%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV366+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 03:13:06 PM UTC 2026
% Result : Theorem 101.90s 20.69s
% Output : Proof 101.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 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 : 63 ( 7 sgn 45 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,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',l2_co) ).
fof(f62_neg,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)],[f62]) ).
fof(f62_nnf,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(nnf_transformation,[status(thm)],[f62_neg]) ).
fof(f62_sk,plain,
! [V,X,W,Y] :
( i(triple(sk5,insert_slb(sk4,pair(sk9,sk10)),sk7)) != i(triple(sk6,insert_slb(sk4,pair(sk9,sk10)),sk8))
& i(triple(V,sk4,X)) = i(triple(W,sk4,Y)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6,sk7,sk8,sk9,sk10])],[f62_nnf]) ).
cnf(c88,plain,
i(triple(X1,sk4,X3)) = i(triple(X2,sk4,X4)),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
fof(f54,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',ax55) ).
fof(f54_nnf,plain,
! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X),
inference(nnf_transformation,[status(thm)],[f54]) ).
fof(f54_sk,plain,
! [U,V,X,Y,W] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X),
inference(skolemisation,[status(esa)],[f54_nnf]) ).
cnf(c69,plain,
i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(cnf_transformation,[status(esa)],[f54_sk]) ).
cnf(c89,plain,
i(triple(sk5,insert_slb(sk4,pair(sk9,sk10)),sk7)) != i(triple(sk6,insert_slb(sk4,pair(sk9,sk10)),sk8)),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(p5618,plain,
insert_pq(i(triple(sk5,sk4,sk7)),sk9) != insert_pq(i(triple(sk6,sk4,sk8)),sk9),
inference(superposition,[status(thm)],[c69,c89]) ).
cnf(p5678,plain,
insert_pq(i(triple(X0,sk4,X1)),sk9) != insert_pq(i(triple(sk6,sk4,sk8)),sk9),
inference(superposition,[status(thm)],[c88,p5618]) ).
cnf(p5680,plain,
$false,
inference(equality_resolution,[status(thm)],[p5678]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV366+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/5.36 % Computer : n020.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Thu Sep 24 19:24:10 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 101.90/20.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.90/20.69 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------