TSTP Solution File: SWV196+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV196+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n008.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 21:16:07 EDT 2022

% Result   : Theorem 101.07s 101.25s
% Output   : Refutation 101.07s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV196+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 11:45:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 101.07/101.25  # Version:  1.3
% 101.07/101.25  # SZS status Theorem
% 101.07/101.25  # SZS output start CNFRefutation
% 101.07/101.25  fof(irreflexivity_gt,axiom,(![X]:(~gt(X,X))),input).
% 101.07/101.25  fof(c497,axiom,(![X]:~gt(X,X)),inference(fof_simplification,status(thm),[irreflexivity_gt])).
% 101.07/101.25  fof(c498,axiom,(![X180]:~gt(X180,X180)),inference(variable_rename,status(thm),[c497])).
% 101.07/101.25  cnf(c499,axiom,~gt(X188,X188),inference(split_conjunct,status(thm),[c498])).
% 101.07/101.25  fof(quaternion_ds1_inuse_0007,conjecture,(((((((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&leq(n0,pv5))&leq(pv5,n0))&leq(pv5,n998))>(pv5,n0))&(![A]:(![B]:((((leq(n0,A)&leq(n0,B))&leq(A,n2))&leq(B,pred(pv5)))=>a_select3(u_defuse,A,B)=use))))&(![C]:(![D]:((((leq(n0,C)&leq(n0,D))&leq(C,n2))&leq(D,pred(pv5)))=>a_select3(z_defuse,C,D)=use))))=>(![E]:(![F]:((((leq(n0,E)&leq(n0,F))&leq(E,n2))&leq(F,pv5))=>((((~(n0=E&pv5=F))&(~(n1=E&pv5=F)))&(~(n2=E&pv5=F)))=>a_select3(z_defuse,E,F)=use))))),input).
% 101.07/101.25  fof(c73,negated_conjecture,(~(((((((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&leq(n0,pv5))&leq(pv5,n0))&leq(pv5,n998))>(pv5,n0))&(![A]:(![B]:((((leq(n0,A)&leq(n0,B))&leq(A,n2))&leq(B,pred(pv5)))=>a_select3(u_defuse,A,B)=use))))&(![C]:(![D]:((((leq(n0,C)&leq(n0,D))&leq(C,n2))&leq(D,pred(pv5)))=>a_select3(z_defuse,C,D)=use))))=>(![E]:(![F]:((((leq(n0,E)&leq(n0,F))&leq(E,n2))&leq(F,pv5))=>((((~(n0=E&pv5=F))&(~(n1=E&pv5=F)))&(~(n2=E&pv5=F)))=>a_select3(z_defuse,E,F)=use)))))),inference(assume_negation,status(cth),[quaternion_ds1_inuse_0007])).
% 101.07/101.25  fof(c74,negated_conjecture,(((((((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&leq(n0,pv5))&leq(pv5,n0))&leq(pv5,n998))>(pv5,n0))&(![A]:(![B]:((((~leq(n0,A)|~leq(n0,B))|~leq(A,n2))|~leq(B,pred(pv5)))|a_select3(u_defuse,A,B)=use))))&(![C]:(![D]:((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,pred(pv5)))|a_select3(z_defuse,C,D)=use))))&(?[E]:(?[F]:((((leq(n0,E)&leq(n0,F))&leq(E,n2))&leq(F,pv5))&((((n0!=E|pv5!=F)&(n1!=E|pv5!=F))&(n2!=E|pv5!=F))&a_select3(z_defuse,E,F)!=use))))),inference(fof_nnf,status(thm),[c73])).
% 101.07/101.25  fof(c75,negated_conjecture,(((((((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&leq(n0,pv5))&leq(pv5,n0))&leq(pv5,n998))>(pv5,n0))&(![X8]:(![X9]:((((~leq(n0,X8)|~leq(n0,X9))|~leq(X8,n2))|~leq(X9,pred(pv5)))|a_select3(u_defuse,X8,X9)=use))))&(![X10]:(![X11]:((((~leq(n0,X10)|~leq(n0,X11))|~leq(X10,n2))|~leq(X11,pred(pv5)))|a_select3(z_defuse,X10,X11)=use))))&(?[X12]:(?[X13]:((((leq(n0,X12)&leq(n0,X13))&leq(X12,n2))&leq(X13,pv5))&((((n0!=X12|pv5!=X13)&(n1!=X12|pv5!=X13))&(n2!=X12|pv5!=X13))&a_select3(z_defuse,X12,X13)!=use))))),inference(variable_rename,status(thm),[c74])).
