TSTP Solution File: NUM435+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM435+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Wed May 31 12:29:08 EDT 2023
% Result : Theorem 10.75s 1.76s
% Output : CNFRefutation 10.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 49 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 45 ( 19 ~; 15 |; 9 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 20 (; 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xp)
& xp != sz00
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
( aInteger0(xm)
& sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f49,plain,
! [W0,W1,W2] :
( ~ aInteger0(W0)
| ~ aInteger0(W1)
| ~ aInteger0(W2)
| sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f51,plain,
! [W0,W1] :
( ~ aInteger0(W0)
| ~ aInteger0(W1)
| sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f52,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f88,plain,
aInteger0(xp),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f90,plain,
aInteger0(xq),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f98,plain,
aInteger0(xm),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f99,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f100,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f212,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) = sdtasdt0(X0,xq) ),
inference(resolution,[status(thm)],[f52,f90]) ).
fof(f221,plain,
sdtasdt0(xq,xp) = sdtasdt0(xp,xq),
inference(resolution,[status(thm)],[f212,f88]) ).
fof(f238,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(xq,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(xq,X0),X1) ),
inference(resolution,[status(thm)],[f50,f90]) ).
fof(f2284,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,sdtasdt0(xp,X0)) = sdtasdt0(sdtasdt0(xq,xp),X0) ),
inference(resolution,[status(thm)],[f238,f88]) ).
fof(f2285,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,sdtasdt0(xp,X0)) = sdtasdt0(sdtasdt0(xp,xq),X0) ),
inference(forward_demodulation,[status(thm)],[f221,f2284]) ).
fof(f5801,plain,
sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(xp,xq),xm),
inference(resolution,[status(thm)],[f98,f2285]) ).
fof(f6432,plain,
sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtpldt0(xa,smndt0(xb)),
inference(forward_demodulation,[status(thm)],[f99,f5801]) ).
fof(f6433,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6432,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM435+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n031.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 10:16:22 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 10.75/1.76 % Refutation found
% 10.75/1.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.75/1.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.26/1.79 % Elapsed time: 1.450394 seconds
% 11.26/1.79 % CPU time: 11.322605 seconds
% 11.26/1.79 % Memory used: 137.546 MB
%------------------------------------------------------------------------------