%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n014.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 10:13:49 AM UTC 2026
% Result : Unsatisfiable 2.94s 1.26s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 47
% Syntax : Number of formulae : 270 ( 23 unt; 18 def)
% Number of atoms : 798 ( 281 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 972 ( 444 ~; 510 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 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,
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(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(f28,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c8 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f32]) ).
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(f44,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c6,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c8 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f48]) ).
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(f60,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c10 = inverse(sk_c1)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c10 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c10 = inverse(sk_c1)
| sk_c8 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f64]) ).
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(f72,plain,
! [X2,X3,X1,X6,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| 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(equality_resolution,[],[f71]) ).
fof(f73,plain,
! [X3,X1,X6,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c10 != inverse(X1)
| sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| 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(equality_resolution,[],[f72]) ).
fof(f74,plain,
! [X3,X1,X6,X4] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c10 != inverse(X1)
| sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c10 != inverse(X3)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) ),
inference(equality_resolution,[],[f73]) ).
fof(f76,definition,
( spl0_1
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f77,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl0_2
<=> ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f80,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_3
<=> ! [X3] :
( sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f83,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,multiply(X3,sk_c10)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_4
<=> sk_c10 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f86,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( sk_c10 != multiply(sk_c8,sk_c9)
| spl0_4 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl0_5
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f90,plain,
( inverse(sk_c10) = sk_c9
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f74,f89,f85,f82,f82,f79,f76]) ).
fof(f98,definition,
( spl0_7
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f100,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f108,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f110,plain,
( sk_c8 = multiply(sk_c6,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f65,f98,f108]) ).
fof(f113,definition,
( spl0_10
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f115,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f63,f98,f113]) ).
fof(f118,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f120,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f61,f98,f118]) ).
fof(f123,definition,
( spl0_12
<=> sk_c10 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f125,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f59,f98,f123]) ).
fof(f128,definition,
( spl0_13
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f130,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f57,f98,f128]) ).
fof(f133,definition,
( spl0_14
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f135,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f55,f98,f133]) ).
fof(f138,definition,
( spl0_15
<=> sk_c2 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f140,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f143,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f49,f138,f108]) ).
fof(f144,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f47,f138,f113]) ).
fof(f145,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f45,f138,f118]) ).
fof(f146,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f43,f138,f123]) ).
fof(f147,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f41,f138,f128]) ).
fof(f148,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f39,f138,f133]) ).
fof(f150,definition,
( spl0_16
<=> sk_c9 = multiply(sk_c10,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f152,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f155,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f33,f150,f108]) ).
fof(f156,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f31,f150,f113]) ).
fof(f157,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f29,f150,f118]) ).
fof(f158,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f27,f150,f123]) ).
fof(f159,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f25,f150,f128]) ).
fof(f160,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f23,f150,f133]) ).
fof(f163,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f85,f108]) ).
fof(f164,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f85,f113]) ).
fof(f165,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f85,f118]) ).
fof(f166,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f85,f123]) ).
fof(f167,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f9,f85,f128]) ).
fof(f168,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f85,f133]) ).
fof(f169,plain,
spl0_5,
inference(avatar_split_clause,[],[f5,f89]) ).
fof(f170,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_5 ),
inference(superposition,[],[f3,f90]) ).
fof(f171,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f3,f125]) ).
fof(f172,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f3,f115]) ).
fof(f176,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f180,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
| ~ spl0_11 ),
inference(superposition,[],[f4,f120]) ).
fof(f184,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f176,f1]) ).
fof(f187,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f171]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f210,plain,
( multiply(sk_c8,sk_c9) = multiply(sk_c5,sk_c8)
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f180,f110]) ).
fof(f247,plain,
( sk_c10 = multiply(inverse(sk_c9),identity)
| ~ spl0_5 ),
inference(superposition,[],[f184,f170]) ).
fof(f249,plain,
( sk_c10 = multiply(inverse(sk_c3),sk_c4)
| ~ spl0_13 ),
inference(superposition,[],[f184,f130]) ).
fof(f251,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c8)
| ~ spl0_11 ),
inference(superposition,[],[f184,f120]) ).
fof(f253,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f184,f110]) ).
fof(f254,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl0_10 ),
inference(superposition,[],[f184,f172]) ).
fof(f263,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f251,f115]) ).
fof(f265,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f249,f125]) ).
fof(f278,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f184,f263]) ).
fof(f280,plain,
( identity = sk_c8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f278,f3]) ).
fof(f284,plain,
( sk_c10 = sk_c9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f265,f135]) ).
fof(f303,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f247,f280]) ).
fof(f304,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f303,f284]) ).
fof(f305,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f304,f90]) ).
