%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN123-1 : 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 : n011.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 09:37:06 AM UTC 2026
% Result : Unsatisfiable 0.69s 0.58s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 7 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rule_001,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| k1(VAR_0) ),
file('theBenchmark.p',rule_001) ).
cnf(c_1,plain,
( ~ n0(B,A)
| k1(A) ),
inference(clausify,[status(thm)],[rule_001]) ).
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]) ).
cnf(c_259,plain,
k1(b),
inference(resolve,[status(thm)],[c_1,c_6]) ).
cnf(c_263,plain,
k1(a),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(prove_this,axiom,
~ l2(d,d),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ l2(d,d),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_134,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p0(VAR_1,VAR_0)
| ~ m1(VAR_2,VAR_1,VAR_1)
| ~ m0(VAR_1,VAR_0,VAR_2)
| l2(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_134) ).
cnf(c_369,plain,
( ~ p0(B,A)
| ~ m1(C,B,B)
| ~ m0(B,A,C)
| l2(A,A) ),
inference(clausify,[status(thm)],[rule_134]) ).
fof(rule_034,axiom,
! [VAR_0,VAR_1] :
( ~ q0(VAR_0,VAR_0)
| ~ k1(VAR_1)
| ~ k1(a)
| m1(VAR_0,VAR_1,VAR_1) ),
file('theBenchmark.p',rule_034) ).
cnf(c_445,plain,
( ~ q0(A,A)
| ~ k1(B)
| ~ k1(a)
| m1(A,B,B) ),
inference(clausify,[status(thm)],[rule_034]) ).
cnf(c_446,plain,
( ~ q0(A,A)
| ~ k1(B)
| m1(A,B,B) ),
inference(resolve,[status(thm)],[c_263,c_445]) ).
fof(axiom_19,axiom,
! [VAR_0,VAR_1] : m0(VAR_0,d,VAR_1),
file('theBenchmark.p',axiom_19) ).
cnf(c_485,plain,
m0(A,d,B),
inference(clausify,[status(thm)],[axiom_19]) ).
fof(axiom_17,axiom,
! [VAR_0] : q0(VAR_0,d),
file('theBenchmark.p',axiom_17) ).
cnf(c_487,plain,
q0(A,d),
inference(clausify,[status(thm)],[axiom_17]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_489,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
cnf(c_759,plain,
( ~ q0(A,A)
| m1(A,b,b) ),
inference(resolve,[status(thm)],[c_446,c_259]) ).
cnf(c_741,plain,
m1(d,b,b),
inference(resolve,[status(thm)],[c_759,c_487]) ).
cnf(c_760,plain,
( ~ p0(A,d)
| ~ m1(B,A,A)
| ~ m0(A,d,B) ),
inference(resolve,[status(thm)],[c_369,c_264]) ).
cnf(c_761,plain,
( ~ p0(B,d)
| ~ m1(A,B,B) ),
inference(resolve,[status(thm)],[c_760,c_485]) ).
cnf(c_757,plain,
~ m1(A,b,b),
inference(resolve,[status(thm)],[c_761,c_489]) ).
cnf(c_758,plain,
$false,
inference(resolve,[status(thm)],[c_757,c_741]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN123-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 17:13:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 1128662 was started by sandbox2 on n011,
% 0.11/0.38 % Sat Sep 26 17:13:30 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.40
% 0.11/0.40 % From the command line: assign(max_seconds, 300).
% 0.69/0.58
% 0.69/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.69/0.58
% 0.69/0.58 % Proof 1 at 0.12 (+ 0.02) seconds.
% 0.69/0.58 % Length of proof is 15.
% 0.69/0.58 % Level of proof is 4.
% 0.69/0.58 % Maximum clause weight is 19.000.
% 0.69/0.58 % Given clauses 254.
% 0.69/0.58
% 0.69/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------