%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL657+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 : n011.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 11:54:22 AM UTC 2026
% Result : CounterSatisfiable 4.01s 1.59s
% Output : Saturation 4.01s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u42,negated_conjecture,
~ p1(sK3) ).
cnf(u49,negated_conjecture,
( ~ r1(sK3,X0)
| ~ p100(X0)
| ~ p1(X0) ) ).
cnf(u80,negated_conjecture,
~ p1(sK2(sK3)) ).
cnf(u83,negated_conjecture,
p100(sK2(sK3)) ).
cnf(u89,negated_conjecture,
( ~ r1(sK2(sK3),X0)
| ~ p100(X0)
| ~ p1(X0) ) ).
cnf(u97,negated_conjecture,
p101(sK2(sK3)) ).
cnf(u102,negated_conjecture,
( ~ r1(sK2(sK3),X0)
| ~ p101(X0)
| p2(X0) ) ).
cnf(u132,negated_conjecture,
~ p1(sK1(sK3)) ).
cnf(u135,negated_conjecture,
p100(sK1(sK3)) ).
cnf(u141,negated_conjecture,
( ~ r1(sK1(sK3),X0)
| ~ p100(X0)
| ~ p1(X0) ) ).
cnf(u173,negated_conjecture,
p101(sK1(sK3)) ).
cnf(u177,negated_conjecture,
~ p1(sK1(sK1(sK3))) ).
cnf(u190,negated_conjecture,
~ p100(sK2(sK1(sK3))) ).
cnf(u199,negated_conjecture,
~ p2(sK1(sK3)) ).
cnf(u22,negated_conjecture,
p100(sK3) ).
cnf(u29,negated_conjecture,
( ~ r1(sK3,X1)
| sP0(X1) ) ).
cnf(u24,negated_conjecture,
( ~ r1(sK3,X1)
| p100(X1)
| ~ p101(X1) ) ).
cnf(u17,axiom,
( p2(sK2(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ) ).
cnf(u28,negated_conjecture,
( ~ r1(sK3,X1)
| ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2)
| p2(X1)
| ~ p101(X1) ) ).
cnf(u27,negated_conjecture,
( ~ r1(sK3,X1)
| ~ r1(X1,X3)
| p2(X3)
| ~ p101(X3)
| ~ p2(X1)
| ~ p101(X1) ) ).
cnf(u21,axiom,
( r1(X0,sK1(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ) ).
cnf(u16,axiom,
( p101(sK2(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ) ).
cnf(u148,negated_conjecture,
( ~ r1(sK1(sK3),X0)
| ~ p2(X0)
| ~ p101(X0) ) ).
cnf(u162,negated_conjecture,
p2(sK2(sK3)) ).
cnf(u26,negated_conjecture,
( ~ r1(sK3,X1)
| ~ r1(X1,X4)
| ~ p1(X4)
| ~ p100(X4)
| p1(X1)
| ~ p100(X1) ) ).
cnf(u20,axiom,
( ~ p2(sK1(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ) ).
cnf(u124,negated_conjecture,
sP0(sK1(sK3)) ).
cnf(u19,axiom,
( p101(sK1(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ) ).
cnf(u30,axiom,
r1(X0,X0) ).
cnf(u72,negated_conjecture,
sP0(sK2(sK3)) ).
cnf(u23,negated_conjecture,
~ p101(sK3) ).
cnf(u18,axiom,
( r1(X0,sK2(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ) ).
cnf(u25,negated_conjecture,
( ~ r1(sK3,X1)
| ~ r1(X1,X5)
| p1(X5)
| ~ p100(X5)
| ~ p1(X1)
| ~ p100(X1) ) ).
cnf(u36,negated_conjecture,
sP0(sK3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL657+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
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 16:21:00 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 4.01/1.59 % (2596779)Detected formulas, will run a generic FOF schedule.
% 4.01/1.59 % (2596786)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=1918722582:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.01/1.59 % (2596787)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=768666690:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.01/1.59 % (2596789)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2626509361:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.01/1.59 % (2596790)dis-21_1_sil=8000:lcm=predicate:random_seed=1154853541: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)
% 4.01/1.59 % (2596788)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2966279133:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.01/1.59 % (2596785)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=917925149:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.01/1.59 % (2596784)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=3532605998:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.01/1.59 % (2596787)Refutation not found, incomplete strategy
% 4.01/1.59 % (2596787)------------------------------
% 4.01/1.59 % (2596787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.59 % (2596788)Refutation not found, incomplete strategy
% 4.01/1.59 % (2596788)------------------------------
% 4.01/1.59 % (2596788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.59 % (2596787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.59 % (2596788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.59 % (2596788)CaDiCaL version: 2.1.3
% 4.01/1.59 % (2596787)CaDiCaL version: 2.1.3
% 4.01/1.59 % (2596787)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.59 % (2596787)Time elapsed: 0.002 s
% 4.01/1.59 % (2596788)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.59 % (2596788)Time elapsed: 0.002 s
% 4.01/1.59 % (2596787)Peak memory usage: 88 MB
% 4.01/1.59 % (2596788)Peak memory usage: 87 MB
% 4.01/1.59 % (2596787)Instructions burned: 2 (million)
% 4.01/1.59 % (2596788)Instructions burned: 2 (million)
% 4.01/1.59 % (2596789)Refutation not found, incomplete strategy
% 4.01/1.59 % (2596789)------------------------------
% 4.01/1.59 % (2596789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.59 % (2596789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.59 % (2596789)CaDiCaL version: 2.1.3
% 4.01/1.59 % (2596789)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.59 % (2596789)Time elapsed: 0.003 s
% 4.01/1.59 % (2596789)Peak memory usage: 88 MB
% 4.01/1.59 % (2596789)Instructions burned: 2 (million)
% 4.01/1.59 % (2596790)Instruction limit reached!
