TSTP Solution File: RNG082+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG082+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:37:55 EDT 2024
% Result : Theorem 3.23s 0.77s
% Output : CNFRefutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 114 ( 24 unt; 0 def)
% Number of atoms : 272 ( 75 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 285 ( 127 ~; 125 |; 16 &)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [W0] :
( aElement0(W0)
=> aElement0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2) )
=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [W0] :
( aElement0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [W0] :
( aElement0(W0)
=> ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [W0] :
( aElement0(W0)
=> ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2) )
=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
& sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,conjecture,
sdtasdt0(smndt0(sz10),xx) = smndt0(xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f21,plain,
aElement0(sz00),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f22,plain,
aElement0(sz10),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f23,plain,
! [W0] :
( ~ aElement0(W0)
| aElement0(smndt0(W0)) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f24,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| aElement0(sdtpldt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f26,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f27,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| aElement0(sdtasdt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f28,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f30,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f31,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| ~ aElement0(W2)
| sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f33,plain,
! [W0] :
( ~ aElement0(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f34,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f35,plain,
! [X0] :
( ~ aElement0(X0)
| X0 = sdtpldt0(sz00,X0) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f36,plain,
! [W0] :
( ~ aElement0(W0)
| ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f37,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(X0)) = sz00 ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f39,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f40,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f43,plain,
! [W0] :
( ~ aElement0(W0)
| ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f44,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f46,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| ~ aElement0(W2)
| ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
& sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f49,plain,
aElement0(xx),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f50,plain,
sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f52,plain,
sdtasdt0(xx,sz10) = xx,
inference(resolution,[status(thm)],[f44,f49]) ).
fof(f55,plain,
( spl0_0
<=> aElement0(xx) ),
introduced(split_symbol_definition) ).
fof(f57,plain,
( ~ aElement0(xx)
| spl0_0 ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,plain,
( spl0_1
<=> aElement0(sz10) ),
introduced(split_symbol_definition) ).
fof(f60,plain,
( ~ aElement0(sz10)
| spl0_1 ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f73,plain,
sdtpldt0(xx,smndt0(xx)) = sz00,
inference(resolution,[status(thm)],[f37,f49]) ).
fof(f77,plain,
sz00 = sdtpldt0(smndt0(xx),xx),
inference(resolution,[status(thm)],[f38,f49]) ).
fof(f78,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference(resolution,[status(thm)],[f38,f22]) ).
fof(f81,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xx) = sdtasdt0(xx,X0) ),
inference(resolution,[status(thm)],[f40,f49]) ).
fof(f105,plain,
( spl0_2
<=> aElement0(sz00) ),
introduced(split_symbol_definition) ).
fof(f121,plain,
sz10 = sdtpldt0(sz00,sz10),
inference(resolution,[status(thm)],[f35,f22]) ).
fof(f137,plain,
( spl0_3
<=> aElement0(smndt0(sz10)) ),
introduced(split_symbol_definition) ).
fof(f138,plain,
( aElement0(smndt0(sz10))
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( ~ aElement0(smndt0(sz10))
| spl0_3 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f142,plain,
( spl0_4
<=> aElement0(smndt0(xx)) ),
introduced(split_symbol_definition) ).
fof(f143,plain,
( aElement0(smndt0(xx))
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f144,plain,
( ~ aElement0(smndt0(xx))
| spl0_4 ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,plain,
( ~ aElement0(smndt0(xx))
| ~ aElement0(xx)
| aElement0(sz00) ),
inference(paramodulation,[status(thm)],[f77,f26]) ).
fof(f146,plain,
( ~ spl0_4
| ~ spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f145,f142,f55,f105]) ).
fof(f151,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f57,f49]) ).
fof(f152,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f60,f22]) ).
fof(f154,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( ~ aElement0(xx)
| spl0_4 ),
inference(resolution,[status(thm)],[f144,f24]) ).
