%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP388-1 : 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 : n004.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 10:17:40 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 45
% Syntax : Number of formulae : 318 ( 29 unt; 17 def)
% Number of atoms : 1267 ( 358 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1853 ( 904 ~; 932 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 122 !; 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_c10) = sk_c9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| multiply(sk_c10,sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c4) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c8 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c10,sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c9 = multiply(sk_c10,sk_c4) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c4 = multiply(sk_c3,sk_c10) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f26]) ).
fof(f34,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c10,sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c4) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c4 = multiply(sk_c3,sk_c10) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f42]) ).
fof(f50,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c10,sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c4) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c10 = inverse(sk_c1)
| sk_c4 = multiply(sk_c3,sk_c10) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c3) ),
inference(reorient_equations,[],[f58]) ).
fof(f66,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(sk_c10) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c10
| multiply(sk_c10,X0) != sk_c9
| multiply(X1,sk_c10) != X0
| inverse(X1) != sk_c10
| multiply(sk_c10,X2) != sk_c9
| multiply(X3,sk_c10) != X2
| inverse(X3) != sk_c10
| multiply(X4,X5) != sk_c8
| inverse(X4) != X5
| multiply(X5,sk_c9) != sk_c8
| inverse(X6) != sk_c10
| multiply(X6,sk_c8) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(sk_c10,X0)
| multiply(X1,sk_c10) != X0
| sk_c10 != inverse(X1)
| sk_c9 != multiply(sk_c10,X2)
| multiply(X3,sk_c10) != X2
| sk_c10 != inverse(X3)
| sk_c8 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c8 != multiply(X5,sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) ),
inference(reorient_equations,[],[f70]) ).
fof(f73,definition,
( spl0_1
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f74,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_2
<=> ! [X4,X5] :
( sk_c8 != multiply(X4,X5)
| sk_c8 != multiply(X5,sk_c9)
| inverse(X4) != X5 ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f77,plain,
( ! [X4,X5] :
( sk_c8 != multiply(X4,X5)
| sk_c8 != multiply(X5,sk_c9)
| inverse(X4) != X5 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl0_3
<=> ! [X2,X3] :
( sk_c9 != multiply(sk_c10,X2)
| sk_c10 != inverse(X3)
| multiply(X3,sk_c10) != X2 ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f80,plain,
( ! [X2,X3] :
( sk_c9 != multiply(sk_c10,X2)
| sk_c10 != inverse(X3)
| multiply(X3,sk_c10) != X2 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_4
<=> sk_c10 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f83,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( sk_c10 != multiply(sk_c8,sk_c9)
| spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl0_5
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f87,plain,
( inverse(sk_c10) = sk_c9
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f71,f86,f82,f79,f79,f76,f73]) ).
fof(f91,definition,
( spl0_6
<=> sk_c10 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f93,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl0_7
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f97,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f69,f95,f91]) ).
fof(f100,definition,
( spl0_8
<=> sk_c10 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f102,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f67,f95,f100]) ).
fof(f105,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f107,plain,
( sk_c8 = multiply(sk_c6,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f110,definition,
( spl0_10
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f112,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f115,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f117,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f120,definition,
( spl0_12
<=> sk_c10 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f122,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f59,f95,f120]) ).
fof(f125,definition,
( spl0_13
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f127,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f57,f95,f125]) ).
fof(f130,definition,
( spl0_14
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f132,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f55,f95,f130]) ).
fof(f135,definition,
( spl0_15
<=> sk_c2 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f137,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f53,f135,f91]) ).
fof(f139,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f51,f135,f100]) ).
fof(f143,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f43,f135,f120]) ).
fof(f144,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f41,f135,f125]) ).
fof(f145,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f39,f135,f130]) ).
fof(f147,definition,
( spl0_16
<=> sk_c9 = multiply(sk_c10,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f149,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( spl0_6
| spl0_16 ),
inference(avatar_split_clause,[],[f37,f147,f91]) ).
fof(f151,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f35,f147,f100]) ).
fof(f155,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f27,f147,f120]) ).
fof(f156,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f25,f147,f125]) ).
fof(f157,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f23,f147,f130]) ).
fof(f158,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f82,f91]) ).
fof(f159,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f19,f82,f100]) ).
