%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP275-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 10:13:30 AM UTC 2026
% Result : Unsatisfiable 2.83s 1.33s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 40
% Syntax : Number of formulae : 255 ( 17 unt; 14 def)
% Number of atoms : 805 ( 249 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1036 ( 486 ~; 536 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = inverse(sk_c1)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c8 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = inverse(sk_c2)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f44]) ).
fof(f52,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f52]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,X4) != sk_c7
| inverse(X3) != X4
| multiply(X4,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c7 != multiply(X4,sk_c8) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != multiply(X3,inverse(X3))
| sk_c7 != multiply(inverse(X3),sk_c8) ),
inference(equality_resolution,[],[f65]) ).
fof(f68,definition,
( spl0_1
<=> ! [X3] :
( sk_c7 != multiply(X3,inverse(X3))
| sk_c7 != multiply(inverse(X3),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f69,plain,
( ! [X3] :
( sk_c7 != multiply(inverse(X3),sk_c8)
| sk_c7 != multiply(X3,inverse(X3)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_2
<=> ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f72,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_3
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f75,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_4
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_2
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f66,f82,f78,f71,f74,f71,f68]) ).
fof(f86,definition,
( spl0_6
<=> sk_c7 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f88,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl0_7
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f95,definition,
( spl0_8
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f97,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f100,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f102,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f105,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f107,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f110,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f112,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f114,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f53,f90,f74]) ).
fof(f116,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f118,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f122,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f45,f116,f105]) ).
fof(f123,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f43,f116,f110]) ).
fof(f124,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f41,f116,f74]) ).
fof(f125,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f39,f78,f86]) ).
fof(f126,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f37,f78,f95]) ).
fof(f127,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f35,f78,f100]) ).
fof(f128,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f33,f78,f105]) ).
fof(f129,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f78,f110]) ).
fof(f130,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f29,f78,f74]) ).
fof(f132,definition,
( spl0_13
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f132,f86]) ).
fof(f136,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f25,f132,f95]) ).
fof(f137,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f132,f100]) ).
fof(f138,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f132,f105]) ).
fof(f139,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f19,f132,f110]) ).
fof(f140,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f17,f132,f74]) ).
fof(f142,definition,
( spl0_14
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f144,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f15,f142,f86]) ).
fof(f146,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f13,f142,f95]) ).
fof(f147,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f11,f142,f100]) ).
fof(f148,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f9,f142,f105]) ).
fof(f149,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f7,f142,f110]) ).
fof(f150,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f5,f142,f74]) ).
fof(f151,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f3,f97]) ).
fof(f152,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f112]) ).
fof(f154,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f157,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_6 ),
inference(superposition,[],[f4,f88]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f107]) ).
fof(f159,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f102]) ).
fof(f161,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f154,f1]) ).
fof(f163,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f151]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f163,f1]) ).
fof(f165,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f152]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f167,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f164,f102]) ).
fof(f179,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f166,f107]) ).
fof(f185,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f158,f75]) ).
fof(f190,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c7)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f157,f179]) ).
fof(f193,plain,
( multiply(sk_c7,sk_c8) = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f190,f167]) ).
fof(f196,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c4,sk_c7)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f159,f88]) ).
fof(f203,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f196,f75]) ).
fof(f206,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f164,f203]) ).
fof(f221,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f161,f88]) ).
fof(f224,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f161,f167]) ).
fof(f226,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f161,f152]) ).
fof(f227,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_8 ),
inference(superposition,[],[f161,f151]) ).
fof(f233,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f224,f3]) ).
fof(f246,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f226,f233]) ).
fof(f247,plain,
( sk_c6 = sk_c5
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f193,f75]) ).
fof(f253,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f227,f233]) ).
fof(f254,plain,
( sk_c8 = sk_c4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f253,f221]) ).
fof(f255,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f97,f254]) ).
fof(f271,plain,
( sk_c3 = multiply(sk_c5,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f246,f255]) ).
fof(f275,plain,
( sk_c3 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f271,f167]) ).
fof(f288,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f185,f247]) ).
fof(f289,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c5,sk_c5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f288,f275]) ).
fof(f290,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f289,f179]) ).
fof(f296,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f161,f290]) ).
fof(f298,plain,
( sk_c8 = sk_c5
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f296,f221]) ).
fof(f308,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f206,f298]) ).
fof(f313,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f308,f80]) ).
fof(f314,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f326,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c3,sk_c8)
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f83,f112]) ).
fof(f330,plain,
( sk_c7 != multiply(sk_c3,sk_c8)
| ~ spl0_5
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f326]) ).
fof(f334,plain,
( sk_c7 != multiply(sk_c5,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f330,f275]) ).
fof(f337,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f334,f88]) ).
fof(f338,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f353,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f69,f112]) ).
