%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP391-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 10:13:49 AM UTC 2026
% Result : Unsatisfiable 2.84s 1.27s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 44
% Syntax : Number of formulae : 316 ( 18 unt; 18 def)
% Number of atoms : 1156 ( 304 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1641 ( 801 ~; 822 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( inverse(sk_c6) = sk_c8
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( inverse(sk_c6) = sk_c8
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c6) = sk_c8
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c6) = sk_c8
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c6) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f14]) ).
fof(f20,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f24]) ).
fof(f32,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f36]) ).
fof(f40,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f42]) ).
fof(f48,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(sk_c6) != sk_c8
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| multiply(X1,sk_c7) != sk_c8
| multiply(sk_c6,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| multiply(X3,sk_c7) != sk_c6
| inverse(X3) != sk_c7
| inverse(X4) != sk_c6
| multiply(X4,sk_c8) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( inverse(sk_c6) != sk_c8
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| sk_c8 != multiply(X1,sk_c7)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
! [X2,X3,X0,X4] :
( inverse(sk_c6) != sk_c8
| sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) ),
inference(equality_resolution,[],[f65]) ).
fof(f68,definition,
( spl0_1
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f69,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_2
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f72,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_3
<=> ! [X2] :
( sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f75,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,definition,
( spl0_4
<=> sk_c8 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f78,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f79,plain,
( sk_c8 != multiply(sk_c6,sk_c7)
| spl0_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f81,definition,
( spl0_5
<=> ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f82,plain,
( ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_6
<=> inverse(sk_c6) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f85,plain,
( inverse(sk_c6) = sk_c8
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( inverse(sk_c6) != sk_c8
| spl0_6 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f66,f84,f81,f77,f74,f71,f68]) ).
fof(f89,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f90,plain,
( sk_c6 != multiply(sk_c5,sk_c8)
| spl0_7 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f63,f77,f89]) ).
fof(f94,definition,
( spl0_8
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f61,f77,f94]) ).
fof(f99,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f59,f77,f99]) ).
fof(f104,definition,
( spl0_10
<=> sk_c6 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f106,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f57,f77,f104]) ).
fof(f109,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f111,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f55,f77,f109]) ).
fof(f114,definition,
( spl0_12
<=> multiply(sk_c3,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f116,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f53,f77,f114]) ).
fof(f119,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f121,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f51,f119,f89]) ).
fof(f123,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f49,f119,f94]) ).
fof(f126,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f43,f119,f109]) ).
fof(f127,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f41,f119,f114]) ).
fof(f129,definition,
( spl0_14
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f131,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f133,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f37,f129,f94]) ).
fof(f134,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f35,f129,f99]) ).
fof(f135,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f33,f129,f104]) ).
fof(f139,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f141,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f143,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f25,f139,f94]) ).
fof(f144,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f23,f139,f99]) ).
fof(f145,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f21,f139,f104]) ).
fof(f148,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f84,f89]) ).
fof(f149,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f84,f94]) ).
fof(f150,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f11,f84,f99]) ).
fof(f151,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f84,f104]) ).
fof(f152,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f7,f84,f109]) ).
fof(f153,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f5,f84,f114]) ).
fof(f154,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f3,f96]) ).
fof(f155,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_9 ),
inference(superposition,[],[f3,f101]) ).
fof(f159,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f163,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f159,f1]) ).
fof(f166,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f154]) ).
fof(f167,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f166,f1]) ).
fof(f176,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f167,f91]) ).
fof(f201,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl0_8 ),
inference(superposition,[],[f163,f154]) ).
fof(f205,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f163,f116]) ).
fof(f207,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f163,f155]) ).
fof(f209,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f163,f106]) ).
fof(f218,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f209,f101]) ).
fof(f220,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f205,f111]) ).
fof(f222,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f163,f218]) ).
fof(f224,plain,
( identity = sk_c6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f222,f3]) ).
fof(f228,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f163,f220]) ).
fof(f230,plain,
( identity = sk_c7
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f228,f3]) ).
fof(f234,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f201,f224]) ).
fof(f235,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f234,f3]) ).
