TSTP Solution File: RNG112+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG112+1 : TPTP v8.1.2. Released 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 20:38:02 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG112+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:10:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 aElement0(sz10) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f42,hypothesis,(
% 0.13/0.40 ( aIdeal0(xI)& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f44,hypothesis,(
% 0.13/0.40 (? [W0] :( aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))& W0 != sz00 ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f45,hypothesis,(
% 0.13/0.40 (! [W0] :( ( aElementOf0(W0,xI)& W0 != sz00 )=> (? [W1] :( aElementOf0(W1,xI)& W1 != sz00& (! [W2] :( ( aElementOf0(W2,xI)& W2 != sz00 )=> ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) ) )) )) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f46,conjecture,(
% 0.13/0.40 (? [W0] :( aElementOf0(W0,xI)& W0 != sz00& (! [W1] :( ( aElementOf0(W1,xI)& W1 != sz00 )=> ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f47,negated_conjecture,(
% 0.13/0.40 ~((? [W0] :( aElementOf0(W0,xI)& W0 != sz00& (! [W1] :( ( aElementOf0(W1,xI)& W1 != sz00 )=> ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) )) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f46])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 aElement0(sz10)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.40 fof(f205,plain,(
% 0.13/0.40 xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f42])).
% 0.13/0.40 fof(f210,plain,(
% 0.13/0.40 (aElementOf0(sk0_20,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))&~sk0_20=sz00)),
% 0.13/0.40 inference(skolemization,[status(esa)],[f44])).
% 0.13/0.40 fof(f211,plain,(
% 0.13/0.40 aElementOf0(sk0_20,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f210])).
% 0.13/0.40 fof(f212,plain,(
% 0.13/0.40 ~sk0_20=sz00),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f210])).
% 0.13/0.40 fof(f213,plain,(
% 0.13/0.40 ![W0]: ((~aElementOf0(W0,xI)|W0=sz00)|(?[W1]: ((aElementOf0(W1,xI)&~W1=sz00)&(![W2]: ((~aElementOf0(W2,xI)|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(W1)))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.13/0.40 fof(f214,plain,(
% 0.13/0.40 (![W0]: (~aElementOf0(W0,xI)|W0=sz00))|(?[W1]: ((aElementOf0(W1,xI)&~W1=sz00)&(![W2]: ((~aElementOf0(W2,xI)|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(W1))))))),
% 0.13/0.40 inference(miniscoping,[status(esa)],[f213])).
% 0.13/0.40 fof(f215,plain,(
% 0.13/0.40 (![W0]: (~aElementOf0(W0,xI)|W0=sz00))|((aElementOf0(sk0_21,xI)&~sk0_21=sz00)&(![W2]: ((~aElementOf0(W2,xI)|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(sk0_21)))))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f214])).
% 0.13/0.40 fof(f216,plain,(
% 0.13/0.40 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|aElementOf0(sk0_21,xI))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f215])).
% 0.13/0.40 fof(f217,plain,(
% 0.13/0.40 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~sk0_21=sz00)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f215])).
% 0.13/0.40 fof(f218,plain,(
% 0.13/0.40 ![X0,X1]: (~aElementOf0(X0,xI)|X0=sz00|~aElementOf0(X1,xI)|X1=sz00|~iLess0(sbrdtbr0(X1),sbrdtbr0(sk0_21)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f215])).
% 0.13/0.40 fof(f219,plain,(
% 0.13/0.40 (![W0]: ((~aElementOf0(W0,xI)|W0=sz00)|(?[W1]: ((aElementOf0(W1,xI)&~W1=sz00)&iLess0(sbrdtbr0(W1),sbrdtbr0(W0))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.13/0.40 fof(f220,plain,(
% 0.13/0.40 ![W0]: ((~aElementOf0(W0,xI)|W0=sz00)|((aElementOf0(sk0_22(W0),xI)&~sk0_22(W0)=sz00)&iLess0(sbrdtbr0(sk0_22(W0)),sbrdtbr0(W0))))),
% 0.13/0.40 inference(skolemization,[status(esa)],[f219])).
% 0.13/0.40 fof(f221,plain,(
% 0.13/0.40 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|aElementOf0(sk0_22(X0),xI))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f220])).
% 0.13/0.40 fof(f222,plain,(
% 0.13/0.40 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~sk0_22(X0)=sz00)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f220])).
% 0.13/0.40 fof(f223,plain,(
% 0.13/0.40 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|iLess0(sbrdtbr0(sk0_22(X0)),sbrdtbr0(X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f220])).
% 0.13/0.40 fof(f244,plain,(
% 0.13/0.40 spl0_2 <=> ~aElementOf0(X0,xI)|X0=sz00),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f245,plain,(
% 0.13/0.40 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~spl0_2)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f244])).
