TSTP Solution File: SYN574-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN574-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 09:04:06 EDT 2022
% Result : Unsatisfiable 13.34s 13.57s
% Output : CNFRefutation 13.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of clauses : 59 ( 21 unt; 7 nHn; 47 RR)
% Number of literals : 133 ( 0 equ; 73 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 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 : 79 ( 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_7,negated_conjecture,
p3(f4(f5(X17)),f4(X17)) ).
cnf(p9_10,negated_conjecture,
( p9(X32,f4(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(p7_20,negated_conjecture,
( p7(f8(X24,X25),f8(X26,X27))
| ~ p2(X25,X27)
| ~ p3(X24,X26) ) ).
cnf(p9_21,negated_conjecture,
( p9(f8(X33,X34),X33)
| p9(f8(X33,X34),f4(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),f4(X34)) ) ).
cnf(refute_0_0,plain,
p2(f5(c14),f5(c14)),
inference(subst,[],[p2_4:[bind(X7,$fot(f5(c14)))]]) ).
cnf(refute_0_1,plain,
( ~ p11(X35,c15)
| ~ p2(f5(c14),f5(X35))
| ~ p9(c12,f4(f5(c14)))
| ~ p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))) ),
inference(subst,[],[not_p11_22:[bind(X33,$fot(f4(f5(c14)))),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(f4(f5(X17)),f4(X17))
| p3(f4(X17),f4(f5(X17))) ),
inference(subst,[],[refute_0_4:[bind(X_25,$fot(f4(X17))),bind(X_26,$fot(f4(f5(X17))))]]) ).
cnf(refute_0_6,plain,
p3(f4(X17),f4(f5(X17))),
inference(resolve,[$cnf( p3(f4(f5(X17)),f4(X17)) )],[p3_7,refute_0_5]) ).
cnf(refute_0_7,plain,
p2(X_229,X_229),
inference(subst,[],[p2_4:[bind(X7,$fot(X_229))]]) ).
cnf(refute_0_8,plain,
( ~ p2(X_229,X_229)
| ~ p3(X_226,X_228)
| p7(f8(X_226,X_229),f8(X_228,X_229)) ),
inference(subst,[],[p7_20:[bind(X24,$fot(X_226)),bind(X25,$fot(X_229)),bind(X26,$fot(X_228)),bind(X27,$fot(X_229))]]) ).
cnf(refute_0_9,plain,
( ~ p3(X_226,X_228)
| p7(f8(X_226,X_229),f8(X_228,X_229)) ),
inference(resolve,[$cnf( p2(X_229,X_229) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ p3(f4(X17),f4(f5(X17)))
| p7(f8(f4(X17),X_232),f8(f4(f5(X17)),X_232)) ),
inference(subst,[],[refute_0_9:[bind(X_226,$fot(f4(X17))),bind(X_228,$fot(f4(f5(X17)))),bind(X_229,$fot(X_232))]]) ).
cnf(refute_0_11,plain,
p7(f8(f4(X17),X_232),f8(f4(f5(X17)),X_232)),
inference(resolve,[$cnf( p3(f4(X17),f4(f5(X17))) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ p3(f4(X17),f4(f5(X17)))
| ~ p7(X_419,X_416)
| ~ p9(X_419,f4(X17))
| p9(X_416,f4(f5(X17))) ),
inference(subst,[],[p9_19:[bind(X28,$fot(X_416)),bind(X29,$fot(f4(f5(X17)))),bind(X30,$fot(f4(X17))),bind(X31,$fot(X_419))]]) ).
cnf(refute_0_13,plain,
( ~ p7(X_419,X_416)
| ~ p9(X_419,f4(X17))
| p9(X_416,f4(f5(X17))) ),
inference(resolve,[$cnf( p3(f4(X17),f4(f5(X17))) )],[refute_0_6,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ p7(f8(f4(X17),X_232),f8(f4(f5(X17)),X_232))
| ~ p9(f8(f4(X17),X_232),f4(X_1025))
| p9(f8(f4(f5(X17)),X_232),f4(f5(X_1025))) ),
inference(subst,[],[refute_0_13:[bind(X17,$fot(X_1025)),bind(X_416,$fot(f8(f4(f5(X17)),X_232))),bind(X_419,$fot(f8(f4(X17),X_232)))]]) ).
