%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP374-1 : 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 : n011.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 10:17:38 AM UTC 2026
% Result : Unsatisfiable 0.34s 0.47s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 45
% Syntax : Number of formulae : 331 ( 22 unt; 15 def)
% Number of atoms : 1389 ( 363 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2077 (1019 ~;1043 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 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 : 92 ( 0 sgn 92 !; 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,
( inverse(sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c8) = sk_c7
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f14]) ).
fof(f26,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f38,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c6 = inverse(sk_c2)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c6 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c6 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f74]) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(sk_c8) != sk_c7
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| multiply(sk_c8,X3) != sk_c7
| multiply(X4,sk_c8) != X3
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4] :
( inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,X3)
| multiply(X4,sk_c8) != X3
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f76]) ).
fof(f79,definition,
( spl0_1
<=> ! [X4,X3] :
( sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f80,plain,
( ! [X3,X4] :
( sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f83,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_3
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f86,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f90,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,definition,
( spl0_5
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f93,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_5 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl0_6
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f97,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( inverse(sk_c8) != sk_c7
| spl0_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f77,f96,f82,f92,f89,f85,f82,f79]) ).
fof(f101,definition,
( spl0_7
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f103,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f105,definition,
( spl0_8
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f107,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f75,f105,f101]) ).
fof(f110,definition,
( spl0_9
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f112,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f73,f105,f110]) ).
fof(f115,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f117,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f71,f105,f115]) ).
fof(f120,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f122,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f69,f105,f120]) ).
fof(f125,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f127,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f67,f105,f125]) ).
fof(f129,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f65,f105,f85]) ).
fof(f131,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f132,plain,
( sk_c7 != multiply(sk_c2,sk_c6)
| spl0_13 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f63,f131,f101]) ).
fof(f135,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f61,f131,f110]) ).
fof(f136,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f59,f131,f115]) ).
fof(f137,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f57,f131,f120]) ).
fof(f138,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f55,f131,f125]) ).
fof(f139,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f53,f131,f85]) ).
fof(f140,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f51,f92,f101]) ).
fof(f141,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f49,f92,f110]) ).
fof(f142,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f47,f92,f115]) ).
fof(f143,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f45,f92,f120]) ).
fof(f144,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f43,f92,f125]) ).
fof(f145,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f41,f92,f85]) ).
fof(f147,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f149,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f39,f147,f101]) ).
fof(f157,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f159,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f27,f157,f101]) ).
fof(f166,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f96,f101]) ).
fof(f167,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f96,f110]) ).
fof(f168,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f11,f96,f115]) ).
fof(f169,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f96,f120]) ).
fof(f170,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f7,f96,f125]) ).
fof(f171,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f5,f96,f85]) ).
fof(f172,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c8,sk_c7))
| ~ spl0_3
| spl0_5 ),
inference(forward_demodulation,[],[f94,f86]) ).
fof(f174,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_7 ),
inference(superposition,[],[f3,f103]) ).
fof(f176,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f177,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f176,f4]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f127]) ).
fof(f187,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f174]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f191,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f188,f112]) ).
fof(f198,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f117,f191]) ).
fof(f205,plain,
( multiply(sk_c3,identity) = multiply(sk_c7,sk_c4)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f182,f174]) ).
fof(f208,plain,
( multiply(sk_c8,sk_c4) = multiply(sk_c3,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f205,f198]) ).
fof(f215,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f208,f174]) ).
fof(f243,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f177,f3]) ).
fof(f244,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f177,f177]) ).
fof(f248,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f177,f191]) ).
fof(f250,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_7 ),
inference(superposition,[],[f177,f174]) ).
fof(f252,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c3),multiply(sk_c7,X0))
| ~ spl0_12 ),
inference(superposition,[],[f177,f182]) ).
fof(f253,plain,
( identity = multiply(inverse(sk_c3),identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f177,f215]) ).
fof(f260,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f253,f122]) ).
fof(f261,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c3),multiply(sk_c8,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f252,f198]) ).
fof(f264,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f248,f3]) ).
fof(f267,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f243,f244]) ).
fof(f268,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f261,f122]) ).
fof(f276,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f117,f264]) ).
fof(f277,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f276,f260]) ).
fof(f310,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f198,f277]) ).
fof(f311,plain,
( identity != multiply(sk_c8,multiply(sk_c8,identity))
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f172,f277]) ).
fof(f312,plain,
( identity != multiply(sk_c8,identity)
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f311,f268]) ).
fof(f313,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f312,f260]) ).
fof(f314,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f316,plain,
( sk_c8 != inverse(sk_c8)
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f98,f198]) ).
fof(f318,plain,
( identity != inverse(identity)
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f316,f310]) ).
