%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP276-1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:21 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 35
% Syntax : Number of formulae : 237 ( 19 unt; 13 def)
% Number of atoms : 770 ( 225 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1025 ( 492 ~; 520 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 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(f11,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f17]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f35,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f41]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(X1) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| inverse(X2) != sk_c7
| inverse(sk_c7) != sk_c5
| multiply(X3,sk_c5) != sk_c6
| inverse(X3) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c5 != inverse(sk_c7)
| sk_c6 != multiply(X3,sk_c5)
| sk_c5 != inverse(X3) ),
inference(reorient_equations,[],[f65]) ).
fof(f68,definition,
( spl0_1
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c5)
| sk_c5 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f69,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c5)
| sk_c5 != inverse(X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_2
<=> sk_c5 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f72,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( sk_c5 != inverse(sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f75,definition,
( spl0_3
<=> ! [X2] :
( sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( ! [X2] :
( sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,definition,
( spl0_4
<=> sk_c7 = multiply(sk_c6,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( sk_c7 != multiply(sk_c6,sk_c5)
| spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_5
<=> ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c7 != inverse(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_6
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f86,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f66,f75,f85,f82,f78,f75,f71,f68]) ).
fof(f90,definition,
( spl0_7
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f94,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f64,f94,f90]) ).
fof(f99,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f94,f99]) ).
fof(f103,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f60,f94,f71]) ).
fof(f114,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f54,f94,f78]) ).
fof(f116,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f118,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f52,f116,f90]) ).
fof(f120,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f50,f116,f99]) ).
fof(f121,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f48,f116,f71]) ).
fof(f124,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f116,f78]) ).
fof(f125,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f40,f85,f90]) ).
fof(f126,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f85,f99]) ).
fof(f127,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f36,f85,f71]) ).
fof(f132,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f132,f90]) ).
fof(f136,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f132,f99]) ).
fof(f137,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f132,f71]) ).
fof(f140,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f132,f78]) ).
fof(f142,definition,
( spl0_14
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f144,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f142,f90]) ).
fof(f146,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f14,f142,f99]) ).
fof(f147,plain,
( spl0_2
| spl0_14 ),
inference(avatar_split_clause,[],[f12,f142,f71]) ).
fof(f151,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f3,f72]) ).
fof(f152,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_7 ),
inference(superposition,[],[f3,f92]) ).
fof(f155,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f161,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f155,f1]) ).
fof(f163,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_2 ),
inference(superposition,[],[f4,f151]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f163,f1]) ).
fof(f212,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl0_2 ),
inference(superposition,[],[f161,f151]) ).
fof(f214,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f161,f101]) ).
fof(f216,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_7 ),
inference(superposition,[],[f161,f152]) ).
fof(f220,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f214,f92]) ).
fof(f226,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f161,f220]) ).
fof(f228,plain,
( identity = sk_c6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f226,f3]) ).
fof(f241,plain,
( sk_c7 = multiply(identity,sk_c5)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f79,f228]) ).
fof(f242,plain,
( sk_c7 = sk_c5
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f241,f1]) ).
fof(f248,plain,
( sk_c7 = sk_c4
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f216,f212]) ).
fof(f252,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f101,f248]) ).
fof(f254,plain,
( $false
| ~ spl0_2
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f252,f87]) ).
fof(f255,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f258,plain,
( ! [X1] :
( sk_c7 != multiply(X1,identity)
| sk_c7 != inverse(X1) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f83,f228]) ).
fof(f292,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(inverse(sk_c5))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f258,f212]) ).
fof(f296,plain,
( sk_c7 != inverse(inverse(sk_c5))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f292]) ).
fof(f311,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f296,f242]) ).
fof(f313,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f311,f72]) ).
fof(f315,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f313,f242]) ).
fof(f317,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f315,f72]) ).
fof(f318,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f317,f242]) ).
fof(f319,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f320,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c5 != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f69,f242]) ).
fof(f321,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c5 != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f320,f228]) ).