cnf(refute_0_15,plain,
( ~ p9(f8(f4(X17),X_232),f4(X_1025))
| p9(f8(f4(f5(X17)),X_232),f4(f5(X_1025))) ),
inference(resolve,[$cnf( p7(f8(f4(X17),X_232),f8(f4(f5(X17)),X_232)) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ p9(f8(f4(c14),f5(c14)),f4(c14))
| p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))) ),
inference(subst,[],[refute_0_15:[bind(X17,$fot(c14)),bind(X_1025,$fot(c14)),bind(X_232,$fot(f5(c14)))]]) ).
cnf(refute_0_17,plain,
p7(X_416,X_416),
inference(subst,[],[p7_2:[bind(X21,$fot(X_416))]]) ).
cnf(refute_0_18,plain,
( ~ p3(X_418,X_417)
| ~ p7(X_416,X_416)
| ~ p9(X_416,X_418)
| p9(X_416,X_417) ),
inference(subst,[],[p9_19:[bind(X28,$fot(X_416)),bind(X29,$fot(X_417)),bind(X30,$fot(X_418)),bind(X31,$fot(X_416))]]) ).
cnf(refute_0_19,plain,
( ~ p3(X_418,X_417)
| ~ p9(X_416,X_418)
| p9(X_416,X_417) ),
inference(resolve,[$cnf( p7(X_416,X_416) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ p3(f4(f5(X17)),f4(X17))
| ~ p9(X_589,f4(f5(X17)))
| p9(X_589,f4(X17)) ),
inference(subst,[],[refute_0_19:[bind(X_416,$fot(X_589)),bind(X_417,$fot(f4(X17))),bind(X_418,$fot(f4(f5(X17))))]]) ).
cnf(refute_0_21,plain,
( ~ p9(X_589,f4(f5(X17)))
| p9(X_589,f4(X17)) ),
inference(resolve,[$cnf( p3(f4(f5(X17)),f4(X17)) )],[p3_7,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ p9(f8(f4(c14),f5(c14)),f4(f5(c14)))
| p9(f8(f4(c14),f5(c14)),f4(c14)) ),
inference(subst,[],[refute_0_21:[bind(X17,$fot(c14)),bind(X_589,$fot(f8(f4(c14),f5(c14))))]]) ).
cnf(refute_0_23,plain,
( ~ p9(c12,c13)
| p9(c12,f4(c14)) ),
inference(subst,[],[p9_10:[bind(X32,$fot(c12))]]) ).
cnf(refute_0_24,plain,
p9(c12,f4(c14)),
inference(resolve,[$cnf( p9(c12,c13) )],[p9_5,refute_0_23]) ).
cnf(refute_0_25,plain,
p2(f5(X_1174),f5(X_1174)),
inference(subst,[],[p2_4:[bind(X7,$fot(f5(X_1174)))]]) ).
cnf(refute_0_26,plain,
( ~ p11(X_1174,c15)
| ~ p2(f5(X_1174),f5(X_1174))
| ~ p9(c12,X_1172)
| p9(f8(X_1172,f5(X_1174)),X_1172)
| p9(f8(X_1172,f5(X_1174)),f4(f5(X_1174))) ),
inference(subst,[],[p9_21:[bind(X33,$fot(X_1172)),bind(X34,$fot(f5(X_1174))),bind(X35,$fot(X_1174))]]) ).
cnf(refute_0_27,plain,
( ~ p11(X_1174,c15)
| ~ p9(c12,X_1172)
| p9(f8(X_1172,f5(X_1174)),X_1172)
| p9(f8(X_1172,f5(X_1174)),f4(f5(X_1174))) ),
inference(resolve,[$cnf( p2(f5(X_1174),f5(X_1174)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ p11(X_2528,c15)
| ~ p9(c12,f4(c14))
| p9(f8(f4(c14),f5(X_2528)),f4(c14))
| p9(f8(f4(c14),f5(X_2528)),f4(f5(X_2528))) ),
inference(subst,[],[refute_0_27:[bind(X_1172,$fot(f4(c14))),bind(X_1174,$fot(X_2528))]]) ).
