%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP354-1 : 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 : n005.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 10:17:34 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 39
% Syntax : Number of formulae : 241 ( 20 unt; 18 def)
% Number of atoms : 738 ( 244 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 935 ( 438 ~; 479 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 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(f11,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f17]) ).
fof(f35,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f51,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f57,negated_conjecture,
( inverse(sk_c9) = sk_c7
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c9) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = inverse(sk_c9)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c9) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c9)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c9) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = inverse(sk_c9)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c9) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c7 = inverse(sk_c9)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f65]) ).
fof(f73,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f77]) ).
fof(f89,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f92,plain,
( sk_c7 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f94,plain,
( sk_c7 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f93]) ).
fof(f101,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c8,sk_c7) != sk_c9
| multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| inverse(sk_c9) != sk_c7
| multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c7
| multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| inverse(X3) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,X5) != sk_c8
| inverse(X4) != X5
| multiply(X5,sk_c7) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c8,sk_c7) != sk_c9
| sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c7 != inverse(sk_c9)
| sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c8 != multiply(X5,sk_c7) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c9
| sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c7 != inverse(sk_c9)
| sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c7) ),
inference(equality_resolution,[],[f102]) ).
fof(f105,definition,
( spl0_1
<=> ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f106,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c7) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f109,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,definition,
( spl0_3
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f112,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f113,plain,
( sk_c8 != multiply(sk_c9,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f115,definition,
( spl0_4
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f116,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,definition,
( spl0_5
<=> ! [X1] :
( sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f119,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_6
<=> sk_c7 = inverse(sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f122,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( sk_c7 != inverse(sk_c9)
| spl0_6 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_7
<=> multiply(sk_c8,sk_c7) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f126,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( multiply(sk_c8,sk_c7) != sk_c9
| spl0_7 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6
| spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f103,f125,f115,f121,f118,f115,f111,f108,f105]) ).
fof(f130,definition,
( spl0_8
<=> sk_c8 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f132,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f134,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f136,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f139,definition,
( spl0_10
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f141,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f144,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f146,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f149,definition,
( spl0_12
<=> sk_c9 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f151,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f94,f134,f149]) ).
fof(f154,definition,
( spl0_13
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f156,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f92,f134,f154]) ).
fof(f158,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f90,f134,f111]) ).
fof(f170,definition,
( spl0_16
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f172,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f176,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f78,f170,f149]) ).
fof(f177,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f76,f170,f154]) ).
fof(f178,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f74,f170,f111]) ).
fof(f182,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f66,f121,f139]) ).
fof(f183,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f64,f121,f144]) ).
fof(f184,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f62,f121,f149]) ).
fof(f185,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f60,f121,f154]) ).
fof(f186,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f58,f121,f111]) ).
fof(f190,definition,
( spl0_17
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f192,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f52,f190,f130]) ).
fof(f202,definition,
( spl0_18
<=> sk_c8 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f204,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f36,f202,f130]) ).
fof(f214,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f18,f125,f139]) ).
fof(f215,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f125,f144]) ).
fof(f216,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f125,f149]) ).
fof(f217,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f12,f125,f154]) ).
fof(f221,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f3,f141]) ).
fof(f222,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_13 ),
inference(superposition,[],[f3,f156]) ).
fof(f225,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f228,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c7,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f112]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f132]) ).
fof(f231,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f146]) ).
fof(f233,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f225,f1]) ).
fof(f235,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f221]) ).
fof(f236,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f235,f1]) ).
fof(f237,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f222]) ).
fof(f238,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f237,f1]) ).
fof(f244,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f236,f146]) ).
fof(f255,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f238,f151]) ).
fof(f270,plain,
( multiply(sk_c5,sk_c6) = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f231,f244]) ).
fof(f276,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f270,f146]) ).
fof(f285,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f233,f3]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c9),X0)
| ~ spl0_13 ),
inference(superposition,[],[f233,f238]) ).
fof(f294,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f233,f233]) ).
fof(f297,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f233,f276]) ).
fof(f298,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f233,f112]) ).
fof(f299,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_8 ),
inference(superposition,[],[f233,f132]) ).
fof(f301,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f233,f255]) ).
fof(f310,plain,
( sk_c7 = sk_c9
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f298,f301]) ).
fof(f311,plain,
( identity = sk_c8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f297,f3]) ).
fof(f318,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f285,f294]) ).
fof(f320,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f318,f311]) ).
fof(f329,plain,
( sk_c9 = sk_c4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f151,f320]) ).
