%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP302-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 10:13:35 AM UTC 2026
% Result : Unsatisfiable 0.73s 0.95s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 41
% Syntax : Number of formulae : 230 ( 22 unt; 17 def)
% Number of atoms : 621 ( 222 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 718 ( 327 ~; 374 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f8,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c8 = inverse(sk_c1)
| inverse(sk_c5) = sk_c4 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = inverse(sk_c1)
| sk_c4 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f16]) ).
fof(f20,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f22]) ).
fof(f30,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| inverse(sk_c5) = sk_c4 ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c4 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c2)
| inverse(sk_c5) = sk_c4 ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c8 = inverse(sk_c2)
| sk_c4 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c8
| multiply(X1,sk_c8) != sk_c6
| inverse(X1) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(X2) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| inverse(X3) != X4
| inverse(X4) != sk_c8
| multiply(X3,sk_c8) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != inverse(sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| inverse(X3) != X4
| sk_c8 != inverse(X4)
| multiply(X3,sk_c8) != X4 ),
inference(reorient_equations,[],[f54]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != inverse(sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(inverse(X3))
| inverse(X3) != multiply(X3,sk_c8) ),
inference(equality_resolution,[],[f55]) ).
fof(f58,definition,
( spl0_1
<=> ! [X3] :
( sk_c8 != inverse(inverse(X3))
| inverse(X3) != multiply(X3,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f59,plain,
( ! [X3] :
( inverse(X3) != multiply(X3,sk_c8)
| sk_c8 != inverse(inverse(X3)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl0_2
<=> ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f62,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl0_3
<=> sk_c7 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f65,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( sk_c7 != inverse(sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl0_4
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f69,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_5
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f72,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f56,f71,f61,f68,f64,f61,f58]) ).
fof(f76,definition,
( spl0_6
<=> sk_c4 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f78,plain,
( sk_c4 = multiply(sk_c5,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,definition,
( spl0_7
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f82,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f53,f80,f76]) ).
fof(f85,definition,
( spl0_8
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f87,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f51,f80,f85]) ).
fof(f90,definition,
( spl0_9
<=> inverse(sk_c5) = sk_c4 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f92,plain,
( inverse(sk_c5) = sk_c4
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f49,f80,f90]) ).
fof(f95,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f96,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| spl0_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f97,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f47,f80,f95]) ).
fof(f100,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f102,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f45,f80,f100]) ).
fof(f104,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f43,f80,f64]) ).
fof(f106,definition,
( spl0_12
<=> sk_c6 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f108,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f41,f106,f76]) ).
fof(f110,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f39,f106,f85]) ).
fof(f111,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f37,f106,f90]) ).
fof(f112,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f35,f106,f95]) ).
fof(f113,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f33,f106,f100]) ).
fof(f114,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f31,f106,f64]) ).
fof(f116,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f118,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f122,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f116,f95]) ).
fof(f123,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f116,f100]) ).
fof(f126,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f128,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f17,f126,f76]) ).
fof(f130,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f15,f126,f85]) ).
fof(f131,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f13,f126,f90]) ).
fof(f132,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f11,f126,f95]) ).
fof(f133,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f9,f126,f100]) ).
fof(f135,plain,
spl0_5,
inference(avatar_split_clause,[],[f5,f71]) ).
fof(f137,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f62,f97]) ).
fof(f138,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f137]) ).
fof(f139,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f138,f102]) ).
fof(f140,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f151,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f62,f118]) ).
fof(f152,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f151]) ).
fof(f153,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f152,f128]) ).
fof(f154,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f156,plain,
( sk_c6 != sk_c6
| sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f69,f108]) ).
fof(f157,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f156]) ).
fof(f158,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f157,f82]) ).
fof(f159,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f170,plain,
( inverse(sk_c5) != sk_c4
| sk_c8 != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f59,f78]) ).
