%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP515-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 10:14:46 AM UTC 2026
% Result : Unsatisfiable 2.15s 1.14s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 4
% Syntax : Number of formulae : 79 ( 71 unt; 2 def)
% Number of atoms : 87 ( 69 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 6 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 237 ( 0 sgn 237 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,definition,
( spl0_1
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f6,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(avatar_component_clause,[],[f4]) ).
fof(f7,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f2,f4]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X0,inverse(multiply(X1,multiply(multiply(X0,X3),inverse(multiply(X2,X3))))))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(X2,multiply(multiply(X0,X3),inverse(multiply(X1,X3)))),inverse(X0))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X2,inverse(multiply(X1,multiply(X0,inverse(multiply(X5,multiply(X3,inverse(multiply(X2,multiply(multiply(X3,X4),inverse(multiply(X0,X4))))))))))))) = X5,
inference(superposition,[],[f8,f8]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X2,inverse(multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(X4,multiply(multiply(X3,X5),inverse(multiply(X0,X5))))))),inverse(X0)))))) = X4,
inference(superposition,[],[f8,f8]) ).
fof(f14,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f8,f1]) ).
fof(f17,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(superposition,[],[f8,f14]) ).
fof(f26,plain,
! [X2,X0,X1] : multiply(multiply(X2,X1),multiply(X0,inverse(multiply(X0,X1)))) = X2,
inference(superposition,[],[f8,f17]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,multiply(X2,inverse(multiply(X2,X3)))),multiply(multiply(X0,X3),inverse(X0))) = X1,
inference(superposition,[],[f26,f26]) ).
fof(f41,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(multiply(X0,X1),multiply(X2,inverse(X0))),
inference(superposition,[],[f8,f26]) ).
fof(f58,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(multiply(X2,multiply(multiply(X3,multiply(X4,inverse(multiply(X1,multiply(multiply(X4,X5),inverse(multiply(X0,X5))))))),inverse(X0))),inverse(X3))) = X2,
inference(superposition,[],[f9,f8]) ).
fof(f61,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(X2,multiply(multiply(X0,X1),inverse(X0))),
inference(superposition,[],[f9,f17]) ).
fof(f72,plain,
! [X2,X3,X1] : multiply(multiply(X1,multiply(X2,inverse(multiply(X2,X3)))),X3) = X1,
inference(backward_demodulation,[],[f40,f61]) ).
fof(f78,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(X0,X2),inverse(multiply(X3,X2)))) = multiply(X1,multiply(X0,inverse(X3))),
inference(superposition,[],[f61,f1]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X5] : multiply(X1,multiply(X2,inverse(multiply(X1,multiply(X0,inverse(multiply(X5,multiply(X3,inverse(multiply(X2,multiply(X3,inverse(X0)))))))))))) = X5,
inference(backward_demodulation,[],[f11,f78]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(X2,inverse(multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(X4,multiply(X3,inverse(X0)))))),inverse(X0)))))) = X4,
inference(backward_demodulation,[],[f13,f78]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,multiply(multiply(X3,multiply(X4,inverse(multiply(X1,multiply(X4,inverse(X0)))))),inverse(X0))),inverse(X3))) = X2,
inference(backward_demodulation,[],[f58,f78]) ).
fof(f155,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,inverse(multiply(X2,X3)))) = multiply(X0,multiply(X1,inverse(multiply(X0,X3)))),
inference(superposition,[],[f41,f26]) ).
fof(f170,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(superposition,[],[f61,f41]) ).
fof(f302,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X0))))) = multiply(X1,X0),
inference(superposition,[],[f61,f72]) ).
fof(f317,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(X0,multiply(X2,inverse(multiply(X2,inverse(X1))))),
inference(superposition,[],[f17,f72]) ).
fof(f323,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(backward_demodulation,[],[f317,f302]) ).
fof(f390,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f17,f323]) ).
fof(f392,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f170,f323]) ).
