TSTP Solution File: NUN066+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUN066+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %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 : 300s
% DateTime : Tue Apr 30 20:36:19 EDT 2024
% Result : Theorem 0.17s 0.62s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUN066+1 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 23:06:17 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.17/0.62 % Refutation found
% 0.17/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.62 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.62 fof(f1,axiom,(
% 0.17/0.62 (? [Y24] :(! [X19] :( ( id(X19,Y24)& r1(X19) )| ( ~ r1(X19)& ~ id(X19,Y24) ) ) ))),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f2,axiom,(
% 0.17/0.62 (! [X11] :(? [Y21] :(! [X12] :( ( id(X12,Y21)& r2(X11,X12) )| ( ~ r2(X11,X12)& ~ id(X12,Y21) ) ) )))),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f5,axiom,(
% 0.17/0.62 (! [X20] : id(X20,X20) )),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f6,axiom,(
% 0.17/0.62 (! [X21,X22] :( ~ id(X21,X22)| id(X22,X21) ) )),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f7,axiom,(
% 0.17/0.62 (! [X23,X24,X25] :( ~ id(X23,X24)| id(X23,X25)| ~ id(X24,X25) ) )),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f8,axiom,(
% 0.17/0.62 (! [X26,X27] :( ~ id(X26,X27)| ( ~ r1(X26)& ~ r1(X27) )| ( r1(X26)& r1(X27) ) ) )),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f13,axiom,(
% 0.17/0.62 (! [X2,X9] :(? [Y2] :( (? [Y3] :( id(Y3,Y2)& (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ) )))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f14,axiom,(
% 0.17/0.62 (! [X3,X10] :( (! [Y12] :( (! [Y13] :( ~ id(Y13,Y12)| ~ r2(X3,Y13) ))| ~ r2(X10,Y12) ))| id(X3,X10) ) )),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f16,axiom,(
% 0.17/0.62 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( id(Y8,Y18)& r1(Y18) ) )) ))),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f18,axiom,(
% 0.17/0.62 (! [X7,Y10] :( (! [Y20] :( ~ id(Y20,Y10)| ~ r1(Y20) ))| ~ r2(X7,Y10) ) )),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f19,conjecture,(
% 0.17/0.62 (? [Y1] :( (! [Y2] :( (! [Y3] :( (! [Y4] :( ~ r1(Y4)| ~ r2(Y4,Y3) ))| ~ r2(Y3,Y2) ))| ~ id(Y1,Y2) ))& (! [Y5] :( ~ id(Y1,Y5)| ~ r1(Y5) ) )) )),
% 0.17/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.62 fof(f20,negated_conjecture,(
% 0.17/0.62 ~((? [Y1] :( (! [Y2] :( (! [Y3] :( (! [Y4] :( ~ r1(Y4)| ~ r2(Y4,Y3) ))| ~ r2(Y3,Y2) ))| ~ id(Y1,Y2) ))& (! [Y5] :( ~ id(Y1,Y5)| ~ r1(Y5) ) )) ))),
% 0.17/0.63 inference(negated_conjecture,[status(cth)],[f19])).
% 0.17/0.63 fof(f21,plain,(
% 0.17/0.63 ![Y24,X19]: (pd0_0(X19,Y24)=>(id(X19,Y24)&r1(X19)))),
% 0.17/0.63 introduced(predicate_definition,[f1])).
% 0.17/0.63 fof(f22,plain,(
% 0.17/0.63 ?[Y24]: ![X19]: (pd0_0(X19,Y24)|(~r1(X19)&~id(X19,Y24)))),
% 0.17/0.63 inference(formula_renaming,[status(thm)],[f1,f21])).
% 0.17/0.63 fof(f23,plain,(
% 0.17/0.63 ![X19]: (pd0_0(X19,sk0_0)|(~r1(X19)&~id(X19,sk0_0)))),
% 0.17/0.63 inference(skolemization,[status(esa)],[f22])).
% 0.17/0.63 fof(f24,plain,(
% 0.17/0.63 ![X0]: (pd0_0(X0,sk0_0)|~r1(X0))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f23])).
% 0.17/0.63 fof(f26,plain,(
% 0.17/0.63 ![X11,Y21,X12]: (pd0_1(X12,Y21,X11)=>(id(X12,Y21)&r2(X11,X12)))),
% 0.17/0.63 introduced(predicate_definition,[f2])).
