%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG090+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:04:55 PM UTC 2026
% Result : Theorem 214.73s 27.63s
% Output : CNFRefutation 214.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 106 ( 57 unt; 1 def)
% Number of atoms : 224 ( 72 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 199 ( 81 ~; 76 |; 32 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 89 ( 83 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> aElement0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0,W1,W2] :
( ( aElement0(W2)
& aElement0(W1)
& aElement0(W0) )
=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,definition,
! [W0] :
( aIdeal0(W0)
<=> ( ! [W1] :
( aElementOf0(W1,W0)
=> ( ! [W2] :
( aElement0(W2)
=> aElementOf0(sdtasdt0(W2,W1),W0) )
& ! [W2] :
( aElementOf0(W2,W0)
=> aElementOf0(sdtpldt0(W1,W2),W0) ) ) )
& aSet0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
( aIdeal0(xJ)
& aIdeal0(xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
( xx = sdtpldt0(xk,xl)
& aElementOf0(xl,xJ)
& aElementOf0(xk,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
( xy = sdtpldt0(xm,xn)
& aElementOf0(xn,xJ)
& aElementOf0(xm,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,conjecture,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f40,plain,
! [W0,W1] :
( aElement0(sdtpldt0(W0,W1))
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f41,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f44,plain,
! [W0,W1] :
( sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f45,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
! [W0,W1,W2] :
( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f47,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f76,plain,
! [W0] :
( ! [W1] :
( aElement0(W1)
| ~ aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f77,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f106,plain,
! [W0] :
( aIdeal0(W0)
<=> ( ! [W1] :
( ( ! [W2] :
( aElementOf0(sdtasdt0(W2,W1),W0)
| ~ aElement0(W2) )
& ! [W2] :
( aElementOf0(sdtpldt0(W1,W2),W0)
| ~ aElementOf0(W2,W0) ) )
| ~ aElementOf0(W1,W0) )
& aSet0(W0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f107,plain,
! [W0] :
( ( ? [W1] :
( ( ? [W2] :
( ~ aElementOf0(sdtasdt0(W2,W1),W0)
& aElement0(W2) )
| ? [W2] :
( ~ aElementOf0(sdtpldt0(W1,W2),W0)
& aElementOf0(W2,W0) ) )
& aElementOf0(W1,W0) )
| ~ aSet0(W0)
| aIdeal0(W0) )
& ( ( ! [W1] :
( ( ! [W2] :
( aElementOf0(sdtasdt0(W2,W1),W0)
| ~ aElement0(W2) )
& ! [W2] :
( aElementOf0(sdtpldt0(W1,W2),W0)
| ~ aElementOf0(W2,W0) ) )
| ~ aElementOf0(W1,W0) )
& aSet0(W0) )
| ~ aIdeal0(W0) ) ),
inference(NNF_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
( ! [W0] :
( ? [W1] :
( ( ? [W2] :
( ~ aElementOf0(sdtasdt0(W2,W1),W0)
& aElement0(W2) )
| ? [W2] :
( ~ aElementOf0(sdtpldt0(W1,W2),W0)
& aElementOf0(W2,W0) ) )
& aElementOf0(W1,W0) )
| ~ aSet0(W0)
| aIdeal0(W0) )
& ! [W0] :
( ( ! [W1] :
( ( ! [W2] :
( aElementOf0(sdtasdt0(W2,W1),W0)
| ~ aElement0(W2) )
& ! [W2] :
( aElementOf0(sdtpldt0(W1,W2),W0)
| ~ aElementOf0(W2,W0) ) )
| ~ aElementOf0(W1,W0) )
& aSet0(W0) )
| ~ aIdeal0(W0) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f109,plain,
( ! [W0] :
( ( ( ( ~ aElementOf0(sdtasdt0(sK10_skl(W0),sK8_skl(W0)),W0)
& aElement0(sK10_skl(W0)) )
| ( ~ aElementOf0(sdtpldt0(sK8_skl(W0),sK9_skl(W0)),W0)
& aElementOf0(sK9_skl(W0),W0) ) )
& aElementOf0(sK8_skl(W0),W0) )
| ~ aSet0(W0)
| aIdeal0(W0) )
& ! [W0] :
( ( ! [W1] :
( ( ! [W2] :
( aElementOf0(sdtasdt0(W2,W1),W0)
| ~ aElement0(W2) )
& ! [W2] :
( aElementOf0(sdtpldt0(W1,W2),W0)
| ~ aElementOf0(W2,W0) ) )
| ~ aElementOf0(W1,W0) )
& aSet0(W0) )
| ~ aIdeal0(W0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl]),skolemize(W1,sK8_skl(W0)),skolemize(W2,sK9_skl(W0)),skolemize(W2,sK10_skl(W0))],[f108]) ).
