%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL669+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 : n007.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 11:55:39 AM UTC 2026
% Result : CounterSatisfiable 3.30s 1.58s
% Output : Saturation 3.30s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u35,negated_conjecture,
( ~ p1(X13)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(sK2,X7)
| ~ p4(X13) ) ).
cnf(u46,negated_conjecture,
( r1(X0,sK1(X0))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(sK2,X2) ) ).
cnf(u22,axiom,
( ~ p2(X5)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ p3(X5)
| ~ r1(X0,X1)
| ~ sP0(X0) ) ).
cnf(u29,negated_conjecture,
( sP0(X15)
| ~ r1(X7,X15)
| ~ r1(sK2,X7) ) ).
cnf(u49,negated_conjecture,
( p2(X4)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X5,X0)
| ~ r1(X0,X1)
| ~ sP0(X5)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ r1(X10,X11)
| ~ r1(X11,X4)
| ~ r1(sK2,X6)
| ~ p4(X4) ) ).
cnf(u24,negated_conjecture,
r1(sK14,sK15) ).
cnf(u39,negated_conjecture,
r1(sK5,sK6) ).
cnf(u34,negated_conjecture,
( r1(X7,sK9(X7))
| ~ r1(sK2,X7) ) ).
cnf(u41,negated_conjecture,
r1(sK3,sK4) ).
cnf(u17,axiom,
r1(X0,X0) ).
cnf(u28,negated_conjecture,
r1(sK2,sK11) ).
cnf(u27,negated_conjecture,
r1(sK11,sK12) ).
cnf(u38,negated_conjecture,
r1(sK6,sK7) ).
cnf(u45,negated_conjecture,
( p4(sK1(X1))
| ~ sP0(X0)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,sK1(X1))
| ~ r1(sK2,X2)
| ~ r1(X0,X1) ) ).
cnf(u21,axiom,
( ~ sP0(X0)
| r1(X1,sK1(X1))
| ~ r1(X0,X1) ) ).
cnf(u40,negated_conjecture,
r1(sK4,sK5) ).
cnf(u31,negated_conjecture,
( r1(X15,sK10(X15))
| ~ r1(X7,X15)
| ~ r1(sK2,X7) ) ).
cnf(u26,negated_conjecture,
r1(sK12,sK13) ).
cnf(u33,negated_conjecture,
( p3(X20)
| ~ r1(X7,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| ~ r1(sK2,X7)
| p4(X20) ) ).
cnf(u20,axiom,
( ~ p3(sK1(X1))
| ~ r1(X0,X1)
| ~ sP0(X0) ) ).
cnf(u19,axiom,
( p1(X10)
| ~ r1(X1,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ r1(X0,X1)
| p2(X10)
| ~ sP0(X0) ) ).
cnf(u30,negated_conjecture,
( ~ p4(sK10(X15))
| ~ r1(X7,X15)
| ~ r1(sK2,X7) ) ).
cnf(u37,negated_conjecture,
r1(sK2,sK8) ).
cnf(u32,negated_conjecture,
( ~ p3(X20)
| ~ r1(X7,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| ~ p4(X20)
| ~ r1(sK2,X7) ) ).
cnf(u23,axiom,
( p2(X5)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X0,X1)
| p3(X5)
| ~ sP0(X0) ) ).
cnf(u47,negated_conjecture,
( ~ p2(X4)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X0,X1)
| ~ r1(X5,X0)
| ~ sP0(X5)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ r1(X10,X11)
| ~ r1(X11,X4)
| p4(X4)
| ~ r1(sK2,X6) ) ).
cnf(u42,negated_conjecture,
r1(sK2,sK3) ).
cnf(u18,axiom,
( ~ p1(X10)
| ~ r1(X1,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ p2(X10)
| ~ r1(X0,X1)
| ~ sP0(X0) ) ).
cnf(u25,negated_conjecture,
r1(sK13,sK14) ).
cnf(u36,negated_conjecture,
( p1(X13)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| p4(X13)
| ~ r1(sK2,X7) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL669+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.61 % Computer : n007.cluster.edu
% 0.12/0.61 % Model : x86_64 x86_64
% 0.12/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.61 % Memory : 8046.5625MB
% 0.12/0.61 % OS : Linux 6.8.0-71-generic
% 0.12/0.61 % CPULimit : 300
% 0.12/0.61 % WCLimit : 300
% 0.12/0.61 % DateTime : Sun Sep 27 16:26:10 UTC 2026
% 0.12/0.61 % CPUTime :
% 0.12/0.61 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.64 Running first-order theorem proving
% 0.15/0.64 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
% 3.30/1.58 % (1630880)Detected formulas, will run a generic FOF schedule.
