%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN036-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:49:02 PM UTC 2026
% Result : Unsatisfiable 3.05s 1.08s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of formulae : 138 ( 8 unt; 14 def)
% Number of atoms : 435 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 501 ( 204 ~; 283 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 15 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ p(cx)
| ~ q(cw)
| p(X0)
| q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ~ p(cx)
| ~ q(X0)
| p(X1)
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ p(X0)
| ~ q(cw)
| p(cx)
| q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( ~ p(X0)
| ~ q(X1)
| p(cx)
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ p(cx)
| ~ p(X0)
| ~ p(fy5(X0))
| ~ q(cw)
| q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ p(cx)
| ~ p(X0)
| ~ p(fy5(X0))
| ~ q(X1)
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ p(cx)
| ~ q(cw)
| ~ q(X0)
| ~ q(fz5(X0))
| p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( ~ p(cx)
| p(X0)
| q(cw)
| q(X1)
| q(fz(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0)
| ~ q(X1)
| p(X2)
| p(fy5(X2))
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( ~ p(X0)
| p(cx)
| q(cw)
| q(X1)
| q(fz(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f16,negated_conjecture,
! [X0,X1] :
( ~ p(X0)
| ~ q(cw)
| ~ q(X1)
| ~ q(fz5(X1))
| p(cx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0)
| ~ q(X1)
| p(cx)
| q(X2)
| q(fz5(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f19,negated_conjecture,
! [X0,X1] :
( ~ q(cw)
| p(cx)
| p(X0)
| p(fy(X0))
| q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
! [X0,X1] :
( ~ q(X0)
| p(cx)
| p(X1)
| p(fy(X1))
| q(cw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f22,negated_conjecture,
! [X0,X1] :
( ~ p(cx)
| ~ p(X0)
| ~ p(fy(X0))
| q(cw)
| q(X1)
| q(fz(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
fof(f23,negated_conjecture,
! [X0,X1] :
( ~ p(cx)
| ~ p(X0)
| ~ p(fy5(X0))
| ~ q(cw)
| ~ q(X1)
| ~ q(fz5(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f30,negated_conjecture,
! [X0,X1] :
( ~ q(cw)
| ~ q(X0)
| ~ q(fz(X0))
| p(cx)
| p(X1)
| p(fy(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
fof(f32,negated_conjecture,
! [X0,X1] :
( p(cx)
| p(X0)
| p(fy5(X0))
| q(cw)
| q(X1)
| q(fz5(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
fof(f34,definition,
( spl0_1
<=> ! [X1] :
( q(X1)
| q(fz5(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f35,plain,
( ! [X1] :
( q(X1)
| q(fz5(X1)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f37,definition,
( spl0_2
<=> q(cw) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f41,definition,
( spl0_3
<=> ! [X0] :
( p(X0)
| p(fy5(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f42,plain,
( ! [X0] :
( p(fy5(X0))
| p(X0) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,definition,
( spl0_4
<=> p(cx) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f46,plain,
( p(cx)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f32,f44,f41,f37,f34]) ).
fof(f49,definition,
( spl0_5
<=> ! [X0] :
( ~ q(X0)
| ~ q(fz5(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f50,plain,
( ! [X0] :
( ~ q(fz5(X0))
| ~ q(X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl0_6
<=> ! [X1] :
( p(X1)
| p(fy(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f54,plain,
( ! [X1] :
( p(fy(X1))
| p(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,definition,
( spl0_7
<=> ! [X0] :
( ~ q(X0)
| ~ q(fz(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f57,plain,
( ! [X0] :
( ~ q(X0)
| ~ q(fz(X0)) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f58,plain,
( spl0_6
| spl0_4
| spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f30,f37,f56,f44,f53]) ).
fof(f60,definition,
( spl0_8
<=> ! [X0] :
( ~ p(X0)
| ~ p(fy5(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f61,plain,
( ! [X0] :
( ~ p(fy5(X0))
| ~ p(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f64,definition,
( spl0_9
<=> ! [X3] : q(X3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f65,plain,
( ! [X3] : q(X3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,definition,
( spl0_10
<=> ! [X0] : ~ p(X0) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f68,plain,
( ! [X0] : ~ p(X0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f71,definition,
( spl0_11
<=> ! [X3] :
( q(X3)
| q(fz(X3)) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f72,plain,
( ! [X3] :
( q(fz(X3))
| q(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_12
<=> ! [X1] : ~ q(X1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f75,plain,
( ! [X1] : ~ q(X1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_13
<=> ! [X2] : p(X2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f79,plain,
( ! [X2] : p(X2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,definition,
( spl0_14
<=> ! [X0] :
( ~ p(X0)
| ~ p(fy(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f82,plain,
( ! [X0] :
( ~ p(fy(X0))
| ~ p(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f86,plain,
( spl0_5
| ~ spl0_2
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f23,f44,f60,f37,f49]) ).
