%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ056-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 : Thu Sep 24 02:01:44 PM UTC 2026
% Result : Unsatisfiable 16.70s 3.00s
% Output : CNFRefutation 16.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of clauses : 88 ( 45 unt; 0 nHn; 10 RR)
% Number of literals : 134 ( 69 equ; 49 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% 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 : 207 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a_move,axiom,
( ~ fits(X1,X2)
| ~ fits(X1,X3)
| nextto(on(X1,X2),X3) = nextto(X2,on(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_move) ).
cnf(nextto_commutative,axiom,
nextto(X1,X2) = nextto(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nextto_commutative) ).
cnf(nextto_associative,axiom,
nextto(X1,nextto(X2,X3)) = nextto(nextto(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nextto_associative) ).
cnf(fits_1,axiom,
fits(small,pin(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_1) ).
cnf(fits_5,axiom,
fits(medium,on(large,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_5) ).
cnf(fits_3,axiom,
fits(large,pin(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_3) ).
cnf(fits_4,axiom,
fits(small,on(medium,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_4) ).
cnf(fits_2,axiom,
fits(medium,pin(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_2) ).
cnf(fits_6,axiom,
fits(small,on(large,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fits_6) ).
cnf(initial_state,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) ).
cnf(final_state,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) ).
cnf(c_0_11,plain,
( ~ fits(X1,X2)
| ~ fits(X1,X3)
| nextto(on(X1,X2),X3) = nextto(X2,on(X1,X3)) ),
inference(fof_simplification,[status(thm)],[a_move]) ).
cnf(c_0_12,axiom,
nextto(X1,X2) = nextto(X2,X1),
nextto_commutative ).
cnf(c_0_13,axiom,
nextto(X1,nextto(X2,X3)) = nextto(nextto(X1,X2),X3),
nextto_associative ).
cnf(c_0_14,plain,
( ~ fits(X1,X2)
| ~ fits(X1,X3)
| nextto(on(X1,X2),X3) = nextto(X2,on(X1,X3)) ),
c_0_11 ).
cnf(c_0_15,axiom,
fits(small,pin(X1)),
fits_1 ).
cnf(c_0_16,plain,
nextto(X1,nextto(X2,X3)) = nextto(X3,nextto(X1,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),pin(X2)) = nextto(X1,on(small,pin(X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
fits(medium,on(large,X1)),
fits_5 ).
cnf(c_0_19,axiom,
fits(large,pin(X1)),
fits_3 ).
cnf(c_0_20,plain,
nextto(X1,nextto(X2,X3)) = nextto(X2,nextto(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_13]) ).
cnf(c_0_21,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),nextto(pin(X2),X3)) = nextto(X3,nextto(X1,on(small,pin(X2)))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,axiom,
fits(small,on(medium,X1)),
fits_4 ).
cnf(c_0_23,axiom,
fits(medium,pin(X1)),
fits_2 ).
cnf(c_0_24,axiom,
fits(small,on(large,X1)),
fits_6 ).
cnf(c_0_25,plain,
( ~ fits(medium,X1)
| nextto(on(medium,X1),on(large,X2)) = nextto(X1,on(medium,on(large,X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_26,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),nextto(pin(X2),X3)) = nextto(X1,nextto(on(small,pin(X2)),X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_13]) ).
cnf(c_0_27,plain,
( ~ fits(large,X1)
| nextto(on(large,X1),pin(X2)) = nextto(X1,on(large,pin(X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_28,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),nextto(pin(X2),X3)) = nextto(X1,nextto(X3,on(small,pin(X2)))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),on(medium,X2)) = nextto(X1,on(small,on(medium,X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_30,plain,
( ~ fits(medium,X1)
| nextto(on(medium,X1),pin(X2)) = nextto(X1,on(medium,pin(X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_31,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),on(large,X2)) = nextto(X1,on(small,on(large,X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_32,plain,
( ~ fits(medium,X2)
| nextto(X1,nextto(X2,on(medium,on(large,X3)))) = nextto(on(large,X3),nextto(X1,on(medium,X2))) ),
inference(spm,[status(thm)],[c_0_16,c_0_25]) ).
cnf(c_0_33,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),nextto(X2,pin(X3))) = nextto(X1,nextto(on(small,pin(X3)),X2)) ),
inference(spm,[status(thm)],[c_0_26,c_0_12]) ).
cnf(c_0_34,plain,
( ~ fits(large,X2)
| nextto(X1,nextto(X2,on(large,pin(X3)))) = nextto(pin(X3),nextto(X1,on(large,X2))) ),
inference(spm,[status(thm)],[c_0_16,c_0_27]) ).