fof(f306,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f305,f284]) ).
fof(f319,plain,
( sk_c10 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f253,f284]) ).
fof(f320,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f254,f280]) ).
fof(f325,plain,
( sk_c10 = sk_c5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f320,f319]) ).
fof(f386,plain,
( multiply(sk_c8,sk_c9) = multiply(sk_c10,sk_c8)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f210,f325]) ).
fof(f387,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f386,f306]) ).
fof(f388,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f387,f87]) ).
fof(f389,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f390,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(sk_c10,multiply(X3,sk_c10)) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f83,f284]) ).
fof(f399,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f390,f125]) ).
fof(f403,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f399]) ).
fof(f406,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f403,f188]) ).
fof(f407,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f418,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c10,sk_c8)
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f77,f90]) ).
fof(f427,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f418,f284]) ).
fof(f429,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f427,f306]) ).
fof(f430,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f463,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_7 ),
inference(superposition,[],[f3,f100]) ).
fof(f467,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f86]) ).
fof(f469,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_15 ),
inference(superposition,[],[f184,f140]) ).
fof(f471,plain,
( sk_c10 = multiply(sk_c10,sk_c2)
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f469,f100]) ).
fof(f473,plain,
( sk_c2 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_16 ),
inference(superposition,[],[f184,f152]) ).
fof(f474,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f152]) ).
fof(f475,plain,
( sk_c2 = multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f473,f90]) ).
fof(f480,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c10,multiply(sk_c1,sk_c10))
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f83,f100]) ).
fof(f481,plain,
( sk_c9 != multiply(sk_c10,multiply(sk_c1,sk_c10))
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f480]) ).
fof(f484,plain,
( sk_c9 != multiply(sk_c10,sk_c2)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f481,f140]) ).
fof(f497,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f484,f152]) ).
fof(f498,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f501,definition,
( spl0_19
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f502,plain,
( sk_c10 = sk_c9
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f516,plain,
( sk_c8 != multiply(sk_c6,sk_c9)
| sk_c8 != multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f80,f115]) ).
fof(f519,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c9,inverse(sk_c9))
| ~ spl0_2 ),
inference(superposition,[],[f80,f3]) ).
fof(f523,plain,
( sk_c8 != multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f516,f110]) ).
fof(f535,definition,
( spl0_23
<=> sk_c8 = sk_c2 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f548,definition,
( spl0_25
<=> sk_c8 = multiply(sk_c9,inverse(sk_c9)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f549,plain,
( sk_c8 = multiply(sk_c9,inverse(sk_c9))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f550,plain,
( sk_c8 != multiply(sk_c9,inverse(sk_c9))
| spl0_25 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f552,definition,
( spl0_26
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f553,plain,
( identity = sk_c8
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f555,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f519,f79,f552,f548]) ).
fof(f556,plain,
( ~ spl0_11
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f523,f113,f108,f79,f118]) ).
fof(f563,plain,
( sk_c10 = sk_c9
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f152,f471]) ).
fof(f565,plain,
( sk_c2 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f184,f471]) ).
fof(f567,plain,
( identity = sk_c2
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f565,f3]) ).
fof(f568,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f563,f150,f138,f98,f501]) ).
fof(f578,plain,
( sk_c8 != multiply(sk_c10,inverse(sk_c10))
| ~ spl0_19
| spl0_25 ),
inference(superposition,[],[f550,f502]) ).
fof(f579,plain,
( sk_c8 != multiply(sk_c10,sk_c9)
| ~ spl0_5
| ~ spl0_19
| spl0_25 ),
inference(forward_demodulation,[],[f578,f90]) ).
fof(f608,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f467,f502]) ).
fof(f609,plain,
( sk_c2 = multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f475,f502]) ).
fof(f637,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f474,f502]) ).
fof(f649,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f608,f463]) ).
fof(f654,plain,
( sk_c2 = multiply(sk_c8,sk_c2)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f649,f567]) ).
fof(f663,plain,
( ! [X0] : multiply(inverse(sk_c10),multiply(sk_c10,X0)) = multiply(sk_c2,X0)
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f184,f637]) ).
fof(f666,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f663,f184]) ).
fof(f701,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c2)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f184,f654]) ).
fof(f759,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f418,f502]) ).
fof(f769,plain,
( sk_c8 != multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_19
| spl0_25 ),
inference(forward_demodulation,[],[f579,f502]) ).
fof(f770,plain,
( sk_c8 != sk_c2
| ~ spl0_5
| ~ spl0_16
| ~ spl0_19
| spl0_25 ),
inference(forward_demodulation,[],[f769,f609]) ).