% 0.17/0.63 fof(f27,plain,(
% 0.17/0.63 ![X11]: ?[Y21]: ![X12]: (pd0_1(X12,Y21,X11)|(~r2(X11,X12)&~id(X12,Y21)))),
% 0.17/0.63 inference(formula_renaming,[status(thm)],[f2,f26])).
% 0.17/0.63 fof(f28,plain,(
% 0.17/0.63 ![X11]: ![X12]: (pd0_1(X12,sk0_1(X11),X11)|(~r2(X11,X12)&~id(X12,sk0_1(X11))))),
% 0.17/0.63 inference(skolemization,[status(esa)],[f27])).
% 0.17/0.63 fof(f29,plain,(
% 0.17/0.63 ![X0,X1]: (pd0_1(X0,sk0_1(X1),X1)|~r2(X1,X0))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f28])).
% 0.17/0.63 fof(f30,plain,(
% 0.17/0.63 ![X0,X1]: (pd0_1(X0,sk0_1(X1),X1)|~id(X0,sk0_1(X1)))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f28])).
% 0.17/0.63 fof(f41,plain,(
% 0.17/0.63 ![X0]: (id(X0,X0))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f5])).
% 0.17/0.63 fof(f42,plain,(
% 0.17/0.63 ![X0,X1]: (~id(X0,X1)|id(X1,X0))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f6])).
% 0.17/0.63 fof(f43,plain,(
% 0.17/0.63 ![X24,X25]: ((![X23]: (~id(X23,X24)|id(X23,X25)))|~id(X24,X25))),
% 0.17/0.63 inference(miniscoping,[status(esa)],[f7])).
% 0.17/0.63 fof(f44,plain,(
% 0.17/0.63 ![X0,X1,X2]: (~id(X0,X1)|id(X0,X2)|~id(X1,X2))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f43])).
% 0.17/0.63 fof(f45,plain,(
% 0.17/0.63 ![X26,X27]: (pd0_4(X27,X26)=>(~r1(X26)&~r1(X27)))),
% 0.17/0.63 introduced(predicate_definition,[f8])).
% 0.17/0.63 fof(f46,plain,(
% 0.17/0.63 ![X26,X27]: ((~id(X26,X27)|pd0_4(X27,X26))|(r1(X26)&r1(X27)))),
% 0.17/0.63 inference(formula_renaming,[status(thm)],[f8,f45])).
% 0.17/0.63 fof(f47,plain,(
% 0.17/0.63 ![X0,X1]: (~id(X0,X1)|pd0_4(X1,X0)|r1(X0))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f46])).
% 0.17/0.63 fof(f67,plain,(
% 0.17/0.63 ![X2,X9]: ((id(sk0_9(X9,X2),sk0_8(X9,X2))&(r2(X9,sk0_10(X9,X2))&r4(X2,sk0_10(X9,X2),sk0_9(X9,X2))))&(r3(sk0_11(X9,X2),X2,sk0_8(X9,X2))&r4(X2,X9,sk0_11(X9,X2))))),
% 0.17/0.63 inference(skolemization,[status(esa)],[f13])).
% 0.17/0.63 fof(f69,plain,(
% 0.17/0.63 ![X0,X1]: (r2(X0,sk0_10(X0,X1)))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f67])).
% 0.17/0.63 fof(f73,plain,(
% 0.17/0.63 ![X0,X1,X2,X3]: (~id(X0,X1)|~r2(X2,X0)|~r2(X3,X1)|id(X2,X3))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f14])).
% 0.17/0.63 fof(f78,plain,(
% 0.17/0.63 ![X5]: ((r1(sk0_15(X5))&r4(X5,sk0_15(X5),sk0_14(X5)))&(id(sk0_14(X5),sk0_16(X5))&r1(sk0_16(X5))))),
% 0.17/0.63 inference(skolemization,[status(esa)],[f16])).
% 0.17/0.63 fof(f81,plain,(
% 0.17/0.63 ![X0]: (id(sk0_14(X0),sk0_16(X0)))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f78])).
% 0.17/0.63 fof(f82,plain,(
% 0.17/0.63 ![X0]: (r1(sk0_16(X0)))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f78])).
% 0.17/0.63 fof(f89,plain,(
% 0.17/0.63 ![Y10]: ((![Y20]: (~id(Y20,Y10)|~r1(Y20)))|(![X7]: ~r2(X7,Y10)))),
% 0.17/0.63 inference(miniscoping,[status(esa)],[f18])).
