TSTP Solution File: SWV181+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWV181+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 : Wed Jul 20 21:16:04 EDT 2022
% Result : Theorem 208.57s 209.05s
% Output : Refutation 208.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV181+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Wed Jun 15 08:04:14 EDT 2022
% 0.14/0.37 % CPUTime :
% 208.57/209.05 # Version: 1.3
% 208.57/209.05 # SZS status Theorem
% 208.57/209.05 # SZS output start CNFRefutation
% 208.57/209.05 fof(irreflexivity_gt,axiom,(![X]:(~gt(X,X))),input).
% 208.57/209.05 fof(c467,axiom,(![X]:~gt(X,X)),inference(fof_simplification,status(thm),[irreflexivity_gt])).
% 208.57/209.05 fof(c468,axiom,(![X181]:~gt(X181,X181)),inference(variable_rename,status(thm),[c467])).
% 208.57/209.05 cnf(c469,axiom,~gt(X189,X189),inference(split_conjunct,status(thm),[c468])).
% 208.57/209.05 fof(leq_succ_gt,axiom,(![X]:(![Y]:(leq(succ(X),Y)=>gt(Y,X)))),input).
% 208.57/209.05 fof(c124,axiom,(![X]:(![Y]:(~leq(succ(X),Y)|gt(Y,X)))),inference(fof_nnf,status(thm),[leq_succ_gt])).
% 208.57/209.05 fof(c125,axiom,(![X49]:(![X50]:(~leq(succ(X49),X50)|gt(X50,X49)))),inference(variable_rename,status(thm),[c124])).
% 208.57/209.05 cnf(c126,axiom,~leq(succ(X347),X348)|gt(X348,X347),inference(split_conjunct,status(thm),[c125])).
% 208.57/209.05 fof(cl5_nebula_init_0081,conjecture,((((((((leq(tptp_float_0_001,pv76)&leq(n1,loopcounter))>(n1,loopcounter))&(![A]:((leq(n0,A)&leq(A,n135299))=>(![B]:((leq(n0,B)&leq(B,n4))=>a_select3(q_init,A,B)=init)))))&(![C]:((leq(n0,C)&leq(C,n4))=>a_select3(center_init,C,n0)=init)))&(gt(loopcounter,n0)=>(![D]:((leq(n0,D)&leq(D,n4))=>a_select2(mu_init,D)=init))))&(gt(loopcounter,n0)=>(![E]:((leq(n0,E)&leq(E,n4))=>a_select2(rho_init,E)=init))))&(gt(loopcounter,n0)=>(![F]:((leq(n0,F)&leq(F,n4))=>a_select2(sigma_init,F)=init))))=>(![G]:((leq(n0,G)&leq(G,n4))=>a_select2(muold_init,G)=init))),input).
% 208.57/209.05 fof(c73,negated_conjecture,(~((((((((leq(tptp_float_0_001,pv76)&leq(n1,loopcounter))>(n1,loopcounter))&(![A]:((leq(n0,A)&leq(A,n135299))=>(![B]:((leq(n0,B)&leq(B,n4))=>a_select3(q_init,A,B)=init)))))&(![C]:((leq(n0,C)&leq(C,n4))=>a_select3(center_init,C,n0)=init)))&(gt(loopcounter,n0)=>(![D]:((leq(n0,D)&leq(D,n4))=>a_select2(mu_init,D)=init))))&(gt(loopcounter,n0)=>(![E]:((leq(n0,E)&leq(E,n4))=>a_select2(rho_init,E)=init))))&(gt(loopcounter,n0)=>(![F]:((leq(n0,F)&leq(F,n4))=>a_select2(sigma_init,F)=init))))=>(![G]:((leq(n0,G)&leq(G,n4))=>a_select2(muold_init,G)=init)))),inference(assume_negation,status(cth),[cl5_nebula_init_0081])).
% 208.57/209.05 fof(c74,negated_conjecture,((((((((leq(tptp_float_0_001,pv76)&leq(n1,loopcounter))>(n1,loopcounter))&(![A]:((~leq(n0,A)|~leq(A,n135299))|(![B]:((~leq(n0,B)|~leq(B,n4))|a_select3(q_init,A,B)=init)))))&(![C]:((~leq(n0,C)|~leq(C,n4))|a_select3(center_init,C,n0)=init)))&(~gt(loopcounter,n0)|(![D]:((~leq(n0,D)|~leq(D,n4))|a_select2(mu_init,D)=init))))&(~gt(loopcounter,n0)|(![E]:((~leq(n0,E)|~leq(E,n4))|a_select2(rho_init,E)=init))))&(~gt(loopcounter,n0)|(![F]:((~leq(n0,F)|~leq(F,n4))|a_select2(sigma_init,F)=init))))&(?[G]:((leq(n0,G)&leq(G,n4))&a_select2(muold_init,G)!=init))),inference(fof_nnf,status(thm),[c73])).
