%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP326-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 10:17:29 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 39
% Syntax : Number of formulae : 268 ( 21 unt; 16 def)
% Number of atoms : 892 ( 249 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1182 ( 558 ~; 608 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f8]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f16]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c6 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c7,sk_c3) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c7,sk_c3) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c7,sk_c3) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c7,sk_c3) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c3
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c3
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c3
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c3
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| multiply(sk_c7,X1) != sk_c6
| multiply(X2,sk_c7) != X1
| inverse(X2) != sk_c7
| inverse(sk_c6) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(X3) != sk_c7
| multiply(X3,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6
| sk_c6 != multiply(sk_c7,X1)
| multiply(X2,sk_c7) != X1
| sk_c7 != inverse(X2)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,plain,
! [X2,X3,X0] :
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6
| sk_c6 != multiply(sk_c7,multiply(X2,sk_c7))
| sk_c7 != inverse(X2)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ),
inference(equality_resolution,[],[f47]) ).
fof(f50,definition,
( spl0_1
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f51,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,definition,
( spl0_2
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f54,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f57,definition,
( spl0_3
<=> sk_c5 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f58,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( sk_c5 != inverse(sk_c6)
| spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f61,definition,
( spl0_4
<=> ! [X2] :
( sk_c6 != multiply(sk_c7,multiply(X2,sk_c7))
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f62,plain,
( ! [X2] :
( sk_c6 != multiply(sk_c7,multiply(X2,sk_c7))
| sk_c7 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f65,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,definition,
( spl0_6
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f68,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f48,f67,f64,f61,f57,f53,f50]) ).
fof(f72,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c4,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f73,plain,
( sk_c7 != multiply(sk_c4,sk_c6)
| spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f76,definition,
( spl0_8
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f78,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f76,f72]) ).
fof(f81,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f83,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f43,f76,f81]) ).
fof(f85,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f41,f76,f53]) ).
fof(f86,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f39,f76,f57]) ).
fof(f88,definition,
( spl0_10
<=> sk_c3 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f90,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f37,f88,f72]) ).
fof(f92,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f35,f88,f81]) ).
fof(f93,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f33,f88,f53]) ).
fof(f94,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f31,f88,f57]) ).
fof(f96,definition,
( spl0_11
<=> sk_c6 = multiply(sk_c7,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f98,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f29,f96,f72]) ).
fof(f100,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f27,f96,f81]) ).
fof(f101,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f25,f96,f53]) ).
fof(f102,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f23,f96,f57]) ).
fof(f104,definition,
( spl0_12
<=> sk_c6 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f106,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f21,f104,f72]) ).
fof(f109,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f17,f104,f53]) ).
fof(f110,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f15,f104,f57]) ).
fof(f112,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f114,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f13,f112,f72]) ).
fof(f117,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f9,f112,f53]) ).
fof(f118,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f7,f112,f57]) ).
fof(f119,plain,
spl0_6,
inference(avatar_split_clause,[],[f5,f67]) ).
fof(f129,definition,
( spl0_15
<=> sk_c6 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f130,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| spl0_15 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f133,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_3 ),
inference(superposition,[],[f3,f58]) ).
fof(f134,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_9 ),
inference(superposition,[],[f3,f83]) ).
fof(f147,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f148,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_6 ),
inference(superposition,[],[f4,f68]) ).
fof(f150,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f133]) ).
fof(f153,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f150,f1]) ).
fof(f154,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f147,f1]) ).
fof(f159,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f153,f68]) ).
fof(f162,plain,
( multiply(sk_c5,sk_c5) = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f148,f54]) ).
fof(f167,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f162,f159]) ).
fof(f169,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f153,f167]) ).
fof(f224,definition,
( spl0_21
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f225,plain,
( sk_c6 = sk_c7
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f226,plain,
( sk_c6 != sk_c7
| spl0_21 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f235,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f154,f3]) ).
fof(f236,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f154,f154]) ).
fof(f237,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f154,f68]) ).
