%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ056-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 : Fri Sep 25 02:32:51 PM UTC 2026
% Result : Unsatisfiable 77.59s 12.65s
% Output : CNFRefutation 77.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 85 ( 47 unt; 0 def)
% Number of atoms : 158 ( 127 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 149 ( 76 ~; 73 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 105 !; 0 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
state(nextto(on(small,on(medium,on(large,pin(n1)))),nextto(pin(n2),pin(n3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state) ).
fof(f2,negated_conjecture,
~ state(nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',final_state) ).
fof(f3,axiom,
! [X0,X1] : nextto(X0,X1) = nextto(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nextto_commutative) ).
fof(f4,axiom,
! [X2,X0,X1] : nextto(X0,nextto(X1,X2)) = nextto(nextto(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nextto_associative) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ fits(X0,X1)
| ~ fits(X0,X2)
| nextto(on(X0,X1),X2) = nextto(X1,on(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_move) ).
fof(f6,axiom,
! [X0] : fits(small,pin(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_1) ).
fof(f7,axiom,
! [X0] : fits(medium,pin(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_2) ).
fof(f8,axiom,
! [X0] : fits(large,pin(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_3) ).
fof(f9,axiom,
! [X0] : fits(small,on(medium,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_4) ).
fof(f10,axiom,
! [X0] : fits(medium,on(large,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_5) ).
tcf(c_60,plain,
state(nextto(on(small,on(medium,on(large,pin(n1)))),nextto(pin(n2),pin(n3)))),
inference(cnf_transformation,[],[f1]) ).
tcf(c_61,negated_conjecture,
~ state(nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : nextto(X0,X1) = nextto(X1,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] : nextto(nextto(X0,X1),X2) = nextto(X0,nextto(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nextto(on(X0,X1),X2) = nextto(X1,on(X0,X2)) )
| ~ fits(X0,X2)
| ~ fits(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_65,plain,
! [X0: $i] : fits(small,pin(X0)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_66,plain,
! [X0: $i] : fits(medium,pin(X0)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i] : fits(large,pin(X0)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,plain,
! [X0: $i] : fits(small,on(medium,X0)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,plain,
! [X0: $i] : fits(medium,on(large,X0)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_80,plain,
state(nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))))),
inference(theory_normalisation,[status(thm)],[c_60,c_63,c_62]) ).
tcf(c_115,plain,
nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))),
inference(resolution_lifted,[status(thm)],[c_61,c_80]) ).
tcf(c_151,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( nextto(X0,X2) = nextto(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] :
( ( nextto(on(small,X1),on(medium,X0)) = nextto(X1,on(small,on(medium,X0))) )
| ~ fits(small,X1)
| ~ fits(small,on(medium,X0)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_320,plain,
! [X0: $i,X1: $i] :
( ( nextto(on(small,pin(X1)),X0) = nextto(pin(X1),on(small,X0)) )
| ~ fits(small,X0) ),
inference(superposition,[status(thm)],[c_65,c_64]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i] :
( ( nextto(on(medium,pin(X1)),X0) = nextto(pin(X1),on(medium,X0)) )
| ~ fits(medium,X0) ),
inference(superposition,[status(thm)],[c_66,c_64]) ).
tcf(c_322,plain,
! [X0: $i,X1: $i] :
( ( nextto(on(large,pin(X1)),X0) = nextto(pin(X1),on(large,X0)) )
| ~ fits(large,X0) ),
inference(superposition,[status(thm)],[c_67,c_64]) ).
tcf(c_336,plain,
! [X0: $i,X1: $i] : nextto(on(small,pin(X0)),on(medium,X1)) = nextto(pin(X0),on(small,on(medium,X1))),
inference(superposition,[status(thm)],[c_68,c_320]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = nextto(X1,X0) )
| ( pin(n2) != X1 )
| ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] :
( ( nextto(on(small,pin(X1)),on(medium,X0)) = nextto(pin(X1),on(small,on(medium,X0))) )
| ~ fits(small,pin(X1))
| ~ fits(small,on(medium,X0)) ),
inference(instantiation,[status(thm)],[c_293]) ).
tcf(c_443,plain,
! [X0: $i] : pin(X0) = pin(X0),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] : nextto(on(medium,pin(X0)),on(large,X1)) = nextto(pin(X0),on(medium,on(large,X1))),
inference(superposition,[status(thm)],[c_69,c_321]) ).
tcf(c_482,plain,
nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i] : nextto(on(large,pin(X0)),pin(X1)) = nextto(pin(X0),on(large,pin(X1))),
inference(superposition,[status(thm)],[c_67,c_322]) ).
