%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP299-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 10:17:25 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 40
% Syntax : Number of formulae : 254 ( 17 unt; 15 def)
% Number of atoms : 844 ( 245 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1123 ( 533 ~; 575 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f19]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f31]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c1)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f39]) ).
fof(f43,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X1) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,X3) != sk_c6
| inverse(X2) != X3
| multiply(X3,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != multiply(X2,X3)
| inverse(X2) != X3
| sk_c6 != multiply(X3,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
! [X2,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) ),
inference(equality_resolution,[],[f54]) ).
fof(f57,definition,
( spl0_1
<=> ! [X2] :
( sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f58,plain,
( ! [X2] :
( sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_2
<=> ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f61,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c7 != inverse(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_3
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl0_4
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl0_5
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f72,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_6
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f55,f74,f71,f67,f63,f60,f57]) ).
fof(f79,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f81,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f52,f67,f79]) ).
fof(f84,definition,
( spl0_8
<=> sk_c4 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f86,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f50,f67,f84]) ).
fof(f89,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c3,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f91,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f48,f67,f89]) ).
fof(f94,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f96,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f46,f67,f94]) ).
fof(f99,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f101,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f44,f67,f99]) ).
fof(f105,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f107,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f105,f79]) ).
fof(f109,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f105,f84]) ).
fof(f110,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f105,f89]) ).
fof(f112,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f105,f99]) ).
fof(f113,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f105,f63]) ).
fof(f115,definition,
( spl0_13
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f117,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f115,f79]) ).
fof(f119,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f115,f84]) ).
fof(f120,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f115,f89]) ).
fof(f122,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f115,f99]) ).
fof(f123,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f115,f63]) ).
fof(f124,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f74,f79]) ).
fof(f125,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f74,f84]) ).
fof(f126,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f74,f89]) ).
fof(f127,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f74,f94]) ).
fof(f128,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f74,f99]) ).
fof(f129,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f74,f63]) ).
fof(f130,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl0_8 ),
inference(superposition,[],[f3,f86]) ).
fof(f131,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f3,f101]) ).
fof(f133,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f136,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_7 ),
inference(superposition,[],[f4,f81]) ).
fof(f140,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f133,f1]) ).
fof(f142,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f130]) ).
fof(f143,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f142,f1]) ).
fof(f144,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f131]) ).
fof(f145,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f144,f1]) ).
fof(f146,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f143,f91]) ).
fof(f154,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c4,identity)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f136,f131]) ).
fof(f158,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f145,f96]) ).
fof(f169,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c6)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f136,f158]) ).
fof(f172,plain,
( multiply(sk_c6,sk_c7) = sk_c4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f169,f146]) ).
fof(f173,plain,
( sk_c5 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f172,f64]) ).
fof(f186,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f81,f173]) ).
fof(f195,plain,
( spl0_4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f186,f99,f94,f89,f84,f79,f63,f67]) ).
fof(f196,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f68]) ).
fof(f222,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f140,f68]) ).
fof(f225,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f140,f146]) ).
fof(f227,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl0_11 ),
inference(superposition,[],[f140,f131]) ).
fof(f235,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f225,f3]) ).
fof(f244,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f64,f235]) ).
fof(f245,plain,
( sk_c5 != multiply(sk_c7,identity)
| spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f76,f235]) ).
fof(f254,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f244,f1]) ).
fof(f260,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f222,f235]) ).
fof(f261,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f260,f254]) ).
fof(f298,plain,
( sk_c7 = sk_c2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f261,f227]) ).
fof(f304,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f101,f298]) ).
fof(f322,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c5,identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f154,f173]) ).
fof(f323,plain,
( multiply(sk_c6,sk_c2) = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f322,f254]) ).
fof(f324,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f323,f298]) ).
fof(f325,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f324,f64]) ).
fof(f326,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f325,f254]) ).
fof(f413,plain,
( sk_c7 != sk_c5
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f245,f326]) ).
fof(f414,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f413,f254]) ).
fof(f415,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f416,plain,
( ! [X2] :
( identity != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f58,f235]) ).
fof(f418,plain,
( ! [X2] :
( identity != multiply(inverse(X2),sk_c7)
| identity != multiply(X2,inverse(X2)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f416,f235]) ).