fof(f356,plain,
( identity != sk_c7
| sk_c7 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f69,f3]) ).
fof(f358,plain,
( sk_c7 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f356,f233]) ).
fof(f365,plain,
( sk_c7 != multiply(sk_c8,sk_c5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f358,f255]) ).
fof(f372,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f365,f298]) ).
fof(f377,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f372,f179]) ).
fof(f378,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f382,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f72,f112]) ).
fof(f386,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f382]) ).
fof(f390,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f386,f107]) ).
fof(f391,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f404,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_12 ),
inference(superposition,[],[f3,f118]) ).
fof(f407,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f134]) ).
fof(f410,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_4 ),
inference(superposition,[],[f161,f79]) ).
fof(f420,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_14 ),
inference(superposition,[],[f161,f144]) ).
fof(f421,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f144]) ).
fof(f422,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f420,f134]) ).
fof(f424,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_12 ),
inference(superposition,[],[f161,f404]) ).
fof(f428,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_13 ),
inference(superposition,[],[f161,f407]) ).
fof(f432,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f161,f422]) ).
fof(f434,plain,
( identity = sk_c7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f432,f3]) ).
fof(f441,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1,f434]) ).
fof(f459,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c7)
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f421,f79]) ).
fof(f473,plain,
( sk_c8 != sk_c6
| spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f76,f441]) ).
fof(f476,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f226,f434]) ).
fof(f491,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f424,f434]) ).
fof(f492,plain,
( sk_c6 = sk_c2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f491,f410]) ).
fof(f495,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f92,f492]) ).
fof(f496,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f118,f492]) ).
fof(f499,plain,
( sk_c1 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f428,f434]) ).
fof(f500,plain,
( sk_c1 = sk_c6
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f499,f410]) ).
fof(f503,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f144,f500]) ).
fof(f507,plain,
( sk_c6 = sk_c3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f476,f410]) ).
fof(f550,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f459,f500]) ).
fof(f551,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f550,f495]) ).
fof(f552,plain,
( sk_c8 = sk_c6
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f551,f441]) ).
fof(f553,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f552,f473]) ).
fof(f554,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f555,plain,
( sk_c7 != multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f353,f179]) ).
fof(f558,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f75,f441]) ).
fof(f559,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f555,f507]) ).
fof(f563,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f559,f503]) ).
fof(f564,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f572,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f79,f558]) ).
fof(f575,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f496,f558]) ).
fof(f583,plain,
( identity != sk_c7
| sk_c7 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1 ),
inference(superposition,[],[f69,f3]) ).
fof(f584,plain,
( sk_c7 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f583,f434]) ).
fof(f629,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f584,f575]) ).
fof(f633,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f629,f572]) ).
fof(f634,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f645,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f72,f575]) ).
fof(f651,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f645]) ).
fof(f657,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f651,f422]) ).
fof(f658,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f667,plain,
( sk_c8 != sk_c8
| multiply(sk_c1,sk_c8) != sk_c7
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f83,f134]) ).
fof(f675,plain,
( multiply(sk_c1,sk_c8) != sk_c7
| ~ spl0_5
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f667]) ).
fof(f681,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f675,f144]) ).
fof(f682,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f681]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f84]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s8,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f114]) ).
cnf(s12,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f122]) ).
cnf(s13,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f123]) ).
cnf(s14,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s15,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f125]) ).
cnf(s16,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f126]) ).
cnf(s17,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f127]) ).
cnf(s18,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f128]) ).
cnf(s19,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f129]) ).
cnf(s20,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f130]) ).
cnf(s21,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s22,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s23,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s24,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s25,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s26,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s27,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s28,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s29,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s30,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s31,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s32,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f314]) ).
cnf(s35,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f338]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f378]) ).
cnf(s44,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f391]) ).
cnf(s48,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f554]) ).
cnf(s50,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f564]) ).
cnf(s55,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f634]) ).
cnf(s59,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f658]) ).
cnf(s64,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f682]) ).
cnf(s66,plain,
spl0_3,
inference(rat,[],[s48,s8,s14,s20,s26,s32]) ).
cnf(s67,plain,
( spl0_6
| ~ spl0_5 ),
inference(rat,[],[s64,s21,s27]) ).
cnf(s68,plain,
( spl0_14
| ~ spl0_5 ),
inference(rat,[],[s35,s28,s29,s31,s67]) ).
cnf(s69,plain,
~ spl0_5,
inference(rat,[],[s35,s22,s23,s25,s64,s68,s67]) ).
cnf(s70,plain,
spl0_4,
inference(rat,[],[s33,s15,s16,s17,s18,s19,s66]) ).
cnf(s71,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s44,s30,s31]) ).
cnf(s72,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s44,s12,s13]) ).
cnf(s73,plain,
( ~ spl0_12
| ~ spl0_2
| ~ spl0_14 ),
inference(rat,[],[s44,s24,s25,s59,s70,s66]) ).
