%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP065-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:12:30 AM UTC 2026
% Result : Unsatisfiable 6.92s 1.70s
% Output : Refutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 18
% Syntax : Number of formulae : 110 ( 100 unt; 14 def)
% Number of atoms : 125 ( 105 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 12 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f5,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF0 = inverse(a1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
inverse(a1) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = multiply(sF0,a1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
multiply(sF0,a1) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = inverse(b1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
inverse(b1) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = multiply(sF2,b1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
multiply(sF2,b1) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF4 = inverse(b2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f15,plain,
inverse(b2) = sF4,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF5 = multiply(sF4,b2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f17,plain,
multiply(sF4,b2) = sF5,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF6 = multiply(sF5,a2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f19,plain,
multiply(sF5,a2) = sF6,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF7 = multiply(a3,b3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f21,plain,
multiply(a3,b3) = sF7,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF8 = multiply(sF7,c3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f23,plain,
multiply(sF7,c3) = sF8,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF9 = multiply(b3,c3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f25,plain,
multiply(b3,c3) = sF9,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF10 = multiply(a3,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f27,plain,
multiply(a3,sF9) = sF10,
inference(reorient_equations,[],[f26]) ).
fof(f28,plain,
( sF1 != sF3
| a2 != sF6
| sF8 != sF10 ),
inference(definition_folding,[],[f5,f27,f25,f23,f21,f19,f17,f15,f13,f11,f9,f7]) ).
fof(f30,definition,
( spl11_1
<=> sF8 = sF10 ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f32,plain,
( sF8 != sF10
| spl11_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f34,definition,
( spl11_2
<=> a2 = sF6 ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f38,definition,
( spl11_3
<=> sF1 = sF3 ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f41,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f28,f38,f34,f30]) ).
fof(f42,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f43,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f44,plain,
multiply(inverse(a1),a1) = sF1,
inference(forward_demodulation,[],[f9,f7]) ).
fof(f45,plain,
multiply(inverse(b1),b1) = sF3,
inference(forward_demodulation,[],[f13,f11]) ).
fof(f46,plain,
multiply(inverse(b2),b2) = sF5,
inference(forward_demodulation,[],[f17,f15]) ).
fof(f47,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f43,f3]) ).
fof(f54,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1),
inference(superposition,[],[f47,f3]) ).
fof(f55,plain,
! [X2,X3,X0,X1] : inverse(divide(X2,divide(X0,divide(inverse(X2),divide(inverse(X1),X3))))) = divide(inverse(divide(X1,X0)),X3),
inference(superposition,[],[f47,f47]) ).
fof(f58,plain,
! [X2,X0,X1] : multiply(inverse(divide(X1,divide(X0,divide(inverse(X1),inverse(X2))))),X2) = X0,
inference(superposition,[],[f42,f47]) ).
fof(f59,plain,
! [X2,X0,X1] : multiply(inverse(divide(X1,divide(X0,multiply(inverse(X1),X2)))),X2) = X0,
inference(forward_demodulation,[],[f58,f42]) ).
fof(f62,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1),
inference(forward_demodulation,[],[f54,f42]) ).
fof(f72,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f62,f62]) ).
fof(f106,plain,
! [X0,X1] : divide(X0,X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f42,f72]) ).
fof(f135,plain,
! [X0] : divide(X0,X0) = sF1,
inference(superposition,[],[f44,f106]) ).
fof(f151,plain,
! [X0] : inverse(X0) = divide(sF1,X0),
inference(superposition,[],[f3,f135]) ).
fof(f152,plain,
! [X0] : sF1 = multiply(inverse(X0),X0),
inference(superposition,[],[f42,f135]) ).
fof(f154,plain,
! [X0] : sF1 = inverse(divide(X0,X0)),
inference(superposition,[],[f3,f135]) ).
fof(f168,plain,
sF1 = sF3,
inference(backward_demodulation,[],[f45,f152]) ).
fof(f169,plain,
sF1 = sF5,
inference(backward_demodulation,[],[f46,f152]) ).
fof(f175,plain,
sF6 = multiply(sF1,a2),
inference(backward_demodulation,[],[f19,f169]) ).
