%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP299-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:34 AM UTC 2026
% Result : Unsatisfiable 0.39s 0.79s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 43
% Syntax : Number of formulae : 249 ( 17 unt; 15 def)
% Number of atoms : 730 ( 229 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 883 ( 402 ~; 466 |; 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 : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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(f41,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(inverse(X2),sk_c7)
| sk_c6 != multiply(X2,inverse(X2)) )
| ~ 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 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) )
| ~ 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] :
( inverse(X0) != sk_c7
| sk_c6 != multiply(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(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(f103,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f42,f67,f63]) ).
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(f111,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f105,f94]) ).
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(f121,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f115,f94]) ).
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(f138,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f91]) ).
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(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(f176,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c3,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f138,f81]) ).
fof(f183,plain,
( sk_c5 = multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f176,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(f228,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl0_8 ),
inference(superposition,[],[f140,f130]) ).
fof(f233,plain,
( sk_c3 = multiply(inverse(sk_c5),identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f228,f173]) ).
fof(f235,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f225,f3]) ).
fof(f257,plain,
( sk_c3 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f233,f235]) ).
fof(f258,plain,
( sk_c7 = sk_c3
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f257,f222]) ).
fof(f264,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f183,f258]) ).
fof(f272,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f264,f99,f94,f89,f84,f79,f67,f63,f74]) ).
fof(f284,plain,
( sk_c6 != multiply(sk_c4,sk_c7)
| sk_c6 != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f58,f86]) ).
fof(f291,plain,
( sk_c6 != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f284,f81]) ).
fof(f301,definition,
( spl0_15
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f302,plain,
( identity = sk_c6
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f305,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f291,f84,f79,f57,f89]) ).
fof(f306,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f58,f107]) ).
fof(f316,definition,
( spl0_17
<=> sk_c6 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f317,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f320,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f306,f105,f57,f316,f115]) ).
fof(f321,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f140,f117]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f117]) ).
fof(f323,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f321,f107]) ).
fof(f330,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f323,f75]) ).
fof(f335,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f140,f323]) ).
fof(f337,plain,
( identity = sk_c6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f335,f3]) ).
fof(f341,plain,
( spl0_15
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f337,f115,f105,f301]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_15 ),
inference(superposition,[],[f1,f302]) ).
fof(f346,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f68,f330]) ).
fof(f349,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f65,f330]) ).
fof(f350,plain,
( spl0_17
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f346,f115,f105,f74,f67,f316]) ).
fof(f351,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6)
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f196,f317]) ).
fof(f355,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f351,f330]) ).
fof(f356,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f355,f75]) ).
fof(f357,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f356,f330]) ).
fof(f358,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f357,f349]) ).
fof(f359,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f364,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f72,f107]) ).
fof(f367,plain,
( sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_5
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f364]) ).
fof(f369,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f367,f117]) ).
fof(f370,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f373,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f61,f107]) ).
fof(f374,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f61,f101]) ).
fof(f375,plain,
( sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f374]) ).
fof(f376,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f373]) ).
fof(f378,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f322,f342]) ).
fof(f380,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f378,f317]) ).
fof(f391,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f380,f376]) ).
fof(f392,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f394,plain,
( sk_c7 = sk_c4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f172,f342]) ).
fof(f397,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f64,f342]) ).
fof(f400,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f68,f397]) ).
fof(f419,plain,
( sk_c7 != sk_c4
| sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f72,f86]) ).
fof(f421,plain,
( sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f419,f394]) ).
fof(f422,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f421,f258]) ).
fof(f425,plain,
( spl0_15
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f235,f89,f84,f301]) ).
fof(f436,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f375,f96]) ).
fof(f437,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f443,plain,
( ~ spl0_17
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f422,f301,f99,f94,f89,f84,f79,f71,f67,f63,f316]) ).
fof(f449,plain,
( spl0_17
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f158,f99,f94,f316]) ).
fof(f451,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f400,f301,f67,f63,f316]) ).
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(s7,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f103]) ).
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(s11,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
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(s17,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
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(s29,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f272]) ).
cnf(s32,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f305]) ).
cnf(s35,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f320]) ).
cnf(s36,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f341]) ).
cnf(s38,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f350]) ).
cnf(s39,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f359]) ).
cnf(s41,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f370]) ).
cnf(s42,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f392]) ).
cnf(s47,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f425]) ).
cnf(s51,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f437]) ).
cnf(s57,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f443]) ).
cnf(s59,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f449]) ).
cnf(s63,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f451]) ).
cnf(s67,plain,
spl0_3,
inference(rat,[],[s39,s38,s7,s13,s19,s25]) ).
cnf(s68,plain,
( spl0_6
| ~ spl0_4 ),
inference(rat,[],[s29,s20,s21,s22,s23,s24,s67]) ).
cnf(s69,plain,
( spl0_11
| ~ spl0_5 ),
inference(rat,[],[s41,s12,s18]) ).
cnf(s70,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s41,s11,s17]) ).
cnf(s71,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s57,s47,s59,s70,s69,s67]) ).
cnf(s72,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s41,s10,s16]) ).
cnf(s73,plain,
( spl0_8
| ~ spl0_5 ),
inference(rat,[],[s41,s9,s15]) ).
