%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM435+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:40:31 PM UTC 2026
% Result : Theorem 200.37s 25.88s
% Output : CNFRefutation 200.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 52 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 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(W2)
& aInteger0(W1)
& aInteger0(W0) )
=> sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
( xq != sz00
& aInteger0(xq)
& xp != sz00
& aInteger0(xp)
& aInteger0(xb)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
( sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb))
& aInteger0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox2/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] :
( sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2)
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f50,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [W0,W1] :
( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f52,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f88,plain,
aInteger0(xp),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f90,plain,
aInteger0(xq),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f98,plain,
aInteger0(xm),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f99,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f100,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f199,plain,
! [X0] :
( sdtasdt0(X0,xp) = sdtasdt0(xp,X0)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f88,f52]) ).
fof(f204,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(xp,X1)) = sdtasdt0(sdtasdt0(X0,xp),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f88,f50]) ).
fof(f878,plain,
sdtasdt0(xm,xp) = sdtasdt0(xp,xm),
inference(resolution,[status(thm)],[f199,f98]) ).
fof(f879,plain,
sdtasdt0(xq,xp) = sdtasdt0(xp,xq),
inference(resolution,[status(thm)],[f199,f90]) ).
fof(f942,plain,
! [X0] :
( sdtasdt0(X0,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(X0,xp),xm)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f204,f98]) ).
fof(f6793,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xm,xp)),
inference(backward_demodulation,[status(thm)],[f878,f100]) ).
fof(f7144,plain,
! [X0] :
( sdtasdt0(X0,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(X0,xp),xm)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f878,f942]) ).
fof(f7149,plain,
sdtasdt0(xq,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xq,xp),xm),
inference(resolution,[status(thm)],[f7144,f90]) ).
fof(f7156,plain,
sdtasdt0(xq,sdtasdt0(xm,xp)) = sdtasdt0(sdtasdt0(xp,xq),xm),
inference(forward_demodulation,[status(thm)],[f879,f7149]) ).
fof(f7157,plain,
sdtasdt0(xq,sdtasdt0(xm,xp)) = sdtpldt0(xa,smndt0(xb)),
inference(forward_demodulation,[status(thm)],[f99,f7156]) ).
fof(f7158,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7157,f6793]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM435+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n005.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 02:28:47 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 200.37/25.88 % Refutation found
% 200.37/25.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 200.37/25.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.52/25.96 % Elapsed time: 25.489984 seconds
% 6.52/25.96 % CPU time: 201.253702 seconds
% 6.52/25.96 % Total memory used: 575.602 MB
% 6.52/25.96 % Net memory used: 530.321 MB
%------------------------------------------------------------------------------