tcf(c_502,plain,
! [X0: $i,X1: $i] : nextto(on(medium,X0),on(small,pin(X1))) = nextto(pin(X1),on(small,on(medium,X0))),
inference(superposition,[status(thm)],[c_336,c_62]) ).
tcf(c_541,plain,
pin(n2) = pin(n2),
inference(instantiation,[status(thm)],[c_443]) ).
tcf(c_542,plain,
! [X0: $i] :
( ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = nextto(pin(n2),X0) )
| ( pin(n2) != pin(n2) )
| ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_370]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i] : nextto(pin(X0),on(large,pin(X1))) = nextto(pin(X1),on(large,pin(X0))),
inference(superposition,[status(thm)],[c_489,c_62]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i,X2: $i] : nextto(X0,nextto(X1,X2)) = nextto(X1,nextto(X0,X2)),
inference(superposition,[status(thm)],[c_63,c_62]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) = X1 )
| ( X1 != X0 )
| ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] :
( ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = nextto(pin(n2),nextto(X0,X1)) )
| ( pin(n2) != pin(n2) )
| ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) != nextto(X0,X1) ) ),
inference(instantiation,[status(thm)],[c_542]) ).
tcf(c_839,plain,
! [X0: $i,X1: $i,X2: $i] : nextto(nextto(pin(X0),on(large,pin(X1))),X2) = nextto(pin(X1),nextto(on(large,pin(X0)),X2)),
inference(superposition,[status(thm)],[c_594,c_63]) ).
tcf(c_844,plain,
! [X0: $i,X1: $i,X2: $i] : nextto(pin(X0),nextto(on(large,pin(X1)),X2)) = nextto(pin(X1),nextto(on(large,pin(X0)),X2)),
inference(theory_normalisation,[status(thm)],[c_839,c_63,c_62]) ).
tcf(c_879,plain,
! [X0: $i,X1: $i] : nextto(on(large,X0),on(medium,pin(X1))) = nextto(pin(X1),on(medium,on(large,X0))),
inference(superposition,[status(thm)],[c_476,c_62]) ).
tcf(c_927,plain,
! [X0: $i,X1: $i,X2: $i] : nextto(pin(X0),nextto(X1,on(small,on(medium,X2)))) = nextto(X1,nextto(on(medium,X2),on(small,pin(X0)))),
inference(superposition,[status(thm)],[c_502,c_672]) ).
tcf(c_989,plain,
! [X0: $i] :
( ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) = X0 )
| ( X0 != nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) )
| ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) != nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) ) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_990,plain,
nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) = nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_1185,plain,
! [X0: $i,X1: $i,X2: $i] : nextto(nextto(on(large,X0),on(medium,pin(X1))),X2) = nextto(pin(X1),nextto(on(medium,on(large,X0)),X2)),
inference(superposition,[status(thm)],[c_879,c_63]) ).
tcf(c_1190,plain,
! [X0: $i,X1: $i,X2: $i] : nextto(on(large,X0),nextto(on(medium,pin(X1)),X2)) = nextto(pin(X1),nextto(on(medium,on(large,X0)),X2)),
inference(theory_normalisation,[status(thm)],[c_1185,c_63,c_62]) ).
tcf(c_1282,plain,
( ( nextto(on(small,pin(n3)),on(medium,on(large,pin(n1)))) = nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) )
| ~ fits(small,pin(n3))
| ~ fits(small,on(medium,on(large,pin(n1)))) ),
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_1900,plain,
fits(small,on(medium,on(large,pin(n1)))),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_3479,plain,
fits(small,pin(n3)),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_4492,plain,
( ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) = nextto(on(small,pin(n3)),on(medium,on(large,pin(n1)))) )
| ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) != nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) )
| ( nextto(on(small,pin(n3)),on(medium,on(large,pin(n1)))) != nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) ) ),
inference(instantiation,[status(thm)],[c_989]) ).
tcf(c_7079,plain,
! [X0: $i] :
( ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) = X0 )
| ( X0 != nextto(on(small,pin(n3)),on(medium,on(large,pin(n1)))) )
| ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) != nextto(on(small,pin(n3)),on(medium,on(large,pin(n1)))) ) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_11040,plain,
nextto(on(medium,on(large,pin(n1))),on(small,pin(n3))) = nextto(on(small,pin(n3)),on(medium,on(large,pin(n1)))),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_18334,plain,
( ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) = nextto(on(medium,on(large,pin(n1))),on(small,pin(n3))) )
| ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) != nextto(on(small,pin(n3)),on(medium,on(large,pin(n1)))) )
| ( nextto(on(medium,on(large,pin(n1))),on(small,pin(n3))) != nextto(on(small,pin(n3)),on(medium,on(large,pin(n1)))) ) ),
inference(instantiation,[status(thm)],[c_7079]) ).
