%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP285-1 : 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 : n014.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 10:17:23 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 28
% Syntax : Number of formulae : 144 ( 17 unt; 13 def)
% Number of atoms : 406 ( 143 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 496 ( 234 ~; 249 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 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_c9,sk_c8) = sk_c7
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f13,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c9,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c7
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c7
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f49]) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c9,sk_c8) != sk_c7
| multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| multiply(X1,sk_c9) != sk_c7
| multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c7
| multiply(sk_c9,X4) != sk_c7
| multiply(X5,sk_c9) != X4
| inverse(X5) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c7 != multiply(X1,sk_c9)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(sk_c9,X4)
| multiply(X5,sk_c9) != X4
| sk_c9 != inverse(X5) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X5] :
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c7 != multiply(X1,sk_c9)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) ),
inference(equality_resolution,[],[f62]) ).
fof(f65,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f66,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f69,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_3
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f72,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_4
<=> ! [X1] : sk_c7 != multiply(X1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f75,plain,
( ! [X1] : sk_c7 != multiply(X1,sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,definition,
( spl0_5
<=> multiply(sk_c9,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f78,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f79,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| spl0_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f63,f77,f71,f74,f71,f68,f65]) ).
fof(f82,definition,
( spl0_6
<=> sk_c9 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f84,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f88,plain,
( sk_c7 = multiply(sk_c2,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f91,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c5,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f93,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f96,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c9,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f98,plain,
( sk_c7 = multiply(sk_c9,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f111,definition,
( spl0_12
<=> sk_c9 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f113,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f50,f86,f111]) ).
fof(f116,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f118,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f48,f86,f116]) ).
fof(f121,definition,
( spl0_14
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f123,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f129,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f121,f111]) ).
fof(f130,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f121,f116]) ).
fof(f132,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f134,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f140,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f132,f111]) ).
fof(f141,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f132,f116]) ).
fof(f142,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f18,f77,f82]) ).
fof(f143,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f77,f91]) ).
fof(f144,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f77,f96]) ).
fof(f147,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f77,f111]) ).
fof(f148,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f77,f116]) ).
fof(f154,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f163,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f154,f1]) ).
fof(f207,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f163,f118]) ).
fof(f211,plain,
( sk_c9 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f163,f93]) ).
fof(f216,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f211,f84]) ).
fof(f220,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f207,f113]) ).
fof(f221,plain,
( sk_c9 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f216,f98]) ).
fof(f234,plain,
( sk_c9 != sk_c7
| spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f79,f220]) ).
fof(f241,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f234,f221]) ).
fof(f242,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f247,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f72,f118]) ).
fof(f249,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f247]) ).
fof(f272,plain,
( ~ spl0_12
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f249,f116,f71,f111]) ).
fof(f275,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f72,f134]) ).
fof(f276,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_15 ),
inference(superposition,[],[f163,f134]) ).
fof(f278,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f275]) ).
fof(f279,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f276,f123]) ).
fof(f280,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f278,f123]) ).
fof(f281,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f355,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f66,f118]) ).
fof(f357,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_15 ),
inference(superposition,[],[f66,f134]) ).
fof(f370,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f357,f78]) ).
fof(f371,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f355,f78]) ).
fof(f382,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f370,f123]) ).
fof(f383,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f384,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f371,f113]) ).
fof(f385,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f412,plain,
( sk_c9 = sk_c7
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f220,f78]) ).
fof(f469,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f69,f412]) ).
fof(f472,plain,
( spl0_3
| ~ spl0_2
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f469,f116,f111,f77,f68,f71]) ).
fof(f473,plain,
( ! [X1] : sk_c9 != multiply(X1,sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f75,f412]) ).
fof(f474,plain,
( sk_c9 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f473,f1]) ).
fof(f481,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f474]) ).
fof(f482,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f485,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(backward_subsumption_resolution,[],[f88,f75]) ).
fof(f492,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f518,plain,
( sk_c9 = sk_c7
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f279,f78]) ).
fof(f533,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f69,f518]) ).
fof(f539,plain,
( spl0_3
| ~ spl0_2
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f533,f132,f121,f77,f68,f71]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f80]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f114]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s15,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s16,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f130]) ).
cnf(s22,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f140]) ).
cnf(s23,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f141]) ).
cnf(s24,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f142]) ).
cnf(s25,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f143]) ).
cnf(s26,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f144]) ).
cnf(s29,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f147]) ).
cnf(s30,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f148]) ).
cnf(s31,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f242]) ).
cnf(s35,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f272]) ).
cnf(s36,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f281]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f383]) ).
cnf(s52,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f385]) ).
cnf(s55,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f472]) ).
cnf(s56,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f482]) ).
cnf(s58,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f492]) ).
cnf(s59,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f539]) ).
cnf(s60,plain,
spl0_5,
inference(rat,[],[s31,s24,s25,s26,s29,s30]) ).
cnf(s61,plain,
~ spl0_4,
inference(rat,[],[s56,s8,s9,s58,s60]) ).
cnf(s63,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s36,s16,s23]) ).
cnf(s64,plain,
( ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s36,s15,s22,s35]) ).
cnf(s65,plain,
~ spl0_3,
inference(rat,[],[s64,s63]) ).
cnf(s66,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s59,s16,s23,s60,s65]) ).
cnf(s67,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s59,s15,s22,s55,s65,s60]) ).
cnf(s68,plain,
~ spl0_2,
inference(rat,[],[s67,s66]) ).
cnf(s69,plain,
spl0_1,
inference(rat,[],[s2,s60,s61,s65,s68]) ).
cnf(s70,plain,
spl0_13,
inference(rat,[],[s51,s16,s23,s60,s69]) ).
cnf(s71,plain,
~ spl0_12,
inference(rat,[],[s52,s69,s60,s70]) ).
cnf(s72,plain,
spl0_15,
inference(rat,[],[s22,s71]) ).
cnf(s73,plain,
spl0_14,
inference(rat,[],[s15,s71]) ).
cnf(s75,plain,
$false,
inference(rat,[],[s51,s69,s60,s72,s73]) ).
fof(f540,plain,
$false,
inference(avatar_sat_refutation,[],[s75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP285-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n014.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 09:48:19 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 0.17/0.48 % (554161)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (554167)% WARNING: option uhcvi not known.
% 0.17/0.48 % (554167)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2640714374:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (554167) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-554161-554167"...
% 0.17/0.48 % (554166)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2974525808_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (554171)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1301264168:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (554169)dis+10_1_sil=32000:sp=arity:random_seed=2316369167:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (554168)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1486509999:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (554167)...printing done.
% 0.17/0.48 % (554172)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=248531362:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (554170)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2251457129:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (554167)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (554167)------------------------------
% 0.17/0.48 % (554167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (554167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (554167)CaDiCaL version: 2.1.3
% 0.17/0.48 % (554167)Termination reason: Refutation
% 0.17/0.48 % (554167)Time elapsed: 0.007 s
% 0.17/0.48 % (554167)Peak memory usage: 12 MB
% 0.17/0.48 % (554167)Instructions burned: 19 (million)
% 0.17/0.48 % (554161)Success in time 0.036 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------