%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP297-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 10:17:25 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 42
% Syntax : Number of formulae : 254 ( 23 unt; 18 def)
% Number of atoms : 691 ( 227 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 805 ( 368 ~; 419 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',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/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c1)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f39]) ).
fof(f43,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X1) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,X3) != sk_c6
| inverse(X2) != X3
| multiply(X3,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,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(sk_c7,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != multiply(X2,X3)
| inverse(X2) != X3
| sk_c6 != multiply(X3,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
! [X2,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) ),
inference(equality_resolution,[],[f54]) ).
fof(f57,definition,
( spl0_1
<=> ! [X2] :
( sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f58,plain,
( ! [X2] :
( sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_2
<=> ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f61,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c7 != inverse(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_3
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl0_4
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f69,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl0_5
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f72,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_6
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f55,f74,f71,f67,f63,f60,f57]) ).
fof(f79,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f81,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f52,f67,f79]) ).
fof(f84,definition,
( spl0_8
<=> sk_c4 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f86,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f50,f67,f84]) ).
fof(f89,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c3,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f91,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f67,f89]) ).
fof(f94,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f96,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f46,f67,f94]) ).
fof(f99,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f101,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f44,f67,f99]) ).
fof(f105,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f107,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f105,f79]) ).
fof(f109,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f105,f84]) ).
fof(f110,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f105,f89]) ).
fof(f111,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f105,f94]) ).
fof(f112,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f105,f99]) ).
fof(f113,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f105,f63]) ).
fof(f115,definition,
( spl0_13
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f117,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f115,f79]) ).
fof(f119,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f115,f84]) ).
fof(f120,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f115,f89]) ).
fof(f121,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f115,f94]) ).
fof(f122,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f115,f99]) ).
fof(f123,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f115,f63]) ).
fof(f127,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f74,f94]) ).
fof(f128,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f74,f99]) ).
fof(f129,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f74,f63]) ).
fof(f130,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl0_8 ),
inference(superposition,[],[f3,f86]) ).
fof(f131,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f3,f101]) ).
fof(f133,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f136,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_7 ),
inference(superposition,[],[f4,f81]) ).
fof(f137,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f96]) ).
fof(f140,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f133,f1]) ).
fof(f142,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f130]) ).
fof(f143,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f142,f1]) ).
fof(f144,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f131]) ).
fof(f145,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f144,f1]) ).
fof(f146,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f143,f91]) ).
fof(f158,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f145,f96]) ).
fof(f164,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c2,sk_c5)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f137,f64]) ).
fof(f168,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f164,f158]) ).
fof(f171,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f145,f168]) ).
fof(f173,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f171,f99,f94,f63,f74]) ).
fof(f176,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f75]) ).
fof(f177,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c6)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f136,f158]) ).
fof(f180,plain,
( multiply(sk_c6,sk_c7) = sk_c4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f177,f146]) ).
fof(f181,plain,
( sk_c5 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f180,f64]) ).
fof(f194,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f81,f181]) ).
fof(f202,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f176,f64]) ).
fof(f208,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f202,f194]) ).
fof(f211,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f208,f69]) ).
fof(f212,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f223,plain,
( identity != sk_c6
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_5 ),
inference(superposition,[],[f72,f3]) ).
fof(f228,definition,
( spl0_14
<=> sk_c7 = inverse(inverse(sk_c7)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f230,plain,
( sk_c7 != inverse(inverse(sk_c7))
| spl0_14 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f232,definition,
( spl0_15
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f233,plain,
( identity = sk_c6
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( identity != sk_c6
| spl0_15 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f235,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f223,f71,f232,f228]) ).
fof(f289,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f140,f3]) ).
fof(f298,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f140,f140]) ).
fof(f303,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f140,f146]) ).
fof(f306,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f140,f68]) ).
fof(f316,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f303,f3]) ).
fof(f323,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f289,f298]) ).
fof(f324,plain,
( $false
| ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f316,f234]) ).
fof(f325,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f326,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_15 ),
inference(superposition,[],[f1,f233]) ).
fof(f327,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f61,f96]) ).
fof(f329,plain,
( sk_c7 != sk_c5
| sk_c7 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f61,f75]) ).
fof(f333,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f327]) ).
fof(f336,definition,
( spl0_21
<=> sk_c7 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f338,plain,
( sk_c7 != inverse(sk_c7)
| spl0_21 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f340,definition,
( spl0_22
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f341,plain,
( sk_c7 = sk_c5
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f342,plain,
( sk_c7 != sk_c5
| spl0_22 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f343,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f329,f74,f60,f340,f336]) ).