% 0.17/0.63 fof(f90,plain,(
% 0.17/0.63 ![X0,X1,X2]: (~id(X0,X1)|~r1(X0)|~r2(X2,X1))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f89])).
% 0.17/0.63 fof(f91,plain,(
% 0.17/0.63 (![Y1]: ((?[Y2]: ((?[Y3]: ((?[Y4]: (r1(Y4)&r2(Y4,Y3)))&r2(Y3,Y2)))&id(Y1,Y2)))|(?[Y5]: (id(Y1,Y5)&r1(Y5)))))),
% 0.17/0.63 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.17/0.63 fof(f92,plain,(
% 0.17/0.63 ![Y1,Y2]: (pd0_9(Y2,Y1)=>((?[Y3]: ((?[Y4]: (r1(Y4)&r2(Y4,Y3)))&r2(Y3,Y2)))&id(Y1,Y2)))),
% 0.17/0.63 introduced(predicate_definition,[f91])).
% 0.17/0.63 fof(f93,plain,(
% 0.17/0.63 ![Y1]: ((?[Y2]: pd0_9(Y2,Y1))|(?[Y5]: (id(Y1,Y5)&r1(Y5))))),
% 0.17/0.63 inference(formula_renaming,[status(thm)],[f91,f92])).
% 0.17/0.63 fof(f94,plain,(
% 0.17/0.63 ![Y1]: (pd0_9(sk0_20(Y1),Y1)|(id(Y1,sk0_21(Y1))&r1(sk0_21(Y1))))),
% 0.17/0.63 inference(skolemization,[status(esa)],[f93])).
% 0.17/0.63 fof(f95,plain,(
% 0.17/0.63 ![X0]: (pd0_9(sk0_20(X0),X0)|id(X0,sk0_21(X0)))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f94])).
% 0.17/0.63 fof(f96,plain,(
% 0.17/0.63 ![X0]: (pd0_9(sk0_20(X0),X0)|r1(sk0_21(X0)))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f94])).
% 0.17/0.63 fof(f97,plain,(
% 0.17/0.63 ![Y24,X19]: (~pd0_0(X19,Y24)|(id(X19,Y24)&r1(X19)))),
% 0.17/0.63 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.17/0.63 fof(f98,plain,(
% 0.17/0.63 ![X0,X1]: (~pd0_0(X0,X1)|id(X0,X1))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f97])).
% 0.17/0.63 fof(f100,plain,(
% 0.17/0.63 ![X11,Y21,X12]: (~pd0_1(X12,Y21,X11)|(id(X12,Y21)&r2(X11,X12)))),
% 0.17/0.63 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.17/0.63 fof(f101,plain,(
% 0.17/0.63 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|id(X0,X1))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f100])).
% 0.17/0.63 fof(f102,plain,(
% 0.17/0.63 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|r2(X2,X0))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f100])).
% 0.17/0.63 fof(f109,plain,(
% 0.17/0.63 ![X26,X27]: (~pd0_4(X27,X26)|(~r1(X26)&~r1(X27)))),
% 0.17/0.63 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.17/0.63 fof(f111,plain,(
% 0.17/0.63 ![X0,X1]: (~pd0_4(X0,X1)|~r1(X0))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f109])).
% 0.17/0.63 fof(f124,plain,(
% 0.17/0.63 ![Y1,Y2]: (~pd0_9(Y2,Y1)|((?[Y3]: ((?[Y4]: (r1(Y4)&r2(Y4,Y3)))&r2(Y3,Y2)))&id(Y1,Y2)))),
% 0.17/0.63 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 0.17/0.63 fof(f125,plain,(
% 0.17/0.63 ![Y1,Y2]: (~pd0_9(Y2,Y1)|(((r1(sk0_23(Y2,Y1))&r2(sk0_23(Y2,Y1),sk0_22(Y2,Y1)))&r2(sk0_22(Y2,Y1),Y2))&id(Y1,Y2)))),
% 0.17/0.63 inference(skolemization,[status(esa)],[f124])).
% 0.17/0.63 fof(f127,plain,(
% 0.17/0.63 ![X0,X1]: (~pd0_9(X0,X1)|r2(sk0_23(X0,X1),sk0_22(X0,X1)))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f125])).
