%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN410+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 03:34:38 PM UTC 2026
% Result : Theorem 0.07s 10.72s
% Output : Proof 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 26 ( 10 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ! [X,Y] : f(X,Y)
=> ? [U,V] : f(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish249) ).
fof(f0_neg,negated_conjecture,
~ ( ! [X,Y] : f(X,Y)
=> ? [U,V] : f(U,V) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ! [U,V] : ~ f(U,V)
& ! [X,Y] : f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,Y,U,V] :
( ~ f(U,V)
& f(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
f(X0,X1),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t0,plain,
f(X1,X2) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t1,plain,
f(X1,X2) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(c1,plain,
~ f(X2,X3),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(goal_0,negated_conjecture,
f(X1,X2) != true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN410+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.04/10.32 % Computer : n012.cluster.edu
% 0.04/10.32 % Model : x86_64 x86_64
% 0.04/10.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.32 % Memory : 8046.5625MB
% 0.04/10.32 % OS : Linux 6.8.0-71-generic
% 0.04/10.32 % CPULimit : 300
% 0.04/10.32 % WCLimit : 300
% 0.04/10.32 % DateTime : Fri Sep 25 01:05:48 UTC 2026
% 0.04/10.33 % CPUTime :
% 0.04/10.33 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/10.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/10.72 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------