TSTP Solution File: SYN039-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 08:58:47 EDT 2022
% Result : Unsatisfiable 0.61s 0.82s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 10
% Syntax : Number of clauses : 75 ( 7 unt; 43 nHn; 15 RR)
% Number of literals : 200 ( 0 equ; 70 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 320 ( 82 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_2,negated_conjecture,
( p(f1(X,X1),f1(X,X1))
| ~ s(X,f1(X,X1))
| q(f1(X,X1),Z1) ) ).
cnf(c_3,negated_conjecture,
( p(f1(X,X1),f1(X,X1))
| ~ s(X,f1(X,X1))
| ~ s(X1,X1) ) ).
cnf(c_5,negated_conjecture,
( p(f1(X,X1),f1(X,X1))
| s(f1(X,X1),Z)
| q(f1(X,X1),Z1) ) ).
cnf(c_12,negated_conjecture,
( ~ p(X,X)
| ~ s(X,f1(X,X1))
| ~ s(X1,X1) ) ).
cnf(c_14,negated_conjecture,
( ~ p(X,X)
| s(f1(X,X1),Z)
| q(f1(X,X1),Z1) ) ).
cnf(c_15,negated_conjecture,
( ~ p(X,X)
| s(f1(X,X1),Z)
| ~ s(X1,X1) ) ).
cnf(c_16,negated_conjecture,
( ~ p(X,X)
| ~ q(Z1,Z1)
| ~ q(X1,f1(X,X1)) ) ).
cnf(c_21,negated_conjecture,
( s(Z,X)
| ~ s(X,f1(X,X1))
| ~ s(X1,X1) ) ).
cnf(c_25,negated_conjecture,
( s(Z,X)
| ~ q(Z1,Z1)
| ~ q(X1,f1(X,X1)) ) ).
cnf(c_27,negated_conjecture,
( s(Z,X)
| ~ q(Z1,Z1)
| ~ s(X1,X1) ) ).
cnf(refute_0_0,plain,
( ~ p(f1(X_485,X_486),f1(X_485,X_486))
| q(f1(f1(X_485,X_486),X1),Z1)
| s(f1(f1(X_485,X_486),X1),Z) ),
inference(subst,[],[c_14:[bind(X,$fot(f1(X_485,X_486)))]]) ).
cnf(refute_0_1,plain,
( ~ s(X1,X1)
| ~ s(f1(X_168,X_169),f1(f1(X_168,X_169),X1))
| p(f1(f1(X_168,X_169),X1),f1(f1(X_168,X_169),X1)) ),
inference(subst,[],[c_3:[bind(X,$fot(f1(X_168,X_169)))]]) ).
cnf(refute_0_2,plain,
( p(f1(X,X1),f1(X,X1))
| q(f1(X,X1),f1(X,X1))
| s(f1(X,X1),Z) ),
inference(subst,[],[c_5:[bind(Z1,$fot(f1(X,X1)))]]) ).
cnf(refute_0_3,plain,
( ~ q(Z1,Z1)
| ~ q(f1(X_87,X_88),f1(X,f1(X_87,X_88)))
| s(Z,X) ),
inference(subst,[],[c_25:[bind(X1,$fot(f1(X_87,X_88)))]]) ).
cnf(refute_0_4,plain,
( p(f1(X_87,X_88),f1(X_87,X_88))
| q(f1(X_87,X_88),f1(X,f1(X_87,X_88)))
| s(f1(X_87,X_88),X_89) ),
inference(subst,[],[c_5:[bind(X,$fot(X_87)),bind(X1,$fot(X_88)),bind(Z,$fot(X_89)),bind(Z1,$fot(f1(X,f1(X_87,X_88))))]]) ).