fof(f173,plain,
( sk_c8 != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f170,f92]) ).
fof(f175,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f173,f92]) ).
fof(f179,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f175,f90,f76,f58,f85]) ).
fof(f190,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f3,f65]) ).
fof(f191,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f128]) ).
fof(f192,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f102]) ).
fof(f209,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f118]) ).
fof(f214,plain,
( ! [X0,X1] :
( multiply(X0,multiply(X1,sk_c8)) != inverse(multiply(X0,X1))
| sk_c8 != inverse(inverse(multiply(X0,X1))) )
| ~ spl0_1 ),
inference(superposition,[],[f59,f4]) ).
fof(f215,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f209,f1]) ).
fof(f219,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f190]) ).
fof(f220,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f219,f1]) ).
fof(f235,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f220,f191]) ).
fof(f236,plain,
( sk_c3 = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f220,f192]) ).
fof(f272,plain,
( sk_c1 = sk_c3
| ~ spl0_3
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f236,f235]) ).
fof(f284,plain,
( multiply(sk_c8,sk_c8) != inverse(multiply(sk_c1,sk_c7))
| sk_c8 != inverse(inverse(multiply(sk_c1,sk_c7)))
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f214,f211]) ).
fof(f289,plain,
( inverse(sk_c8) != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(inverse(multiply(sk_c1,sk_c7)))
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f284,f118]) ).
fof(f297,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(inverse(multiply(sk_c1,sk_c7)))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f289,f65]) ).
fof(f303,plain,
( sk_c8 != inverse(inverse(sk_c8))
| sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f297,f118]) ).
fof(f304,plain,
( sk_c8 != inverse(sk_c7)
| sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f303,f65]) ).
fof(f306,definition,
( spl0_23
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f307,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_24
<=> sk_c8 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f313,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_1
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f304,f116,f64,f58,f310,f306]) ).
fof(f315,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl0_3
| spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f96,f272]) ).
fof(f317,plain,
( $false
| ~ spl0_3
| spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f315,f118]) ).
fof(f318,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f340,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f215,f3]) ).
fof(f341,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f215,f215]) ).
fof(f343,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f215,f72]) ).
fof(f344,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_14 ),
inference(superposition,[],[f215,f191]) ).
fof(f347,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f215,f118]) ).
fof(f349,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c4)
| ~ spl0_6 ),
inference(superposition,[],[f215,f78]) ).
fof(f352,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_12 ),
inference(superposition,[],[f215,f108]) ).
fof(f359,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f352,f82]) ).
fof(f361,plain,
( sk_c8 = multiply(sk_c4,sk_c4)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f349,f92]) ).
fof(f363,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f347,f128]) ).
fof(f367,plain,
( spl0_23
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f363,f126,f116,f306]) ).
fof(f376,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f215,f359]) ).
fof(f378,plain,
( identity = sk_c6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f376,f3]) ).
fof(f383,plain,
( sk_c4 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f215,f361]) ).
fof(f388,plain,
( sk_c6 = multiply(inverse(inverse(sk_c8)),sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f215,f343]) ).
fof(f393,plain,
( sk_c1 = multiply(inverse(sk_c8),sk_c6)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f344,f378]) ).
fof(f394,plain,
( sk_c7 = sk_c1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f393,f343]) ).
fof(f398,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f128,f394]) ).
fof(f399,plain,
( spl0_24
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f398,f126,f106,f80,f71,f310]) ).
fof(f1063,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c6) = X0
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f340,f378]) ).
fof(f1083,plain,
( ! [X0] : multiply(X0,sk_c6) = X0
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f341,f1063]) ).
fof(f1128,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f1083,f343]) ).
fof(f1170,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1128,f66]) ).
fof(f1171,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1170]) ).
fof(f1189,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f388,f65]) ).
fof(f1195,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1189,f3]) ).
fof(f1200,plain,
( sk_c4 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f383,f87]) ).