% 208.57/209.05 fof(c75,negated_conjecture,((((((((leq(tptp_float_0_001,pv76)&leq(n1,loopcounter))>(n1,loopcounter))&(![X8]:((~leq(n0,X8)|~leq(X8,n135299))|(![X9]:((~leq(n0,X9)|~leq(X9,n4))|a_select3(q_init,X8,X9)=init)))))&(![X10]:((~leq(n0,X10)|~leq(X10,n4))|a_select3(center_init,X10,n0)=init)))&(~gt(loopcounter,n0)|(![X11]:((~leq(n0,X11)|~leq(X11,n4))|a_select2(mu_init,X11)=init))))&(~gt(loopcounter,n0)|(![X12]:((~leq(n0,X12)|~leq(X12,n4))|a_select2(rho_init,X12)=init))))&(~gt(loopcounter,n0)|(![X13]:((~leq(n0,X13)|~leq(X13,n4))|a_select2(sigma_init,X13)=init))))&(?[X14]:((leq(n0,X14)&leq(X14,n4))&a_select2(muold_init,X14)!=init))),inference(variable_rename,status(thm),[c74])).
% 208.57/209.05 fof(c77,negated_conjecture,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:((((((((leq(tptp_float_0_001,pv76)&leq(n1,loopcounter))>(n1,loopcounter))&((~leq(n0,X8)|~leq(X8,n135299))|((~leq(n0,X9)|~leq(X9,n4))|a_select3(q_init,X8,X9)=init)))&((~leq(n0,X10)|~leq(X10,n4))|a_select3(center_init,X10,n0)=init))&(~gt(loopcounter,n0)|((~leq(n0,X11)|~leq(X11,n4))|a_select2(mu_init,X11)=init)))&(~gt(loopcounter,n0)|((~leq(n0,X12)|~leq(X12,n4))|a_select2(rho_init,X12)=init)))&(~gt(loopcounter,n0)|((~leq(n0,X13)|~leq(X13,n4))|a_select2(sigma_init,X13)=init)))&((leq(n0,skolem0001)&leq(skolem0001,n4))&a_select2(muold_init,skolem0001)!=init)))))))),inference(shift_quantors,status(thm),[fof(c76,negated_conjecture,((((((((leq(tptp_float_0_001,pv76)&leq(n1,loopcounter))>(n1,loopcounter))&(![X8]:((~leq(n0,X8)|~leq(X8,n135299))|(![X9]:((~leq(n0,X9)|~leq(X9,n4))|a_select3(q_init,X8,X9)=init)))))&(![X10]:((~leq(n0,X10)|~leq(X10,n4))|a_select3(center_init,X10,n0)=init)))&(~gt(loopcounter,n0)|(![X11]:((~leq(n0,X11)|~leq(X11,n4))|a_select2(mu_init,X11)=init))))&(~gt(loopcounter,n0)|(![X12]:((~leq(n0,X12)|~leq(X12,n4))|a_select2(rho_init,X12)=init))))&(~gt(loopcounter,n0)|(![X13]:((~leq(n0,X13)|~leq(X13,n4))|a_select2(sigma_init,X13)=init))))&((leq(n0,skolem0001)&leq(skolem0001,n4))&a_select2(muold_init,skolem0001)!=init)),inference(skolemize,status(esa),[c75])).])).
% 208.57/209.05 cnf(c79,negated_conjecture,leq(n1,loopcounter),inference(split_conjunct,status(thm),[c77])).
% 208.57/209.05 fof(transitivity_leq,axiom,(![X]:(![Y]:(![Z]:((leq(X,Y)&leq(Y,Z))=>leq(X,Z))))),input).
% 208.57/209.05 fof(c462,axiom,(![X]:(![Y]:(![Z]:((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))))),inference(fof_nnf,status(thm),[transitivity_leq])).
% 208.57/209.05 fof(c463,axiom,(![X177]:(![X178]:(![X179]:((~leq(X177,X178)|~leq(X178,X179))|leq(X177,X179))))),inference(variable_rename,status(thm),[c462])).
% 208.57/209.05 cnf(c464,axiom,~leq(X2185,X2184)|~leq(X2184,X2183)|leq(X2185,X2183),inference(split_conjunct,status(thm),[c463])).
% 208.57/209.05 cnf(c35474,plain,~leq(X2481,n1)|leq(X2481,loopcounter),inference(resolution,status(thm),[c464, c79])).
% 208.57/209.05 cnf(symmetry,axiom,X190!=X191|X191=X190,eq_axiom).
% 208.57/209.05 fof(successor_1,axiom,succ(n0)=n1,input).
% 208.57/209.05 cnf(c24,axiom,succ(n0)=n1,inference(split_conjunct,status(thm),[successor_1])).
% 208.57/209.05 cnf(c489,plain,n1=succ(n0),inference(resolution,status(thm),[c24, symmetry])).
