%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP334-1 : 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 : n008.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 10:17:31 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 42
% Syntax : Number of formulae : 360 ( 26 unt; 17 def)
% Number of atoms : 1331 ( 333 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1879 ( 908 ~; 954 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 72 !; 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
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c4 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c6 = inverse(sk_c1)
| sk_c4 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = inverse(sk_c2)
| sk_c4 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c4 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c3) ),
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
| inverse(X1) != sk_c6
| multiply(X1,sk_c5) != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5
| multiply(sk_c6,X2) != sk_c5
| multiply(X3,sk_c6) != X2
| inverse(X3) != sk_c6 ),
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 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5)
| sk_c5 != inverse(sk_c6)
| sk_c5 != inverse(sk_c7)
| sk_c5 != multiply(sk_c6,X2)
| multiply(X3,sk_c6) != X2
| sk_c6 != inverse(X3) ),
inference(reorient_equations,[],[f46]) ).
fof(f49,definition,
( spl0_1
<=> ! [X2,X3] :
( sk_c5 != multiply(sk_c6,X2)
| sk_c6 != inverse(X3)
| multiply(X3,sk_c6) != X2 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f50,plain,
( ! [X2,X3] :
( sk_c5 != multiply(sk_c6,X2)
| sk_c6 != inverse(X3)
| multiply(X3,sk_c6) != X2 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,definition,
( spl0_2
<=> sk_c5 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f53,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( sk_c5 != inverse(sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,definition,
( spl0_3
<=> sk_c5 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f57,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f58,plain,
( sk_c5 != inverse(sk_c6)
| spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f60,definition,
( spl0_4
<=> ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f61,plain,
( ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f64,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,definition,
( spl0_6
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f67,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f47,f66,f63,f60,f56,f52,f49]) ).
fof(f71,definition,
( spl0_7
<=> sk_c6 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f73,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f75,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f77,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f75,f71]) ).
fof(f80,definition,
( spl0_9
<=> sk_c4 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f82,plain,
( sk_c4 = multiply(sk_c3,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f43,f75,f80]) ).
fof(f85,definition,
( spl0_10
<=> sk_c5 = multiply(sk_c6,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f87,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f41,f75,f85]) ).
fof(f89,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f39,f75,f52]) ).
fof(f90,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f37,f75,f56]) ).
fof(f92,definition,
( spl0_11
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f94,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f35,f92,f71]) ).
fof(f96,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f33,f92,f80]) ).
fof(f97,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f31,f92,f85]) ).
fof(f98,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f29,f92,f52]) ).
fof(f99,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f27,f92,f56]) ).
fof(f101,definition,
( spl0_12
<=> sk_c6 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f103,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f25,f101,f71]) ).
fof(f105,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f23,f101,f80]) ).
fof(f106,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f21,f101,f85]) ).
fof(f107,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f19,f101,f52]) ).
fof(f108,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f17,f101,f56]) ).
fof(f110,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f112,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f15,f110,f71]) ).
fof(f114,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f13,f110,f80]) ).
fof(f115,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f11,f110,f85]) ).
fof(f116,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f9,f110,f52]) ).
fof(f117,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f7,f110,f56]) ).
fof(f118,plain,
spl0_6,
inference(avatar_split_clause,[],[f5,f66]) ).
fof(f119,plain,
( ! [X1] :
( sk_c6 != multiply(X1,inverse(sk_c7))
| sk_c6 != inverse(X1) )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f61,f53]) ).
fof(f120,plain,
( multiply(sk_c6,sk_c7) = inverse(sk_c6)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f67,f57]) ).
fof(f121,plain,
( inverse(sk_c7) = multiply(sk_c6,sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f87,f53]) ).
fof(f123,plain,
( inverse(sk_c6) = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f53,f57]) ).
fof(f128,definition,
( spl0_14
<=> sk_c6 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f129,plain,
( sk_c6 = inverse(identity)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f130,plain,
( sk_c6 != inverse(identity)
| spl0_14 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f132,definition,
( spl0_15
<=> sk_c6 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f133,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( sk_c6 != inverse(sk_c6)
| spl0_15 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f138,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f3,f3]) ).
fof(f139,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f3,f73]) ).
fof(f140,plain,
( identity = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f3,f123]) ).
fof(f141,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f142,plain,
( identity != sk_c6
| sk_c6 != inverse(inverse(inverse(sk_c7)))
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f119,f3]) ).
