%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP274-1 : 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 : n016.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 10:17:21 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 51
% Syntax : Number of formulae : 359 ( 20 unt; 22 def)
% Number of atoms : 1204 ( 309 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1626 ( 781 ~; 823 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 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_c1,sk_c7) = sk_c6
| 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_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c7 = inverse(sk_c1)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c5 = inverse(sk_c2)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c2) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c5 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c5 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c2) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c5 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(X1,sk_c5) != sk_c7
| inverse(X1) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X2) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| inverse(X3) != sk_c6
| multiply(X3,sk_c5) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(X1,sk_c5)
| sk_c5 != inverse(X1)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ),
inference(reorient_equations,[],[f54]) ).
fof(f57,definition,
( spl0_1
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f58,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c5)
| sk_c6 != inverse(X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f61,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_3
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c5)
| sk_c5 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c5)
| sk_c5 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl0_5
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f71,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f72,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl0_6
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f55,f74,f70,f67,f63,f60,f57]) ).
fof(f78,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f80,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_8
<=> sk_c5 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f84,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f53,f82,f78]) ).
fof(f87,definition,
( spl0_9
<=> sk_c6 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f89,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f51,f82,f87]) ).
fof(f92,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f94,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f49,f82,f92]) ).
fof(f97,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f99,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f47,f82,f97]) ).
fof(f101,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f82,f63]) ).
fof(f103,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c2,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f105,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f43,f103,f78]) ).
fof(f107,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f41,f103,f87]) ).
fof(f108,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f39,f103,f92]) ).
fof(f109,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f37,f103,f97]) ).
fof(f110,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f35,f103,f63]) ).
fof(f111,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f33,f70,f78]) ).
fof(f112,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f70,f87]) ).
fof(f113,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f29,f70,f92]) ).
fof(f114,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f70,f97]) ).
fof(f115,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f70,f63]) ).
fof(f117,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f119,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f117,f78]) ).
fof(f121,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f117,f87]) ).
fof(f122,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f19,f117,f92]) ).
fof(f123,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f17,f117,f97]) ).
fof(f124,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f15,f117,f63]) ).
fof(f126,definition,
( spl0_14
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f128,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f13,f126,f78]) ).
fof(f130,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f11,f126,f87]) ).
fof(f131,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f9,f126,f92]) ).
fof(f132,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f7,f126,f97]) ).
fof(f133,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f5,f126,f63]) ).
fof(f134,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_9 ),
inference(superposition,[],[f3,f89]) ).
fof(f135,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f99]) ).
fof(f138,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f139,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_3 ),
inference(superposition,[],[f4,f64]) ).
fof(f140,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f94]) ).
fof(f141,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f80]) ).
fof(f142,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f138,f1]) ).
fof(f147,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f135]) ).
fof(f148,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f147,f1]) ).
fof(f153,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f140,f64]) ).
fof(f154,plain,
( multiply(sk_c7,sk_c4) = multiply(sk_c3,identity)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f140,f134]) ).
fof(f173,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_11 ),
inference(superposition,[],[f142,f135]) ).
fof(f175,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_9 ),
inference(superposition,[],[f142,f134]) ).
fof(f176,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
| ~ spl0_3 ),
inference(superposition,[],[f142,f139]) ).
fof(f178,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f142,f94]) ).
fof(f180,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f142,f80]) ).
fof(f185,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f180,f89]) ).
fof(f187,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f178,f99]) ).
fof(f191,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f139,f187]) ).
fof(f194,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f191,f185]) ).
fof(f214,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c5)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f141,f194]) ).
fof(f217,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f214,f80]) ).
fof(f218,plain,
( sk_c6 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f217,f64]) ).
fof(f220,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f140,f217]) ).
fof(f223,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f220,f187]) ).
fof(f224,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f223,f94]) ).
fof(f238,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f175,f224]) ).
fof(f242,plain,
( sk_c3 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f238,f173]) ).
fof(f263,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f154,f242]) ).
fof(f264,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f263,f135]) ).
fof(f265,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f148,f264]) ).
fof(f271,plain,
( identity = multiply(inverse(sk_c7),identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f142,f265]) ).
fof(f274,plain,
( identity = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f271,f173]) ).