fof(f236,plain,
( sk_c6 = sk_c5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f235,f224]) ).
fof(f239,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f154,f236]) ).
fof(f241,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f96,f236]) ).
fof(f242,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f239,f176]) ).
fof(f244,plain,
( sk_c6 = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f230,f224]) ).
fof(f245,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f207,f224]) ).
fof(f246,plain,
( sk_c6 = sk_c8
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f242,f224]) ).
fof(f251,plain,
( sk_c8 != multiply(sk_c6,sk_c6)
| spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f79,f244]) ).
fof(f260,plain,
( $false
| spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f251,f176]) ).
fof(f261,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f263,plain,
( sk_c8 != inverse(sk_c8)
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f86,f246]) ).
fof(f280,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f245,f246]) ).
fof(f281,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f280,f244]) ).
fof(f282,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f281,f246]) ).
fof(f283,plain,
( identity = sk_c4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f282,f3]) ).
fof(f284,plain,
( sk_c6 = sk_c4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f283,f224]) ).
fof(f285,plain,
( sk_c8 = sk_c4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f284,f246]) ).
fof(f290,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f101,f285]) ).
fof(f291,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f290,f244]) ).
fof(f296,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f291,f246]) ).
fof(f354,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f263,f296]) ).
fof(f355,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f404,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f69,f246]) ).
fof(f405,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c8) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f404,f246]) ).
fof(f412,plain,
( sk_c6 != sk_c8
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f405,f96]) ).
fof(f415,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f412,f246]) ).
fof(f418,plain,
( sk_c6 != sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f415,f91]) ).
fof(f421,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f418,f246]) ).
fof(f422,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f426,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f72,f244]) ).
fof(f427,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f426,f246]) ).
fof(f428,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f427,f244]) ).
fof(f429,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f428,f246]) ).
fof(f433,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f429,f111]) ).
fof(f436,plain,
( sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f433]) ).
fof(f440,plain,
( sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f436,f116]) ).
fof(f443,plain,
( sk_c6 != sk_c8
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f440,f244]) ).
fof(f447,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f443,f246]) ).
fof(f448,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f471,plain,
( sk_c6 != multiply(sk_c6,sk_c8)
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f90,f236]) ).
fof(f492,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f3,f85]) ).
fof(f493,plain,
( sk_c6 = multiply(sk_c8,sk_c6)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f492,f224]) ).
fof(f497,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_15 ),
inference(superposition,[],[f163,f141]) ).
fof(f499,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f497,f131]) ).
fof(f500,plain,
( sk_c6 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f241,f85]) ).
fof(f504,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f85,f500]) ).
fof(f521,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f471,f500]) ).
fof(f537,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f3,f504]) ).
fof(f538,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f537,f224]) ).
fof(f540,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f538,f500]) ).
fof(f542,plain,
( $false
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f540,f521]) ).
fof(f543,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f546,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f91,f236]) ).
fof(f549,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f78,f500]) ).
fof(f552,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f546,f500]) ).
fof(f557,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f121]) ).
fof(f559,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f163,f549]) ).
fof(f561,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f559,f3]) ).
fof(f563,plain,
( sk_c6 = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f561,f224]) ).
fof(f564,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f563,f500]) ).
fof(f582,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c8)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f82,f564]) ).
fof(f587,plain,
( sk_c8 != multiply(sk_c6,sk_c8)
| sk_c8 != multiply(sk_c5,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f582,f96]) ).
fof(f593,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c5,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f587,f500]) ).
fof(f599,plain,
( sk_c8 != multiply(sk_c5,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f593,f552]) ).
fof(f604,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f599,f500]) ).
fof(f608,plain,
( sk_c8 != multiply(sk_c6,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f604,f236]) ).
fof(f611,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f608,f500]) ).
fof(f612,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f611,f552]) ).
fof(f613,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f614,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c8) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f75,f564]) ).
fof(f619,plain,
( sk_c6 != sk_c8
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f614,f96]) ).
fof(f632,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f619,f500]) ).
fof(f637,plain,
( sk_c8 != multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f632,f236]) ).