fof(f771,plain,
( ~ spl0_23
| ~ spl0_5
| ~ spl0_16
| ~ spl0_19
| spl0_25 ),
inference(avatar_split_clause,[],[f770,f548,f501,f150,f89,f535]) ).
fof(f772,plain,
( sk_c8 = multiply(sk_c10,inverse(sk_c10))
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f549,f502]) ).
fof(f773,plain,
( sk_c8 = multiply(sk_c10,sk_c9)
| ~ spl0_5
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f772,f90]) ).
fof(f774,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f773,f502]) ).
fof(f846,plain,
( sk_c8 = sk_c2
| ~ spl0_7
| ~ spl0_15
| ~ spl0_26 ),
inference(superposition,[],[f553,f567]) ).
fof(f892,plain,
( spl0_23
| ~ spl0_7
| ~ spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f846,f552,f138,f98,f535]) ).
fof(f903,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c8)
| ~ spl0_5
| ~ spl0_19
| ~ spl0_25 ),
inference(superposition,[],[f184,f774]) ).
fof(f905,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_5
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f903,f90]) ).
fof(f912,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_5
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f905,f502]) ).
fof(f916,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f912,f759]) ).
fof(f917,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_19
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f916]) ).
fof(f933,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),multiply(sk_c2,X0))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f4,f701]) ).
fof(f934,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = X0
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f933,f666]) ).
fof(f983,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f3,f934]) ).
fof(f987,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f983,f501,f150,f138,f98,f85,f552]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f92]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f111]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f116]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f121]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f126]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f131]) ).
cnf(s10,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s13,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f143]) ).
cnf(s14,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s15,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s16,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s17,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s18,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s21,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f155]) ).
cnf(s22,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f156]) ).
cnf(s23,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f157]) ).
cnf(s24,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f158]) ).
cnf(s25,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f159]) ).
cnf(s26,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f160]) ).
cnf(s29,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f163]) ).
cnf(s30,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f164]) ).
cnf(s31,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f165]) ).
cnf(s32,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f166]) ).
cnf(s33,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f167]) ).
cnf(s34,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f168]) ).
cnf(s35,plain,
spl0_5,
inference(sat_conversion,[],[f169]) ).
cnf(s36,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f389]) ).
cnf(s37,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f407]) ).
cnf(s42,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f430]) ).
cnf(s50,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f498]) ).
cnf(s58,plain,
( ~ spl0_2
| ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f555]) ).
cnf(s59,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f556]) ).
cnf(s60,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f568]) ).
cnf(s70,plain,
( ~ spl0_5
| ~ spl0_16
| ~ spl0_19
| ~ spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f771]) ).
cnf(s88,plain,
( ~ spl0_7
| ~ spl0_15
| spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f892]) ).
cnf(s100,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f917]) ).
cnf(s102,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19
| spl0_26 ),
inference(sat_conversion,[],[f987]) ).
cnf(s104,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s2,s35]) ).
cnf(s105,plain,
spl0_4,
inference(rat,[],[s36,s29,s30,s31,s32,s33,s34,s35]) ).
cnf(s106,plain,
( spl0_7
| ~ spl0_3 ),
inference(rat,[],[s37,s8,s9,s10]) ).
cnf(s107,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s50,s18,s26,s106]) ).
cnf(s108,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s50,s17,s25,s106]) ).
cnf(s109,plain,
~ spl0_3,
inference(rat,[],[s50,s16,s24,s37,s108,s107,s106]) ).
cnf(s111,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s70,s88,s58,s102,s60,s35,s105]) ).
cnf(s112,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s59,s21,s22,s23]) ).
cnf(s113,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s59,s13,s14,s15]) ).
cnf(s114,plain,
( ~ spl0_15
| ~ spl0_2
| ~ spl0_16 ),
inference(rat,[],[s59,s5,s6,s7,s111]) ).
cnf(s115,plain,
~ spl0_2,
inference(rat,[],[s114,s113,s112]) ).
cnf(s116,plain,
spl0_1,
inference(rat,[],[s104,s105,s109,s115]) ).
cnf(s117,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_7 ),
inference(rat,[],[s88,s70,s102,s100,s60,s116,s105,s35]) ).
cnf(s118,plain,
spl0_16,
inference(rat,[],[s42,s22,s23,s24,s25,s26,s35,s116]) ).
cnf(s119,plain,
spl0_15,
inference(rat,[],[s42,s14,s15,s16,s17,s18,s35,s116]) ).
cnf(s120,plain,
~ spl0_7,
inference(rat,[],[s117,s118,s119]) ).
cnf(s121,plain,
spl0_14,
inference(rat,[],[s10,s120]) ).
cnf(s122,plain,
spl0_13,
inference(rat,[],[s9,s120]) ).
cnf(s123,plain,
spl0_12,
inference(rat,[],[s8,s120]) ).
cnf(s124,plain,
spl0_11,
inference(rat,[],[s7,s120]) ).
cnf(s125,plain,
spl0_10,
inference(rat,[],[s6,s120]) ).
cnf(s129,plain,
$false,
inference(rat,[],[s42,s121,s122,s123,s116,s35,s124,s125]) ).
fof(f988,plain,
$false,
inference(avatar_sat_refutation,[],[s129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % 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 THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:00:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 2.94/1.26 % (559067)Input is clausal, will run a generic CNF schedule.