fof(f353,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f156,f329]) ).
fof(f362,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1,f311]) ).
fof(f474,plain,
( sk_c7 != sk_c9
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f123,f353]) ).
fof(f478,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f474,f310]) ).
fof(f479,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f485,plain,
( sk_c7 != sk_c9
| spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f127,f362]) ).
fof(f486,plain,
( $false
| ~ spl0_3
| spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f485,f310]) ).
fof(f487,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f593,plain,
( identity != sk_c8
| sk_c9 != inverse(inverse(sk_c9))
| ~ spl0_4 ),
inference(superposition,[],[f116,f3]) ).
fof(f617,definition,
( spl0_19
<=> sk_c9 = inverse(inverse(sk_c9)) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f618,plain,
( sk_c9 = inverse(inverse(sk_c9))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f619,plain,
( sk_c9 != inverse(inverse(sk_c9))
| spl0_19 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f621,definition,
( spl0_20
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f622,plain,
( identity = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f623,plain,
( identity != sk_c8
| spl0_20 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f624,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f593,f115,f621,f617]) ).
fof(f636,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f298,f288]) ).
fof(f639,plain,
( identity = multiply(sk_c7,sk_c9)
| ~ spl0_6 ),
inference(superposition,[],[f3,f122]) ).
fof(f647,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f3,f136]) ).
fof(f648,plain,
( sk_c8 = multiply(sk_c7,sk_c2)
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f647,f622]) ).
fof(f650,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_20 ),
inference(superposition,[],[f1,f622]) ).
fof(f660,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f126]) ).
fof(f661,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,X0)
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f660,f650]) ).
fof(f664,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_16 ),
inference(superposition,[],[f233,f172]) ).
fof(f667,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f664,f136]) ).
fof(f669,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f667,f661]) ).
fof(f671,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_18 ),
inference(superposition,[],[f233,f204]) ).
fof(f675,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f671,f192]) ).
fof(f726,plain,
( sk_c7 != sk_c9
| sk_c9 != inverse(inverse(sk_c6))
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f109,f299]) ).
fof(f733,plain,
( sk_c9 != inverse(sk_c7)
| ~ spl0_6
| spl0_19 ),
inference(superposition,[],[f619,f122]) ).
fof(f738,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f618,f122]) ).
fof(f740,plain,
( multiply(sk_c8,sk_c9) = multiply(sk_c6,identity)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f229,f639]) ).
fof(f742,plain,
( sk_c9 = multiply(inverse(sk_c7),identity)
| ~ spl0_6 ),
inference(superposition,[],[f233,f639]) ).
fof(f745,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f742,f318]) ).
fof(f747,plain,
( sk_c6 = multiply(sk_c8,sk_c9)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f740,f318]) ).
fof(f749,plain,
( sk_c9 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f747,f650]) ).
fof(f759,plain,
( multiply(sk_c9,sk_c8) = multiply(sk_c8,sk_c2)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_20 ),
inference(superposition,[],[f228,f648]) ).
fof(f764,plain,
( sk_c2 = multiply(sk_c9,sk_c8)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f759,f650]) ).
fof(f767,plain,
( sk_c7 = sk_c2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f764,f669]) ).
fof(f798,plain,
( sk_c7 != sk_c9
| sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f109,f636]) ).
fof(f803,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f798,f310]) ).
fof(f806,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f803,f156]) ).
fof(f807,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f818,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f136,f767]) ).
fof(f823,plain,
( sk_c7 = sk_c9
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f818,f738]) ).
fof(f832,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c9)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f119,f112]) ).
fof(f840,plain,
( sk_c7 != inverse(sk_c9)
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f832]) ).
fof(f847,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f840,f122]) ).
fof(f848,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f847]) ).
fof(f855,plain,
( sk_c9 != inverse(inverse(sk_c6))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f726,f823]) ).
fof(f857,plain,
( sk_c9 != inverse(inverse(sk_c9))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f855,f749]) ).
fof(f858,plain,
( sk_c9 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f857,f122]) ).
fof(f859,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f858,f738]) ).
fof(f860,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f862,plain,
( $false
| ~ spl0_6
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f745,f733]) ).
fof(f863,plain,
( ~ spl0_6
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f887,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f3,f738]) ).
fof(f888,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f887,f112]) ).
fof(f910,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f109,f661]) ).
fof(f915,plain,
( sk_c9 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f910,f675]) ).
fof(f921,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f915,f738]) ).
