%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR024+1.010 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:44:22 AM UTC 2026
% Result : Theorem 0.73s 0.38s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 185 ( 61 unt; 10 def)
% Number of atoms : 443 ( 111 equ)
% Maximal formula atoms : 41 ( 2 avg)
% Number of connectives : 434 ( 176 ~; 200 |; 45 &)
% ( 12 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 11 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 22 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn 138 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& initiates(X0,X2,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
fof(f13,axiom,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ? [X3,X4] :
( ( X0 = push(X3,X4)
& X1 = forwards(X4)
& ~ happens(pull(X3,X4),X2) )
| ( X0 = pull(X3,X4)
& X1 = backwards(X4)
& ~ happens(push(X3,X4),X2) )
| ( X0 = pull(X3,X4)
& X1 = spinning(X4)
& happens(push(X3,X4),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+3.ax',initiates_all_defn) ).
fof(f23,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(f45,axiom,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( X0 = pull(agent1,trolley1)
& X1 = n0 )
| ( X0 = push(agent1,trolley1)
& X1 = n0 )
| ( X0 = pull(agent2,trolley2)
& X1 = n0 )
| ( X0 = push(agent2,trolley2)
& X1 = n0 )
| ( X0 = pull(agent3,trolley3)
& X1 = n0 )
| ( X0 = push(agent3,trolley3)
& X1 = n0 )
| ( X0 = pull(agent4,trolley4)
& X1 = n0 )
| ( X0 = push(agent4,trolley4)
& X1 = n0 )
| ( X0 = pull(agent5,trolley5)
& X1 = n0 )
| ( X0 = push(agent5,trolley5)
& X1 = n0 )
| ( X0 = pull(agent6,trolley6)
& X1 = n0 )
| ( X0 = push(agent6,trolley6)
& X1 = n0 )
| ( X0 = pull(agent7,trolley7)
& X1 = n0 )
| ( X0 = push(agent7,trolley7)
& X1 = n0 )
| ( X0 = pull(agent8,trolley8)
& X1 = n0 )
| ( X0 = push(agent8,trolley8)
& X1 = n0 )
| ( X0 = pull(agent9,trolley9)
& X1 = n0 )
| ( X0 = push(agent9,trolley9)
& X1 = n0 )
| ( X0 = pull(agent10,trolley10)
& X1 = n0 )
| ( X0 = push(agent10,trolley10)
& X1 = n0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).
fof(f49,conjecture,
( holdsAt(spinning(trolley1),n1)
& holdsAt(spinning(trolley2),n1)
& holdsAt(spinning(trolley3),n1)
& holdsAt(spinning(trolley4),n1)
& holdsAt(spinning(trolley5),n1)
& holdsAt(spinning(trolley6),n1)
& holdsAt(spinning(trolley7),n1)
& holdsAt(spinning(trolley8),n1)
& holdsAt(spinning(trolley9),n1)
& holdsAt(spinning(trolley10),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spinning_3) ).
fof(f50,negated_conjecture,
~ ( holdsAt(spinning(trolley1),n1)
& holdsAt(spinning(trolley2),n1)
& holdsAt(spinning(trolley3),n1)
& holdsAt(spinning(trolley4),n1)
& holdsAt(spinning(trolley5),n1)
& holdsAt(spinning(trolley6),n1)
& holdsAt(spinning(trolley7),n1)
& holdsAt(spinning(trolley8),n1)
& holdsAt(spinning(trolley9),n1)
& holdsAt(spinning(trolley10),n1) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f65,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f66,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(flattening,[],[f65]) ).
fof(f78,plain,
( ~ holdsAt(spinning(trolley1),n1)
| ~ holdsAt(spinning(trolley2),n1)
| ~ holdsAt(spinning(trolley3),n1)
| ~ holdsAt(spinning(trolley4),n1)
| ~ holdsAt(spinning(trolley5),n1)
| ~ holdsAt(spinning(trolley6),n1)
| ~ holdsAt(spinning(trolley7),n1)
| ~ holdsAt(spinning(trolley8),n1)
| ~ holdsAt(spinning(trolley9),n1)
| ~ holdsAt(spinning(trolley10),n1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X4] :
( ~ happens(push(X3,X4),X2)
| spinning(X4) != X1
| pull(X3,X4) != X0
| initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f146,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f23]) ).