% 4.01/1.59 % (2596790)------------------------------
% 4.01/1.59 % (2596790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.59 % (2596790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.59 % (2596790)CaDiCaL version: 2.1.3
% 4.01/1.59 % (2596790)Termination reason: Instruction limit
% 4.01/1.59 % (2596790)Termination phase: Saturation
% 4.01/1.59 % (2596790)Time elapsed: 0.068 s
% 4.01/1.59 % (2596790)Peak memory usage: 88 MB
% 4.01/1.59 % (2596790)Instructions burned: 131 (million)
% 4.01/1.59 % (2596798)lrs+10_1_sil=8000:sp=occurrence:random_seed=2982588179:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.01/1.59 % (2596798)First to succeed.
% 4.01/1.59 % (2596798)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2596779"
% 4.01/1.59 % (2596789)------------------------------
% 4.01/1.59 % (2596789)------------------------------
% 4.01/1.59 % (2596787)------------------------------
% 4.01/1.59 % (2596787)------------------------------
% 4.01/1.59 % (2596788)------------------------------
% 4.01/1.59 % (2596788)------------------------------
% 4.01/1.59 % (2596786)Refutation not found, incomplete strategy
% 4.01/1.59 % (2596786)------------------------------
% 4.01/1.59 % (2596786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.59 % (2596786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.59 % (2596786)CaDiCaL version: 2.1.3
% 4.01/1.59 % (2596786)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.59 % (2596786)Time elapsed: 0.399 s
% 4.01/1.59 % (2596786)Peak memory usage: 128 MB
% 4.01/1.59 % (2596786)Instructions burned: 927 (million)
% 4.01/1.59 % (2596801)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2790346745:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.01/1.59 % (2596801)Refutation not found, incomplete strategy
% 4.01/1.59 % (2596801)------------------------------
% 4.01/1.59 % (2596801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.59 % (2596801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.59 % (2596801)CaDiCaL version: 2.1.3
% 4.01/1.59 % (2596801)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.59 % (2596801)Time elapsed: 0.002 s
% 4.01/1.59 % (2596801)Peak memory usage: 88 MB
% 4.01/1.59 % (2596801)Instructions burned: 2 (million)
% 4.01/1.59 % (2596800)lrs+10_1_sil=32000:urr=on:br=off:random_seed=712087417:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 4.01/1.59 % (2596802)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=4067297957:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.01/1.59 % (2596800)Refutation not found, incomplete strategy
% 4.01/1.59 % (2596800)------------------------------
% 4.01/1.59 % (2596800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.59 % (2596800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.59 % (2596800)CaDiCaL version: 2.1.3
% 4.01/1.59 % (2596800)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.59 % (2596800)Time elapsed: 0.003 s
% 4.01/1.59 % (2596802)Refutation not found, incomplete strategy
% 4.01/1.59 % (2596802)------------------------------
% 4.01/1.59 % (2596802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.59 % (2596800)Peak memory usage: 88 MB
% 4.01/1.59 % (2596800)Instructions burned: 2 (million)
% 4.01/1.59 % (2596802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.59 % (2596802)CaDiCaL version: 2.1.3
% 4.01/1.59 % (2596802)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.59 % (2596802)Time elapsed: 0.003 s
% 4.01/1.59 % (2596802)Peak memory usage: 88 MB
% 4.01/1.59 % (2596802)Instructions burned: 2 (million)
% 4.01/1.59 % SZS status CounterSatisfiable for theBenchmark
% 4.01/1.59 % SZS output start Saturation.
% See solution above
% 4.01/1.59 % SZS output start Definitions and Model Updates.
% 4.01/1.59 for all inputs,
% 4.01/1.59 define p102(X0) := $false
% 4.01/1.59 % SZS output end Definitions and Model Updates.
% 4.01/1.59 % (2596798)------------------------------
% 4.01/1.59 % (2596798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.59 % (2596798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.59 % (2596798)CaDiCaL version: 2.1.3
% 4.01/1.59 % (2596798)Termination reason: Satisfiable
% 4.01/1.59 % (2596798)Time elapsed: 0.003 s
% 4.01/1.59 % (2596798)Peak memory usage: 88 MB
% 4.01/1.59 % (2596798)Instructions burned: 3 (million)
% 4.01/1.59 % (2596798)------------------------------
% 4.01/1.59 % (2596798)------------------------------
% 4.01/1.59 % (2596779)Success in time 0.671 s
% 4.01/1.59 % Vampire exiting
%------------------------------------------------------------------------------