%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP292-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 10:13:33 AM UTC 2026
% Result : Unsatisfiable 2.41s 1.18s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 35
% Syntax : Number of formulae : 230 ( 23 unt; 13 def)
% Number of atoms : 678 ( 218 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 835 ( 387 ~; 435 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c5 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c5
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c5 = inverse(sk_c2)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(X1,sk_c5) != sk_c6
| inverse(X1) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| multiply(X2,X3) != sk_c6
| inverse(X2) != X3
| multiply(X3,sk_c5) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X1,sk_c5)
| sk_c5 != inverse(X1)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(X2,X3)
| inverse(X2) != X3
| sk_c6 != multiply(X3,sk_c5) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
! [X2,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X1,sk_c5)
| sk_c5 != inverse(X1)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c5) ),
inference(equality_resolution,[],[f46]) ).
fof(f49,definition,
( spl0_1
<=> ! [X2] :
( sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f50,plain,
( ! [X2] :
( sk_c6 != multiply(inverse(X2),sk_c5)
| sk_c6 != multiply(X2,inverse(X2)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,definition,
( spl0_2
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,definition,
( spl0_3
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c5)
| sk_c5 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f57,plain,
( ! [X1] :
( sk_c5 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,definition,
( spl0_4
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f60,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,definition,
( spl0_5
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f63,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f47,f62,f59,f56,f52,f49]) ).
fof(f67,definition,
( spl0_6
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f69,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl0_7
<=> sk_c5 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f73,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f44,f71,f67]) ).
fof(f76,definition,
( spl0_8
<=> sk_c4 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f78,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f42,f71,f76]) ).
fof(f81,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c3,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f83,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f40,f71,f81]) ).
fof(f85,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f38,f71,f52]) ).
fof(f87,definition,
( spl0_10
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f89,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f36,f87,f67]) ).
fof(f91,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f34,f87,f76]) ).
fof(f92,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f32,f87,f81]) ).
fof(f93,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f30,f87,f52]) ).
fof(f95,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f97,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f28,f95,f67]) ).
fof(f100,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f24,f95,f81]) ).
fof(f101,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f22,f95,f52]) ).
fof(f103,definition,
( spl0_12
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f105,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f20,f103,f67]) ).
fof(f108,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f16,f103,f81]) ).
fof(f109,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f14,f103,f52]) ).
fof(f110,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f62,f67]) ).
fof(f111,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f62,f76]) ).
fof(f112,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f62,f81]) ).
fof(f113,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f62,f52]) ).
fof(f114,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl0_8 ),
inference(superposition,[],[f3,f78]) ).
fof(f117,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f118,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl0_2 ),
inference(superposition,[],[f4,f53]) ).
fof(f119,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f83]) ).
fof(f120,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f69]) ).
fof(f121,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f117,f1]) ).
fof(f124,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f114]) ).
fof(f125,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f124,f1]) ).
fof(f129,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f125,f83]) ).
fof(f139,plain,
( multiply(sk_c3,sk_c4) = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f119,f129]) ).
fof(f141,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f139,f83]) ).
fof(f142,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f120,f53]) ).
fof(f148,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f118,f141]) ).
fof(f150,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f148,f53]) ).
fof(f154,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f121,f3]) ).
fof(f155,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f121,f121]) ).
fof(f159,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f121,f83]) ).
fof(f163,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f121,f129]) ).
fof(f164,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f121,f69]) ).
fof(f165,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl0_8 ),
inference(superposition,[],[f121,f114]) ).
fof(f168,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f163,f3]) ).
fof(f177,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f64,f150]) ).
fof(f181,plain,
( sk_c3 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f165,f168]) ).
fof(f182,plain,
( sk_c5 = sk_c3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f181,f164]) ).
fof(f186,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f83,f182]) ).
fof(f187,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f78,f182]) ).
fof(f206,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f142,f141]) ).
fof(f208,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f121,f206]) ).
fof(f210,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f208,f164]) ).
fof(f212,plain,
( $false
| ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f210,f177]) ).
fof(f213,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f224,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c5)
| inverse(X0) != sk_c7 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f60,f210]) ).
fof(f225,plain,
( ! [X0] :
( inverse(X0) != sk_c5
| sk_c6 != multiply(X0,sk_c5) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f224,f210]) ).
fof(f226,plain,
( spl0_3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f225,f81,f76,f67,f59,f52,f56]) ).
fof(f229,plain,
( identity != sk_c6
| sk_c6 != multiply(sk_c5,inverse(sk_c5))
| ~ spl0_1 ),
inference(superposition,[],[f50,f3]) ).
fof(f230,plain,
( sk_c6 != multiply(sk_c5,inverse(sk_c5))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f229,f168]) ).
fof(f233,plain,
( sk_c6 != multiply(sk_c5,sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f230,f187]) ).
fof(f238,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f233,f186]) ).
fof(f239,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f310,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c6) = X0
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f154,f168]) ).
fof(f320,plain,
( ! [X0] : multiply(X0,sk_c6) = X0
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f155,f310]) ).
fof(f339,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f320,f164]) ).