% 208.57/209.05 cnf(reflexivity,axiom,X187=X187,eq_axiom).
% 208.57/209.05 fof(reflexivity_leq,axiom,(![X]:leq(X,X)),input).
% 208.57/209.05 fof(c465,axiom,(![X180]:leq(X180,X180)),inference(variable_rename,status(thm),[reflexivity_leq])).
% 208.57/209.05 cnf(c466,axiom,leq(X188,X188),inference(split_conjunct,status(thm),[c465])).
% 208.57/209.05 cnf(c19,plain,X292!=X290|X291!=X289|~leq(X292,X291)|leq(X290,X289),eq_axiom).
% 208.57/209.05 cnf(c727,plain,X2750!=X2749|X2750!=X2748|leq(X2749,X2748),inference(resolution,status(thm),[c19, c466])).
% 208.57/209.05 cnf(c52545,plain,X2752!=X2751|leq(X2751,X2752),inference(resolution,status(thm),[c727, reflexivity])).
% 208.57/209.05 cnf(c52571,plain,leq(succ(n0),n1),inference(resolution,status(thm),[c52545, c489])).
% 208.57/209.05 cnf(c53068,plain,leq(succ(n0),loopcounter),inference(resolution,status(thm),[c52571, c35474])).
% 208.57/209.05 fof(leq_succ_gt_equiv,axiom,(![X]:(![Y]:(leq(X,Y)<=>gt(succ(Y),X)))),input).
% 208.57/209.05 fof(c427,axiom,(![X]:(![Y]:((~leq(X,Y)|gt(succ(Y),X))&(~gt(succ(Y),X)|leq(X,Y))))),inference(fof_nnf,status(thm),[leq_succ_gt_equiv])).
% 208.57/209.05 fof(c428,axiom,((![X]:(![Y]:(~leq(X,Y)|gt(succ(Y),X))))&(![X]:(![Y]:(~gt(succ(Y),X)|leq(X,Y))))),inference(shift_quantors,status(thm),[c427])).
% 208.57/209.05 fof(c430,axiom,(![X154]:(![X155]:(![X156]:(![X157]:((~leq(X154,X155)|gt(succ(X155),X154))&(~gt(succ(X157),X156)|leq(X156,X157))))))),inference(shift_quantors,status(thm),[fof(c429,axiom,((![X154]:(![X155]:(~leq(X154,X155)|gt(succ(X155),X154))))&(![X156]:(![X157]:(~gt(succ(X157),X156)|leq(X156,X157))))),inference(variable_rename,status(thm),[c428])).])).
% 208.57/209.05 cnf(c432,axiom,~gt(succ(X648),X647)|leq(X647,X648),inference(split_conjunct,status(thm),[c430])).
% 208.57/209.05 cnf(c80,negated_conjecture,gt(n1,loopcounter),inference(split_conjunct,status(thm),[c77])).
% 208.57/209.05 cnf(c18,plain,X288!=X286|X287!=X285|~gt(X288,X287)|gt(X286,X285),eq_axiom).
% 208.57/209.05 cnf(c690,plain,n1!=X2634|loopcounter!=X2633|gt(X2634,X2633),inference(resolution,status(thm),[c18, c80])).
% 208.57/209.05 cnf(c48599,plain,n1!=X3282|gt(X3282,loopcounter),inference(resolution,status(thm),[c690, reflexivity])).
% 208.57/209.05 cnf(c78334,plain,gt(succ(n0),loopcounter),inference(resolution,status(thm),[c48599, c489])).
% 208.57/209.05 cnf(c78341,plain,leq(loopcounter,n0),inference(resolution,status(thm),[c78334, c432])).
% 208.57/209.05 cnf(c78370,plain,~leq(X4557,loopcounter)|leq(X4557,n0),inference(resolution,status(thm),[c78341, c464])).
% 208.57/209.05 cnf(c142369,plain,leq(succ(n0),n0),inference(resolution,status(thm),[c78370, c53068])).
% 208.57/209.05 cnf(c142818,plain,gt(n0,n0),inference(resolution,status(thm),[c142369, c126])).
% 208.57/209.05 cnf(c142957,plain,$false,inference(resolution,status(thm),[c142818, c469])).
% 208.57/209.05 # SZS output end CNFRefutation
% 208.57/209.05
% 208.57/209.05 # Initial clauses : 330
% 208.57/209.05 # Processed clauses : 3058
% 208.57/209.05 # Factors computed : 1
% 208.57/209.05 # Resolvents computed: 142482
% 208.57/209.05 # Tautologies deleted: 2
% 208.57/209.05 # Forward subsumed : 2773
% 208.57/209.05 # Backward subsumed : 3
% 208.57/209.05 # -------- CPU Time ---------
% 208.57/209.05 # User time : 207.885 s
% 208.57/209.05 # System time : 0.528 s
% 208.57/209.05 # Total time : 208.413 s
%------------------------------------------------------------------------------