cnf(refute_0_5,plain,
( ~ q(Z1,Z1)
| p(f1(X_87,X_88),f1(X_87,X_88))
| s(Z,X)
| s(f1(X_87,X_88),X_89) ),
inference(resolve,[$cnf( q(f1(X_87,X_88),f1(X,f1(X_87,X_88))) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ q(f1(X,X1),f1(X,X1))
| p(f1(X_165,X_166),f1(X_165,X_166))
| s(X_163,X_162)
| s(f1(X_165,X_166),X_167) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_162)),bind(Z,$fot(X_163)),bind(Z1,$fot(f1(X,X1))),bind(X_87,$fot(X_165)),bind(X_88,$fot(X_166)),bind(X_89,$fot(X_167))]]) ).
cnf(refute_0_7,plain,
( p(f1(X,X1),f1(X,X1))
| p(f1(X_165,X_166),f1(X_165,X_166))
| s(X_163,X_162)
| s(f1(X,X1),Z)
| s(f1(X_165,X_166),X_167) ),
inference(resolve,[$cnf( q(f1(X,X1),f1(X,X1)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( p(f1(X_168,X_169),f1(X_168,X_169))
| s(f1(X_168,X_169),f1(f1(X_168,X_169),X1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_168)),bind(X1,$fot(X_169)),bind(Z,$fot(f1(f1(X_168,X_169),X1))),bind(X_162,$fot(f1(f1(X_168,X_169),X1))),bind(X_163,$fot(f1(X_168,X_169))),bind(X_165,$fot(X_168)),bind(X_166,$fot(X_169)),bind(X_167,$fot(f1(f1(X_168,X_169),X1)))]]) ).
cnf(refute_0_9,plain,
( ~ s(X1,X1)
| p(f1(X_168,X_169),f1(X_168,X_169))
| p(f1(f1(X_168,X_169),X1),f1(f1(X_168,X_169),X1)) ),
inference(resolve,[$cnf( s(f1(X_168,X_169),f1(f1(X_168,X_169),X1)) )],[refute_0_8,refute_0_1]) ).
cnf(refute_0_10,plain,
( ~ s(X_334,X_334)
| p(f1(X_168,X_169),f1(X_168,X_169))
| p(f1(f1(X_168,X_169),X_334),f1(f1(X_168,X_169),X_334)) ),
inference(subst,[],[refute_0_9:[bind(X1,$fot(X_334))]]) ).
cnf(refute_0_11,plain,
( ~ q(Z1,Z1)
| ~ s(f1(X_168,X_169),f1(X_168,X_169))
| s(Z,X) ),
inference(subst,[],[c_27:[bind(X1,$fot(f1(X_168,X_169)))]]) ).
cnf(refute_0_12,plain,
( p(f1(X_168,X_169),f1(X_168,X_169))
| s(f1(X_168,X_169),f1(X_168,X_169)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_168)),bind(X1,$fot(X_169)),bind(Z,$fot(f1(X_168,X_169))),bind(X_162,$fot(f1(X_168,X_169))),bind(X_163,$fot(f1(X_168,X_169))),bind(X_165,$fot(X_168)),bind(X_166,$fot(X_169)),bind(X_167,$fot(f1(X_168,X_169)))]]) ).
cnf(refute_0_13,plain,
( ~ q(Z1,Z1)
| p(f1(X_168,X_169),f1(X_168,X_169))
| s(Z,X) ),
inference(resolve,[$cnf( s(f1(X_168,X_169),f1(X_168,X_169)) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
( ~ q(f1(f1(X_332,X_333),X_330),f1(f1(X_332,X_333),X_330))
| p(f1(X_168,X_169),f1(X_168,X_169))
| s(Z,X) ),
inference(subst,[],[refute_0_13:[bind(Z1,$fot(f1(f1(X_332,X_333),X_330)))]]) ).
cnf(refute_0_15,plain,
( ~ s(f1(X_168,X_169),f1(f1(X_168,X_169),X1))
| p(f1(f1(X_168,X_169),X1),f1(f1(X_168,X_169),X1))
| q(f1(f1(X_168,X_169),X1),Z1) ),
inference(subst,[],[c_2:[bind(X,$fot(f1(X_168,X_169)))]]) ).