fof(f640,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f637,f500]) ).
fof(f641,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f640,f552]) ).
fof(f642,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f694,definition,
( spl0_22
<=> sk_c6 = multiply(sk_c6,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f695,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f696,plain,
( sk_c6 != multiply(sk_c6,sk_c8)
| spl0_22 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f698,definition,
( spl0_23
<=> sk_c6 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f699,plain,
( sk_c6 = sk_c8
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f716,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f163,f499]) ).
fof(f718,plain,
( identity = sk_c8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f716,f3]) ).
fof(f722,plain,
( multiply(sk_c2,sk_c7) = multiply(sk_c8,sk_c6)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f557,f218]) ).
fof(f727,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f722,f493]) ).
fof(f730,plain,
( sk_c6 = sk_c8
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f727,f121]) ).
fof(f733,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f730,f119,f104,f99,f84,f698]) ).
fof(f734,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_23 ),
inference(superposition,[],[f78,f699]) ).
fof(f735,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f85,f699]) ).
fof(f738,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[],[f696,f699]) ).
fof(f751,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[],[f695,f699]) ).
fof(f752,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f75,f85]) ).
fof(f757,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f752]) ).
fof(f768,definition,
( spl0_26
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f769,plain,
( sk_c8 = sk_c7
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f772,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f757,f699]) ).
fof(f778,plain,
( sk_c8 != sk_c7
| ~ spl0_3
| ~ spl0_6
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[],[f772,f751]) ).
fof(f780,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_4
| ~ spl0_23 ),
inference(superposition,[],[f163,f734]) ).
fof(f782,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f780,f3]) ).
fof(f793,plain,
( ~ spl0_26
| ~ spl0_3
| ~ spl0_6
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f778,f698,f694,f84,f74,f768]) ).
fof(f796,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f72,f699]) ).
fof(f798,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f796,f735]) ).
fof(f799,plain,
( sk_c7 != sk_c7
| sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f796,f101]) ).
fof(f801,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f799]) ).
fof(f811,plain,
( sk_c6 != sk_c8
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_demodulation,[],[f801,f106]) ).
fof(f812,plain,
( sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f798,f734]) ).
fof(f814,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f811,f699]) ).
fof(f815,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f814]) ).
fof(f816,plain,
( ~ spl0_26
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f812,f698,f84,f77,f71,f768]) ).
fof(f817,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_4
| ~ spl0_26 ),
inference(superposition,[],[f78,f769]) ).
fof(f832,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c8)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_5
| ~ spl0_26 ),
inference(forward_demodulation,[],[f82,f769]) ).
fof(f834,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c6,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_26 ),
inference(superposition,[],[f832,f85]) ).
fof(f845,plain,
( sk_c8 != multiply(sk_c6,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f834,f751]) ).
fof(f849,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f845,f699]) ).
fof(f853,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f849,f751]) ).
fof(f854,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_22
| ~ spl0_23
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f863,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f492,f718]) ).
fof(f870,plain,
( sk_c6 != sk_c8
| sk_c6 != multiply(sk_c6,sk_c8)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f69,f85]) ).
fof(f888,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f163,f863]) ).
fof(f890,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f888,f3]) ).
fof(f892,plain,
( sk_c6 = sk_c8
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f890,f718]) ).
fof(f895,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f782,f718]) ).
fof(f896,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f870,f84,f68,f698,f694]) ).
fof(f897,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f892,f139,f129,f84,f698]) ).
fof(f901,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f895,f698,f139,f129,f77,f768]) ).
fof(f929,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_demodulation,[],[f817,f699]) ).
fof(f930,plain,
( $false
| ~ spl0_4
| spl0_22
| ~ spl0_23
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f929,f738]) ).
fof(f931,plain,
( ~ spl0_4
| spl0_22
| ~ spl0_23
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f930]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f87]) ).
cnf(s2,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f92]) ).
cnf(s3,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f97]) ).
cnf(s4,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s5,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f107]) ).
cnf(s6,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f112]) ).
cnf(s7,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s8,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s9,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s12,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s13,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s15,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s16,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f134]) ).
