%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP300-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 2.71s 1.27s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 27
% Syntax : Number of formulae : 146 ( 15 unt; 12 def)
% Number of atoms : 407 ( 138 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 471 ( 210 ~; 249 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c4
| multiply(sk_c5,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c6 = multiply(sk_c5,sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c4
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c5 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c4
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c4
| inverse(sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c4 = inverse(sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c5,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c5 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c4) ),
inference(reorient_equations,[],[f17]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| inverse(sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c5 = multiply(sk_c1,sk_c6)
| sk_c4 = inverse(sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c5,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c6 = inverse(sk_c1)
| sk_c4 = inverse(sk_c6) ),
inference(reorient_equations,[],[f35]) ).
fof(f43,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c4 = inverse(sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f53,negated_conjecture,
! [X2,X0,X1] :
( multiply(sk_c6,sk_c5) != sk_c4
| multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| multiply(sk_c5,sk_c4) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| inverse(X1) != sk_c6
| inverse(sk_c6) != sk_c4
| multiply(X2,sk_c4) != sk_c5
| inverse(X2) != sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X0,X1] :
( multiply(sk_c6,sk_c5) != sk_c4
| sk_c5 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6
| sk_c5 != multiply(sk_c4,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c4)
| sk_c5 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1)
| sk_c4 != inverse(sk_c6)
| sk_c5 != multiply(X2,sk_c4)
| sk_c4 != inverse(X2) ),
inference(reorient_equations,[],[f53]) ).
fof(f56,definition,
( spl0_1
<=> ! [X2] :
( sk_c5 != multiply(X2,sk_c4)
| sk_c4 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f57,plain,
( ! [X2] :
( sk_c4 != inverse(X2)
| sk_c5 != multiply(X2,sk_c4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,definition,
( spl0_2
<=> sk_c4 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f60,plain,
( sk_c4 = inverse(sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f61,plain,
( sk_c4 != inverse(sk_c6)
| spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,definition,
( spl0_3
<=> ! [X1] :
( sk_c5 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,plain,
( ! [X1] :
( sk_c6 != inverse(X1)
| sk_c5 != multiply(X1,sk_c6) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,definition,
( spl0_4
<=> sk_c6 = multiply(sk_c5,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f67,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f68,plain,
( sk_c6 != multiply(sk_c5,sk_c4)
| spl0_4 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f70,definition,
( spl0_5
<=> sk_c5 = multiply(sk_c4,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f71,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl0_6
<=> multiply(sk_c6,sk_c5) = sk_c4 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( multiply(sk_c6,sk_c5) = sk_c4
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( multiply(sk_c6,sk_c5) != sk_c4
| spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f54,f74,f63,f70,f66,f63,f59,f56]) ).
fof(f88,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f48,f70,f59]) ).
fof(f90,definition,
( spl0_9
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f92,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f46,f70,f90]) ).
fof(f95,definition,
( spl0_10
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f97,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f70,f95]) ).
fof(f101,definition,
( spl0_11
<=> sk_c6 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f103,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f106,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f36,f101,f59]) ).
fof(f109,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f30,f101,f66]) ).
fof(f111,definition,
( spl0_12
<=> sk_c5 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f113,plain,
( sk_c5 = multiply(sk_c1,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f116,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f24,f111,f59]) ).
fof(f119,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f18,f111,f66]) ).
fof(f122,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f74,f59]) ).
fof(f123,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f74,f90]) ).
fof(f124,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f74,f95]) ).
fof(f125,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f74,f66]) ).
fof(f126,plain,
( identity = multiply(sk_c4,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f3,f60]) ).
fof(f130,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f136,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f130,f1]) ).
fof(f138,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl0_2 ),
inference(superposition,[],[f4,f126]) ).
fof(f139,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f138,f1]) ).
fof(f186,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f136,f97]) ).
fof(f196,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f186,f92]) ).
fof(f206,plain,
( sk_c6 != sk_c4
| spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f76,f196]) ).
fof(f207,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f139,f196]) ).
fof(f213,plain,
( spl0_5
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f207,f95,f90,f59,f70]) ).
fof(f222,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f71]) ).
fof(f223,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f222,f139]) ).
fof(f225,plain,
( sk_c6 = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f223,f67]) ).
fof(f232,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f225,f206]) ).
fof(f233,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f254,plain,
( sk_c6 != sk_c4
| sk_c5 != multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f64,f60]) ).