fof(f176,plain,
spl11_3,
inference(avatar_split_clause,[],[f168,f38]) ).
fof(f183,plain,
sF1 = inverse(sF1),
inference(superposition,[],[f135,f151]) ).
fof(f188,plain,
! [X0] : inverse(inverse(X0)) = multiply(sF1,X0),
inference(superposition,[],[f42,f151]) ).
fof(f192,plain,
sF6 = inverse(inverse(a2)),
inference(backward_demodulation,[],[f175,f188]) ).
fof(f301,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = divide(X0,sF1),
inference(superposition,[],[f42,f154]) ).
fof(f322,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X2,X2),X1)),X3) = inverse(divide(X0,divide(X1,divide(inverse(X0),divide(sF1,X3))))),
inference(superposition,[],[f55,f154]) ).
fof(f324,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(divide(X3,divide(X0,divide(inverse(X3),X4))),X2)),X4) = inverse(divide(X1,divide(X2,divide(inverse(X1),X0)))),
inference(superposition,[],[f55,f47]) ).
fof(f340,plain,
! [X2,X0,X1] : inverse(divide(X0,sF1)) = divide(inverse(divide(X1,divide(inverse(X0),divide(inverse(X1),X2)))),X2),
inference(superposition,[],[f55,f135]) ).
fof(f348,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,X0)),X2) = inverse(inverse(divide(X0,divide(inverse(sF1),divide(inverse(X1),X2))))),
inference(superposition,[],[f55,f151]) ).
fof(f357,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,X0)),X2) = inverse(inverse(divide(X0,divide(sF1,divide(inverse(X1),X2))))),
inference(forward_demodulation,[],[f348,f183]) ).
fof(f365,plain,
! [X0] : inverse(X0) = inverse(divide(X0,sF1)),
inference(forward_demodulation,[],[f340,f47]) ).
fof(f378,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X2,X2),X1)),X3) = inverse(divide(X0,divide(X1,divide(inverse(X0),inverse(X3))))),
inference(forward_demodulation,[],[f322,f151]) ).
fof(f380,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,X0)),X2) = inverse(inverse(divide(X0,inverse(divide(inverse(X1),X2))))),
inference(forward_demodulation,[],[f357,f151]) ).
fof(f394,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X2,X2),X1)),X3) = inverse(divide(X0,divide(X1,multiply(inverse(X0),X3)))),
inference(forward_demodulation,[],[f378,f42]) ).
fof(f396,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,X0)),X2) = inverse(inverse(multiply(X0,divide(inverse(X1),X2)))),
inference(forward_demodulation,[],[f380,f42]) ).
fof(f398,plain,
! [X3,X0,X1] : inverse(divide(X0,divide(X1,multiply(inverse(X0),X3)))) = divide(inverse(inverse(X1)),X3),
inference(forward_demodulation,[],[f394,f3]) ).
fof(f400,plain,
! [X2,X0] : multiply(divide(inverse(inverse(X0)),X2),X2) = X0,
inference(backward_demodulation,[],[f59,f398]) ).
fof(f413,plain,
! [X0,X1] : multiply(X1,divide(X0,sF1)) = divide(X1,inverse(X0)),
inference(superposition,[],[f42,f365]) ).
fof(f421,plain,
! [X0,X1] : multiply(X1,divide(X0,sF1)) = multiply(X1,X0),
inference(forward_demodulation,[],[f413,f42]) ).
fof(f434,plain,
! [X0,X1] : multiply(X1,sF1) = multiply(X1,divide(X0,X0)),
inference(superposition,[],[f421,f72]) ).
fof(f456,plain,
! [X0,X1] : divide(X0,sF1) = multiply(divide(inverse(inverse(X0)),X1),X1),
inference(superposition,[],[f400,f365]) ).
fof(f475,plain,
! [X0] : divide(X0,sF1) = X0,
inference(forward_demodulation,[],[f456,f400]) ).
fof(f483,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(backward_demodulation,[],[f301,f475]) ).
fof(f496,plain,
! [X1] : multiply(X1,sF1) = X1,
inference(backward_demodulation,[],[f434,f483]) ).
fof(f527,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,X2)),sF1) = inverse(divide(X1,divide(X2,divide(inverse(X1),inverse(X0))))),
inference(superposition,[],[f55,f475]) ).