fof(f160,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f82,f105]) ).
fof(f161,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f82,f110]) ).
fof(f162,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f82,f115]) ).
fof(f163,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f82,f120]) ).
fof(f164,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f9,f82,f125]) ).
fof(f165,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f82,f130]) ).
fof(f166,plain,
spl0_5,
inference(avatar_split_clause,[],[f5,f86]) ).
fof(f167,plain,
( sk_c8 = multiply(sk_c6,inverse(sk_c10))
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f107,f87]) ).
fof(f168,plain,
( sk_c8 = multiply(sk_c5,inverse(sk_c5))
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f117,f112]) ).
fof(f169,plain,
( inverse(sk_c10) = multiply(sk_c10,sk_c4)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f132,f87]) ).
fof(f170,plain,
( sk_c8 = multiply(inverse(sk_c5),inverse(sk_c10))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f167,f112]) ).
fof(f172,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f3,f3]) ).
fof(f173,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f3,f102]) ).
fof(f174,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f3,f122]) ).
fof(f175,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f176,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f175,f4]) ).
fof(f179,plain,
( ! [X0] : multiply(inverse(sk_c5),multiply(inverse(sk_c10),X0)) = multiply(sk_c8,X0)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f4,f170]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,multiply(sk_c10,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f127]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(inverse(sk_c5),X0))
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f4,f168]) ).
fof(f188,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f173]) ).
fof(f189,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f188,f1]) ).
fof(f190,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f174]) ).
fof(f191,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f190,f1]) ).
fof(f192,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f189,f93]) ).
fof(f198,plain,
( multiply(sk_c3,identity) = multiply(sk_c4,sk_c7)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f182,f173]) ).
fof(f215,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f191,f127]) ).
fof(f225,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f169,f215]) ).
fof(f226,plain,
( multiply(sk_c3,sk_c10) = multiply(sk_c4,sk_c4)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f182,f215]) ).
fof(f228,plain,
( sk_c4 = multiply(sk_c4,sk_c4)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f226,f127]) ).
fof(f241,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f3,f225]) ).
fof(f247,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c5),multiply(sk_c10,X0))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f179,f225]) ).
fof(f248,plain,
( multiply(sk_c8,sk_c10) = multiply(inverse(sk_c5),identity)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f179,f3]) ).
fof(f253,plain,
( multiply(multiply(sk_c10,sk_c10),sk_c10) = multiply(inverse(sk_c5),identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f248,f192]) ).
fof(f254,plain,
( ! [X0] : multiply(multiply(sk_c10,sk_c10),X0) = multiply(inverse(sk_c5),multiply(sk_c10,X0))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f247,f192]) ).
fof(f257,plain,
( multiply(sk_c10,multiply(sk_c10,sk_c10)) = multiply(inverse(sk_c5),identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f253,f4]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = multiply(inverse(sk_c5),multiply(sk_c10,X0))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f254,f4]) ).
fof(f260,plain,
( multiply(sk_c10,identity) = multiply(inverse(sk_c5),identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f257,f241]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = X0
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f176,f225]) ).
fof(f270,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f176,f3]) ).
fof(f272,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f176,f176]) ).
fof(f279,plain,
( sk_c7 = multiply(inverse(sk_c10),identity)
| ~ spl0_8 ),
inference(superposition,[],[f176,f173]) ).
fof(f280,plain,
( sk_c4 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f176,f228]) ).
fof(f283,plain,
( inverse(sk_c5) = multiply(inverse(sk_c5),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f176,f168]) ).
fof(f296,plain,
( inverse(sk_c5) = multiply(inverse(sk_c5),multiply(sk_c10,sk_c10))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f283,f192]) ).
fof(f299,plain,
( identity = sk_c4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f280,f3]) ).
fof(f300,plain,
( sk_c7 = multiply(sk_c10,identity)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f279,f225]) ).
fof(f308,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f270,f272]) ).
fof(f314,plain,
( inverse(sk_c5) = multiply(sk_c10,multiply(sk_c10,sk_c10))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f296,f258]) ).
fof(f324,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f314,f266]) ).
fof(f349,plain,
( ! [X0] : multiply(inverse(X0),X0) = multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f172,f225]) ).
fof(f361,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f176,f172]) ).