fof(f110,plain,
! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f118,plain,
aIdeal0(xI),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f119,plain,
aIdeal0(xJ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f123,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f124,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f125,plain,
xx = sdtpldt0(xk,xl),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f126,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f127,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f128,plain,
xy = sdtpldt0(xm,xn),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f129,plain,
aElementOf0(sdtpldt0(xk,xm),xI),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f133,plain,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f953,plain,
aSet0(xI),
inference(resolution,[status(thm)],[f118,f110]) ).
fof(f956,plain,
aSet0(xJ),
inference(resolution,[status(thm)],[f119,f110]) ).
fof(f2316,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xI) ),
inference(resolution,[status(thm)],[f953,f77]) ).
fof(f2412,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xJ) ),
inference(resolution,[status(thm)],[f956,f77]) ).
fof(f5520,plain,
aElement0(xk),
inference(resolution,[status(thm)],[f2316,f123]) ).
fof(f5521,plain,
aElement0(sdtpldt0(xk,xm)),
inference(resolution,[status(thm)],[f2316,f129]) ).
fof(f5526,plain,
aElement0(xm),
inference(resolution,[status(thm)],[f2316,f126]) ).
fof(f5621,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xk),X1) = sdtpldt0(X0,sdtpldt0(xk,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f5520,f47]) ).
fof(f5622,plain,
! [X0] :
( aElement0(sdtpldt0(X0,xk))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f5520,f41]) ).
fof(f5623,plain,
! [X0] :
( sdtpldt0(X0,xk) = sdtpldt0(xk,X0)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f5520,f45]) ).
fof(f5723,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f5526,f47]) ).
fof(f5725,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xm),X1) = sdtpldt0(X0,sdtpldt0(xm,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f5526,f47]) ).
fof(f5727,plain,
! [X0] :
( sdtpldt0(X0,xm) = sdtpldt0(xm,X0)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f5526,f45]) ).
fof(f5852,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xk),xm) = sdtpldt0(X0,sdtpldt0(xk,xm))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f5621,f5526]) ).
fof(f5857,plain,
sdtpldt0(xm,xk) = sdtpldt0(xk,xm),
inference(resolution,[status(thm)],[f5623,f5526]) ).
fof(f5963,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xk) = sdtpldt0(X0,sdtpldt0(xm,xk))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f5725,f5520]) ).
fof(f6037,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xk) = sdtpldt0(X0,sdtpldt0(xk,xm))
| ~ aElement0(X0) ),
inference(forward_demodulation,[status(thm)],[f5857,f5963]) ).
fof(f6387,plain,
aElement0(xl),
inference(resolution,[status(thm)],[f2412,f124]) ).
fof(f6388,plain,
aElement0(xn),
inference(resolution,[status(thm)],[f2412,f127]) ).
fof(f6412,plain,
sdtpldt0(sdtpldt0(xl,xk),xm) = sdtpldt0(xl,sdtpldt0(xk,xm)),
inference(resolution,[status(thm)],[f6387,f5852]) ).
fof(f6413,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(resolution,[status(thm)],[f6387,f5727]) ).
fof(f6414,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xl) = sdtpldt0(X0,sdtpldt0(xm,xl))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f6387,f5725]) ).
fof(f6415,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xl),xm) = sdtpldt0(X0,sdtpldt0(xl,xm))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f6387,f5723]) ).
fof(f6420,plain,
sdtpldt0(xl,xk) = sdtpldt0(xk,xl),
inference(resolution,[status(thm)],[f6387,f5623]) ).
fof(f6513,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xl),X1) = sdtpldt0(X0,sdtpldt0(xl,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f6387,f47]) ).
fof(f6515,plain,
! [X0] :
( sdtpldt0(X0,xl) = sdtpldt0(xl,X0)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f6387,f45]) ).