fof(f531,plain,
! [X0] : multiply(inverse(inverse(X0)),sF1) = X0,
inference(superposition,[],[f400,f475]) ).
fof(f535,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f531,f496]) ).
fof(f539,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,X2)),sF1) = inverse(divide(X1,divide(X2,multiply(inverse(X1),X0)))),
inference(forward_demodulation,[],[f527,f42]) ).
fof(f545,plain,
! [X3,X0,X1] : divide(X1,X3) = inverse(divide(X0,divide(X1,multiply(inverse(X0),X3)))),
inference(backward_demodulation,[],[f398,f535]) ).
fof(f546,plain,
! [X2,X0] : multiply(divide(X0,X2),X2) = X0,
inference(backward_demodulation,[],[f400,f535]) ).
fof(f550,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,X0)),X2) = multiply(X0,divide(inverse(X1),X2)),
inference(backward_demodulation,[],[f396,f535]) ).
fof(f551,plain,
a2 = sF6,
inference(backward_demodulation,[],[f192,f535]) ).
fof(f553,plain,
! [X2,X0,X1] : inverse(divide(X0,X2)) = inverse(divide(X1,divide(X2,multiply(inverse(X1),X0)))),
inference(forward_demodulation,[],[f539,f475]) ).
fof(f555,plain,
spl11_2,
inference(avatar_split_clause,[],[f551,f34]) ).
fof(f572,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X1,divide(X2,divide(inverse(X1),X0)))) = multiply(X2,divide(inverse(divide(X3,divide(X0,divide(inverse(X3),X4)))),X4)),
inference(backward_demodulation,[],[f324,f550]) ).
fof(f575,plain,
! [X2,X0] : divide(X2,X0) = inverse(divide(X0,X2)),
inference(forward_demodulation,[],[f553,f545]) ).
fof(f576,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X1,divide(X2,divide(inverse(X1),X0)))) = multiply(X2,multiply(divide(X0,divide(inverse(X3),X4)),divide(inverse(X3),X4))),
inference(forward_demodulation,[],[f572,f550]) ).
fof(f596,plain,
! [X2,X0,X1] : inverse(divide(X1,divide(X2,divide(inverse(X1),X0)))) = multiply(X2,X0),
inference(forward_demodulation,[],[f576,f546]) ).
fof(f614,plain,
! [X2,X0,X1] : multiply(X2,X0) = divide(divide(X2,divide(inverse(X1),X0)),X1),
inference(forward_demodulation,[],[f596,f575]) ).
fof(f665,plain,
! [X0,X1] : divide(divide(X0,sF1),X1) = multiply(X0,inverse(X1)),
inference(superposition,[],[f614,f135]) ).
fof(f700,plain,
! [X0,X1] : divide(X0,X1) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[],[f665,f475]) ).
fof(f771,plain,
! [X2,X0,X1] : divide(X0,divide(inverse(X2),X1)) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f546,f614]) ).
fof(f863,plain,
! [X2,X0,X1] : divide(X2,divide(X1,X0)) = multiply(X2,divide(X0,X1)),
inference(superposition,[],[f700,f575]) ).
fof(f869,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,divide(X1,inverse(X2))),
inference(backward_demodulation,[],[f771,f863]) ).
fof(f883,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f869,f42]) ).
fof(f956,plain,
! [X0] : multiply(a3,multiply(b3,X0)) = multiply(sF7,X0),
inference(superposition,[],[f883,f21]) ).
fof(f1170,plain,
multiply(sF7,c3) = multiply(a3,sF9),
inference(superposition,[],[f956,f25]) ).
fof(f1184,plain,
multiply(sF7,c3) = sF10,
inference(forward_demodulation,[],[f1170,f27]) ).
fof(f1187,plain,
sF8 = sF10,
inference(forward_demodulation,[],[f1184,f23]) ).
fof(f1189,plain,
( $false
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f1187,f32]) ).
fof(f1190,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f1189]) ).
cnf(s1,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(sat_conversion,[],[f41]) ).
cnf(s2,plain,
spl11_3,
inference(sat_conversion,[],[f176]) ).
cnf(s3,plain,
spl11_2,
inference(sat_conversion,[],[f555]) ).
cnf(s5,plain,
spl11_1,
inference(sat_conversion,[],[f1190]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s3,s5]) ).
fof(f1191,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP065-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 09:19:26 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.92/1.70 % (236933)Input is clausal, will run a generic CNF schedule.