cnf(s17,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s21,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f143]) ).
cnf(s22,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s23,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s26,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f148]) ).
cnf(s27,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f149]) ).
cnf(s28,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f150]) ).
cnf(s29,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f151]) ).
cnf(s30,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f152]) ).
cnf(s31,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f153]) ).
cnf(s32,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f261]) ).
cnf(s33,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f355]) ).
cnf(s36,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f422]) ).
cnf(s39,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f448]) ).
cnf(s42,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f543]) ).
cnf(s48,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f613]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f642]) ).
cnf(s61,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_23 ),
inference(sat_conversion,[],[f733]) ).
cnf(s68,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_22
| ~ spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f793]) ).
cnf(s72,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_23 ),
inference(sat_conversion,[],[f815]) ).
cnf(s73,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f816]) ).
cnf(s77,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_22
| ~ spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f854]) ).
cnf(s87,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f896]) ).
cnf(s88,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| spl0_23 ),
inference(sat_conversion,[],[f897]) ).
cnf(s92,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23
| spl0_26 ),
inference(sat_conversion,[],[f901]) ).
cnf(s94,plain,
( ~ spl0_4
| spl0_22
| ~ spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f931]) ).
cnf(s95,plain,
spl0_4,
inference(rat,[],[s32,s2,s3,s4,s5,s6,s7]) ).
cnf(s96,plain,
spl0_6,
inference(rat,[],[s33,s26,s27,s28,s29,s30,s31]) ).
cnf(s97,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s77,s94,s92,s88,s17,s23,s96,s95]) ).
cnf(s98,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s77,s94,s92,s88,s16,s22,s96,s95]) ).
cnf(s99,plain,
( spl0_8
| ~ spl0_5 ),
inference(rat,[],[s77,s94,s92,s88,s15,s21,s96,s95]) ).
cnf(s100,plain,
~ spl0_5,
inference(rat,[],[s48,s42,s99,s98,s97,s95,s96]) ).
cnf(s101,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s68,s94,s92,s88,s17,s23,s96,s95]) ).
cnf(s102,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s68,s94,s92,s88,s16,s22,s96,s95]) ).
cnf(s103,plain,
( spl0_8
| ~ spl0_3 ),
inference(rat,[],[s68,s94,s92,s88,s15,s21,s96,s95]) ).
cnf(s104,plain,
~ spl0_3,
inference(rat,[],[s52,s42,s103,s102,s101,s95,s96]) ).
cnf(s105,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s73,s92,s88,s17,s23,s96,s95]) ).
cnf(s106,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s73,s92,s88,s16,s22,s96,s95]) ).
cnf(s107,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s39,s8,s9,s12,s13,s61,s72,s96]) ).
cnf(s108,plain,
~ spl0_2,
inference(rat,[],[s107,s106,s105]) ).
cnf(s109,plain,
spl0_1,
inference(rat,[],[s1,s95,s100,s96,s104,s108]) ).
cnf(s110,plain,
( ~ spl0_23
| ~ spl0_26 ),
inference(rat,[],[s87,s94,s95,s109,s96]) ).
cnf(s111,plain,
( ~ spl0_23
| ~ spl0_14
| ~ spl0_15 ),
inference(rat,[],[s110,s92,s95]) ).
cnf(s112,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(rat,[],[s111,s88,s96]) ).
cnf(s113,plain,
spl0_10,
inference(rat,[],[s112,s17,s23]) ).
cnf(s114,plain,
spl0_9,
inference(rat,[],[s112,s16,s22]) ).
cnf(s115,plain,
spl0_8,
inference(rat,[],[s112,s15,s21]) ).
cnf(s116,plain,
spl0_7,
inference(rat,[],[s42,s113,s114,s96,s115]) ).
cnf(s117,plain,
$false,
inference(rat,[],[s36,s113,s114,s109,s116,s115]) ).
fof(f932,plain,
$false,
inference(avatar_sat_refutation,[],[s117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP391-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:00:07 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.84/1.27 % (4167653)Input is clausal, will run a generic CNF schedule.