fof(f322,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f321,f242]) ).
fof(f327,plain,
( identity != identity
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f322,f3]) ).
fof(f329,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f327]) ).
fof(f331,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f329,f72]) ).
fof(f335,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f331,f242]) ).
fof(f339,plain,
( sk_c7 != sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f335,f72]) ).
fof(f342,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f339,f242]) ).
fof(f343,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f344,plain,
( ! [X2] :
( identity != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f76,f228]) ).
fof(f352,plain,
( identity != identity
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f344,f3]) ).
fof(f354,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f352]) ).
fof(f356,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f354,f72]) ).
fof(f360,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f356,f242]) ).
fof(f364,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f360,f72]) ).
fof(f367,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f364,f242]) ).
fof(f368,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f392,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f134]) ).
fof(f452,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f161,f86]) ).
fof(f454,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f452,f72]) ).
fof(f455,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f161,f144]) ).
fof(f457,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f455,f134]) ).
fof(f478,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f83,f96]) ).
fof(f479,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f161,f96]) ).
fof(f481,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f478]) ).
fof(f482,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f479,f118]) ).
fof(f483,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f481,f118]) ).
fof(f484,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f485,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f76,f144]) ).
fof(f490,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f485]) ).
fof(f497,definition,
( spl0_21
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f498,plain,
( identity = sk_c6
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f501,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f490,f134]) ).
fof(f502,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f505,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_13 ),
inference(superposition,[],[f161,f392]) ).
fof(f508,plain,
( sk_c1 = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f505,f72]) ).
fof(f534,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f161,f454]) ).
fof(f536,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f534,f3]) ).
fof(f539,plain,
( spl0_21
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f536,f85,f71,f497]) ).
fof(f556,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f482,f498]) ).
fof(f582,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f164,f556]) ).
fof(f587,plain,
( sk_c1 = sk_c7
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f582,f508]) ).
fof(f616,plain,
( ! [X3] :
( identity != multiply(X3,sk_c5)
| sk_c5 != inverse(X3) )
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f69,f498]) ).
fof(f617,plain,
( sk_c7 = multiply(identity,sk_c5)
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f79,f498]) ).
fof(f619,plain,
( sk_c7 = sk_c5
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f617,f1]) ).
fof(f620,plain,
( sk_c1 = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f619,f587]) ).
fof(f643,plain,
( ! [X3] :
( identity != multiply(X3,sk_c1)
| sk_c5 != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f616,f620]) ).
fof(f644,plain,
( ! [X3] :
( identity != multiply(X3,sk_c1)
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f643,f620]) ).
fof(f647,plain,
( identity != identity
| sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f644,f3]) ).
fof(f649,plain,
( sk_c1 != inverse(inverse(sk_c1))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f647]) ).
fof(f651,plain,
( sk_c1 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f649,f134]) ).
fof(f653,plain,
( sk_c1 != sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f651,f72]) ).
fof(f656,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f653,f620]) ).
fof(f657,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f658,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f452,f498]) ).
fof(f671,plain,
( sk_c7 != inverse(sk_c7)
| spl0_2
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f73,f619]) ).
fof(f696,plain,
( sk_c1 = sk_c5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f658,f505]) ).
fof(f697,plain,
( sk_c1 = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f696,f619]) ).
fof(f724,plain,
( sk_c1 != inverse(sk_c1)
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f671,f697]) ).
fof(f725,plain,
( sk_c1 != sk_c7
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f724,f134]) ).
fof(f733,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f725,f697]) ).
fof(f734,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f745,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f161,f457]) ).
fof(f747,plain,
( identity = sk_c6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f745,f3]) ).
fof(f752,plain,
( spl0_21
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f747,f142,f132,f497]) ).
fof(f763,plain,
( sk_c7 != multiply(sk_c6,sk_c1)
| spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(superposition,[],[f80,f696]) ).
fof(f772,plain,
( sk_c7 != multiply(identity,sk_c1)
| spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f763,f498]) ).