% 0.13/0.40 fof(f247,plain,(
% 0.13/0.40 spl0_3 <=> aElementOf0(sk0_21,xI)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f250,plain,(
% 0.20/0.41 spl0_2|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f216,f244,f247])).
% 0.20/0.41 fof(f251,plain,(
% 0.20/0.41 spl0_4 <=> sk0_21=sz00),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f254,plain,(
% 0.20/0.41 spl0_2|~spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f217,f244,f251])).
% 0.20/0.41 fof(f255,plain,(
% 0.20/0.41 spl0_5 <=> ~aElementOf0(X1,xI)|X1=sz00|~iLess0(sbrdtbr0(X1),sbrdtbr0(sk0_21))),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f256,plain,(
% 0.20/0.41 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~iLess0(sbrdtbr0(X0),sbrdtbr0(sk0_21))|~spl0_5)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f255])).
% 0.20/0.41 fof(f258,plain,(
% 0.20/0.41 spl0_2|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f218,f244,f255])).
% 0.20/0.41 fof(f339,plain,(
% 0.20/0.41 aElementOf0(sk0_20,xI)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f205,f211])).
% 0.20/0.41 fof(f340,plain,(
% 0.20/0.41 sk0_20=sz00|~spl0_2),
% 0.20/0.41 inference(resolution,[status(thm)],[f339,f245])).
% 0.20/0.41 fof(f341,plain,(
% 0.20/0.41 $false|~spl0_2),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f340,f212])).
% 0.20/0.41 fof(f342,plain,(
% 0.20/0.41 ~spl0_2),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f341])).
% 0.20/0.41 fof(f361,plain,(
% 0.20/0.41 spl0_20 <=> aElementOf0(sk0_22(sk0_21),xI)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f363,plain,(
% 0.20/0.41 ~aElementOf0(sk0_22(sk0_21),xI)|spl0_20),
% 0.20/0.41 inference(component_clause,[status(thm)],[f361])).
% 0.20/0.41 fof(f364,plain,(
% 0.20/0.41 spl0_21 <=> sk0_22(sk0_21)=sz00),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f365,plain,(
% 0.20/0.41 sk0_22(sk0_21)=sz00|~spl0_21),
% 0.20/0.41 inference(component_clause,[status(thm)],[f364])).
% 0.20/0.41 fof(f367,plain,(
% 0.20/0.41 ~aElementOf0(sk0_21,xI)|sk0_21=sz00|~aElementOf0(sk0_22(sk0_21),xI)|sk0_22(sk0_21)=sz00|~spl0_5),
% 0.20/0.41 inference(resolution,[status(thm)],[f223,f256])).
% 0.20/0.41 fof(f368,plain,(
% 0.20/0.41 ~spl0_3|spl0_4|~spl0_20|spl0_21|~spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f367,f247,f251,f361,f364,f255])).
% 0.20/0.41 fof(f396,plain,(
% 0.20/0.41 spl0_26 <=> aElement0(sz10)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f398,plain,(
% 0.20/0.41 ~aElement0(sz10)|spl0_26),
% 0.20/0.41 inference(component_clause,[status(thm)],[f396])).
% 0.20/0.41 fof(f408,plain,(
% 0.20/0.41 $false|spl0_26),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f398,f52])).
% 0.20/0.41 fof(f409,plain,(
% 0.20/0.41 spl0_26),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f408])).
% 0.20/0.41 fof(f477,plain,(
% 0.20/0.41 ~aElementOf0(sk0_21,xI)|sk0_21=sz00|spl0_20),
% 0.20/0.41 inference(resolution,[status(thm)],[f363,f221])).
% 0.20/0.41 fof(f478,plain,(
% 0.20/0.41 ~spl0_3|spl0_4|spl0_20),
% 0.20/0.41 inference(split_clause,[status(thm)],[f477,f247,f251,f361])).
% 0.20/0.41 fof(f479,plain,(
% 0.20/0.41 ~aElementOf0(sk0_21,xI)|sk0_21=sz00|~spl0_21),
% 0.20/0.41 inference(resolution,[status(thm)],[f365,f222])).
% 0.20/0.41 fof(f480,plain,(
% 0.20/0.41 ~spl0_3|spl0_4|~spl0_21),
% 0.20/0.41 inference(split_clause,[status(thm)],[f479,f247,f251,f364])).
% 0.20/0.41 fof(f493,plain,(
% 0.20/0.41 $false),
% 0.20/0.41 inference(sat_refutation,[status(thm)],[f250,f254,f258,f342,f368,f409,f478,f480])).
% 0.20/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.41 % Elapsed time: 0.055859 seconds
% 0.20/0.41 % CPU time: 0.223082 seconds
% 0.20/0.41 % Total memory used: 52.086 MB
% 0.20/0.41 % Net memory used: 51.999 MB
%------------------------------------------------------------------------------