fof(f420,plain,
( identity != multiply(sk_c4,sk_c7)
| identity != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f418,f86]) ).
fof(f433,plain,
( identity != sk_c6
| identity != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f420,f81]) ).
fof(f448,plain,
( identity != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f433,f235]) ).
fof(f453,plain,
( identity != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f448,f91]) ).
fof(f454,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f453,f235]) ).
fof(f455,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f456,plain,
( ! [X1] :
( sk_c7 != multiply(X1,identity)
| sk_c7 != inverse(X1) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f61,f235]) ).
fof(f459,plain,
( sk_c7 != sk_c2
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f456,f227]) ).
fof(f481,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f459,f298]) ).
fof(f483,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f481,f304]) ).
fof(f486,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f483,f304]) ).
fof(f487,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f492,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f107]) ).
fof(f497,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f140,f75]) ).
fof(f507,plain,
( sk_c7 != sk_c5
| sk_c7 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f61,f75]) ).
fof(f525,definition,
( spl0_20
<=> sk_c7 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f529,definition,
( spl0_21
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f530,plain,
( sk_c7 = sk_c5
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f532,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f507,f74,f60,f529,f525]) ).
fof(f578,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_21 ),
inference(superposition,[],[f68,f530]) ).
fof(f659,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f497,f530]) ).
fof(f660,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f659,f3]) ).
fof(f696,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f117,f660]) ).
fof(f697,plain,
( sk_c7 = multiply(inverse(sk_c1),identity)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f140,f696]) ).
fof(f700,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f697,f107]) ).
fof(f701,plain,
( multiply(sk_c5,identity) = multiply(sk_c6,sk_c1)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f196,f492]) ).
fof(f709,plain,
( multiply(sk_c5,identity) = multiply(identity,sk_c1)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f701,f660]) ).
fof(f712,plain,
( sk_c1 = multiply(sk_c5,identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f709,f1]) ).
fof(f714,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f712,f530]) ).
fof(f780,plain,
( sk_c7 = sk_c1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f714,f700]) ).
fof(f784,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f107,f780]) ).
fof(f787,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f140,f117]) ).
fof(f789,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f787,f107]) ).
fof(f829,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f75,f789]) ).
fof(f848,plain,
( spl0_20
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f784,f529,f115,f105,f74,f67,f525]) ).
fof(f849,plain,
( spl0_21
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f829,f115,f105,f74,f529]) ).
fof(f855,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f696,f117]) ).
fof(f872,plain,
( ! [X0] :
( identity != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f72,f855]) ).
fof(f877,plain,
( identity != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f872,f117]) ).
fof(f884,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f877,f855]) ).
fof(f890,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f884,f107]) ).
fof(f891,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f894,plain,
( ! [X2] :
( identity != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f58,f855]) ).
fof(f895,plain,
( ! [X2] :
( identity != multiply(inverse(X2),sk_c7)
| identity != multiply(X2,inverse(X2)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f894,f855]) ).
fof(f904,plain,
( identity != multiply(sk_c7,sk_c7)
| identity != multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f895,f107]) ).
fof(f908,plain,
( identity != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f904,f696]) ).
fof(f916,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f578,f855]) ).
fof(f917,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f916,f908]) ).
fof(f918,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f919,plain,
( sk_c5 != multiply(identity,sk_c7)
| spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f65,f855]) ).
fof(f920,plain,
( sk_c7 != sk_c5
| spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f919,f1]) ).
fof(f921,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f920,f530]) ).
fof(f922,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f984,plain,
( spl0_21
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f254,f89,f84,f63,f529]) ).
fof(f1038,plain,
( ! [X0] :
( identity != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f72,f660]) ).
fof(f1043,plain,
( identity != sk_c6
| sk_c7 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f1038,f68]) ).
fof(f1053,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1043,f660]) ).
fof(f1059,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1053,f530]) ).
fof(f1064,plain,
( spl0_20
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f304,f99,f89,f84,f67,f63,f525]) ).
fof(f1068,plain,
( ~ spl0_20
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1059,f529,f74,f71,f67,f525]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f77]) ).