fof(f6516,plain,
sdtpldt0(xl,xk) = xx,
inference(forward_demodulation,[status(thm)],[f125,f6420]) ).
fof(f6533,plain,
sdtpldt0(sdtpldt0(xn,xm),xk) = sdtpldt0(xn,sdtpldt0(xk,xm)),
inference(resolution,[status(thm)],[f6388,f6037]) ).
fof(f6534,plain,
sdtpldt0(sdtpldt0(xn,xk),xm) = sdtpldt0(xn,sdtpldt0(xk,xm)),
inference(resolution,[status(thm)],[f6388,f5852]) ).
fof(f6535,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(resolution,[status(thm)],[f6388,f5727]) ).
fof(f6536,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xn) = sdtpldt0(X0,sdtpldt0(xm,xn))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f6388,f5725]) ).
fof(f6537,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,sdtpldt0(xn,xm))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f6388,f5723]) ).
fof(f6542,plain,
sdtpldt0(xn,xk) = sdtpldt0(xk,xn),
inference(resolution,[status(thm)],[f6388,f5623]) ).
fof(f6633,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f6388,f47]) ).
fof(f6635,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xn),X1) = sdtpldt0(X0,sdtpldt0(xn,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f6388,f47]) ).
fof(f6638,plain,
sdtpldt0(xn,xm) = xy,
inference(forward_demodulation,[status(thm)],[f128,f6535]) ).
fof(f6639,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xn) = sdtpldt0(X0,xy)
| ~ aElement0(X0) ),
inference(forward_demodulation,[status(thm)],[f128,f6536]) ).
fof(f6674,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xm),xl) = sdtpldt0(X0,sdtpldt0(xl,xm))
| ~ aElement0(X0) ),
inference(forward_demodulation,[status(thm)],[f6413,f6414]) ).
fof(f6679,plain,
sdtpldt0(sdtpldt0(xk,xm),xl) = sdtpldt0(xk,sdtpldt0(xl,xm)),
inference(resolution,[status(thm)],[f6674,f5520]) ).
fof(f6707,plain,
sdtpldt0(sdtpldt0(xk,xl),xm) = sdtpldt0(xk,sdtpldt0(xl,xm)),
inference(resolution,[status(thm)],[f6415,f5520]) ).
fof(f6712,plain,
sdtpldt0(xx,xm) = sdtpldt0(xk,sdtpldt0(xl,xm)),
inference(forward_demodulation,[status(thm)],[f125,f6707]) ).
fof(f6718,plain,
sdtpldt0(xx,xm) = sdtpldt0(xl,sdtpldt0(xk,xm)),
inference(backward_demodulation,[status(thm)],[f6516,f6412]) ).
fof(f6929,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xl),xn) = sdtpldt0(X0,sdtpldt0(xl,xn))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f6513,f6388]) ).
fof(f6944,plain,
sdtpldt0(xn,xl) = sdtpldt0(xl,xn),
inference(resolution,[status(thm)],[f6515,f6388]) ).
fof(f6966,plain,
sdtpldt0(xy,xk) = sdtpldt0(xn,sdtpldt0(xk,xm)),
inference(backward_demodulation,[status(thm)],[f6638,f6533]) ).
fof(f6977,plain,
sdtpldt0(sdtpldt0(xk,xm),xn) = sdtpldt0(xk,xy),
inference(resolution,[status(thm)],[f6639,f5520]) ).
fof(f6982,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xn),xm) = sdtpldt0(X0,xy)
| ~ aElement0(X0) ),
inference(forward_demodulation,[status(thm)],[f6638,f6537]) ).
fof(f6987,plain,
sdtpldt0(sdtpldt0(xk,xn),xm) = sdtpldt0(xk,xy),
inference(resolution,[status(thm)],[f6982,f5520]) ).
fof(f6994,plain,
sdtpldt0(sdtpldt0(xk,xn),xm) = sdtpldt0(xn,sdtpldt0(xk,xm)),
inference(backward_demodulation,[status(thm)],[f6542,f6534]) ).
fof(f7165,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xn),xl) = sdtpldt0(X0,sdtpldt0(xn,xl))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f6635,f6387]) ).
fof(f7243,plain,
sdtpldt0(sdtpldt0(xk,xm),xl) = sdtpldt0(xx,xm),
inference(backward_demodulation,[status(thm)],[f6712,f6679]) ).