fof(f145,definition,
( spl0_16
<=> sk_c6 = inverse(inverse(inverse(sk_c6))) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f147,plain,
( sk_c6 != inverse(inverse(inverse(sk_c6)))
| spl0_16 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,definition,
( spl0_17
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f150,plain,
( identity = sk_c6
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f151,plain,
( identity != sk_c6
| spl0_17 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f153,plain,
( sk_c6 != inverse(inverse(inverse(sk_c6)))
| identity != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f142,f123]) ).
fof(f154,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f141,f4]) ).
fof(f155,plain,
( ~ spl0_17
| ~ spl0_16
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f153,f60,f56,f52,f145,f149]) ).
fof(f160,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = multiply(inverse(sk_c7),X0)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f4,f121]) ).
fof(f161,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f139]) ).
fof(f162,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f82]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f161,f1]) ).
fof(f167,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f160,f123]) ).
fof(f173,plain,
( multiply(sk_c4,sk_c7) = multiply(sk_c3,inverse(sk_c6))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f162,f120]) ).
fof(f174,plain,
( multiply(sk_c4,sk_c4) = multiply(sk_c3,inverse(sk_c7))
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f162,f121]) ).
fof(f178,plain,
( multiply(sk_c3,inverse(sk_c6)) = multiply(sk_c4,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f174,f123]) ).
fof(f180,plain,
( multiply(sk_c4,sk_c7) = multiply(sk_c4,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f178,f173]) ).
fof(f185,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f166,f82]) ).
fof(f196,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f121,f185]) ).
fof(f203,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f154,f1]) ).
fof(f205,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f154,f3]) ).
fof(f207,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f154,f154]) ).
fof(f211,plain,
( sk_c7 = multiply(inverse(sk_c6),inverse(sk_c6))
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f154,f120]) ).
fof(f212,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f154,f185]) ).
fof(f213,plain,
( sk_c4 = multiply(inverse(sk_c6),inverse(sk_c7))
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f154,f121]) ).
fof(f214,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_7 ),
inference(superposition,[],[f154,f139]) ).
fof(f221,plain,
( sk_c4 = multiply(inverse(sk_c6),inverse(sk_c6))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f213,f123]) ).
fof(f222,plain,
( identity = sk_c4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f212,f3]) ).
fof(f226,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f205,f207]) ).
fof(f229,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f167,f222]) ).
fof(f232,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = multiply(sk_c6,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f229,f1]) ).
fof(f275,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f123,f196]) ).
fof(f284,plain,
( spl0_15
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f275,f85,f80,f71,f56,f52,f132]) ).
fof(f293,plain,
( identity = multiply(sk_c6,multiply(inverse(sk_c6),identity))
| ~ spl0_7 ),
inference(superposition,[],[f139,f214]) ).
fof(f298,plain,
( identity = multiply(sk_c6,multiply(sk_c6,identity))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f293,f232]) ).
fof(f303,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f298,f226]) ).
fof(f315,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl0_15
| spl0_16 ),
inference(superposition,[],[f147,f133]) ).
fof(f321,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_15 ),
inference(superposition,[],[f3,f133]) ).
fof(f323,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl0_15
| spl0_16 ),
inference(forward_demodulation,[],[f315,f133]) ).
fof(f325,plain,
( $false
| ~ spl0_15
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f323,f133]) ).
fof(f326,plain,
( ~ spl0_15
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f365,plain,
( multiply(identity,identity) = multiply(identity,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f180,f222]) ).
fof(f372,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f365,f1]) ).
fof(f375,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f372,f1]) ).
fof(f382,plain,
( identity = multiply(inverse(sk_c6),identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f140,f375]) ).
fof(f384,plain,
( sk_c6 = inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f196,f375]) ).
fof(f385,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f384,f130]) ).
fof(f386,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f388,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f382,f232]) ).
fof(f390,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f388,f226]) ).
fof(f391,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f390,f151]) ).
fof(f392,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f393,plain,
( ! [X2,X3] :
( inverse(sk_c7) != multiply(sk_c6,X2)
| sk_c6 != inverse(X3)
| multiply(X3,sk_c6) != X2 )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f50,f53]) ).
fof(f394,plain,
( ! [X2,X3] :
( inverse(sk_c7) != multiply(inverse(identity),X2)
| sk_c6 != inverse(X3)
| multiply(X3,sk_c6) != X2 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f393,f129]) ).
fof(f395,plain,
( ! [X2,X3] :
( inverse(sk_c7) != X2
| sk_c6 != inverse(X3)
| multiply(X3,sk_c6) != X2 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f394,f203]) ).
