186,negated_conjecture,
( ~ r1(sK10(sK11),X1)
| ~ r1(X1,X0)
| p1(X1)
| ~ p1(X0) ) ).
cnf(u15,negated_conjecture,
( ~ p1(sK9(X22))
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| p1(X24)
| ~ r1(sK0,X22) ) ).
cnf(u9,negated_conjecture,
~ p1(sK13) ).
cnf(u176,negated_conjecture,
( ~ r1(sK9(sK11),X1)
| ~ r1(X1,X0)
| p1(X1)
| ~ p1(X0) ) ).
cnf(u11,negated_conjecture,
( ~ r1(sK12,X30)
| p1(X30) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL639+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 16:08:32 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 4.62/1.42 % (4176700)Detected formulas, will run a generic FOF schedule.
% 4.62/1.42 % (4176711)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3381850723:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.62/1.42 % (4176709)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3548229182:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.62/1.42 % (4176710)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4099150111:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.62/1.42 % (4176712)dis-21_1_sil=8000:lcm=predicate:random_seed=815695889: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)
% 4.62/1.42 % (4176706)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=3173061344:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.62/1.42 % (4176707)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=3235501297:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.62/1.42 % (4176708)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=3672669299:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.62/1.42 % (4176711)Refutation not found, incomplete strategy
% 4.62/1.42 % (4176711)------------------------------
% 4.62/1.42 % (4176711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/1.42 % (4176711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/1.42 % (4176711)CaDiCaL version: 2.1.3
% 4.62/1.42 % (4176711)Termination reason: Refutation not found, incomplete strategy
% 4.62/1.42 % (4176711)Time elapsed: 0.003 s
% 4.62/1.42 % (4176711)Peak memory usage: 88 MB
% 4.62/1.42 % (4176711)Instructions burned: 3 (million)
% 4.62/1.42 % (4176709)Instruction limit reached!
% 4.62/1.42 % (4176709)------------------------------
% 4.62/1.42 % (4176709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/1.42 % (4176709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/1.42 % (4176709)CaDiCaL version: 2.1.3
% 4.62/1.42 % (4176709)Termination reason: Instruction limit
% 4.62/1.42 % (4176709)Termination phase: Saturation
% 4.62/1.42 % (4176709)Time elapsed: 0.054 s
% 4.62/1.42 % (4176709)Peak memory usage: 89 MB
% 4.62/1.42 % (4176709)Instructions burned: 110 (million)
% 4.62/1.42 % (4176710)Instruction limit reached!
% 4.62/1.42 % (4176710)------------------------------
% 4.62/1.42 % (4176710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/1.42 % (4176710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/1.42 % (4176710)CaDiCaL version: 2.1.3
% 4.62/1.42 % (4176710)Termination reason: Instruction limit
% 4.62/1.42 % (4176710)Termination phase: Saturation
% 4.62/1.42 % (4176710)Time elapsed: 0.068 s
% 4.62/1.42 % (4176710)Peak memory usage: 88 MB
% 4.62/1.42 % (4176710)Instructions burned: 120 (million)
% 4.62/1.42 % (4176712)Instruction limit reached!
% 4.62/1.42 % (4176712)------------------------------
% 4.62/1.42 % (4176712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/1.42 % (4176712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/1.42 % (4176712)CaDiCaL version: 2.1.3
% 4.62/1.42 % (4176712)Termination reason: Instruction limit
% 4.62/1.42 % (4176712)Termination phase: Saturation
% 4.62/1.42 % (4176712)Time elapsed: 0.069 s
% 4.62/1.42 % (4176712)Peak memory usage: 89 MB
% 4.62/1.42 % (4176712)Instructions burned: 130 (million)
% 4.62/1.42 % (4176720)lrs+10_1_sil=8000:sp=occurrence:random_seed=2701743114:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.62/1.42 % (4176720)First to succeed.
% 4.62/1.42 % (4176720)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4176700"
% 4.62/1.42 % (4176722)lrs+1011_1_sil=32000:sp=occurrence:random_seed=317623020:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.62/1.42 % (4176721)lrs+10_1_sil=32000:urr=on:br=off:random_seed=338367612:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.62/1.42 % (4176721)Refutation not found, incomplete strategy
% 4.62/1.42 % (4176721)------------------------------
% 4.62/1.42 % (4176721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/1.42 % (4176721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/1.42 % (4176721)CaDiCaL version: 2.1.3
% 4.62/1.42 % (4176721)Termination reason: Refutation not found, incomplete strategy
% 4.62/1.42 % (4176721)Time elapsed: 0.002 s
% 4.62/1.42 % (4176721)Peak memory usage: 88 MB
% 4.62/1.42 % (4176721)Instructions burned: 2 (million)
% 4.62/1.42 % (4176722)Refutation not found, incomplete strategy
% 4.62/1.42 % (4176722)------------------------------
% 4.62/1.42 % (4176722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/1.42 % (4176722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/1.42 % (4176722)CaDiCaL version: 2.1.3
% 4.62/1.42 % (4176722)Termination reason: Refutation not found, incomplete strategy
% 4.62/1.42 % (4176722)Time elapsed: 0.003 s
% 4.62/1.42 % (4176722)Peak memory usage: 88 MB
% 4.62/1.42 % (4176722)Instructions burned: 3 (million)
% 4.62/1.42 % (4176711)------------------------------
% 4.62/1.42 % (4176711)------------------------------
% 4.62/1.42 % (4176726)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=2624113620:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.62/1.42 % (4176726)Refutation not found, incomplete strategy
% 4.62/1.42 % (4176726)------------------------------
% 4.62/1.42 % (4176726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/1.42 % (4176726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/1.42 % (4176726)CaDiCaL version: 2.1.3
% 4.62/1.42 % (4176726)Termination reason: Refutation not found, incomplete strategy
% 4.62/1.42 % (4176726)Time elapsed: 0.001 s
% 4.62/1.42 % (4176726)Peak memory usage: 88 MB
% 4.62/1.42 % (4176726)Instructions burned: 2 (million)
% 4.62/1.42 % (4176722)------------------------------
% 4.62/1.42 % (4176722)------------------------------
% 4.62/1.42 % (4176721)------------------------------
% 4.62/1.42 % (4176721)------------------------------
% 4.62/1.42 % (4176726)------------------------------
% 4.62/1.42 % (4176726)------------------------------
% 4.62/1.42 % SZS status CounterSatisfiable for theBenchmark
% 4.62/1.42 % SZS output start Saturation.
% See solution above
% 4.62/1.42 % SZS output start Definitions and Model Updates.
% 4.62/1.42 % SZS output end Definitions and Model Updates.
% 4.62/1.42 % (4176720)------------------------------
% 4.62/1.42 % (4176720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.62/1.42 % (4176720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.62/1.42 % (4176720)CaDiCaL version: 2.1.3
% 4.62/1.42 % (4176720)Termination reason: Satisfiable
% 4.62/1.42 % (4176720)Time elapsed: 0.007 s
% 4.62/1.42 % (4176720)Peak memory usage: 88 MB
% 4.62/1.42 % (4176720)Instructions burned: 9 (million)
% 4.62/1.42 % (4176720)------------------------------
% 4.62/1.42 % (4176720)------------------------------
% 4.62/1.42 % (4176700)Success in time 0.591 s
% 4.62/1.42 % Vampire exiting
%------------------------------------------------------------------------------