%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN943+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 03:36:22 PM UTC 2026
% Result : Theorem 4.34s 1.07s
% Output : Proof 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 88 ( 24 ~; 32 |; 24 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn 12 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
! [A] :
? [X,X2,X3,X4,Y] :
( ( ( s(A,Y)
=> p(Y) )
& ( e(X2)
=> ( c(f(X2))
| g(X2) ) )
& ( e(X)
=> ( s(X,f(X))
| g(X) ) )
& e(A)
& p(A) )
=> ( ( c(X4)
& p(X4) )
| ( g(X3)
& p(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f0_neg,negated_conjecture,
~ ! [A] :
? [X,X2,X3,X4,Y] :
( ( ( s(A,Y)
=> p(Y) )
& ( e(X2)
=> ( c(f(X2))
| g(X2) ) )
& ( e(X)
=> ( s(X,f(X))
| g(X) ) )
& e(A)
& p(A) )
=> ( ( c(X4)
& p(X4) )
| ( g(X3)
& p(X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [A] :
! [X,X2,X3,X4,Y] :
( ( ~ c(X4)
| ~ p(X4) )
& ( ~ g(X3)
| ~ p(X3) )
& ( p(Y)
| ~ s(A,Y) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X,f(X))
| g(X)
| ~ e(X) )
& e(A)
& p(A) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,X2,Y,X3,X4] :
( ( ~ c(X4)
| ~ p(X4) )
& ( ~ g(X3)
| ~ p(X3) )
& ( p(Y)
| ~ s(sk0,Y) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X,f(X))
| g(X)
| ~ e(X) )
& e(sk0)
& p(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c2,plain,
( s(X1,f(X1))
| g(X1)
| ~ e(X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
e(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p8,plain,
( s(sk0,f(sk0))
| g(sk0) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(c4,plain,
( p(X5)
| ~ s(sk0,X5) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p10,plain,
( p(f(sk0))
| g(sk0) ),
inference(resolution,[status(thm)],[p8,c4]) ).
cnf(c6,plain,
( ~ c(X4)
| ~ p(X4) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p13,plain,
( ~ c(f(sk0))
| g(sk0) ),
inference(resolution,[status(thm)],[p10,c6]) ).
cnf(c3,plain,
( c(f(X2))
| g(X2)
| ~ e(X2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p11,plain,
( c(f(sk0))
| g(sk0) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(p14,plain,
( g(sk0)
| g(sk0) ),
inference(resolution,[status(thm)],[p13,p11]) ).
cnf(p15,plain,
g(sk0),
inference(factoring,[status(thm)],[p14]) ).
cnf(c5,plain,
( ~ g(X3)
| ~ p(X3) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c0,plain,
p(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p7,plain,
~ g(sk0),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(p16,plain,
$false,
inference(resolution,[status(thm)],[p15,p7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN943+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 02:32:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.34/1.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.34/1.07 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------