%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 : Fri Sep 25 03:13:13 PM UTC 2026
% Result : Theorem 89.49s 13.51s
% Output : Proof 89.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 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 : 56 ( 10 sgn 35 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,lemma,
! [U,V,W,X,Y] : i(triple(U,W,X)) = i(triple(V,W,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main2_l12) ).
fof(f62_nnf,plain,
! [U,V,W,X,Y] : i(triple(U,W,X)) = i(triple(V,W,Y)),
inference(nnf_transformation,[status(thm)],[f62]) ).
fof(f62_sk,plain,
! [U,W,X,V,Y] : i(triple(U,W,X)) = i(triple(V,W,Y)),
inference(skolemisation,[status(esa)],[f62_nnf]) ).
cnf(c88,plain,
i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
fof(f63,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',co2) ).
fof(f63_neg,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)],[f63]) ).
fof(f63_nnf,plain,
? [U,V,W,X] : i(insert_cpq(triple(U,V,W),X)) != insert_pq(i(triple(U,V,W)),X),
inference(nnf_transformation,[status(thm)],[f63_neg]) ).
fof(f63_sk,plain,
i(insert_cpq(triple(sk4,sk5,sk6),sk7)) != insert_pq(i(triple(sk4,sk5,sk6)),sk7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6,sk7])],[f63_nnf]) ).
cnf(c89,plain,
i(insert_cpq(triple(sk4,sk5,sk6),sk7)) != insert_pq(i(triple(sk4,sk5,sk6)),sk7),
inference(cnf_transformation,[status(esa)],[f63_sk]) ).
cnf(p181,plain,
i(insert_cpq(triple(sk4,sk5,sk6),sk7)) != insert_pq(i(triple(X0,sk5,X1)),sk7),
inference(superposition,[status(thm)],[c88,c89]) ).
fof(f41,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',ax42) ).
fof(f41_nnf,plain,
! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
! [U,V,W,X] : insert_cpq(triple(U,V,W),X) = triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c56,plain,
insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(p173,plain,
i(insert_cpq(triple(X0,X1,X2),X3)) = insert_pq(i(triple(X4,X1,X5)),X3),
inference(superposition,[status(thm)],[c56,c88]) ).
cnf(p1149,plain,
$false,
inference(resolution,[status(thm)],[p181,p173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n018.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 : Thu Sep 24 19:33:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 89.49/13.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 89.49/13.51 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------