TSTP Solution File: PUZ056-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ056-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:12:23 EDT 2023
% Result : Unsatisfiable 109.86s 109.85s
% Output : CNFRefutation 109.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 97 ( 44 unt; 11 typ; 0 def)
% Number of atoms : 130 ( 68 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 90 ( 46 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 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 : 204 ( 12 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
small: $i ).
tff(decl_23,type,
medium: $i ).
tff(decl_24,type,
large: $i ).
tff(decl_25,type,
n1: $i ).
tff(decl_26,type,
pin: $i > $i ).
tff(decl_27,type,
on: ( $i * $i ) > $i ).
tff(decl_28,type,
n2: $i ).
tff(decl_29,type,
n3: $i ).
tff(decl_30,type,
nextto: ( $i * $i ) > $i ).
tff(decl_31,type,
state: $i > $o ).
tff(decl_32,type,
fits: ( $i * $i ) > $o ).
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(a_move,axiom,
( nextto(on(X1,X2),X3) = nextto(X2,on(X1,X3))
| ~ fits(X1,X3)
| ~ fits(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_move) ).
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,axiom,
nextto(X1,X2) = nextto(X2,X1),
nextto_commutative ).
cnf(c_0_12,axiom,
nextto(X1,nextto(X2,X3)) = nextto(nextto(X1,X2),X3),
nextto_associative ).
cnf(c_0_13,axiom,
( nextto(on(X1,X2),X3) = nextto(X2,on(X1,X3))
| ~ fits(X1,X3)
| ~ fits(X1,X2) ),
a_move ).
cnf(c_0_14,axiom,
fits(small,pin(X1)),
fits_1 ).
cnf(c_0_15,plain,
nextto(X1,nextto(X2,X3)) = nextto(X3,nextto(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( nextto(on(small,X1),pin(X2)) = nextto(X1,on(small,pin(X2)))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,axiom,
fits(medium,on(large,X1)),
fits_5 ).
cnf(c_0_18,axiom,
fits(large,pin(X1)),
fits_3 ).
cnf(c_0_19,plain,
nextto(X1,nextto(X2,X3)) = nextto(X2,nextto(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_11]),c_0_12]) ).
cnf(c_0_20,plain,
( nextto(on(small,X1),nextto(pin(X2),X3)) = nextto(X3,nextto(X1,on(small,pin(X2))))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,axiom,
fits(small,on(medium,X1)),
fits_4 ).
cnf(c_0_22,axiom,
fits(medium,pin(X1)),
fits_2 ).
cnf(c_0_23,axiom,
fits(small,on(large,X1)),
fits_6 ).
cnf(c_0_24,plain,
( nextto(on(medium,X1),on(large,X2)) = nextto(X1,on(medium,on(large,X2)))
| ~ fits(medium,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_25,plain,
( nextto(on(small,X1),nextto(pin(X2),X3)) = nextto(X1,nextto(on(small,pin(X2)),X3))
| ~ fits(small,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_16]),c_0_12]) ).
cnf(c_0_26,plain,
( nextto(on(large,X1),pin(X2)) = nextto(X1,on(large,pin(X2)))
| ~ fits(large,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_27,plain,
( nextto(on(small,X1),nextto(pin(X2),X3)) = nextto(X1,nextto(X3,on(small,pin(X2))))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,plain,
( nextto(on(small,X1),on(medium,X2)) = nextto(X1,on(small,on(medium,X2)))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
cnf(c_0_29,plain,
( nextto(on(medium,X1),pin(X2)) = nextto(X1,on(medium,pin(X2)))
| ~ fits(medium,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
cnf(c_0_30,plain,
( nextto(on(small,X1),on(large,X2)) = nextto(X1,on(small,on(large,X2)))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_31,plain,
( nextto(X1,nextto(X2,on(medium,on(large,X3)))) = nextto(on(large,X3),nextto(X1,on(medium,X2)))
| ~ fits(medium,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_32,plain,
( nextto(on(small,X1),nextto(X2,pin(X3))) = nextto(X1,nextto(on(small,pin(X3)),X2))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_33,plain,
( nextto(X1,nextto(X2,on(large,pin(X3)))) = nextto(pin(X3),nextto(X1,on(large,X2)))
| ~ fits(large,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_34,plain,
( nextto(on(small,X1),nextto(X2,pin(X3))) = nextto(X1,nextto(X2,on(small,pin(X3))))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_35,plain,
( nextto(on(small,X1),nextto(on(medium,X2),X3)) = nextto(X1,nextto(on(small,on(medium,X2)),X3))
| ~ fits(small,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_28]),c_0_12]) ).
