%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN036+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 02:06:28 PM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of formulae : 160 ( 13 unt; 19 def)
% Number of atoms : 429 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 472 ( 203 ~; 229 |; 0 &)
% ( 39 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 24 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 69 ( 0 sgn 57 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_q(X3) ) )
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_p(X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel34) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_q(X3) ) )
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_p(X7) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_q(X3) ) )
<~> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_p(X7) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X4] :
( big_q(sK10(X4))
| big_q(X4)
| sP1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
! [X4] :
( ~ big_q(sK10(X4))
| ~ big_q(X4)
| sP1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
! [X5] :
( ~ big_q(X5)
| big_q(sK6)
| ~ sP1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f7,plain,
! [X5] :
( big_q(X5)
| ~ big_q(sK6)
| ~ sP1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f8,plain,
! [X0] :
( big_p(sK7(X0))
| big_p(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0] :
( ~ big_p(sK7(X0))
| ~ big_p(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_p(X1)
| big_p(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( big_p(X1)
| ~ big_p(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f12,plain,
! [X7] :
( big_p(X7)
| big_p(sK11)
| sP2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X6] :
( ~ big_p(sK12)
| ~ big_p(X6)
| sP2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
! [X6,X7] :
( big_p(X7)
| ~ big_p(X6)
| ~ sP2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f16,plain,
! [X3] :
( big_q(X3)
| ~ sP5 ),
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
( ~ big_q(sK9)
| sP5 ),
inference(cnf_transformation,[],[f3]) ).
fof(f18,plain,
( big_q(sK8)
| ~ sP4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f19,plain,
! [X2] :
( ~ big_q(X2)
| sP4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
( sP2
| sP1
| sP5
| ~ sP4
| sP3(sK0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0] :
( ~ sP2
| ~ sP1
| sP5
| sP4
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0] :
( ~ sP2
| ~ sP1
| ~ sP5
| ~ sP4
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
( sP2
| ~ sP1
| sP5
| sP4
| sP3(sK0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
( sP2
| ~ sP1
| ~ sP5
| ~ sP4
| sP3(sK0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0] :
( ~ sP2
| sP1
| sP5
| ~ sP4
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f37,definition,
( spl13_1
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f41,definition,
( spl13_2
<=> ! [X4] :
( big_q(sK10(X4))
| big_q(X4) ) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f42,plain,
( ! [X4] :
( big_q(sK10(X4))
| big_q(X4) )
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f43,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f4,f41,f37]) ).
fof(f45,definition,
( spl13_3
<=> ! [X4] :
( ~ big_q(sK10(X4))
| ~ big_q(X4) ) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f46,plain,
( ! [X4] :
( ~ big_q(sK10(X4))
| ~ big_q(X4) )
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( spl13_1
| spl13_3 ),
inference(avatar_split_clause,[],[f5,f45,f37]) ).
fof(f49,definition,
( spl13_4
<=> big_q(sK6) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f53,definition,
( spl13_5
<=> ! [X5] : ~ big_q(X5) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f54,plain,
( ! [X5] : ~ big_q(X5)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( ~ spl13_1
| spl13_4
| spl13_5 ),
inference(avatar_split_clause,[],[f6,f53,f49,f37]) ).
fof(f57,definition,
( spl13_6
<=> ! [X5] : big_q(X5) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f58,plain,
( ! [X5] : big_q(X5)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( ~ spl13_1
| ~ spl13_4
| spl13_6 ),
inference(avatar_split_clause,[],[f7,f57,f49,f37]) ).
fof(f61,definition,
( spl13_7
<=> ! [X0] :
( big_p(X0)
| ~ sP3(X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f62,plain,
( ! [X0] :
( big_p(X0)
| ~ sP3(X0) )
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl13_8
<=> ! [X1] : ~ big_p(X1) ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
fof(f65,plain,
( ! [X1] : ~ big_p(X1)
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( spl13_7
| spl13_8 ),
inference(avatar_split_clause,[],[f10,f64,f61]) ).