fof(f181,plain,
! [X0,X1] :
( n0 != X1
| pull(agent1,trolley1) != X0
| sP29(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f184,plain,
! [X0,X1] :
( n0 != X1
| push(agent1,trolley1) != X0
| sP28(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f187,plain,
! [X0,X1] :
( n0 != X1
| pull(agent2,trolley2) != X0
| sP27(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f190,plain,
! [X0,X1] :
( n0 != X1
| push(agent2,trolley2) != X0
| sP26(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f193,plain,
! [X0,X1] :
( n0 != X1
| pull(agent3,trolley3) != X0
| sP25(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f196,plain,
! [X0,X1] :
( n0 != X1
| push(agent3,trolley3) != X0
| sP24(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f199,plain,
! [X0,X1] :
( n0 != X1
| pull(agent4,trolley4) != X0
| sP23(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f202,plain,
! [X0,X1] :
( n0 != X1
| push(agent4,trolley4) != X0
| sP22(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f205,plain,
! [X0,X1] :
( n0 != X1
| pull(agent5,trolley5) != X0
| sP21(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f208,plain,
! [X0,X1] :
( n0 != X1
| push(agent5,trolley5) != X0
| sP20(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f211,plain,
! [X0,X1] :
( n0 != X1
| pull(agent6,trolley6) != X0
| sP19(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f214,plain,
! [X0,X1] :
( n0 != X1
| push(agent6,trolley6) != X0
| sP18(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f217,plain,
! [X0,X1] :
( n0 != X1
| pull(agent7,trolley7) != X0
| sP17(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f220,plain,
! [X0,X1] :
( n0 != X1
| push(agent7,trolley7) != X0
| sP16(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f223,plain,
! [X0,X1] :
( n0 != X1
| pull(agent8,trolley8) != X0
| sP15(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f226,plain,
! [X0,X1] :
( n0 != X1
| push(agent8,trolley8) != X0
| sP14(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f229,plain,
! [X0,X1] :
( n0 != X1
| pull(agent9,trolley9) != X0
| sP13(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f232,plain,
! [X0,X1] :
( n0 != X1
| push(agent9,trolley9) != X0
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f241,plain,
! [X0,X1] :
( n0 != X1
| pull(agent10,trolley10) != X0
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f242,plain,
! [X0,X1] :
( n0 != X1
| push(agent10,trolley10) != X0
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f243,plain,
! [X0,X1] :
( ~ sP13(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f244,plain,
! [X0,X1] :
( ~ sP14(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f245,plain,
! [X0,X1] :
( ~ sP15(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f246,plain,
! [X0,X1] :
( ~ sP16(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f247,plain,
! [X0,X1] :
( ~ sP17(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f248,plain,
! [X0,X1] :
( ~ sP18(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f249,plain,
! [X0,X1] :
( ~ sP19(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f250,plain,
! [X0,X1] :
( ~ sP20(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f251,plain,
! [X0,X1] :
( ~ sP21(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f252,plain,
! [X0,X1] :
( ~ sP22(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f253,plain,
! [X0,X1] :
( ~ sP23(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f254,plain,
! [X0,X1] :
( ~ sP24(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f255,plain,
! [X0,X1] :
( ~ sP25(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f256,plain,
! [X0,X1] :
( ~ sP26(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f257,plain,
! [X0,X1] :
( ~ sP27(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f258,plain,
! [X0,X1] :
( ~ sP28(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f259,plain,
! [X0,X1] :
( ~ sP29(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f381,plain,
( ~ holdsAt(spinning(trolley10),n1)
| ~ holdsAt(spinning(trolley9),n1)
| ~ holdsAt(spinning(trolley8),n1)
| ~ holdsAt(spinning(trolley7),n1)
| ~ holdsAt(spinning(trolley6),n1)
| ~ holdsAt(spinning(trolley5),n1)
| ~ holdsAt(spinning(trolley4),n1)
| ~ holdsAt(spinning(trolley3),n1)
| ~ holdsAt(spinning(trolley2),n1)
| ~ holdsAt(spinning(trolley1),n1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f382,plain,
! [X2,X3,X0,X4] :
( ~ happens(push(X3,X4),X2)
| pull(X3,X4) != X0
| initiates(X0,spinning(X4),X2) ),
inference(equality_resolution,[],[f105]) ).