fof(f321,plain,
( sk_c5 = multiply(sk_c4,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f112,f310]) ).
fof(f324,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f174,f310]) ).
fof(f337,plain,
( identity = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f324,f1]) ).
fof(f340,plain,
( sk_c5 = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f321,f267]) ).
fof(f346,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f340,f250]) ).
fof(f350,plain,
( inverse(sk_c8) = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f346,f267]) ).
fof(f353,plain,
( identity = inverse(sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f350,f264]) ).
fof(f356,plain,
( identity = inverse(identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f353,f310]) ).
fof(f358,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f356,f318]) ).
fof(f359,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f362,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f97,f198]) ).
fof(f366,plain,
( sk_c7 = multiply(identity,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f93,f310]) ).
fof(f371,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f366,f1]) ).
fof(f374,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f371,f198]) ).
fof(f376,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f374,f310]) ).
fof(f388,plain,
( inverse(sk_c8) = multiply(sk_c2,sk_c6)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f133,f97]) ).
fof(f389,plain,
( inverse(sk_c8) = multiply(sk_c1,sk_c8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f159,f97]) ).
fof(f390,plain,
( inverse(sk_c8) = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f93,f97]) ).
fof(f428,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f107]) ).
fof(f433,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_8 ),
inference(superposition,[],[f177,f428]) ).
fof(f436,plain,
( sk_c2 = inverse(sk_c6)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f433,f267]) ).
fof(f442,plain,
( inverse(sk_c8) = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f388,f436]) ).
fof(f445,plain,
( identity = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f442,f3]) ).
fof(f455,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f3,f445]) ).
fof(f456,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f455,f1]) ).
fof(f466,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f445,f456]) ).
fof(f489,plain,
( inverse(identity) = multiply(sk_c1,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f389,f456]) ).
fof(f494,plain,
( sk_c1 = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f489,f267]) ).
fof(f497,plain,
( identity = sk_c1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f494,f466]) ).
fof(f500,plain,
( inverse(identity) = multiply(identity,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f390,f456]) ).
fof(f507,plain,
( sk_c6 = inverse(identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f500,f1]) ).
fof(f511,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f507,f466]) ).
fof(f567,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f428,f511]) ).
fof(f568,plain,
( identity != multiply(sk_c8,sk_c7)
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f87,f511]) ).
fof(f569,plain,
( identity != multiply(sk_c8,inverse(sk_c8))
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f568,f97]) ).
fof(f570,plain,
( identity = sk_c2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f567,f1]) ).
fof(f573,plain,
( identity != multiply(sk_c8,identity)
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f569,f445]) ).
fof(f576,plain,
( identity != sk_c8
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f573,f267]) ).
fof(f577,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f576,f456]) ).
fof(f578,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f579,plain,
( ! [X3,X4] :
( sk_c7 != multiply(identity,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f80,f456]) ).
fof(f581,plain,
( ! [X3,X4] :
( sk_c7 != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f579,f1]) ).
fof(f583,plain,
( ! [X3,X4] :
( inverse(sk_c8) != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f581,f97]) ).
fof(f585,plain,
( ! [X3,X4] :
( identity != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f583,f445]) ).
fof(f587,plain,
( ! [X3,X4] :
( identity != inverse(X4)
| identity != X3
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f585,f456]) ).
fof(f588,plain,
( ! [X3,X4] :
( multiply(X4,identity) != X3
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f587,f456]) ).
fof(f589,plain,
( ! [X3,X4] :
( X3 != X4
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f588,f267]) ).
fof(f590,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(equality_resolution,[],[f589]) ).
fof(f621,plain,
( identity != identity
| identity != sk_c8
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f590,f445]) ).
fof(f622,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f590,f149]) ).
fof(f624,plain,
( identity != sk_c8
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f621]) ).
fof(f626,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f622,f456]) ).
fof(f627,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f624,f456]) ).
fof(f628,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f631,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f626,f497]) ).
fof(f632,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f633,plain,
( ! [X2] :
( sk_c7 != multiply(X2,identity)
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f83,f456]) ).
fof(f634,plain,
( ! [X2] :
( sk_c7 != X2
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f633,f267]) ).
fof(f635,plain,
( ! [X2] :
( inverse(sk_c8) != X2
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f634,f97]) ).
fof(f636,plain,
( ! [X2] :
( identity != X2
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f635,f445]) ).
fof(f637,plain,
( ! [X2] :
( identity != inverse(X2)
| identity != X2 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f636,f456]) ).
fof(f648,plain,
( identity != identity
| identity != sk_c8
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f637,f445]) ).
fof(f649,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f637,f149]) ).