cnf(refute_0_16,plain,
( p(f1(X_168,X_169),f1(X_168,X_169))
| p(f1(f1(X_168,X_169),X1),f1(f1(X_168,X_169),X1))
| q(f1(f1(X_168,X_169),X1),Z1) ),
inference(resolve,[$cnf( s(f1(X_168,X_169),f1(f1(X_168,X_169),X1)) )],[refute_0_8,refute_0_15]) ).
cnf(refute_0_17,plain,
( p(f1(X_332,X_333),f1(X_332,X_333))
| p(f1(f1(X_332,X_333),X_330),f1(f1(X_332,X_333),X_330))
| q(f1(f1(X_332,X_333),X_330),f1(f1(X_332,X_333),X_330)) ),
inference(subst,[],[refute_0_16:[bind(X1,$fot(X_330)),bind(Z1,$fot(f1(f1(X_332,X_333),X_330))),bind(X_168,$fot(X_332)),bind(X_169,$fot(X_333))]]) ).
cnf(refute_0_18,plain,
( p(f1(X_168,X_169),f1(X_168,X_169))
| p(f1(X_332,X_333),f1(X_332,X_333))
| p(f1(f1(X_332,X_333),X_330),f1(f1(X_332,X_333),X_330))
| s(Z,X) ),
inference(resolve,[$cnf( q(f1(f1(X_332,X_333),X_330),f1(f1(X_332,X_333),X_330)) )],[refute_0_17,refute_0_14]) ).
cnf(refute_0_19,plain,
( p(f1(X_337,X_338),f1(X_337,X_338))
| p(f1(f1(X_337,X_338),X_336),f1(f1(X_337,X_338),X_336))
| s(X_334,X_334) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(X_334)),bind(Z,$fot(X_334)),bind(X_168,$fot(f1(X_337,X_338))),bind(X_169,$fot(X_336)),bind(X_330,$fot(X_336)),bind(X_332,$fot(X_337)),bind(X_333,$fot(X_338))]]) ).
cnf(refute_0_20,plain,
( p(f1(X_168,X_169),f1(X_168,X_169))
| p(f1(X_337,X_338),f1(X_337,X_338))
| p(f1(f1(X_168,X_169),X_334),f1(f1(X_168,X_169),X_334))
| p(f1(f1(X_337,X_338),X_336),f1(f1(X_337,X_338),X_336)) ),
inference(resolve,[$cnf( s(X_334,X_334) )],[refute_0_19,refute_0_10]) ).
cnf(refute_0_21,plain,
( p(f1(X_337,X_338),f1(X_337,X_338))
| p(f1(f1(X_337,X_338),X_484),f1(f1(X_337,X_338),X_484)) ),
inference(subst,[],[refute_0_20:[bind(X_168,$fot(X_337)),bind(X_169,$fot(X_338)),bind(X_334,$fot(X_484)),bind(X_336,$fot(X_484))]]) ).
cnf(refute_0_22,plain,
( ~ p(X,X)
| ~ s(X,f1(X,f1(X_168,X_169)))
| ~ s(f1(X_168,X_169),f1(X_168,X_169)) ),
inference(subst,[],[c_12:[bind(X1,$fot(f1(X_168,X_169)))]]) ).
cnf(refute_0_23,plain,
( ~ p(X,X)
| ~ s(X,f1(X,f1(X_168,X_169)))
| p(f1(X_168,X_169),f1(X_168,X_169)) ),
inference(resolve,[$cnf( s(f1(X_168,X_169),f1(X_168,X_169)) )],[refute_0_12,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ p(f1(X_464,X_465),f1(X_464,X_465))
| ~ s(f1(X_464,X_465),f1(f1(X_464,X_465),f1(X_462,X_463)))
| p(f1(X_462,X_463),f1(X_462,X_463)) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(f1(X_464,X_465))),bind(X_168,$fot(X_462)),bind(X_169,$fot(X_463))]]) ).
cnf(refute_0_25,plain,
( ~ s(X,f1(X,f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222))))
| ~ s(f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222)),f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222)))
| s(Z,X) ),
inference(subst,[],[c_21:[bind(X1,$fot(f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222))))]]) ).