fof(f156,plain,
( ~ spl0_0
| spl0_4 ),
inference(split_clause,[status(thm)],[f155,f55,f142]) ).
fof(f157,plain,
( smndt0(xx) = sdtpldt0(sz00,smndt0(xx))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f143,f35]) ).
fof(f175,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(xx,X0) ),
inference(resolution,[status(thm)],[f30,f49]) ).
fof(f178,plain,
sdtasdt0(sz00,xx) = sdtasdt0(xx,sz00),
inference(resolution,[status(thm)],[f81,f21]) ).
fof(f181,plain,
! [X0] :
( sdtasdt0(smndt0(X0),xx) = sdtasdt0(xx,smndt0(X0))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f81,f24]) ).
fof(f184,plain,
( spl0_5
<=> aElement0(sdtasdt0(sz00,xx)) ),
introduced(split_symbol_definition) ).
fof(f185,plain,
( aElement0(sdtasdt0(sz00,xx))
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( ~ aElement0(xx)
| ~ aElement0(sz00)
| aElement0(sdtasdt0(sz00,xx)) ),
inference(paramodulation,[status(thm)],[f178,f28]) ).
fof(f188,plain,
( ~ spl0_0
| ~ spl0_2
| spl0_5 ),
inference(split_clause,[status(thm)],[f187,f55,f105,f184]) ).
fof(f192,plain,
( sdtpldt0(sdtasdt0(sz00,xx),sz00) = sdtasdt0(sz00,xx)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f185,f34]) ).
fof(f222,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X0,X1),smndt0(xx)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(xx)))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f32,f143]) ).
fof(f249,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10)) ),
inference(resolution,[status(thm)],[f47,f22]) ).
fof(f286,plain,
( sdtpldt0(sdtasdt0(sz00,xx),xx) = sdtpldt0(xx,sdtasdt0(sz00,xx))
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f175,f185]) ).
fof(f416,plain,
sdtasdt0(smndt0(sz10),xx) = sdtasdt0(xx,smndt0(sz10)),
inference(resolution,[status(thm)],[f181,f22]) ).
fof(f417,plain,
sdtasdt0(xx,smndt0(sz10)) != smndt0(xx),
inference(backward_demodulation,[status(thm)],[f416,f50]) ).
fof(f418,plain,
( spl0_8
<=> aElement0(sdtasdt0(xx,smndt0(sz10))) ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( aElement0(sdtasdt0(xx,smndt0(sz10)))
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( ~ aElement0(smndt0(sz10))
| ~ aElement0(xx)
| aElement0(sdtasdt0(xx,smndt0(sz10))) ),
inference(paramodulation,[status(thm)],[f416,f28]) ).
fof(f422,plain,
( ~ spl0_3
| ~ spl0_0
| spl0_8 ),
inference(split_clause,[status(thm)],[f421,f137,f55,f418]) ).
fof(f423,plain,
( ~ aElement0(sz10)
| spl0_3 ),
inference(resolution,[status(thm)],[f139,f24]) ).
fof(f424,plain,
( ~ spl0_1
| spl0_3 ),
inference(split_clause,[status(thm)],[f423,f58,f137]) ).
fof(f494,plain,
( sdtpldt0(sdtasdt0(xx,smndt0(sz10)),sz00) = sdtasdt0(xx,smndt0(sz10))
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f419,f34]) ).
fof(f1217,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,xx),smndt0(xx)) = sdtpldt0(X0,sdtpldt0(xx,smndt0(xx)))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f222,f49]) ).
fof(f1218,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,xx),smndt0(xx)) = sdtpldt0(X0,sz00)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f73,f1217]) ).
fof(f1232,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xx,smndt0(sz10)),xx),smndt0(xx)) = sdtpldt0(sdtasdt0(xx,smndt0(sz10)),sz00)
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f1218,f419]) ).