% 0.17/0.63 fof(f128,plain,(
% 0.17/0.63 ![X0,X1]: (~pd0_9(X0,X1)|r2(sk0_22(X0,X1),X0))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f125])).
% 0.17/0.63 fof(f129,plain,(
% 0.17/0.63 ![X0,X1]: (~pd0_9(X0,X1)|id(X1,X0))),
% 0.17/0.63 inference(cnf_transformation,[status(esa)],[f125])).
% 0.17/0.63 fof(f130,plain,(
% 0.17/0.63 ![X0]: (r1(sk0_21(X0))|id(X0,sk0_20(X0)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f96,f129])).
% 0.17/0.63 fof(f131,plain,(
% 0.17/0.63 ![X0]: (id(X0,sk0_21(X0))|id(X0,sk0_20(X0)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f95,f129])).
% 0.17/0.63 fof(f132,plain,(
% 0.17/0.63 ![X0]: (id(sk0_20(X0),X0)|r1(sk0_21(X0)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f42,f130])).
% 0.17/0.63 fof(f140,plain,(
% 0.17/0.63 ![X0,X1]: (id(X0,sk0_20(X0))|~id(X1,X0)|id(X1,sk0_21(X0)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f131,f44])).
% 0.17/0.63 fof(f152,plain,(
% 0.17/0.63 ![X0,X1,X2,X3]: (~id(X0,X1)|~r2(X2,X1)|id(sk0_22(X0,X3),X2)|~pd0_9(X0,X3))),
% 0.17/0.63 inference(resolution,[status(thm)],[f73,f128])).
% 0.17/0.63 fof(f158,plain,(
% 0.17/0.63 ![X0,X1,X2]: (~pd0_9(X0,X1)|~id(X2,sk0_22(X0,X1))|~r1(X2))),
% 0.17/0.63 inference(resolution,[status(thm)],[f127,f90])).
% 0.17/0.63 fof(f174,plain,(
% 0.17/0.63 ![X0,X1]: (~id(X0,sk0_14(X1))|id(X0,sk0_16(X1)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f81,f44])).
% 0.17/0.63 fof(f175,plain,(
% 0.17/0.63 ![X0]: (id(sk0_16(X0),sk0_14(X0)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f81,f42])).
% 0.17/0.63 fof(f176,plain,(
% 0.17/0.63 ![X0]: (id(X0,sk0_0)|~r1(X0))),
% 0.17/0.63 inference(resolution,[status(thm)],[f98,f24])).
% 0.17/0.63 fof(f333,plain,(
% 0.17/0.63 ![X0,X1]: (id(X0,sk0_20(X0))|~id(X1,X0)|id(sk0_21(X0),X1))),
% 0.17/0.63 inference(resolution,[status(thm)],[f140,f42])).
% 0.17/0.63 fof(f361,plain,(
% 0.17/0.63 ![X0,X1]: (~id(X0,sk0_16(X1))|id(X0,sk0_14(X1)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f175,f44])).
% 0.17/0.63 fof(f425,plain,(
% 0.17/0.63 ![X0]: (~r1(X0)|id(sk0_0,X0))),
% 0.17/0.63 inference(resolution,[status(thm)],[f176,f42])).
% 0.17/0.63 fof(f427,plain,(
% 0.17/0.63 ![X0]: (~r1(sk0_16(X0))|id(sk0_0,sk0_14(X0)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f425,f361])).
% 0.17/0.63 fof(f428,plain,(
% 0.17/0.63 ![X0]: (id(sk0_0,sk0_14(X0)))),
% 0.17/0.63 inference(forward_subsumption_resolution,[status(thm)],[f427,f82])).
% 0.17/0.63 fof(f448,plain,(
% 0.17/0.63 ![X0]: (id(sk0_0,sk0_16(X0)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f428,f174])).
% 0.17/0.63 fof(f452,plain,(
% 0.17/0.63 ![X0,X1]: (~id(X0,sk0_0)|id(X0,sk0_16(X1)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f448,f44])).
% 0.17/0.63 fof(f464,plain,(
% 0.17/0.63 ![X0,X1]: (id(X0,sk0_1(X1))|~r2(X1,X0))),
% 0.17/0.63 inference(resolution,[status(thm)],[f101,f29])).
% 0.17/0.63 fof(f465,plain,(
% 0.17/0.63 ![X0,X1]: (r2(X0,X1)|~id(X1,sk0_1(X0)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f102,f30])).