fof(f87,plain,
( spl0_11
| spl0_2
| spl0_14
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f22,f44,f81,f37,f71]) ).
fof(f89,plain,
( spl0_2
| spl0_6
| spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f20,f74,f44,f53,f37]) ).
fof(f90,plain,
( spl0_9
| spl0_6
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f19,f37,f44,f53,f64]) ).
fof(f92,plain,
( spl0_1
| spl0_4
| spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f17,f67,f74,f44,f34]) ).
fof(f93,plain,
( spl0_4
| spl0_5
| ~ spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f16,f67,f37,f49,f44]) ).
fof(f94,plain,
( spl0_11
| spl0_2
| spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f15,f67,f44,f37,f71]) ).
fof(f95,plain,
( spl0_2
| spl0_3
| spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f14,f67,f74,f41,f37]) ).
fof(f102,plain,
( spl0_11
| spl0_2
| spl0_13
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f10,f44,f78,f37,f71]) ).
fof(f105,plain,
( spl0_13
| spl0_5
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f7,f44,f37,f49,f78]) ).
fof(f106,plain,
( spl0_2
| spl0_12
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f6,f44,f60,f74,f37]) ).
fof(f107,plain,
( spl0_9
| ~ spl0_2
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f44,f60,f37,f64]) ).
fof(f108,plain,
( spl0_2
| spl0_4
| spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f4,f67,f74,f44,f37]) ).
fof(f109,plain,
( spl0_9
| spl0_4
| ~ spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f3,f67,f37,f44,f64]) ).
fof(f110,plain,
( spl0_2
| spl0_13
| spl0_12
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f2,f44,f74,f78,f37]) ).
fof(f111,plain,
( spl0_9
| spl0_13
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1,f44,f37,f78,f64]) ).
fof(f112,plain,
( ! [X0] : ~ q(X0)
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f50,f65]) ).
fof(f113,plain,
( $false
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f112,f65]) ).
fof(f114,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f115,plain,
( ! [X0] : ~ q(fz(X0))
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f57,f65]) ).
fof(f116,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f115,f65]) ).
fof(f117,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f118,plain,
( ! [X1] : p(fy(X1))
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f54,f68]) ).
fof(f119,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f118,f68]) ).
fof(f120,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f123,plain,
( $false
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f75,f65]) ).
fof(f124,plain,
( ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f126,plain,
( ! [X0] : q(X0)
| ~ spl0_11
| ~ spl0_12 ),
inference(resolution,[],[f72,f75]) ).
fof(f127,plain,
( $false
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f126,f75]) ).
fof(f128,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f129,plain,
( ! [X0] : p(X0)
| ~ spl0_3
| ~ spl0_10 ),
inference(resolution,[],[f68,f42]) ).
fof(f130,plain,
( $false
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f129,f68]) ).
fof(f131,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f130]) ).
fof(f132,plain,
( ! [X1] : q(fz5(X1))
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f35,f75]) ).
fof(f133,plain,
( $false
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f132,f75]) ).
fof(f134,plain,
( ~ spl0_1
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f135,plain,
( $false
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f46,f68]) ).
fof(f136,plain,
( ~ spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f139,plain,
( ! [X0] : ~ p(X0)
| ~ spl0_8
| ~ spl0_13 ),
inference(resolution,[],[f79,f61]) ).
fof(f140,plain,
( $false
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f139,f79]) ).
fof(f141,plain,
( ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f142,plain,
( ! [X0] : ~ p(X0)
| ~ spl0_13
| ~ spl0_14 ),
inference(resolution,[],[f82,f79]) ).
fof(f143,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f142,f79]) ).
fof(f144,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f143]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f47]) ).
cnf(s3,plain,
( ~ spl0_2
| spl0_4
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f58]) ).
cnf(s10,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s11,plain,
( spl0_2
| ~ spl0_4
| spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f87]) ).
cnf(s13,plain,
( spl0_2
| spl0_4
| spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f89]) ).
cnf(s14,plain,
( ~ spl0_2
| spl0_4
| spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f90]) ).
cnf(s16,plain,
( spl0_1
| spl0_4
| spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f92]) ).
cnf(s17,plain,
( ~ spl0_2
| spl0_4
| spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f93]) ).
cnf(s18,plain,
( spl0_2
| spl0_4
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f94]) ).
cnf(s19,plain,
( spl0_2
| spl0_3
| spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f95]) ).
cnf(s23,plain,
( spl0_2
| ~ spl0_4
| spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f102]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f105]) ).