fof(f1205,plain,
( sk_c7 = sk_c4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1200,f307]) ).
fof(f1213,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f97,f272]) ).
fof(f1219,plain,
( identity != sk_c6
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_4 ),
inference(superposition,[],[f69,f3]) ).
fof(f1234,plain,
( sk_c8 != inverse(sk_c7)
| identity != sk_c6
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1219,f65]) ).
fof(f1236,definition,
( spl0_51
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f1239,plain,
( ~ spl0_51
| ~ spl0_24
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1234,f68,f64,f310,f1236]) ).
fof(f1244,plain,
( spl0_51
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1195,f71,f64,f1236]) ).
fof(f1247,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f87,f1205]) ).
fof(f1260,plain,
( spl0_24
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1247,f306,f90,f85,f76,f310]) ).
fof(f1261,plain,
( spl0_13
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1213,f126,f100,f95,f64,f116]) ).
fof(f1262,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_10 ),
inference(superposition,[],[f215,f97]) ).
fof(f1264,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1262,f102]) ).
fof(f1265,plain,
( spl0_23
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1264,f100,f95,f306]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f74]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f83]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f88]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f93]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f98]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f103]) ).
cnf(s8,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f104]) ).
cnf(s9,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s10,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s11,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s12,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f112]) ).
cnf(s13,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f113]) ).
cnf(s14,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f114]) ).
cnf(s18,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s19,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s21,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s22,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f130]) ).
cnf(s23,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s24,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f132]) ).
cnf(s25,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s27,plain,
spl0_5,
inference(sat_conversion,[],[f135]) ).
cnf(s28,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f140]) ).
cnf(s30,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f154]) ).
cnf(s31,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_12 ),
inference(sat_conversion,[],[f159]) ).
cnf(s34,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f179]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_13
| ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f313]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f318]) ).
cnf(s42,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_23 ),
inference(sat_conversion,[],[f367]) ).
cnf(s43,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14
| spl0_24 ),
inference(sat_conversion,[],[f399]) ).
cnf(s59,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(sat_conversion,[],[f1171]) ).
cnf(s68,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_24
| ~ spl0_51 ),
inference(sat_conversion,[],[f1239]) ).
cnf(s72,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_51 ),
inference(sat_conversion,[],[f1244]) ).
cnf(s73,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f1260]) ).
cnf(s74,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f1261]) ).
cnf(s75,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_23 ),
inference(sat_conversion,[],[f1265]) ).
cnf(s76,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(rat,[],[s2,s27]) ).
cnf(s77,plain,
spl0_3,
inference(rat,[],[s59,s8,s14,s27]) ).
cnf(s78,plain,
spl0_51,
inference(rat,[],[s72,s27,s77]) ).
cnf(s79,plain,
( spl0_6
| spl0_24 ),
inference(rat,[],[s43,s3,s9,s21,s27]) ).
cnf(s80,plain,
( spl0_12
| spl0_24 ),
inference(rat,[],[s73,s75,s10,s11,s12,s13,s79]) ).
cnf(s81,plain,
~ spl0_4,
inference(rat,[],[s73,s75,s4,s5,s6,s7,s31,s80,s79,s68,s77,s78]) ).
cnf(s83,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s30,s19,s25]) ).
cnf(s84,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s38,s18,s24,s28,s77]) ).
cnf(s85,plain,
~ spl0_2,
inference(rat,[],[s84,s83]) ).
cnf(s86,plain,
spl0_1,
inference(rat,[],[s76,s77,s81,s85]) ).
cnf(s87,plain,
spl0_11,
inference(rat,[],[s37,s42,s43,s7,s13,s19,s25,s77,s86,s27]) ).
cnf(s88,plain,
( ~ spl0_14
| ~ spl0_10 ),
inference(rat,[],[s73,s4,s5,s43,s80,s79,s37,s74,s75,s27,s77,s86,s87]) ).