fof(f68,definition,
( spl13_9
<=> ! [X0] :
( ~ big_p(X0)
| ~ sP3(X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
fof(f69,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ sP3(X0) )
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl13_10
<=> ! [X1] : big_p(X1) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f72,plain,
( ! [X1] : big_p(X1)
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( spl13_9
| spl13_10 ),
inference(avatar_split_clause,[],[f11,f71,f68]) ).
fof(f75,definition,
( spl13_11
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).
fof(f79,definition,
( spl13_12
<=> big_p(sK11) ),
introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).
fof(f81,plain,
( big_p(sK11)
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl13_11
| spl13_12
| spl13_10 ),
inference(avatar_split_clause,[],[f12,f71,f79,f75]) ).
fof(f84,definition,
( spl13_13
<=> big_p(sK12) ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
fof(f86,plain,
( ~ big_p(sK12)
| spl13_13 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl13_11
| spl13_8
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f13,f84,f64,f75]) ).
fof(f89,plain,
( ~ spl13_11
| spl13_8
| spl13_10 ),
inference(avatar_split_clause,[],[f15,f71,f64,f75]) ).
fof(f91,definition,
( spl13_14
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl13_14])],[avatar_definition]) ).
fof(f94,plain,
( ~ spl13_14
| spl13_6 ),
inference(avatar_split_clause,[],[f16,f57,f91]) ).
fof(f96,definition,
( spl13_15
<=> big_q(sK9) ),
introduced(definition,[new_symbols(definition,[spl13_15])],[avatar_definition]) ).
fof(f98,plain,
( ~ big_q(sK9)
| spl13_15 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl13_14
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f17,f96,f91]) ).
fof(f101,definition,
( spl13_16
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).
fof(f105,definition,
( spl13_17
<=> big_q(sK8) ),
introduced(definition,[new_symbols(definition,[spl13_17])],[avatar_definition]) ).
fof(f107,plain,
( big_q(sK8)
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( ~ spl13_16
| spl13_17 ),
inference(avatar_split_clause,[],[f18,f105,f101]) ).
fof(f109,plain,
( spl13_16
| spl13_5 ),
inference(avatar_split_clause,[],[f19,f53,f101]) ).
fof(f111,definition,
( spl13_18
<=> sP3(sK0) ),
introduced(definition,[new_symbols(definition,[spl13_18])],[avatar_definition]) ).
fof(f113,plain,
( sP3(sK0)
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f117,plain,
( spl13_18
| ~ spl13_16
| spl13_14
| spl13_1
| spl13_11 ),
inference(avatar_split_clause,[],[f23,f75,f37,f91,f101,f111]) ).
fof(f119,definition,
( spl13_19
<=> ! [X0] : ~ sP3(X0) ),
introduced(definition,[new_symbols(definition,[spl13_19])],[avatar_definition]) ).
fof(f120,plain,
( ! [X0] : ~ sP3(X0)
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f121,plain,
( spl13_19
| spl13_16
| spl13_14
| ~ spl13_1
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f24,f75,f37,f91,f101,f119]) ).
fof(f122,plain,
( spl13_19
| ~ spl13_16
| ~ spl13_14
| ~ spl13_1
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f25,f75,f37,f91,f101,f119]) ).
fof(f125,plain,
( spl13_18
| spl13_16
| spl13_14
| ~ spl13_1
| spl13_11 ),
inference(avatar_split_clause,[],[f28,f75,f37,f91,f101,f111]) ).
fof(f126,plain,
( spl13_18
| ~ spl13_16
| ~ spl13_14
| ~ spl13_1
| spl13_11 ),
inference(avatar_split_clause,[],[f29,f75,f37,f91,f101,f111]) ).
fof(f132,plain,
( spl13_19
| ~ spl13_16
| spl13_14
| spl13_1
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f35,f75,f37,f91,f101,f119]) ).
fof(f133,plain,
( $false
| ~ spl13_5
| ~ spl13_6 ),
inference(forward_subsumption_resolution,[],[f58,f54]) ).
