%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP387-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 10:17:40 AM UTC 2026
% Result : Unsatisfiable 0.37s 0.47s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 48
% Syntax : Number of formulae : 341 ( 23 unt; 18 def)
% Number of atoms : 1182 ( 324 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1617 ( 776 ~; 823 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c7) = sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c7) = sk_c6
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c7) = sk_c6
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c7) = sk_c6
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| multiply(sk_c3,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c3,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = inverse(sk_c1)
| multiply(sk_c3,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f46]) ).
fof(f52,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| multiply(sk_c3,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f58]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1] :
( inverse(sk_c7) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| multiply(X2,sk_c6) != sk_c5
| inverse(X2) != sk_c6
| inverse(X3) != sk_c5
| multiply(X3,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( inverse(sk_c7) != sk_c6
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(sk_c7,sk_c5)
| inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6)
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c5 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2)
| sk_c5 != inverse(X3)
| sk_c5 != multiply(X3,sk_c7) ),
inference(reorient_equations,[],[f64]) ).
fof(f67,definition,
( spl0_1
<=> ! [X3] :
( sk_c5 != inverse(X3)
| sk_c5 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f68,plain,
( ! [X3] :
( sk_c5 != multiply(X3,sk_c7)
| sk_c5 != inverse(X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl0_2
<=> ! [X2] :
( sk_c5 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f71,plain,
( ! [X2] :
( sk_c5 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_3
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f74,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_4
<=> ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f77,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c7 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl0_5
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f80,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_5 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl0_6
<=> sk_c7 = multiply(sk_c6,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f84,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f85,plain,
( sk_c7 != multiply(sk_c6,sk_c5)
| spl0_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl0_7
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f88,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( inverse(sk_c7) != sk_c6
| spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f65,f87,f83,f79,f76,f73,f70,f67]) ).
fof(f92,definition,
( spl0_8
<=> sk_c5 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f94,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f98,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f101,definition,
( spl0_10
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f103,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f106,definition,
( spl0_11
<=> sk_c6 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f108,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f59,f96,f106]) ).
fof(f111,definition,
( spl0_12
<=> multiply(sk_c3,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f113,plain,
( multiply(sk_c3,sk_c6) = sk_c5
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f57,f96,f111]) ).
fof(f116,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f118,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f55,f96,f116]) ).
fof(f121,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f122,plain,
( sk_c6 != multiply(sk_c2,sk_c7)
| spl0_14 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f53,f96,f121]) ).
fof(f126,definition,
( spl0_15
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f128,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f131,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f47,f126,f106]) ).
fof(f132,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f45,f126,f111]) ).
fof(f133,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f43,f126,f116]) ).
fof(f134,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f41,f126,f121]) ).
fof(f135,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f39,f79,f92]) ).
fof(f136,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f37,f79,f101]) ).
fof(f137,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f79,f106]) ).
fof(f138,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f33,f79,f111]) ).
fof(f139,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f79,f116]) ).
fof(f140,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f29,f79,f121]) ).
fof(f141,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f27,f83,f92]) ).
fof(f142,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f25,f83,f101]) ).
fof(f143,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f83,f106]) ).
fof(f144,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f21,f83,f111]) ).
fof(f145,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f83,f116]) ).
fof(f146,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f17,f83,f121]) ).
fof(f147,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f87,f92]) ).
fof(f148,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f13,f87,f101]) ).
fof(f149,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f11,f87,f106]) ).
fof(f150,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f87,f111]) ).
fof(f151,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f87,f116]) ).
fof(f152,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f87,f121]) ).
fof(f153,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f103]) ).
fof(f154,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f108]) ).
fof(f155,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_13 ),
inference(superposition,[],[f3,f118]) ).
fof(f158,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f160,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| ~ spl0_12 ),
inference(superposition,[],[f4,f113]) ).
fof(f162,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f158,f1]) ).
fof(f165,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f153]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f167,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f154]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f167,f1]) ).
fof(f175,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f166,f94]) ).
fof(f188,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f168,f113]) ).
fof(f198,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f162,f3]) ).
fof(f199,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f162,f162]) ).
fof(f200,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl0_13 ),
inference(superposition,[],[f162,f155]) ).
fof(f201,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_11 ),
inference(superposition,[],[f162,f154]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_11 ),
inference(superposition,[],[f162,f168]) ).
fof(f203,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f162,f123]) ).
fof(f220,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f203,f118]) ).
fof(f221,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f201,f202]) ).