% 6.92/1.70 % (236941)lrs+10_1_sil=8000:sp=occurrence:random_seed=1877092103:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.92/1.70 % (236943)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3846058125:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.92/1.70 % (236942)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4178019724:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.92/1.70 % (236939)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3449924489:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.92/1.70 % (236938)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=3924533916:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.92/1.70 % (236944)dis-21_1_sil=8000:lcm=predicate:random_seed=2645930486:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.92/1.70 % (236940)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1707468863:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.92/1.70 % (236944)Refutation not found, incomplete strategy
% 6.92/1.70 % (236944)------------------------------
% 6.92/1.70 % (236944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236944)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236944)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.70 % (236944)Time elapsed: 0.001 s
% 6.92/1.70 % (236944)Peak memory usage: 88 MB
% 6.92/1.70 % (236941)Instruction limit reached!
% 6.92/1.70 % (236941)------------------------------
% 6.92/1.70 % (236941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236941)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236941)Termination reason: Instruction limit
% 6.92/1.70 % (236941)Termination phase: Saturation
% 6.92/1.70 % (236941)Time elapsed: 0.064 s
% 6.92/1.70 % (236941)Peak memory usage: 88 MB
% 6.92/1.70 % (236941)Instructions burned: 108 (million)
% 6.92/1.70 % (236942)Instruction limit reached!
% 6.92/1.70 % (236942)------------------------------
% 6.92/1.70 % (236942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236942)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236942)Termination reason: Instruction limit
% 6.92/1.70 % (236942)Termination phase: Saturation
% 6.92/1.70 % (236942)Time elapsed: 0.069 s
% 6.92/1.70 % (236942)Peak memory usage: 89 MB
% 6.92/1.70 % (236942)Instructions burned: 115 (million)
% 6.92/1.70 % (236943)Instruction limit reached!
% 6.92/1.70 % (236943)------------------------------
% 6.92/1.70 % (236943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236943)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236943)Termination reason: Instruction limit
% 6.92/1.70 % (236943)Termination phase: Saturation
% 6.92/1.70 % (236943)Time elapsed: 0.100 s
% 6.92/1.70 % (236943)Peak memory usage: 90 MB
% 6.92/1.70 % (236943)Instructions burned: 181 (million)
% 6.92/1.70 % (236952)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2671529873:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.92/1.70 % (236952)Refutation not found, incomplete strategy
% 6.92/1.70 % (236952)------------------------------
% 6.92/1.70 % (236952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236952)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236952)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.70 % (236952)Time elapsed: 0.001 s
% 6.92/1.70 % (236952)Peak memory usage: 88 MB
% 6.92/1.70 % (236953)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3668377137:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.92/1.70 % (236953)Refutation not found, incomplete strategy
% 6.92/1.70 % (236953)------------------------------
% 6.92/1.70 % (236953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236953)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236953)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.70 % (236953)Time elapsed: 0.021 s
% 6.92/1.70 % (236953)Peak memory usage: 88 MB
% 6.92/1.70 % (236953)Instructions burned: 35 (million)
% 6.92/1.70 % (236954)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2671969741:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.92/1.70 % (236944)------------------------------
% 6.92/1.70 % (236944)------------------------------
% 6.92/1.70 % (236954)Refutation not found, incomplete strategy
% 6.92/1.70 % (236954)------------------------------
% 6.92/1.70 % (236954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236954)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236954)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.70 % (236954)Time elapsed: 0.017 s
% 6.92/1.70 % (236954)Peak memory usage: 88 MB
% 6.92/1.70 % (236954)Instructions burned: 29 (million)
% 6.92/1.70 % (236952)------------------------------
% 6.92/1.70 % (236952)------------------------------
% 6.92/1.70 % (236958)lrs+10_64_to=lpo:sil=8000:random_seed=1022089939:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.92/1.70 % (236959)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1935337783:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.92/1.70 % (236958)Instruction limit reached!