tcf(c_29131,plain,
( ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = nextto(pin(n2),nextto(on(medium,on(large,pin(n1))),on(small,pin(n3)))) )
| ( pin(n2) != pin(n2) )
| ( nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))) != nextto(on(medium,on(large,pin(n1))),on(small,pin(n3))) ) ),
inference(instantiation,[status(thm)],[c_690]) ).
tcf(c_53758,plain,
! [X0: $i] :
( ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != X0 )
| ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_54037,plain,
! [X0: $i,X1: $i] :
( ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = X1 )
| ( X1 != X0 )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_54038,plain,
! [X0: $i,X1: $i] :
( ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != nextto(X0,X1) )
| ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != nextto(X0,X1) ) ),
inference(instantiation,[status(thm)],[c_53758]) ).
tcf(c_54083,plain,
! [X0: $i] :
( ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = X0 )
| ( X0 != nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) ) ),
inference(instantiation,[status(thm)],[c_54037]) ).
tcf(c_54096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(X1,X2) )
| ( nextto(X1,X2) != X0 )
| ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_54099,plain,
nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(pin(n2),nextto(on(medium,on(large,pin(n3))),on(small,pin(n1)))),
inference(instantiation,[status(thm)],[c_927]) ).
tcf(c_54185,plain,
! [X0: $i,X1: $i] :
( ( X1 = nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) )
| ( X1 != X0 )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != X0 ) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_54186,plain,
! [X0: $i,X1: $i] :
( ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = nextto(X0,X1) )
| ( nextto(X0,X1) != nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) ) ),
inference(instantiation,[status(thm)],[c_54083]) ).
tcf(c_54251,plain,
! [X0: $i,X1: $i] :
( ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(X0,X1) )
| ( nextto(X0,X1) != nextto(pin(n2),nextto(on(medium,on(large,pin(n3))),on(small,pin(n1)))) )
| ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != nextto(pin(n2),nextto(on(medium,on(large,pin(n3))),on(small,pin(n1)))) ) ),
inference(instantiation,[status(thm)],[c_54096]) ).
tcf(c_54607,plain,
( ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(on(large,pin(n3)),nextto(on(medium,pin(n2)),on(small,pin(n1)))) )
| ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != nextto(pin(n2),nextto(on(medium,on(large,pin(n3))),on(small,pin(n1)))) )
| ( nextto(on(large,pin(n3)),nextto(on(medium,pin(n2)),on(small,pin(n1)))) != nextto(pin(n2),nextto(on(medium,on(large,pin(n3))),on(small,pin(n1)))) ) ),
inference(instantiation,[status(thm)],[c_54251]) ).
tcf(c_54608,plain,
nextto(on(large,pin(n3)),nextto(on(medium,pin(n2)),on(small,pin(n1)))) = nextto(pin(n2),nextto(on(medium,on(large,pin(n3))),on(small,pin(n1)))),
inference(instantiation,[status(thm)],[c_1190]) ).
tcf(c_55271,plain,
! [X0: $i] :
( ( X0 = nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) )
| ( X0 != nextto(pin(n2),nextto(on(medium,on(large,pin(n1))),on(small,pin(n3)))) )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != nextto(pin(n2),nextto(on(medium,on(large,pin(n1))),on(small,pin(n3)))) ) ),
inference(instantiation,[status(thm)],[c_54185]) ).
tcf(c_55405,plain,
! [X0: $i,X1: $i] :
( ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(X0,X1) )
| ( nextto(X0,X1) != nextto(on(large,pin(n3)),nextto(on(medium,pin(n2)),on(small,pin(n1)))) )
| ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != nextto(on(large,pin(n3)),nextto(on(medium,pin(n2)),on(small,pin(n1)))) ) ),
inference(instantiation,[status(thm)],[c_54096]) ).
tcf(c_57412,plain,
( ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(pin(n1),nextto(on(large,pin(n3)),on(small,on(medium,pin(n2))))) )
| ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != nextto(on(large,pin(n3)),nextto(on(medium,pin(n2)),on(small,pin(n1)))) )
| ( nextto(pin(n1),nextto(on(large,pin(n3)),on(small,on(medium,pin(n2))))) != nextto(on(large,pin(n3)),nextto(on(medium,pin(n2)),on(small,pin(n1)))) ) ),
inference(instantiation,[status(thm)],[c_55405]) ).