fof(f455,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(multiply(X3,multiply(X4,inverse(multiply(X1,multiply(X4,inverse(X0)))))),inverse(X0)),multiply(X2,inverse(X3)))) = X2,
inference(backward_demodulation,[],[f116,f392]) ).
fof(f457,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(X2,inverse(multiply(X1,multiply(multiply(X3,inverse(multiply(X4,multiply(X3,inverse(X0))))),multiply(X2,inverse(X0))))))) = X4,
inference(backward_demodulation,[],[f106,f392]) ).
fof(f463,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| spl0_1 ),
inference(backward_demodulation,[],[f6,f392]) ).
fof(f507,definition,
( spl0_3
<=> multiply(a3,multiply(b3,c3)) = multiply(b3,multiply(a3,c3)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f509,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| spl0_3 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f510,plain,
( ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f463,f4,f507]) ).
fof(f516,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(X2,inverse(multiply(X1,multiply(inverse(multiply(X4,multiply(X3,inverse(X0)))),multiply(X3,multiply(X2,inverse(X0)))))))) = X4,
inference(forward_demodulation,[],[f457,f392]) ).
fof(f518,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(inverse(X0),multiply(multiply(X3,multiply(X4,inverse(multiply(X1,multiply(X4,inverse(X0)))))),multiply(X2,inverse(X3))))) = X2,
inference(forward_demodulation,[],[f455,f392]) ).
fof(f575,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(inverse(X0),multiply(multiply(X4,inverse(multiply(X1,multiply(X4,inverse(X0))))),multiply(X3,multiply(X2,inverse(X3)))))) = X2,
inference(forward_demodulation,[],[f518,f392]) ).
fof(f602,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(X4,inverse(X0)))),multiply(X4,multiply(X3,multiply(X2,inverse(X3))))))) = X2,
inference(forward_demodulation,[],[f575,f392]) ).
fof(f613,plain,
! [X2,X0,X1,X4] : multiply(X1,multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(X4,inverse(X0)))),multiply(X4,X2)))) = X2,
inference(forward_demodulation,[],[f602,f17]) ).
fof(f621,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,X0) = multiply(X2,inverse(multiply(inverse(X1),multiply(X3,inverse(multiply(X0,multiply(X4,inverse(multiply(X2,multiply(X4,inverse(X3))))))))))),
inference(superposition,[],[f390,f104]) ).
fof(f627,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f14,f390]) ).
fof(f646,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(X3)) = multiply(X1,multiply(inverse(X2),multiply(inverse(multiply(X1,multiply(X0,inverse(X2)))),X0))),
inference(superposition,[],[f613,f14]) ).
fof(f648,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(inverse(X2),multiply(inverse(multiply(X1,multiply(X3,inverse(X2)))),X0))) = multiply(inverse(X3),X0),
inference(superposition,[],[f613,f390]) ).
fof(f651,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(inverse(X3),multiply(inverse(multiply(X2,multiply(X1,inverse(X3)))),multiply(X0,X1)))) = X0,
inference(superposition,[],[f613,f323]) ).
fof(f654,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(inverse(X2),X0)) = inverse(multiply(inverse(multiply(X1,multiply(X3,inverse(X2)))),multiply(X4,inverse(multiply(X0,multiply(X5,inverse(multiply(X3,multiply(X5,inverse(X4)))))))))),
inference(superposition,[],[f613,f104]) ).
fof(f668,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(backward_demodulation,[],[f651,f648]) ).
fof(f670,plain,
! [X3,X0] : multiply(X3,inverse(X3)) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f646,f648]) ).
fof(f702,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),X0) = X0,
inference(superposition,[],[f668,f14]) ).
fof(f706,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f668,f668]) ).
fof(f916,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X3,inverse(X4))) = multiply(X1,multiply(X2,inverse(multiply(X1,multiply(inverse(multiply(X0,inverse(X0))),multiply(X3,multiply(X2,inverse(X4)))))))),
inference(superposition,[],[f516,f670]) ).