cnf(refute_0_26,plain,
( p(f1(X_165,X_166),f1(X_165,X_166))
| s(f1(X_165,X_166),f1(X_165,X_166)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_165)),bind(X1,$fot(X_166)),bind(Z,$fot(f1(X_165,X_166))),bind(X_162,$fot(f1(X_165,X_166))),bind(X_163,$fot(f1(X_165,X_166))),bind(X_167,$fot(f1(X_165,X_166)))]]) ).
cnf(refute_0_27,plain,
( ~ s(f1(X_165,X_166),f1(X_165,X_166))
| p(f1(X_210,X_211),f1(X_210,X_211))
| p(f1(f1(X_210,X_211),f1(X_165,X_166)),f1(f1(X_210,X_211),f1(X_165,X_166))) ),
inference(subst,[],[refute_0_9:[bind(X1,$fot(f1(X_165,X_166))),bind(X_168,$fot(X_210)),bind(X_169,$fot(X_211))]]) ).
cnf(refute_0_28,plain,
( p(f1(X_165,X_166),f1(X_165,X_166))
| p(f1(X_210,X_211),f1(X_210,X_211))
| p(f1(f1(X_210,X_211),f1(X_165,X_166)),f1(f1(X_210,X_211),f1(X_165,X_166))) ),
inference(resolve,[$cnf( s(f1(X_165,X_166),f1(X_165,X_166)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ p(X,X)
| ~ s(f1(X_168,X_169),f1(X_168,X_169))
| s(f1(X,f1(X_168,X_169)),Z) ),
inference(subst,[],[c_15:[bind(X1,$fot(f1(X_168,X_169)))]]) ).
cnf(refute_0_30,plain,
( ~ p(X,X)
| p(f1(X_168,X_169),f1(X_168,X_169))
| s(f1(X,f1(X_168,X_169)),Z) ),
inference(resolve,[$cnf( s(f1(X_168,X_169),f1(X_168,X_169)) )],[refute_0_12,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ p(f1(f1(X_210,X_211),f1(X_165,X_166)),f1(f1(X_210,X_211),f1(X_165,X_166)))
| p(f1(X_218,X_219),f1(X_218,X_219))
| s(f1(f1(f1(X_210,X_211),f1(X_165,X_166)),f1(X_218,X_219)),X_217) ),
inference(subst,[],[refute_0_30:[bind(X,$fot(f1(f1(X_210,X_211),f1(X_165,X_166)))),bind(Z,$fot(X_217)),bind(X_168,$fot(X_218)),bind(X_169,$fot(X_219))]]) ).
cnf(refute_0_32,plain,
( p(f1(X_165,X_166),f1(X_165,X_166))
| p(f1(X_210,X_211),f1(X_210,X_211))
| p(f1(X_218,X_219),f1(X_218,X_219))
| s(f1(f1(f1(X_210,X_211),f1(X_165,X_166)),f1(X_218,X_219)),X_217) ),
inference(resolve,[$cnf( p(f1(f1(X_210,X_211),f1(X_165,X_166)),f1(f1(X_210,X_211),f1(X_165,X_166))) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
( p(f1(X_221,X_222),f1(X_221,X_222))
| s(f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222)),f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222))) ),
inference(subst,[],[refute_0_32:[bind(X_165,$fot(X_221)),bind(X_166,$fot(X_222)),bind(X_210,$fot(X_221)),bind(X_211,$fot(X_222)),bind(X_217,$fot(f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222)))),bind(X_218,$fot(X_221)),bind(X_219,$fot(X_222))]]) ).
cnf(refute_0_34,plain,
( ~ s(X,f1(X,f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222))))
| p(f1(X_221,X_222),f1(X_221,X_222))
| s(Z,X) ),
inference(resolve,[$cnf( s(f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222)),f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222))) )],[refute_0_33,refute_0_25]) ).
cnf(refute_0_35,plain,
( ~ s(f1(f1(X_459,X_460),f1(X_456,X_457)),f1(f1(f1(X_459,X_460),f1(X_456,X_457)),f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222))))
| p(f1(X_221,X_222),f1(X_221,X_222))
| s(Z,f1(f1(X_459,X_460),f1(X_456,X_457))) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(f1(f1(X_459,X_460),f1(X_456,X_457))))]]) ).