fof(f222,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f198,f199]) ).
fof(f228,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f162,f220]) ).
fof(f230,plain,
( identity = sk_c6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f228,f3]) ).
fof(f234,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1,f230]) ).
fof(f235,plain,
( sk_c3 = multiply(sk_c3,sk_c6)
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f221,f230]) ).
fof(f239,plain,
( sk_c3 = sk_c5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f235,f113]) ).
fof(f240,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f108,f239]) ).
fof(f244,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f168,f239]) ).
fof(f246,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f244,f234]) ).
fof(f250,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f200]) ).
fof(f251,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f265,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c5,sk_c5)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f160,f188]) ).
fof(f266,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f162,f188]) ).
fof(f268,plain,
( identity = sk_c5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f266,f3]) ).
fof(f269,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f265,f175]) ).
fof(f270,plain,
( sk_c6 = sk_c5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f268,f230]) ).
fof(f271,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f269,f239]) ).
fof(f272,plain,
( sk_c7 = sk_c6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f271,f246]) ).
fof(f284,plain,
( sk_c6 != multiply(sk_c7,sk_c6)
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f81,f270]) ).
fof(f289,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f240,f270]) ).
fof(f290,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f289,f272]) ).
fof(f294,plain,
( sk_c7 != sk_c6
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f284,f220]) ).
fof(f296,plain,
( $false
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f294,f272]) ).
fof(f297,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f299,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f80,f270]) ).
fof(f300,plain,
( sk_c7 != inverse(sk_c7)
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f89,f272]) ).
fof(f301,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f299,f220]) ).
fof(f302,plain,
( $false
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f300,f290]) ).
fof(f303,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f304,plain,
( sk_c7 != sk_c6
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f85,f188]) ).
fof(f306,plain,
( $false
| spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f304,f272]) ).
fof(f307,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f309,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f84,f234]) ).
fof(f503,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f128]) ).
fof(f544,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f162,f98]) ).
fof(f545,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f98]) ).
fof(f547,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f544,f128]) ).
fof(f556,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(identity)
| ~ spl0_4 ),
inference(superposition,[],[f77,f1]) ).
fof(f561,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f77,f98]) ).
fof(f562,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f561]) ).
fof(f564,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f562,f128]) ).
fof(f565,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f571,plain,
( sk_c7 != inverse(identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f556,f301]) ).
fof(f574,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f571,f230]) ).
fof(f578,plain,
( sk_c7 != sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f574,f289]) ).
fof(f581,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f578,f301]) ).
fof(f582,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f688,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c5 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f68,f309]) ).
fof(f691,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f688,f309]) ).
fof(f692,plain,
( sk_c2 = multiply(sk_c6,identity)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f200,f88]) ).
fof(f694,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f3,f88]) ).
fof(f695,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f694,f234]) ).
fof(f697,plain,
( identity = sk_c2
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f692,f234]) ).
fof(f698,plain,
( sk_c6 = sk_c2
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f697,f230]) ).
fof(f703,plain,
( sk_c7 = sk_c6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f230,f695]) ).
fof(f708,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f118,f698]) ).
fof(f719,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f708,f703]) ).
fof(f724,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f691,f3]) ).
fof(f729,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f724,f695]) ).
fof(f733,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f729,f88]) ).
fof(f735,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f733,f703]) ).
fof(f738,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f735,f719]) ).
fof(f739,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f740,plain,
( ! [X2] :
( sk_c5 != multiply(X2,sk_c7)
| sk_c6 != inverse(X2) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f71,f703]) ).
fof(f741,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c6 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f740,f309]) ).
fof(f742,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f741,f703]) ).
fof(f757,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f742,f3]) ).
fof(f762,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f757,f695]) ).
fof(f766,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f762,f88]) ).
fof(f768,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f766,f703]) ).
fof(f771,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f768,f719]) ).
fof(f772,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f773,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f74,f703]) ).
fof(f785,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f773,f3]) ).
fof(f790,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f785,f695]) ).
fof(f794,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f790,f88]) ).
fof(f796,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f794,f703]) ).
fof(f799,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f796,f719]) ).
fof(f800,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f801,plain,
( sk_c6 = sk_c2
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f692,f222]) ).
fof(f808,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f162,f80]) ).
fof(f817,plain,
( sk_c6 != multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_13
| spl0_14 ),
inference(superposition,[],[f122,f801]) ).