fof(f134,plain,
( ~ spl13_5
| ~ spl13_6 ),
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f135,plain,
( $false
| ~ spl13_8
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f72,f65]) ).
fof(f136,plain,
( ~ spl13_8
| ~ spl13_10 ),
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f137,plain,
( $false
| ~ spl13_10
| spl13_13 ),
inference(resolution,[],[f86,f72]) ).
fof(f138,plain,
( ~ spl13_10
| spl13_13 ),
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f139,plain,
( ! [X0] : big_q(X0)
| ~ spl13_2
| ~ spl13_5 ),
inference(resolution,[],[f42,f54]) ).
fof(f140,plain,
( $false
| ~ spl13_2
| ~ spl13_5 ),
inference(forward_subsumption_resolution,[],[f139,f54]) ).
fof(f141,plain,
( ~ spl13_2
| ~ spl13_5 ),
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f142,plain,
( $false
| ~ spl13_6
| spl13_15 ),
inference(forward_subsumption_resolution,[],[f98,f58]) ).
fof(f143,plain,
( ~ spl13_6
| spl13_15 ),
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f144,plain,
( $false
| ~ spl13_5
| ~ spl13_17 ),
inference(forward_subsumption_resolution,[],[f107,f54]) ).
fof(f145,plain,
( ~ spl13_5
| ~ spl13_17 ),
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f146,plain,
( $false
| ~ spl13_18
| ~ spl13_19 ),
inference(resolution,[],[f120,f113]) ).
fof(f147,plain,
( ~ spl13_18
| ~ spl13_19 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f151,plain,
( ! [X0] :
( ~ big_p(X0)
| sP3(X0) )
| ~ spl13_10 ),
inference(resolution,[],[f9,f72]) ).
fof(f153,plain,
( ! [X0] : sP3(X0)
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f151,f72]) ).
fof(f154,plain,
( $false
| ~ spl13_10
| ~ spl13_19 ),
inference(forward_subsumption_resolution,[],[f153,f120]) ).
fof(f155,plain,
( ~ spl13_10
| ~ spl13_19 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f156,plain,
( $false
| ~ spl13_8
| ~ spl13_12 ),
inference(forward_subsumption_resolution,[],[f81,f65]) ).
fof(f157,plain,
( ~ spl13_8
| ~ spl13_12 ),
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f161,plain,
( ! [X0] :
( big_p(X0)
| sP3(X0) )
| ~ spl13_8 ),
inference(resolution,[],[f65,f8]) ).
fof(f162,plain,
( ! [X0] : big_p(X0)
| ~ spl13_7
| ~ spl13_8 ),
inference(forward_subsumption_resolution,[],[f161,f62]) ).
fof(f163,plain,
( $false
| ~ spl13_7
| ~ spl13_8 ),
inference(forward_subsumption_resolution,[],[f162,f65]) ).
fof(f164,plain,
( ~ spl13_7
| ~ spl13_8 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f165,plain,
( ! [X0] : sP3(X0)
| ~ spl13_8 ),
inference(forward_subsumption_resolution,[],[f161,f65]) ).
fof(f166,plain,
( $false
| ~ spl13_8
| ~ spl13_19 ),
inference(forward_subsumption_resolution,[],[f165,f120]) ).
fof(f167,plain,
( ~ spl13_8
| ~ spl13_19 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f168,plain,
( ! [X0] : ~ sP3(X0)
| ~ spl13_7
| ~ spl13_9 ),
inference(forward_subsumption_resolution,[],[f69,f62]) ).
fof(f169,plain,
( spl13_19
| ~ spl13_7
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f168,f68,f61,f119]) ).
fof(f171,plain,
( ! [X0] : ~ big_q(X0)
| ~ spl13_3
| ~ spl13_6 ),
inference(resolution,[],[f58,f46]) ).
fof(f173,plain,
( $false
| ~ spl13_3
| ~ spl13_6 ),
inference(forward_subsumption_resolution,[],[f171,f58]) ).