tcf(c_57413,plain,
nextto(pin(n1),nextto(on(large,pin(n3)),on(small,on(medium,pin(n2))))) = nextto(on(large,pin(n3)),nextto(on(medium,pin(n2)),on(small,pin(n1)))),
inference(instantiation,[status(thm)],[c_927]) ).
tcf(c_58065,plain,
( ( nextto(on(large,pin(n1)),nextto(on(medium,pin(n2)),on(small,pin(n3)))) = nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != nextto(pin(n2),nextto(on(medium,on(large,pin(n1))),on(small,pin(n3)))) )
| ( nextto(on(large,pin(n1)),nextto(on(medium,pin(n2)),on(small,pin(n3)))) != nextto(pin(n2),nextto(on(medium,on(large,pin(n1))),on(small,pin(n3)))) ) ),
inference(instantiation,[status(thm)],[c_55271]) ).
tcf(c_58066,plain,
nextto(on(large,pin(n1)),nextto(on(medium,pin(n2)),on(small,pin(n3)))) = nextto(pin(n2),nextto(on(medium,on(large,pin(n1))),on(small,pin(n3)))),
inference(instantiation,[status(thm)],[c_1190]) ).
tcf(c_63763,plain,
! [X0: $i,X1: $i] :
( ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(X0,X1) )
| ( nextto(X0,X1) != nextto(pin(n1),nextto(on(large,pin(n3)),on(small,on(medium,pin(n2))))) )
| ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != nextto(pin(n1),nextto(on(large,pin(n3)),on(small,on(medium,pin(n2))))) ) ),
inference(instantiation,[status(thm)],[c_54096]) ).
tcf(c_69827,plain,
( ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = nextto(on(large,pin(n1)),nextto(on(medium,pin(n2)),on(small,pin(n3)))) )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) )
| ( nextto(on(large,pin(n1)),nextto(on(medium,pin(n2)),on(small,pin(n3)))) != nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) ) ),
inference(instantiation,[status(thm)],[c_54186]) ).
tcf(c_75215,plain,
( ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(pin(n3),nextto(on(large,pin(n1)),on(small,on(medium,pin(n2))))) )
| ( nextto(pin(n3),nextto(on(large,pin(n1)),on(small,on(medium,pin(n2))))) != nextto(pin(n1),nextto(on(large,pin(n3)),on(small,on(medium,pin(n2))))) )
| ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != nextto(pin(n1),nextto(on(large,pin(n3)),on(small,on(medium,pin(n2))))) ) ),
inference(instantiation,[status(thm)],[c_63763]) ).
tcf(c_75216,plain,
nextto(pin(n3),nextto(on(large,pin(n1)),on(small,on(medium,pin(n2))))) = nextto(pin(n1),nextto(on(large,pin(n3)),on(small,on(medium,pin(n2))))),
inference(instantiation,[status(thm)],[c_844]) ).
tcf(c_78118,plain,
! [X0: $i] :
( ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = X0 )
| ( X0 != nextto(on(large,pin(n1)),nextto(on(medium,pin(n2)),on(small,pin(n3)))) )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != nextto(on(large,pin(n1)),nextto(on(medium,pin(n2)),on(small,pin(n3)))) ) ),
inference(instantiation,[status(thm)],[c_54037]) ).
tcf(c_83386,plain,
( ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) = nextto(pin(n3),nextto(on(large,pin(n1)),on(small,on(medium,pin(n2))))) )
| ( nextto(pin(n3),nextto(on(large,pin(n1)),on(small,on(medium,pin(n2))))) != nextto(on(large,pin(n1)),nextto(on(medium,pin(n2)),on(small,pin(n3)))) )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != nextto(on(large,pin(n1)),nextto(on(medium,pin(n2)),on(small,pin(n3)))) ) ),
inference(instantiation,[status(thm)],[c_78118]) ).
tcf(c_83387,plain,
nextto(pin(n3),nextto(on(large,pin(n1)),on(small,on(medium,pin(n2))))) = nextto(on(large,pin(n1)),nextto(on(medium,pin(n2)),on(small,pin(n3)))),
inference(instantiation,[status(thm)],[c_927]) ).