fof(f268,definition,
( spl0_14
<=> sk_c6 = sk_c4 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f269,plain,
( sk_c6 = sk_c4
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f273,definition,
( spl0_15
<=> sk_c5 = multiply(sk_c6,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f274,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( ~ spl0_15
| ~ spl0_14
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f254,f63,f59,f268,f273]) ).
fof(f279,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_11 ),
inference(superposition,[],[f3,f103]) ).
fof(f285,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f225,f70,f66,f59,f268]) ).
fof(f287,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f71,f269]) ).
fof(f300,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f287,f268,f70,f273]) ).
fof(f304,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f75,f269]) ).
fof(f306,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c5)
| ~ spl0_12 ),
inference(superposition,[],[f136,f113]) ).
fof(f309,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f306,f103]) ).
fof(f311,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f136,f304]) ).
fof(f313,plain,
( identity = sk_c5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f311,f3]) ).
fof(f314,plain,
( ! [X2] :
( sk_c5 != multiply(X2,sk_c6)
| sk_c4 != inverse(X2) )
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f57,f269]) ).
fof(f315,plain,
( ! [X2] :
( sk_c6 != inverse(X2)
| sk_c5 != multiply(X2,sk_c6) )
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f314,f269]) ).
fof(f316,plain,
( spl0_3
| ~ spl0_1
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f315,f268,f56,f63]) ).
fof(f317,plain,
( sk_c6 != sk_c4
| ~ spl0_2
| spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f68,f223]) ).
fof(f318,plain,
( ~ spl0_14
| ~ spl0_2
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f317,f70,f66,f59,f268]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f75]) ).
fof(f331,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f274]) ).
fof(f347,plain,
( sk_c6 = sk_c4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f75,f309]) ).
fof(f357,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f347,f111,f101,f74,f268]) ).
fof(f364,plain,
( sk_c5 = multiply(sk_c6,sk_c1)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f279,f313]) ).
fof(f384,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f321,f269]) ).
fof(f393,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c5,sk_c1)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f331,f364]) ).
fof(f398,plain,
( sk_c4 = multiply(sk_c5,sk_c1)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f393,f75]) ).
fof(f404,plain,
( sk_c6 = multiply(sk_c5,sk_c1)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f398,f269]) ).
fof(f418,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f136,f384]) ).
fof(f421,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f418,f136]) ).
fof(f426,plain,
( sk_c6 = sk_c1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f421,f404]) ).
fof(f434,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f103,f426]) ).
fof(f438,plain,
( sk_c6 != sk_c4
| spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f61,f434]) ).
fof(f442,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f438,f269]) ).
fof(f443,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f442]) ).
cnf(s1,plain,
( spl0_3
| ~ spl0_2
| spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f77]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s5,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f88]) ).
cnf(s6,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f93]) ).
cnf(s7,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f98]) ).
cnf(s11,plain,
( spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f106]) ).
cnf(s14,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f109]) ).
cnf(s17,plain,
( spl0_2
| spl0_12 ),
inference(sat_conversion,[],[f116]) ).
cnf(s20,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f119]) ).
cnf(s23,plain,
( spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f122]) ).
cnf(s24,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f123]) ).
cnf(s25,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f124]) ).
cnf(s26,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f125]) ).
cnf(s27,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f213]) ).
cnf(s29,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f233]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f276]) ).
cnf(s37,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f285]) ).
cnf(s39,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f300]) ).
cnf(s42,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_14 ),
inference(sat_conversion,[],[f316]) ).
cnf(s43,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_14 ),
inference(sat_conversion,[],[f318]) ).
cnf(s46,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f357]) ).
cnf(s49,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f443]) ).
cnf(s50,plain,
spl0_2,
inference(rat,[],[s49,s39,s46,s5,s11,s17,s23]) ).
cnf(s51,plain,
( ~ spl0_5
| ~ spl0_4
| spl0_1
| spl0_3 ),
inference(rat,[],[s29,s24,s25,s2,s50]) ).
cnf(s52,plain,
spl0_5,
inference(rat,[],[s27,s6,s7,s50]) ).
cnf(s53,plain,
spl0_4,
inference(rat,[],[s46,s14,s20,s26,s43,s50,s52]) ).
cnf(s54,plain,
spl0_14,
inference(rat,[],[s37,s52,s50,s53]) ).
cnf(s55,plain,
spl0_15,
inference(rat,[],[s39,s52,s54]) ).
cnf(s56,plain,
~ spl0_3,
inference(rat,[],[s34,s54,s50,s55]) ).
cnf(s57,plain,
~ spl0_1,
inference(rat,[],[s42,s54,s56]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s51,s52,s53,s57,s56]) ).
fof(f444,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP300-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.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 09:49:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.71/1.27 % (3145487)Input is clausal, will run a generic CNF schedule.
