%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN241-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 0.75s 0.49s
% Output : CNFRefutation 0.75s
% 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 : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 2 ( 1 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,axiom,
! [VAR_0] : ~ m1(a,a,VAR_0),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ m1(a,a,A),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_023,axiom,
( ~ s0(d)
| ~ l0(a)
| m1(a,a,a) ),
file('theBenchmark.p',rule_023) ).
cnf(c_456,plain,
( ~ s0(d)
| ~ l0(a)
| m1(a,a,a) ),
inference(clausify,[status(thm)],[rule_023]) ).
cnf(c_457,plain,
( ~ s0(d)
| ~ l0(a) ),
inference(resolve,[status(thm)],[c_264,c_456]) ).
fof(axiom_20,axiom,
l0(a),
file('theBenchmark.p',axiom_20) ).
cnf(c_484,plain,
l0(a),
inference(clausify,[status(thm)],[axiom_20]) ).
fof(axiom_1,axiom,
s0(d),
file('theBenchmark.p',axiom_1) ).
cnf(c_495,plain,
s0(d),
inference(clausify,[status(thm)],[axiom_1]) ).
cnf(c_583,plain,
~ s0(d),
inference(resolve,[status(thm)],[c_484,c_457]) ).
cnf(c_582,plain,
$false,
inference(resolve,[status(thm)],[c_495,c_583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN241-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:25:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3240435 was started by sandbox on n013,
% 0.10/0.37 % Sat Sep 26 17:25:06 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.75/0.49
% 0.75/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.75/0.49
% 0.75/0.49 % Proof 1 at 0.09 (+ 0.01) seconds.
% 0.75/0.49 % Length of proof is 6.
% 0.75/0.49 % Level of proof is 2.
% 0.75/0.49 % Maximum clause weight is 9.000.
% 0.75/0.49 % Given clauses 0.
% 0.75/0.49
% 0.75/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------