fof(f922,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f933,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f888,f623]) ).
fof(f934,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_19
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f933]) ).
fof(f955,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_1 ),
inference(superposition,[],[f106,f3]) ).
fof(f956,plain,
( sk_c8 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f955,f622]) ).
fof(f966,plain,
( sk_c8 != multiply(sk_c7,sk_c9)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f956,f738]) ).
fof(f977,plain,
( identity != sk_c8
| ~ spl0_1
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f966,f639]) ).
fof(f990,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f977,f622]) ).
fof(f991,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f992,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f233,f647]) ).
fof(f995,plain,
( sk_c2 = inverse(sk_c7)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f992,f318]) ).
fof(f996,plain,
( sk_c9 = sk_c2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f995,f738]) ).
fof(f1003,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f172,f996]) ).
fof(f1005,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1003,f113]) ).
fof(f1006,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
cnf(s1,plain,
( spl0_4
| spl0_2
| ~ spl0_3
| spl0_1
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f128]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(rat,[],[s1]) ).
cnf(s6,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f152]) ).
cnf(s7,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f157]) ).
cnf(s8,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f158]) ).
cnf(s14,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f176]) ).
cnf(s15,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f177]) ).
cnf(s16,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f178]) ).
cnf(s20,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f182]) ).
cnf(s21,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f183]) ).
cnf(s22,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f184]) ).
cnf(s23,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f185]) ).
cnf(s24,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f186]) ).
cnf(s27,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f193]) ).
cnf(s35,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f205]) ).
cnf(s44,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f214]) ).
cnf(s45,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f215]) ).
cnf(s46,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f216]) ).
cnf(s47,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f217]) ).
cnf(s51,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f479]) ).
cnf(s52,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f487]) ).
cnf(s74,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f624]) ).
cnf(s85,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f807]) ).
cnf(s87,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f848]) ).
cnf(s90,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f860]) ).
cnf(s91,plain,
( ~ spl0_6
| spl0_19 ),
inference(sat_conversion,[],[f863]) ).
cnf(s93,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f922]) ).
cnf(s95,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f934]) ).
cnf(s105,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f991]) ).
cnf(s106,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s107,plain,
spl0_3,
inference(rat,[],[s106,s91,s8,s16,s24]) ).
cnf(s108,plain,
spl0_7,
inference(rat,[],[s52,s44,s45,s46,s47,s107]) ).
cnf(s109,plain,
spl0_6,
inference(rat,[],[s51,s20,s21,s22,s23,s107]) ).
cnf(s110,plain,
spl0_19,
inference(rat,[],[s91,s109]) ).
cnf(s111,plain,
~ spl0_5,
inference(rat,[],[s87,s107,s109]) ).
cnf(s112,plain,
spl0_20,
inference(rat,[],[s95,s107,s109,s110]) ).
cnf(s113,plain,
~ spl0_4,
inference(rat,[],[s74,s110,s112]) ).
cnf(s114,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s85,s14,s15,s107]) ).
cnf(s115,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s85,s6,s7,s107]) ).
cnf(s116,plain,
( ~ spl0_9
| ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s93,s27,s35,s90,s107,s112,s110,s109,s108]) ).
cnf(s117,plain,
~ spl0_2,
inference(rat,[],[s116,s115,s114]) ).
cnf(s118,plain,
~ spl0_1,
inference(rat,[],[s105,s112,s110,s109]) ).
cnf(s119,plain,
$false,
inference(rat,[],[s2,s108,s107,s111,s109,s118,s113,s117]) ).
fof(f1007,plain,
$false,
inference(avatar_sat_refutation,[],[s119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP354-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:55:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (3748639)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3748648)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1135909370:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3748644)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1561154634_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (3748646)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1666533767:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (3748647)dis+10_1_sil=32000:sp=arity:random_seed=589249905:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3748649)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1311281340:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3748650)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2603295444:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (3748648) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3748639-3748648"...
% 0.11/0.45 % (3748648)...printing done.
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % (3748648)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (3748648)------------------------------
% 0.11/0.46 % (3748648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (3748648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (3748648)CaDiCaL version: 2.1.3
% 0.11/0.46 % (3748648)Termination reason: Refutation
% 0.11/0.46 % (3748648)Time elapsed: 0.011 s
% 0.11/0.46 % (3748648)Peak memory usage: 12 MB
% 0.11/0.46 % (3748648)Instructions burned: 30 (million)
% 0.11/0.46 % (3748639)Success in time 0.038 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------