cnf(refute_0_36,plain,
( ~ p(f1(X_168,X_169),f1(X_168,X_169))
| ~ s(X1,X1)
| s(f1(f1(X_168,X_169),X1),Z) ),
inference(subst,[],[c_15:[bind(X,$fot(f1(X_168,X_169)))]]) ).
cnf(refute_0_37,plain,
( p(f1(X_168,X_169),f1(X_168,X_169))
| s(f1(X_168,X_169),X_170) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_168)),bind(X1,$fot(X_169)),bind(Z,$fot(X_170)),bind(X_162,$fot(X_170)),bind(X_163,$fot(f1(X_168,X_169))),bind(X_165,$fot(X_168)),bind(X_166,$fot(X_169)),bind(X_167,$fot(X_170))]]) ).
cnf(refute_0_38,plain,
( ~ s(X1,X1)
| s(f1(X_168,X_169),X_170)
| s(f1(f1(X_168,X_169),X1),Z) ),
inference(resolve,[$cnf( p(f1(X_168,X_169),f1(X_168,X_169)) )],[refute_0_37,refute_0_36]) ).
cnf(refute_0_39,plain,
( ~ s(f1(X_165,X_166),f1(X_165,X_166))
| s(f1(X_206,X_207),X_208)
| s(f1(f1(X_206,X_207),f1(X_165,X_166)),X_205) ),
inference(subst,[],[refute_0_38:[bind(X1,$fot(f1(X_165,X_166))),bind(Z,$fot(X_205)),bind(X_168,$fot(X_206)),bind(X_169,$fot(X_207)),bind(X_170,$fot(X_208))]]) ).
cnf(refute_0_40,plain,
( p(f1(X_165,X_166),f1(X_165,X_166))
| s(f1(X_206,X_207),X_208)
| s(f1(f1(X_206,X_207),f1(X_165,X_166)),X_205) ),
inference(resolve,[$cnf( s(f1(X_165,X_166),f1(X_165,X_166)) )],[refute_0_26,refute_0_39]) ).
cnf(refute_0_41,plain,
( p(f1(X_456,X_457),f1(X_456,X_457))
| s(f1(X_459,X_460),X_461)
| s(f1(f1(X_459,X_460),f1(X_456,X_457)),f1(f1(f1(X_459,X_460),f1(X_456,X_457)),f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222)))) ),
inference(subst,[],[refute_0_40:[bind(X_165,$fot(X_456)),bind(X_166,$fot(X_457)),bind(X_205,$fot(f1(f1(f1(X_459,X_460),f1(X_456,X_457)),f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222))))),bind(X_206,$fot(X_459)),bind(X_207,$fot(X_460)),bind(X_208,$fot(X_461))]]) ).
cnf(refute_0_42,plain,
( p(f1(X_221,X_222),f1(X_221,X_222))
| p(f1(X_456,X_457),f1(X_456,X_457))
| s(Z,f1(f1(X_459,X_460),f1(X_456,X_457)))
| s(f1(X_459,X_460),X_461) ),
inference(resolve,[$cnf( s(f1(f1(X_459,X_460),f1(X_456,X_457)),f1(f1(f1(X_459,X_460),f1(X_456,X_457)),f1(f1(f1(X_221,X_222),f1(X_221,X_222)),f1(X_221,X_222)))) )],[refute_0_41,refute_0_35]) ).
cnf(refute_0_43,plain,
( p(f1(X_462,X_463),f1(X_462,X_463))
| s(f1(X_464,X_465),f1(f1(X_464,X_465),f1(X_462,X_463))) ),
inference(subst,[],[refute_0_42:[bind(Z,$fot(f1(X_464,X_465))),bind(X_221,$fot(X_462)),bind(X_222,$fot(X_463)),bind(X_456,$fot(X_462)),bind(X_457,$fot(X_463)),bind(X_459,$fot(X_464)),bind(X_460,$fot(X_465)),bind(X_461,$fot(f1(f1(X_464,X_465),f1(X_462,X_463))))]]) ).
