TSTP Solution File: SET962+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET962+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:40:48 EDT 2024
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET962+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 21:19:19 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f8,conjecture,(
% 0.12/0.38 (! [A,B] :( cartesian_product2(A,A) = cartesian_product2(B,B)=> A = B ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f9,negated_conjecture,(
% 0.12/0.38 ~((! [A,B] :( cartesian_product2(A,A) = cartesian_product2(B,B)=> A = B ) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f8])).
% 0.12/0.38 fof(f10,axiom,(
% 0.12/0.38 (! [A,B] :( (! [C] :( in(C,A)<=> in(C,B) ))=> A = B ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![A,B,C,D]: ((~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))&(in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 0.12/0.38 inference(NNF_transformation,[status(esa)],[f5])).
% 0.12/0.38 fof(f17,plain,(
% 0.12/0.38 (![A,B,C,D]: (~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D))))&(![A,B,C,D]: (in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 0.12/0.38 inference(miniscoping,[status(esa)],[f16])).
% 0.12/0.38 fof(f19,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|in(X1,X3))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|~in(X0,X2)|~in(X1,X3))),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.38 fof(f25,plain,(
% 0.12/0.38 (?[A,B]: (cartesian_product2(A,A)=cartesian_product2(B,B)&~A=B))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.12/0.38 fof(f26,plain,(
% 0.12/0.38 (cartesian_product2(sk0_2,sk0_2)=cartesian_product2(sk0_3,sk0_3)&~sk0_2=sk0_3)),
% 0.12/0.38 inference(skolemization,[status(esa)],[f25])).
% 0.12/0.38 fof(f27,plain,(
% 0.12/0.38 cartesian_product2(sk0_2,sk0_2)=cartesian_product2(sk0_3,sk0_3)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f26])).
% 0.12/0.38 fof(f28,plain,(
% 0.12/0.38 ~sk0_2=sk0_3),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f26])).
% 0.12/0.38 fof(f29,plain,(
% 0.12/0.38 ![A,B]: ((?[C]: (in(C,A)<~>in(C,B)))|A=B)),
% 0.12/0.38 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.12/0.38 fof(f30,plain,(
% 0.12/0.38 ![A,B]: ((?[C]: ((in(C,A)|in(C,B))&(~in(C,A)|~in(C,B))))|A=B)),
% 0.12/0.38 inference(NNF_transformation,[status(esa)],[f29])).
% 0.12/0.38 fof(f31,plain,(
% 0.12/0.38 ![A,B]: (((in(sk0_4(B,A),A)|in(sk0_4(B,A),B))&(~in(sk0_4(B,A),A)|~in(sk0_4(B,A),B)))|A=B)),
% 0.12/0.38 inference(skolemization,[status(esa)],[f30])).
% 0.12/0.38 fof(f32,plain,(
% 0.12/0.38 ![X0,X1]: (in(sk0_4(X0,X1),X1)|in(sk0_4(X0,X1),X0)|X1=X0)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f31])).
% 0.12/0.38 fof(f33,plain,(
% 0.12/0.38 ![X0,X1]: (~in(sk0_4(X0,X1),X1)|~in(sk0_4(X0,X1),X0)|X1=X0)),
% 0.12/0.38 inference(cnf_transformation,[status(esa)],[f31])).
% 0.12/0.38 fof(f35,plain,(
% 0.12/0.38 ![X0,X1]: (~in(ordered_pair(X0,X1),cartesian_product2(sk0_2,sk0_2))|in(X1,sk0_3))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f27,f19])).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 spl0_0 <=> ~in(X0,sk0_2)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f37,plain,(
% 0.12/0.38 ![X0]: (~in(X0,sk0_2)|~spl0_0)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f36])).
% 0.12/0.38 fof(f39,plain,(
% 0.12/0.38 spl0_1 <=> ~in(X1,sk0_2)|in(X1,sk0_3)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f40,plain,(
% 0.12/0.38 ![X0]: (~in(X0,sk0_2)|in(X0,sk0_3)|~spl0_1)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f39])).
% 0.12/0.38 fof(f42,plain,(
% 0.12/0.38 ![X0,X1]: (~in(X0,sk0_2)|~in(X1,sk0_2)|in(X1,sk0_3))),
% 0.12/0.38 inference(resolution,[status(thm)],[f20,f35])).
% 0.12/0.38 fof(f43,plain,(
% 0.12/0.38 spl0_0|spl0_1),
% 0.12/0.38 inference(split_clause,[status(thm)],[f42,f36,f39])).