% 2.84/1.27 % (4167658)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1628350378:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.84/1.27 % (4167660)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3267130839:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.84/1.27 % (4167663)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=551022992:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.84/1.27 % (4167659)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1089142516:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.84/1.27 % (4167661)lrs+10_1_sil=8000:sp=occurrence:random_seed=1629497494:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.84/1.27 % (4167662)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1888496289:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.84/1.27 % (4167664)dis-21_1_sil=8000:lcm=predicate:random_seed=445043694:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.84/1.27 % (4167664)Refutation not found, incomplete strategy
% 2.84/1.27 % (4167664)------------------------------
% 2.84/1.27 % (4167664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.27 % (4167664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.27 % (4167664)CaDiCaL version: 2.1.3
% 2.84/1.27 % (4167664)Termination reason: Refutation not found, incomplete strategy
% 2.84/1.27 % (4167664)Time elapsed: 0.002 s
% 2.84/1.27 % (4167664)Peak memory usage: 88 MB
% 2.84/1.27 % (4167664)Instructions burned: 2 (million)
% 2.84/1.27 % (4167661)Refutation not found, incomplete strategy
% 2.84/1.27 % (4167661)------------------------------
% 2.84/1.27 % (4167661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.27 % (4167661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.27 % (4167661)CaDiCaL version: 2.1.3
% 2.84/1.27 % (4167661)Termination reason: Refutation not found, incomplete strategy
% 2.84/1.27 % (4167661)Time elapsed: 0.003 s
% 2.84/1.27 % (4167661)Peak memory usage: 88 MB
% 2.84/1.27 % (4167661)Instructions burned: 3 (million)
% 2.84/1.27 % (4167663)First to succeed.
% 2.84/1.27 % (4167663)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4167653"
% 2.84/1.27 % (4167662)Instruction limit reached!
% 2.84/1.27 % (4167662)------------------------------
% 2.84/1.27 % (4167662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.27 % (4167662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.27 % (4167662)CaDiCaL version: 2.1.3
% 2.84/1.27 % (4167662)Termination reason: Instruction limit
% 2.84/1.27 % (4167662)Termination phase: Saturation
% 2.84/1.27 % (4167662)Time elapsed: 0.065 s
% 2.84/1.27 % (4167662)Peak memory usage: 89 MB
% 2.84/1.27 % (4167662)Instructions burned: 114 (million)
% 2.84/1.27 % (4167672)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=399420163:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.84/1.27 % (4167672)Refutation not found, incomplete strategy
% 2.84/1.27 % (4167672)------------------------------
% 2.84/1.27 % (4167672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.27 % (4167672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.27 % (4167672)CaDiCaL version: 2.1.3
% 2.84/1.27 % (4167672)Termination reason: Refutation not found, incomplete strategy
% 2.84/1.27 % (4167672)Time elapsed: 0.003 s
% 2.84/1.27 % (4167672)Peak memory usage: 88 MB
% 2.84/1.27 % (4167672)Instructions burned: 3 (million)
% 2.84/1.27 % (4167664)------------------------------
% 2.84/1.27 % (4167664)------------------------------
% 2.84/1.27 % (4167661)------------------------------
% 2.84/1.27 % (4167661)------------------------------
% 2.84/1.27 % (4167663)Refutation found. Thanks to Tanya!
% 2.84/1.27 % SZS status Unsatisfiable for theBenchmark
% 2.84/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.46 % (4167663)------------------------------
% 3.63/1.46 % (4167663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.46 % (4167663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.46 % (4167663)CaDiCaL version: 2.1.3
% 3.63/1.46 % (4167663)Termination reason: Refutation
% 3.63/1.46 % (4167663)Time elapsed: 0.021 s
% 3.63/1.46 % (4167663)Peak memory usage: 89 MB
% 3.63/1.46 % (4167663)Instructions burned: 30 (million)
% 3.63/1.46 % (4167663)------------------------------
% 3.63/1.46 % (4167663)------------------------------
% 3.63/1.46 % (4167653)Success in time 0.433 s
% 3.63/1.46 % Vampire exiting
%------------------------------------------------------------------------------