%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN189-1 : 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 : n018.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 09:37:15 AM UTC 2026
% Result : Unsatisfiable 0.96s 0.62s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 50 ( 28 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 5 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rule_124,axiom,
! [VAR_0,VAR_1] :
( ~ q1(d,VAR_1,d)
| ~ s0(d)
| ~ q0(VAR_0,VAR_1)
| r1(VAR_0) ),
file('theBenchmark.p',rule_124) ).
cnf(c_31,plain,
( ~ q1(d,B,d)
| ~ s0(d)
| ~ q0(A,B)
| r1(A) ),
inference(clausify,[status(thm)],[rule_124]) ).
fof(rule_188,axiom,
! [VAR_0] :
( ~ l0(VAR_0)
| ~ r1(VAR_0)
| r2(VAR_0) ),
file('theBenchmark.p',rule_188) ).
cnf(c_39,plain,
( ~ l0(A)
| ~ r1(A)
| r2(A) ),
inference(clausify,[status(thm)],[rule_188]) ).
cnf(c_59,plain,
( ~ l0(A)
| r2(A)
| ~ q1(d,B,d)
| ~ s0(d)
| ~ q0(A,B) ),
inference(resolve,[status(thm)],[c_31,c_39]) ).
fof(prove_this,axiom,
~ r2(c),
file('theBenchmark.p',prove_this) ).
cnf(c_76,plain,
~ r2(c),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_121,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ m0(VAR_1,VAR_2,VAR_0)
| q1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_121) ).
cnf(c_380,plain,
( ~ m0(B,C,A)
| q1(A,A,A) ),
inference(clausify,[status(thm)],[rule_121]) ).
fof(axiom_24,axiom,
l0(c),
file('theBenchmark.p',axiom_24) ).
cnf(c_480,plain,
l0(c),
inference(clausify,[status(thm)],[axiom_24]) ).
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_1,axiom,
s0(d),
file('theBenchmark.p',axiom_1) ).
cnf(c_495,plain,
s0(d),
inference(clausify,[status(thm)],[axiom_1]) ).
cnf(c_542,plain,
( ~ l0(c)
| ~ q1(d,A,d)
| ~ s0(d)
| ~ q0(c,A) ),
inference(resolve,[status(thm)],[c_59,c_76]) ).
cnf(c_881,plain,
( ~ l0(c)
| ~ q1(d,A,d)
| ~ q0(c,A) ),
inference(resolve,[status(thm)],[c_495,c_542]) ).
cnf(c_543,plain,
( ~ q1(d,A,d)
| ~ q0(c,A) ),
inference(resolve,[status(thm)],[c_480,c_881]) ).
cnf(c_789,plain,
q1(A,A,A),
inference(resolve,[status(thm)],[c_485,c_380]) ).
cnf(c_882,plain,
~ q1(d,d,d),
inference(resolve,[status(thm)],[c_543,c_487]) ).
cnf(c_880,plain,
$false,
inference(resolve,[status(thm)],[c_789,c_882]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN189-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n018.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 17:21:36 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.42 % Process 978482 was started by sandbox on n018,
% 0.16/0.42 % Sat Sep 26 17:21:36 2026
% 0.16/0.42 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.44
% 0.16/0.44 % From the command line: assign(max_seconds, 300).
% 0.96/0.62
% 0.96/0.62 % SZS status Unsatisfiable for theBenchmark
% 0.96/0.62
% 0.96/0.62 % Proof 1 at 0.15 (+ 0.02) seconds.
% 0.96/0.62 % Length of proof is 13.
% 0.96/0.62 % Level of proof is 4.
% 0.96/0.62 % Maximum clause weight is 13.000.
% 0.96/0.62 % Given clauses 274.
% 0.96/0.62
% 0.96/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------