% 0.17/0.63 fof(f623,plain,(
% 0.17/0.63 ![X0,X1]: (~id(X0,sk0_0)|id(sk0_16(X1),X0))),
% 0.17/0.63 inference(resolution,[status(thm)],[f452,f42])).
% 0.17/0.63 fof(f649,plain,(
% 0.17/0.63 spl0_23 <=> ~r1(sk0_16(X0))),
% 0.17/0.63 introduced(split_symbol_definition)).
% 0.17/0.63 fof(f650,plain,(
% 0.17/0.63 ![X0]: (~r1(sk0_16(X0))|~spl0_23)),
% 0.17/0.63 inference(component_clause,[status(thm)],[f649])).
% 0.17/0.63 fof(f710,plain,(
% 0.17/0.63 spl0_27 <=> ~pd0_9(X0,X1)|~id(sk0_22(X0,X1),sk0_0)),
% 0.17/0.63 introduced(split_symbol_definition)).
% 0.17/0.63 fof(f711,plain,(
% 0.17/0.63 ![X0,X1]: (~pd0_9(X0,X1)|~id(sk0_22(X0,X1),sk0_0)|~spl0_27)),
% 0.17/0.63 inference(component_clause,[status(thm)],[f710])).
% 0.17/0.63 fof(f751,plain,(
% 0.17/0.63 ![X0,X1]: (~r2(X0,X1)|id(sk0_1(X0),X1))),
% 0.17/0.63 inference(resolution,[status(thm)],[f464,f42])).
% 0.17/0.63 fof(f765,plain,(
% 0.17/0.63 ![X0]: (r2(X0,sk0_1(X0)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f465,f41])).
% 0.17/0.63 fof(f770,plain,(
% 0.17/0.63 ![X0,X1]: (~id(X0,sk0_1(X1))|~r1(X0))),
% 0.17/0.63 inference(resolution,[status(thm)],[f765,f90])).
% 0.17/0.63 fof(f792,plain,(
% 0.17/0.63 ![X0,X1]: (~r1(sk0_21(X0))|id(X0,sk0_20(X0))|~id(sk0_1(X1),X0))),
% 0.17/0.63 inference(resolution,[status(thm)],[f770,f333])).
% 0.17/0.63 fof(f793,plain,(
% 0.17/0.63 ![X0,X1]: (id(X0,sk0_20(X0))|~id(sk0_1(X1),X0))),
% 0.17/0.63 inference(forward_subsumption_resolution,[status(thm)],[f792,f130])).
% 0.17/0.63 fof(f800,plain,(
% 0.17/0.63 ![X0,X1]: (~r1(X0)|~r2(X1,X0))),
% 0.17/0.63 inference(resolution,[status(thm)],[f770,f464])).
% 0.17/0.63 fof(f1210,plain,(
% 0.17/0.63 ![X0,X1,X2]: (~pd0_9(X0,X1)|~id(X0,X2)|~r2(sk0_0,X2)|~pd0_9(X0,X1)|~spl0_27)),
% 0.17/0.63 inference(resolution,[status(thm)],[f711,f152])).
% 0.17/0.63 fof(f1211,plain,(
% 0.17/0.63 ![X0,X1,X2]: (~pd0_9(X0,X1)|~id(X0,X2)|~r2(sk0_0,X2)|~spl0_27)),
% 0.17/0.63 inference(duplicate_literals_removal,[status(esa)],[f1210])).
% 0.17/0.63 fof(f1212,plain,(
% 0.17/0.63 ![X0,X1]: (~id(sk0_20(X0),X1)|~r2(sk0_0,X1)|r1(sk0_21(X0))|~spl0_27)),
% 0.17/0.63 inference(resolution,[status(thm)],[f1211,f96])).
% 0.17/0.63 fof(f1213,plain,(
% 0.17/0.63 ![X0,X1]: (~id(sk0_20(X0),X1)|~r2(sk0_0,X1)|id(X0,sk0_21(X0))|~spl0_27)),
% 0.17/0.63 inference(resolution,[status(thm)],[f1211,f95])).
% 0.17/0.63 fof(f1308,plain,(
% 0.17/0.63 ![X0]: (r1(sk0_21(X0))|~r2(sk0_0,X0)|r1(sk0_21(X0))|~spl0_27)),
% 0.17/0.63 inference(resolution,[status(thm)],[f132,f1212])).
