%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP270-1 : 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 : n011.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 10:17:20 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 49
% Syntax : Number of formulae : 355 ( 23 unt; 20 def)
% Number of atoms : 1185 ( 310 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1592 ( 762 ~; 810 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 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_c7) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = inverse(sk_c2)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c7 = 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_c7) != sk_c5
| inverse(X1) != sk_c7
| 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_c5 != multiply(X1,sk_c7)
| sk_c7 != 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 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) )
| ~ 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 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2) )
| ~ 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_c5 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( ! [X1] :
( sk_c5 != multiply(X1,sk_c7)
| sk_c7 != 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(f79,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_8
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f84,plain,
( sk_c7 = 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_c5 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f105,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| ~ 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(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f134]) ).
fof(f141,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f94]) ).
fof(f143,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f140,f1]) ).
fof(f144,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,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f143,f80]) ).
fof(f156,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f141,f64]) ).
fof(f170,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f148,f94]) ).
fof(f179,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f144,f3]) ).
fof(f180,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f144,f144]) ).
fof(f181,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_11 ),
inference(superposition,[],[f144,f135]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_11 ),
inference(superposition,[],[f144,f148]) ).
fof(f184,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_9 ),
inference(superposition,[],[f144,f143]) ).
fof(f185,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f144,f64]) ).
fof(f199,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f181,f182]) ).
fof(f200,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f179,f180]) ).
fof(f208,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f139,f170]) ).
fof(f212,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f208,f153]) ).
fof(f218,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f144,f212]) ).
fof(f220,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f218,f3]) ).
fof(f231,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1,f220]) ).
fof(f234,plain,
( sk_c5 = multiply(inverse(sk_c3),multiply(sk_c7,sk_c7))
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f144,f156]) ).
fof(f237,plain,
( sk_c5 = multiply(inverse(sk_c3),sk_c6)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f234,f170]) ).
fof(f239,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f237,f99]) ).
fof(f240,plain,
( sk_c6 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f239,f231]) ).
fof(f241,plain,
( sk_c6 != multiply(sk_c7,sk_c6)
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f72,f240]) ).
fof(f245,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f156,f240]) ).
fof(f249,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f245,f170]) ).
fof(f251,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f241,f231]) ).
fof(f252,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f253,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f249,f94]) ).
fof(f254,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f68,f240]) ).
fof(f256,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,[],[f254,f253]) ).
fof(f260,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f256,f170]) ).
fof(f266,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f260,f253]) ).
fof(f276,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f134,f253]) ).
fof(f289,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f276,f231]) ).
fof(f294,plain,
( sk_c7 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f289,f220]) ).
fof(f362,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f89,f294]) ).
fof(f370,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f362,f253]) ).
fof(f375,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f370,f266]) ).
fof(f376,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f380,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f84]) ).
fof(f382,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f119]) ).
fof(f384,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f144,f71]) ).
fof(f386,plain,
( sk_c5 = multiply(sk_c3,sk_c6)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f384,f182]) ).
fof(f387,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f386,f94]) ).
fof(f390,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f156,f387]) ).
fof(f391,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f185,f387]) ).
fof(f392,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f391,f184]) ).
fof(f393,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f390,f170]) ).
fof(f395,plain,
( sk_c6 != multiply(sk_c4,sk_c7)
| ~ spl0_5
| spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f79,f387]) ).
fof(f396,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f395,f392]) ).
fof(f402,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f144,f128]) ).
fof(f404,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f402,f119]) ).
fof(f411,plain,
( sk_c5 != sk_c5
| sk_c7 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f68,f105]) ).
fof(f412,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f411]) ).
fof(f414,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f412,f84]) ).
fof(f415,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f427,definition,
( spl0_16
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f428,plain,
( identity = sk_c7
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f429,plain,
( identity != sk_c7
| spl0_16 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f431,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c6 != inverse(X3) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f58,f387]) ).
