%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN727+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 03:35:34 PM UTC 2026
% Result : Theorem 5.56s 1.18s
% Output : Proof 5.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 16 unt; 0 def)
% Number of atoms : 34 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 3 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 32 ( 6 sgn 14 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ( ! [Y] :
( ? [Z] : likes(Y,Z)
=> likes(lyle,Y) )
& ! [X] : likes(X,bruce) )
=> ? [U] :
! [V] : likes(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm68) ).
fof(f0_neg,negated_conjecture,
~ ( ( ! [Y] :
( ? [Z] : likes(Y,Z)
=> likes(lyle,Y) )
& ! [X] : likes(X,bruce) )
=> ? [U] :
! [V] : likes(U,V) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ! [U] :
? [V] : ~ likes(U,V)
& ! [Y] :
( likes(lyle,Y)
| ! [Z] : ~ likes(Y,Z) )
& ! [X] : likes(X,bruce) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,Y,Z,U] :
( ~ likes(U,sk0(U))
& ( likes(lyle,Y)
| ~ likes(Y,Z) )
& likes(X,bruce) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c2,plain,
~ likes(X3,sk0(X3)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t4,plain,
eq(likes(X1,sk0(X1)),true) = efalse,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t11,plain,
eq(likes(X1,sk0(X1)),true) = efalse,
inference(orient,[status(thm)],[t4]) ).
cnf(c1,plain,
( likes(lyle,X1)
| ~ likes(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi1,negated_conjecture,
ifeq(likes(X0,X1),true,likes(lyle,X0),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(c0,plain,
likes(X0,bruce),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,negated_conjecture,
likes(X0,bruce) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t2,plain,
likes(lyle,X1) = true,
inference(hyper_resolution,[status(thm)],[hi1,hi0]) ).
cnf(t8,plain,
likes(lyle,X1) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t12,plain,
efalse = eq(true,true),
inference(cp,[status(thm)],[t11,t8]) ).
cnf(t0,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t10,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t0]) ).
cnf(t17,plain,
efalse = etrue,
inference(step,[status(thm)],[t12,t10]) ).
cnf(t13,plain,
efalse = etrue,
inference(orient,[status(thm)],[t17]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t13]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN727+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 02:11:56 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.56/1.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/1.18 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------