%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM387+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 02:19:56 PM UTC 2026
% Result : Theorem 4.31s 4.20s
% Output : Proof 4.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 20 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 11 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f0_nnf,plain,
! [A,B] :
( ~ in(B,A)
| ~ in(A,B) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B] :
( ~ in(B,A)
| ~ in(A,B) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p59,plain,
~ in(X0,X0),
inference(factoring,[status(thm)],[c0]) ).
fof(f26,conjecture,
! [A] : A != succ(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_ordinal1) ).
fof(f26_neg,negated_conjecture,
~ ! [A] : A != succ(A),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f26_nnf,plain,
? [A] : A = succ(A),
inference(nnf_transformation,[status(thm)],[f26_neg]) ).
fof(f26_sk,plain,
sk11 = succ(sk11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk11])],[f26_nnf]) ).
cnf(c43,plain,
sk11 = succ(sk11),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
fof(f25,axiom,
! [A] : in(A,succ(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f25_nnf,plain,
! [A] : in(A,succ(A)),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [A] : in(A,succ(A)),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c42,plain,
in(X0,succ(X0)),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p51,plain,
in(sk11,sk11),
inference(superposition,[status(thm)],[c43,c42]) ).
cnf(p61,plain,
$false,
inference(resolution,[status(thm)],[p59,p51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM387+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 03:52:18 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.31/4.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.31/4.20 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------