fof(f979,plain,
! [X2,X3,X1,X4] : inverse(multiply(X3,inverse(X4))) = multiply(X1,multiply(X2,inverse(multiply(X1,multiply(X3,multiply(X2,inverse(X4))))))),
inference(forward_demodulation,[],[f916,f702]) ).
fof(f1138,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(inverse(X0),X1),
inference(superposition,[],[f706,f17]) ).
fof(f1156,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X1,X0))),
inference(superposition,[],[f323,f706]) ).
fof(f1166,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[],[f17,f706]) ).
fof(f1173,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(inverse(X2),X0)) = multiply(multiply(X1,multiply(X3,inverse(X2))),inverse(multiply(X4,inverse(multiply(X0,multiply(X5,inverse(multiply(X3,multiply(X5,inverse(X4)))))))))),
inference(backward_demodulation,[],[f654,f1166]) ).
fof(f1184,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,X0) = multiply(X2,multiply(X1,inverse(multiply(X3,inverse(multiply(X0,multiply(X4,inverse(multiply(X2,multiply(X4,inverse(X3))))))))))),
inference(backward_demodulation,[],[f621,f1166]) ).
fof(f1213,plain,
! [X3,X0,X1] : multiply(X1,inverse(X3)) = multiply(X0,multiply(X1,inverse(multiply(X0,X3)))),
inference(backward_demodulation,[],[f155,f1156]) ).
fof(f1314,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(inverse(X2),X0)) = multiply(multiply(X3,inverse(X2)),multiply(X1,inverse(multiply(X4,inverse(multiply(X0,multiply(X5,inverse(multiply(X3,multiply(X5,inverse(X4))))))))))),
inference(forward_demodulation,[],[f1173,f392]) ).
fof(f1346,plain,
! [X2,X3,X4] : multiply(X2,inverse(multiply(X3,multiply(X2,inverse(X4))))) = inverse(multiply(X3,inverse(X4))),
inference(backward_demodulation,[],[f979,f1213]) ).
fof(f1436,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(inverse(X2),X0)) = multiply(inverse(X2),multiply(X3,multiply(X1,inverse(multiply(X4,inverse(multiply(X0,multiply(X5,inverse(multiply(X3,multiply(X5,inverse(X4)))))))))))),
inference(forward_demodulation,[],[f1314,f392]) ).
fof(f1472,plain,
! [X2,X3,X0,X1] : multiply(X1,X0) = multiply(X2,multiply(X1,inverse(multiply(X3,inverse(multiply(X0,inverse(multiply(X2,inverse(X3))))))))),
inference(backward_demodulation,[],[f1184,f1346]) ).
fof(f1539,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(inverse(X2),X0)) = inverse(multiply(X2,inverse(multiply(X3,multiply(X1,inverse(multiply(X4,inverse(multiply(X0,multiply(X5,inverse(multiply(X3,multiply(X5,inverse(X4)))))))))))))),
inference(forward_demodulation,[],[f1436,f1138]) ).
fof(f1620,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(inverse(X2),X0)) = inverse(multiply(X2,inverse(multiply(X3,multiply(X1,inverse(multiply(X4,inverse(multiply(X0,inverse(multiply(X3,inverse(X4)))))))))))),
inference(forward_demodulation,[],[f1539,f1346]) ).
fof(f1692,plain,
! [X2,X0,X1] : multiply(X1,multiply(inverse(X2),X0)) = inverse(multiply(X2,inverse(multiply(X1,X0)))),
inference(forward_demodulation,[],[f1620,f1472]) ).
fof(f1752,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(X2,inverse(X0)))) = inverse(multiply(X2,inverse(multiply(X1,X0)))),
inference(forward_demodulation,[],[f1692,f1138]) ).
fof(f3042,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(X0),inverse(X2)))) = inverse(inverse(multiply(X0,inverse(inverse(multiply(X1,X2)))))),
inference(superposition,[],[f1752,f1138]) ).