cnf(refute_0_44,plain,
( ~ p(f1(X_464,X_465),f1(X_464,X_465))
| p(f1(X_462,X_463),f1(X_462,X_463)) ),
inference(resolve,[$cnf( s(f1(X_464,X_465),f1(f1(X_464,X_465),f1(X_462,X_463))) )],[refute_0_43,refute_0_24]) ).
cnf(refute_0_45,plain,
( ~ p(f1(f1(X_337,X_338),X_484),f1(f1(X_337,X_338),X_484))
| p(f1(X_481,X_482),f1(X_481,X_482)) ),
inference(subst,[],[refute_0_44:[bind(X_462,$fot(X_481)),bind(X_463,$fot(X_482)),bind(X_464,$fot(f1(X_337,X_338))),bind(X_465,$fot(X_484))]]) ).
cnf(refute_0_46,plain,
( p(f1(X_337,X_338),f1(X_337,X_338))
| p(f1(X_481,X_482),f1(X_481,X_482)) ),
inference(resolve,[$cnf( p(f1(f1(X_337,X_338),X_484),f1(f1(X_337,X_338),X_484)) )],[refute_0_21,refute_0_45]) ).
cnf(refute_0_47,plain,
p(f1(X_485,X_486),f1(X_485,X_486)),
inference(subst,[],[refute_0_46:[bind(X_337,$fot(X_485)),bind(X_338,$fot(X_486)),bind(X_481,$fot(X_485)),bind(X_482,$fot(X_486))]]) ).
cnf(refute_0_48,plain,
( q(f1(f1(X_485,X_486),X1),Z1)
| s(f1(f1(X_485,X_486),X1),Z) ),
inference(resolve,[$cnf( p(f1(X_485,X_486),f1(X_485,X_486)) )],[refute_0_47,refute_0_0]) ).
cnf(refute_0_49,plain,
( q(f1(f1(X_485,X_486),X1),f1(f1(X_485,X_486),X1))
| s(f1(f1(X_485,X_486),X1),Z) ),
inference(subst,[],[refute_0_48:[bind(Z1,$fot(f1(f1(X_485,X_486),X1)))]]) ).
cnf(refute_0_50,plain,
( ~ p(f1(X_485,X_486),f1(X_485,X_486))
| ~ q(X1,f1(f1(X_485,X_486),X1))
| ~ q(Z1,Z1) ),
inference(subst,[],[c_16:[bind(X,$fot(f1(X_485,X_486)))]]) ).
cnf(refute_0_51,plain,
( ~ q(X1,f1(f1(X_485,X_486),X1))
| ~ q(Z1,Z1) ),
inference(resolve,[$cnf( p(f1(X_485,X_486),f1(X_485,X_486)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ q(Z1,Z1)
| ~ q(f1(f1(X_521,X_522),X_518),f1(f1(X_485,X_486),f1(f1(X_521,X_522),X_518))) ),
inference(subst,[],[refute_0_51:[bind(X1,$fot(f1(f1(X_521,X_522),X_518)))]]) ).
cnf(refute_0_53,plain,
( q(f1(f1(X_521,X_522),X_518),f1(f1(X_485,X_486),f1(f1(X_521,X_522),X_518)))
| s(f1(f1(X_521,X_522),X_518),X_519) ),
inference(subst,[],[refute_0_48:[bind(X1,$fot(X_518)),bind(Z,$fot(X_519)),bind(Z1,$fot(f1(f1(X_485,X_486),f1(f1(X_521,X_522),X_518)))),bind(X_485,$fot(X_521)),bind(X_486,$fot(X_522))]]) ).
cnf(refute_0_54,plain,
( ~ q(Z1,Z1)
| s(f1(f1(X_521,X_522),X_518),X_519) ),
inference(resolve,[$cnf( q(f1(f1(X_521,X_522),X_518),f1(f1(X_485,X_486),f1(f1(X_521,X_522),X_518))) )],[refute_0_53,refute_0_52]) ).
