%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW348+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 03:07:41 PM UTC 2026
% Result : Theorem 0.82s 1.16s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 54 ( 32 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 16 ~; 20 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 42 ( 39 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [V_u,V_t,V_s,V_c] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
=> ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
=> V_u = V_t ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2108,axiom,
c_Int_OMin != c_Int_OPls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5227,conjecture,
! [B_Z,B_s_H] :
( ! [B_Z_H] :
( ! [B_s1] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s1))
=> B_Z_H = B_s1 )
=> B_Z_H = B_s_H )
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s_H)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5228,negated_conjecture,
~ ! [B_Z,B_s_H] :
( ! [B_Z_H] :
( ! [B_s1] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s1))
=> B_Z_H = B_s1 )
=> B_Z_H = B_s_H )
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s_H)) ),
inference(negated_conjecture,[status(cth)],[f5227]) ).
fof(f5232,plain,
! [V_u,V_t,V_s,V_c] :
( V_u = V_t
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f5233,plain,
! [V_t,V_s,V_c] :
( ! [V_u] :
( V_u = V_t
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u)) )
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ),
inference(miniscoping,[status(thm)],[f5232]) ).
fof(f5234,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X3))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X0),X1),X2)) ),
inference(cnf_transformation,[status(thm)],[f5233]) ).
fof(f11374,plain,
c_Int_OMin != c_Int_OPls,
inference(cnf_transformation,[status(thm)],[f2108]) ).
fof(f19863,plain,
? [B_Z,B_s_H] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s_H))
& ! [B_Z_H] :
( B_Z_H = B_s_H
| ? [B_s1] :
( B_Z_H != B_s1
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),B_Z),B_s1)) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f5228]) ).
fof(f19864,plain,
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK524_skl))
& ! [B_Z_H] :
( B_Z_H = sK524_skl
| ( B_Z_H != sK525_skl(B_Z_H)
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK525_skl(B_Z_H))) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK523_skl,sK524_skl,sK525_skl]),skolemize(B_Z,sK523_skl),skolemize(B_s_H,sK524_skl),skolemize(B_s1,sK525_skl(B_Z_H))],[f19863]) ).
fof(f19865,plain,
! [X0] :
( X0 = sK524_skl
| hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK525_skl(X0))) ),
inference(cnf_transformation,[status(thm)],[f19864]) ).
fof(f19866,plain,
! [X0] :
( X0 = sK524_skl
| X0 != sK525_skl(X0) ),
inference(cnf_transformation,[status(thm)],[f19864]) ).
fof(f19867,plain,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK524_skl)),
inference(cnf_transformation,[status(thm)],[f19864]) ).
fof(f20664,plain,
! [X0,X1] :
( X1 = sK524_skl
| sK525_skl(X1) = X0
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),X0)) ),
inference(resolution,[status(thm)],[f5234,f19865]) ).
fof(f20665,plain,
! [X0,X1] :
( X1 = sK524_skl
| X0 = sK524_skl
| sK525_skl(X0) = sK525_skl(X1) ),
inference(resolution,[status(thm)],[f20664,f19865]) ).
fof(f20666,plain,
! [X0] :
( sK525_skl(X0) = sK524_skl
| sK525_skl(X0) = sK524_skl
| X0 = sK524_skl ),
inference(resolution,[status(thm)],[f20665,f19866]) ).
fof(f20676,plain,
! [X0] :
( sK525_skl(X0) = sK524_skl
| X0 = sK524_skl ),
inference(duplicate_literals_removal,[status(thm)],[f20666]) ).
fof(f20693,plain,
! [X0] :
( X0 = sK524_skl
| X0 = sK524_skl
| hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK524_skl)) ),
inference(paramodulation,[status(thm)],[f20676,f19865]) ).
fof(f20699,plain,
! [X0] :
( X0 = sK524_skl
| hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK523_skl),sK524_skl)) ),
inference(duplicate_literals_removal,[status(thm)],[f20693]) ).
fof(f20700,plain,
! [X0] : X0 = sK524_skl,
inference(forward_subsumption_resolution,[status(thm)],[f20699,f19867]) ).
fof(f20701,plain,
! [X0,X1] : X0 = X1,
inference(paramodulation,[status(thm)],[f20700,f20700]) ).
fof(f20703,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f11374,f20701]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW348+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n006.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 21 09:48:28 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.77/1.06 % Drodi V4.1.1
% 0.82/1.16 % Refutation found
% 0.82/1.16 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.82/1.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.83/1.31 % Elapsed time: 0.902046 seconds
% 0.83/1.31 % CPU time: 1.604319 seconds
% 0.83/1.31 % Total memory used: 615.933 MB
% 0.83/1.31 % Net memory used: 610.385 MB
%------------------------------------------------------------------------------