cnf(c_0_36,plain,
( nextto(X1,nextto(X2,on(medium,pin(X3)))) = nextto(pin(X3),nextto(X1,on(medium,X2)))
| ~ fits(medium,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_29]) ).
cnf(c_0_37,plain,
( nextto(on(small,X1),nextto(on(large,X2),X3)) = nextto(X1,nextto(on(small,on(large,X2)),X3))
| ~ fits(small,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_30]),c_0_12]) ).
cnf(c_0_38,plain,
( nextto(on(medium,on(large,X1)),nextto(X2,X3)) = nextto(on(large,X1),nextto(X2,on(medium,X3)))
| ~ fits(medium,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_31]) ).
cnf(c_0_39,plain,
( nextto(X1,nextto(on(small,pin(X2)),pin(X3))) = nextto(X1,nextto(pin(X2),on(small,pin(X3))))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_27]) ).
cnf(c_0_40,plain,
( nextto(on(large,pin(X1)),nextto(X2,X3)) = nextto(pin(X1),nextto(X2,on(large,X3)))
| ~ fits(large,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_33]) ).
cnf(c_0_41,plain,
( nextto(X1,nextto(on(small,on(medium,X2)),pin(X3))) = nextto(X1,nextto(on(medium,X2),on(small,pin(X3))))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
nextto(X1,nextto(X2,X3)) = nextto(X3,nextto(X2,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_43,plain,
( nextto(X1,on(small,pin(X2))) = nextto(pin(X2),on(small,X1))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_44,plain,
( nextto(on(medium,pin(X1)),nextto(X2,X3)) = nextto(pin(X1),nextto(X2,on(medium,X3)))
| ~ fits(medium,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_36]) ).
cnf(c_0_45,plain,
( nextto(X1,nextto(on(small,on(large,X2)),pin(X3))) = nextto(X1,nextto(on(large,X2),on(small,pin(X3))))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
cnf(c_0_46,plain,
( nextto(on(medium,X1),nextto(pin(X2),X3)) = nextto(X1,nextto(on(medium,pin(X2)),X3))
| ~ fits(medium,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_29]),c_0_12]) ).
cnf(c_0_47,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_38,c_0_39]),c_0_22]),c_0_21])]) ).
cnf(c_0_48,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_40,c_0_41]),c_0_18]),c_0_23])]) ).
cnf(c_0_49,plain,
( nextto(X1,nextto(X2,on(small,pin(X3)))) = nextto(pin(X3),nextto(X1,on(small,X2)))
| ~ fits(small,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_50,plain,
( nextto(on(small,pin(X1)),nextto(X2,X3)) = nextto(X3,nextto(pin(X1),on(small,X2)))
| ~ fits(small,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,plain,
( nextto(X1,on(medium,on(large,X2))) = nextto(on(large,X2),on(medium,X1))
| ~ fits(medium,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_24]) ).
cnf(c_0_52,plain,
( nextto(on(medium,X1),nextto(on(large,X2),X3)) = nextto(X1,nextto(on(medium,on(large,X2)),X3))
| ~ fits(medium,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_24]),c_0_12]) ).
cnf(c_0_53,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_44,c_0_45]),c_0_22]),c_0_21])]) ).
cnf(c_0_54,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_46,c_0_47]),c_0_17])]) ).
cnf(c_0_55,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_48,c_0_11]) ).
cnf(c_0_56,plain,
( nextto(X1,nextto(X2,on(small,on(medium,X3)))) = nextto(on(small,X2),nextto(X1,on(medium,X3)))
| ~ fits(small,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_57,plain,
( nextto(on(small,pin(X1)),nextto(X2,pin(X3))) = nextto(pin(X1),nextto(X2,on(small,pin(X3))))
| ~ fits(small,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,plain,
( nextto(on(medium,on(large,X1)),X2) = nextto(on(large,X1),on(medium,X2))
| ~ fits(medium,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_51]) ).