fof(f651,plain,
( identity != sk_c8
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f648]) ).
fof(f656,plain,
( identity != sk_c1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f649,f456]) ).
fof(f657,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f651,f456]) ).
fof(f658,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f661,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f656,f497]) ).
fof(f662,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f663,plain,
( ! [X1] :
( sk_c7 != multiply(X1,identity)
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f90,f511]) ).
fof(f664,plain,
( ! [X1] :
( sk_c7 != X1
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f663,f267]) ).
fof(f665,plain,
( ! [X1] :
( inverse(sk_c8) != X1
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f664,f97]) ).
fof(f666,plain,
( ! [X1] :
( identity != X1
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f665,f445]) ).
fof(f667,plain,
( ! [X1] :
( identity != inverse(X1)
| identity != X1 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f666,f511]) ).
fof(f684,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f667,f149]) ).
fof(f685,plain,
( identity != sk_c6
| identity != sk_c2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f667,f107]) ).
fof(f690,plain,
( identity != sk_c2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f685,f511]) ).
fof(f691,plain,
( identity != sk_c1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f684,f456]) ).
fof(f694,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f690,f570]) ).
fof(f695,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f696,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f691,f497]) ).
fof(f697,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f711,plain,
( sk_c7 != multiply(sk_c2,identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f132,f376]) ).
fof(f718,plain,
( ! [X1] :
( sk_c7 != multiply(X1,identity)
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f90,f376]) ).
fof(f730,plain,
( sk_c7 != sk_c2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f711,f267]) ).
fof(f737,plain,
( ! [X1] :
( sk_c7 != X1
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f718,f267]) ).
fof(f745,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f730,f436]) ).
fof(f751,plain,
( ! [X1] :
( inverse(sk_c8) != X1
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f737,f97]) ).
fof(f754,plain,
( sk_c7 != inverse(identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f745,f376]) ).
fof(f758,plain,
( ! [X1] :
( sk_c8 != X1
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f751,f362]) ).
fof(f761,plain,
( identity != sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13 ),
inference(forward_demodulation,[],[f754,f356]) ).
fof(f762,plain,
( ! [X1] :
( identity != X1
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f758,f310]) ).
fof(f764,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f761,f277]) ).
fof(f765,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f766,plain,
( ! [X1] :
( identity != inverse(X1)
| identity != X1 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f762,f376]) ).
fof(f839,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f766,f103]) ).
fof(f843,plain,
( identity != sk_c4
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f839,f310]) ).
fof(f848,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f843,f337]) ).
fof(f849,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f850,plain,
( ! [X3,X4] :
( sk_c7 != multiply(identity,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f80,f310]) ).
fof(f851,plain,
( ! [X3,X4] :
( sk_c7 != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f850,f1]) ).
fof(f852,plain,
( ! [X3,X4] :
( inverse(sk_c8) != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f851,f97]) ).
fof(f853,plain,
( ! [X3,X4] :
( sk_c8 != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f852,f362]) ).
fof(f854,plain,
( ! [X3,X4] :
( identity != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f853,f310]) ).
fof(f855,plain,
( ! [X3,X4] :
( identity != inverse(X4)
| identity != X3
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f854,f310]) ).
fof(f856,plain,
( ! [X3,X4] :
( multiply(X4,identity) != X3
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f855,f310]) ).
fof(f857,plain,
( ! [X3,X4] :
( X3 != X4
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f856,f267]) ).
fof(f858,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(equality_resolution,[],[f857]) ).
fof(f863,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f858,f103]) ).
fof(f867,plain,
( identity != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f863,f310]) ).
fof(f872,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f867,f337]) ).
fof(f873,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f872]) ).
fof(f874,plain,
( ! [X2] :
( sk_c7 != multiply(X2,identity)
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f83,f310]) ).
fof(f875,plain,
( ! [X2] :
( sk_c7 != X2
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f874,f267]) ).
fof(f876,plain,
( ! [X2] :
( inverse(sk_c8) != X2
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f875,f97]) ).
fof(f877,plain,
( ! [X2] :
( sk_c8 != X2
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f876,f362]) ).
fof(f878,plain,
( ! [X2] :
( identity != X2
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f877,f310]) ).
fof(f879,plain,
( ! [X2] :
( identity != inverse(X2)
| identity != X2 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f878,f310]) ).
fof(f891,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f879,f103]) ).
fof(f898,plain,
( identity != sk_c4
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f891,f310]) ).
fof(f903,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f898,f337]) ).
fof(f904,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f903]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f99]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f108]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f113]) ).
cnf(s5,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f118]) ).
cnf(s6,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f123]) ).
cnf(s7,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s8,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f129]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f134]) ).