cnf(refute_0_55,plain,
( ~ q(f1(f1(X_485,X_486),X1),f1(f1(X_485,X_486),X1))
| s(f1(f1(X_529,X_530),X_527),X_528) ),
inference(subst,[],[refute_0_54:[bind(Z1,$fot(f1(f1(X_485,X_486),X1))),bind(X_518,$fot(X_527)),bind(X_519,$fot(X_528)),bind(X_521,$fot(X_529)),bind(X_522,$fot(X_530))]]) ).
cnf(refute_0_56,plain,
( s(f1(f1(X_485,X_486),X1),Z)
| s(f1(f1(X_529,X_530),X_527),X_528) ),
inference(resolve,[$cnf( q(f1(f1(X_485,X_486),X1),f1(f1(X_485,X_486),X1)) )],[refute_0_49,refute_0_55]) ).
cnf(refute_0_57,plain,
s(f1(f1(X_529,X_530),X_527),f1(f1(X_529,X_530),X_527)),
inference(subst,[],[refute_0_56:[bind(X1,$fot(X_527)),bind(Z,$fot(f1(f1(X_529,X_530),X_527))),bind(X_485,$fot(X_529)),bind(X_486,$fot(X_530)),bind(X_528,$fot(f1(f1(X_529,X_530),X_527)))]]) ).
cnf(refute_0_58,plain,
( ~ p(f1(f1(X_533,X_534),X_531),f1(f1(X_533,X_534),X_531))
| ~ s(X1,X1)
| ~ s(f1(f1(X_533,X_534),X_531),f1(f1(f1(X_533,X_534),X_531),X1)) ),
inference(subst,[],[c_12:[bind(X,$fot(f1(f1(X_533,X_534),X_531)))]]) ).
cnf(refute_0_59,plain,
s(f1(f1(X_533,X_534),X_531),f1(f1(f1(X_533,X_534),X_531),X1)),
inference(subst,[],[refute_0_56:[bind(X1,$fot(X_531)),bind(Z,$fot(f1(f1(f1(X_533,X_534),X_531),X1))),bind(X_485,$fot(X_533)),bind(X_486,$fot(X_534)),bind(X_527,$fot(X_531)),bind(X_528,$fot(f1(f1(f1(X_533,X_534),X_531),X1))),bind(X_529,$fot(X_533)),bind(X_530,$fot(X_534))]]) ).
cnf(refute_0_60,plain,
( ~ p(f1(f1(X_533,X_534),X_531),f1(f1(X_533,X_534),X_531))
| ~ s(X1,X1) ),
inference(resolve,[$cnf( s(f1(f1(X_533,X_534),X_531),f1(f1(f1(X_533,X_534),X_531),X1)) )],[refute_0_59,refute_0_58]) ).
cnf(refute_0_61,plain,
p(f1(f1(X_533,X_534),X_531),f1(f1(X_533,X_534),X_531)),
inference(subst,[],[refute_0_46:[bind(X_337,$fot(f1(X_533,X_534))),bind(X_338,$fot(X_531)),bind(X_481,$fot(f1(X_533,X_534))),bind(X_482,$fot(X_531))]]) ).
cnf(refute_0_62,plain,
~ s(X1,X1),
inference(resolve,[$cnf( p(f1(f1(X_533,X_534),X_531),f1(f1(X_533,X_534),X_531)) )],[refute_0_61,refute_0_60]) ).
cnf(refute_0_63,plain,
~ s(f1(f1(X_529,X_530),X_527),f1(f1(X_529,X_530),X_527)),
inference(subst,[],[refute_0_62:[bind(X1,$fot(f1(f1(X_529,X_530),X_527)))]]) ).
cnf(refute_0_64,plain,
$false,
inference(resolve,[$cnf( s(f1(f1(X_529,X_530),X_527),f1(f1(X_529,X_530),X_527)) )],[refute_0_57,refute_0_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 15:49:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.61/0.82 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.82
% 0.61/0.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.61/0.83
%------------------------------------------------------------------------------