fof(f613,plain,
( sk_c5 != sk_c5
| sk_c6 != multiply(sk_c4,sk_c5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f57,f339]) ).
fof(f616,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f613]) ).
fof(f618,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f616,f69]) ).
fof(f619,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f643,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f154,f155]) ).
fof(f646,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f3,f73]) ).
fof(f649,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_11 ),
inference(superposition,[],[f3,f97]) ).
fof(f652,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f121,f89]) ).
fof(f653,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c5,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f89]) ).
fof(f654,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f652,f73]) ).
fof(f657,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_12 ),
inference(superposition,[],[f121,f105]) ).
fof(f659,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f657,f97]) ).
fof(f660,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f659,f63]) ).
fof(f664,plain,
( sk_c2 = multiply(inverse(sk_c5),identity)
| ~ spl0_7 ),
inference(superposition,[],[f121,f646]) ).
fof(f667,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f105,f660]) ).
fof(f669,plain,
( identity = multiply(sk_c5,sk_c1)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f649,f660]) ).
fof(f677,plain,
( sk_c7 != sk_c5
| spl0_2
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f54,f654]) ).
fof(f681,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f121,f654]) ).
fof(f683,plain,
( identity = sk_c6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f681,f3]) ).
fof(f687,plain,
( $false
| spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f677,f660]) ).
fof(f688,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f690,plain,
( sk_c5 != sk_c5
| sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f57,f73]) ).
fof(f692,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f690]) ).
fof(f694,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f692,f89]) ).
fof(f695,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f696,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c5)
| inverse(X0) != sk_c7 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f60,f660]) ).
fof(f697,plain,
( ! [X0] :
( inverse(X0) != sk_c5
| sk_c6 != multiply(X0,sk_c5) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f696,f660]) ).
fof(f698,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f697,f103,f95,f62,f59,f56]) ).
fof(f704,definition,
( spl0_16
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f705,plain,
( identity = sk_c6
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f708,plain,
( spl0_16
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f683,f87,f71,f704]) ).
fof(f709,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_16 ),
inference(superposition,[],[f1,f705]) ).
fof(f725,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c5,X0)) = X0
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f653,f709]) ).
fof(f732,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f725,f646]) ).
fof(f733,plain,
( sk_c1 = multiply(sk_c2,identity)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f725,f669]) ).
fof(f743,plain,
( sk_c1 = multiply(sk_c2,sk_c6)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f733,f705]) ).
fof(f744,plain,
( sk_c2 = multiply(sk_c2,sk_c6)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f732,f705]) ).
fof(f748,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c1)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f121,f743]) ).
fof(f751,plain,
( sk_c6 = multiply(sk_c5,sk_c1)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f748,f73]) ).
fof(f757,plain,
( sk_c1 = sk_c2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f744,f743]) ).
fof(f801,plain,
( sk_c2 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f664,f705]) ).
fof(f802,plain,
( sk_c1 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f801,f757]) ).
fof(f891,plain,
( ! [X0] : multiply(X0,sk_c6) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f643,f705]) ).
fof(f897,plain,
( sk_c1 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f891,f802]) ).
fof(f902,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f159,f891]) ).
fof(f927,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f902,f704,f81,f76]) ).
fof(f940,plain,
( sk_c6 != multiply(sk_c1,sk_c5)
| sk_c6 != multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f50,f897]) ).
fof(f946,plain,
( sk_c6 != multiply(sk_c5,sk_c1)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f940,f667]) ).
fof(f949,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f946,f751]) ).
fof(f950,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f949]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f65]) ).
cnf(s2,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f74]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f79]) ).
cnf(s4,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f84]) ).
cnf(s5,plain,
( spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f85]) ).
cnf(s6,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f90]) ).
cnf(s7,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f91]) ).
cnf(s8,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f92]) ).
cnf(s9,plain,
( spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f93]) ).
cnf(s10,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f98]) ).
cnf(s12,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f100]) ).
cnf(s13,plain,
( spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f101]) ).
cnf(s14,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f106]) ).
cnf(s16,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s17,plain,
( spl0_2
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s18,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f110]) ).
cnf(s19,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f111]) ).
cnf(s20,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f112]) ).
cnf(s21,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f113]) ).
cnf(s22,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f213]) ).
cnf(s23,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f226]) ).
cnf(s26,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f239]) ).
cnf(s29,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f619]) ).
cnf(s31,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f688]) ).
cnf(s32,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f695]) ).
cnf(s33,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f698]) ).
cnf(s35,plain,
( ~ spl0_7
| ~ spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f708]) ).
cnf(s39,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f927]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f950]) ).
cnf(s52,plain,
spl0_2,
inference(rat,[],[s31,s5,s9,s13,s17,s21]) ).
cnf(s53,plain,
spl0_5,
inference(rat,[],[s22,s18,s19,s20,s52]) ).
cnf(s54,plain,
( spl0_9
| ~ spl0_4
| spl0_3 ),
inference(rat,[],[s33,s12,s16,s53]) ).
