TSTP Solution File: SYN575-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 : 600s
% DateTime : Thu Jul 21 09:04:07 EDT 2022
% Result : Unsatisfiable 18.92s 19.07s
% Output : CNFRefutation 18.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of clauses : 47 ( 16 unt; 8 nHn; 39 RR)
% Number of literals : 108 ( 0 equ; 60 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
p7(X21,X21) ).
cnf(p3_3,negated_conjecture,
p3(X12,X12) ).
cnf(p2_4,negated_conjecture,
p2(X7,X7) ).
cnf(p9_5,negated_conjecture,
p9(c12,c13) ).
cnf(p11_6,negated_conjecture,
p11(c14,c15) ).
cnf(p3_8,negated_conjecture,
p3(f6(f5(X20)),f6(X20)) ).
cnf(p9_9,negated_conjecture,
( p9(X32,c13)
| ~ p9(X32,f6(c14)) ) ).
cnf(p9_10,negated_conjecture,
( p9(X32,f6(c14))
| ~ p9(X32,c13) ) ).
cnf(p3_16,negated_conjecture,
( p3(X13,X14)
| ~ p3(X12,X13)
| ~ p3(X12,X14) ) ).
cnf(p9_19,negated_conjecture,
( p9(X28,X29)
| ~ p7(X31,X28)
| ~ p9(X31,X30)
| ~ p3(X30,X29) ) ).
cnf(p9_21,negated_conjecture,
( p9(f8(X33,X34),X33)
| p9(f8(X33,X34),f6(X34))
| ~ p11(X35,c15)
| ~ p9(c12,X33)
| ~ p2(X34,f5(X35)) ) ).
cnf(not_p11_22,negated_conjecture,
( ~ p11(X35,c15)
| ~ p9(c12,X33)
| ~ p2(X34,f5(X35))
| ~ p9(f8(X33,X34),X33)
| ~ p9(f8(X33,X34),f6(X34)) ) ).
cnf(refute_0_0,plain,
p2(f5(c14),f5(c14)),
inference(subst,[],[p2_4:[bind(X7,$fot(f5(c14)))]]) ).
cnf(refute_0_1,plain,
( ~ p11(X35,c15)
| ~ p2(f5(c14),f5(X35))
| ~ p9(c12,c13)
| ~ p9(f8(c13,f5(c14)),c13)
| ~ p9(f8(c13,f5(c14)),f6(f5(c14))) ),
inference(subst,[],[not_p11_22:[bind(X33,$fot(c13)),bind(X34,$fot(f5(c14)))]]) ).
cnf(refute_0_2,plain,
p3(X_26,X_26),
inference(subst,[],[p3_3:[bind(X12,$fot(X_26))]]) ).
cnf(refute_0_3,plain,
( ~ p3(X_26,X_25)
| ~ p3(X_26,X_26)
| p3(X_25,X_26) ),
inference(subst,[],[p3_16:[bind(X12,$fot(X_26)),bind(X13,$fot(X_25)),bind(X14,$fot(X_26))]]) ).
cnf(refute_0_4,plain,
( ~ p3(X_26,X_25)
| p3(X_25,X_26) ),
inference(resolve,[$cnf( p3(X_26,X_26) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ p3(f6(f5(X20)),f6(X20))
| p3(f6(X20),f6(f5(X20))) ),
inference(subst,[],[refute_0_4:[bind(X_25,$fot(f6(X20))),bind(X_26,$fot(f6(f5(X20))))]]) ).
cnf(refute_0_6,plain,
p3(f6(X20),f6(f5(X20))),
inference(resolve,[$cnf( p3(f6(f5(X20)),f6(X20)) )],[p3_8,refute_0_5]) ).
cnf(refute_0_7,plain,
p7(X_420,X_420),
inference(subst,[],[p7_2:[bind(X21,$fot(X_420))]]) ).
cnf(refute_0_8,plain,
( ~ p3(X_422,X_421)
| ~ p7(X_420,X_420)
| ~ p9(X_420,X_422)
| p9(X_420,X_421) ),
inference(subst,[],[p9_19:[bind(X28,$fot(X_420)),bind(X29,$fot(X_421)),bind(X30,$fot(X_422)),bind(X31,$fot(X_420))]]) ).
cnf(refute_0_9,plain,
( ~ p3(X_422,X_421)
| ~ p9(X_420,X_422)
| p9(X_420,X_421) ),
inference(resolve,[$cnf( p7(X_420,X_420) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ p3(f6(X20),f6(f5(X20)))
| ~ p9(X_557,f6(X20))
| p9(X_557,f6(f5(X20))) ),
inference(subst,[],[refute_0_9:[bind(X_420,$fot(X_557)),bind(X_421,$fot(f6(f5(X20)))),bind(X_422,$fot(f6(X20)))]]) ).
cnf(refute_0_11,plain,
( ~ p9(X_557,f6(X20))
| p9(X_557,f6(f5(X20))) ),
inference(resolve,[$cnf( p3(f6(X20),f6(f5(X20))) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ p9(f8(c13,f5(c14)),f6(c14))
| p9(f8(c13,f5(c14)),f6(f5(c14))) ),
inference(subst,[],[refute_0_11:[bind(X20,$fot(c14)),bind(X_557,$fot(f8(c13,f5(c14))))]]) ).
cnf(refute_0_13,plain,
( ~ p9(f8(c13,f5(c14)),c13)
| p9(f8(c13,f5(c14)),f6(c14)) ),
inference(subst,[],[p9_10:[bind(X32,$fot(f8(c13,f5(c14))))]]) ).
cnf(refute_0_14,plain,
( ~ p9(f8(c13,f5(c14)),f6(c14))
| p9(f8(c13,f5(c14)),c13) ),
inference(subst,[],[p9_9:[bind(X32,$fot(f8(c13,f5(c14))))]]) ).