fof(f396,plain,
( ! [X2,X3] :
( inverse(sk_c6) != X2
| sk_c6 != inverse(X3)
| multiply(X3,sk_c6) != X2 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f395,f123]) ).
fof(f397,plain,
( ! [X2,X3] :
( sk_c6 != X2
| sk_c6 != inverse(X3)
| multiply(X3,sk_c6) != X2 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f396,f133]) ).
fof(f398,plain,
( ! [X2,X3] :
( inverse(identity) != X2
| sk_c6 != inverse(X3)
| multiply(X3,sk_c6) != X2 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f397,f129]) ).
fof(f399,plain,
( ! [X2,X3] :
( inverse(X3) != inverse(identity)
| inverse(identity) != X2
| multiply(X3,sk_c6) != X2 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f398,f129]) ).
fof(f400,plain,
( ! [X2,X3] :
( multiply(X3,inverse(identity)) != X2
| inverse(X3) != inverse(identity)
| inverse(identity) != X2 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f399,f129]) ).
fof(f402,plain,
( ! [X0] :
( inverse(identity) != X0
| inverse(identity) != inverse(identity)
| inverse(identity) != X0 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f400,f1]) ).
fof(f408,plain,
( ! [X0] :
( inverse(identity) != X0
| inverse(identity) != inverse(identity) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f402]) ).
fof(f409,plain,
( ! [X0] : inverse(identity) != X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f408]) ).
fof(f424,plain,
( inverse(identity) = multiply(identity,sk_c7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f120,f150]) ).
fof(f425,plain,
( inverse(sk_c7) = multiply(identity,sk_c4)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f121,f150]) ).
fof(f426,plain,
( identity = inverse(identity)
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f133,f150]) ).
fof(f443,plain,
( inverse(sk_c7) = sk_c4
| ~ spl0_2
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f425,f1]) ).
fof(f444,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f424,f409]) ).
fof(f445,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f451,plain,
( inverse(sk_c7) = multiply(inverse(sk_c6),inverse(sk_c6))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f443,f221]) ).
fof(f457,plain,
( inverse(sk_c7) = multiply(sk_c6,inverse(sk_c6))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f451,f232]) ).
fof(f463,plain,
( inverse(sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f457,f133]) ).
fof(f469,plain,
( identity = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f463,f303]) ).
fof(f475,plain,
( identity = inverse(multiply(inverse(sk_c6),inverse(sk_c6)))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f469,f211]) ).
fof(f477,plain,
( identity = inverse(multiply(sk_c6,inverse(sk_c6)))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f475,f232]) ).
fof(f479,plain,
( identity = inverse(multiply(sk_c6,sk_c6))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f477,f133]) ).
fof(f481,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f479,f303]) ).
fof(f483,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f481,f409]) ).
fof(f484,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f486,plain,
( sk_c5 != inverse(multiply(inverse(sk_c6),inverse(sk_c6)))
| spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f54,f211]) ).
fof(f488,plain,
( inverse(sk_c2) = inverse(identity)
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f94,f129]) ).
fof(f496,plain,
( identity = multiply(sk_c6,inverse(sk_c6))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f293,f226]) ).
fof(f500,plain,
( identity = multiply(inverse(identity),inverse(identity))
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f321,f129]) ).
fof(f514,plain,
( sk_c5 != inverse(multiply(sk_c6,sk_c6))
| spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[],[f486,f133]) ).
fof(f528,plain,
( identity = inverse(identity)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f500,f203]) ).
fof(f541,plain,
( sk_c5 != inverse(multiply(inverse(identity),inverse(identity)))
| spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f514,f129]) ).
fof(f559,plain,
( sk_c5 != inverse(inverse(identity))
| spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f541,f203]) ).
fof(f573,plain,
( sk_c5 != inverse(identity)
| spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f559,f426]) ).
fof(f582,plain,
( identity != sk_c5
| spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f573,f426]) ).
fof(f599,plain,
( identity != inverse(sk_c6)
| spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f582,f57]) ).
fof(f601,plain,
( identity != sk_c6
| spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f599,f133]) ).
fof(f604,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f601,f150]) ).
fof(f605,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f615,plain,
( identity = multiply(inverse(identity),inverse(inverse(identity)))
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f496,f129]) ).
fof(f635,plain,
( identity = inverse(inverse(identity))
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f615,f203]) ).
fof(f665,plain,
( inverse(identity) != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_14
| spl0_16 ),
inference(forward_demodulation,[],[f147,f129]) ).