fof(f433,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl0_8 ),
inference(superposition,[],[f144,f380]) ).
fof(f436,plain,
( sk_c2 = multiply(sk_c3,identity)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f433,f182]) ).
fof(f438,plain,
( sk_c3 = sk_c2
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f436,f199]) ).
fof(f447,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f431,f105]) ).
fof(f450,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f447,f387]) ).
fof(f455,plain,
( sk_c5 = multiply(sk_c3,sk_c7)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f105,f438]) ).
fof(f457,plain,
( sk_c6 = sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f455,f393]) ).
fof(f458,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f457,f387]) ).
fof(f459,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f458,f396]) ).
fof(f460,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f464,plain,
( sk_c7 != sk_c6
| sk_c7 != sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f450,f84]) ).
fof(f465,plain,
( sk_c7 != sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f464]) ).
fof(f471,definition,
( spl0_18
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f472,plain,
( sk_c7 = sk_c6
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( sk_c7 != sk_c6
| spl0_18 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f476,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f458,f103,f97,f92,f82,f70,f63,f471]) ).
fof(f478,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f465,f103,f97,f92,f82,f70,f57,f471]) ).
fof(f493,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f61,f3]) ).
fof(f494,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f61,f94]) ).
fof(f495,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f494]) ).
fof(f496,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f495,f99]) ).
fof(f497,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f535,plain,
( sk_c2 = inverse(sk_c7)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f433,f200]) ).
fof(f538,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f3,f535]) ).
fof(f539,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f538,f105]) ).
fof(f540,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(identity)
| ~ spl0_6 ),
inference(superposition,[],[f75,f1]) ).
fof(f543,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f75,f128]) ).
fof(f546,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f543]) ).
fof(f549,definition,
( spl0_19
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f550,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f551,plain,
( sk_c7 != inverse(sk_c6)
| spl0_19 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f553,definition,
( spl0_20
<=> sk_c6 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f554,plain,
( sk_c6 = sk_c5
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f557,plain,
( $false
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f546,f119]) ).
fof(f558,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f564,plain,
( sk_c7 != sk_c5
| sk_c7 != inverse(inverse(sk_c6))
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f493,f539]) ).
fof(f566,definition,
( spl0_21
<=> sk_c7 = inverse(inverse(sk_c6)) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f568,plain,
( sk_c7 != inverse(inverse(sk_c6))
| spl0_21 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f570,definition,
( spl0_22
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f571,plain,
( sk_c7 = sk_c5
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f573,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f564,f103,f82,f60,f570,f566]) ).
fof(f574,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f1,f539]) ).
fof(f580,plain,
( multiply(sk_c6,identity) = multiply(sk_c5,sk_c1)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f139,f382]) ).
fof(f581,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_13 ),
inference(superposition,[],[f144,f382]) ).
fof(f584,plain,
( sk_c1 = inverse(sk_c7)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f581,f200]) ).
fof(f585,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f580,f574]) ).
fof(f586,plain,
( sk_c1 = sk_c6
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f585,f200]) ).
fof(f587,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f382,f586]) ).
fof(f591,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f587,f404]) ).
fof(f592,plain,
( spl0_16
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f591,f126,f117,f103,f82,f63,f427]) ).
fof(f594,plain,
( sk_c7 = sk_c5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f539,f428]) ).
fof(f596,plain,
( spl0_22
| ~ spl0_8
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f594,f427,f103,f82,f570]) ).
fof(f597,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_22 ),
inference(superposition,[],[f71,f571]) ).
fof(f624,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_18
| spl0_21 ),
inference(superposition,[],[f568,f472]) ).
fof(f625,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_18
| spl0_21 ),
inference(forward_demodulation,[],[f624,f535]) ).
fof(f630,plain,
( $false
| ~ spl0_8
| ~ spl0_18
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f625,f84]) ).
fof(f631,plain,
( ~ spl0_8
| ~ spl0_18
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f634,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) )
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f58,f472]) ).