fof(f305,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f176,f218]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f305,f142]) ).
fof(f314,plain,
( sk_c6 != sk_c5
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f72,f306]) ).
fof(f318,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f314,f218]) ).
fof(f319,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f322,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c5 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f68,f218]) ).
fof(f324,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c7)
| sk_c5 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f322,f224]) ).
fof(f325,plain,
( ! [X1] :
( sk_c6 != inverse(X1)
| sk_c7 != multiply(X1,sk_c7) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f324,f218]) ).
fof(f326,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f325,f224]) ).
fof(f327,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f326,f1]) ).
fof(f338,plain,
( sk_c7 != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f327]) ).
fof(f346,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f338,f274]) ).
fof(f355,definition,
( spl0_16
<=> sk_c7 = sk_c3 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f356,plain,
( sk_c7 = sk_c3
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f359,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f346,f99]) ).
fof(f360,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f364,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f153,f187]) ).
fof(f366,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f84]) ).
fof(f368,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f119]) ).
fof(f370,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f142,f71]) ).
fof(f371,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f71]) ).
fof(f372,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f142,f105]) ).
fof(f373,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c5,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f105]) ).
fof(f374,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f372,f84]) ).
fof(f375,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f142,f128]) ).
fof(f377,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f375,f119]) ).
fof(f383,plain,
( sk_c7 != sk_c7
| sk_c5 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f68,f105]) ).
fof(f384,plain,
( sk_c5 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f383]) ).
fof(f386,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f384,f84]) ).
fof(f387,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f393,definition,
( spl0_18
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f394,plain,
( sk_c7 = sk_c6
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f395,plain,
( sk_c7 != sk_c6
| spl0_18 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f402,definition,
( spl0_20
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f403,plain,
( identity = sk_c7
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f411,definition,
( spl0_22
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f412,plain,
( sk_c7 = sk_c5
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f420,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f58,f105]) ).
fof(f423,definition,
( spl0_23
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f425,plain,
( sk_c6 != inverse(sk_c2)
| spl0_23 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f426,plain,
( ~ spl0_23
| ~ spl0_18
| ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f420,f103,f57,f393,f423]) ).
fof(f446,definition,
( spl0_28
<=> sk_c6 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f447,plain,
( sk_c6 = sk_c5
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f448,plain,
( sk_c6 != sk_c5
| spl0_28 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f454,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_13 ),
inference(superposition,[],[f142,f368]) ).
fof(f458,plain,
( multiply(sk_c7,identity) = multiply(sk_c6,sk_c2)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f371,f366]) ).
fof(f466,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c2),multiply(sk_c7,X0))
| ~ spl0_12 ),
inference(superposition,[],[f142,f373]) ).
fof(f469,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f466,f84]) ).
fof(f516,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f58,f364]) ).
fof(f519,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f516]) ).
fof(f521,plain,
( sk_c7 != sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f519,f99]) ).
fof(f522,plain,
( multiply(sk_c2,sk_c5) = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f373,f374]) ).
fof(f527,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f522,f187]) ).
fof(f528,plain,
( sk_c7 = sk_c6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f527,f105]) ).
fof(f531,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f521,f97,f92,f63,f57,f393]) ).
fof(f532,plain,
( spl0_18
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f528,f103,f97,f92,f82,f393]) ).
fof(f540,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_9
| ~ spl0_18 ),
inference(superposition,[],[f175,f394]) ).
fof(f541,plain,
( sk_c3 = sk_c4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f540,f173]) ).
fof(f545,plain,
( sk_c7 = sk_c5
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_demodulation,[],[f447,f394]) ).
fof(f547,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f545,f446,f393,f411]) ).
fof(f549,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f75,f394]) ).
fof(f550,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(identity)
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f549,f1]) ).
fof(f553,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f549,f128]) ).
fof(f554,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c7)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f549,f187]) ).
fof(f564,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f554,f394]) ).
fof(f565,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f553,f394]) ).
fof(f568,definition,
( spl0_31
<=> sk_c7 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f572,plain,
( ~ spl0_31
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f564,f393,f97,f92,f74,f568]) ).
fof(f573,plain,
( $false
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f565,f119]) ).
fof(f574,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f573]) ).
