%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP107-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 10:16:40 AM UTC 2026
% Result : Unsatisfiable 2.31s 0.88s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 7
% Syntax : Number of formulae : 92 ( 68 unt; 4 def)
% Number of atoms : 126 ( 85 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 31 ~; 30 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 175 ( 0 sgn 175 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,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))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,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))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f7,definition,
( spl0_1
<=> inverse(double_divide(b4,a4)) = inverse(double_divide(a4,b4)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f11,definition,
( spl0_2
<=> inverse(double_divide(c3,inverse(double_divide(b3,a3)))) = inverse(double_divide(inverse(double_divide(c3,b3)),a3)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_3
<=> a2 = inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f17,plain,
( a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| spl0_3 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f19,definition,
( spl0_4
<=> inverse(double_divide(a1,inverse(a1))) = inverse(double_divide(b1,inverse(b1))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f21,plain,
( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| spl0_4 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f19,f15,f11,f7]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(X1,X2),inverse(double_divide(inverse(X3),inverse(double_divide(X1,inverse(double_divide(inverse(X0),X2))))))))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f24,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X1),X2),inverse(double_divide(inverse(X0),X2))),inverse(X0)) = X1,
inference(superposition,[],[f1,f1]) ).
fof(f37,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(inverse(inverse(X3)),X2))))),inverse(X0)))) = X3,
inference(superposition,[],[f23,f23]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X0),inverse(double_divide(X2,inverse(double_divide(inverse(inverse(X4)),X3))))))))),inverse(X0)),inverse(X4)) = X1,
inference(superposition,[],[f24,f23]) ).
fof(f45,plain,
! [X3,X0] : double_divide(X0,inverse(double_divide(inverse(X3),inverse(X0)))) = X3,
inference(forward_demodulation,[],[f37,f1]) ).
fof(f49,plain,
! [X0,X1] : double_divide(double_divide(X1,inverse(X1)),inverse(X0)) = X0,
inference(superposition,[],[f1,f45]) ).
fof(f62,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))) = X0,
inference(superposition,[],[f49,f45]) ).
fof(f84,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(inverse(X2),inverse(double_divide(X1,inverse(X1)))))),inverse(X2)) = X0,
inference(superposition,[],[f24,f62]) ).
fof(f90,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(double_divide(inverse(X2),inverse(double_divide(X1,inverse(X1)))))))) = X2,
inference(superposition,[],[f1,f62]) ).
fof(f91,plain,
! [X2,X0] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(X2)))) = X2,
inference(forward_demodulation,[],[f90,f62]) ).
fof(f94,plain,
! [X2,X0] : double_divide(double_divide(X0,inverse(X2)),inverse(X2)) = X0,
inference(forward_demodulation,[],[f84,f62]) ).
fof(f103,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,inverse(double_divide(X1,inverse(X1)))),
inference(superposition,[],[f94,f62]) ).
fof(f171,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f91,f62]) ).
fof(f199,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X0))) = X1,
inference(superposition,[],[f45,f171]) ).
fof(f200,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,inverse(double_divide(X0,inverse(X1)))),
inference(superposition,[],[f45,f171]) ).
fof(f201,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(X1,inverse(X1)),X0),
inference(superposition,[],[f49,f171]) ).
fof(f207,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X0) = X1,
inference(superposition,[],[f94,f171]) ).
fof(f244,plain,
! [X0,X1] : double_divide(inverse(inverse(double_divide(inverse(X0),inverse(inverse(X1))))),inverse(X0)) = X1,
inference(superposition,[],[f24,f201]) ).
fof(f272,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),inverse(inverse(X1))),inverse(X0)) = X1,
inference(forward_demodulation,[],[f244,f171]) ).
fof(f285,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),X1),inverse(X0)) = X1,
inference(forward_demodulation,[],[f272,f171]) ).
fof(f458,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f285,f171]) ).
fof(f497,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[],[f207,f458]) ).
fof(f624,plain,
( inverse(double_divide(a4,b4)) != inverse(double_divide(a4,b4))
| spl0_1 ),
inference(superposition,[],[f9,f497]) ).
fof(f661,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f624]) ).
fof(f662,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f699,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(a3,inverse(double_divide(c3,b3))))
| spl0_2 ),
inference(forward_demodulation,[],[f13,f497]) ).
fof(f700,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f699,f497]) ).
fof(f701,plain,
( inverse(double_divide(a3,inverse(double_divide(b3,c3)))) != inverse(double_divide(c3,inverse(double_divide(a3,b3))))
| spl0_2 ),
inference(forward_demodulation,[],[f700,f497]) ).
fof(f999,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = inverse(double_divide(X1,inverse(X1))),
inference(superposition,[],[f103,f49]) ).