fof(f775,plain,
( sk_c1 != sk_c7
| spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f772,f1]) ).
fof(f785,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f161,f556]) ).
fof(f788,plain,
( sk_c1 = sk_c7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f785,f505]) ).
fof(f790,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f788,f775]) ).
fof(f791,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f790]) ).
cnf(s1,plain,
( spl0_3
| ~ spl0_2
| spl0_1
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f88]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f97]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s5,plain,
( spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f103]) ).
cnf(s8,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f114]) ).
cnf(s9,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f119]) ).
cnf(s10,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s11,plain,
( spl0_2
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s14,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s15,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f125]) ).
cnf(s16,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f126]) ).
cnf(s17,plain,
( spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f127]) ).
cnf(s21,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s22,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s23,plain,
( spl0_2
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s26,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s27,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s28,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s29,plain,
( spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s33,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f255]) ).
cnf(s36,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f319]) ).
cnf(s40,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f343]) ).
cnf(s44,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f368]) ).
cnf(s52,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f484]) ).
cnf(s54,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f502]) ).
cnf(s56,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f539]) ).
cnf(s61,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f657]) ).
cnf(s62,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f734]) ).
cnf(s64,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f752]) ).
cnf(s65,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f791]) ).
cnf(s66,plain,
spl0_2,
inference(rat,[],[s62,s65,s64,s5,s11,s17,s23,s29]) ).
cnf(s67,plain,
spl0_6,
inference(rat,[],[s33,s15,s16,s66]) ).
cnf(s68,plain,
spl0_21,
inference(rat,[],[s56,s66,s67]) ).
cnf(s69,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s52,s4,s10]) ).
cnf(s70,plain,
( ~ spl0_9
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s52,s3,s9,s36,s66]) ).
cnf(s71,plain,
( ~ spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s70,s69,s2,s67,s66]) ).
cnf(s72,plain,
spl0_4,
inference(rat,[],[s65,s8,s14,s26,s67,s68]) ).
cnf(s74,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s54,s22,s28]) ).
cnf(s75,plain,
( ~ spl0_9
| ~ spl0_3 ),
inference(rat,[],[s54,s21,s27,s44,s72,s66]) ).
cnf(s76,plain,
~ spl0_3,
inference(rat,[],[s75,s74]) ).
cnf(s77,plain,
spl0_1,
inference(rat,[],[s71,s72,s76]) ).
cnf(s78,plain,
spl0_9,
inference(rat,[],[s61,s4,s10,s22,s72,s66,s77,s68]) ).
cnf(s79,plain,
~ spl0_7,
inference(rat,[],[s40,s72,s66,s77,s78]) ).
cnf(s81,plain,
spl0_13,
inference(rat,[],[s21,s79]) ).
cnf(s82,plain,
spl0_12,
inference(rat,[],[s9,s79]) ).
cnf(s83,plain,
spl0_8,
inference(rat,[],[s3,s79]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s61,s68,s81,s77,s66,s72,s82,s83]) ).
fof(f793,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP276-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:50:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.45 % (3309482)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (3309490)dis+10_1_sil=32000:sp=arity:random_seed=3663998061:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (3309488)% WARNING: option uhcvi not known.
% 0.10/0.45 % (3309487)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1257486086_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (3309488)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3312872928:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (3309489)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=570975569:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (3309492)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=257551941:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (3309491)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2806640442:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (3309493)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=645621898:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (3309490) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3309482-3309490"...
% 0.10/0.46 % (3309490)...printing done.
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % (3309490)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (3309490)------------------------------
% 0.10/0.46 % (3309490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (3309490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (3309490)CaDiCaL version: 2.1.3
% 0.10/0.46 % (3309490)Termination reason: Refutation
% 0.10/0.46 % (3309490)Time elapsed: 0.010 s
% 0.10/0.46 % (3309490)Peak memory usage: 12 MB
% 0.10/0.46 % (3309490)Instructions burned: 27 (million)
% 0.10/0.46 % (3309482)Success in time 0.036 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------