cnf(s10,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s11,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s12,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s13,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s14,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s15,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f140]) ).
cnf(s16,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f141]) ).
cnf(s17,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f142]) ).
cnf(s18,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f143]) ).
cnf(s19,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f144]) ).
cnf(s20,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f145]) ).
cnf(s21,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s27,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s33,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f166]) ).
cnf(s34,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f167]) ).
cnf(s35,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f168]) ).
cnf(s36,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f169]) ).
cnf(s37,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f170]) ).
cnf(s38,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f171]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f314]) ).
cnf(s40,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f359]) ).
cnf(s45,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f578]) ).
cnf(s46,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f628]) ).
cnf(s48,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f632]) ).
cnf(s50,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f658]) ).
cnf(s52,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f662]) ).
cnf(s55,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f695]) ).
cnf(s56,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f697]) ).
cnf(s57,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f765]) ).
cnf(s60,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f849]) ).
cnf(s63,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f873]) ).
cnf(s67,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f904]) ).
cnf(s68,plain,
spl0_3,
inference(rat,[],[s45,s8,s14,s20,s38]) ).
cnf(s69,plain,
spl0_6,
inference(rat,[],[s40,s33,s34,s35,s36,s37]) ).
cnf(s70,plain,
spl0_5,
inference(rat,[],[s39,s15,s16,s17,s18,s19,s68]) ).
cnf(s71,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s57,s10,s11,s12,s13,s55,s70,s69]) ).
cnf(s72,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s60,s4,s5,s6,s7,s71,s69,s70]) ).
cnf(s73,plain,
~ spl0_4,
inference(rat,[],[s56,s3,s9,s21,s27,s72,s69,s70]) ).
cnf(s74,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s57,s10,s11,s12,s13,s50,s70,s69]) ).
cnf(s75,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s67,s4,s5,s6,s7,s74,s69]) ).
cnf(s76,plain,
~ spl0_2,
inference(rat,[],[s52,s3,s9,s21,s27,s75,s69]) ).
cnf(s77,plain,
spl0_1,
inference(rat,[],[s2,s68,s70,s69,s73,s76]) ).
cnf(s78,plain,
( ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s57,s10,s11,s12,s13,s46,s70,s69,s77]) ).
cnf(s79,plain,
~ spl0_7,
inference(rat,[],[s63,s4,s5,s6,s7,s78,s69,s77]) ).
cnf(s80,plain,
spl0_15,
inference(rat,[],[s27,s79]) ).
cnf(s81,plain,
spl0_14,
inference(rat,[],[s21,s79]) ).
cnf(s82,plain,
spl0_13,
inference(rat,[],[s9,s79]) ).
cnf(s83,plain,
spl0_8,
inference(rat,[],[s3,s79]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s48,s83,s77,s69,s82,s80,s81]) ).
fof(f905,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP374-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:59:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.34/0.47 % (2163130)Will run a generic schedule for satisfiability detection.
% 0.34/0.47 % (2163135)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=413954586_2999 on theBenchmark for (2999ds/0Mi)
% 0.34/0.47 % TRYING [1]
% 0.34/0.47 % TRYING [2]
% 0.34/0.47 % TRYING [3]
% 0.34/0.47 % TRYING [4]
% 0.34/0.47 % (2163136)% WARNING: option uhcvi not known.
% 0.34/0.47 % (2163137)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3263662614:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.34/0.47 % (2163138)dis+10_1_sil=32000:sp=arity:random_seed=270599639:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.47 % (2163139)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2947581262:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.34/0.47 % (2163140)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3220355266:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.47 % (2163141)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2783426205:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.34/0.47 % TRYING [5]
% 0.34/0.47 % (2163136)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3624406264:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.47 % (2163140) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2163130-2163140"...
% 0.34/0.47 % TRYING [6]
% 0.34/0.47 % (2163139) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2163130-2163139"...
% 0.34/0.47 % (2163140)...printing done.
% 0.34/0.47 % (2163138) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2163130-2163138"...
% 0.34/0.47 % (2163140)Refutation found. Thanks to Tanya!
% 0.34/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.34/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.47 % (2163140)------------------------------
% 0.34/0.47 % (2163140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.47 % (2163140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.47 % (2163140)CaDiCaL version: 2.1.3
% 0.34/0.47 % (2163140)Termination reason: Refutation
% 0.34/0.47 % (2163140)Time elapsed: 0.017 s
% 0.34/0.47 % (2163140)Peak memory usage: 12 MB
% 0.34/0.47 % (2163140)Instructions burned: 26 (million)
% 0.34/0.47 % (2163130)Success in time 0.059 s
% 0.34/0.47 % Vampire exiting
%------------------------------------------------------------------------------