fof(f383,plain,
! [X2,X3,X4] :
( initiates(pull(X3,X4),spinning(X4),X2)
| ~ happens(push(X3,X4),X2) ),
inference(equality_resolution,[],[f382]) ).
fof(f402,plain,
! [X0] :
( push(agent10,trolley10) != X0
| happens(X0,n0) ),
inference(equality_resolution,[],[f242]) ).
fof(f403,plain,
happens(push(agent10,trolley10),n0),
inference(equality_resolution,[],[f402]) ).
fof(f404,plain,
! [X0] :
( pull(agent10,trolley10) != X0
| happens(X0,n0) ),
inference(equality_resolution,[],[f241]) ).
fof(f405,plain,
happens(pull(agent10,trolley10),n0),
inference(equality_resolution,[],[f404]) ).
fof(f406,plain,
! [X0] :
( push(agent9,trolley9) != X0
| happens(X0,n0) ),
inference(equality_resolution,[],[f232]) ).
fof(f407,plain,
happens(push(agent9,trolley9),n0),
inference(equality_resolution,[],[f406]) ).
fof(f408,plain,
! [X0] :
( pull(agent9,trolley9) != X0
| sP13(n0,X0) ),
inference(equality_resolution,[],[f229]) ).
fof(f409,plain,
sP13(n0,pull(agent9,trolley9)),
inference(equality_resolution,[],[f408]) ).
fof(f410,plain,
! [X0] :
( push(agent8,trolley8) != X0
| sP14(n0,X0) ),
inference(equality_resolution,[],[f226]) ).
fof(f411,plain,
sP14(n0,push(agent8,trolley8)),
inference(equality_resolution,[],[f410]) ).
fof(f412,plain,
! [X0] :
( pull(agent8,trolley8) != X0
| sP15(n0,X0) ),
inference(equality_resolution,[],[f223]) ).
fof(f413,plain,
sP15(n0,pull(agent8,trolley8)),
inference(equality_resolution,[],[f412]) ).
fof(f414,plain,
! [X0] :
( push(agent7,trolley7) != X0
| sP16(n0,X0) ),
inference(equality_resolution,[],[f220]) ).
fof(f415,plain,
sP16(n0,push(agent7,trolley7)),
inference(equality_resolution,[],[f414]) ).
fof(f416,plain,
! [X0] :
( pull(agent7,trolley7) != X0
| sP17(n0,X0) ),
inference(equality_resolution,[],[f217]) ).
fof(f417,plain,
sP17(n0,pull(agent7,trolley7)),
inference(equality_resolution,[],[f416]) ).
fof(f418,plain,
! [X0] :
( push(agent6,trolley6) != X0
| sP18(n0,X0) ),
inference(equality_resolution,[],[f214]) ).
fof(f419,plain,
sP18(n0,push(agent6,trolley6)),
inference(equality_resolution,[],[f418]) ).
fof(f420,plain,
! [X0] :
( pull(agent6,trolley6) != X0
| sP19(n0,X0) ),
inference(equality_resolution,[],[f211]) ).
fof(f421,plain,
sP19(n0,pull(agent6,trolley6)),
inference(equality_resolution,[],[f420]) ).
fof(f422,plain,
! [X0] :
( push(agent5,trolley5) != X0
| sP20(n0,X0) ),
inference(equality_resolution,[],[f208]) ).
fof(f423,plain,
sP20(n0,push(agent5,trolley5)),
inference(equality_resolution,[],[f422]) ).
fof(f424,plain,
! [X0] :
( pull(agent5,trolley5) != X0
| sP21(n0,X0) ),
inference(equality_resolution,[],[f205]) ).
fof(f425,plain,
sP21(n0,pull(agent5,trolley5)),
inference(equality_resolution,[],[f424]) ).
fof(f426,plain,
! [X0] :
( push(agent4,trolley4) != X0
| sP22(n0,X0) ),
inference(equality_resolution,[],[f202]) ).
fof(f427,plain,
sP22(n0,push(agent4,trolley4)),
inference(equality_resolution,[],[f426]) ).