fof(f1233,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xx,smndt0(sz10)),xx),smndt0(xx)) = sdtasdt0(xx,smndt0(sz10))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f494,f1232]) ).
fof(f1236,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(sz00,xx),xx),smndt0(xx)) = sdtpldt0(sdtasdt0(sz00,xx),sz00)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f1218,f185]) ).
fof(f1237,plain,
( sdtpldt0(sdtpldt0(xx,sdtasdt0(sz00,xx)),smndt0(xx)) = sdtpldt0(sdtasdt0(sz00,xx),sz00)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f286,f1236]) ).
fof(f1238,plain,
( sdtpldt0(sdtpldt0(xx,sdtasdt0(sz00,xx)),smndt0(xx)) = sdtasdt0(sz00,xx)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f192,f1237]) ).
fof(f1651,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10)) ),
inference(resolution,[status(thm)],[f249,f21]) ).
fof(f1652,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10)) ),
inference(forward_demodulation,[status(thm)],[f121,f1651]) ).
fof(f1660,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(sz10),sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,sz10))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f249,f138]) ).
fof(f1661,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,sz10))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f78,f1660]) ).
fof(f1687,plain,
sdtasdt0(xx,sz10) = sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,sz10)),
inference(resolution,[status(thm)],[f1652,f49]) ).
fof(f1688,plain,
xx = sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,sz10)),
inference(forward_demodulation,[status(thm)],[f52,f1687]) ).
fof(f1689,plain,
xx = sdtpldt0(sdtasdt0(sz00,xx),sdtasdt0(xx,sz10)),
inference(forward_demodulation,[status(thm)],[f178,f1688]) ).
fof(f1690,plain,
xx = sdtpldt0(sdtasdt0(sz00,xx),xx),
inference(forward_demodulation,[status(thm)],[f52,f1689]) ).
fof(f1695,plain,
( xx = sdtpldt0(xx,sdtasdt0(sz00,xx))
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f1690,f286]) ).
fof(f1698,plain,
( sdtpldt0(xx,smndt0(xx)) = sdtasdt0(sz00,xx)
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f1695,f1238]) ).
fof(f1699,plain,
( sz00 = sdtasdt0(sz00,xx)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f73,f1698]) ).
fof(f1727,plain,
( sz00 = sdtasdt0(xx,sz00)
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f1699,f178]) ).
fof(f1799,plain,
( sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(xx,smndt0(sz10)),sdtasdt0(xx,sz10))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f1661,f49]) ).
fof(f1800,plain,
( sz00 = sdtpldt0(sdtasdt0(xx,smndt0(sz10)),sdtasdt0(xx,sz10))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1727,f1799]) ).
fof(f1801,plain,
( sz00 = sdtpldt0(sdtasdt0(xx,smndt0(sz10)),xx)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f52,f1800]) ).
fof(f2002,plain,
( sdtpldt0(sz00,smndt0(xx)) = sdtasdt0(xx,smndt0(sz10))
| ~ spl0_5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f1801,f1233]) ).
fof(f2003,plain,
( smndt0(xx) = sdtasdt0(xx,smndt0(sz10))
| ~ spl0_5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f157,f2002]) ).
fof(f2004,plain,
( $false
| ~ spl0_5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2003,f417]) ).
fof(f2005,plain,
( ~ spl0_5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2004]) ).
fof(f2006,plain,
$false,
inference(sat_refutation,[status(thm)],[f146,f152,f154,f156,f188,f422,f424,f2005]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG082+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n028.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 : 300
% 0.12/0.33 % DateTime : Mon Apr 29 22:37:14 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 3.23/0.77 % Refutation found
% 3.23/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.23/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.43/0.80 % Elapsed time: 0.458251 seconds
% 3.43/0.80 % CPU time: 3.516618 seconds
% 3.43/0.80 % Total memory used: 83.503 MB
% 3.43/0.80 % Net memory used: 73.227 MB
%------------------------------------------------------------------------------