cnf(refute_0_15,plain,
( ~ p3(f6(f5(X20)),f6(X20))
| ~ p9(X_557,f6(f5(X20)))
| p9(X_557,f6(X20)) ),
inference(subst,[],[refute_0_9:[bind(X_420,$fot(X_557)),bind(X_421,$fot(f6(X20))),bind(X_422,$fot(f6(f5(X20))))]]) ).
cnf(refute_0_16,plain,
( ~ p9(X_557,f6(f5(X20)))
| p9(X_557,f6(X20)) ),
inference(resolve,[$cnf( p3(f6(f5(X20)),f6(X20)) )],[p3_8,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ p9(f8(c13,f5(c14)),f6(f5(c14)))
| p9(f8(c13,f5(c14)),f6(c14)) ),
inference(subst,[],[refute_0_16:[bind(X20,$fot(c14)),bind(X_557,$fot(f8(c13,f5(c14))))]]) ).
cnf(refute_0_18,plain,
p2(f5(X_1180),f5(X_1180)),
inference(subst,[],[p2_4:[bind(X7,$fot(f5(X_1180)))]]) ).
cnf(refute_0_19,plain,
( ~ p11(X_1180,c15)
| ~ p2(f5(X_1180),f5(X_1180))
| ~ p9(c12,X_1178)
| p9(f8(X_1178,f5(X_1180)),X_1178)
| p9(f8(X_1178,f5(X_1180)),f6(f5(X_1180))) ),
inference(subst,[],[p9_21:[bind(X33,$fot(X_1178)),bind(X34,$fot(f5(X_1180))),bind(X35,$fot(X_1180))]]) ).
cnf(refute_0_20,plain,
( ~ p11(X_1180,c15)
| ~ p9(c12,X_1178)
| p9(f8(X_1178,f5(X_1180)),X_1178)
| p9(f8(X_1178,f5(X_1180)),f6(f5(X_1180))) ),
inference(resolve,[$cnf( p2(f5(X_1180),f5(X_1180)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ p11(X_3033,c15)
| ~ p9(c12,c13)
| p9(f8(c13,f5(X_3033)),c13)
| p9(f8(c13,f5(X_3033)),f6(f5(X_3033))) ),
inference(subst,[],[refute_0_20:[bind(X_1178,$fot(c13)),bind(X_1180,$fot(X_3033))]]) ).
cnf(refute_0_22,plain,
( ~ p11(X_3033,c15)
| p9(f8(c13,f5(X_3033)),c13)
| p9(f8(c13,f5(X_3033)),f6(f5(X_3033))) ),
inference(resolve,[$cnf( p9(c12,c13) )],[p9_5,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ p11(c14,c15)
| p9(f8(c13,f5(c14)),c13)
| p9(f8(c13,f5(c14)),f6(f5(c14))) ),
inference(subst,[],[refute_0_22:[bind(X_3033,$fot(c14))]]) ).
cnf(refute_0_24,plain,
( p9(f8(c13,f5(c14)),c13)
| p9(f8(c13,f5(c14)),f6(f5(c14))) ),
inference(resolve,[$cnf( p11(c14,c15) )],[p11_6,refute_0_23]) ).
cnf(refute_0_25,plain,
( p9(f8(c13,f5(c14)),c13)
| p9(f8(c13,f5(c14)),f6(c14)) ),
inference(resolve,[$cnf( p9(f8(c13,f5(c14)),f6(f5(c14))) )],[refute_0_24,refute_0_17]) ).
cnf(refute_0_26,plain,
p9(f8(c13,f5(c14)),c13),
inference(resolve,[$cnf( p9(f8(c13,f5(c14)),f6(c14)) )],[refute_0_25,refute_0_14]) ).
cnf(refute_0_27,plain,
p9(f8(c13,f5(c14)),f6(c14)),
inference(resolve,[$cnf( p9(f8(c13,f5(c14)),c13) )],[refute_0_26,refute_0_13]) ).
cnf(refute_0_28,plain,
p9(f8(c13,f5(c14)),f6(f5(c14))),
inference(resolve,[$cnf( p9(f8(c13,f5(c14)),f6(c14)) )],[refute_0_27,refute_0_12]) ).
cnf(refute_0_29,plain,
( ~ p11(X35,c15)
| ~ p2(f5(c14),f5(X35))
| ~ p9(c12,c13)
| ~ p9(f8(c13,f5(c14)),c13) ),
inference(resolve,[$cnf( p9(f8(c13,f5(c14)),f6(f5(c14))) )],[refute_0_28,refute_0_1]) ).
cnf(refute_0_30,plain,
( ~ p11(X35,c15)
| ~ p2(f5(c14),f5(X35))
| ~ p9(f8(c13,f5(c14)),c13) ),
inference(resolve,[$cnf( p9(c12,c13) )],[p9_5,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ p11(X35,c15)
| ~ p2(f5(c14),f5(X35)) ),
inference(resolve,[$cnf( p9(f8(c13,f5(c14)),c13) )],[refute_0_26,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ p11(c14,c15)
| ~ p2(f5(c14),f5(c14)) ),
inference(subst,[],[refute_0_31:[bind(X35,$fot(c14))]]) ).
cnf(refute_0_33,plain,
~ p11(c14,c15),
inference(resolve,[$cnf( p2(f5(c14),f5(c14)) )],[refute_0_0,refute_0_32]) ).
cnf(refute_0_34,plain,
$false,
inference(resolve,[$cnf( p11(c14,c15) )],[p11_6,refute_0_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 23:15:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 18.92/19.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.92/19.07
% 18.92/19.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.92/19.08
%------------------------------------------------------------------------------