fof(f695,plain,
( identity = multiply(inverse(identity),sk_c2)
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f3,f488]) ).
fof(f696,plain,
( identity = sk_c2
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f695,f203]) ).
fof(f710,plain,
( inverse(identity) != inverse(inverse(identity))
| ~ spl0_7
| ~ spl0_14
| spl0_16 ),
inference(forward_demodulation,[],[f665,f635]) ).
fof(f728,plain,
( identity != inverse(identity)
| spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f130,f150]) ).
fof(f730,plain,
( identity = inverse(sk_c2)
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f94,f150]) ).
fof(f740,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f496,f150]) ).
fof(f755,plain,
( identity = inverse(identity)
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f740,f1]) ).
fof(f768,plain,
( $false
| ~ spl0_7
| spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f755,f728]) ).
fof(f769,plain,
( ~ spl0_7
| spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f789,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f3,f730]) ).
fof(f790,plain,
( identity = sk_c2
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f789,f1]) ).
fof(f795,plain,
( identity = inverse(identity)
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f730,f790]) ).
fof(f796,plain,
( $false
| ~ spl0_11
| spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f795,f728]) ).
fof(f797,plain,
( ~ spl0_11
| spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f811,plain,
( ! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c6 )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f64,f150]) ).
fof(f837,plain,
( ! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c6 )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f811,f226]) ).
fof(f852,plain,
( ! [X0] :
( multiply(inverse(sk_c6),inverse(sk_c6)) != X0
| inverse(X0) != sk_c6 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f837,f211]) ).
fof(f861,plain,
( ! [X0] :
( multiply(inverse(identity),inverse(identity)) != X0
| inverse(X0) != sk_c6 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f852,f150]) ).
fof(f864,plain,
( ! [X0] :
( inverse(identity) != X0
| inverse(X0) != sk_c6 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f861,f203]) ).
fof(f865,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c6 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f864,f481]) ).
fof(f866,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f865,f150]) ).
fof(f915,plain,
( identity != identity
| identity != identity
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f866,f481]) ).
fof(f916,plain,
( identity != identity
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f915]) ).
fof(f917,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f916]) ).
fof(f918,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f931,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c6 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f864,f795]) ).
fof(f940,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f931,f150]) ).
fof(f979,plain,
( identity != identity
| identity != identity
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f940,f795]) ).
fof(f980,plain,
( identity != identity
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f979]) ).
fof(f981,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f980]) ).
fof(f982,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f986,plain,
( sk_c5 != inverse(identity)
| spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f58,f150]) ).
fof(f987,plain,
( identity != inverse(identity)
| spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f134,f150]) ).
fof(f989,plain,
( identity != inverse(identity)
| ~ spl0_7
| ~ spl0_11
| ~ spl0_14
| spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f710,f795]) ).
fof(f990,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f67,f150]) ).
fof(f991,plain,
( identity = multiply(sk_c2,sk_c5)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f77,f150]) ).
fof(f994,plain,
( identity != sk_c5
| spl0_3
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f986,f795]) ).
fof(f995,plain,
( $false
| ~ spl0_11
| spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f987,f795]) ).
fof(f996,plain,
( ~ spl0_11
| spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f998,plain,
( $false
| ~ spl0_7
| ~ spl0_11
| ~ spl0_14
| spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f989,f795]) ).
fof(f999,plain,
( ~ spl0_7
| ~ spl0_11
| ~ spl0_14
| spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f1000,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f990,f1]) ).
fof(f1013,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f991,f1000]) ).
fof(f1014,plain,
( identity != sk_c7
| spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f994,f1000]) ).
fof(f1017,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1013,f696]) ).
fof(f1019,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1017,f1]) ).
fof(f1020,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1019,f1014]) ).
fof(f1021,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1020]) ).
fof(f1022,plain,
( sk_c5 != inverse(inverse(identity))
| spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f58,f129]) ).
fof(f1024,plain,
( sk_c6 = multiply(identity,sk_c5)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f77,f696]) ).
fof(f1030,plain,
( sk_c6 = sk_c5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1024,f1]) ).
fof(f1034,plain,
( sk_c5 = inverse(identity)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1030,f129]) ).
fof(f1045,plain,
( sk_c5 != inverse(identity)
| spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1022,f528]) ).
fof(f1048,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1034,f528]) ).
fof(f1050,plain,
( identity != sk_c5
| spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1045,f528]) ).