cnf(c_0_35,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),nextto(X2,pin(X3))) = nextto(X1,nextto(X2,on(small,pin(X3)))) ),
inference(spm,[status(thm)],[c_0_28,c_0_12]) ).
cnf(c_0_36,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),nextto(on(medium,X2),X3)) = nextto(X1,nextto(on(small,on(medium,X2)),X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_29]),c_0_13]) ).
cnf(c_0_37,plain,
( ~ fits(medium,X2)
| nextto(X1,nextto(X2,on(medium,pin(X3)))) = nextto(pin(X3),nextto(X1,on(medium,X2))) ),
inference(spm,[status(thm)],[c_0_16,c_0_30]) ).
cnf(c_0_38,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),nextto(on(large,X2),X3)) = nextto(X1,nextto(on(small,on(large,X2)),X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_31]),c_0_13]) ).
cnf(c_0_39,plain,
( ~ fits(medium,X3)
| nextto(on(medium,on(large,X1)),nextto(X2,X3)) = nextto(on(large,X1),nextto(X2,on(medium,X3))) ),
inference(spm,[status(thm)],[c_0_16,c_0_32]) ).
cnf(c_0_40,plain,
( ~ fits(small,X1)
| nextto(X1,nextto(on(small,pin(X2)),pin(X3))) = nextto(X1,nextto(pin(X2),on(small,pin(X3)))) ),
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
cnf(c_0_41,plain,
( ~ fits(large,X3)
| nextto(on(large,pin(X1)),nextto(X2,X3)) = nextto(pin(X1),nextto(X2,on(large,X3))) ),
inference(spm,[status(thm)],[c_0_16,c_0_34]) ).
cnf(c_0_42,plain,
( ~ fits(small,X1)
| nextto(X1,nextto(on(small,on(medium,X2)),pin(X3))) = nextto(X1,nextto(on(medium,X2),on(small,pin(X3)))) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
nextto(X1,nextto(X2,X3)) = nextto(X3,nextto(X2,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_44,plain,
( ~ fits(small,X1)
| nextto(X1,on(small,pin(X2))) = nextto(pin(X2),on(small,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_45,plain,
( ~ fits(medium,X3)
| nextto(on(medium,pin(X1)),nextto(X2,X3)) = nextto(pin(X1),nextto(X2,on(medium,X3))) ),
inference(spm,[status(thm)],[c_0_16,c_0_37]) ).
cnf(c_0_46,plain,
( ~ fits(small,X1)
| nextto(X1,nextto(on(small,on(large,X2)),pin(X3))) = nextto(X1,nextto(on(large,X2),on(small,pin(X3)))) ),
inference(spm,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_47,plain,
( ~ fits(medium,X1)
| nextto(on(medium,X1),nextto(pin(X2),X3)) = nextto(X1,nextto(on(medium,pin(X2)),X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_30]),c_0_13]) ).
cnf(c_0_48,plain,
nextto(on(medium,on(large,X1)),nextto(pin(X2),on(small,pin(X3)))) = nextto(on(large,X1),nextto(on(small,pin(X2)),on(medium,pin(X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_23]),c_0_22])]) ).
cnf(c_0_49,plain,
nextto(on(large,pin(X1)),nextto(on(medium,X2),on(small,pin(X3)))) = nextto(pin(X1),nextto(on(small,on(medium,X2)),on(large,pin(X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_19]),c_0_24])]) ).
cnf(c_0_50,plain,
( ~ fits(small,X2)
| nextto(X1,nextto(X2,on(small,pin(X3)))) = nextto(pin(X3),nextto(X1,on(small,X2))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_51,plain,
( ~ fits(small,X2)
| nextto(on(small,pin(X1)),nextto(X2,X3)) = nextto(X3,nextto(pin(X1),on(small,X2))) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,plain,
( ~ fits(medium,X1)
| nextto(X1,on(medium,on(large,X2))) = nextto(on(large,X2),on(medium,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_53,plain,
( ~ fits(medium,X1)
| nextto(on(medium,X1),nextto(on(large,X2),X3)) = nextto(X1,nextto(on(medium,on(large,X2)),X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_25]),c_0_13]) ).
cnf(c_0_54,plain,
nextto(on(medium,pin(X1)),nextto(on(large,X2),on(small,pin(X3)))) = nextto(pin(X1),nextto(on(small,on(large,X2)),on(medium,pin(X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_23]),c_0_22])]) ).
cnf(c_0_55,plain,
nextto(on(large,X1),nextto(on(medium,pin(X2)),on(small,pin(X3)))) = nextto(on(large,X1),nextto(on(small,pin(X2)),on(medium,pin(X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_18])]) ).