fof(f428,plain,
! [X0] :
( pull(agent4,trolley4) != X0
| sP23(n0,X0) ),
inference(equality_resolution,[],[f199]) ).
fof(f429,plain,
sP23(n0,pull(agent4,trolley4)),
inference(equality_resolution,[],[f428]) ).
fof(f430,plain,
! [X0] :
( push(agent3,trolley3) != X0
| sP24(n0,X0) ),
inference(equality_resolution,[],[f196]) ).
fof(f431,plain,
sP24(n0,push(agent3,trolley3)),
inference(equality_resolution,[],[f430]) ).
fof(f432,plain,
! [X0] :
( pull(agent3,trolley3) != X0
| sP25(n0,X0) ),
inference(equality_resolution,[],[f193]) ).
fof(f433,plain,
sP25(n0,pull(agent3,trolley3)),
inference(equality_resolution,[],[f432]) ).
fof(f434,plain,
! [X0] :
( push(agent2,trolley2) != X0
| sP26(n0,X0) ),
inference(equality_resolution,[],[f190]) ).
fof(f435,plain,
sP26(n0,push(agent2,trolley2)),
inference(equality_resolution,[],[f434]) ).
fof(f436,plain,
! [X0] :
( pull(agent2,trolley2) != X0
| sP27(n0,X0) ),
inference(equality_resolution,[],[f187]) ).
fof(f437,plain,
sP27(n0,pull(agent2,trolley2)),
inference(equality_resolution,[],[f436]) ).
fof(f438,plain,
! [X0] :
( push(agent1,trolley1) != X0
| sP28(n0,X0) ),
inference(equality_resolution,[],[f184]) ).
fof(f439,plain,
sP28(n0,push(agent1,trolley1)),
inference(equality_resolution,[],[f438]) ).
fof(f440,plain,
! [X0] :
( pull(agent1,trolley1) != X0
| sP29(n0,X0) ),
inference(equality_resolution,[],[f181]) ).
fof(f441,plain,
sP29(n0,pull(agent1,trolley1)),
inference(equality_resolution,[],[f440]) ).
fof(f443,definition,
( spl30_1
<=> holdsAt(spinning(trolley1),n1) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f445,plain,
( ~ holdsAt(spinning(trolley1),n1)
| spl30_1 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f447,definition,
( spl30_2
<=> holdsAt(spinning(trolley2),n1) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f449,plain,
( ~ holdsAt(spinning(trolley2),n1)
| spl30_2 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f451,definition,
( spl30_3
<=> holdsAt(spinning(trolley3),n1) ),
introduced(definition,[new_symbols(definition,[spl30_3])],[avatar_definition]) ).
fof(f453,plain,
( ~ holdsAt(spinning(trolley3),n1)
| spl30_3 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f455,definition,
( spl30_4
<=> holdsAt(spinning(trolley4),n1) ),
introduced(definition,[new_symbols(definition,[spl30_4])],[avatar_definition]) ).
fof(f457,plain,
( ~ holdsAt(spinning(trolley4),n1)
| spl30_4 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f459,definition,
( spl30_5
<=> holdsAt(spinning(trolley5),n1) ),
introduced(definition,[new_symbols(definition,[spl30_5])],[avatar_definition]) ).
fof(f461,plain,
( ~ holdsAt(spinning(trolley5),n1)
| spl30_5 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f463,definition,
( spl30_6
<=> holdsAt(spinning(trolley6),n1) ),
introduced(definition,[new_symbols(definition,[spl30_6])],[avatar_definition]) ).
fof(f465,plain,
( ~ holdsAt(spinning(trolley6),n1)
| spl30_6 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f467,definition,
( spl30_7
<=> holdsAt(spinning(trolley7),n1) ),
introduced(definition,[new_symbols(definition,[spl30_7])],[avatar_definition]) ).
fof(f469,plain,
( ~ holdsAt(spinning(trolley7),n1)
| spl30_7 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f471,definition,
( spl30_8
<=> holdsAt(spinning(trolley8),n1) ),
introduced(definition,[new_symbols(definition,[spl30_8])],[avatar_definition]) ).
fof(f473,plain,
( ~ holdsAt(spinning(trolley8),n1)
| spl30_8 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f475,definition,
( spl30_9
<=> holdsAt(spinning(trolley9),n1) ),
introduced(definition,[new_symbols(definition,[spl30_9])],[avatar_definition]) ).