cnf(refute_0_29,plain,
( ~ p11(X_2528,c15)
| p9(f8(f4(c14),f5(X_2528)),f4(c14))
| p9(f8(f4(c14),f5(X_2528)),f4(f5(X_2528))) ),
inference(resolve,[$cnf( p9(c12,f4(c14)) )],[refute_0_24,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ p11(c14,c15)
| p9(f8(f4(c14),f5(c14)),f4(c14))
| p9(f8(f4(c14),f5(c14)),f4(f5(c14))) ),
inference(subst,[],[refute_0_29:[bind(X_2528,$fot(c14))]]) ).
cnf(refute_0_31,plain,
( p9(f8(f4(c14),f5(c14)),f4(c14))
| p9(f8(f4(c14),f5(c14)),f4(f5(c14))) ),
inference(resolve,[$cnf( p11(c14,c15) )],[p11_6,refute_0_30]) ).
cnf(refute_0_32,plain,
p9(f8(f4(c14),f5(c14)),f4(c14)),
inference(resolve,[$cnf( p9(f8(f4(c14),f5(c14)),f4(f5(c14))) )],[refute_0_31,refute_0_22]) ).
cnf(refute_0_33,plain,
p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))),
inference(resolve,[$cnf( p9(f8(f4(c14),f5(c14)),f4(c14)) )],[refute_0_32,refute_0_16]) ).
cnf(refute_0_34,plain,
( ~ p11(X35,c15)
| ~ p2(f5(c14),f5(X35))
| ~ p9(c12,f4(f5(c14))) ),
inference(resolve,[$cnf( p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))) )],[refute_0_33,refute_0_1]) ).
cnf(refute_0_35,plain,
p7(c12,c12),
inference(subst,[],[p7_2:[bind(X21,$fot(c12))]]) ).
cnf(refute_0_36,plain,
p3(f4(c14),f4(f5(c14))),
inference(subst,[],[refute_0_6:[bind(X17,$fot(c14))]]) ).
cnf(refute_0_37,plain,
( ~ p3(f4(c14),X_417)
| ~ p7(c12,X_416)
| ~ p9(c12,f4(c14))
| p9(X_416,X_417) ),
inference(subst,[],[p9_19:[bind(X28,$fot(X_416)),bind(X29,$fot(X_417)),bind(X30,$fot(f4(c14))),bind(X31,$fot(c12))]]) ).
cnf(refute_0_38,plain,
( ~ p3(f4(c14),X_417)
| ~ p7(c12,X_416)
| p9(X_416,X_417) ),
inference(resolve,[$cnf( p9(c12,f4(c14)) )],[refute_0_24,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ p3(f4(c14),f4(f5(c14)))
| ~ p7(c12,X_434)
| p9(X_434,f4(f5(c14))) ),
inference(subst,[],[refute_0_38:[bind(X_416,$fot(X_434)),bind(X_417,$fot(f4(f5(c14))))]]) ).
cnf(refute_0_40,plain,
( ~ p7(c12,X_434)
| p9(X_434,f4(f5(c14))) ),
inference(resolve,[$cnf( p3(f4(c14),f4(f5(c14))) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ p7(c12,c12)
| p9(c12,f4(f5(c14))) ),
inference(subst,[],[refute_0_40:[bind(X_434,$fot(c12))]]) ).
cnf(refute_0_42,plain,
p9(c12,f4(f5(c14))),
inference(resolve,[$cnf( p7(c12,c12) )],[refute_0_35,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ p11(X35,c15)
| ~ p2(f5(c14),f5(X35)) ),
inference(resolve,[$cnf( p9(c12,f4(f5(c14))) )],[refute_0_42,refute_0_34]) ).
cnf(refute_0_44,plain,
( ~ p11(c14,c15)
| ~ p2(f5(c14),f5(c14)) ),
inference(subst,[],[refute_0_43:[bind(X35,$fot(c14))]]) ).
cnf(refute_0_45,plain,
~ p11(c14,c15),
inference(resolve,[$cnf( p2(f5(c14),f5(c14)) )],[refute_0_0,refute_0_44]) ).
cnf(refute_0_46,plain,
$false,
inference(resolve,[$cnf( p11(c14,c15) )],[p11_6,refute_0_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN574-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n027.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 17:13:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 13.34/13.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.34/13.57
% 13.34/13.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.42/13.58
%------------------------------------------------------------------------------