fof(f364,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(forward_demodulation,[],[f361,f272]) ).
fof(f392,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c10,X0))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f183,f324]) ).
fof(f401,plain,
( ! [X0] : multiply(multiply(sk_c10,sk_c10),X0) = multiply(sk_c5,multiply(sk_c10,X0))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f392,f192]) ).
fof(f404,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = multiply(sk_c5,multiply(sk_c10,X0))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f401,f4]) ).
fof(f406,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c10,X0)) = X0
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f404,f266]) ).
fof(f474,plain,
( multiply(sk_c3,identity) = multiply(sk_c4,multiply(sk_c10,identity))
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f198,f300]) ).
fof(f481,plain,
( multiply(sk_c3,identity) = multiply(sk_c4,sk_c10)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f474,f308]) ).
fof(f486,plain,
( multiply(sk_c3,identity) = multiply(identity,sk_c10)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f481,f299]) ).
fof(f489,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f486,f1]) ).
fof(f491,plain,
( sk_c10 = sk_c3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f489,f308]) ).
fof(f548,plain,
( multiply(sk_c8,identity) = multiply(sk_c5,multiply(sk_c10,identity))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f183,f260]) ).
fof(f553,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f548,f406]) ).
fof(f555,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f553,f308]) ).
fof(f562,plain,
( sk_c10 != multiply(identity,sk_c9)
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f84,f555]) ).
fof(f563,plain,
( sk_c10 != sk_c9
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f562,f1]) ).
fof(f567,plain,
( sk_c10 != inverse(sk_c10)
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f563,f87]) ).
fof(f571,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f567,f225]) ).
fof(f572,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f574,plain,
( ! [X2,X3] :
( inverse(sk_c10) != multiply(sk_c10,X2)
| sk_c10 != inverse(X3)
| multiply(X3,sk_c10) != X2 )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f80,f87]) ).
fof(f575,plain,
( sk_c10 = multiply(sk_c8,inverse(sk_c10))
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f83,f87]) ).
fof(f576,plain,
( ! [X2,X3] :
( sk_c10 != multiply(sk_c10,X2)
| sk_c10 != inverse(X3)
| multiply(X3,sk_c10) != X2 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f574,f225]) ).
fof(f829,plain,
( ! [X0] :
( sk_c10 != sk_c10
| inverse(X0) != sk_c10
| identity != multiply(X0,sk_c10) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f576,f308]) ).
fof(f942,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f176,f364]) ).
fof(f1052,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f3,f272]) ).
fof(f1126,plain,
( ! [X6] :
( sk_c10 != multiply(X6,multiply(sk_c10,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f74,f192]) ).
fof(f1127,plain,
( ! [X6] :
( sk_c10 != multiply(X6,identity)
| sk_c10 != inverse(X6) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1126,f241]) ).
fof(f1128,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != X6 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1127,f308]) ).
fof(f1130,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c3
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1128,f122]) ).
fof(f1135,plain,
( sk_c10 != sk_c3
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1130]) ).
fof(f1143,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1135,f491]) ).
fof(f1144,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1145,plain,
( ! [X4,X5] :
( multiply(X4,X5) != multiply(sk_c10,sk_c10)
| sk_c8 != multiply(X5,sk_c9)
| inverse(X4) != X5 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f77,f192]) ).
fof(f1146,plain,
( ! [X4,X5] :
( identity != multiply(X4,X5)
| sk_c8 != multiply(X5,sk_c9)
| inverse(X4) != X5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1145,f241]) ).
fof(f1147,plain,
( ! [X4,X5] :
( sk_c8 != multiply(X5,inverse(sk_c10))
| identity != multiply(X4,X5)
| inverse(X4) != X5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1146,f87]) ).
fof(f1148,plain,
( ! [X4,X5] :
( sk_c8 != multiply(X5,sk_c10)
| identity != multiply(X4,X5)
| inverse(X4) != X5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1147,f225]) ).
fof(f1149,plain,
( ! [X4,X5] :
( multiply(sk_c10,sk_c10) != multiply(X5,sk_c10)
| identity != multiply(X4,X5)
| inverse(X4) != X5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1148,f192]) ).