cnf(c_0_59,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_52,c_0_53]),c_0_22])]) ).
cnf(c_0_60,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_54,c_0_48]),c_0_55]) ).
cnf(c_0_61,plain,
( nextto(on(small,X1),nextto(on(large,X2),X3)) = nextto(X3,nextto(X1,on(small,on(large,X2))))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_30]) ).
cnf(c_0_62,plain,
( nextto(X1,nextto(X2,on(small,on(medium,X3)))) = nextto(on(medium,X3),nextto(X1,on(small,X2)))
| ~ fits(small,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_28]) ).
cnf(c_0_63,plain,
( nextto(X1,on(large,pin(X2))) = nextto(pin(X2),on(large,X1))
| ~ fits(large,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_26]) ).
cnf(c_0_64,plain,
( nextto(on(small,X1),nextto(X2,on(medium,X3))) = nextto(X1,nextto(X2,on(small,on(medium,X3))))
| ~ fits(small,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_56]) ).
cnf(c_0_65,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_57,c_0_58]),c_0_59]),c_0_21]),c_0_22])]) ).
cnf(c_0_66,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_60,c_0_11]) ).
cnf(c_0_67,plain,
( nextto(X1,nextto(on(small,X2),on(large,X3))) = nextto(X1,nextto(X2,on(small,on(large,X3))))
| ~ fits(small,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_61]) ).
cnf(c_0_68,plain,
( nextto(on(small,on(medium,X1)),nextto(X2,X3)) = nextto(on(medium,X1),nextto(X3,on(small,X2)))
| ~ fits(small,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_62]) ).
cnf(c_0_69,plain,
( nextto(on(small,X1),nextto(pin(X2),on(large,pin(X3)))) = nextto(X1,nextto(on(small,pin(X3)),on(large,pin(X2))))
| ~ fits(small,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_63]),c_0_18])]) ).
cnf(c_0_70,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_53,c_0_11]) ).
cnf(c_0_71,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_64,c_0_65]),c_0_14])]) ).
cnf(c_0_72,plain,
( nextto(on(small,pin(X1)),nextto(X2,on(medium,X3))) = nextto(pin(X1),nextto(X2,on(small,on(medium,X3))))
| ~ fits(small,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_50]) ).
cnf(c_0_73,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_60,c_0_66]),c_0_66]) ).
cnf(c_0_74,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_67,c_0_66]),c_0_21])]) ).
cnf(c_0_75,plain,
( nextto(on(medium,pin(X1)),nextto(X2,X3)) = nextto(pin(X1),nextto(X3,on(medium,X2)))
| ~ fits(medium,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_36]) ).
cnf(c_0_76,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_68,c_0_69]),c_0_14]),c_0_21])]) ).
cnf(c_0_77,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_70,c_0_71]) ).
cnf(c_0_78,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_25,c_0_72]),c_0_14]),c_0_14])]) ).
cnf(c_0_79,axiom,
state(nextto(on(small,on(medium,on(large,pin(n1)))),nextto(pin(n2),pin(n3)))),
initial_state ).
cnf(c_0_80,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_73,c_0_74]),c_0_74]) ).
cnf(c_0_81,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_75,c_0_76]),c_0_77]),c_0_74]),c_0_78]),c_0_17])]) ).
cnf(c_0_82,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_79,c_0_11]),c_0_12]) ).
cnf(c_0_83,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_80,c_0_81]),c_0_81]) ).
cnf(c_0_84,negated_conjecture,
~ state(nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))))),
final_state ).
cnf(c_0_85,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83]),c_0_19]),c_0_84]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ056-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.16/0.34 % Computer : n012.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 22:50:10 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 109.86/109.85 % Version : CSE_E---1.5
% 109.86/109.85 % Problem : theBenchmark.p
% 109.86/109.85 % Proof found
% 109.86/109.85 % SZS status Theorem for theBenchmark.p
% 109.86/109.85 % SZS output start Proof
% See solution above
% 109.86/109.86 % Total time : 109.280000 s
% 109.86/109.86 % SZS output end Proof
% 109.86/109.86 % Total time : 109.287000 s
%------------------------------------------------------------------------------