cnf(s27,plain,
( spl0_2
| ~ spl0_4
| spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f106]) ).
cnf(s28,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f107]) ).
cnf(s29,plain,
( spl0_2
| spl0_4
| spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s30,plain,
( ~ spl0_2
| spl0_4
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f109]) ).
cnf(s31,plain,
( spl0_2
| ~ spl0_4
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f110]) ).
cnf(s32,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f111]) ).
cnf(s33,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f114]) ).
cnf(s34,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f117]) ).
cnf(s35,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f120]) ).
cnf(s37,plain,
( ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s38,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s39,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(sat_conversion,[],[f131]) ).
cnf(s40,plain,
( ~ spl0_1
| ~ spl0_12 ),
inference(sat_conversion,[],[f134]) ).
cnf(s41,plain,
( ~ spl0_4
| ~ spl0_10 ),
inference(sat_conversion,[],[f136]) ).
cnf(s43,plain,
( ~ spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f141]) ).
cnf(s44,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f144]) ).
cnf(s45,plain,
( spl0_11
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s44,s23,s11]) ).
cnf(s46,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s45,s38,s19,s41,s1]) ).
cnf(s47,plain,
( spl0_12
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s43,s31,s27]) ).
cnf(s48,plain,
( ~ spl0_4
| spl0_2 ),
inference(rat,[],[s47,s38,s45]) ).
cnf(s49,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s38,s18,s16,s48,s39,s46]) ).
cnf(s50,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s33,s28,s10]) ).
cnf(s51,plain,
( spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s33,s32,s26]) ).
cnf(s52,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s51,s43,s50]) ).
cnf(s54,plain,
( spl0_6
| spl0_4
| ~ spl0_2 ),
inference(rat,[],[s34,s3,s14]) ).
cnf(s55,plain,
spl0_1,
inference(rat,[],[s37,s30,s16,s35,s54,s52,s49]) ).
cnf(s56,plain,
~ spl0_12,
inference(rat,[],[s40,s55]) ).
cnf(s57,plain,
( spl0_10
| spl0_4
| ~ spl0_2 ),
inference(rat,[],[s33,s17,s30]) ).
cnf(s58,plain,
( spl0_4
| ~ spl0_2 ),
inference(rat,[],[s57,s35,s54]) ).
cnf(s59,plain,
~ spl0_2,
inference(rat,[],[s58,s52]) ).
cnf(s61,plain,
~ spl0_4,
inference(rat,[],[s48,s59]) ).
cnf(s62,plain,
spl0_6,
inference(rat,[],[s13,s61,s56,s59]) ).
cnf(s63,plain,
spl0_10,
inference(rat,[],[s29,s56,s59,s61]) ).
cnf(s64,plain,
$false,
inference(rat,[],[s35,s63,s62]) ).
fof(f145,plain,
$false,
inference(avatar_sat_refutation,[],[s64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:24:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.05/1.08 % (3937745)Input is clausal, will run a generic CNF schedule.
% 3.05/1.08 % (3937750)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=4125504279:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.05/1.08 % (3937752)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3421329660:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.05/1.08 % (3937751)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2339881246:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.05/1.08 % (3937753)lrs+10_1_sil=8000:sp=occurrence:random_seed=3619590009:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.05/1.08 % (3937753)First to succeed.
% 3.05/1.08 % (3937753)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3937745"
% 3.05/1.08 % (3937754)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=663537326:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.05/1.08 % (3937756)dis-21_1_sil=8000:lcm=predicate:random_seed=3381144970: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)
% 3.05/1.08 % (3937755)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2638881488:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.05/1.08 % (3937754)Also succeeded, but the first one will report.
% 3.05/1.08 % (3937755)Also succeeded, but the first one will report.
% 3.05/1.08 % (3937756)Also succeeded, but the first one will report.
% 3.05/1.08 % (3937753)Refutation found. Thanks to Tanya!
% 3.05/1.08 % SZS status Unsatisfiable for theBenchmark
% 3.05/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.28 % (3937753)------------------------------
% 3.53/1.28 % (3937753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.28 % (3937753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.28 % (3937753)CaDiCaL version: 2.1.3
% 3.53/1.28 % (3937753)Termination reason: Refutation
% 3.53/1.28 % (3937753)Time elapsed: 0.004 s
% 3.53/1.28 % (3937753)Peak memory usage: 89 MB
% 3.53/1.28 % (3937753)Instructions burned: 4 (million)
% 3.53/1.28 % (3937753)------------------------------
% 3.53/1.28 % (3937753)------------------------------
% 3.53/1.28 % (3937745)Success in time 0.41 s
% 3.53/1.28 % Vampire exiting
%------------------------------------------------------------------------------