% 3.30/1.58 % (1630887)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=266288813:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.30/1.58 % (1630888)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3640755390:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.30/1.58 % (1630891)dis-21_1_sil=8000:lcm=predicate:random_seed=2702682098: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)
% 3.30/1.58 % (1630890)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1422305768:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.30/1.58 % (1630885)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=407331515:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.30/1.58 % (1630886)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=2461079591:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.30/1.58 % (1630889)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2873985263:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.30/1.58 % (1630891)First to succeed.
% 3.30/1.58 % (1630891)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1630880"
% 3.30/1.58 % (1630890)Refutation not found, incomplete strategy
% 3.30/1.58 % (1630890)------------------------------
% 3.30/1.58 % (1630890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.58 % (1630890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.58 % (1630890)CaDiCaL version: 2.1.3
% 3.30/1.58 % (1630890)Termination reason: Refutation not found, incomplete strategy
% 3.30/1.58 % (1630890)Time elapsed: 0.013 s
% 3.30/1.58 % (1630890)Peak memory usage: 88 MB
% 3.30/1.58 % (1630890)Instructions burned: 31 (million)
% 3.30/1.58 % (1630889)Instruction limit reached!
% 3.30/1.58 % (1630889)------------------------------
% 3.30/1.58 % (1630889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.58 % (1630889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.58 % (1630889)CaDiCaL version: 2.1.3
% 3.30/1.58 % (1630889)Termination reason: Instruction limit
% 3.30/1.58 % (1630889)Termination phase: Saturation
% 3.30/1.58 % (1630889)Time elapsed: 0.054 s
% 3.30/1.58 % (1630889)Peak memory usage: 88 MB
% 3.30/1.58 % (1630889)Instructions burned: 119 (million)
% 3.30/1.58 % (1630888)Instruction limit reached!
% 3.30/1.58 % (1630888)------------------------------
% 3.30/1.58 % (1630888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.58 % (1630888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.58 % (1630888)CaDiCaL version: 2.1.3
% 3.30/1.58 % (1630888)Termination reason: Instruction limit
% 3.30/1.58 % (1630888)Termination phase: Saturation
% 3.30/1.58 % (1630888)Time elapsed: 0.063 s
% 3.30/1.58 % (1630888)Peak memory usage: 91 MB
% 3.30/1.58 % (1630888)Instructions burned: 111 (million)
% 3.30/1.58 % (1630899)lrs+10_1_sil=8000:sp=occurrence:random_seed=442729555:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.30/1.58 % (1630900)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1533286076:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.30/1.58 % SZS status CounterSatisfiable for theBenchmark
% 3.30/1.58 % SZS output start Saturation.
% See solution above
% 3.30/1.58 % SZS output start Definitions and Model Updates.
% 3.30/1.58 for all inputs,
% 3.30/1.58 define p10(X0) := $true
% 3.30/1.58 for all inputs,
% 3.30/1.58 define p6(X0) := $false
% 3.30/1.58 for all inputs,
% 3.30/1.58 define p8(X0) := $true
% 3.30/1.58 for all inputs,
% 3.30/1.58 define p5(X0) := $false
% 3.30/1.58 % SZS output end Definitions and Model Updates.
% 3.30/1.58 % (1630891)------------------------------
% 3.30/1.58 % (1630891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.58 % (1630891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.58 % (1630891)CaDiCaL version: 2.1.3
% 3.30/1.58 % (1630891)Termination reason: Satisfiable
% 3.30/1.58 % (1630891)Time elapsed: 0.004 s
% 3.30/1.58 % (1630891)Peak memory usage: 88 MB
% 3.30/1.58 % (1630891)Instructions burned: 4 (million)
% 3.30/1.58 % (1630891)------------------------------
% 3.30/1.58 % (1630891)------------------------------
% 3.30/1.58 % (1630880)Success in time 0.406 s
% 3.30/1.58 % Vampire exiting
%------------------------------------------------------------------------------