fof(f242,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f154,f54]) ).
fof(f243,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f154,f134]) ).
fof(f246,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f154,f74]) ).
fof(f253,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f246,f83]) ).
fof(f258,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f235,f236]) ).
fof(f259,plain,
( spl0_15
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f253,f81,f72,f129]) ).
fof(f260,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f148,f130]) ).
fof(f262,plain,
( sk_c6 != multiply(sk_c7,sk_c6)
| sk_c7 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f62,f130]) ).
fof(f266,definition,
( spl0_22
<=> sk_c7 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f274,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f260,f169]) ).
fof(f275,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f274,f167]) ).
fof(f276,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f275,f226]) ).
fof(f277,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f281,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f51,f167]) ).
fof(f285,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f281]) ).
fof(f288,plain,
( sk_c7 != sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f285,f58]) ).
fof(f291,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c7)
| inverse(X0) != sk_c6 )
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f65,f225]) ).
fof(f292,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f291,f225]) ).
fof(f293,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f58,f225]) ).
fof(f294,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f68,f225]) ).
fof(f300,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f167,f225]) ).
fof(f303,plain,
( sk_c6 = sk_c5
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f294,f130]) ).
fof(f306,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f303,f225]) ).
fof(f310,plain,
( sk_c7 != sk_c5
| sk_c7 != inverse(sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f292,f68]) ).
fof(f314,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f310,f306]) ).
fof(f316,plain,
( sk_c7 != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f314,f58]) ).
fof(f319,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f316,f306]) ).
fof(f320,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f326,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| sk_c7 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f262,f225]) ).
fof(f332,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f326,f300]) ).
fof(f339,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f332,f293]) ).
fof(f340,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f339,f306]) ).
fof(f341,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f342,plain,
( sk_c5 != inverse(sk_c7)
| spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f59,f225]) ).
fof(f349,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f237,f306]) ).
fof(f351,plain,
( sk_c7 != inverse(sk_c7)
| spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f342,f306]) ).
fof(f355,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f349,f225]) ).
fof(f356,plain,
( ~ spl0_22
| spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f351,f224,f129,f67,f57,f266]) ).
fof(f360,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f355,f3]) ).
fof(f362,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f1,f360]) ).
fof(f364,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f78]) ).
fof(f376,plain,
( identity = sk_c2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f364,f362]) ).
fof(f379,plain,
( sk_c7 = sk_c2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f376,f360]) ).
fof(f386,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f78,f379]) ).
fof(f390,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f106]) ).
fof(f391,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f154,f90]) ).
fof(f392,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c3,X0)
| ~ spl0_10 ),
inference(superposition,[],[f4,f90]) ).
fof(f393,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f391,f78]) ).
fof(f395,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_11 ),
inference(superposition,[],[f154,f98]) ).
fof(f396,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f98]) ).
fof(f397,plain,
( sk_c5 = sk_c3
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f395,f242]) ).
fof(f402,plain,
( multiply(sk_c6,identity) = multiply(sk_c5,sk_c2)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f148,f364]) ).
fof(f403,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl0_8 ),
inference(superposition,[],[f154,f364]) ).
fof(f406,plain,
( sk_c4 = sk_c2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f403,f243]) ).
fof(f407,plain,
( sk_c6 = multiply(sk_c5,sk_c2)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f402,f258]) ).
fof(f408,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f407,f406]) ).
fof(f413,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_12 ),
inference(superposition,[],[f154,f390]) ).
fof(f416,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f413,f258]) ).
fof(f419,plain,
( identity = multiply(sk_c1,sk_c6)
| ~ spl0_12 ),
inference(superposition,[],[f3,f416]) ).
fof(f420,plain,
( identity = sk_c7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f419,f114]) ).
fof(f427,plain,
( multiply(sk_c2,identity) = multiply(sk_c3,sk_c2)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f392,f364]) ).
fof(f432,plain,
( multiply(sk_c3,sk_c4) = multiply(sk_c4,identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f427,f406]) ).
