%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN177-1 : 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 09:37:13 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.41s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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 : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 2 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(axiom_15,axiom,
n0(a,b),
file('theBenchmark.p',axiom_15) ).
cnf(c_6,plain,
n0(a,b),
inference(clausify,[status(thm)],[axiom_15]) ).
fof(rule_066,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_066) ).
cnf(c_17,plain,
( ~ n0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_066]) ).
fof(rule_255,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ n0(VAR_2,VAR_0)
| ~ q2(VAR_2,VAR_0,VAR_1)
| q3(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_255) ).
cnf(c_27,plain,
( ~ n0(C,A)
| ~ q2(C,A,B)
| q3(A,B) ),
inference(clausify,[status(thm)],[rule_255]) ).
cnf(c_202,plain,
( ~ q2(a,b,A)
| q3(b,A) ),
inference(resolve,[status(thm)],[c_27,c_6]) ).
cnf(c_235,plain,
p1(a,a,a),
inference(resolve,[status(thm)],[c_17,c_2]) ).
fof(prove_this,axiom,
! [VAR_0] : ~ q3(VAR_0,b),
file('theBenchmark.p',prove_this) ).
cnf(c_261,plain,
~ q3(A,b),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_177,axiom,
! [VAR_0,VAR_1] :
( ~ p1(VAR_0,VAR_0,VAR_0)
| ~ k0(VAR_1)
| q2(VAR_0,VAR_1,VAR_1) ),
file('theBenchmark.p',rule_177) ).
cnf(c_331,plain,
( ~ p1(A,A,A)
| ~ k0(B)
| q2(A,B,B) ),
inference(clausify,[status(thm)],[rule_177]) ).
fof(axiom_32,axiom,
k0(b),
file('theBenchmark.p',axiom_32) ).
cnf(c_471,plain,
k0(b),
inference(clausify,[status(thm)],[axiom_32]) ).
cnf(c_666,plain,
~ q2(a,b,b),
inference(resolve,[status(thm)],[c_261,c_202]) ).
cnf(c_691,plain,
( ~ p1(A,A,A)
| q2(A,b,b) ),
inference(resolve,[status(thm)],[c_331,c_471]) ).
cnf(c_692,plain,
q2(a,b,b),
inference(resolve,[status(thm)],[c_691,c_235]) ).
cnf(c_690,plain,
$false,
inference(resolve,[status(thm)],[c_666,c_692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN177-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 26 17:18:20 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.04/0.30 % Process 1123896 was started by sandbox2 on n012,
% 0.04/0.30 % Sat Sep 26 17:18:20 2026
% 0.04/0.30 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.04/0.31
% 0.04/0.31 % From the command line: assign(max_seconds, 300).
% 0.25/0.41
% 0.25/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.41
% 0.25/0.41 % Proof 1 at 0.09 (+ 0.01) seconds.
% 0.25/0.41 % Length of proof is 11.
% 0.25/0.41 % Level of proof is 3.
% 0.25/0.41 % Maximum clause weight is 15.000.
% 0.25/0.41 % Given clauses 241.
% 0.25/0.41
% 0.25/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------