fof(f636,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f634,f571]) ).
fof(f637,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f636,f472]) ).
fof(f647,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f637,f3]) ).
fof(f649,plain,
( sk_c7 != sk_c5
| sk_c7 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f637,f64]) ).
fof(f653,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f649,f571]) ).
fof(f655,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f647,f428]) ).
fof(f659,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f653,f550]) ).
fof(f660,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f663,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f655,f535]) ).
fof(f665,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f663,f84]) ).
fof(f666,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f669,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f65,f472]) ).
fof(f684,plain,
( sk_c1 = sk_c2
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f535,f584]) ).
fof(f686,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f3,f584]) ).
fof(f687,plain,
( identity = sk_c6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f686,f128]) ).
fof(f688,plain,
( identity = sk_c7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f687,f472]) ).
fof(f689,plain,
( spl0_16
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f688,f471,f126,f117,f427]) ).
fof(f694,plain,
( multiply(sk_c1,sk_c7) = sk_c5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f105,f684]) ).
fof(f696,plain,
( sk_c6 = sk_c5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f694,f128]) ).
fof(f697,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f696,f126,f117,f103,f82,f553]) ).
fof(f698,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_20 ),
inference(superposition,[],[f71,f554]) ).
fof(f702,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f698,f404]) ).
fof(f703,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f702,f473]) ).
fof(f704,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f707,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| spl0_3
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f669,f554]) ).
fof(f708,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f597,f472]) ).
fof(f709,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| spl0_3
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f707,f472]) ).
fof(f710,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f709,f708]) ).
fof(f711,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f740,plain,
( sk_c7 != inverse(identity)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f540,f472]) ).
fof(f743,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f89,f294]) ).
fof(f746,plain,
( spl0_22
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f387,f97,f92,f70,f570]) ).
fof(f752,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_18
| spl0_19 ),
inference(forward_demodulation,[],[f551,f472]) ).
fof(f777,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f740,f428]) ).
fof(f779,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f743,f370]) ).
fof(f784,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f752,f370]) ).
fof(f785,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f798,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f777,f370]) ).
fof(f799,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f836,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f779,f473]) ).
fof(f837,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f839,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f220,f429]) ).
fof(f840,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f839]) ).
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,[],[f252]) ).
cnf(s28,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f376]) ).
cnf(s29,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f415]) ).
cnf(s31,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f460]) ).
cnf(s34,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f476]) ).
cnf(s36,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f478]) ).
cnf(s37,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f497]) ).
cnf(s43,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f558]) ).
cnf(s46,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f573]) ).
cnf(s48,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f592]) ).
cnf(s49,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_16
| spl0_22 ),
inference(sat_conversion,[],[f596]) ).
cnf(s52,plain,
( ~ spl0_8
| ~ spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f631]) ).
cnf(s54,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f660]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(sat_conversion,[],[f666]) ).
cnf(s59,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f689]) ).
cnf(s60,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f697]) ).
cnf(s61,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f704]) ).
cnf(s65,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f711]) ).
cnf(s69,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_22 ),
inference(sat_conversion,[],[f746]) ).
cnf(s79,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f785]) ).
cnf(s83,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f799]) ).
cnf(s94,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f837]) ).
cnf(s95,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f840]) ).
cnf(s98,plain,
spl0_3,
inference(rat,[],[s49,s65,s59,s61,s60,s6,s11,s16,s21,s26]) ).
cnf(s99,plain,
( spl0_7
| ~ spl0_6 ),
inference(rat,[],[s43,s17,s22]) ).
cnf(s100,plain,
( spl0_14
| ~ spl0_6 ),
inference(rat,[],[s83,s94,s95,s23,s24,s25,s99,s98]) ).
cnf(s101,plain,
~ spl0_6,
inference(rat,[],[s83,s94,s95,s18,s19,s20,s43,s100,s99,s98]) ).
