%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP214-1 : 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 : n008.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 10:17:11 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 25
% Syntax : Number of formulae : 156 ( 16 unt; 12 def)
% Number of atoms : 427 ( 153 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 536 ( 265 ~; 259 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c7 = inverse(sk_c1)
| multiply(sk_c3,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f18]) ).
fof(f22,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f22]) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(sk_c7,X1) != sk_c6
| multiply(X2,sk_c7) != X3
| inverse(X2) != sk_c7
| multiply(X4,X3) != sk_c6
| inverse(X4) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,X1)
| multiply(X2,sk_c7) != X3
| sk_c7 != inverse(X2)
| sk_c6 != multiply(X4,X3)
| inverse(X4) != X3 ),
inference(reorient_equations,[],[f28]) ).
fof(f30,plain,
! [X2,X0,X1,X4] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,X1)
| sk_c7 != inverse(X2)
| sk_c6 != multiply(X4,multiply(X2,sk_c7))
| multiply(X2,sk_c7) != inverse(X4) ),
inference(equality_resolution,[],[f29]) ).
fof(f32,definition,
( spl0_1
<=> ! [X2,X4] :
( sk_c7 != inverse(X2)
| multiply(X2,sk_c7) != inverse(X4)
| sk_c6 != multiply(X4,multiply(X2,sk_c7)) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f33,plain,
( ! [X2,X4] :
( sk_c6 != multiply(X4,multiply(X2,sk_c7))
| multiply(X2,sk_c7) != inverse(X4)
| sk_c7 != inverse(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,definition,
( spl0_2
<=> ! [X1] : sk_c6 != multiply(sk_c7,X1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f36,plain,
( ! [X1] : sk_c6 != multiply(sk_c7,X1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,definition,
( spl0_3
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f39,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f40,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f30,f38,f35,f32]) ).
fof(f42,definition,
( spl0_4
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f44,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f46,definition,
( spl0_5
<=> sk_c6 = multiply(sk_c7,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f51,definition,
( spl0_6
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f53,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f56,definition,
( spl0_7
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f23,f46,f56]) ).
fof(f61,definition,
( spl0_8
<=> multiply(sk_c3,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f63,plain,
( multiply(sk_c3,sk_c7) = sk_c5
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f66,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f68,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f19,f66,f42]) ).
fof(f70,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f17,f66,f51]) ).
fof(f71,plain,
( spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f15,f66,f56]) ).
fof(f72,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f13,f66,f61]) ).
fof(f74,definition,
( spl0_10
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f76,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f74,f42]) ).
fof(f78,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f9,f74,f51]) ).
fof(f79,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f7,f74,f56]) ).
fof(f80,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f5,f74,f61]) ).
fof(f82,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f3,f58]) ).
fof(f85,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f86,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_8 ),
inference(superposition,[],[f4,f63]) ).
fof(f87,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| ~ spl0_6 ),
inference(superposition,[],[f4,f53]) ).
fof(f88,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f85,f1]) ).
fof(f94,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f82]) ).
fof(f95,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f94,f1]) ).
fof(f108,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f88,f3]) ).
fof(f109,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f88,f88]) ).
fof(f112,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c3),multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f88,f86]) ).
fof(f114,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f88,f53]) ).
fof(f115,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c4),multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f88,f87]) ).
fof(f118,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f115,f44]) ).
fof(f119,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f114,f44]) ).
fof(f120,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f112,f58]) ).
fof(f146,plain,
( ! [X0] : sk_c6 != X0
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f36,f95]) ).
fof(f163,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),multiply(sk_c5,X0))
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f88,f118]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f163,f88]) ).
fof(f175,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f88,f120]) ).
fof(f178,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f175,f88]) ).
fof(f184,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(equality_resolution,[],[f146]) ).
fof(f185,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f187,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f48,f36]) ).
fof(f188,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f197,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f88,f76]) ).
fof(f198,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f76]) ).