fof(f3055,plain,
! [X2,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,X2)))) = multiply(X1,inverse(multiply(inverse(X0),inverse(X2)))),
inference(forward_demodulation,[],[f3042,f627]) ).
fof(f3097,plain,
! [X2,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,X2)))) = multiply(X1,inverse(inverse(multiply(X0,inverse(inverse(X2)))))),
inference(forward_demodulation,[],[f3055,f1138]) ).
fof(f3124,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,inverse(inverse(X2)))) = multiply(X0,inverse(inverse(multiply(X1,X2)))),
inference(forward_demodulation,[],[f3097,f627]) ).
fof(f3140,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,inverse(inverse(X2)))),
inference(forward_demodulation,[],[f3124,f627]) ).
fof(f3148,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f3140,f627]) ).
fof(f3153,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[],[f509,f3148]) ).
fof(f3154,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f3153]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f7]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f510]) ).
cnf(s6,plain,
spl0_3,
inference(sat_conversion,[],[f3154]) ).
cnf(s7,plain,
spl0_1,
inference(rat,[],[s4,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7]) ).
fof(f3160,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP515-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:11:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.15/1.14 % (2398681)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.15/1.14 % (2398788)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2946814319:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 2.15/1.14 % (2398785)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2393031324:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 2.15/1.14 % (2398783)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=274560213:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 2.15/1.14 % (2398787)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1338364072:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 2.15/1.14 % (2398784)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1924944466:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 2.15/1.14 % (2398789)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4094172052:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 2.15/1.14 % (2398786)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1086418213:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 2.15/1.14 % (2398788)First to succeed.
% 2.15/1.14 % (2398788)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2398681"
% 2.15/1.14 % (2398786)Instruction limit reached!
% 2.15/1.14 % (2398786)------------------------------
% 2.15/1.14 % (2398786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/1.14 % (2398786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/1.14 % (2398786)CaDiCaL version: 2.1.3
% 2.15/1.14 % (2398786)Termination reason: Instruction limit
% 2.15/1.14 % (2398786)Termination phase: Saturation
% 2.15/1.14 % (2398786)Time elapsed: 0.082 s
% 2.15/1.14 % (2398786)Peak memory usage: 89 MB
% 2.15/1.14 % (2398786)Instructions burned: 136 (million)
% 2.15/1.14 % (2398787)Instruction limit reached!
% 2.15/1.14 % (2398787)------------------------------
% 2.15/1.14 % (2398787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/1.14 % (2398787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/1.14 % (2398787)CaDiCaL version: 2.1.3
% 2.15/1.14 % (2398787)Termination reason: Instruction limit
% 2.15/1.14 % (2398787)Termination phase: Saturation
% 2.15/1.14 % (2398787)Time elapsed: 0.101 s
% 2.15/1.14 % (2398787)Peak memory usage: 89 MB
% 2.15/1.14 % (2398787)Instructions burned: 182 (million)
% 2.15/1.14 % (2398789)Also succeeded, but the first one will report.
% 2.15/1.14 % (2398788)Refutation found. Thanks to Tanya!
% 2.15/1.14 % SZS status Unsatisfiable for theBenchmark
% 2.15/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.82/1.34 % (2398788)------------------------------
% 2.82/1.34 % (2398788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.34 % (2398788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.34 % (2398788)CaDiCaL version: 2.1.3
% 2.82/1.34 % (2398788)Termination reason: Refutation
% 2.82/1.34 % (2398788)Time elapsed: 0.053 s
% 2.82/1.34 % (2398788)Peak memory usage: 90 MB
% 2.82/1.34 % (2398788)Instructions burned: 159 (million)
% 2.82/1.34 % (2398788)------------------------------
% 2.82/1.34 % (2398788)------------------------------
% 2.82/1.34 % (2398681)Success in time 0.306 s
% 2.82/1.34 % Vampire exiting
%------------------------------------------------------------------------------