fof(f575,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[],[f61,f394]) ).
fof(f577,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f575,f99]) ).
fof(f579,plain,
( sk_c7 != sk_c5
| sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_18 ),
inference(superposition,[],[f575,f84]) ).
fof(f583,definition,
( spl0_32
<=> sk_c7 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f586,plain,
( ~ spl0_32
| ~ spl0_22
| ~ spl0_2
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f579,f393,f82,f60,f411,f583]) ).
fof(f590,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl0_12
| ~ spl0_22 ),
inference(superposition,[],[f105,f412]) ).
fof(f594,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f366,f412]) ).
fof(f604,plain,
( spl0_32
| ~ spl0_12
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f590,f411,f103,f583]) ).
fof(f625,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f65,f394]) ).
fof(f636,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f377,f394]) ).
fof(f663,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f370,f394]) ).
fof(f668,plain,
( sk_c1 = sk_c3
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f454,f173]) ).
fof(f673,plain,
( identity = sk_c5
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f663,f3]) ).
fof(f697,plain,
( multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c4)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f154,f673]) ).
fof(f698,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c3,sk_c5)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f697,f541]) ).
fof(f699,plain,
( multiply(sk_c7,sk_c1) = multiply(sk_c1,sk_c5)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f698,f668]) ).
fof(f700,plain,
( identity = multiply(sk_c1,sk_c5)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f699,f368]) ).
fof(f701,plain,
( sk_c5 = multiply(sk_c1,sk_c5)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f700,f673]) ).
fof(f702,plain,
( sk_c5 = multiply(inverse(sk_c1),sk_c5)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f142,f701]) ).
fof(f704,plain,
( sk_c5 = multiply(sk_c7,sk_c5)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f702,f119]) ).
fof(f705,plain,
( sk_c6 = sk_c5
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f704,f71]) ).
fof(f706,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f705,f394]) ).
fof(f728,plain,
( multiply(sk_c7,identity) = multiply(sk_c7,sk_c2)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f458,f394]) ).
fof(f729,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c7,sk_c2)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f728,f673]) ).
fof(f730,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f729,f71]) ).
fof(f731,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f730,f394]) ).
fof(f758,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f594,f731]) ).
fof(f774,plain,
( sk_c7 != sk_c5
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f625,f636]) ).
fof(f776,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f758,f411,f393,f82,f70,f402]) ).
fof(f780,plain,
( ~ spl0_22
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f774,f393,f126,f117,f63,f411]) ).
fof(f797,plain,
( sk_c6 != sk_c5
| ~ spl0_8
| spl0_23 ),
inference(superposition,[],[f425,f84]) ).
fof(f839,plain,
( ~ spl0_28
| ~ spl0_8
| spl0_23 ),
inference(avatar_split_clause,[],[f797,f423,f82,f446]) ).
fof(f877,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c5),multiply(sk_c5,X0))
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f142,f469]) ).
fof(f880,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f877,f142]) ).
fof(f1133,plain,
( sk_c7 = sk_c6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f880,f377]) ).
fof(f1134,plain,
( sk_c6 = sk_c5
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f880,f71]) ).
fof(f1155,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1134,f448]) ).
fof(f1156,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1157,plain,
( $false
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1133,f395]) ).
fof(f1158,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f1157]) ).
fof(f1160,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f218,f97,f92,f87,f78,f63,f446]) ).
fof(f1163,plain,
( sk_c1 = sk_c3
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f173,f454]) ).
fof(f1167,plain,
( spl0_22
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f706,f393,f117,f97,f92,f87,f70,f411]) ).
fof(f1169,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f224,f97,f92,f87,f78,f63,f393]) ).
fof(f1189,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f64,f394]) ).
fof(f1238,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f673,f412]) ).
fof(f1265,plain,
( identity = sk_c1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f274,f1163]) ).
fof(f1266,plain,
( sk_c1 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1265,f403]) ).
fof(f1268,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f119,f1266]) ).
fof(f1273,plain,
( spl0_31
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1268,f402,f117,f97,f92,f87,f78,f63,f568]) ).
fof(f1317,plain,
( sk_c7 != inverse(identity)
| ~ spl0_6
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f550]) ).
fof(f1319,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1317,f403]) ).