cnf(c_0_56,plain,
nextto(on(large,pin(X1)),nextto(on(small,pin(X2)),on(medium,X3))) = nextto(pin(X1),nextto(on(small,on(medium,X3)),on(large,pin(X2)))),
inference(spm,[status(thm)],[c_0_49,c_0_12]) ).
cnf(c_0_57,plain,
( ~ fits(small,X2)
| nextto(X1,nextto(X2,on(small,on(medium,X3)))) = nextto(on(small,X2),nextto(X1,on(medium,X3))) ),
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
cnf(c_0_58,plain,
( ~ fits(small,X2)
| nextto(on(small,pin(X1)),nextto(X2,pin(X3))) = nextto(pin(X1),nextto(X2,on(small,pin(X3)))) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,plain,
( ~ fits(medium,X2)
| nextto(on(medium,on(large,X1)),X2) = nextto(on(large,X1),on(medium,X2)) ),
inference(spm,[status(thm)],[c_0_12,c_0_52]) ).
cnf(c_0_60,plain,
nextto(pin(X1),nextto(on(medium,on(large,X2)),on(small,pin(X3)))) = nextto(pin(X1),nextto(on(small,on(large,X2)),on(medium,pin(X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_23])]) ).
cnf(c_0_61,plain,
nextto(pin(X1),nextto(on(small,on(medium,pin(X2))),on(large,pin(X3)))) = nextto(pin(X1),nextto(on(small,on(medium,pin(X3))),on(large,pin(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_49]),c_0_56]) ).
cnf(c_0_62,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),nextto(on(large,X2),X3)) = nextto(X3,nextto(X1,on(small,on(large,X2)))) ),
inference(spm,[status(thm)],[c_0_16,c_0_31]) ).
cnf(c_0_63,plain,
( ~ fits(small,X2)
| nextto(X1,nextto(X2,on(small,on(medium,X3)))) = nextto(on(medium,X3),nextto(X1,on(small,X2))) ),
inference(spm,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_64,plain,
( ~ fits(large,X1)
| nextto(X1,on(large,pin(X2))) = nextto(pin(X2),on(large,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_27]) ).
cnf(c_0_65,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),nextto(X2,on(medium,X3))) = nextto(X1,nextto(X2,on(small,on(medium,X3)))) ),
inference(spm,[status(thm)],[c_0_20,c_0_57]) ).
cnf(c_0_66,plain,
nextto(on(small,pin(X1)),nextto(on(large,X2),on(medium,pin(X3)))) = nextto(pin(X1),nextto(on(small,on(large,X2)),on(medium,pin(X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_22]),c_0_23])]) ).
cnf(c_0_67,plain,
nextto(pin(X1),nextto(on(small,on(medium,pin(X2))),on(large,pin(X3)))) = nextto(pin(X1),nextto(on(large,pin(X2)),on(small,on(medium,pin(X3))))),
inference(spm,[status(thm)],[c_0_61,c_0_12]) ).
cnf(c_0_68,plain,
( ~ fits(small,X2)
| nextto(X1,nextto(on(small,X2),on(large,X3))) = nextto(X1,nextto(X2,on(small,on(large,X3)))) ),
inference(spm,[status(thm)],[c_0_16,c_0_62]) ).
cnf(c_0_69,plain,
( ~ fits(small,X2)
| nextto(on(small,on(medium,X1)),nextto(X2,X3)) = nextto(on(medium,X1),nextto(X3,on(small,X2))) ),
inference(spm,[status(thm)],[c_0_43,c_0_63]) ).
cnf(c_0_70,plain,
( ~ fits(small,X1)
| nextto(on(small,X1),nextto(pin(X2),on(large,pin(X3)))) = nextto(X1,nextto(on(small,pin(X3)),on(large,pin(X2)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_64]),c_0_19])]) ).
cnf(c_0_71,plain,
nextto(on(medium,pin(X1)),nextto(on(small,pin(X2)),on(large,X3))) = nextto(pin(X1),nextto(on(small,on(large,X3)),on(medium,pin(X2)))),
inference(spm,[status(thm)],[c_0_54,c_0_12]) ).
cnf(c_0_72,plain,
nextto(pin(X1),nextto(on(small,on(large,X2)),on(medium,pin(X3)))) = nextto(pin(X1),nextto(on(large,X2),on(small,on(medium,pin(X3))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_15])]) ).
cnf(c_0_73,plain,
( ~ fits(small,X2)
| nextto(on(small,pin(X1)),nextto(X2,on(medium,X3))) = nextto(pin(X1),nextto(X2,on(small,on(medium,X3)))) ),
inference(spm,[status(thm)],[c_0_63,c_0_51]) ).