fof(f1263,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),inverse(double_divide(X0,X1))),
inference(superposition,[],[f199,f171]) ).
fof(f1285,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(X1),X2)) = double_divide(X1,inverse(double_divide(double_divide(inverse(X0),X2),inverse(X0)))),
inference(superposition,[],[f23,f199]) ).
fof(f1322,plain,
! [X2,X1] : inverse(double_divide(inverse(X1),X2)) = double_divide(X1,inverse(X2)),
inference(forward_demodulation,[],[f1285,f458]) ).
fof(f1376,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = inverse(double_divide(X0,inverse(X1))),
inference(superposition,[],[f200,f207]) ).
fof(f3553,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(X0)) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f1263,f207]) ).
fof(f3772,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f1322,f171]) ).
fof(f5649,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f3772,f3553]) ).
fof(f6201,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),inverse(double_divide(inverse(X2),inverse(double_divide(X0,X1))))) = X2,
inference(superposition,[],[f45,f5649]) ).
fof(f6286,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),double_divide(X2,inverse(inverse(double_divide(X0,X1))))) = X2,
inference(forward_demodulation,[],[f6201,f1322]) ).
fof(f6425,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),double_divide(X2,double_divide(X0,X1))) = X2,
inference(forward_demodulation,[],[f6286,f171]) ).
fof(f7530,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X4),double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X0),inverse(double_divide(X2,inverse(double_divide(inverse(inverse(X4)),X3))))))))),inverse(X0))) = X1,
inference(forward_demodulation,[],[f41,f497]) ).
fof(f7531,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X4),double_divide(inverse(X0),double_divide(inverse(X1),inverse(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X0),inverse(double_divide(X2,inverse(double_divide(inverse(inverse(X4)),X3))))))))))) = X1,
inference(forward_demodulation,[],[f7530,f497]) ).
fof(f7532,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X4),double_divide(inverse(X0),inverse(double_divide(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X0),inverse(double_divide(X2,inverse(double_divide(inverse(inverse(X4)),X3))))))),X1)))) = X1,
inference(forward_demodulation,[],[f7531,f3553]) ).
fof(f7533,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X4),inverse(double_divide(double_divide(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X0),inverse(double_divide(X2,inverse(double_divide(inverse(inverse(X4)),X3))))))),X1),X0))) = X1,
inference(forward_demodulation,[],[f7532,f3553]) ).
fof(f7534,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(double_divide(double_divide(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X0),inverse(double_divide(X2,inverse(double_divide(inverse(inverse(X4)),X3))))))),X1),X0),X4)) = X1,
inference(forward_demodulation,[],[f7533,f3553]) ).
fof(f7535,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X4,double_divide(double_divide(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X0),inverse(double_divide(X2,inverse(double_divide(inverse(inverse(X4)),X3))))))),X1),X0))) = X1,
inference(forward_demodulation,[],[f7534,f5649]) ).
fof(f7536,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X4,double_divide(X0,double_divide(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X0),inverse(double_divide(X2,inverse(double_divide(inverse(inverse(X4)),X3))))))),X1)))) = X1,
inference(forward_demodulation,[],[f7535,f497]) ).
fof(f7537,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X4,double_divide(X0,double_divide(double_divide(double_divide(X2,X3),double_divide(X0,inverse(inverse(double_divide(X2,inverse(double_divide(inverse(inverse(X4)),X3))))))),X1)))) = X1,
inference(forward_demodulation,[],[f7536,f1322]) ).
fof(f7538,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X4,double_divide(X0,double_divide(double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X2,inverse(double_divide(inverse(inverse(X4)),X3))))),X1)))) = X1,
inference(forward_demodulation,[],[f7537,f171]) ).
fof(f7539,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X4,double_divide(X0,double_divide(double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X2,double_divide(inverse(X4),inverse(X3))))),X1)))) = X1,
inference(forward_demodulation,[],[f7538,f1322]) ).
fof(f7540,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X4,double_divide(X0,double_divide(double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X2,inverse(double_divide(X3,X4))))),X1)))) = X1,
inference(forward_demodulation,[],[f7539,f3553]) ).
fof(f7728,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X1),X2),inverse(double_divide(X0,X2))),X0) = X1,
inference(superposition,[],[f24,f7540]) ).
fof(f7827,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(inverse(X1),X2),inverse(double_divide(X0,X2)))) = X1,
inference(forward_demodulation,[],[f7728,f497]) ).
fof(f9343,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X1,X2)) = double_divide(X0,double_divide(X2,X1)),
inference(superposition,[],[f458,f6425]) ).
fof(f11510,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(inverse(X2),inverse(double_divide(inverse(X0),inverse(X1)))),inverse(X0))) = X2,
inference(superposition,[],[f7827,f45]) ).