% 2.71/1.27 % (3145496)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1144529883:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.71/1.27 % (3145494)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3426645333:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.71/1.27 % (3145493)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3960756578:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.71/1.27 % (3145492)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=916566654:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.71/1.27 % (3145495)lrs+10_1_sil=8000:sp=occurrence:random_seed=1798955559:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.71/1.27 % (3145496)Instruction limit reached!
% 2.71/1.27 % (3145496)------------------------------
% 2.71/1.27 % (3145496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.27 % (3145496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.27 % (3145496)CaDiCaL version: 2.1.3
% 2.71/1.27 % (3145496)Termination reason: Instruction limit
% 2.71/1.27 % (3145496)Termination phase: Saturation
% 2.71/1.27 % (3145496)Time elapsed: 0.037 s
% 2.71/1.27 % (3145496)Peak memory usage: 89 MB
% 2.71/1.27 % (3145496)Instructions burned: 114 (million)
% 2.71/1.27 % (3145497)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3579497394:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.71/1.27 % (3145495)Refutation not found, incomplete strategy
% 2.71/1.27 % (3145495)------------------------------
% 2.71/1.27 % (3145495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.27 % (3145495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.27 % (3145495)CaDiCaL version: 2.1.3
% 2.71/1.27 % (3145495)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.27 % (3145495)Time elapsed: 0.002 s
% 2.71/1.27 % (3145495)Peak memory usage: 88 MB
% 2.71/1.27 % (3145495)Instructions burned: 2 (million)
% 2.71/1.27 % (3145498)dis-21_1_sil=8000:lcm=predicate:random_seed=1109745465:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.71/1.27 % (3145498)Refutation not found, incomplete strategy
% 2.71/1.27 % (3145498)------------------------------
% 2.71/1.27 % (3145498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.27 % (3145498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.27 % (3145498)CaDiCaL version: 2.1.3
% 2.71/1.27 % (3145498)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.27 % (3145498)Time elapsed: 0.001 s
% 2.71/1.27 % (3145498)Peak memory usage: 88 MB
% 2.71/1.27 % (3145498)Instructions burned: 1 (million)
% 2.71/1.27 % (3145497)First to succeed.
% 2.71/1.27 % (3145497)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3145487"
% 2.71/1.27 % (3145506)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1864899874:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.71/1.27 % (3145506)Refutation not found, incomplete strategy
% 2.71/1.27 % (3145506)------------------------------
% 2.71/1.27 % (3145506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.27 % (3145506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.27 % (3145506)CaDiCaL version: 2.1.3
% 2.71/1.27 % (3145506)Termination reason: Refutation not found, incomplete strategy
% 2.71/1.27 % (3145506)Time elapsed: 0.001 s
% 2.71/1.27 % (3145506)Peak memory usage: 88 MB
% 2.71/1.27 % (3145506)Instructions burned: 2 (million)
% 2.71/1.27 % (3145495)------------------------------
% 2.71/1.27 % (3145495)------------------------------
% 2.71/1.27 % (3145498)------------------------------
% 2.71/1.27 % (3145498)------------------------------
% 2.71/1.27 % (3145506)------------------------------
% 2.71/1.27 % (3145506)------------------------------
% 2.71/1.27 % (3145497)Refutation found. Thanks to Tanya!
% 2.71/1.27 % SZS status Unsatisfiable for theBenchmark
% 2.71/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.47 % (3145497)------------------------------
% 3.57/1.47 % (3145497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.47 % (3145497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.47 % (3145497)CaDiCaL version: 2.1.3
% 3.57/1.47 % (3145497)Termination reason: Refutation
% 3.57/1.47 % (3145497)Time elapsed: 0.013 s
% 3.57/1.47 % (3145497)Peak memory usage: 89 MB
% 3.57/1.47 % (3145497)Instructions burned: 16 (million)
% 3.57/1.47 % (3145497)------------------------------
% 3.57/1.47 % (3145497)------------------------------
% 3.57/1.47 % (3145487)Success in time 0.421 s
% 3.57/1.47 % Vampire exiting
%------------------------------------------------------------------------------