%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP229-1 : 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 : n008.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 10:17:14 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 47
% Syntax : Number of formulae : 235 ( 19 unt; 13 def)
% Number of atoms : 707 ( 251 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 843 ( 371 ~; 459 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 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,
( inverse(sk_c1) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c1) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c8 = inverse(sk_c2)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c8
| multiply(sk_c8,X1) != sk_c7
| multiply(X2,sk_c8) != X1
| inverse(X2) != 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/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != multiply(sk_c8,X1)
| multiply(X2,sk_c8) != X1
| sk_c8 != inverse(X2)
| 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] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| 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] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| 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(f78,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f67,f72,f69,f75,f72,f69]) ).
fof(f80,definition,
( spl0_4
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f82,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f86,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f63,f84,f80]) ).
fof(f89,definition,
( spl0_6
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f91,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f61,f84,f89]) ).
fof(f94,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f96,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f59,f84,f94]) ).
fof(f99,definition,
( spl0_8
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f101,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f57,f84,f99]) ).
fof(f104,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f106,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f55,f84,f104]) ).
fof(f108,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f53,f84,f75]) ).
fof(f110,definition,
( spl0_10
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f112,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f51,f110,f80]) ).
fof(f114,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f49,f110,f89]) ).
fof(f115,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f47,f110,f94]) ).
fof(f116,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f45,f110,f99]) ).
fof(f117,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f43,f110,f104]) ).
fof(f118,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f41,f110,f75]) ).
fof(f120,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f122,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f39,f120,f80]) ).
fof(f124,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f37,f120,f89]) ).
fof(f125,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f35,f120,f94]) ).
fof(f126,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f33,f120,f99]) ).
fof(f127,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f31,f120,f104]) ).
fof(f128,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f29,f120,f75]) ).
fof(f130,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f132,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f27,f130,f80]) ).
fof(f134,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f25,f130,f89]) ).
fof(f135,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f23,f130,f94]) ).
fof(f136,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f21,f130,f99]) ).
fof(f137,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f19,f130,f104]) ).
fof(f138,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f17,f130,f75]) ).
fof(f140,definition,
( spl0_13
<=> inverse(sk_c1) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f142,plain,
( inverse(sk_c1) = sk_c8
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f15,f140,f80]) ).
fof(f144,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f13,f140,f89]) ).
fof(f145,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f11,f140,f94]) ).
fof(f146,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f9,f140,f99]) ).
fof(f147,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f7,f140,f104]) ).
fof(f148,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f5,f140,f75]) ).
fof(f149,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f73,f101]) ).
fof(f150,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f149]) ).
fof(f151,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f150,f106]) ).
fof(f152,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f153,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f70,f91]) ).
fof(f154,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f153,f96]) ).
fof(f155,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f154,f82]) ).
fof(f156,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f157,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f142]) ).
fof(f160,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_5 ),
inference(superposition,[],[f3,f86]) ).
fof(f163,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f172,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f163,f1]) ).
fof(f262,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_13 ),
inference(superposition,[],[f172,f157]) ).
fof(f269,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_5 ),
inference(superposition,[],[f172,f160]) ).
fof(f274,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f172,f112]) ).
fof(f279,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f274,f86]) ).
fof(f454,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f279,f122]) ).
fof(f458,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f172,f279]) ).
fof(f460,plain,
( identity = sk_c3
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f458,f3]) ).
fof(f473,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f132,f454]) ).
fof(f496,plain,
( sk_c1 = sk_c2
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f269,f262]) ).
fof(f499,plain,
( sk_c3 = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f112,f496]) ).
fof(f501,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f499,f460]) ).
fof(f512,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f473,f501]) ).
fof(f517,plain,
( sk_c7 != inverse(identity)
| spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f77,f512]) ).
fof(f530,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f262,f512]) ).
fof(f536,plain,
( identity = sk_c1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f530,f3]) ).
fof(f548,plain,
( sk_c8 != inverse(identity)
| spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f517,f454]) ).
fof(f554,plain,
( identity != inverse(identity)
| spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f548,f512]) ).
fof(f563,plain,
( sk_c8 = inverse(identity)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f142,f536]) ).
fof(f572,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f563,f512]) ).
fof(f593,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f572,f554]) ).
fof(f594,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f595,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f73,f454]) ).
fof(f596,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f76,f454]) ).
fof(f598,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f595,f512]) ).
fof(f599,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f596,f512]) ).
fof(f601,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f598,f512]) ).
fof(f613,plain,
( identity != sk_c1
| identity != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f601,f262]) ).
fof(f619,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f613,f536]) ).
fof(f624,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f619,f512]) ).
fof(f627,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f624,f599]) ).
fof(f628,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f627,f599]) ).
fof(f629,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f630,plain,
( ! [X5] :
( sk_c7 != multiply(identity,multiply(X5,identity))
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f70,f512]) ).
fof(f631,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f630,f1]) ).