% 0.17/0.63 fof(f1309,plain,(
% 0.17/0.63 ![X0]: (r1(sk0_21(X0))|~r2(sk0_0,X0)|~spl0_27)),
% 0.17/0.63 inference(duplicate_literals_removal,[status(esa)],[f1308])).
% 0.17/0.63 fof(f1331,plain,(
% 0.17/0.63 ![X0,X1]: (id(X0,sk0_20(X0))|~r2(X1,X0))),
% 0.17/0.63 inference(resolution,[status(thm)],[f793,f751])).
% 0.17/0.63 fof(f1382,plain,(
% 0.17/0.63 ![X0,X1]: (~r2(X0,X1)|id(sk0_20(X1),X1))),
% 0.17/0.63 inference(resolution,[status(thm)],[f1331,f42])).
% 0.17/0.63 fof(f1406,plain,(
% 0.17/0.63 ![X0,X1,X2]: (~id(sk0_22(X0,X1),sk0_0)|~pd0_9(X0,X1)|~r1(sk0_16(X2)))),
% 0.17/0.63 inference(resolution,[status(thm)],[f623,f158])).
% 0.17/0.63 fof(f1407,plain,(
% 0.17/0.63 spl0_27|spl0_23),
% 0.17/0.63 inference(split_clause,[status(thm)],[f1406,f710,f649])).
% 0.17/0.63 fof(f1424,plain,(
% 0.17/0.63 $false|~spl0_23),
% 0.17/0.63 inference(forward_subsumption_resolution,[status(thm)],[f650,f82])).
% 0.17/0.63 fof(f1425,plain,(
% 0.17/0.63 ~spl0_23),
% 0.17/0.63 inference(contradiction_clause,[status(thm)],[f1424])).
% 0.17/0.63 fof(f1638,plain,(
% 0.17/0.63 ![X0,X1]: (~r2(sk0_0,X0)|id(X0,sk0_21(X0))|~r2(X1,X0)|~spl0_27)),
% 0.17/0.63 inference(resolution,[status(thm)],[f1213,f1382])).
% 0.17/0.63 fof(f1680,plain,(
% 0.17/0.63 ![X0,X1]: (~r2(sk0_0,X0)|~r2(X1,X0)|pd0_4(sk0_21(X0),X0)|r1(X0)|~spl0_27)),
% 0.17/0.63 inference(resolution,[status(thm)],[f1638,f47])).
% 0.17/0.63 fof(f1681,plain,(
% 0.17/0.63 ![X0,X1]: (~r2(sk0_0,X0)|~r2(X1,X0)|pd0_4(sk0_21(X0),X0)|~spl0_27)),
% 0.17/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1680,f800])).
% 0.17/0.63 fof(f1688,plain,(
% 0.17/0.63 ![X0,X1]: (~r2(sk0_0,X0)|~r2(X1,X0)|~r1(sk0_21(X0))|~spl0_27)),
% 0.17/0.63 inference(resolution,[status(thm)],[f1681,f111])).
% 0.17/0.63 fof(f1689,plain,(
% 0.17/0.63 ![X0,X1]: (~r2(sk0_0,X0)|~r2(X1,X0)|~spl0_27)),
% 0.17/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1688,f1309])).
% 0.17/0.63 fof(f1692,plain,(
% 0.17/0.63 ![X0,X1]: (~r2(X0,sk0_10(sk0_0,X1))|~spl0_27)),
% 0.17/0.63 inference(resolution,[status(thm)],[f1689,f69])).
% 0.17/0.63 fof(f1695,plain,(
% 0.17/0.63 $false|~spl0_27),
% 0.17/0.63 inference(resolution,[status(thm)],[f1692,f69])).
% 0.17/0.63 fof(f1696,plain,(
% 0.17/0.63 ~spl0_27),
% 0.17/0.63 inference(contradiction_clause,[status(thm)],[f1695])).
% 0.17/0.63 fof(f1697,plain,(
% 0.17/0.63 $false),
% 0.17/0.63 inference(sat_refutation,[status(thm)],[f1407,f1425,f1696])).
% 0.17/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 2.23/0.64 % Elapsed time: 0.307627 seconds
% 2.23/0.64 % CPU time: 2.327881 seconds
% 2.23/0.64 % Total memory used: 32.742 MB
% 2.23/0.64 % Net memory used: 30.773 MB
%------------------------------------------------------------------------------