fof(f174,plain,
( ~ spl13_3
| ~ spl13_6 ),
inference(avatar_contradiction_clause,[],[f173]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f43]) ).
cnf(s2,plain,
( spl13_1
| spl13_3 ),
inference(sat_conversion,[],[f47]) ).
cnf(s3,plain,
( ~ spl13_1
| spl13_4
| spl13_5 ),
inference(sat_conversion,[],[f55]) ).
cnf(s4,plain,
( ~ spl13_1
| ~ spl13_4
| spl13_6 ),
inference(sat_conversion,[],[f59]) ).
cnf(s5,plain,
( spl13_7
| spl13_8 ),
inference(sat_conversion,[],[f66]) ).
cnf(s6,plain,
( spl13_9
| spl13_10 ),
inference(sat_conversion,[],[f73]) ).
cnf(s7,plain,
( spl13_10
| spl13_11
| spl13_12 ),
inference(sat_conversion,[],[f82]) ).
cnf(s8,plain,
( spl13_8
| spl13_11
| ~ spl13_13 ),
inference(sat_conversion,[],[f87]) ).
cnf(s10,plain,
( spl13_8
| spl13_10
| ~ spl13_11 ),
inference(sat_conversion,[],[f89]) ).
cnf(s11,plain,
( spl13_6
| ~ spl13_14 ),
inference(sat_conversion,[],[f94]) ).
cnf(s12,plain,
( spl13_14
| ~ spl13_15 ),
inference(sat_conversion,[],[f99]) ).
cnf(s13,plain,
( ~ spl13_16
| spl13_17 ),
inference(sat_conversion,[],[f108]) ).
cnf(s14,plain,
( spl13_5
| spl13_16 ),
inference(sat_conversion,[],[f109]) ).
cnf(s18,plain,
( spl13_1
| spl13_11
| spl13_14
| ~ spl13_16
| spl13_18 ),
inference(sat_conversion,[],[f117]) ).
cnf(s19,plain,
( ~ spl13_1
| ~ spl13_11
| spl13_14
| spl13_16
| spl13_19 ),
inference(sat_conversion,[],[f121]) ).
cnf(s20,plain,
( ~ spl13_1
| ~ spl13_11
| ~ spl13_14
| ~ spl13_16
| spl13_19 ),
inference(sat_conversion,[],[f122]) ).
cnf(s23,plain,
( ~ spl13_1
| spl13_11
| spl13_14
| spl13_16
| spl13_18 ),
inference(sat_conversion,[],[f125]) ).
cnf(s24,plain,
( ~ spl13_1
| spl13_11
| ~ spl13_14
| ~ spl13_16
| spl13_18 ),
inference(sat_conversion,[],[f126]) ).
cnf(s30,plain,
( spl13_1
| ~ spl13_11
| spl13_14
| ~ spl13_16
| spl13_19 ),
inference(sat_conversion,[],[f132]) ).
cnf(s31,plain,
( ~ spl13_5
| ~ spl13_6 ),
inference(sat_conversion,[],[f134]) ).
cnf(s32,plain,
( ~ spl13_8
| ~ spl13_10 ),
inference(sat_conversion,[],[f136]) ).
cnf(s33,plain,
( ~ spl13_10
| spl13_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s34,plain,
( ~ spl13_2
| ~ spl13_5 ),
inference(sat_conversion,[],[f141]) ).
cnf(s35,plain,
( ~ spl13_6
| spl13_15 ),
inference(sat_conversion,[],[f143]) ).
cnf(s36,plain,
( ~ spl13_5
| ~ spl13_17 ),
inference(sat_conversion,[],[f145]) ).
cnf(s37,plain,
( ~ spl13_18
| ~ spl13_19 ),
inference(sat_conversion,[],[f147]) ).
cnf(s38,plain,
( ~ spl13_10
| ~ spl13_19 ),
inference(sat_conversion,[],[f155]) ).