fof(f1150,plain,
( ! [X4,X5] :
( identity != multiply(X5,sk_c10)
| identity != multiply(X4,X5)
| inverse(X4) != X5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1149,f241]) ).
fof(f1241,plain,
( ! [X2,X0,X1] :
( identity != multiply(X0,multiply(X1,sk_c10))
| identity != multiply(X2,multiply(X0,X1))
| multiply(X0,X1) != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1150,f4]) ).
fof(f1375,plain,
( ! [X0,X1] :
( identity != identity
| identity != multiply(X1,multiply(inverse(multiply(X0,sk_c10)),X0))
| inverse(X1) != multiply(inverse(multiply(X0,sk_c10)),X0) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1241,f3]) ).
fof(f1391,plain,
( ! [X0,X1] :
( identity != multiply(X1,multiply(inverse(multiply(X0,sk_c10)),X0))
| inverse(X1) != multiply(inverse(multiply(X0,sk_c10)),X0) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1375]) ).
fof(f1551,plain,
( ! [X0] :
( identity != multiply(sk_c10,sk_c10)
| multiply(inverse(multiply(X0,sk_c10)),X0) != inverse(inverse(multiply(inverse(multiply(X0,sk_c10)),X0))) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1391,f349]) ).
fof(f1569,plain,
( ! [X0] : multiply(inverse(multiply(X0,sk_c10)),X0) != inverse(inverse(multiply(inverse(multiply(X0,sk_c10)),X0)))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1551,f241]) ).
fof(f1595,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1569,f942]) ).
fof(f1596,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f1649,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| identity != multiply(X0,sk_c10) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f829]) ).
fof(f1650,plain,
( ! [X2,X3] :
( inverse(sk_c10) != multiply(sk_c10,X2)
| sk_c10 != inverse(X3)
| multiply(X3,sk_c10) != X2 )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f80,f87]) ).
fof(f2246,plain,
( sk_c10 != sk_c10
| identity != multiply(sk_c3,sk_c10)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1649,f122]) ).
fof(f2251,plain,
( identity != multiply(sk_c3,sk_c10)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f2246]) ).
fof(f2256,plain,
( identity != sk_c4
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2251,f127]) ).
fof(f2260,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f2256,f299]) ).
fof(f2261,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f2260]) ).
fof(f2265,plain,
( inverse(sk_c10) = multiply(sk_c10,sk_c2)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f149,f87]) ).
fof(f2315,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_7 ),
inference(superposition,[],[f3,f97]) ).
fof(f2319,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = multiply(sk_c1,X0)
| ~ spl0_7 ),
inference(superposition,[],[f272,f97]) ).
fof(f2334,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sk_c2,X0)
| ~ spl0_15 ),
inference(superposition,[],[f4,f137]) ).
fof(f2335,plain,
( ! [X0] : multiply(inverse(sk_c10),multiply(sk_c10,X0)) = multiply(sk_c2,X0)
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2334,f2319]) ).
fof(f2338,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2335,f176]) ).
fof(f2348,plain,
( sk_c2 = multiply(inverse(sk_c10),inverse(sk_c10))
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f176,f2265]) ).
fof(f2349,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f4,f2265]) ).
fof(f2350,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2349,f2338]) ).
fof(f2356,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl0_7 ),
inference(superposition,[],[f176,f2315]) ).
fof(f2359,plain,
( sk_c1 = multiply(sk_c10,identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2356,f2350]) ).
fof(f2363,plain,
( sk_c10 = sk_c1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2359,f308]) ).
fof(f2373,plain,
( ! [X0] :
( inverse(sk_c10) != inverse(sk_c10)
| inverse(X0) != sk_c10
| sk_c2 != multiply(X0,sk_c10) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f1650,f2265]) ).
fof(f2376,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sk_c2 != multiply(X0,sk_c10) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f2373]) ).
fof(f2382,definition,
( spl0_21
<=> sk_c10 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f2383,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f2382]) ).
fof(f2384,plain,
( sk_c10 != inverse(sk_c10)
| spl0_21 ),
inference(avatar_component_clause,[],[f2382]) ).
fof(f2387,plain,
( ! [X0] :
( multiply(inverse(sk_c10),inverse(sk_c10)) != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2376,f2348]) ).