fof(f345,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f333,f101]) ).
fof(f346,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f359,plain,
( sk_c6 != multiply(sk_c3,sk_c4)
| sk_c6 != multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f58,f86]) ).
fof(f364,plain,
( identity != sk_c6
| sk_c6 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f58,f3]) ).
fof(f365,plain,
( sk_c6 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f364,f233]) ).
fof(f369,plain,
( sk_c6 != multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f359,f91]) ).
fof(f372,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f369,f81]) ).
fof(f373,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f428,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f168,f341]) ).
fof(f438,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f326,f64]) ).
fof(f451,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f72,f428]) ).
fof(f454,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f451]) ).
fof(f457,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f454,f101]) ).
fof(f458,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f459,plain,
( sk_c7 != sk_c5
| spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f65,f326]) ).
fof(f471,plain,
( $false
| spl0_3
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f459,f341]) ).
fof(f472,plain,
( spl0_3
| ~ spl0_15
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f496,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f107]) ).
fof(f498,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f72,f117]) ).
fof(f499,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f140,f117]) ).
fof(f501,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f498]) ).
fof(f502,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f499,f107]) ).
fof(f503,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f501,f107]) ).
fof(f504,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f508,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_12 ),
inference(superposition,[],[f140,f496]) ).
fof(f526,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f502,f75]) ).
fof(f529,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f140,f502]) ).
fof(f531,plain,
( identity = sk_c6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f529,f3]) ).
fof(f535,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f526,f342]) ).
fof(f536,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f535]) ).
fof(f537,plain,
( $false
| ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f531,f234]) ).
fof(f538,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f542,definition,
( spl0_24
<=> sk_c6 = multiply(sk_c7,inverse(sk_c7)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f543,plain,
( sk_c6 = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f544,plain,
( sk_c6 != multiply(sk_c7,inverse(sk_c7))
| spl0_24 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f546,plain,
( ~ spl0_24
| ~ spl0_1
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f365,f232,f57,f542]) ).
fof(f549,plain,
( spl0_22
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f438,f232,f63,f340]) ).
fof(f563,plain,
( sk_c1 = inverse(sk_c7)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f508,f323]) ).
fof(f603,plain,
( sk_c7 != sk_c1
| ~ spl0_12
| spl0_21 ),
inference(superposition,[],[f338,f563]) ).
fof(f604,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_12
| spl0_14 ),
inference(superposition,[],[f230,f563]) ).
fof(f608,plain,
( $false
| ~ spl0_12
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f604,f107]) ).
fof(f609,plain,
( ~ spl0_12
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f620,plain,
( sk_c6 != multiply(sk_c7,sk_c1)
| ~ spl0_12
| spl0_24 ),
inference(superposition,[],[f544,f563]) ).
fof(f621,plain,
( identity != sk_c6
| ~ spl0_12
| spl0_24 ),
inference(forward_demodulation,[],[f620,f496]) ).
fof(f622,plain,
( $false
| ~ spl0_12
| ~ spl0_15
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f621,f233]) ).
fof(f623,plain,
( ~ spl0_12
| ~ spl0_15
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f624,plain,
( sk_c6 = multiply(sk_c7,sk_c1)
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f543,f563]) ).
fof(f628,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_12
| ~ spl0_24 ),
inference(superposition,[],[f140,f624]) ).
fof(f631,plain,
( sk_c5 = sk_c1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f628,f306]) ).
fof(f633,plain,
( sk_c7 = sk_c1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f631,f341]) ).
fof(f635,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f633,f603]) ).
fof(f636,plain,
( ~ spl0_4
| ~ spl0_12
| spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f635]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f77]) ).
cnf(s2,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f82]) ).
cnf(s3,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f87]) ).
cnf(s4,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f92]) ).
cnf(s5,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f97]) ).
cnf(s6,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f102]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s10,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s11,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s12,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f112]) ).
cnf(s13,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f113]) ).
cnf(s14,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s16,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s17,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s18,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s19,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s23,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f127]) ).
cnf(s24,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f128]) ).
cnf(s25,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f129]) ).
cnf(s26,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f173]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f212]) ).
cnf(s28,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f235]) ).
cnf(s32,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f325]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f343]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f346]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f373]) ).
cnf(s44,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(sat_conversion,[],[f458]) ).