fof(f199,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f197,f68]) ).
fof(f205,plain,
( ! [X0,X1] :
( sk_c6 != multiply(X0,multiply(X1,sk_c7))
| sk_c7 != inverse(multiply(X0,X1)) )
| ~ spl0_3 ),
inference(superposition,[],[f39,f4]) ).
fof(f207,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f39,f76]) ).
fof(f208,plain,
( sk_c6 != sk_c5
| sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f39,f63]) ).
fof(f210,plain,
( sk_c6 != sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f208,f58]) ).
fof(f218,definition,
( spl0_12
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f219,plain,
( identity = sk_c6
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( identity != sk_c6
| spl0_12 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f235,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c5)
| inverse(X0) != sk_c5
| sk_c7 != inverse(sk_c3) )
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f33,f63]) ).
fof(f236,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| multiply(X0,sk_c7) != inverse(identity)
| sk_c6 != multiply(X0,sk_c7) )
| ~ spl0_1 ),
inference(superposition,[],[f33,f1]) ).
fof(f268,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c5)
| inverse(X0) != sk_c5 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f235,f58]) ).
fof(f310,plain,
( multiply(sk_c6,sk_c3) = multiply(sk_c1,identity)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f198,f82]) ).
fof(f323,plain,
( sk_c6 != sk_c6
| sk_c5 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f268,f53]) ).
fof(f324,plain,
( sk_c5 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f323]) ).
fof(f325,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f324,f44]) ).
fof(f326,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f332,definition,
( spl0_29
<=> sk_c6 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f334,plain,
( sk_c6 != sk_c5
| spl0_29 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f336,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f207]) ).
fof(f337,plain,
( ~ spl0_9
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f336,f74,f38,f66]) ).
fof(f339,plain,
( ~ spl0_29
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f210,f61,f56,f38,f332]) ).
fof(f347,plain,
( ! [X0] :
( sk_c7 != inverse(multiply(X0,identity))
| sk_c6 != multiply(X0,sk_c7) )
| ~ spl0_3 ),
inference(superposition,[],[f205,f1]) ).
fof(f457,plain,
( sk_c7 != inverse(multiply(sk_c6,sk_c3))
| multiply(sk_c1,sk_c7) != sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f347,f310]) ).
fof(f463,plain,
( sk_c7 != inverse(multiply(sk_c6,sk_c3))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f457,f76]) ).
fof(f468,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f463,f166]) ).
fof(f474,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f468,f58]) ).
fof(f475,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f478,plain,
( sk_c6 = sk_c5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f178,f119]) ).
fof(f496,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f478,f334]) ).
fof(f497,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f549,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f88,f199]) ).
fof(f563,plain,
( sk_c7 != sk_c7
| multiply(sk_c1,sk_c7) != inverse(identity)
| multiply(sk_c1,sk_c7) != sk_c6
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f236,f68]) ).
fof(f564,plain,
( multiply(sk_c1,sk_c7) != inverse(identity)
| multiply(sk_c1,sk_c7) != sk_c6
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f563]) ).
fof(f566,plain,
( multiply(sk_c1,sk_c7) != inverse(identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f564,f76]) ).
fof(f585,plain,
( sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f566,f76]) ).
fof(f716,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f585,f219]) ).
fof(f996,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c6) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f108,f219]) ).
fof(f1008,plain,
( ! [X0] : multiply(X0,sk_c6) = X0
| ~ spl0_12 ),
inference(superposition,[],[f109,f996]) ).
fof(f1241,plain,
( identity = inverse(sk_c6)
| ~ spl0_12 ),
inference(superposition,[],[f1008,f3]) ).
fof(f1284,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1241,f219]) ).
fof(f1289,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1284,f716]) ).
fof(f1290,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1413,plain,
( identity = sk_c6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f549,f3]) ).
fof(f1426,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f1413,f220]) ).
fof(f1427,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f40]) ).
cnf(s4,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f59]) ).