fof(f1333,plain,
( sk_c7 = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f274,f403]) ).
fof(f1334,plain,
( ~ spl0_31
| ~ spl0_6
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1319,f402,f393,f74,f568]) ).
fof(f1340,plain,
( spl0_16
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1333,f402,f97,f92,f87,f78,f63,f355]) ).
fof(f1363,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f99,f356]) ).
fof(f1370,plain,
( spl0_31
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1363,f355,f97,f568]) ).
fof(f1373,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f577]) ).
fof(f1378,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1373,f356]) ).
fof(f1431,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f1378,f1189]) ).
fof(f1432,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1431,f412]) ).
fof(f1433,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1432]) ).
fof(f1453,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1238,f411,f393,f70,f402]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f76]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f85]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f90]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f95]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f100]) ).
cnf(s6,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f101]) ).
cnf(s7,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f106]) ).
cnf(s8,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f107]) ).
cnf(s9,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s10,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s11,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s12,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f111]) ).
cnf(s13,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f112]) ).
cnf(s14,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f113]) ).
cnf(s15,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f114]) ).
cnf(s16,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f115]) ).
cnf(s17,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s18,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s19,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s20,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s21,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f124]) ).
cnf(s22,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s23,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f130]) ).
cnf(s24,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s25,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f132]) ).
cnf(s26,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f319]) ).
cnf(s30,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f360]) ).
cnf(s31,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f387]) ).
cnf(s35,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f426]) ).
cnf(s41,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(sat_conversion,[],[f531]) ).
cnf(s42,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f532]) ).
cnf(s44,plain,
( ~ spl0_18
| spl0_22
| ~ spl0_28 ),
inference(sat_conversion,[],[f547]) ).
cnf(s49,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_31 ),
inference(sat_conversion,[],[f572]) ).
cnf(s50,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f574]) ).
cnf(s51,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22
| ~ spl0_32 ),
inference(sat_conversion,[],[f586]) ).
cnf(s52,plain,
( ~ spl0_12
| ~ spl0_22
| spl0_32 ),
inference(sat_conversion,[],[f604]) ).
cnf(s71,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_18
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f776]) ).
cnf(s74,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_22 ),
inference(sat_conversion,[],[f780]) ).
cnf(s79,plain,
( ~ spl0_8
| spl0_23
| ~ spl0_28 ),
inference(sat_conversion,[],[f839]) ).
cnf(s82,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| spl0_28 ),
inference(sat_conversion,[],[f1156]) ).
cnf(s83,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f1158]) ).
cnf(s84,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_28 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s88,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f1167]) ).
cnf(s91,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s92,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_20
| spl0_31 ),
inference(sat_conversion,[],[f1273]) ).
cnf(s99,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_20
| ~ spl0_31 ),
inference(sat_conversion,[],[f1334]) ).
cnf(s104,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f1340]) ).
cnf(s119,plain,
( ~ spl0_11
| ~ spl0_16
| spl0_31 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s126,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(sat_conversion,[],[f1433]) ).
cnf(s143,plain,
( ~ spl0_5
| ~ spl0_18
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f1453]) ).
cnf(s153,plain,
spl0_3,
inference(rat,[],[s74,s44,s82,s83,s6,s11,s16,s21,s26]) ).
cnf(s154,plain,
( spl0_7
| ~ spl0_6 ),
inference(rat,[],[s83,s50,s2,s7,s17,s22]) ).
cnf(s155,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s83,s50]) ).
cnf(s156,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_8
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s92,s99,s71,s88,s42,s23,s24,s25,s155,s154,s153]) ).
cnf(s157,plain,
( ~ spl0_12
| ~ spl0_8
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s119,s104,s99,s71,s44,s42,s18,s19,s20,s156,s82,s154,s153]) ).
cnf(s158,plain,
( ~ spl0_8
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s119,s104,s99,s71,s44,s84,s91,s8,s9,s10,s157,s154,s153]) ).
cnf(s159,plain,
( ~ spl0_5
| spl0_4
| spl0_1
| spl0_2 ),
inference(rat,[],[s104,s119,s143,s49,s44,s84,s91,s3,s4,s5,s158,s154,s1,s153]) ).