fof(f2394,plain,
( ! [X0] :
( multiply(sk_c10,inverse(sk_c10)) != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2387,f2350]) ).
fof(f2408,plain,
( ! [X0] :
( identity != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2394,f1052]) ).
fof(f2415,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f97,f2363]) ).
fof(f2416,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f2415,f2384]) ).
fof(f2417,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f2416]) ).
fof(f2424,plain,
( identity = sk_c2
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f308,f2338]) ).
fof(f2471,plain,
( ! [X0] :
( identity != multiply(inverse(X0),X0)
| sk_c10 != inverse(inverse(sk_c10)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f2408,f172]) ).
fof(f2486,plain,
( ! [X0] : identity != multiply(inverse(X0),X0)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2471,f942]) ).
fof(f2493,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2486,f3]) ).
fof(f2494,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2493]) ).
fof(f2495,plain,
( ! [X4,X5] :
( sk_c8 != multiply(X5,inverse(sk_c10))
| sk_c8 != multiply(X4,X5)
| inverse(X4) != X5 )
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f77,f87]) ).
fof(f2514,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f575,f2383]) ).
fof(f2520,plain,
( ! [X4,X5] :
( sk_c8 != multiply(X5,sk_c10)
| sk_c8 != multiply(X4,X5)
| inverse(X4) != X5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2495,f2383]) ).
fof(f2533,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_21 ),
inference(superposition,[],[f4,f2514]) ).
fof(f2558,plain,
( ! [X0] :
( sk_c8 != sk_c2
| sk_c8 != multiply(X0,sk_c1)
| inverse(X0) != sk_c1 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f2520,f137]) ).
fof(f2559,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(sk_c10),inverse(sk_c10))
| sk_c8 != multiply(X0,sk_c1)
| inverse(X0) != sk_c1 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2558,f2348]) ).
fof(f2564,plain,
( ! [X0] :
( sk_c8 != multiply(sk_c10,inverse(sk_c10))
| sk_c8 != multiply(X0,sk_c1)
| inverse(X0) != sk_c1 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2559,f2350]) ).
fof(f2567,plain,
( ! [X0] :
( identity != sk_c8
| sk_c8 != multiply(X0,sk_c1)
| inverse(X0) != sk_c1 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2564,f1052]) ).
fof(f2586,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(superposition,[],[f2533,f2315]) ).
fof(f2600,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2586,f308]) ).
fof(f2626,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c10)
| identity != sk_c8
| inverse(X0) != sk_c1 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2567,f2363]) ).
fof(f2631,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c10)
| inverse(X0) != sk_c1 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f2626,f2600]) ).
fof(f2635,plain,
( ! [X0] :
( identity != multiply(X0,sk_c10)
| inverse(X0) != sk_c1 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2631,f2600]) ).
fof(f2639,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| identity != multiply(X0,sk_c10) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2635,f2363]) ).
fof(f2651,plain,
( sk_c10 != sk_c10
| identity != multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[],[f2639,f97]) ).
fof(f2652,plain,
( identity != multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f2651]) ).
fof(f2655,plain,
( identity != sk_c2
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2652,f137]) ).
fof(f2659,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f2655,f2424]) ).
fof(f2660,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2659]) ).
fof(f2663,plain,
( ! [X6] :
( sk_c10 != multiply(X6,identity)
| sk_c10 != inverse(X6) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f74,f2600]) ).
fof(f2664,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != X6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f2663,f308]) ).
fof(f2684,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(superposition,[],[f2664,f2383]) ).
fof(f2687,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f2684]) ).
fof(f2688,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f2687]) ).
fof(f2689,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2688]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f89]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f98]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f103]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f123]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s10,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s11,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f138]) ).
cnf(s12,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f139]) ).
cnf(s16,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f143]) ).
cnf(s17,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s18,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s19,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f150]) ).
cnf(s20,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f151]) ).
cnf(s24,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f155]) ).
cnf(s25,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f156]) ).
cnf(s26,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f157]) ).
cnf(s27,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f158]) ).
cnf(s28,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f159]) ).
cnf(s29,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f160]) ).
cnf(s30,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f161]) ).
cnf(s31,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f162]) ).
cnf(s32,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f163]) ).
cnf(s33,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f164]) ).