fof(f441,plain,
( sk_c4 = multiply(sk_c3,sk_c4)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f432,f258]) ).
fof(f448,plain,
( sk_c4 = multiply(sk_c5,sk_c4)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f441,f397]) ).
fof(f455,plain,
( sk_c6 = sk_c4
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f448,f408]) ).
fof(f468,plain,
( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c6,X0)) = multiply(sk_c3,X0)
| ~ spl0_11 ),
inference(superposition,[],[f154,f396]) ).
fof(f477,plain,
( sk_c7 != multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f73,f455]) ).
fof(f493,plain,
( sk_c6 = sk_c7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f393,f98]) ).
fof(f494,plain,
( sk_c6 = sk_c7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f98,f393]) ).
fof(f495,plain,
( multiply(sk_c2,sk_c7) = multiply(sk_c3,sk_c3)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f392,f393]) ).
fof(f497,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f154,f393]) ).
fof(f500,plain,
( identity = sk_c3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f497,f3]) ).
fof(f502,plain,
( multiply(sk_c2,sk_c7) = multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f495,f397]) ).
fof(f503,plain,
( $false
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f494,f226]) ).
fof(f504,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f505,plain,
( $false
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f493,f226]) ).
fof(f506,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f507,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f500,f397]) ).
fof(f509,plain,
( multiply(sk_c2,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f502,f162]) ).
fof(f510,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f507,f420]) ).
fof(f511,plain,
( sk_c3 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f509,f90]) ).
fof(f512,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f511,f397]) ).
fof(f513,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f512,f510]) ).
fof(f514,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f513,f477]) ).
fof(f515,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f517,plain,
( spl0_22
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f386,f224,f129,f76,f67,f266]) ).
fof(f528,plain,
( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c7,X0)) = multiply(sk_c3,X0)
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f468,f225]) ).
fof(f534,plain,
( sk_c7 = sk_c3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f500,f420]) ).
fof(f571,plain,
( sk_c5 = sk_c1
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f416,f58]) ).
fof(f610,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| spl0_2
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f55,f306]) ).
fof(f614,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f610,f130]) ).
fof(f615,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f619,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f288,f306]) ).
fof(f620,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f672,plain,
( sk_c7 != sk_c1
| sk_c7 != sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f310,f416]) ).
fof(f674,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f131,f225]) ).
fof(f679,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f528,f154]) ).
fof(f696,plain,
( sk_c7 != sk_c1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f672,f510]) ).
fof(f699,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f674,f300]) ).
fof(f700,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f704,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f679,f534]) ).
fof(f712,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f696,f571]) ).
fof(f717,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f712,f510]) ).
fof(f718,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f728,plain,
( $false
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f674,f704]) ).
fof(f729,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f728]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f70]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f79]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f84]) ).
cnf(s4,plain,
( spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f85]) ).
cnf(s5,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f91]) ).
cnf(s7,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f92]) ).
cnf(s8,plain,
( spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f93]) ).
cnf(s9,plain,
( spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f94]) ).
cnf(s10,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f99]) ).
cnf(s11,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f100]) ).
cnf(s12,plain,
( spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f101]) ).
cnf(s13,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f102]) ).
cnf(s14,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f107]) ).
cnf(s16,plain,
( spl0_2
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s17,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s18,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f115]) ).
cnf(s20,plain,
( spl0_2
| spl0_13 ),
inference(sat_conversion,[],[f117]) ).
cnf(s21,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s22,plain,
spl0_6,
inference(sat_conversion,[],[f119]) ).
cnf(s27,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f259]) ).
cnf(s29,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f277]) ).
cnf(s32,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f320]) ).
cnf(s38,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f341]) ).
cnf(s39,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f356]) ).
cnf(s42,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_21 ),
inference(sat_conversion,[],[f504]) ).
cnf(s43,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_21 ),
inference(sat_conversion,[],[f506]) ).