cnf(s74,plain,
~ spl0_2,
inference(rat,[],[s73,s72,s71]) ).
cnf(s75,plain,
spl0_1,
inference(rat,[],[s2,s69,s66,s70,s74]) ).
cnf(s76,plain,
spl0_14,
inference(rat,[],[s43,s27,s28,s29,s30,s31,s66,s75]) ).
cnf(s77,plain,
( ~ spl0_13
| ~ spl0_11 ),
inference(rat,[],[s12,s55,s50,s75,s70,s66,s76]) ).
cnf(s78,plain,
~ spl0_11,
inference(rat,[],[s43,s21,s22,s23,s24,s77,s66,s75]) ).
cnf(s79,plain,
spl0_13,
inference(rat,[],[s25,s78]) ).
cnf(s80,plain,
spl0_12,
inference(rat,[],[s13,s78]) ).
cnf(s82,plain,
$false,
inference(rat,[],[s55,s75,s70,s66,s76,s79,s80]) ).
fof(f685,plain,
$false,
inference(avatar_sat_refutation,[],[s82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP275-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n010.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 09:45:01 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.83/1.33 % (708324)Input is clausal, will run a generic CNF schedule.
% 2.83/1.33 % (708430)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2224497587:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.83/1.33 % (708436)dis-21_1_sil=8000:lcm=predicate:random_seed=1204384229:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.83/1.33 % (708434)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2540599473:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.83/1.33 % (708431)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2551460722:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.83/1.33 % (708432)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3925171578:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.83/1.33 % (708435)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2164761421:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.83/1.33 % (708436)Refutation not found, incomplete strategy
% 2.83/1.33 % (708436)------------------------------
% 2.83/1.33 % (708436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.33 % (708436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.33 % (708436)CaDiCaL version: 2.1.3
% 2.83/1.33 % (708436)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.33 % (708436)Time elapsed: 0.002 s
% 2.83/1.33 % (708436)Peak memory usage: 88 MB
% 2.83/1.33 % (708436)Instructions burned: 2 (million)
% 2.83/1.33 % (708435)First to succeed.
% 2.83/1.33 % (708435)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-708324"
% 2.83/1.33 % (708433)lrs+10_1_sil=8000:sp=occurrence:random_seed=125383529:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.83/1.33 % (708433)Refutation not found, incomplete strategy
% 2.83/1.33 % (708433)------------------------------
% 2.83/1.33 % (708433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.33 % (708433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.33 % (708433)CaDiCaL version: 2.1.3
% 2.83/1.33 % (708433)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.33 % (708433)Time elapsed: 0.003 s
% 2.83/1.33 % (708433)Peak memory usage: 88 MB
% 2.83/1.33 % (708433)Instructions burned: 4 (million)
% 2.83/1.33 % (708434)Instruction limit reached!
% 2.83/1.33 % (708434)------------------------------
% 2.83/1.33 % (708434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.33 % (708434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.33 % (708434)CaDiCaL version: 2.1.3
% 2.83/1.33 % (708434)Termination reason: Instruction limit
% 2.83/1.33 % (708434)Termination phase: Saturation
% 2.83/1.33 % (708434)Time elapsed: 0.070 s
% 2.83/1.33 % (708434)Peak memory usage: 89 MB
% 2.83/1.33 % (708434)Instructions burned: 115 (million)
% 2.83/1.33 % (708457)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=925923131:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.83/1.33 % (708436)------------------------------
% 2.83/1.33 % (708436)------------------------------
% 2.83/1.33 % (708457)Refutation not found, incomplete strategy
% 2.83/1.33 % (708457)------------------------------
% 2.83/1.33 % (708457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.33 % (708457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.33 % (708457)CaDiCaL version: 2.1.3
% 2.83/1.33 % (708457)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.33 % (708457)Time elapsed: 0.004 s
% 2.83/1.33 % (708457)Peak memory usage: 88 MB
% 2.83/1.33 % (708457)Instructions burned: 4 (million)
% 2.83/1.33 % (708435)Refutation found. Thanks to Tanya!
% 2.83/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.83/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.53 % (708435)------------------------------
% 3.81/1.53 % (708435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.53 % (708435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.53 % (708435)CaDiCaL version: 2.1.3
% 3.81/1.53 % (708435)Termination reason: Refutation
% 3.81/1.53 % (708435)Time elapsed: 0.017 s
% 3.81/1.53 % (708435)Peak memory usage: 89 MB
% 3.81/1.53 % (708435)Instructions burned: 24 (million)
% 3.81/1.53 % (708435)------------------------------
% 3.81/1.53 % (708435)------------------------------
% 3.81/1.53 % (708324)Success in time 0.45 s
% 3.81/1.53 % Vampire exiting
%------------------------------------------------------------------------------