% 2.94/1.26 % (559076)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4159361812:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.94/1.26 % (559073)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1879689936:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.94/1.26 % (559077)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2640208126:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.94/1.26 % (559072)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=1340895508:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.94/1.26 % (559074)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1222335551:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.94/1.26 % (559075)lrs+10_1_sil=8000:sp=occurrence:random_seed=3247281305:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.94/1.26 % (559078)dis-21_1_sil=8000:lcm=predicate:random_seed=2959307544: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)
% 2.94/1.26 % (559078)Refutation not found, incomplete strategy
% 2.94/1.26 % (559078)------------------------------
% 2.94/1.26 % (559078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.26 % (559076)Instruction limit reached!
% 2.94/1.26 % (559076)------------------------------
% 2.94/1.26 % (559076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.26 % (559076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.26 % (559078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.26 % (559078)CaDiCaL version: 2.1.3
% 2.94/1.26 % (559076)CaDiCaL version: 2.1.3
% 2.94/1.26 % (559078)Termination reason: Refutation not found, incomplete strategy
% 2.94/1.26 % (559078)Time elapsed: 0.002 s
% 2.94/1.26 % (559076)Termination reason: Instruction limit
% 2.94/1.26 % (559076)Termination phase: Saturation
% 2.94/1.26 % (559076)Time elapsed: 0.036 s
% 2.94/1.26 % (559076)Peak memory usage: 89 MB
% 2.94/1.26 % (559076)Instructions burned: 117 (million)
% 2.94/1.26 % (559078)Peak memory usage: 88 MB
% 2.94/1.26 % (559078)Instructions burned: 2 (million)
% 2.94/1.26 % (559075)Refutation not found, incomplete strategy
% 2.94/1.26 % (559075)------------------------------
% 2.94/1.26 % (559075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.26 % (559075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.26 % (559075)CaDiCaL version: 2.1.3
% 2.94/1.26 % (559075)Termination reason: Refutation not found, incomplete strategy
% 2.94/1.26 % (559075)Time elapsed: 0.003 s
% 2.94/1.26 % (559075)Peak memory usage: 88 MB
% 2.94/1.26 % (559075)Instructions burned: 4 (million)
% 2.94/1.26 % (559077)First to succeed.
% 2.94/1.26 % (559077)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-559067"
% 2.94/1.26 % (559086)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=1847918088:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.94/1.26 % (559086)Refutation not found, incomplete strategy
% 2.94/1.26 % (559086)------------------------------
% 2.94/1.26 % (559086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.26 % (559086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.26 % (559086)CaDiCaL version: 2.1.3
% 2.94/1.26 % (559086)Termination reason: Refutation not found, incomplete strategy
% 2.94/1.26 % (559086)Time elapsed: 0.002 s
% 2.94/1.26 % (559086)Peak memory usage: 88 MB
% 2.94/1.26 % (559086)Instructions burned: 4 (million)
% 2.94/1.26 % (559086)------------------------------
% 2.94/1.26 % (559086)------------------------------
% 2.94/1.26 % (559078)------------------------------
% 2.94/1.26 % (559078)------------------------------
% 2.94/1.26 % (559075)------------------------------
% 2.94/1.26 % (559075)------------------------------
% 2.94/1.26 % (559077)Refutation found. Thanks to Tanya!
% 2.94/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.94/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.44 % (559077)------------------------------
% 3.61/1.44 % (559077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.44 % (559077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.44 % (559077)CaDiCaL version: 2.1.3
% 3.61/1.44 % (559077)Termination reason: Refutation
% 3.61/1.44 % (559077)Time elapsed: 0.023 s
% 3.61/1.44 % (559077)Peak memory usage: 89 MB
% 3.61/1.44 % (559077)Instructions burned: 32 (million)
% 3.61/1.44 % (559077)------------------------------
% 3.61/1.44 % (559077)------------------------------
% 3.61/1.44 % (559067)Success in time 0.427 s
% 3.61/1.44 % Vampire exiting
%------------------------------------------------------------------------------