fof(f477,plain,
( ~ holdsAt(spinning(trolley9),n1)
| spl30_9 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f479,definition,
( spl30_10
<=> holdsAt(spinning(trolley10),n1) ),
introduced(definition,[new_symbols(definition,[spl30_10])],[avatar_definition]) ).
fof(f481,plain,
( ~ holdsAt(spinning(trolley10),n1)
| spl30_10 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,plain,
( ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(avatar_split_clause,[],[f381,f479,f475,f471,f467,f463,f459,f455,f451,f447,f443]) ).
fof(f666,plain,
happens(pull(agent9,trolley9),n0),
inference(resolution,[],[f243,f409]) ).
fof(f667,plain,
happens(push(agent8,trolley8),n0),
inference(resolution,[],[f244,f411]) ).
fof(f668,plain,
happens(pull(agent8,trolley8),n0),
inference(resolution,[],[f245,f413]) ).
fof(f669,plain,
happens(push(agent7,trolley7),n0),
inference(resolution,[],[f246,f415]) ).
fof(f670,plain,
happens(pull(agent7,trolley7),n0),
inference(resolution,[],[f247,f417]) ).
fof(f671,plain,
happens(push(agent6,trolley6),n0),
inference(resolution,[],[f248,f419]) ).
fof(f672,plain,
happens(pull(agent6,trolley6),n0),
inference(resolution,[],[f249,f421]) ).
fof(f673,plain,
happens(push(agent5,trolley5),n0),
inference(resolution,[],[f250,f423]) ).
fof(f674,plain,
happens(pull(agent5,trolley5),n0),
inference(resolution,[],[f251,f425]) ).
fof(f675,plain,
happens(push(agent4,trolley4),n0),
inference(resolution,[],[f252,f427]) ).
fof(f676,plain,
happens(pull(agent4,trolley4),n0),
inference(resolution,[],[f253,f429]) ).
fof(f677,plain,
happens(push(agent3,trolley3),n0),
inference(resolution,[],[f254,f431]) ).
fof(f678,plain,
happens(pull(agent3,trolley3),n0),
inference(resolution,[],[f255,f433]) ).
fof(f679,plain,
happens(push(agent2,trolley2),n0),
inference(resolution,[],[f256,f435]) ).
fof(f680,plain,
happens(pull(agent2,trolley2),n0),
inference(resolution,[],[f257,f437]) ).
fof(f681,plain,
happens(push(agent1,trolley1),n0),
inference(resolution,[],[f258,f439]) ).
fof(f682,plain,
happens(pull(agent1,trolley1),n0),
inference(resolution,[],[f259,f441]) ).
fof(f1144,plain,
! [X2,X0,X1] :
( holdsAt(spinning(X1),plus(X2,n1))
| ~ happens(pull(X0,X1),X2)
| ~ happens(push(X0,X1),X2) ),
inference(resolution,[],[f383,f87]) ).
fof(f1730,plain,
! [X0,X1] :
( holdsAt(spinning(X0),n1)
| ~ happens(pull(X1,X0),n0)
| ~ happens(push(X1,X0),n0) ),
inference(superposition,[],[f1144,f146]) ).
fof(f2906,plain,
( ! [X0] :
( ~ happens(pull(X0,trolley1),n0)
| ~ happens(push(X0,trolley1),n0) )
| spl30_1 ),
inference(resolution,[],[f1730,f445]) ).
fof(f2908,plain,
( ~ happens(push(agent1,trolley1),n0)
| spl30_1 ),
inference(resolution,[],[f2906,f682]) ).
fof(f2910,plain,
( $false
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f2908,f681]) ).
fof(f2911,plain,
spl30_1,
inference(avatar_contradiction_clause,[],[f2910]) ).
fof(f2914,plain,
( ! [X0] :
( ~ happens(pull(X0,trolley2),n0)
| ~ happens(push(X0,trolley2),n0) )
| spl30_2 ),
inference(resolution,[],[f449,f1730]) ).
fof(f2918,plain,
( ~ happens(push(agent2,trolley2),n0)
| spl30_2 ),
inference(resolution,[],[f2914,f680]) ).
fof(f2920,plain,
( $false
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f2918,f679]) ).