cnf(s55,plain,
( spl0_8
| ~ spl0_9 ),
inference(rat,[],[s35,s3,s7,s39]) ).
cnf(s56,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s33,s10,s14,s23,s52,s53]) ).
cnf(s57,plain,
( ~ spl0_4
| spl0_3 ),
inference(rat,[],[s56,s55,s54]) ).
cnf(s58,plain,
( spl0_3
| spl0_1 ),
inference(rat,[],[s57,s1,s53,s52]) ).
cnf(s59,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s32,s4,s8]) ).
cnf(s60,plain,
( spl0_6
| ~ spl0_3 ),
inference(rat,[],[s32,s2,s6]) ).
cnf(s61,plain,
~ spl0_3,
inference(rat,[],[s29,s55,s60,s59]) ).
cnf(s62,plain,
spl0_1,
inference(rat,[],[s58,s61]) ).
cnf(s64,plain,
spl0_9,
inference(rat,[],[s51,s35,s4,s8,s12,s16,s53,s62]) ).
cnf(s65,plain,
spl0_8,
inference(rat,[],[s55,s64]) ).
cnf(s66,plain,
~ spl0_6,
inference(rat,[],[s26,s64,s62,s65]) ).
cnf(s68,plain,
spl0_12,
inference(rat,[],[s14,s66]) ).
cnf(s69,plain,
spl0_11,
inference(rat,[],[s10,s66]) ).
cnf(s70,plain,
spl0_10,
inference(rat,[],[s6,s66]) ).
cnf(s71,plain,
spl0_7,
inference(rat,[],[s2,s66]) ).
cnf(s72,plain,
spl0_16,
inference(rat,[],[s35,s71,s70]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s51,s72,s68,s69,s62,s53,s70,s71]) ).
fof(f951,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP292-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:43:25 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 2.41/1.18 % (1165646)Input is clausal, will run a generic CNF schedule.
% 2.41/1.18 % (1165655)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3804224637:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.41/1.18 % (1165651)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=368090722:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.41/1.18 % (1165652)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2541726220:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.41/1.18 % (1165654)lrs+10_1_sil=8000:sp=occurrence:random_seed=553442168:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.41/1.18 % (1165656)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2478731414:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.41/1.18 % (1165653)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2638395031:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.41/1.18 % (1165657)dis-21_1_sil=8000:lcm=predicate:random_seed=799052151: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)
% 2.41/1.18 % (1165657)Refutation not found, incomplete strategy
% 2.41/1.18 % (1165657)------------------------------
% 2.41/1.18 % (1165657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.41/1.18 % (1165657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/1.18 % (1165657)CaDiCaL version: 2.1.3
% 2.41/1.18 % (1165657)Termination reason: Refutation not found, incomplete strategy
% 2.41/1.18 % (1165657)Time elapsed: 0.002 s
% 2.41/1.18 % (1165657)Peak memory usage: 88 MB
% 2.41/1.18 % (1165657)Instructions burned: 1 (million)
% 2.41/1.18 % (1165654)Refutation not found, incomplete strategy
% 2.41/1.18 % (1165654)------------------------------
% 2.41/1.18 % (1165654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.41/1.18 % (1165654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/1.18 % (1165654)CaDiCaL version: 2.1.3
% 2.41/1.18 % (1165654)Termination reason: Refutation not found, incomplete strategy
% 2.41/1.18 % (1165654)Time elapsed: 0.003 s
% 2.41/1.18 % (1165654)Peak memory usage: 88 MB
% 2.41/1.18 % (1165654)Instructions burned: 3 (million)
% 2.41/1.18 % (1165655)Instruction limit reached!
% 2.41/1.18 % (1165655)------------------------------
% 2.41/1.18 % (1165655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.41/1.18 % (1165655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/1.18 % (1165655)CaDiCaL version: 2.1.3
% 2.41/1.18 % (1165655)Termination reason: Instruction limit
% 2.41/1.18 % (1165655)Termination phase: Saturation
% 2.41/1.18 % (1165655)Time elapsed: 0.037 s
% 2.41/1.18 % (1165655)Peak memory usage: 89 MB
% 2.41/1.18 % (1165655)Instructions burned: 117 (million)
% 2.41/1.18 % (1165656)First to succeed.
% 2.41/1.18 % (1165656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1165646"
% 2.41/1.18 % (1165656)Refutation found. Thanks to Tanya!
% 2.41/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.41/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 3.01/1.38 % (1165656)------------------------------
% 3.01/1.38 % (1165656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.38 % (1165656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.38 % (1165656)CaDiCaL version: 2.1.3
% 3.01/1.38 % (1165656)Termination reason: Refutation
% 3.01/1.38 % (1165656)Time elapsed: 0.020 s
% 3.01/1.38 % (1165656)Peak memory usage: 89 MB
% 3.01/1.38 % (1165656)Instructions burned: 32 (million)
% 3.01/1.38 % (1165656)------------------------------
% 3.01/1.38 % (1165656)------------------------------
% 3.01/1.38 % (1165646)Success in time 0.349 s
% 3.01/1.38 % Vampire exiting
%------------------------------------------------------------------------------