cnf(c_0_74,plain,
nextto(pin(X1),nextto(on(large,pin(X2)),on(small,on(medium,pin(X3))))) = nextto(pin(X1),nextto(on(large,pin(X3)),on(small,on(medium,pin(X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_67]),c_0_67]) ).
cnf(c_0_75,plain,
nextto(pin(X1),nextto(on(large,pin(X2)),on(small,on(medium,pin(X3))))) = nextto(pin(X1),nextto(on(medium,pin(X2)),on(small,on(large,pin(X3))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_67]),c_0_22])]) ).
cnf(c_0_76,plain,
( ~ fits(medium,X2)
| nextto(on(medium,pin(X1)),nextto(X2,X3)) = nextto(pin(X1),nextto(X3,on(medium,X2))) ),
inference(spm,[status(thm)],[c_0_43,c_0_37]) ).
cnf(c_0_77,plain,
nextto(on(medium,X1),nextto(on(large,pin(X2)),on(small,pin(X3)))) = nextto(on(medium,X1),nextto(on(small,pin(X2)),on(large,pin(X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_15]),c_0_22])]) ).
cnf(c_0_78,plain,
nextto(on(medium,pin(X1)),nextto(on(small,pin(X2)),on(large,X3))) = nextto(pin(X1),nextto(on(large,X3),on(small,on(medium,pin(X2))))),
inference(rw,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,plain,
nextto(pin(X1),nextto(on(small,pin(X2)),on(medium,X3))) = nextto(pin(X1),nextto(pin(X2),on(small,on(medium,X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_73]),c_0_15]),c_0_15])]) ).
cnf(c_0_80,axiom,
state(nextto(on(small,on(medium,on(large,pin(n1)))),nextto(pin(n2),pin(n3)))),
initial_state ).
cnf(c_0_81,plain,
nextto(pin(X1),nextto(on(medium,pin(X2)),on(small,on(large,pin(X3))))) = nextto(pin(X1),nextto(on(medium,pin(X3)),on(small,on(large,pin(X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75]),c_0_75]) ).
cnf(c_0_82,plain,
nextto(pin(X1),nextto(on(medium,pin(X2)),on(small,on(large,pin(X3))))) = nextto(pin(X1),nextto(pin(X2),on(small,on(medium,on(large,pin(X3)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_75]),c_0_79]),c_0_18])]) ).
cnf(c_0_83,negated_conjecture,
~ state(nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))))),
inference(fof_simplification,[status(thm)],[final_state]) ).
cnf(c_0_84,plain,
state(nextto(pin(n2),nextto(pin(n3),on(small,on(medium,on(large,pin(n1))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_12]),c_0_13]) ).
cnf(c_0_85,plain,
nextto(pin(X1),nextto(pin(X2),on(small,on(medium,on(large,pin(X3)))))) = nextto(pin(X1),nextto(pin(X3),on(small,on(medium,on(large,pin(X2)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_82]) ).
cnf(c_0_86,negated_conjecture,
~ state(nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))))),
c_0_83 ).
cnf(c_0_87,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_20]),c_0_86]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ056-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:51:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.70/3.00 % Version: 3.5.1
% 16.70/3.00 % Preprocessing class: FSMSSMSSSSSNFFN.
% 16.70/3.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.70/3.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 16.70/3.00 % Starting new_bool_3 with 300s (1) cores
% 16.70/3.00 % Starting new_bool_1 with 300s (1) cores
% 16.70/3.00 % Starting sh5l with 300s (1) cores
% 16.70/3.00 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 496928 completed with status 0
% 16.70/3.00 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 16.70/3.00 % Preprocessing class: FSMSSMSSSSSNFFN.
% 16.70/3.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.70/3.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 16.70/3.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.70/3.00 % No SInE strategy applied
% 16.70/3.00 % Search class: FHUSM-FFSF21-DFFFFFNN
% 16.70/3.00 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.70/3.00 % Starting SubtermCWHack with 136s (1) cores
% 16.70/3.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 16.70/3.00 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 271s (1) cores
% 16.70/3.00 % Starting new_bool_3 with 271s (1) cores
% 16.70/3.00 % Starting U----_206d_02_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 16.70/3.00 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 496933 completed with status 0
% 16.70/3.00 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 16.70/3.00 % Preprocessing class: FSMSSMSSSSSNFFN.