fof(f11694,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(inverse(X0),double_divide(inverse(X2),inverse(double_divide(inverse(X0),inverse(X1)))))) = X2,
inference(forward_demodulation,[],[f11510,f9343]) ).
fof(f11805,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(inverse(X0),inverse(double_divide(double_divide(inverse(X0),inverse(X1)),X2)))) = X2,
inference(forward_demodulation,[],[f11694,f3553]) ).
fof(f11879,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),X2),X0))) = X2,
inference(forward_demodulation,[],[f11805,f3553]) ).
fof(f11932,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(X0,double_divide(double_divide(inverse(X0),inverse(X1)),X2)))) = X2,
inference(forward_demodulation,[],[f11879,f5649]) ).
fof(f11969,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),X2)))) = X2,
inference(forward_demodulation,[],[f11932,f3553]) ).
fof(f12555,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(X2,X0))) = inverse(double_divide(inverse(X0),inverse(inverse(double_divide(X1,X2))))),
inference(superposition,[],[f11969,f45]) ).
fof(f12761,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(X2,X0))) = double_divide(X0,inverse(inverse(inverse(double_divide(X1,X2))))),
inference(forward_demodulation,[],[f12555,f1322]) ).
fof(f12894,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(X2,X0))) = double_divide(X0,inverse(double_divide(X1,X2))),
inference(forward_demodulation,[],[f12761,f171]) ).
fof(f14724,plain,
( inverse(double_divide(a3,inverse(double_divide(b3,c3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3))))
| spl0_2 ),
inference(superposition,[],[f701,f12894]) ).
fof(f14725,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f14724]) ).
fof(f14726,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f14725]) ).
fof(f15910,plain,
( a2 != double_divide(double_divide(b2,inverse(b2)),inverse(a2))
| spl0_3 ),
inference(forward_demodulation,[],[f17,f1376]) ).
fof(f15912,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f15910,f49]) ).
fof(f15913,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f15912]) ).
fof(f15921,plain,
( inverse(double_divide(a1,inverse(a1))) != double_divide(b1,inverse(b1))
| spl0_4 ),
inference(forward_demodulation,[],[f21,f1376]) ).
fof(f15922,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f15921,f999]) ).
fof(f15923,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f15922]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f22]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f662]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f14726]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f15913]) ).
cnf(s6,plain,
spl0_4,
inference(sat_conversion,[],[f15923]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5,s4,s3]) ).
fof(f15924,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP107-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:22:11 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.31/0.88 % (2567147)Will run a generic schedule for satisfiability detection.
% 2.31/0.88 % (2567164)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1492296678:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.31/0.88 % (2567159)% WARNING: option uhcvi not known.
% 2.31/0.88 % (2567160)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4250030331:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.31/0.88 % (2567161)dis+10_1_sil=32000:sp=arity:random_seed=340374060:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.31/0.88 % (2567158)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1999787112_2999 on theBenchmark for (2999ds/0Mi)
% 2.31/0.88 % (2567163)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4226610343:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.31/0.88 % (2567159)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2723722515:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.31/0.88 % (2567162)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1590179916:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.31/0.88 % TRYING [1]
% 2.31/0.88 % TRYING [2]
% 2.31/0.88 % TRYING [3]
% 2.31/0.88 % TRYING [4]
% 2.31/0.88 % (2567164)Instruction limit reached!
% 2.31/0.88 % (2567164)------------------------------
% 2.31/0.88 % (2567164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.88 % (2567164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.88 % (2567164)CaDiCaL version: 2.1.3
% 2.31/0.88 % (2567164)Termination reason: Instruction limit
% 2.31/0.88 % (2567164)Termination phase: Saturation
% 2.31/0.88 % (2567164)Time elapsed: 0.055 s
% 2.31/0.88 % (2567164)Peak memory usage: 13 MB
% 2.31/0.88 % (2567164)Instructions burned: 161 (million)
% 2.31/0.88 % (2567161)Instruction limit reached!
% 2.31/0.88 % (2567161)------------------------------
% 2.31/0.88 % (2567161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.88 % (2567161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.88 % (2567161)CaDiCaL version: 2.1.3
% 2.31/0.88 % (2567161)Termination reason: Instruction limit
% 2.31/0.88 % (2567161)Termination phase: Saturation
% 2.31/0.88 % (2567161)Time elapsed: 0.057 s
% 2.31/0.88 % (2567161)Peak memory usage: 12 MB
% 2.31/0.88 % (2567161)Instructions burned: 103 (million)
% 2.31/0.88 % (2567194)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3297951706:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.31/0.88 % TRYING [1]
% 2.31/0.88 % TRYING [2]
% 2.31/0.88 % TRYING [3]
% 2.31/0.88 % (2567162)Instruction limit reached!