cnf(s39,plain,
( ~ spl13_8
| ~ spl13_12 ),
inference(sat_conversion,[],[f157]) ).
cnf(s41,plain,
( ~ spl13_7
| ~ spl13_8 ),
inference(sat_conversion,[],[f164]) ).
cnf(s42,plain,
( ~ spl13_8
| ~ spl13_19 ),
inference(sat_conversion,[],[f167]) ).
cnf(s43,plain,
( ~ spl13_7
| ~ spl13_9
| spl13_19 ),
inference(sat_conversion,[],[f169]) ).
cnf(s45,plain,
( ~ spl13_3
| ~ spl13_6 ),
inference(sat_conversion,[],[f174]) ).
cnf(s46,plain,
( ~ spl13_8
| spl13_1 ),
inference(rat,[],[s7,s30,s32,s39,s42,s11,s45,s2,s14,s34,s1]) ).
cnf(s47,plain,
( spl13_10
| spl13_1 ),
inference(rat,[],[s37,s43,s18,s6,s10,s11,s45,s2,s14,s34,s1,s5,s46]) ).
cnf(s48,plain,
spl13_1,
inference(rat,[],[s8,s30,s33,s38,s47,s46,s14,s11,s34,s45,s1,s2]) ).
cnf(s49,plain,
( spl13_14
| spl13_18
| spl13_11 ),
inference(rat,[],[s3,s36,s4,s13,s35,s23,s12,s48]) ).
cnf(s50,plain,
( spl13_18
| spl13_11 ),
inference(rat,[],[s14,s31,s24,s11,s49,s48]) ).
cnf(s51,plain,
( spl13_10
| ~ spl13_7 ),
inference(rat,[],[s50,s37,s43,s6,s10,s41]) ).
cnf(s52,plain,
( spl13_14
| ~ spl13_7 ),
inference(rat,[],[s3,s36,s4,s13,s35,s19,s12,s38,s8,s33,s51,s41,s48]) ).
cnf(s53,plain,
~ spl13_7,
inference(rat,[],[s14,s31,s20,s11,s52,s8,s33,s38,s51,s41,s48]) ).
cnf(s54,plain,
spl13_8,
inference(rat,[],[s5,s53]) ).
cnf(s55,plain,
~ spl13_19,
inference(rat,[],[s42,s54]) ).
cnf(s57,plain,
~ spl13_12,
inference(rat,[],[s39,s54]) ).
cnf(s58,plain,
~ spl13_10,
inference(rat,[],[s32,s54]) ).
cnf(s59,plain,
spl13_11,
inference(rat,[],[s7,s58,s57]) ).
cnf(s61,plain,
spl13_14,
inference(rat,[],[s3,s36,s4,s13,s35,s19,s12,s48,s59,s55]) ).
cnf(s62,plain,
spl13_6,
inference(rat,[],[s11,s61]) ).
cnf(s63,plain,
~ spl13_16,
inference(rat,[],[s20,s55,s59,s48,s61]) ).
cnf(s67,plain,
~ spl13_5,
inference(rat,[],[s31,s62]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s14,s63,s67]) ).
fof(f175,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:20:46 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.09/0.26 % (3461817)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (3461826)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3251309356:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (3461826) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3461817-3461826"...
% 0.09/0.26 % (3461823)% WARNING: option uhcvi not known.
% 0.09/0.26 % (3461826)...printing done.
% 0.09/0.26 % (3461826)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.27 % (3461826)------------------------------
% 0.09/0.27 % (3461826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27 % (3461826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27 % (3461826)CaDiCaL version: 2.1.3
% 0.09/0.27 % (3461826)Termination reason: Refutation
% 0.09/0.27 % (3461826)Time elapsed: 0.003 s
% 0.09/0.27 % (3461826)Peak memory usage: 12 MB
% 0.09/0.27 % (3461826)Instructions burned: 6 (million)
% 0.09/0.27 % (3461817)Success in time 0.025 s
% 0.09/0.27 % Vampire exiting
%------------------------------------------------------------------------------