%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN727+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Sun Sep 27 09:39:13 AM UTC 2026
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 25 ( 9 ~; 4 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 28 ( 3 sgn 18 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm68,conjecture,
( ( ! [Y] :
( ? [Z] : likes(Y,Z)
=> likes(lyle,Y) )
& ! [X] : likes(X,bruce) )
=> ? [U] :
! [V] : likes(U,V) ),
file('theBenchmark.p',thm68) ).
fof(thm68_neg,negated_conjecture,
~ ( ( ! [Y] :
( ? [Z] : likes(Y,Z)
=> likes(lyle,Y) )
& ! [X] : likes(X,bruce) )
=> ? [U] :
! [V] : likes(U,V) ),
inference(assume_negation,[status(cth)],[thm68]) ).
fof(nnf_1,plain,
( ! [U] :
? [V] : ~ likes(U,V)
& ! [Y] :
( likes(lyle,Y)
| ! [Z] : ~ likes(Y,Z) )
& ! [X] : likes(X,bruce) ),
inference(fof_nnf,[status(thm)],[thm68_neg]) ).
fof(sk_thm68_neg_sk,plain,
( ! [U] : ~ likes(U,sK0(U))
& ! [Y] :
( likes(lyle,Y)
| ! [Z] : ~ likes(Y,Z) )
& ! [X] : likes(X,bruce) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(V,sK0(U))],[nnf_1]) ).
fof(sk_thm68_neg,plain,
( ! [VAR_0] : ~ likes(VAR_0,sK0(VAR_0))
& ! [VAR_0,VAR_1] :
( likes(lyle,VAR_0)
| ~ likes(VAR_0,VAR_1) )
& ! [VAR_0] : likes(VAR_0,bruce) ),
inference(cnf_transformation,[status(thm)],[sk_thm68_neg_sk]) ).
cnf(c_2,negated_conjecture,
likes(A,bruce),
inference(split_conjunct,[status(thm)],[sk_thm68_neg]) ).
cnf(c_3,negated_conjecture,
( likes(lyle,A)
| ~ likes(A,B) ),
inference(split_conjunct,[status(thm)],[sk_thm68_neg]) ).
cnf(c_4,negated_conjecture,
~ likes(A,sK0(A)),
inference(split_conjunct,[status(thm)],[sk_thm68_neg]) ).
cnf(c_5,negated_conjecture,
likes(lyle,A),
inference(resolve,[status(thm)],[c_3,c_2]) ).
cnf(c_6,plain,
$false,
inference(resolve,[status(thm)],[c_5,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN727+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.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 : Sat Sep 26 18:22:02 UTC 2026
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 3921228 was started by sandbox on n010,
% 0.13/0.36 % Sat Sep 26 18:22:02 2026
% 0.13/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.36
% 0.13/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.37
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37
% 0.13/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.13/0.37 % Length of proof is 6.
% 0.13/0.37 % Level of proof is 3.
% 0.13/0.37 % Maximum clause weight is 6.000.
% 0.13/0.37 % Given clauses 2.
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------