fof(f2921,plain,
spl30_2,
inference(avatar_contradiction_clause,[],[f2920]) ).
fof(f2924,plain,
( ! [X0] :
( ~ happens(pull(X0,trolley3),n0)
| ~ happens(push(X0,trolley3),n0) )
| spl30_3 ),
inference(resolution,[],[f453,f1730]) ).
fof(f2928,plain,
( ~ happens(push(agent3,trolley3),n0)
| spl30_3 ),
inference(resolution,[],[f2924,f678]) ).
fof(f2930,plain,
( $false
| spl30_3 ),
inference(forward_subsumption_resolution,[],[f2928,f677]) ).
fof(f2931,plain,
spl30_3,
inference(avatar_contradiction_clause,[],[f2930]) ).
fof(f2934,plain,
( ! [X0] :
( ~ happens(pull(X0,trolley4),n0)
| ~ happens(push(X0,trolley4),n0) )
| spl30_4 ),
inference(resolution,[],[f457,f1730]) ).
fof(f2938,plain,
( ~ happens(push(agent4,trolley4),n0)
| spl30_4 ),
inference(resolution,[],[f2934,f676]) ).
fof(f2940,plain,
( $false
| spl30_4 ),
inference(forward_subsumption_resolution,[],[f2938,f675]) ).
fof(f2941,plain,
spl30_4,
inference(avatar_contradiction_clause,[],[f2940]) ).
fof(f2944,plain,
( ! [X0] :
( ~ happens(pull(X0,trolley5),n0)
| ~ happens(push(X0,trolley5),n0) )
| spl30_5 ),
inference(resolution,[],[f461,f1730]) ).
fof(f2948,plain,
( ~ happens(push(agent5,trolley5),n0)
| spl30_5 ),
inference(resolution,[],[f2944,f674]) ).
fof(f2950,plain,
( $false
| spl30_5 ),
inference(forward_subsumption_resolution,[],[f2948,f673]) ).
fof(f2951,plain,
spl30_5,
inference(avatar_contradiction_clause,[],[f2950]) ).
fof(f2954,plain,
( ! [X0] :
( ~ happens(pull(X0,trolley6),n0)
| ~ happens(push(X0,trolley6),n0) )
| spl30_6 ),
inference(resolution,[],[f465,f1730]) ).
fof(f2958,plain,
( ~ happens(push(agent6,trolley6),n0)
| spl30_6 ),
inference(resolution,[],[f2954,f672]) ).
fof(f2960,plain,
( $false
| spl30_6 ),
inference(forward_subsumption_resolution,[],[f2958,f671]) ).
fof(f2961,plain,
spl30_6,
inference(avatar_contradiction_clause,[],[f2960]) ).
fof(f2964,plain,
( ! [X0] :
( ~ happens(pull(X0,trolley7),n0)
| ~ happens(push(X0,trolley7),n0) )
| spl30_7 ),
inference(resolution,[],[f469,f1730]) ).
fof(f2968,plain,
( ~ happens(push(agent7,trolley7),n0)
| spl30_7 ),
inference(resolution,[],[f2964,f670]) ).
fof(f2970,plain,
( $false
| spl30_7 ),
inference(forward_subsumption_resolution,[],[f2968,f669]) ).
fof(f2971,plain,
spl30_7,
inference(avatar_contradiction_clause,[],[f2970]) ).
fof(f2974,plain,
( ! [X0] :
( ~ happens(pull(X0,trolley8),n0)
| ~ happens(push(X0,trolley8),n0) )
| spl30_8 ),
inference(resolution,[],[f473,f1730]) ).
fof(f2978,plain,
( ~ happens(push(agent8,trolley8),n0)
| spl30_8 ),
inference(resolution,[],[f2974,f668]) ).
fof(f2980,plain,
( $false
| spl30_8 ),
inference(forward_subsumption_resolution,[],[f2978,f667]) ).
fof(f2981,plain,
spl30_8,
inference(avatar_contradiction_clause,[],[f2980]) ).
fof(f2984,plain,
( ! [X0] :
( ~ happens(pull(X0,trolley9),n0)
| ~ happens(push(X0,trolley9),n0) )
| spl30_9 ),
inference(resolution,[],[f477,f1730]) ).