cnf(s2,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f82]) ).
cnf(s3,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f87]) ).
cnf(s4,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f92]) ).
cnf(s5,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f97]) ).
cnf(s6,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f102]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s10,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s12,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f112]) ).
cnf(s13,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f113]) ).
cnf(s14,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s16,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s18,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s19,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s20,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f124]) ).
cnf(s21,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f125]) ).
cnf(s22,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f126]) ).
cnf(s23,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f127]) ).
cnf(s24,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f128]) ).
cnf(s25,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f129]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f195]) ).
cnf(s28,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f415]) ).
cnf(s34,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f455]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f487]) ).
cnf(s44,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f532]) ).
cnf(s56,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f848]) ).
cnf(s57,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f849]) ).
cnf(s60,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f891]) ).
cnf(s63,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f918]) ).
cnf(s64,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f922]) ).
cnf(s66,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| spl0_21 ),
inference(sat_conversion,[],[f984]) ).
cnf(s73,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f1064]) ).
cnf(s77,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f1068]) ).
cnf(s78,plain,
spl0_3,
inference(rat,[],[s57,s64,s13,s19,s25]) ).
cnf(s79,plain,
( spl0_6
| ~ spl0_4 ),
inference(rat,[],[s28,s20,s21,s22,s23,s24,s78]) ).
cnf(s80,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s56,s12,s18,s73,s77,s66,s79,s78]) ).
cnf(s81,plain,
( spl0_9
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s60,s57,s10,s16]) ).
cnf(s82,plain,
( ~ spl0_6
| ~ spl0_4
| spl0_1
| spl0_2 ),
inference(rat,[],[s60,s57,s9,s15,s80,s81,s1,s78]) ).
cnf(s83,plain,
( ~ spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s82,s79]) ).
cnf(s84,plain,
spl0_4,
inference(rat,[],[s27,s2,s3,s4,s5,s6,s78]) ).
cnf(s85,plain,
spl0_6,
inference(rat,[],[s79,s84]) ).
cnf(s88,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s56,s44,s12,s18,s66,s40,s78,s85,s84]) ).
cnf(s89,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s44,s56,s57,s10,s16,s85,s84]) ).
cnf(s90,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s44,s56,s57,s9,s15,s88,s84,s85]) ).
cnf(s91,plain,
~ spl0_2,
inference(rat,[],[s90,s89]) ).
cnf(s92,plain,
spl0_1,
inference(rat,[],[s83,s84,s91]) ).
cnf(s93,plain,
( ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s63,s8,s14,s34,s66,s78,s92,s85,s84]) ).
cnf(s94,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(rat,[],[s63,s57,s92,s85,s84]) ).
cnf(s95,plain,
spl0_9,
inference(rat,[],[s94,s10,s16]) ).
cnf(s96,plain,
~ spl0_8,
inference(rat,[],[s93,s95]) ).
cnf(s97,plain,
spl0_13,
inference(rat,[],[s15,s96]) ).
cnf(s98,plain,
spl0_12,
inference(rat,[],[s9,s96]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s94,s97,s98]) ).
fof(f1069,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP299-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n018.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 09:50:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.46 % (2086807)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2086815)dis+10_1_sil=32000:sp=arity:random_seed=3633487895:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (2086813)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2086812)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1906898154_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (2086813)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3028510104:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (2086814)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=886238603:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2086817)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2637839009:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (2086816)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2397425287:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (2086818)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=409563567:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (2086815) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2086807-2086815"...
% 0.10/0.46 % (2086815)...printing done.
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (2086815)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
% 0.35/0.46 % (2086815)------------------------------
% 0.35/0.46 % (2086815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.46 % (2086815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.46 % (2086815)CaDiCaL version: 2.1.3
% 0.35/0.46 % (2086815)Termination reason: Refutation
% 0.35/0.46 % (2086815)Time elapsed: 0.014 s
% 0.35/0.46 % (2086815)Peak memory usage: 12 MB
% 0.35/0.46 % (2086815)Instructions burned: 39 (million)
% 0.35/0.46 % (2086807)Success in time 0.042 s
% 0.35/0.46 % Vampire exiting
%------------------------------------------------------------------------------