% 2.31/0.88 % (2567162)------------------------------
% 2.31/0.88 % (2567162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.88 % (2567162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.88 % (2567162)CaDiCaL version: 2.1.3
% 2.31/0.88 % (2567162)Termination reason: Instruction limit
% 2.31/0.88 % (2567162)Termination phase: Saturation
% 2.31/0.88 % (2567162)Time elapsed: 0.068 s
% 2.31/0.88 % (2567162)Peak memory usage: 13 MB
% 2.31/0.88 % (2567162)Instructions burned: 117 (million)
% 2.31/0.88 % (2567199)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2887467285:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.31/0.88 % TRYING [4]
% 2.31/0.88 % (2567163)Instruction limit reached!
% 2.31/0.88 % (2567163)------------------------------
% 2.31/0.88 % (2567163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.88 % (2567163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.88 % (2567163)CaDiCaL version: 2.1.3
% 2.31/0.88 % (2567163)Termination reason: Instruction limit
% 2.31/0.88 % (2567163)Termination phase: Saturation
% 2.31/0.88 % (2567163)Time elapsed: 0.077 s
% 2.31/0.88 % (2567163)Peak memory usage: 13 MB
% 2.31/0.88 % (2567163)Instructions burned: 134 (million)
% 2.31/0.88 % (2567206)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3549604547:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.31/0.88 % (2567212)ott-21_1_sil=16000:fs=off:random_seed=108208730:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.31/0.88 % (2567199)Instruction limit reached!
% 2.31/0.88 % (2567199)------------------------------
% 2.31/0.88 % (2567199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.88 % (2567199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.88 % (2567199)CaDiCaL version: 2.1.3
% 2.31/0.88 % (2567199)Termination reason: Instruction limit
% 2.31/0.88 % (2567199)Termination phase: Saturation
% 2.31/0.88 % (2567199)Time elapsed: 0.079 s
% 2.31/0.88 % (2567199)Peak memory usage: 12 MB
% 2.31/0.88 % (2567199)Instructions burned: 131 (million)
% 2.31/0.88 % (2567239)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2816019042:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.31/0.88 % (2567212)Instruction limit reached!
% 2.31/0.88 % (2567212)------------------------------
% 2.31/0.88 % (2567212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.88 % (2567212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.88 % (2567212)CaDiCaL version: 2.1.3
% 2.31/0.88 % (2567212)Termination reason: Instruction limit
% 2.31/0.88 % (2567212)Termination phase: Saturation
% 2.31/0.88 % (2567212)Time elapsed: 0.115 s
% 2.31/0.88 % (2567212)Peak memory usage: 12 MB
% 2.31/0.88 % (2567212)Instructions burned: 181 (million)
% 2.31/0.88 % (2567253)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4243511515:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.31/0.88 % TRYING [1]
% 2.31/0.88 % TRYING [2]
% 2.31/0.88 % TRYING [3]
% 2.31/0.88 % TRYING [4]
% 2.31/0.88 % (2567194)Instruction limit reached!
% 2.31/0.88 % (2567194)------------------------------
% 2.31/0.88 % (2567194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.88 % (2567194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.88 % (2567194)CaDiCaL version: 2.1.3
% 2.31/0.88 % (2567194)Termination reason: Instruction limit
% 2.31/0.88 % (2567194)Termination phase: Finite model building SAT solving
% 2.31/0.88 % (2567194)Time elapsed: 0.212 s
% 2.31/0.88 % (2567194)Peak memory usage: 12 MB
% 2.31/0.88 % (2567194)Instructions burned: 715 (million)
% 2.31/0.88 % (2567264)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3141133736:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.31/0.88 % TRYING [5]
% 2.31/0.88 % TRYING [5]
% 2.31/0.88 % (2567206) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2567147-2567206"...
% 2.31/0.88 % (2567206)...printing done.
% 2.31/0.88 % (2567206)Refutation found. Thanks to Tanya!
% 2.31/0.88 % SZS status Unsatisfiable for theBenchmark
% 2.31/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.88 % (2567206)------------------------------
% 2.31/0.88 % (2567206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.88 % (2567206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.88 % (2567206)CaDiCaL version: 2.1.3
% 2.31/0.88 % (2567206)Termination reason: Refutation
% 2.31/0.88 % (2567206)Time elapsed: 0.331 s
% 2.31/0.88 % (2567206)Peak memory usage: 20 MB
% 2.31/0.88 % (2567206)Instructions burned: 632 (million)
% 2.31/0.88 % (2567147)Success in time 0.458 s
% 2.31/0.88 % Vampire exiting
%------------------------------------------------------------------------------