cnf(s102,plain,
spl0_5,
inference(rat,[],[s27,s12,s13,s14,s15,s98]) ).
cnf(s104,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s29,s5,s10]) ).
cnf(s105,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s29,s4,s9]) ).
cnf(s106,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s29,s3,s8]) ).
cnf(s107,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s31,s2,s7,s28,s102,s98]) ).
cnf(s108,plain,
~ spl0_4,
inference(rat,[],[s107,s106,s105,s104]) ).
cnf(s109,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s46,s52,s49,s61,s48,s60,s5,s10,s20,s25,s102,s98]) ).
cnf(s110,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s46,s52,s49,s61,s48,s60,s4,s9,s19,s24,s37,s98,s102]) ).
cnf(s111,plain,
~ spl0_2,
inference(rat,[],[s110,s109]) ).
cnf(s112,plain,
spl0_1,
inference(rat,[],[s1,s101,s102,s98,s108,s111]) ).
cnf(s113,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_8
| ~ spl0_14 ),
inference(rat,[],[s56,s49,s61,s48,s60,s98,s102,s112]) ).
cnf(s114,plain,
spl0_11,
inference(rat,[],[s113,s5,s10,s20,s25]) ).
cnf(s115,plain,
( ~ spl0_12
| ~ spl0_8
| ~ spl0_10 ),
inference(rat,[],[s34,s36,s112,s114,s102,s98]) ).
cnf(s116,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(rat,[],[s56,s94,s95,s7,s8,s115,s69,s112,s98,s114,s102]) ).
cnf(s117,plain,
~ spl0_10,
inference(rat,[],[s54,s79,s94,s2,s3,s116,s69,s98,s112,s114,s102]) ).
cnf(s118,plain,
spl0_14,
inference(rat,[],[s24,s117]) ).
cnf(s119,plain,
spl0_13,
inference(rat,[],[s19,s117]) ).
cnf(s120,plain,
spl0_12,
inference(rat,[],[s9,s117]) ).
cnf(s121,plain,
spl0_8,
inference(rat,[],[s4,s117]) ).
cnf(s122,plain,
$false,
inference(rat,[],[s113,s120,s121,s118,s119]) ).
fof(f864,plain,
$false,
inference(avatar_sat_refutation,[],[s122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP270-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:43:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.49 % (2158958)Will run a generic schedule for satisfiability detection.
% 0.16/0.49 % (2158965)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1446763667:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.49 % (2158964)% WARNING: option uhcvi not known.
% 0.16/0.49 % (2158963)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3738188519_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.49 % (2158964)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1141451762:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.49 % (2158968)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=415253175:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.49 % (2158966)dis+10_1_sil=32000:sp=arity:random_seed=3023426928:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.49 % (2158967)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3935437755:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.49 % (2158969)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1616451191:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.49 % TRYING [1]
% 0.16/0.49 % TRYING [2]
% 0.16/0.49 % TRYING [3]
% 0.16/0.49 % TRYING [4]
% 0.16/0.49 % (2158967) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2158958-2158967"...
% 0.16/0.49 % TRYING [5]
% 0.16/0.49 % (2158966) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2158958-2158966"...
% 0.16/0.49 % (2158968) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2158958-2158968"...
% 0.16/0.49 % (2158967)...printing done.
% 0.16/0.49 % (2158967)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (2158967)------------------------------
% 0.16/0.49 % (2158967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.49 % (2158967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.49 % (2158967)CaDiCaL version: 2.1.3
% 0.16/0.49 % (2158967)Termination reason: Refutation
% 0.16/0.49 % (2158967)Time elapsed: 0.018 s
% 0.16/0.49 % (2158967)Peak memory usage: 12 MB
% 0.16/0.49 % (2158967)Instructions burned: 28 (million)
% 0.16/0.49 % (2158958)Success in time 0.06 s
% 0.16/0.49 % Vampire exiting
%------------------------------------------------------------------------------