%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:47:37 PM UTC 2026
% Result : Theorem 0.09s 0.48s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 5 con; 0-3 aty)
% Number of variables : 54 ( 50 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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/sandbox/benchmark/theBenchmark.p') ).
fof(f63,lemma,
! [U,V,W,X,Y] : i(triple(U,W,X)) = i(triple(V,W,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,conjecture,
! [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) = insert_pq(i(triple(U,V,W)),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
~ ! [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) = insert_pq(i(triple(U,V,W)),X),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f167,plain,
! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f194,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(f230,plain,
! [X0,X1,X2,X3,X4] : i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f231,plain,
? [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) != insert_pq(i(triple(U,V,W)),X),
inference(pre_NNF_transformation,[status(thm)],[f65]) ).
fof(f232,plain,
i(insert_cpq(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl)) != insert_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),sK7_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(U,sK4_skl),skolemize(V,sK5_skl),skolemize(W,sK6_skl),skolemize(X,sK7_skl)],[f231]) ).
fof(f233,plain,
i(insert_cpq(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl)) != insert_pq(i(triple(sK4_skl,sK5_skl,sK6_skl)),sK7_skl),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f269,plain,
! [X0,X1] : i(insert_cpq(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl)) != insert_pq(i(triple(X0,sK5_skl,X1)),sK7_skl),
inference(paramodulation,[status(thm)],[f230,f233]) ).
fof(f302,plain,
! [X0,X1,X2,X3,X4,X5,X6] : i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X5,X1,X6)),X2),
inference(paramodulation,[status(thm)],[f230,f194]) ).
fof(f498,plain,
! [X0,X1,X2] : i(insert_cpq(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl)) != i(triple(X0,insert_slb(sK5_skl,pair(sK7_skl,X1)),X2)),
inference(paramodulation,[status(thm)],[f302,f269]) ).
fof(f1383,plain,
! [X0,X1] : i(insert_cpq(triple(sK4_skl,sK5_skl,sK6_skl),sK7_skl)) != i(insert_cpq(triple(X0,sK5_skl,X1),sK7_skl)),
inference(paramodulation,[status(thm)],[f167,f498]) ).
fof(f1404,plain,
$false,
inference(equality_resolution,[status(thm)],[f1383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.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 08:40:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.48 % Refutation found
% 0.09/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.46/0.49 % Elapsed time: 0.125278 seconds
% 0.46/0.49 % CPU time: 0.717062 seconds
% 0.46/0.49 % Total memory used: 114.172 MB
% 0.46/0.49 % Net memory used: 113.430 MB
%------------------------------------------------------------------------------