cnf(s89,plain,
spl0_14,
inference(rat,[],[s34,s21,s22,s23,s86]) ).
cnf(s90,plain,
~ spl0_10,
inference(rat,[],[s88,s89]) ).
cnf(s91,plain,
spl0_13,
inference(rat,[],[s18,s90]) ).
cnf(s94,plain,
$false,
inference(rat,[],[s38,s89,s87,s77,s91,s90]) ).
fof(f1266,plain,
$false,
inference(avatar_sat_refutation,[],[s94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP302-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:48:56 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.95 % (2743018)Input is clausal, will run a generic CNF schedule.
% 0.73/0.95 % (2743028)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2712340644:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.73/0.95 % (2743026)lrs+10_1_sil=8000:sp=occurrence:random_seed=1582572778:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.73/0.95 % (2743024)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1562088139:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.73/0.95 % (2743029)dis-21_1_sil=8000:lcm=predicate:random_seed=4187701573:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.73/0.95 % (2743027)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4121576201:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.73/0.95 % (2743023)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=1385065941:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.73/0.95 % (2743025)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=150713938:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.73/0.95 % (2743029)Refutation not found, incomplete strategy
% 0.73/0.95 % (2743029)------------------------------
% 0.73/0.95 % (2743029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.73/0.95 % (2743029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.95 % (2743029)CaDiCaL version: 2.1.3
% 0.73/0.95 % (2743029)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.95 % (2743029)Time elapsed: 0.002 s
% 0.73/0.95 % (2743029)Peak memory usage: 88 MB
% 0.73/0.95 % (2743029)Instructions burned: 1 (million)
% 0.73/0.95 % (2743028)First to succeed.
% 0.73/0.95 % (2743028)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2743018"
% 0.73/0.95 % (2743026)Instruction limit reached!
% 0.73/0.95 % (2743026)------------------------------
% 0.73/0.95 % (2743026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.73/0.95 % (2743026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.95 % (2743026)CaDiCaL version: 2.1.3
% 0.73/0.95 % (2743026)Termination reason: Instruction limit
% 0.73/0.95 % (2743026)Termination phase: Saturation
% 0.73/0.95 % (2743026)Time elapsed: 0.051 s
% 0.73/0.95 % (2743026)Peak memory usage: 89 MB
% 0.73/0.95 % (2743026)Instructions burned: 108 (million)
% 0.73/0.95 % (2743027)Instruction limit reached!
% 0.73/0.95 % (2743027)------------------------------
% 0.73/0.95 % (2743027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.73/0.95 % (2743027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.95 % (2743027)CaDiCaL version: 2.1.3
% 0.73/0.95 % (2743027)Termination reason: Instruction limit
% 0.73/0.95 % (2743027)Termination phase: Saturation
% 0.73/0.95 % (2743027)Time elapsed: 0.066 s
% 0.73/0.95 % (2743027)Peak memory usage: 89 MB
% 0.73/0.95 % (2743027)Instructions burned: 114 (million)
% 0.73/0.95 % (2743028)Refutation found. Thanks to Tanya!
% 0.73/0.95 % SZS status Unsatisfiable for theBenchmark
% 0.73/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.04 % (2743028)------------------------------
% 2.65/1.04 % (2743028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.04 % (2743028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.04 % (2743028)CaDiCaL version: 2.1.3
% 2.65/1.04 % (2743028)Termination reason: Refutation
% 2.65/1.04 % (2743028)Time elapsed: 0.027 s
% 2.65/1.04 % (2743028)Peak memory usage: 90 MB
% 2.65/1.04 % (2743028)Instructions burned: 44 (million)
% 2.65/1.04 % (2743028)------------------------------
% 2.65/1.04 % (2743028)------------------------------
% 2.65/1.04 % (2743018)Success in time 0.332 s
% 2.65/1.04 % Vampire exiting
%------------------------------------------------------------------------------