%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV366+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:47:30 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 53 ( 46 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,axiom,
! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,conjecture,
! [U] :
( ! [V,W,X,Y] : i(triple(V,U,X)) = i(triple(W,U,Y))
=> ! [Z,X1,X2,X3,X4,X5] : i(triple(Z,insert_slb(U,pair(X4,X5)),X2)) = i(triple(X1,insert_slb(U,pair(X4,X5)),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
~ ! [U] :
( ! [V,W,X,Y] : i(triple(V,U,X)) = i(triple(W,U,Y))
=> ! [Z,X1,X2,X3,X4,X5] : i(triple(Z,insert_slb(U,pair(X4,X5)),X2)) = i(triple(X1,insert_slb(U,pair(X4,X5)),X3)) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X0,X1,X4)),X2),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f229,plain,
? [U] :
( ? [Z,X1,X2,X3,X4,X5] : i(triple(Z,insert_slb(U,pair(X4,X5)),X2)) != i(triple(X1,insert_slb(U,pair(X4,X5)),X3))
& ! [V,W,X,Y] : i(triple(V,U,X)) = i(triple(W,U,Y)) ),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f230,plain,
( i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK9_skl,sK10_skl)),sK7_skl)) != i(triple(sK6_skl,insert_slb(sK4_skl,pair(sK9_skl,sK10_skl)),sK8_skl))
& ! [V,W,X,Y] : i(triple(V,sK4_skl,X)) = i(triple(W,sK4_skl,Y)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(U,sK4_skl),skolemize(Z,sK5_skl),skolemize(X1,sK6_skl),skolemize(X2,sK7_skl),skolemize(X3,sK8_skl),skolemize(X4,sK9_skl),skolemize(X5,sK10_skl)],[f229]) ).
fof(f231,plain,
! [X0,X1,X2,X3] : i(triple(X0,sK4_skl,X1)) = i(triple(X2,sK4_skl,X3)),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f232,plain,
i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK9_skl,sK10_skl)),sK7_skl)) != i(triple(sK6_skl,insert_slb(sK4_skl,pair(sK9_skl,sK10_skl)),sK8_skl)),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f238,plain,
insert_pq(i(triple(sK5_skl,sK4_skl,sK7_skl)),sK9_skl) != i(triple(sK6_skl,insert_slb(sK4_skl,pair(sK9_skl,sK10_skl)),sK8_skl)),
inference(forward_demodulation,[status(thm)],[f193,f232]) ).
fof(f239,plain,
insert_pq(i(triple(sK5_skl,sK4_skl,sK7_skl)),sK9_skl) != insert_pq(i(triple(sK6_skl,sK4_skl,sK8_skl)),sK9_skl),
inference(forward_demodulation,[status(thm)],[f193,f238]) ).
fof(f244,plain,
! [X0,X1] : insert_pq(i(triple(sK5_skl,sK4_skl,sK7_skl)),sK9_skl) != insert_pq(i(triple(X0,sK4_skl,X1)),sK9_skl),
inference(paramodulation,[status(thm)],[f231,f239]) ).
fof(f250,plain,
$false,
inference(equality_resolution,[status(thm)],[f244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV366+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:46:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.044411 seconds
% 0.13/0.41 % CPU time: 0.105178 seconds
% 0.13/0.41 % Total memory used: 23.477 MB
% 0.13/0.41 % Net memory used: 23.449 MB
%------------------------------------------------------------------------------