% 16.70/3.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.70/3.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 16.70/3.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.70/3.00 % No SInE strategy applied
% 16.70/3.00 % Search class: FHUSM-FFSF21-DFFFFFNN
% 16.70/3.00 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.70/3.00 % Starting SubtermCWHack with 136s (1) cores
% 16.70/3.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 16.70/3.00 % Preprocessing time : 0.001 s
% 16.70/3.00 % Presaturation interreduction done
% 16.70/3.00
% 16.70/3.00 % Proof found!
% 16.70/3.00 % SZS status Unsatisfiable
% 16.70/3.00 % SZS output start CNFRefutation
% See solution above
% 16.70/3.00 % Parsed axioms : 11
% 16.70/3.00 % Removed by relevancy pruning/SinE : 0
% 16.70/3.00 % Initial clauses : 11
% 16.70/3.00 % Removed in clause preprocessing : 0
% 16.70/3.00 % Initial clauses in saturation : 11
% 16.70/3.00 % Processed clauses : 2074
% 16.70/3.00 % ...of these trivial : 273
% 16.70/3.00 % ...subsumed : 1256
% 16.70/3.00 % ...remaining for further processing : 545
% 16.70/3.00 % Other redundant clauses eliminated : 0
% 16.70/3.00 % Clauses deleted for lack of memory : 0
% 16.70/3.00 % Backward-subsumed : 4
% 16.70/3.00 % Backward-rewritten : 55
% 16.70/3.00 % Generated clauses : 152486
% 16.70/3.00 % ...of the previous two non-redundant : 151447
% 16.70/3.00 % ...aggressively subsumed : 0
% 16.70/3.00 % Contextual simplify-reflections : 0
% 16.70/3.00 % Paramodulations : 152486
% 16.70/3.00 % Factorizations : 0
% 16.70/3.00 % NegExts : 0
% 16.70/3.00 % Equation resolutions : 0
% 16.70/3.00 % Disequality decompositions : 0
% 16.70/3.00 % Total rewrite steps : 97034
% 16.70/3.00 % ...of those cached : 82576
% 16.70/3.00 % Propositional unsat checks : 0
% 16.70/3.00 % Propositional check models : 0
% 16.70/3.00 % Propositional check unsatisfiable : 0
% 16.70/3.00 % Propositional clauses : 0
% 16.70/3.00 % Propositional clauses after purity: 0
% 16.70/3.00 % Propositional unsat core size : 0
% 16.70/3.00 % Propositional preprocessing time : 0.000
% 16.70/3.00 % Propositional encoding time : 0.000
% 16.70/3.00 % Propositional solver time : 0.000
% 16.70/3.00 % Success case prop preproc time : 0.000
% 16.70/3.00 % Success case prop encoding time : 0.000
% 16.70/3.00 % Success case prop solver time : 0.000
% 16.70/3.00 % Current number of processed clauses : 475
% 16.70/3.00 % Positive orientable unit clauses : 91
% 16.70/3.00 % Positive unorientable unit clauses: 5
% 16.70/3.00 % Negative unit clauses : 1
% 16.70/3.00 % Non-unit-clauses : 378
% 16.70/3.00 % Current number of unprocessed clauses: 149365
% 16.70/3.00 % ...number of literals in the above : 390811
% 16.70/3.00 % Current number of archived formulas : 0
% 16.70/3.00 % Current number of archived clauses : 70
% 16.70/3.00 % Clause-clause subsumption calls (NU) : 33835
% 16.70/3.00 % Rec. Clause-clause subsumption calls : 33705
% 16.70/3.00 % Non-unit clause-clause subsumptions : 1223
% 16.70/3.00 % Unit Clause-clause subsumption calls : 19
% 16.70/3.00 % Rewrite failures with RHS unbound : 0
% 16.70/3.00 % BW rewrite match attempts : 1416
% 16.70/3.00 % BW rewrite match successes : 80
% 16.70/3.00 % Condensation attempts : 0
% 16.70/3.00 % Condensation successes : 0
% 16.70/3.00 % Termbank termtop insertions : 4171434
% 16.70/3.00 % Search garbage collected termcells : 8
% 16.70/3.00
% 16.70/3.00 % -------------------------------------------------
% 16.70/3.00 % User time : 2.203 s
% 16.70/3.00 % System time : 0.122 s
% 16.70/3.00 % Total time : 2.325 s
% 16.70/3.00 % Maximum resident set size: 3332 pages
% 16.70/3.00
% 16.70/3.00 % -------------------------------------------------
% 16.70/3.00 % User time : 11.239 s
% 16.70/3.00 % System time : 0.618 s
% 16.70/3.00 % Total time : 11.857 s
% 16.70/3.00 % Maximum resident set size: 4608 pages
% 16.70/3.00 % E exiting
%------------------------------------------------------------------------------