cnf(s6,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f69]) ).
cnf(s7,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f70]) ).
cnf(s8,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f71]) ).
cnf(s9,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f72]) ).
cnf(s10,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f77]) ).
cnf(s11,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f78]) ).
cnf(s12,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f79]) ).
cnf(s13,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f80]) ).
cnf(s14,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f185]) ).
cnf(s16,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f188]) ).
cnf(s29,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f326]) ).
cnf(s31,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f337]) ).
cnf(s33,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_29 ),
inference(sat_conversion,[],[f339]) ).
cnf(s38,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f475]) ).
cnf(s40,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_29 ),
inference(sat_conversion,[],[f497]) ).
cnf(s66,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f1290]) ).
cnf(s72,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f1427]) ).
cnf(s73,plain,
( spl0_4
| ~ spl0_3 ),
inference(rat,[],[s31,s6,s10]) ).
cnf(s74,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s40,s33,s11,s12,s13,s73]) ).
cnf(s75,plain,
~ spl0_3,
inference(rat,[],[s38,s7,s8,s31,s74,s73]) ).
cnf(s76,plain,
~ spl0_2,
inference(rat,[],[s4,s14,s16]) ).
cnf(s77,plain,
spl0_1,
inference(rat,[],[s1,s75,s76]) ).
cnf(s79,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s29,s11,s12,s13,s77]) ).
cnf(s80,plain,
( ~ spl0_10
| ~ spl0_9 ),
inference(rat,[],[s66,s72,s77]) ).
cnf(s81,plain,
~ spl0_4,
inference(rat,[],[s29,s7,s8,s9,s80,s79,s77]) ).
cnf(s82,plain,
spl0_10,
inference(rat,[],[s10,s81]) ).
cnf(s83,plain,
spl0_9,
inference(rat,[],[s6,s81]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s80,s83,s82]) ).
fof(f1428,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP214-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:38:09 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
% 0.16/0.50 % (980296)Will run a generic schedule for satisfiability detection.
% 0.16/0.50 % (980304)dis+10_1_sil=32000:sp=arity:random_seed=2830158293:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.50 % (980302)% WARNING: option uhcvi not known.
% 0.16/0.50 % (980302)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2052646256:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.50 % (980303)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=901312344:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.50 % (980301)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2635762053_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.50 % (980305)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=537875006:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.50 % TRYING [1]
% 0.16/0.50 % TRYING [2]
% 0.16/0.50 % TRYING [3]
% 0.16/0.50 % TRYING [4]
% 0.16/0.50 % (980307)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3877470801:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.50 % (980306)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4219279223:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50 % TRYING [5]
% 0.16/0.50 % (980304)Instruction limit reached!
% 0.16/0.50 % (980304)------------------------------
% 0.16/0.50 % (980304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (980304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (980304)CaDiCaL version: 2.1.3
% 0.16/0.50 % (980304)Termination reason: Instruction limit
% 0.16/0.50 % (980304)Termination phase: Saturation
% 0.16/0.50 % (980304)Time elapsed: 0.032 s
% 0.16/0.50 % (980304)Peak memory usage: 12 MB
% 0.16/0.50 % (980304)Instructions burned: 103 (million)
% 0.16/0.50 % (980302) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-980296-980302"...
% 0.16/0.50 % (980302)...printing done.
% 0.16/0.50 % (980302)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (980302)------------------------------
% 0.16/0.50 % (980302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (980302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (980302)CaDiCaL version: 2.1.3
% 0.16/0.50 % (980302)Termination reason: Refutation
% 0.16/0.50 % (980302)Time elapsed: 0.036 s
% 0.16/0.50 % (980302)Peak memory usage: 13 MB
% 0.16/0.50 % (980302)Instructions burned: 58 (million)
% 0.16/0.50 % (980296)Success in time 0.076 s
% 0.16/0.50 % Vampire exiting
%------------------------------------------------------------------------------