fof(f818,plain,
( identity != sk_c6
| ~ spl0_7
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f817,f694]) ).
fof(f823,plain,
( identity != sk_c6
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_3 ),
inference(superposition,[],[f74,f3]) ).
fof(f831,definition,
( spl0_17
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f832,plain,
( sk_c7 = sk_c6
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f833,plain,
( sk_c7 != sk_c6
| spl0_17 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f836,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_15 ),
inference(superposition,[],[f162,f503]) ).
fof(f839,plain,
( sk_c1 = multiply(sk_c2,identity)
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f836,f251]) ).
fof(f841,plain,
( sk_c2 = sk_c1
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f839,f222]) ).
fof(f843,plain,
( sk_c6 = sk_c1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f841,f801]) ).
fof(f849,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_7 ),
inference(superposition,[],[f162,f694]) ).
fof(f852,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f849,f222]) ).
fof(f863,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c1,sk_c7)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f545,f84]) ).
fof(f864,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c1,identity)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f545,f694]) ).
fof(f869,plain,
( sk_c1 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f864,f222]) ).
fof(f870,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c6,sk_c7)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f863,f843]) ).
fof(f872,plain,
( sk_c6 = sk_c1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f869,f547]) ).
fof(f873,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f870,f694]) ).
fof(f874,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f873,f80]) ).
fof(f875,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f874,f818]) ).
fof(f876,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f877,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f808,f88]) ).
fof(f887,plain,
( sk_c7 != inverse(sk_c6)
| identity != sk_c6
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f823,f88]) ).
fof(f891,definition,
( spl0_20
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f892,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f895,definition,
( spl0_21
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f897,plain,
( identity != sk_c6
| spl0_21 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f899,plain,
( spl0_20
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f852,f87,f891]) ).
fof(f900,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f863,f80]) ).
fof(f901,plain,
( ~ spl0_21
| ~ spl0_20
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f887,f87,f73,f891,f895]) ).
fof(f904,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f900,f872]) ).
fof(f906,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f503,f872]) ).
fof(f928,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f545,f877]) ).
fof(f933,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f928,f872]) ).
fof(f934,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f933,f906]) ).
fof(f935,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f934,f84]) ).
fof(f947,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f1,f935]) ).
fof(f999,plain,
( identity != sk_c5
| sk_c5 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f68,f694]) ).
fof(f1002,plain,
( sk_c7 != sk_c5
| sk_c5 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f999,f935]) ).
fof(f1007,plain,
( sk_c7 != sk_c5
| sk_c7 != sk_c5
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1002,f892]) ).
fof(f1008,plain,
( sk_c7 != sk_c5
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f1007]) ).
fof(f1040,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f904,f694]) ).
fof(f1042,plain,
( multiply(sk_c1,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f545,f904]) ).
fof(f1049,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1042,f547]) ).
fof(f1052,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1040,f897]) ).
fof(f1053,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1054,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1049,f98]) ).
fof(f1055,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1054,f833]) ).
fof(f1056,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1055]) ).
fof(f1063,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f84,f832]) ).
fof(f1078,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1063,f947]) ).
fof(f1084,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1078,f1008]) ).
fof(f1085,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1086,plain,
( ! [X2] :
( sk_c5 != multiply(X2,sk_c7)
| sk_c6 != inverse(X2) )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f71,f832]) ).
fof(f1089,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c6 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1086,f1078]) ).
fof(f1090,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1089,f832]) ).
fof(f1093,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f1090,f3]) ).
fof(f1102,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1093,f935]) ).
fof(f1110,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1102,f88]) ).
fof(f1113,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1110,f892]) ).
fof(f1114,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1113]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f90]) ).
cnf(s4,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f109]) ).
cnf(s5,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f114]) ).
cnf(s6,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s7,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f124]) ).
cnf(s10,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f131]) ).
cnf(s11,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f132]) ).
cnf(s12,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f133]) ).
cnf(s13,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f134]) ).
cnf(s14,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f135]) ).
cnf(s15,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f136]) ).
cnf(s16,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f137]) ).
cnf(s17,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f138]) ).
cnf(s18,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s19,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s20,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f141]) ).
cnf(s21,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f142]) ).
cnf(s22,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f143]) ).
cnf(s23,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f144]) ).
cnf(s24,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f145]) ).
cnf(s25,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s26,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f147]) ).
cnf(s27,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f148]) ).
cnf(s28,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f149]) ).
cnf(s29,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f150]) ).
cnf(s30,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f151]) ).