fof(f1051,plain,
( $false
| spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1050,f1048]) ).
fof(f1052,plain,
( spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1061,plain,
( ! [X0] : multiply(inverse(X0),X0) = multiply(sk_c6,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f138,f103]) ).
fof(f1063,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f103]) ).
fof(f1064,plain,
( identity = multiply(inverse(identity),sk_c1)
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1063,f129]) ).
fof(f1066,plain,
( ! [X0] : multiply(inverse(X0),X0) = multiply(inverse(identity),sk_c1)
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1061,f129]) ).
fof(f1068,plain,
( identity = sk_c1
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1064,f203]) ).
fof(f1070,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c1
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1066,f203]) ).
fof(f1116,plain,
( sk_c1 = multiply(sk_c6,sk_c1)
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f1070,f103]) ).
fof(f1133,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1116,f1068]) ).
fof(f1137,plain,
( identity = sk_c6
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1133,f226]) ).
fof(f1139,plain,
( $false
| ~ spl0_12
| ~ spl0_14
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1137,f151]) ).
fof(f1140,plain,
( ~ spl0_12
| ~ spl0_14
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1139]) ).
fof(f1141,plain,
( sk_c6 = multiply(sk_c2,multiply(sk_c6,sk_c7))
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f77,f67]) ).
fof(f1146,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f3,f94]) ).
fof(f1154,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_12 ),
inference(superposition,[],[f154,f1063]) ).
fof(f1157,plain,
( sk_c1 = inverse(sk_c6)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1154,f226]) ).
fof(f1158,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_11 ),
inference(superposition,[],[f154,f1146]) ).
fof(f1161,plain,
( inverse(sk_c6) = sk_c2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1158,f226]) ).
fof(f1163,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f112,f1157]) ).
fof(f1165,plain,
( identity = sk_c7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1163,f3]) ).
fof(f1167,plain,
( sk_c6 = multiply(sk_c2,multiply(sk_c6,identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1141,f1165]) ).
fof(f1168,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1167,f226]) ).
fof(f1169,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1168,f1161]) ).
fof(f1170,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1169,f3]) ).
fof(f1171,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1170,f151]) ).
fof(f1172,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1171]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f69]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f78]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f83]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f88]) ).
cnf(s5,plain,
( spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f89]) ).
cnf(s6,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f90]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f95]) ).
cnf(s8,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f96]) ).
cnf(s9,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f97]) ).
cnf(s10,plain,
( spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f98]) ).
cnf(s11,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f99]) ).
cnf(s12,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f104]) ).
cnf(s13,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f105]) ).
cnf(s14,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f106]) ).
cnf(s15,plain,
( spl0_2
| spl0_12 ),
inference(sat_conversion,[],[f107]) ).
cnf(s16,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s17,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f113]) ).
cnf(s18,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f114]) ).
cnf(s19,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f115]) ).
cnf(s20,plain,
( spl0_2
| spl0_13 ),
inference(sat_conversion,[],[f116]) ).
cnf(s21,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f117]) ).
cnf(s22,plain,
spl0_6,
inference(sat_conversion,[],[f118]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f155]) ).
cnf(s27,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f284]) ).
cnf(s29,plain,
( ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f326]) ).
cnf(s30,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f386]) ).
cnf(s31,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f392]) ).
cnf(s36,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f445]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f484]) ).
cnf(s40,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f605]) ).
cnf(s48,plain,
( ~ spl0_7
| spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f769]) ).
cnf(s49,plain,
( ~ spl0_11
| spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f797]) ).
cnf(s50,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f918]) ).
cnf(s54,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f982]) ).
cnf(s56,plain,
( ~ spl0_11
| spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f996]) ).
cnf(s57,plain,
( ~ spl0_7
| ~ spl0_11
| ~ spl0_14
| spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f999]) ).
cnf(s60,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s63,plain,
( spl0_3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s66,plain,
( ~ spl0_12
| ~ spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s67,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f1172]) ).
cnf(s68,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1,s22]) ).
cnf(s69,plain,
spl0_2,
inference(rat,[],[s40,s63,s49,s56,s67,s5,s10,s15,s20,s22]) ).
cnf(s70,plain,
( spl0_7
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s54,s67,s2,s7,s12,s17,s22]) ).
cnf(s71,plain,
( ~ spl0_12
| spl0_17
| ~ spl0_11
| ~ spl0_8
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s30,s18,s19,s66,s67,s22,s69]) ).
