%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN225-1 : 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 : n016.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 09:37:20 AM UTC 2026
% Result : Unsatisfiable 0.13s 15.50s
% Output : CNFRefutation 0.13s
% 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 : 28 ( 16 ~; 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 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(b,a),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ l3(b,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_364,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_488,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
fof(axiom_9,axiom,
r0(b),
file('theBenchmark.p',axiom_9) ).
cnf(c_491,plain,
r0(b),
inference(clausify,[status(thm)],[axiom_9]) ).
cnf(c_744,plain,
( ~ p2(b,a,b)
| ~ r0(b) ),
inference(resolve,[status(thm)],[c_314,c_264]) ).
cnf(c_640,plain,
~ p2(b,a,b),
inference(resolve,[status(thm)],[c_491,c_744]) ).
cnf(c_723,plain,
q1(A,a,A),
inference(resolve,[status(thm)],[c_231,c_488]) ).
cnf(c_742,plain,
p2(A,a,A),
inference(resolve,[status(thm)],[c_723,c_364]) ).
cnf(c_743,plain,
$false,
inference(resolve,[status(thm)],[c_742,c_640]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN225-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/15.36 % Computer : n016.cluster.edu
% 0.07/15.36 % Model : x86_64 x86_64
% 0.07/15.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/15.36 % Memory : 8046.5625MB
% 0.07/15.36 % OS : Linux 6.8.0-71-generic
% 0.07/15.36 % CPULimit : 300
% 0.07/15.36 % WCLimit : 300
% 0.07/15.36 % DateTime : Sat Sep 26 17:29:01 UTC 2026
% 0.07/15.37 % CPUTime :
% 0.07/15.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/15.37 % Process 1379814 was started by sandbox on n016,
% 0.07/15.37 % Sat Sep 26 17:29:01 2026
% 0.07/15.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.07/15.38
% 0.07/15.38 % From the command line: assign(max_seconds, 300).
% 0.13/15.50
% 0.13/15.50 % SZS status Unsatisfiable for theBenchmark
% 0.13/15.50
% 0.13/15.50 % Proof 1 at 0.10 (+ 0.01) seconds.
% 0.13/15.50 % Length of proof is 12.
% 0.13/15.50 % Level of proof is 4.
% 0.13/15.50 % Maximum clause weight is 14.000.
% 0.13/15.50 % Given clauses 256.
% 0.13/15.50
% 0.13/15.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------