cnf(s74,plain,
( ~ spl0_8
| ~ spl0_4
| ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s41,s8,s14,s71]) ).
cnf(s75,plain,
( ~ spl0_6
| ~ spl0_4
| spl0_1
| spl0_2 ),
inference(rat,[],[s74,s73,s72,s1,s67]) ).
cnf(s76,plain,
( ~ spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s75,s68]) ).
cnf(s77,plain,
spl0_4,
inference(rat,[],[s27,s2,s3,s4,s5,s6,s67]) ).
cnf(s78,plain,
spl0_6,
inference(rat,[],[s68,s77]) ).
cnf(s80,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s51,s17,s18]) ).
cnf(s81,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s51,s11,s12]) ).
cnf(s82,plain,
~ spl0_2,
inference(rat,[],[s42,s38,s36,s81,s80,s77,s78]) ).
cnf(s83,plain,
spl0_1,
inference(rat,[],[s76,s77,s82]) ).
cnf(s84,plain,
( ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s35,s8,s14,s63,s32,s47,s77,s67,s83]) ).
cnf(s85,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(rat,[],[s35,s38,s78,s77,s83]) ).
cnf(s86,plain,
spl0_9,
inference(rat,[],[s85,s10,s16]) ).
cnf(s87,plain,
~ spl0_8,
inference(rat,[],[s84,s86]) ).
cnf(s88,plain,
spl0_13,
inference(rat,[],[s15,s87]) ).
cnf(s89,plain,
spl0_12,
inference(rat,[],[s9,s87]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s85,s88,s89]) ).
fof(f454,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP299-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 09:48:34 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.79 % (2124897)Input is clausal, will run a generic CNF schedule.
% 0.39/0.79 % (2124903)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=583478502:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.39/0.79 % (2124905)lrs+10_1_sil=8000:sp=occurrence:random_seed=3074066353:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.39/0.79 % (2124905)Refutation not found, incomplete strategy
% 0.39/0.79 % (2124905)------------------------------
% 0.39/0.79 % (2124905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.39/0.79 % (2124905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.79 % (2124905)CaDiCaL version: 2.1.3
% 0.39/0.79 % (2124905)Termination reason: Refutation not found, incomplete strategy
% 0.39/0.79 % (2124905)Time elapsed: 0.002 s
% 0.39/0.79 % (2124905)Peak memory usage: 88 MB
% 0.39/0.79 % (2124905)Instructions burned: 4 (million)
% 0.39/0.79 % (2124904)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4292175379:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.39/0.79 % (2124902)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1652228459:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.39/0.79 % (2124908)dis-21_1_sil=8000:lcm=predicate:random_seed=317708809:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.39/0.79 % (2124906)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3855005339:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.39/0.79 % (2124907)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3326551569:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.39/0.79 % (2124908)Refutation not found, incomplete strategy
% 0.39/0.79 % (2124908)------------------------------
% 0.39/0.79 % (2124908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.39/0.79 % (2124908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.79 % (2124908)CaDiCaL version: 2.1.3
% 0.39/0.79 % (2124908)Termination reason: Refutation not found, incomplete strategy
% 0.39/0.79 % (2124908)Time elapsed: 0.001 s
% 0.39/0.79 % (2124908)Peak memory usage: 88 MB
% 0.39/0.79 % (2124908)Instructions burned: 1 (million)
% 0.39/0.79 % (2124907)First to succeed.
% 0.39/0.79 % (2124907)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2124897"
% 0.39/0.79 % (2124906)Instruction limit reached!
% 0.39/0.79 % (2124906)------------------------------
% 0.39/0.79 % (2124906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.39/0.79 % (2124906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.79 % (2124906)CaDiCaL version: 2.1.3
% 0.39/0.79 % (2124906)Termination reason: Instruction limit
% 0.39/0.79 % (2124906)Termination phase: Saturation
% 0.39/0.79 % (2124906)Time elapsed: 0.036 s
% 0.39/0.79 % (2124906)Peak memory usage: 89 MB
% 0.39/0.79 % (2124906)Instructions burned: 115 (million)
% 0.39/0.79 % (2124905)------------------------------
% 0.39/0.79 % (2124905)------------------------------
% 0.39/0.79 % (2124916)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1737740912:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.39/0.79 % (2124916)Also succeeded, but the first one will report.
% 0.39/0.79 % (2124908)------------------------------
% 0.39/0.79 % (2124908)------------------------------
% 0.39/0.79 % (2124907)Refutation found. Thanks to Tanya!
% 0.39/0.79 % SZS status Unsatisfiable for theBenchmark
% 0.39/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.89 % (2124907)------------------------------
% 2.13/0.89 % (2124907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/0.89 % (2124907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.89 % (2124907)CaDiCaL version: 2.1.3
% 2.13/0.89 % (2124907)Termination reason: Refutation
% 2.13/0.89 % (2124907)Time elapsed: 0.007 s
% 2.13/0.89 % (2124907)Peak memory usage: 89 MB
% 2.13/0.89 % (2124907)Instructions burned: 20 (million)
% 2.13/0.89 % (2124907)------------------------------
% 2.13/0.89 % (2124907)------------------------------
% 2.13/0.89 % (2124897)Success in time 0.279 s
% 2.13/0.89 % Vampire exiting
%------------------------------------------------------------------------------