% 101.07/101.25  fof(c77,negated_conjecture,(![X8]:(![X9]:(![X10]:(![X11]:(((((((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&leq(n0,pv5))&leq(pv5,n0))&leq(pv5,n998))>(pv5,n0))&((((~leq(n0,X8)|~leq(n0,X9))|~leq(X8,n2))|~leq(X9,pred(pv5)))|a_select3(u_defuse,X8,X9)=use))&((((~leq(n0,X10)|~leq(n0,X11))|~leq(X10,n2))|~leq(X11,pred(pv5)))|a_select3(z_defuse,X10,X11)=use))&((((leq(n0,skolem0001)&leq(n0,skolem0002))&leq(skolem0001,n2))&leq(skolem0002,pv5))&((((n0!=skolem0001|pv5!=skolem0002)&(n1!=skolem0001|pv5!=skolem0002))&(n2!=skolem0001|pv5!=skolem0002))&a_select3(z_defuse,skolem0001,skolem0002)!=use))))))),inference(shift_quantors,status(thm),[fof(c76,negated_conjecture,(((((((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&leq(n0,pv5))&leq(pv5,n0))&leq(pv5,n998))>(pv5,n0))&(![X8]:(![X9]:((((~leq(n0,X8)|~leq(n0,X9))|~leq(X8,n2))|~leq(X9,pred(pv5)))|a_select3(u_defuse,X8,X9)=use))))&(![X10]:(![X11]:((((~leq(n0,X10)|~leq(n0,X11))|~leq(X10,n2))|~leq(X11,pred(pv5)))|a_select3(z_defuse,X10,X11)=use))))&((((leq(n0,skolem0001)&leq(n0,skolem0002))&leq(skolem0001,n2))&leq(skolem0002,pv5))&((((n0!=skolem0001|pv5!=skolem0002)&(n1!=skolem0001|pv5!=skolem0002))&(n2!=skolem0001|pv5!=skolem0002))&a_select3(z_defuse,skolem0001,skolem0002)!=use))),inference(skolemize,status(esa),[c75])).])).
% 101.07/101.25  cnf(c105,negated_conjecture,leq(n0,pv5),inference(split_conjunct,status(thm),[c77])).
% 101.07/101.25  cnf(c106,negated_conjecture,leq(pv5,n0),inference(split_conjunct,status(thm),[c77])).
% 101.07/101.25  fof(finite_domain_0,axiom,(![X]:((leq(n0,X)&leq(X,n0))=>X=n0)),input).
% 101.07/101.25  fof(c36,axiom,(![X]:((~leq(n0,X)|~leq(X,n0))|X=n0)),inference(fof_nnf,status(thm),[finite_domain_0])).
% 101.07/101.25  fof(c37,axiom,(![X5]:((~leq(n0,X5)|~leq(X5,n0))|X5=n0)),inference(variable_rename,status(thm),[c36])).
% 101.07/101.25  cnf(c38,axiom,~leq(n0,X308)|~leq(X308,n0)|X308=n0,inference(split_conjunct,status(thm),[c37])).
% 101.07/101.25  cnf(c945,plain,~leq(n0,pv5)|pv5=n0,inference(resolution,status(thm),[c38, c106])).
% 101.07/101.25  cnf(c80341,plain,pv5=n0,inference(resolution,status(thm),[c945, c105])).
% 101.07/101.25  cnf(reflexivity,axiom,X186=X186,eq_axiom).
% 101.07/101.25  cnf(c108,negated_conjecture,gt(pv5,n0),inference(split_conjunct,status(thm),[c77])).
% 101.07/101.25  cnf(c18,plain,X285!=X284|X286!=X283|~gt(X285,X286)|gt(X284,X283),eq_axiom).
% 101.07/101.25  cnf(c702,plain,pv5!=X2564|n0!=X2565|gt(X2564,X2565),inference(resolution,status(thm),[c18, c108])).
% 101.07/101.25  cnf(c51535,plain,pv5!=X3517|gt(X3517,n0),inference(resolution,status(thm),[c702, reflexivity])).
% 101.07/101.25  cnf(c99891,plain,gt(n0,n0),inference(resolution,status(thm),[c51535, c80341])).
% 101.07/101.25  cnf(c100037,plain,$false,inference(resolution,status(thm),[c99891, c499])).
% 101.07/101.25  # SZS output end CNFRefutation
% 101.07/101.25  
% 101.07/101.25  # Initial clauses    : 360
% 101.07/101.25  # Processed clauses  : 2187
% 101.07/101.25  # Factors computed   : 1
% 101.07/101.25  # Resolvents computed: 99539
% 101.07/101.25  # Tautologies deleted: 2
% 101.07/101.25  # Forward subsumed   : 1982
% 101.07/101.25  # Backward subsumed  : 4
% 101.07/101.25  # -------- CPU Time ---------
% 101.07/101.25  # User time          : 100.570 s
% 101.07/101.25  # System time        : 0.347 s
% 101.07/101.25  # Total time         : 100.917 s
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