%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN234-1 : 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 : n005.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 09:37:21 AM UTC 2026
% Result : Unsatisfiable 0.91s 0.48s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 19 ( 4 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_37,axiom,
n0(b,a),
file('theBenchmark.p',axiom_37) ).
cnf(c_2,plain,
n0(b,a),
inference(clausify,[status(thm)],[axiom_37]) ).
fof(rule_092,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p0(VAR_3,VAR_0)
| ~ n0(VAR_2,VAR_1)
| q1(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_092) ).
cnf(c_21,plain,
( ~ p0(D,A)
| ~ n0(C,B)
| q1(A,B,A) ),
inference(clausify,[status(thm)],[rule_092]) ).
cnf(c_231,plain,
( ~ p0(B,A)
| q1(A,a,A) ),
inference(resolve,[status(thm)],[c_21,c_2]) ).
fof(prove_this,axiom,
~ l3(e,a),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ l3(e,a),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_215,axiom,
! [VAR_0,VAR_1] :
( ~ p2(VAR_0,VAR_1,VAR_0)
| ~ r0(VAR_0)
| l3(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_215) ).
cnf(c_314,plain,
( ~ p2(A,B,A)
| ~ r0(A)
| l3(A,B) ),
inference(clausify,[status(thm)],[rule_215]) ).
fof(rule_141,axiom,
! [VAR_0] :
( ~ q1(VAR_0,a,VAR_0)
| p2(VAR_0,a,VAR_0) ),
file('theBenchmark.p',rule_141) ).
cnf(c_361,plain,
( ~ q1(A,a,A)
| p2(A,a,A) ),
inference(clausify,[status(thm)],[rule_141]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_481,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
fof(axiom_13,axiom,
r0(e),
file('theBenchmark.p',axiom_13) ).
cnf(c_482,plain,
r0(e),
inference(clausify,[status(thm)],[axiom_13]) ).
cnf(c_621,plain,
q1(A,a,A),
inference(resolve,[status(thm)],[c_231,c_481]) ).
cnf(c_642,plain,
( ~ p2(e,a,e)
| ~ r0(e) ),
inference(resolve,[status(thm)],[c_314,c_264]) ).
cnf(c_630,plain,
~ p2(e,a,e),
inference(resolve,[status(thm)],[c_642,c_482]) ).
cnf(c_640,plain,
~ q1(e,a,e),
inference(resolve,[status(thm)],[c_630,c_361]) ).
cnf(c_641,plain,
$false,
inference(resolve,[status(thm)],[c_640,c_621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN234-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.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 17:24:33 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 2642070 was started by sandbox2 on n005,
% 0.12/0.36 % Sat Sep 26 17:24:33 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 0.91/0.48
% 0.91/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.91/0.48
% 0.91/0.48 % Proof 1 at 0.10 (+ 0.01) seconds.
% 0.91/0.48 % Length of proof is 12.
% 0.91/0.48 % Level of proof is 3.
% 0.91/0.48 % Maximum clause weight is 11.000.
% 0.91/0.48 % Given clauses 373.
% 0.91/0.48
% 0.91/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------