%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP212-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 10:17:11 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 48
% Syntax : Number of formulae : 249 ( 19 unt; 15 def)
% Number of atoms : 692 ( 258 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 791 ( 348 ~; 428 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c2 = inverse(sk_c1)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f26]) ).
fof(f30,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = inverse(sk_c3)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| multiply(X1,sk_c7) != sk_c8
| inverse(X2) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,X4) != sk_c7
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| sk_c8 != multiply(X1,sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
! [X2,X3,X0,X4,X5] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X5] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f66]) ).
fof(f69,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_3
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( inverse(sk_c8) != sk_c7
| spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_4
<=> ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f67,f79,f72,f75,f72,f69]) ).
fof(f83,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f85,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl0_6
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f89,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f63,f87,f83]) ).
fof(f92,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f94,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f61,f87,f92]) ).
fof(f97,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f99,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f59,f87,f97]) ).
fof(f102,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f104,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f57,f87,f102]) ).
fof(f107,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f109,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f55,f87,f107]) ).
fof(f111,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f53,f87,f75]) ).
fof(f113,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f115,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f51,f113,f83]) ).
fof(f117,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f49,f113,f92]) ).
fof(f118,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f47,f113,f97]) ).
fof(f119,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f45,f113,f102]) ).
fof(f120,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f43,f113,f107]) ).
fof(f121,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f41,f113,f75]) ).
fof(f123,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f125,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f39,f123,f83]) ).
fof(f127,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f37,f123,f92]) ).
fof(f128,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f35,f123,f97]) ).
fof(f129,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f33,f123,f102]) ).
fof(f130,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f31,f123,f107]) ).
fof(f133,definition,
( spl0_13
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f135,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f133,f83]) ).
fof(f137,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f25,f133,f92]) ).
fof(f138,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f133,f97]) ).
fof(f139,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f133,f102]) ).
fof(f140,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f19,f133,f107]) ).
fof(f141,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f17,f133,f75]) ).
fof(f143,definition,
( spl0_14
<=> multiply(sk_c1,sk_c2) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f145,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f15,f143,f83]) ).
fof(f147,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f13,f143,f92]) ).
fof(f148,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f11,f143,f97]) ).
fof(f149,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f9,f143,f102]) ).
fof(f150,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f7,f143,f107]) ).
fof(f151,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f5,f143,f75]) ).
fof(f152,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f73,f104]) ).
fof(f153,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f152]) ).
fof(f154,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f153,f109]) ).
fof(f155,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f156,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f73,f89]) ).
fof(f157,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f156]) ).
fof(f158,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f157,f115]) ).
fof(f159,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f160,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f70,f94]) ).
fof(f161,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f160,f99]) ).
fof(f162,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f161,f85]) ).
fof(f163,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f162]) ).
fof(f174,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f135]) ).
fof(f192,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f193,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c8,X0)
| ~ spl0_14 ),
inference(superposition,[],[f4,f145]) ).
fof(f195,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f174]) ).
fof(f197,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f89]) ).
fof(f198,plain,
( ! [X0,X1] :
( sk_c7 != multiply(sk_c8,multiply(X0,multiply(X1,sk_c8)))
| sk_c8 != inverse(multiply(X0,X1)) )
| ~ spl0_1 ),
inference(superposition,[],[f70,f4]) ).
fof(f199,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f195,f1]) ).
fof(f200,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f192,f1]) ).
fof(f217,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f199,f145]) ).
fof(f227,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f193,f217]) ).
fof(f239,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f227,f145]) ).
fof(f268,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c8,sk_c8))
| sk_c8 != inverse(multiply(sk_c3,sk_c7))
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f198,f197]) ).
fof(f269,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(multiply(sk_c3,sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f268,f239]) ).
fof(f277,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(multiply(sk_c3,sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f269,f239]) ).
fof(f281,plain,
( sk_c8 != inverse(sk_c8)
| sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f277,f89]) ).
fof(f284,plain,
( sk_c8 != sk_c7
| sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f281,f76]) ).
fof(f285,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f284]) ).
fof(f297,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f200,f3]) ).
fof(f298,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f200,f200]) ).
fof(f304,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f200,f217]) ).
fof(f310,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f200,f94]) ).
fof(f312,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f200,f89]) ).
fof(f321,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f312,f115]) ).
fof(f323,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f310,f85]) ).
fof(f327,plain,
( identity = sk_c8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f304,f3]) ).
fof(f330,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f297,f298]) ).
fof(f332,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f321,f239]) ).
fof(f335,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f330,f327]) ).
fof(f336,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f332,f285]) ).
fof(f337,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f338,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f89,f332]) ).
fof(f350,plain,
( multiply(sk_c1,sk_c2) != sk_c8
| sk_c8 != multiply(sk_c2,sk_c7)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f80,f135]) ).
fof(f358,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f80,f109]) ).
fof(f375,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f350,f145]) ).
fof(f388,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f375,f125]) ).
fof(f389,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f410,plain,
( sk_c8 != inverse(sk_c8)
| spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f77,f332]) ).