% 6.92/1.70 % (236958)------------------------------
% 6.92/1.70 % (236958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236958)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236958)Termination reason: Instruction limit
% 6.92/1.70 % (236958)Termination phase: Saturation
% 6.92/1.70 % (236958)Time elapsed: 0.072 s
% 6.92/1.70 % (236958)Peak memory usage: 89 MB
% 6.92/1.70 % (236958)Instructions burned: 127 (million)
% 6.92/1.70 % (236953)------------------------------
% 6.92/1.70 % (236953)------------------------------
% 6.92/1.70 % (236959)Instruction limit reached!
% 6.92/1.70 % (236959)------------------------------
% 6.92/1.70 % (236959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236959)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236959)Termination reason: Instruction limit
% 6.92/1.70 % (236959)Termination phase: Saturation
% 6.92/1.70 % (236959)Time elapsed: 0.060 s
% 6.92/1.70 % (236959)Peak memory usage: 90 MB
% 6.92/1.70 % (236959)Instructions burned: 198 (million)
% 6.92/1.70 % (236954)------------------------------
% 6.92/1.70 % (236954)------------------------------
% 6.92/1.70 % (236964)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3831367548:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.92/1.70 % (236962)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=121831618:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.92/1.70 % (236964)Instruction limit reached!
% 6.92/1.70 % (236964)------------------------------
% 6.92/1.70 % (236964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236964)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236964)Termination reason: Instruction limit
% 6.92/1.70 % (236964)Termination phase: Saturation
% 6.92/1.70 % (236964)Time elapsed: 0.033 s
% 6.92/1.70 % (236964)Peak memory usage: 89 MB
% 6.92/1.70 % (236964)Instructions burned: 107 (million)
% 6.92/1.70 % (236963)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=473631170:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.92/1.70 % (236965)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3773536375:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.92/1.70 % (236965)Refutation not found, incomplete strategy
% 6.92/1.70 % (236965)------------------------------
% 6.92/1.70 % (236965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236965)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236965)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.70 % (236965)Time elapsed: 0.001 s
% 6.92/1.70 % (236965)Peak memory usage: 88 MB
% 6.92/1.70 % (236962)Instruction limit reached!
% 6.92/1.70 % (236962)------------------------------
% 6.92/1.70 % (236962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.70 % (236962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.70 % (236962)CaDiCaL version: 2.1.3
% 6.92/1.70 % (236962)Termination reason: Instruction limit
% 6.92/1.70 % (236962)Termination phase: Saturation
% 6.92/1.70 % (236962)Time elapsed: 0.100 s
% 6.92/1.70 % (236962)Peak memory usage: 91 MB
% 6.92/1.70 % (236962)Instructions burned: 158 (million)
% 6.92/1.70 % (236969)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1545134153:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.92/1.70 % (236940)First to succeed.
% 6.92/1.70 % (236940)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-236933"
% 6.92/1.70 % (236939)Also succeeded, but the first one will report.
% 6.92/1.70 % (236969)Also succeeded, but the first one will report.
% 6.92/1.70 % (236938)Also succeeded, but the first one will report.
% 6.92/1.70 % (236972)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1718054081:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.92/1.70 % (236965)------------------------------
% 6.92/1.70 % (236965)------------------------------
% 6.92/1.70 % (236940)Refutation found. Thanks to Tanya!
% 6.92/1.70 % SZS status Unsatisfiable for theBenchmark
% 6.92/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 8.13/1.89 % (236940)------------------------------
% 8.13/1.89 % (236940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.13/1.89 % (236940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.89 % (236940)CaDiCaL version: 2.1.3
% 8.13/1.89 % (236940)Termination reason: Refutation
% 8.13/1.89 % (236940)Time elapsed: 0.703 s
% 8.13/1.89 % (236940)Peak memory usage: 129 MB
% 8.13/1.89 % (236940)Instructions burned: 1055 (million)
% 8.13/1.89 % (236940)------------------------------
% 8.13/1.89 % (236940)------------------------------
% 8.13/1.89 % (236933)Success in time 1.107 s
% 8.13/1.89 % Vampire exiting
%------------------------------------------------------------------------------