%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA013+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:55:21 AM UTC 2026
% Result : CounterSatisfiable 4.61s 1.54s
% Output : Saturation 4.61s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u28,axiom,
( ~ red(X1,X2)
| ~ red(X0,X2)
| ~ red(X0,X1) ) ).
cnf(u31,axiom,
~ goal ).
cnf(u36,axiom,
( ~ green(X1,X2)
| ~ green(X0,X2)
| ~ green(X0,X1) ) ).
cnf(u50,axiom,
green(n4,n5) ).
cnf(u55,axiom,
red(n3,n4) ).
cnf(u58,axiom,
~ green(n3,n4) ).
cnf(u64,axiom,
red(n2,n3) ).
cnf(u72,axiom,
~ red(n1,n2) ).
cnf(u77,axiom,
green(n1,n2) ).
cnf(u94,axiom,
~ red(n1,n3) ).
cnf(u99,axiom,
green(n1,n3) ).
cnf(u107,axiom,
~ red(n2,n4) ).
cnf(u112,axiom,
green(n2,n4) ).
cnf(u118,axiom,
~ red(n3,n5) ).
cnf(u123,axiom,
green(n3,n5) ).
cnf(u131,axiom,
red(n1,n4) ).
cnf(u151,axiom,
red(n2,n5) ).
cnf(u154,axiom,
~ green(n2,n5) ).
cnf(u168,axiom,
red(n1,n5) ).
cnf(u181,axiom,
~ green(n1,n1) ).
cnf(u82,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n5) ) ).
cnf(u183,axiom,
~ green(n2,n2) ).
cnf(u180,axiom,
( ~ red(X0,n5)
| ~ red(X0,n1) ) ).
cnf(u161,axiom,
( ~ green(X0,n4)
| ~ green(X0,n2) ) ).
cnf(u80,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n3) ) ).
cnf(u163,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n5) ) ).
cnf(u143,axiom,
~ green(n4,n4) ).
cnf(u194,axiom,
~ red(n3,n1) ).
cnf(u84,axiom,
( ~ red(X0,n3)
| ~ red(X0,n2) ) ).
cnf(u24,axiom,
less_than(n2,n3) ).
cnf(u125,axiom,
less_than(n1,n5) ).
cnf(u137,axiom,
~ red(n3,n3) ).
cnf(u193,axiom,
~ green(n4,n3) ).
cnf(u22,axiom,
less_than(n4,n5) ).
cnf(u211,axiom,
~ red(n2,n1) ).
cnf(u101,axiom,
less_than(n3,n5) ).
cnf(u20,axiom,
( ~ less_than(X0,X1)
| green(X0,X1)
| red(X0,X1) ) ).
cnf(u103,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n4) ) ).
cnf(u139,axiom,
~ red(n2,n2) ).
cnf(u176,axiom,
( ~ red(X0,n4)
| ~ red(X0,n1) ) ).
cnf(u89,axiom,
less_than(n1,n4) ).
cnf(u179,axiom,
( ~ red(X0,n5)
| ~ red(X0,n2) ) ).
cnf(u81,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n4) ) ).
cnf(u83,axiom,
( ~ red(X0,n4)
| ~ red(X0,n3) ) ).
cnf(u85,axiom,
( ~ green(X0,n5)
| ~ green(X0,n4) ) ).
cnf(u114,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n5) ) ).
cnf(u87,axiom,
less_than(n1,n3) ).
cnf(u195,axiom,
~ red(n1,n1) ).
cnf(u79,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n2) ) ).
cnf(u126,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n4) ) ).
cnf(u25,axiom,
less_than(n1,n2) ).
cnf(u206,axiom,
( ~ green(X0,n2)
| ~ green(X0,n1) ) ).
cnf(u146,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n5) ) ).
cnf(u192,axiom,
~ green(n3,n3) ).
cnf(u21,axiom,
( ~ less_than(X1,X2)
| ~ less_than(X0,X1)
| less_than(X0,X2) ) ).
cnf(u144,axiom,
( ~ green(X0,n3)
| ~ green(X0,n1) ) ).
cnf(u23,axiom,
less_than(n3,n4) ).
cnf(u102,axiom,
less_than(n2,n5) ).
cnf(u190,axiom,
( ~ green(X0,n5)
| ~ green(X0,n3) ) ).
cnf(u88,axiom,
less_than(n2,n4) ).
cnf(u90,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n3) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA013+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n010.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 08:48:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 4.61/1.54 % (644134)Detected formulas, will run a generic FOF schedule.