fof(f7577,plain,
sdtpldt0(xk,xy) = sdtpldt0(xn,sdtpldt0(xk,xm)),
inference(forward_demodulation,[status(thm)],[f6987,f6994]) ).
fof(f7579,plain,
sdtpldt0(sdtpldt0(xk,xm),xn) = sdtpldt0(xy,xk),
inference(backward_demodulation,[status(thm)],[f7580,f6977]) ).
fof(f7580,plain,
sdtpldt0(xk,xy) = sdtpldt0(xy,xk),
inference(forward_demodulation,[status(thm)],[f6966,f7577]) ).
fof(f7689,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,xn),xl) = sdtpldt0(X0,sdtpldt0(xl,xn))
| ~ aElement0(X0) ),
inference(forward_demodulation,[status(thm)],[f6944,f7165]) ).
fof(f28110,plain,
sdtpldt0(sdtpldt0(sdtpldt0(xk,xm),xn),xl) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(resolution,[status(thm)],[f5521,f7689]) ).
fof(f28111,plain,
sdtpldt0(sdtpldt0(sdtpldt0(xk,xm),xl),xn) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(resolution,[status(thm)],[f5521,f6929]) ).
fof(f28114,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(xk,xm)),xn) = sdtpldt0(X0,sdtpldt0(sdtpldt0(xk,xm),xn))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f5521,f6633]) ).
fof(f28210,plain,
sdtpldt0(sdtpldt0(xy,xk),xl) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(forward_demodulation,[status(thm)],[f7579,f28110]) ).
fof(f28211,plain,
sdtpldt0(sdtpldt0(xx,xm),xn) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(forward_demodulation,[status(thm)],[f7243,f28111]) ).
fof(f28214,plain,
! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(xk,xm)),xn) = sdtpldt0(X0,sdtpldt0(xy,xk))
| ~ aElement0(X0) ),
inference(forward_demodulation,[status(thm)],[f7579,f28114]) ).
fof(f28244,plain,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xy,xk),xl),
inference(backward_demodulation,[status(thm)],[f28210,f133]) ).
fof(f28246,plain,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xx,xm),xn),
inference(backward_demodulation,[status(thm)],[f28248,f28244]) ).
fof(f28248,plain,
sdtpldt0(sdtpldt0(xx,xm),xn) = sdtpldt0(sdtpldt0(xy,xk),xl),
inference(forward_demodulation,[status(thm)],[f28210,f28211]) ).
fof(f28268,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xk,xm)),xn) = sdtpldt0(xl,sdtpldt0(xy,xk)),
inference(resolution,[status(thm)],[f28214,f6387]) ).
fof(f28274,plain,
sdtpldt0(sdtpldt0(xx,xm),xn) = sdtpldt0(xl,sdtpldt0(xy,xk)),
inference(forward_demodulation,[status(thm)],[f6718,f28268]) ).
fof(f28706,plain,
sdtpldt0(xx,xy) != sdtpldt0(xl,sdtpldt0(xy,xk)),
inference(backward_demodulation,[status(thm)],[f28274,f28246]) ).
fof(f31362,plain,
aElement0(sdtpldt0(xl,xk)),
inference(resolution,[status(thm)],[f5622,f6387]) ).
fof(f31369,plain,
aElement0(xx),
inference(forward_demodulation,[status(thm)],[f6516,f31362]) ).
fof(f31475,plain,
sdtpldt0(sdtpldt0(xx,xm),xn) = sdtpldt0(xx,xy),
inference(resolution,[status(thm)],[f31369,f6639]) ).
fof(f31578,plain,
sdtpldt0(xl,sdtpldt0(xy,xk)) = sdtpldt0(xx,xy),
inference(forward_demodulation,[status(thm)],[f28274,f31475]) ).
fof(f31579,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f31578,f28706]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG090+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n015.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 04:22:21 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 214.73/27.63 % Refutation found
% 214.73/27.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 214.73/27.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 110.25/27.72 % Elapsed time: 27.261509 seconds
% 110.25/27.72 % CPU time: 215.234881 seconds
% 110.25/27.72 % Total memory used: 642.469 MB
% 110.25/27.72 % Net memory used: 579.731 MB
%------------------------------------------------------------------------------