cnf(s45,plain,
( spl0_3
| ~ spl0_15
| ~ spl0_22 ),
inference(sat_conversion,[],[f472]) ).
cnf(s48,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f504]) ).
cnf(s50,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_22 ),
inference(sat_conversion,[],[f536]) ).
cnf(s51,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f538]) ).
cnf(s53,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_24 ),
inference(sat_conversion,[],[f546]) ).
cnf(s54,plain,
( ~ spl0_3
| ~ spl0_15
| spl0_22 ),
inference(sat_conversion,[],[f549]) ).
cnf(s62,plain,
( ~ spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f609]) ).
cnf(s63,plain,
( ~ spl0_12
| ~ spl0_15
| spl0_24 ),
inference(sat_conversion,[],[f623]) ).
cnf(s64,plain,
( ~ spl0_4
| ~ spl0_12
| spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f636]) ).
cnf(s65,plain,
spl0_3,
inference(rat,[],[s45,s50,s51,s13,s19,s25]) ).
cnf(s66,plain,
spl0_6,
inference(rat,[],[s26,s23,s24,s65]) ).
cnf(s67,plain,
( ~ spl0_15
| ~ spl0_5 ),
inference(rat,[],[s44,s11,s12,s62,s28,s54,s65]) ).
cnf(s68,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s48,s10,s16]) ).
cnf(s69,plain,
~ spl0_5,
inference(rat,[],[s48,s9,s15,s32,s68,s67]) ).
cnf(s70,plain,
spl0_4,
inference(rat,[],[s27,s2,s3,s4,s5,s6,s65,s66]) ).
cnf(s71,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s34,s11,s12]) ).
cnf(s72,plain,
( ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s64,s63,s33,s54,s71,s70,s66,s65]) ).
cnf(s73,plain,
~ spl0_2,
inference(rat,[],[s34,s17,s18,s51,s72,s71]) ).
cnf(s74,plain,
spl0_1,
inference(rat,[],[s1,s66,s69,s65,s70,s73]) ).
cnf(s75,plain,
spl0_12,
inference(rat,[],[s37,s8,s9,s10,s74]) ).
cnf(s77,plain,
~ spl0_15,
inference(rat,[],[s63,s53,s75,s74]) ).
cnf(s78,plain,
~ spl0_13,
inference(rat,[],[s51,s75,s77]) ).
cnf(s79,plain,
spl0_9,
inference(rat,[],[s16,s78]) ).
cnf(s82,plain,
spl0_8,
inference(rat,[],[s15,s78]) ).
cnf(s83,plain,
spl0_7,
inference(rat,[],[s14,s78]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s37,s82,s74,s83,s79]) ).
fof(f637,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP297-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n006.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 09:48:26 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.44 % (2742173)Will run a generic schedule for satisfiability detection.
% 0.14/0.44 % (2742179)% WARNING: option uhcvi not known.
% 0.14/0.44 % (2742179)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3675875982:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.44 % (2742178)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1909354328_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.44 % (2742180)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1925773535:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.44 % (2742181)dis+10_1_sil=32000:sp=arity:random_seed=4188900288:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.44 % (2742184)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1234424276:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.44 % (2742183)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2116849933:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.44 % (2742182)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1852389706:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.44 % TRYING [1]
% 0.14/0.44 % TRYING [2]
% 0.14/0.44 % TRYING [3]
% 0.14/0.44 % TRYING [4]
% 0.14/0.44 % (2742182) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2742173-2742182"...
% 0.14/0.44 % (2742179) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2742173-2742179"...
% 0.14/0.44 % TRYING [5]
% 0.14/0.44 % (2742181) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2742173-2742181"...
% 0.14/0.44 % (2742182)...printing done.
% 0.14/0.44 % (2742179)...printing done.
% 0.14/0.44 % (2742182)Refutation found. Thanks to Tanya!
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.44 % (2742182)------------------------------
% 0.14/0.44 % (2742182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.44 % (2742182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.44 % (2742182)CaDiCaL version: 2.1.3
% 0.14/0.44 % (2742182)Termination reason: Refutation
% 0.14/0.44 % (2742182)Time elapsed: 0.016 s
% 0.14/0.44 % (2742182)Peak memory usage: 12 MB
% 0.14/0.44 % (2742182)Instructions burned: 23 (million)
% 0.14/0.44 % (2742173)Success in time 0.048 s
% 0.14/0.44 % Vampire exiting
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