fof(f414,plain,
( sk_c8 = sk_c3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f338,f335]) ).
fof(f456,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f115,f414]) ).
fof(f457,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f456,f410]) ).
fof(f458,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f463,definition,
( spl0_21
<=> sk_c8 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f464,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f465,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| spl0_21 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f497,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f99,f323]) ).
fof(f509,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_21 ),
inference(forward_demodulation,[],[f465,f497]) ).
fof(f517,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f464,f497]) ).
fof(f533,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f358,f497]) ).
fof(f534,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f104,f497]) ).
fof(f538,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f533,f517]) ).
fof(f541,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f538,f534]) ).
fof(f542,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f564,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f200,f534]) ).
fof(f566,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f564,f109]) ).
fof(f567,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f566,f509]) ).
fof(f568,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f567]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f81]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f90]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f95]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f100]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f105]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f110]) ).
cnf(s8,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f111]) ).
cnf(s9,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f116]) ).
cnf(s10,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f117]) ).
cnf(s11,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f118]) ).
cnf(s12,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s13,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f120]) ).
cnf(s14,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f121]) ).
cnf(s15,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f126]) ).
cnf(s16,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f127]) ).
cnf(s17,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s18,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f129]) ).
cnf(s19,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f130]) ).
cnf(s21,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s22,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s23,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s24,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s25,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s26,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f141]) ).
cnf(s27,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s28,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s29,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s30,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s31,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s32,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f155]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(sat_conversion,[],[f159]) ).
cnf(s35,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f163]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f337]) ).
cnf(s41,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f389]) ).
cnf(s50,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f458]) ).
cnf(s69,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_21 ),
inference(sat_conversion,[],[f542]) ).
cnf(s72,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f568]) ).
cnf(s73,plain,
spl0_3,
inference(rat,[],[s50,s8,s14,s26,s32]) ).
cnf(s74,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s41,s15,s21,s27]) ).
cnf(s75,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s69,s72,s28,s29,s30,s31,s74]) ).
cnf(s76,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s69,s72,s22,s23,s24,s25,s74]) ).
cnf(s77,plain,
~ spl0_4,
inference(rat,[],[s69,s72,s16,s17,s18,s19,s41,s76,s75,s74]) ).
cnf(s79,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s34,s7,s13]) ).
cnf(s80,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s34,s6,s12,s33]) ).
cnf(s81,plain,
~ spl0_2,
inference(rat,[],[s80,s79]) ).
cnf(s82,plain,
spl0_1,
inference(rat,[],[s2,s73,s77,s81]) ).
cnf(s84,plain,
( spl0_11
| ~ spl0_5 ),
inference(rat,[],[s35,s10,s11,s82]) ).
cnf(s85,plain,
( spl0_6
| ~ spl0_5 ),
inference(rat,[],[s35,s4,s5,s82]) ).
cnf(s86,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(rat,[],[s35,s22,s23,s39,s85,s84,s82,s73]) ).
cnf(s87,plain,
~ spl0_14,
inference(rat,[],[s39,s3,s9,s21,s86,s73,s82]) ).
cnf(s88,plain,
spl0_8,
inference(rat,[],[s29,s87]) ).
cnf(s89,plain,
spl0_7,
inference(rat,[],[s28,s87]) ).
cnf(s90,plain,
spl0_5,
inference(rat,[],[s27,s87]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s35,s90,s82,s88,s89]) ).
fof(f569,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP212-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 09:37:19 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.33 Running first-order model finding
% 0.08/0.33 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
% 0.08/0.37 % (2119545)Will run a generic schedule for satisfiability detection.
% 0.08/0.37 % (2119551)% WARNING: option uhcvi not known.
% 0.08/0.37 % (2119550)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=701211628_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.37 % (2119551)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4253426470:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.37 % (2119552)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=448999559:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.37 % (2119553)dis+10_1_sil=32000:sp=arity:random_seed=402136041:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.37 % (2119554)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3094583031:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.37 % (2119555)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2610003084:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.37 % (2119556)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3586485005:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.37 % TRYING [1]
% 0.08/0.37 % TRYING [2]
% 0.08/0.37 % TRYING [3]
% 0.08/0.37 % TRYING [4]
% 0.08/0.37 % (2119554) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2119545-2119554"...
% 0.08/0.37 % (2119554)...printing done.
% 0.08/0.37 % (2119554)Refutation found. Thanks to Tanya!
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.37 % (2119554)------------------------------
% 0.08/0.37 % (2119554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.37 % (2119554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.37 % (2119554)CaDiCaL version: 2.1.3
% 0.08/0.37 % (2119554)Termination reason: Refutation
% 0.08/0.37 % (2119554)Time elapsed: 0.007 s
% 0.08/0.37 % (2119554)Peak memory usage: 12 MB
% 0.08/0.37 % (2119554)Instructions burned: 19 (million)
% 0.08/0.37 % (2119545)Success in time 0.039 s
% 0.08/0.37 % Vampire exiting
%------------------------------------------------------------------------------