cnf(s31,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f152]) ).
cnf(s32,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f297]) ).
cnf(s33,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f303]) ).
cnf(s34,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f307]) ).
cnf(s51,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(sat_conversion,[],[f565]) ).
cnf(s55,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f582]) ).
cnf(s70,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f739]) ).
cnf(s73,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f772]) ).
cnf(s76,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f800]) ).
cnf(s78,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f876]) ).
cnf(s81,plain,
( ~ spl0_7
| spl0_20 ),
inference(sat_conversion,[],[f899]) ).
cnf(s82,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f901]) ).
cnf(s87,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s88,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s91,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s96,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s97,plain,
spl0_5,
inference(rat,[],[s32,s14,s15,s16,s17,s18,s19]) ).
cnf(s98,plain,
spl0_6,
inference(rat,[],[s34,s20,s21,s22,s23,s24,s25]) ).
cnf(s99,plain,
spl0_7,
inference(rat,[],[s33,s26,s27,s28,s29,s30,s31]) ).
cnf(s100,plain,
spl0_20,
inference(rat,[],[s81,s99]) ).
cnf(s101,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s55,s4,s5,s6,s7,s97]) ).
cnf(s102,plain,
( ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s55,s10,s11,s12,s13,s51,s97]) ).
cnf(s103,plain,
~ spl0_4,
inference(rat,[],[s102,s101]) ).
cnf(s104,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s76,s6,s7,s99]) ).
cnf(s105,plain,
~ spl0_3,
inference(rat,[],[s76,s12,s13,s87,s104,s82,s99,s97,s98,s100]) ).
cnf(s106,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s73,s6,s7,s99,s98]) ).
cnf(s107,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s78,s13,s73,s106,s97,s98,s99]) ).
cnf(s108,plain,
~ spl0_2,
inference(rat,[],[s96,s88,s12,s107,s106,s99,s97,s98,s100]) ).
cnf(s109,plain,
spl0_1,
inference(rat,[],[s1,s98,s97,s103,s99,s105,s108]) ).
cnf(s110,plain,
spl0_9,
inference(rat,[],[s70,s6,s7,s99,s98,s109]) ).
cnf(s111,plain,
~ spl0_13,
inference(rat,[],[s78,s13,s70,s97,s98,s99,s110,s109]) ).
cnf(s112,plain,
spl0_15,
inference(rat,[],[s12,s111]) ).
cnf(s114,plain,
spl0_17,
inference(rat,[],[s88,s99,s110,s98,s97,s112]) ).
cnf(s116,plain,
$false,
inference(rat,[],[s91,s100,s110,s109,s98,s97,s99,s114,s112]) ).
fof(f1115,plain,
$false,
inference(avatar_sat_refutation,[],[s116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP387-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:59:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.47 % (4167249)Will run a generic schedule for satisfiability detection.
% 0.37/0.47 % (4167254)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=717819200_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.47 % TRYING [1]
% 0.37/0.47 % TRYING [2]
% 0.37/0.47 % TRYING [3]
% 0.37/0.47 % TRYING [4]
% 0.37/0.47 % (4167256)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=950247678:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.47 % (4167257)dis+10_1_sil=32000:sp=arity:random_seed=2610928604:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.47 % (4167258)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=175045640:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.47 % (4167259)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1187722254:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.47 % (4167260)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=324359705:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.47 % TRYING [5]
% 0.37/0.47 % (4167255)% WARNING: option uhcvi not known.
% 0.37/0.47 % (4167255)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=605154042:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.47 % TRYING [6]
% 0.37/0.47 % (4167258) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4167249-4167258"...
% 0.37/0.47 % (4167259) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4167249-4167259"...
% 0.37/0.47 % (4167258)...printing done.
% 0.37/0.47 % (4167258)Refutation found. Thanks to Tanya!
% 0.37/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.48 % (4167258)------------------------------
% 0.37/0.48 % (4167258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.48 % (4167258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.48 % (4167258)CaDiCaL version: 2.1.3
% 0.37/0.48 % (4167258)Termination reason: Refutation
% 0.37/0.48 % (4167258)Time elapsed: 0.022 s
% 0.37/0.48 % (4167258)Peak memory usage: 12 MB
% 0.37/0.48 % (4167258)Instructions burned: 33 (million)
% 0.37/0.48 % (4167249)Success in time 0.06 s
% 0.37/0.48 % Vampire exiting
%------------------------------------------------------------------------------