% 4.61/1.54 % (644143)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1085003321:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.61/1.54 % (644143)Refutation not found, incomplete strategy
% 4.61/1.54 % (644143)------------------------------
% 4.61/1.54 % (644143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.54 % (644143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.54 % (644143)CaDiCaL version: 2.1.3
% 4.61/1.54 % (644143)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.54 % (644143)Time elapsed: 0.0000 s
% 4.61/1.54 % (644143)Peak memory usage: 86 MB
% 4.61/1.54 % (644145)dis-21_1_sil=8000:lcm=predicate:random_seed=90248953: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)
% 4.61/1.54 % (644139)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=2890639079:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.61/1.54 % (644142)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1936655870:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.61/1.54 % (644140)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=1526685263:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.61/1.54 % (644141)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=1944037934:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.61/1.54 % (644144)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3273209942:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.61/1.54 % (644142)Refutation not found, incomplete strategy
% 4.61/1.54 % (644142)------------------------------
% 4.61/1.54 % (644142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.54 % (644142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.54 % (644142)CaDiCaL version: 2.1.3
% 4.61/1.54 % (644142)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.54 % (644142)Time elapsed: 0.0000 s
% 4.61/1.54 % (644142)Peak memory usage: 86 MB
% 4.61/1.54 % (644145)Instruction limit reached!
% 4.61/1.54 % (644145)------------------------------
% 4.61/1.54 % (644145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.54 % (644145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.54 % (644145)CaDiCaL version: 2.1.3
% 4.61/1.54 % (644145)Termination reason: Instruction limit
% 4.61/1.54 % (644145)Termination phase: Saturation
% 4.61/1.54 % (644145)Time elapsed: 0.053 s
% 4.61/1.54 % (644145)Peak memory usage: 88 MB
% 4.61/1.54 % (644145)Instructions burned: 131 (million)
% 4.61/1.54 % (644144)Instruction limit reached!
% 4.61/1.54 % (644144)------------------------------
% 4.61/1.54 % (644144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.54 % (644144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.54 % (644144)CaDiCaL version: 2.1.3
% 4.61/1.54 % (644144)Termination reason: Instruction limit
% 4.61/1.54 % (644144)Termination phase: Saturation
% 4.61/1.54 % (644144)Time elapsed: 0.067 s
% 4.61/1.54 % (644144)Peak memory usage: 88 MB
% 4.61/1.54 % (644144)Instructions burned: 141 (million)
% 4.61/1.54 % (644143)------------------------------
% 4.61/1.54 % (644143)------------------------------
% 4.61/1.54 % (644153)lrs+10_1_sil=8000:sp=occurrence:random_seed=245595436:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.61/1.54 % (644153)First to succeed.
% 4.61/1.54 % (644153)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-644134"
% 4.61/1.54 % (644155)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2133246608:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.61/1.54 % (644155)Refutation not found, incomplete strategy
% 4.61/1.54 % (644155)------------------------------
% 4.61/1.54 % (644155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.54 % (644155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.54 % (644155)CaDiCaL version: 2.1.3
% 4.61/1.54 % (644155)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.54 % (644155)Time elapsed: 0.0000 s
% 4.61/1.54 % (644155)Peak memory usage: 87 MB
% 4.61/1.54 % (644154)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3123237670:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.61/1.54 % (644154)Refutation not found, incomplete strategy
% 4.61/1.54 % (644154)------------------------------
% 4.61/1.54 % (644154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.54 % (644154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.54 % (644154)CaDiCaL version: 2.1.3
% 4.61/1.54 % (644154)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.54 % (644154)Time elapsed: 0.001 s
% 4.61/1.54 % (644154)Peak memory usage: 87 MB
% 4.61/1.54 % (644142)------------------------------
% 4.61/1.54 % (644142)------------------------------
% 4.61/1.54 % (644155)------------------------------
% 4.61/1.54 % (644155)------------------------------
% 4.61/1.54 % (644159)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=2418325494:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.61/1.54 % (644159)Refutation not found, incomplete strategy
% 4.61/1.54 % (644159)------------------------------
% 4.61/1.54 % (644159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.54 % (644159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.54 % (644159)CaDiCaL version: 2.1.3
% 4.61/1.54 % (644159)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.54 % (644159)Time elapsed: 0.002 s
% 4.61/1.54 % (644159)Peak memory usage: 88 MB
% 4.61/1.54 % (644159)Instructions burned: 1 (million)
% 4.61/1.54 % SZS status CounterSatisfiable for theBenchmark
% 4.61/1.54 % SZS output start Saturation.
% See solution above
% 4.61/1.54 % SZS output start Definitions and Model Updates.
% 4.61/1.54 % SZS output end Definitions and Model Updates.
% 4.61/1.54 % (644153)------------------------------
% 4.61/1.54 % (644153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.54 % (644153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.54 % (644153)CaDiCaL version: 2.1.3
% 4.61/1.54 % (644153)Termination reason: Satisfiable
% 4.61/1.54 % (644153)Time elapsed: 0.004 s
% 4.61/1.54 % (644153)Peak memory usage: 88 MB
% 4.61/1.54 % (644153)Instructions burned: 3 (million)
% 4.61/1.54 % (644153)------------------------------
% 4.61/1.54 % (644153)------------------------------
% 4.61/1.54 % (644134)Success in time 0.582 s
% 4.61/1.54 % Vampire exiting
%------------------------------------------------------------------------------