%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN319-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 09:37:32 AM UTC 2026
% Result : Unsatisfiable 0.09s 5.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% Number of variables : 24 ( 13 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause7,axiom,
! [VAR_0,VAR_1] : ~ h(z2(VAR_0,VAR_1)),
file('theBenchmark.p',clause7) ).
cnf(c_1,plain,
~ h(z2(A,B)),
inference(clausify,[status(thm)],[clause7]) ).
fof(clause6,axiom,
! [VAR_0] :
( h(VAR_0)
| ~ g(VAR_0) ),
file('theBenchmark.p',clause6) ).
cnf(c_2,plain,
( h(A)
| ~ g(A) ),
inference(clausify,[status(thm)],[clause6]) ).
fof(clause5,axiom,
! [VAR_0] :
( h(VAR_0)
| ~ f(VAR_0) ),
file('theBenchmark.p',clause5) ).
cnf(c_3,plain,
( h(A)
| ~ f(A) ),
inference(clausify,[status(thm)],[clause5]) ).
cnf(c_4,plain,
~ f(z2(A,B)),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_5,plain,
~ g(z2(A,B)),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(clause2,axiom,
! [VAR_0,VAR_1] :
( ~ f(z1(VAR_1,VAR_0))
| f(VAR_0) ),
file('theBenchmark.p',clause2) ).
cnf(c_8,plain,
( ~ f(z1(B,A))
| f(A) ),
inference(clausify,[status(thm)],[clause2]) ).
fof(clause1,axiom,
! [VAR_0,VAR_1] :
( g(VAR_1)
| f(VAR_0) ),
file('theBenchmark.p',clause1) ).
cnf(c_9,plain,
( g(B)
| f(A) ),
inference(clausify,[status(thm)],[clause1]) ).
cnf(c_11,plain,
~ f(z1(A,z2(B,C))),
inference(resolve,[status(thm)],[c_8,c_4]) ).
cnf(c_13,plain,
f(A),
inference(resolve,[status(thm)],[c_9,c_5]) ).
cnf(c_14,plain,
$false,
inference(resolve,[status(thm)],[c_13,c_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN319-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n008.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 17:34:00 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.37 % Process 4157482 was started by sandbox on n008,
% 0.09/5.37 % Sat Sep 26 17:34:00 2026
% 0.09/5.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/5.38
% 0.09/5.38 % From the command line: assign(max_seconds, 300).
% 0.09/5.39
% 0.09/5.39 % SZS status Unsatisfiable for theBenchmark
% 0.09/5.39
% 0.09/5.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/5.39 % Length of proof is 10.
% 0.09/5.39 % Level of proof is 3.
% 0.09/5.39 % Maximum clause weight is 6.000.
% 0.09/5.39 % Given clauses 6.
% 0.09/5.39
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------