fof(f2988,plain,
( ~ happens(push(agent9,trolley9),n0)
| spl30_9 ),
inference(resolution,[],[f2984,f666]) ).
fof(f2990,plain,
( $false
| spl30_9 ),
inference(forward_subsumption_resolution,[],[f2988,f407]) ).
fof(f2991,plain,
spl30_9,
inference(avatar_contradiction_clause,[],[f2990]) ).
fof(f2994,plain,
( ! [X0] :
( ~ happens(pull(X0,trolley10),n0)
| ~ happens(push(X0,trolley10),n0) )
| spl30_10 ),
inference(resolution,[],[f481,f1730]) ).
fof(f2998,plain,
( ~ happens(push(agent10,trolley10),n0)
| spl30_10 ),
inference(resolution,[],[f2994,f405]) ).
fof(f3000,plain,
( $false
| spl30_10 ),
inference(forward_subsumption_resolution,[],[f2998,f403]) ).
fof(f3001,plain,
spl30_10,
inference(avatar_contradiction_clause,[],[f3000]) ).
cnf(s1,plain,
( ~ spl30_1
| ~ spl30_2
| ~ spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_6
| ~ spl30_7
| ~ spl30_8
| ~ spl30_9
| ~ spl30_10 ),
inference(sat_conversion,[],[f482]) ).
cnf(s214,plain,
spl30_1,
inference(sat_conversion,[],[f2911]) ).
cnf(s215,plain,
spl30_2,
inference(sat_conversion,[],[f2921]) ).
cnf(s216,plain,
spl30_3,
inference(sat_conversion,[],[f2931]) ).
cnf(s217,plain,
spl30_4,
inference(sat_conversion,[],[f2941]) ).
cnf(s218,plain,
spl30_5,
inference(sat_conversion,[],[f2951]) ).
cnf(s219,plain,
spl30_6,
inference(sat_conversion,[],[f2961]) ).
cnf(s220,plain,
spl30_7,
inference(sat_conversion,[],[f2971]) ).
cnf(s221,plain,
spl30_8,
inference(sat_conversion,[],[f2981]) ).
cnf(s222,plain,
spl30_9,
inference(sat_conversion,[],[f2991]) ).
cnf(s223,plain,
spl30_10,
inference(sat_conversion,[],[f3001]) ).
cnf(s250,plain,
$false,
inference(rat,[],[s1,s223,s222,s221,s220,s219,s218,s217,s216,s215,s214]) ).
fof(f3002,plain,
$false,
inference(avatar_sat_refutation,[],[s250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR024+1.010 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n002.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 22:08:38 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.28 Running first-order model finding
% 0.09/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.38 % (829060)Will run a generic schedule for satisfiability detection.
% 0.73/0.38 % (829069)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3008021883:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.73/0.38 % (829065)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1153997611_2999 on theBenchmark for (2999ds/0Mi)
% 0.73/0.38 % (829066)% WARNING: option uhcvi not known.
% 0.73/0.38 % (829068)dis+10_1_sil=32000:sp=arity:random_seed=379065964:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.73/0.38 % (829066)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1503818962:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.73/0.38 % (829070)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4182097597:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.73/0.38 % (829071)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=108360924:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.73/0.38 % (829067)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3364235989:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.73/0.38 % Detected minimum model sizes of [10]
% 0.73/0.38 % Detected maximum model sizes of [max]
% 0.73/0.38 % TRYING [10]
% 0.73/0.38 % (829069) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-829060-829069"...
% 0.73/0.38 % (829069)...printing done.
% 0.73/0.38 % (829069)Refutation found. Thanks to Tanya!
% 0.73/0.38 % SZS status Theorem for theBenchmark
% 0.73/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.39 % (829069)------------------------------
% 0.73/0.39 % (829069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (829069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (829069)CaDiCaL version: 2.1.3
% 0.73/0.39 % (829069)Termination reason: Refutation
% 0.73/0.39 % (829069)Time elapsed: 0.061 s
% 0.73/0.39 % (829069)Peak memory usage: 14 MB
% 0.73/0.39 % (829069)Instructions burned: 116 (million)
% 0.73/0.39 % (829060)Success in time 0.091 s
% 0.73/0.39 % Vampire exiting
%------------------------------------------------------------------------------