% 0.12/0.38 fof(f46,plain,(
% 0.12/0.38 spl0_2 <=> ~in(X0,X1)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f47,plain,(
% 0.12/0.38 ![X0,X1]: (~in(X0,X1)|~spl0_2)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f46])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 spl0_3 <=> ~in(X2,X3)|in(X2,X3)),
% 0.12/0.38 introduced(split_symbol_definition)).
% 0.12/0.38 fof(f52,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~in(X0,X1)|~in(X2,X3)|in(X2,X3))),
% 0.12/0.38 inference(resolution,[status(thm)],[f20,f19])).
% 0.12/0.38 fof(f53,plain,(
% 0.12/0.38 spl0_2|spl0_3),
% 0.12/0.38 inference(split_clause,[status(thm)],[f52,f46,f49])).
% 0.12/0.38 fof(f56,plain,(
% 0.12/0.38 ![X0,X1]: (in(ordered_pair(X0,X1),cartesian_product2(sk0_2,sk0_2))|~in(X0,sk0_3)|~in(X1,sk0_3))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f27,f20])).
% 0.20/0.39 fof(f57,plain,(
% 0.20/0.39 spl0_4 <=> ~in(X0,sk0_3)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f58,plain,(
% 0.20/0.39 ![X0]: (~in(X0,sk0_3)|~spl0_4)),
% 0.20/0.39 inference(component_clause,[status(thm)],[f57])).
% 0.20/0.39 fof(f67,plain,(
% 0.20/0.39 spl0_6 <=> ~in(X1,sk0_3)|in(X1,sk0_2)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f68,plain,(
% 0.20/0.39 ![X0]: (~in(X0,sk0_3)|in(X0,sk0_2)|~spl0_6)),
% 0.20/0.39 inference(component_clause,[status(thm)],[f67])).
% 0.20/0.39 fof(f70,plain,(
% 0.20/0.39 ![X0,X1]: (~in(X0,sk0_3)|~in(X1,sk0_3)|in(X1,sk0_2))),
% 0.20/0.39 inference(resolution,[status(thm)],[f56,f19])).
% 0.20/0.39 fof(f71,plain,(
% 0.20/0.39 spl0_4|spl0_6),
% 0.20/0.39 inference(split_clause,[status(thm)],[f70,f57,f67])).
% 0.20/0.39 fof(f74,plain,(
% 0.20/0.39 ![X0,X1]: (~in(ordered_pair(X0,X1),cartesian_product2(sk0_2,sk0_2))|~spl0_4)),
% 0.20/0.39 inference(backward_subsumption_resolution,[status(thm)],[f35,f58])).
% 0.20/0.39 fof(f76,plain,(
% 0.20/0.39 ![X0,X1]: (~in(X0,sk0_2)|~in(X1,sk0_2)|~spl0_4)),
% 0.20/0.39 inference(resolution,[status(thm)],[f74,f20])).
% 0.20/0.39 fof(f77,plain,(
% 0.20/0.39 spl0_0|~spl0_4),
% 0.20/0.39 inference(split_clause,[status(thm)],[f76,f36,f57])).
% 0.20/0.39 fof(f110,plain,(
% 0.20/0.39 ![X0,X1]: (in(sk0_4(X0,X1),X0)|X1=X0|~spl0_2)),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f32,f47])).
% 0.20/0.39 fof(f111,plain,(
% 0.20/0.39 ![X0,X1]: (X0=X1|~spl0_2)),
% 0.20/0.39 inference(resolution,[status(thm)],[f110,f47])).
% 0.20/0.39 fof(f112,plain,(
% 0.20/0.39 $false|~spl0_2),
% 0.20/0.39 inference(backward_subsumption_resolution,[status(thm)],[f28,f111])).
% 0.20/0.39 fof(f113,plain,(
% 0.20/0.39 ~spl0_2),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f112])).
% 0.20/0.39 fof(f153,plain,(
% 0.20/0.39 ![X0]: (in(sk0_4(X0,sk0_2),X0)|sk0_2=X0|~spl0_0)),
% 0.20/0.39 inference(resolution,[status(thm)],[f32,f37])).
% 0.20/0.39 fof(f164,plain,(
% 0.20/0.39 sk0_2=sk0_3|~spl0_0|~spl0_4),
% 0.20/0.39 inference(resolution,[status(thm)],[f153,f58])).
