%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN238-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 09:37:22 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_30,axiom,
n0(e,e),
file('theBenchmark.p',axiom_30) ).
cnf(c_4,plain,
n0(e,e),
inference(clausify,[status(thm)],[axiom_30]) ).
fof(rule_011,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_1)
| ~ k0(VAR_0)
| m1(VAR_0,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_011) ).
cnf(c_12,plain,
( ~ n0(B,B)
| ~ k0(A)
| m1(A,A,B) ),
inference(clausify,[status(thm)],[rule_011]) ).
cnf(c_252,plain,
( ~ k0(A)
| m1(A,A,e) ),
inference(resolve,[status(thm)],[c_12,c_4]) ).
fof(prove_this,axiom,
! [VAR_0,VAR_1] : ~ m1(VAR_0,b,VAR_1),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ m1(A,b,B),
inference(clausify,[status(thm)],[prove_this]) ).
fof(axiom_32,axiom,
k0(b),
file('theBenchmark.p',axiom_32) ).
cnf(c_476,plain,
k0(b),
inference(clausify,[status(thm)],[axiom_32]) ).
cnf(c_672,plain,
~ k0(b),
inference(resolve,[status(thm)],[c_264,c_252]) ).
cnf(c_671,plain,
$false,
inference(resolve,[status(thm)],[c_476,c_672]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN238-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 26 17:24:56 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.29 % Process 1132879 was started by sandbox2 on n012,
% 0.03/0.29 % Sat Sep 26 17:24:56 2026
% 0.03/0.29 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.03/0.30
% 0.03/0.30 % From the command line: assign(max_seconds, 300).
% 0.22/0.41
% 0.22/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41
% 0.22/0.41 % Proof 1 at 0.10 (+ 0.01) seconds.
% 0.22/0.41 % Length of proof is 6.
% 0.22/0.41 % Level of proof is 2.
% 0.22/0.41 % Maximum clause weight is 11.000.
% 0.22/0.41 % Given clauses 79.
% 0.22/0.41
% 0.22/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------