cnf(s44,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f515]) ).
cnf(s45,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f517]) ).
cnf(s48,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f615]) ).
cnf(s49,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f620]) ).
cnf(s57,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f700]) ).
cnf(s58,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f718]) ).
cnf(s60,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f729]) ).
cnf(s63,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1,s22]) ).
cnf(s64,plain,
spl0_2,
inference(rat,[],[s48,s60,s43,s4,s8,s12,s16,s20,s22]) ).
cnf(s65,plain,
spl0_3,
inference(rat,[],[s39,s45,s60,s43,s5,s9,s13,s17,s21,s22]) ).
cnf(s66,plain,
( spl0_7
| ~ spl0_5 ),
inference(rat,[],[s58,s43,s2,s6,s10,s14,s18,s64,s22,s65]) ).
cnf(s67,plain,
( ~ spl0_21
| ~ spl0_5 ),
inference(rat,[],[s57,s32,s65,s64,s22]) ).
cnf(s68,plain,
~ spl0_5,
inference(rat,[],[s3,s43,s7,s11,s27,s29,s67,s66,s22,s64,s65]) ).
cnf(s69,plain,
( ~ spl0_21
| ~ spl0_4 ),
inference(rat,[],[s57,s38,s65,s64,s22]) ).
cnf(s70,plain,
( spl0_9
| spl0_21 ),
inference(rat,[],[s42,s3,s7,s11]) ).
cnf(s71,plain,
( ~ spl0_9
| spl0_15 ),
inference(rat,[],[s44,s2,s6,s10,s14,s18,s27,s64,s22]) ).
cnf(s72,plain,
spl0_21,
inference(rat,[],[s71,s70,s29,s22,s64,s65]) ).
cnf(s73,plain,
~ spl0_4,
inference(rat,[],[s69,s72]) ).
cnf(s74,plain,
spl0_15,
inference(rat,[],[s57,s65,s64,s22,s72]) ).
cnf(s76,plain,
spl0_1,
inference(rat,[],[s63,s68,s64,s65,s73]) ).
cnf(s77,plain,
$false,
inference(rat,[],[s49,s72,s64,s22,s65,s74,s76]) ).
fof(f738,plain,
$false,
inference(avatar_sat_refutation,[],[s77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP326-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 09:50:49 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.49 % (2846253)Will run a generic schedule for satisfiability detection.
% 0.16/0.49 % (2846258)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2551466514_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.49 % TRYING [1]
% 0.16/0.49 % TRYING [2]
% 0.16/0.49 % TRYING [3]
% 0.16/0.49 % TRYING [4]
% 0.16/0.49 % (2846259)% WARNING: option uhcvi not known.
% 0.16/0.49 % (2846259)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1441573776:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.49 % (2846263)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3734385081:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.49 % (2846260)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1257832068:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.49 % TRYING [5]
% 0.16/0.49 % (2846261)dis+10_1_sil=32000:sp=arity:random_seed=3740300291:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.49 % (2846262)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=141159560:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.49 % (2846264)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=478687711:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.49 % (2846262) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2846253-2846262"...
% 0.16/0.49 % TRYING [6]
% 0.16/0.49 % (2846263) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2846253-2846263"...
% 0.16/0.49 % (2846261) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2846253-2846261"...
% 0.16/0.49 % (2846262)...printing done.
% 0.16/0.49 % (2846262)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (2846262)------------------------------
% 0.16/0.49 % (2846262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.49 % (2846262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.49 % (2846262)CaDiCaL version: 2.1.3
% 0.16/0.49 % (2846262)Termination reason: Refutation
% 0.16/0.49 % (2846262)Time elapsed: 0.016 s
% 0.16/0.49 % (2846262)Peak memory usage: 12 MB
% 0.16/0.49 % (2846262)Instructions burned: 24 (million)
% 0.16/0.49 % (2846253)Success in time 0.056 s
% 0.16/0.49 % Vampire exiting
%------------------------------------------------------------------------------