tcf(c_90819,plain,
( ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) = nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) )
| ( nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1)))))) != nextto(pin(n3),nextto(on(large,pin(n1)),on(small,on(medium,pin(n2))))) )
| ( nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3)))))) != nextto(pin(n3),nextto(on(large,pin(n1)),on(small,on(medium,pin(n2))))) ) ),
inference(instantiation,[status(thm)],[c_54038]) ).
tcf(c_90820,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_90819,c_83387,c_83386,c_75216,c_75215,c_69827,c_58066,c_58065,c_57413,c_57412,c_54608,c_54607,c_54099,c_29131,c_18334,c_11040,c_4492,c_3479,c_1900,c_1282,c_990,c_541,c_482,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ056-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.58 % Computer : n005.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Thu Sep 24 06:49:19 UTC 2026
% 0.11/0.59 % CPUTime :
% 0.11/0.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.63
% 0.15/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63
% 0.15/0.64 % Detected problem language: tptp
% 0.15/0.65 % Proving...
% 77.59/12.65 % SZS status Started for theBenchmark.p
% 77.59/12.65 ERROR - "ProverProcess:heur/379306:2.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Z3.Error("Sort mismatch at argument #1 for function (declare-fun f_104 (s_0 s_0) s_0) supplied sort is s_107")
% 77.59/12.65 Fatal error: exception Z3.Error("Sort mismatch at argument #1 for function (declare-fun f_104 (s_0 s_0) s_0) supplied sort is s_107")
% 77.59/12.65 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 6 --comb_sup_mult 32 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground false --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs;Unflattening]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;DemodLoopTriv;ACNormalisation]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;Demod;LightNorm;ACNormalisation]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[]" --sup_input_bw "[SubsumptionRes]" --sup_input_fw "[SMTSubs;]" --sup_input_triv "[]" --sup_iter_deepening 1 --sup_passive_queue_type priority_queues --sup_passive_queues "[[+min_def_symb;-score;+epr];[-next_state;-conj_dist;+conj_symb]]" --sup_passive_queues_freq "[3;512]" --sup_prop_simpl_given false --sup_prop_simpl_new true --sup_restarts_mult 16 --sup_score sim_d_gen --sup_share_max_num_cl 320 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering arity_rev --sup_to_prop_solver none --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.67" --time_out_real 2.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_z7unlmdg/7toogxwn 2>> /export/starexec/sandbox2/tmp/iprover_out_z7unlmdg/7toogxwn_error
% 77.59/12.65 % SZS status Unsatisfiable for theBenchmark.p
% 77.59/12.65
% 77.59/12.65 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 77.59/12.65
% 77.59/12.65 % ------ iProver source info
% 77.59/12.65
% 77.59/12.65 % git: date: 2026-07-19 20:42:38 +0200
% 77.59/12.65 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 77.59/12.65 % git: non_committed_changes: false
% 77.59/12.65
% 77.59/12.65 % ------ Parsing...% successful
% 77.59/12.65
% 77.59/12.65
% 77.59/12.65 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 77.59/12.65
% 77.59/12.65 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 77.59/12.65
% 77.59/12.65 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 77.59/12.65
% 77.59/12.65 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 77.59/12.65 % ------ Proving...
% 77.59/12.65 % ------ Problem Properties
% 77.59/12.65
% 77.59/12.65 %
% 77.59/12.65 % clauses 10
% 77.59/12.65 % conjectures 0
% 77.59/12.65 % EPR 0
% 77.59/12.65 % Horn 10
% 77.59/12.65 % unary 9
% 77.59/12.65 % binary 0
% 77.59/12.65 % lits 12
% 77.59/12.65 % lits eq 4
% 77.59/12.65 % fd_pure 0
% 77.59/12.65 % fd_pseudo 0
% 77.59/12.65 % fd_cond 0
% 77.59/12.65 % fd_pseudo_cond 0
% 77.59/12.65 % AC symbols 1
% 77.59/12.65
% 77.59/12.65 % ------ Input Options Time Limit: Unbounded
% 77.59/12.65
% 77.59/12.65
% 77.59/12.65 % ------
% 77.59/12.65 % Current options:
% 77.59/12.65 % ------
% 77.59/12.65
% 77.59/12.65
% 77.59/12.65 %
% 77.59/12.65
% 77.59/12.65 % ------ Proving...
% 77.59/12.65 %
% 77.59/12.65
% 77.59/12.65 % SZS status Unsatisfiable for theBenchmark.p
% 77.59/12.65
% 77.59/12.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 77.59/12.65
% 77.59/12.65
%------------------------------------------------------------------------------