cnf(s160,plain,
spl0_5,
inference(rat,[],[s27,s12,s13,s14,s15,s153]) ).
cnf(s162,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s30,s7,s8,s9,s10,s153]) ).
cnf(s163,plain,
( ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s30,s2,s3,s4,s5,s31,s153]) ).
cnf(s164,plain,
~ spl0_4,
inference(rat,[],[s163,s162]) ).
cnf(s165,plain,
( spl0_9
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s51,s52,s44,s82,s83,s8,s18,s23,s160]) ).
cnf(s166,plain,
( ~ spl0_18
| ~ spl0_12
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s51,s52,s44,s82,s160]) ).
cnf(s167,plain,
( spl0_10
| spl0_18
| ~ spl0_12
| ~ spl0_8 ),
inference(rat,[],[s83,s19,s24]) ).
cnf(s168,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_8
| spl0_18 ),
inference(rat,[],[s83,s20,s25,s42]) ).
cnf(s169,plain,
( spl0_18
| ~ spl0_12
| ~ spl0_8 ),
inference(rat,[],[s168,s167]) ).
cnf(s170,plain,
( ~ spl0_12
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s169,s166]) ).
cnf(s171,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s104,s126,s71,s44,s84,s91,s165,s10,s9,s170,s153,s160]) ).
cnf(s172,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s7,s171,s170]) ).
cnf(s173,plain,
~ spl0_2,
inference(rat,[],[s104,s143,s126,s44,s84,s91,s2,s3,s4,s5,s172,s153,s160]) ).
cnf(s174,plain,
spl0_1,
inference(rat,[],[s159,s160,s164,s173]) ).
cnf(s175,plain,
( ~ spl0_12
| ~ spl0_8 ),
inference(rat,[],[s35,s79,s169,s82,s160,s174]) ).
cnf(s176,plain,
spl0_12,
inference(rat,[],[s91,s41,s7,s8,s9,s10,s153,s174]) ).
cnf(s177,plain,
~ spl0_8,
inference(rat,[],[s175,s176]) ).
cnf(s178,plain,
spl0_11,
inference(rat,[],[s5,s177]) ).
cnf(s179,plain,
spl0_10,
inference(rat,[],[s4,s177]) ).
cnf(s180,plain,
spl0_9,
inference(rat,[],[s3,s177]) ).
cnf(s181,plain,
spl0_7,
inference(rat,[],[s2,s177]) ).
cnf(s182,plain,
~ spl0_18,
inference(rat,[],[s41,s174,s153,s178,s179]) ).
cnf(s183,plain,
$false,
inference(rat,[],[s91,s180,s178,s181,s153,s182,s179]) ).
fof(f1457,plain,
$false,
inference(avatar_sat_refutation,[],[s183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP274-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n016.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 09:49:02 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 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
% 0.14/0.47 % (2380901)Will run a generic schedule for satisfiability detection.
% 0.14/0.47 % (2380907)% WARNING: option uhcvi not known.
% 0.14/0.47 % (2380907)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=147330813:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.47 % (2380906)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3555846399_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.47 % (2380908)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3957366130:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.47 % (2380911)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3188421378:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.47 % (2380909)dis+10_1_sil=32000:sp=arity:random_seed=2056699001:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.47 % (2380910)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=227172772:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.47 % (2380912)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2530187286:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.47 % TRYING [1]
% 0.14/0.47 % TRYING [2]
% 0.14/0.47 % TRYING [3]
% 0.14/0.47 % TRYING [4]
% 0.14/0.47 % (2380907) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2380901-2380907"...
% 0.14/0.47 % (2380907)...printing done.
% 0.14/0.47 % (2380907)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48 % (2380907)------------------------------
% 0.14/0.48 % (2380907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.48 % (2380907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.48 % (2380907)CaDiCaL version: 2.1.3
% 0.14/0.48 % (2380907)Termination reason: Refutation
% 0.14/0.48 % (2380907)Time elapsed: 0.020 s
% 0.14/0.48 % (2380907)Peak memory usage: 13 MB
% 0.14/0.48 % (2380907)Instructions burned: 56 (million)
% 0.14/0.48 % (2380901)Success in time 0.05 s
% 0.14/0.48 % Vampire exiting
%------------------------------------------------------------------------------