cnf(s34,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f165]) ).
cnf(s35,plain,
spl0_5,
inference(sat_conversion,[],[f166]) ).
cnf(s37,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f572]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s50,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f1596]) ).
cnf(s53,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f2261]) ).
cnf(s58,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f2417]) ).
cnf(s63,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f2494]) ).
cnf(s67,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(sat_conversion,[],[f2660]) ).
cnf(s70,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(sat_conversion,[],[f2689]) ).
cnf(s72,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s2,s35]) ).
cnf(s73,plain,
spl0_4,
inference(rat,[],[s37,s27,s28,s29,s30,s31,s32,s33,s34,s35]) ).
cnf(s74,plain,
( spl0_7
| ~ spl0_3 ),
inference(rat,[],[s53,s8,s9,s10,s35]) ).
cnf(s75,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s63,s18,s26,s74,s35]) ).
cnf(s76,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s63,s17,s25,s74,s35]) ).
cnf(s77,plain,
~ spl0_3,
inference(rat,[],[s63,s16,s24,s53,s76,s75,s74,s35]) ).
cnf(s78,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s58,s67,s73,s35]) ).
cnf(s79,plain,
( spl0_14
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s78,s18,s26]) ).
cnf(s80,plain,
( spl0_16
| ~ spl0_13
| ~ spl0_12
| ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s50,s19,s20,s35]) ).
cnf(s81,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s50,s11,s12,s78,s80,s79,s35]) ).
cnf(s82,plain,
( spl0_13
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s78,s17,s25]) ).
cnf(s83,plain,
( ~ spl0_13
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s78,s16,s24,s81]) ).
cnf(s84,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s83,s82]) ).
cnf(s85,plain,
~ spl0_2,
inference(rat,[],[s50,s3,s4,s8,s9,s10,s84,s35]) ).
cnf(s86,plain,
spl0_1,
inference(rat,[],[s72,s73,s77,s85]) ).
cnf(s87,plain,
( spl0_16
| ~ spl0_13 ),
inference(rat,[],[s45,s19,s20,s24,s26,s35,s86]) ).
cnf(s88,plain,
( ~ spl0_13
| ~ spl0_7 ),
inference(rat,[],[s45,s11,s12,s16,s18,s58,s87,s70,s35,s86,s73]) ).
cnf(s89,plain,
~ spl0_7,
inference(rat,[],[s58,s17,s25,s88,s70,s35,s73,s86]) ).
cnf(s90,plain,
spl0_14,
inference(rat,[],[s10,s89]) ).
cnf(s91,plain,
spl0_13,
inference(rat,[],[s9,s89]) ).
cnf(s92,plain,
spl0_12,
inference(rat,[],[s8,s89]) ).
cnf(s96,plain,
spl0_8,
inference(rat,[],[s4,s89]) ).
cnf(s97,plain,
spl0_6,
inference(rat,[],[s3,s89]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s45,s92,s91,s86,s90,s35,s96,s97]) ).
fof(f2692,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP388-1 : 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 : n004.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 10:00:36 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
% 0.10/0.46 % (3267223)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (3267233)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1293125332:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (3267229)% WARNING: option uhcvi not known.
% 0.10/0.46 % (3267230)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3180454681:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (3267228)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1235914755_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (3267231)dis+10_1_sil=32000:sp=arity:random_seed=2573813511:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (3267232)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3731811462:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (3267234)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3738289072:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (3267229)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1751133829:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (3267233) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3267223-3267233"...
% 0.10/0.46 % TRYING [5]
% 0.10/0.46 % (3267233)...printing done.
% 0.10/0.46 % (3267233)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.45/0.47 % (3267233)------------------------------
% 0.45/0.47 % (3267233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.47 % (3267233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.47 % (3267233)CaDiCaL version: 2.1.3
% 0.45/0.47 % (3267233)Termination reason: Refutation
% 0.45/0.47 % (3267233)Time elapsed: 0.025 s
% 0.45/0.47 % (3267233)Peak memory usage: 13 MB
% 0.45/0.47 % (3267233)Instructions burned: 77 (million)
% 0.45/0.47 % (3267223)Success in time 0.055 s
% 0.45/0.47 % Vampire exiting
%------------------------------------------------------------------------------