%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PHI010+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 02:30:17 PM UTC 2026
% Result : Theorem 4.34s 1.09s
% Output : Proof 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 123 ( 28 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 153 ( 57 ~; 52 |; 36 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-4 aty)
% Number of variables : 42 ( 0 sgn 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [F,X,W] :
( ( object(W)
& object(X)
& property(F) )
=> ( ( X = W
& is_the(X,F) )
<=> ? [Y] :
( Y = W
& ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) )
& exemplifies_property(F,Y)
& object(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_axiom_identity_instance) ).
fof(f3_nnf,plain,
! [F,X,W] :
( ( ( ! [Y] :
( Y != W
| ? [Z] :
( Z != Y
& exemplifies_property(F,Z)
& object(Z) )
| ~ exemplifies_property(F,Y)
| ~ object(Y) )
| ( X = W
& is_the(X,F) ) )
& ( ? [Y] :
( Y = W
& ! [Z] :
( Z = Y
| ~ exemplifies_property(F,Z)
| ~ object(Z) )
& exemplifies_property(F,Y)
& object(Y) )
| X != W
| ~ is_the(X,F) ) )
| ~ object(W)
| ~ object(X)
| ~ property(F) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [F,X,W,Z,Y] :
( ( ( Y != W
| ( sk1(F,X,W,Y) != Y
& exemplifies_property(F,sk1(F,X,W,Y))
& object(sk1(F,X,W,Y)) )
| ~ exemplifies_property(F,Y)
| ~ object(Y)
| ( X = W
& is_the(X,F) ) )
& ( ( sk0(F,X,W) = W
& ( Z = sk0(F,X,W)
| ~ exemplifies_property(F,Z)
| ~ object(Z) )
& exemplifies_property(F,sk0(F,X,W))
& object(sk0(F,X,W)) )
| X != W
| ~ is_the(X,F) ) )
| ~ object(W)
| ~ object(X)
| ~ property(F) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f3_nnf]) ).
cnf(c8,plain,
( sk0(X0,X1,X2) = X2
| X1 != X2
| ~ is_the(X1,X0)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p53,plain,
( sk0(X0,X1,X1) = X1
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ object(X1)
| ~ property(X0) ),
inference(equality_resolution,[status(thm)],[c8]) ).
cnf(p111,plain,
( sk0(X0,X1,X1) = X1
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(factoring,[status(thm)],[p53]) ).
fof(f4,conjecture,
! [X,F,Y] :
( ( object(Y)
& property(F)
& object(X) )
=> ( ( X = Y
& is_the(X,F) )
=> exemplifies_property(F,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
fof(f4_neg,negated_conjecture,
~ ! [X,F,Y] :
( ( object(Y)
& property(F)
& object(X) )
=> ( ( X = Y
& is_the(X,F) )
=> exemplifies_property(F,Y) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f4_nnf,plain,
? [X,F,Y] :
( ~ exemplifies_property(F,Y)
& X = Y
& is_the(X,F)
& object(Y)
& property(F)
& object(X) ),
inference(nnf_transformation,[status(thm)],[f4_neg]) ).
fof(f4_sk,plain,
( ~ exemplifies_property(sk3,sk4)
& sk2 = sk4
& is_the(sk2,sk3)
& object(sk4)
& property(sk3)
& object(sk2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2,sk3,sk4])],[f4_nnf]) ).
cnf(c16,plain,
property(sk3),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p112,plain,
( sk0(sk3,X0,X0) = X0
| ~ is_the(X0,sk3)
| ~ object(X0) ),
inference(resolution,[status(thm)],[p111,c16]) ).
cnf(c15,plain,
object(sk2),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p113,plain,
( sk0(sk3,sk2,sk2) = sk2
| ~ is_the(sk2,sk3) ),
inference(resolution,[status(thm)],[p112,c15]) ).
cnf(c18,plain,
is_the(sk2,sk3),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p119,plain,
sk0(sk3,sk2,sk2) = sk2,
inference(resolution,[status(thm)],[p113,c18]) ).
cnf(c6,plain,
( exemplifies_property(X0,sk0(X0,X1,X2))
| X1 != X2
| ~ is_the(X1,X0)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p33,plain,
( exemplifies_property(X0,sk0(X0,X1,X1))
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ object(X1)
| ~ property(X0) ),
inference(equality_resolution,[status(thm)],[c6]) ).
cnf(p89,plain,
( exemplifies_property(X0,sk0(X0,X1,X1))
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(factoring,[status(thm)],[p33]) ).
cnf(p90,plain,
( exemplifies_property(sk3,sk0(sk3,X0,X0))
| ~ is_the(X0,sk3)
| ~ object(X0) ),
inference(resolution,[status(thm)],[p89,c16]) ).
cnf(p94,plain,
( exemplifies_property(sk3,sk0(sk3,sk2,sk2))
| ~ is_the(sk2,sk3) ),
inference(resolution,[status(thm)],[p90,c15]) ).
cnf(p100,plain,
exemplifies_property(sk3,sk0(sk3,sk2,sk2)),
inference(resolution,[status(thm)],[p94,c18]) ).
cnf(p124,plain,
exemplifies_property(sk3,sk2),
inference(demodulation,[status(thm)],[p119,p100]) ).
cnf(c19,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(c20,plain,
~ exemplifies_property(sk3,sk4),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p23,plain,
~ exemplifies_property(sk3,sk2),
inference(superposition,[status(thm)],[c19,c20]) ).
cnf(p130,plain,
$false,
inference(resolution,[status(thm)],[p124,p23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PHI010+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 06:06:12 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.34/1.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.34/1.09 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------