cnf(s72,plain,
( spl0_17
| ~ spl0_11
| ~ spl0_3
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s31,s13,s14,s71,s69,s22]) ).
cnf(s73,plain,
( ~ spl0_11
| ~ spl0_8
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s72,s54,s70,s22]) ).
cnf(s74,plain,
( spl0_11
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s50,s27,s31,s8,s9,s70,s22,s69]) ).
cnf(s75,plain,
( ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s31,s3,s4,s73,s54,s74,s70,s69,s22]) ).
cnf(s76,plain,
( ~ spl0_11
| ~ spl0_8
| ~ spl0_7
| ~ spl0_4
| ~ spl0_3 ),
inference(rat,[],[s57,s26,s48,s72,s69]) ).
cnf(s77,plain,
( spl0_11
| ~ spl0_7
| ~ spl0_4
| ~ spl0_3 ),
inference(rat,[],[s29,s26,s27,s31,s8,s9,s69,s22]) ).
cnf(s78,plain,
( ~ spl0_11
| ~ spl0_7
| ~ spl0_3
| ~ spl0_4 ),
inference(rat,[],[s29,s26,s27,s31,s3,s4,s76,s22,s69]) ).
cnf(s79,plain,
( ~ spl0_7
| ~ spl0_3
| ~ spl0_4 ),
inference(rat,[],[s78,s77]) ).
cnf(s80,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(rat,[],[s29,s26,s56,s67,s2,s7,s12,s17,s79,s22,s69]) ).
cnf(s81,plain,
( spl0_5
| ~ spl0_3
| spl0_1 ),
inference(rat,[],[s80,s68,s69]) ).
cnf(s82,plain,
( ~ spl0_3
| spl0_1 ),
inference(rat,[],[s81,s75]) ).
cnf(s83,plain,
( ~ spl0_8
| ~ spl0_17
| ~ spl0_11
| spl0_3 ),
inference(rat,[],[s49,s60,s22]) ).
cnf(s84,plain,
spl0_3,
inference(rat,[],[s83,s67,s6,s11,s16,s21,s22]) ).
cnf(s87,plain,
spl0_1,
inference(rat,[],[s82,s84]) ).
cnf(s88,plain,
( spl0_17
| ~ spl0_8
| ~ spl0_11 ),
inference(rat,[],[s67,s12,s17,s72,s84,s22]) ).
cnf(s89,plain,
( ~ spl0_17
| ~ spl0_11 ),
inference(rat,[],[s36,s49,s56,s87,s69,s22,s84]) ).
cnf(s90,plain,
( spl0_17
| ~ spl0_11 ),
inference(rat,[],[s31,s2,s3,s4,s88,s84,s69,s22]) ).
cnf(s91,plain,
~ spl0_11,
inference(rat,[],[s90,s89]) ).
cnf(s92,plain,
spl0_10,
inference(rat,[],[s9,s91]) ).
cnf(s93,plain,
spl0_9,
inference(rat,[],[s8,s91]) ).
cnf(s94,plain,
spl0_7,
inference(rat,[],[s7,s91]) ).
cnf(s95,plain,
spl0_17,
inference(rat,[],[s31,s92,s94,s84,s69,s22,s93]) ).
cnf(s96,plain,
spl0_15,
inference(rat,[],[s27,s92,s94,s84,s69,s93]) ).
cnf(s97,plain,
spl0_14,
inference(rat,[],[s30,s92,s94,s84,s69,s22,s93]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s37,s87,s69,s93,s92,s84,s95,s22,s97,s96,s94]) ).
fof(f1173,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP334-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:54:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.46 % (990871)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (990881)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1283082704:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (990877)% WARNING: option uhcvi not known.
% 0.10/0.46 % (990878)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4168669406:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (990876)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4103543053_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (990882)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2715014073:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (990879)dis+10_1_sil=32000:sp=arity:random_seed=1164297820:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (990880)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1563961580:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (990877)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3475998238:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % (990881) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-990871-990881"...
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (990881)...printing done.
% 0.10/0.46 % (990881)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (990881)------------------------------
% 0.10/0.46 % (990881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (990881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (990881)CaDiCaL version: 2.1.3
% 0.10/0.46 % (990881)Termination reason: Refutation
% 0.10/0.46 % (990881)Time elapsed: 0.012 s
% 0.10/0.46 % (990881)Peak memory usage: 12 MB
% 0.10/0.46 % (990881)Instructions burned: 35 (million)
% 0.10/0.46 % (990871)Success in time 0.037 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------