% 0.20/0.39 fof(f165,plain,(
% 0.20/0.39 $false|~spl0_0|~spl0_4),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f164,f28])).
% 0.20/0.39 fof(f166,plain,(
% 0.20/0.39 ~spl0_0|~spl0_4),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f165])).
% 0.20/0.39 fof(f186,plain,(
% 0.20/0.39 ![X0]: (~in(X0,sk0_3)|~spl0_0|~spl0_6)),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f68,f37])).
% 0.20/0.39 fof(f192,plain,(
% 0.20/0.39 sk0_2=sk0_3|~spl0_0|~spl0_6),
% 0.20/0.39 inference(resolution,[status(thm)],[f153,f186])).
% 0.20/0.39 fof(f193,plain,(
% 0.20/0.39 $false|~spl0_0|~spl0_6),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f192,f28])).
% 0.20/0.39 fof(f194,plain,(
% 0.20/0.39 ~spl0_0|~spl0_6),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f193])).
% 0.20/0.39 fof(f195,plain,(
% 0.20/0.39 ![X0]: (in(sk0_4(X0,sk0_3),sk0_2)|in(sk0_4(X0,sk0_3),X0)|sk0_3=X0|~spl0_6)),
% 0.20/0.39 inference(resolution,[status(thm)],[f68,f32])).
% 0.20/0.39 fof(f196,plain,(
% 0.20/0.39 ![X0]: (~in(sk0_4(X0,sk0_3),sk0_2)|~in(sk0_4(X0,sk0_3),X0)|sk0_3=X0|~spl0_1)),
% 0.20/0.39 inference(resolution,[status(thm)],[f40,f33])).
% 0.20/0.39 fof(f208,plain,(
% 0.20/0.39 spl0_10 <=> sk0_3=sk0_2),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f209,plain,(
% 0.20/0.39 sk0_3=sk0_2|~spl0_10),
% 0.20/0.39 inference(component_clause,[status(thm)],[f208])).
% 0.20/0.39 fof(f214,plain,(
% 0.20/0.39 spl0_12 <=> in(sk0_4(sk0_2,sk0_3),sk0_2)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f215,plain,(
% 0.20/0.39 in(sk0_4(sk0_2,sk0_3),sk0_2)|~spl0_12),
% 0.20/0.39 inference(component_clause,[status(thm)],[f214])).
% 0.20/0.39 fof(f216,plain,(
% 0.20/0.39 ~in(sk0_4(sk0_2,sk0_3),sk0_2)|spl0_12),
% 0.20/0.39 inference(component_clause,[status(thm)],[f214])).
% 0.20/0.39 fof(f241,plain,(
% 0.20/0.39 in(sk0_4(sk0_2,sk0_3),sk0_2)|sk0_3=sk0_2|spl0_12|~spl0_6),
% 0.20/0.39 inference(resolution,[status(thm)],[f216,f195])).
% 0.20/0.39 fof(f242,plain,(
% 0.20/0.39 spl0_12|spl0_10|~spl0_6),
% 0.20/0.39 inference(split_clause,[status(thm)],[f241,f214,f208,f67])).
% 0.20/0.39 fof(f245,plain,(
% 0.20/0.39 $false|~spl0_10),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f209,f28])).
% 0.20/0.39 fof(f246,plain,(
% 0.20/0.39 ~spl0_10),
% 0.20/0.39 inference(contradiction_clause,[status(thm)],[f245])).
% 0.20/0.39 fof(f256,plain,(
% 0.20/0.39 ~in(sk0_4(sk0_2,sk0_3),sk0_2)|sk0_3=sk0_2|~spl0_12|~spl0_1),
% 0.20/0.39 inference(resolution,[status(thm)],[f215,f196])).
% 0.20/0.39 fof(f257,plain,(
% 0.20/0.39 ~spl0_12|spl0_10|~spl0_1),
% 0.20/0.39 inference(split_clause,[status(thm)],[f256,f214,f208,f39])).
% 0.20/0.39 fof(f258,plain,(
% 0.20/0.39 $false),
% 0.20/0.39 inference(sat_refutation,[status(thm)],[f43,f53,f71,f77,f113,f166,f194,f242,f246,f257])).
% 0.20/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.39 % Elapsed time: 0.041897 seconds
% 0.20/0.39 % CPU time: 0.214701 seconds
% 0.20/0.39 % Total memory used: 44.812 MB
% 0.20/0.39 % Net memory used: 44.534 MB
%------------------------------------------------------------------------------