fof(f632,plain,
( ! [X5] :
( sk_c8 != multiply(X5,identity)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f631,f454]) ).
fof(f633,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f632,f512]) ).
fof(f634,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f633,f512]) ).
fof(f639,plain,
( identity != sk_c1
| identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f634,f262]) ).
fof(f645,plain,
( identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f639,f536]) ).
fof(f650,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f645,f512]) ).
fof(f653,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f650,f599]) ).
fof(f654,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f653,f599]) ).
fof(f655,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f654]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f78]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f87]) ).
cnf(s4,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f92]) ).
cnf(s5,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f97]) ).
cnf(s6,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f102]) ).
cnf(s7,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f107]) ).
cnf(s8,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f113]) ).
cnf(s10,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f114]) ).
cnf(s11,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f115]) ).
cnf(s12,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f116]) ).
cnf(s13,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f117]) ).
cnf(s14,plain,
( spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f123]) ).
cnf(s16,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f124]) ).
cnf(s17,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f125]) ).
cnf(s18,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f126]) ).
cnf(s19,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f127]) ).
cnf(s20,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f128]) ).
cnf(s21,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f133]) ).
cnf(s22,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f134]) ).
cnf(s23,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f135]) ).
cnf(s24,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f136]) ).
cnf(s25,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f137]) ).
cnf(s26,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f138]) ).
cnf(s27,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f143]) ).
cnf(s28,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f144]) ).
cnf(s29,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f145]) ).
cnf(s30,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f146]) ).
cnf(s31,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f147]) ).
cnf(s32,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f148]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f152]) ).
cnf(s34,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f156]) ).
cnf(s38,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f594]) ).
cnf(s42,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f629]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f655]) ).
cnf(s46,plain,
spl0_3,
inference(rat,[],[s38,s8,s14,s20,s26,s32]) ).
cnf(s48,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s33,s30,s31]) ).
cnf(s49,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s33,s24,s25]) ).
cnf(s50,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s33,s18,s19]) ).
cnf(s51,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s33,s12,s13]) ).
cnf(s52,plain,
( ~ spl0_10
| ~ spl0_13
| ~ spl0_12
| ~ spl0_2
| ~ spl0_11 ),
inference(rat,[],[s33,s6,s7,s42,s46]) ).
cnf(s53,plain,
~ spl0_2,
inference(rat,[],[s52,s51,s50,s49,s48]) ).
cnf(s54,plain,
spl0_1,
inference(rat,[],[s2,s46,s53]) ).
cnf(s55,plain,
spl0_13,
inference(rat,[],[s34,s27,s28,s29,s54]) ).
cnf(s56,plain,
spl0_12,
inference(rat,[],[s34,s21,s22,s23,s54]) ).
cnf(s57,plain,
spl0_11,
inference(rat,[],[s34,s15,s16,s17,s54]) ).
cnf(s58,plain,
spl0_10,
inference(rat,[],[s34,s9,s10,s11,s54]) ).
cnf(s59,plain,
~ spl0_5,
inference(rat,[],[s45,s55,s57,s54,s46,s56,s58]) ).
cnf(s62,plain,
spl0_7,
inference(rat,[],[s5,s59]) ).
cnf(s63,plain,
spl0_6,
inference(rat,[],[s4,s59]) ).
cnf(s64,plain,
spl0_4,
inference(rat,[],[s3,s59]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s34,s54,s62,s63,s64]) ).
fof(f656,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP229-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n008.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 09:39:09 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.19/0.49 % (983728)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (983733)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1274168206_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.49 % TRYING [1]
% 0.19/0.49 % TRYING [2]
% 0.19/0.49 % (983734)% WARNING: option uhcvi not known.
% 0.19/0.49 % TRYING [3]
% 0.19/0.49 % TRYING [4]
% 0.19/0.49 % (983734)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=500995182:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.49 % (983735)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4148905949:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.49 % (983737)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3612586124:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.49 % (983736)dis+10_1_sil=32000:sp=arity:random_seed=4291092265:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.49 % (983738)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=104163297:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % (983739)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=102394662:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.49 % TRYING [5]
% 0.19/0.49 % (983736) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-983728-983736"...
% 0.19/0.49 % (983738) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-983728-983738"...
% 0.19/0.49 % TRYING [6]
% 0.19/0.49 % (983736)...printing done.
% 0.19/0.49 % (983737) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-983728-983737"...
% 0.19/0.49 % (983736)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (983736)------------------------------
% 0.19/0.49 % (983736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (983736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (983736)CaDiCaL version: 2.1.3
% 0.19/0.49 % (983736)Termination reason: Refutation
% 0.19/0.49 % (983736)Time elapsed: 0.013 s
% 0.19/0.49 % (983736)Peak memory usage: 12 MB
% 0.19/0.49 % (983736)Instructions burned: 22 (million)
% 0.19/0.49 % (983728)Success in time 0.052 s
% 0.19/0.49 % Vampire exiting
%------------------------------------------------------------------------------