%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN178-1 : 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 : n014.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 09:37:14 AM UTC 2026
% Result : Unsatisfiable 1.23s 0.55s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 22 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 101 ( 52 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 67 ( 19 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(axiom_7,axiom,
n0(d,b),
file('theBenchmark.p',axiom_7) ).
cnf(c_8,plain,
n0(d,b),
inference(clausify,[status(thm)],[axiom_7]) ).
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]) ).
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]) ).
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_187,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ q2(VAR_1,VAR_1,VAR_1)
| ~ k0(VAR_1)
| ~ m0(VAR_2,VAR_3,VAR_0)
| ~ r1(VAR_1)
| q2(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_187) ).
cnf(c_38,plain,
( ~ q2(B,B,B)
| ~ k0(B)
| ~ m0(C,D,A)
| ~ r1(B)
| q2(A,B,A) ),
inference(clausify,[status(thm)],[rule_187]) ).
cnf(c_203,plain,
( ~ q2(d,b,A)
| q3(b,A) ),
inference(resolve,[status(thm)],[c_27,c_8]) ).
cnf(c_227,plain,
( ~ p0(B,A)
| q1(A,b,A) ),
inference(resolve,[status(thm)],[c_21,c_6]) ).
fof(prove_this,axiom,
~ q3(b,d),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ q3(b,d),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_181,axiom,
! [VAR_0] :
( ~ p1(VAR_0,VAR_0,VAR_0)
| q2(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_181) ).
cnf(c_330,plain,
( ~ p1(A,A,A)
| q2(A,A,A) ),
inference(clausify,[status(thm)],[rule_181]) ).
fof(rule_085,axiom,
! [VAR_0,VAR_1] :
( ~ p0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_085) ).
cnf(c_406,plain,
( ~ p0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_085]) ).
fof(axiom_32,axiom,
k0(b),
file('theBenchmark.p',axiom_32) ).
cnf(c_474,plain,
k0(b),
inference(clausify,[status(thm)],[axiom_32]) ).
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_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]) ).
fof(axiom_6,axiom,
q0(b,b),
file('theBenchmark.p',axiom_6) ).
cnf(c_493,plain,
q0(b,b),
inference(clausify,[status(thm)],[axiom_6]) ).
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_506,plain,
( ~ q2(A,A,A)
| ~ k0(A)
| ~ m0(D,E,C)
| q2(C,A,C)
| ~ q1(d,B,d)
| ~ s0(d)
| ~ q0(A,B) ),
inference(resolve,[status(thm)],[c_31,c_38]) ).
cnf(c_507,plain,
( ~ q2(A,A,A)
| ~ k0(A)
| ~ m0(D,E,C)
| q2(C,A,C)
| ~ q1(d,B,d)
| ~ q0(A,B) ),
inference(resolve,[status(thm)],[c_495,c_506]) ).
cnf(c_673,plain,
~ q2(d,b,d),
inference(resolve,[status(thm)],[c_264,c_203]) ).
cnf(c_834,plain,
p1(A,A,A),
inference(resolve,[status(thm)],[c_489,c_406]) ).
cnf(c_844,plain,
q1(A,b,A),
inference(resolve,[status(thm)],[c_489,c_227]) ).
cnf(c_851,plain,
q2(A,A,A),
inference(resolve,[status(thm)],[c_834,c_330]) ).
cnf(c_873,plain,
( ~ k0(A)
| ~ m0(D,E,C)
| q2(C,A,C)
| ~ q1(d,B,d)
| ~ q0(A,B) ),
inference(resolve,[status(thm)],[c_851,c_507]) ).
cnf(c_1396,plain,
( ~ k0(b)
| ~ m0(B,C,A)
| q2(A,b,A)
| ~ q1(d,b,d) ),
inference(resolve,[status(thm)],[c_873,c_493]) ).
cnf(c_1397,plain,
( ~ k0(b)
| ~ m0(B,C,A)
| q2(A,b,A) ),
inference(resolve,[status(thm)],[c_1396,c_844]) ).
cnf(c_1398,plain,
( ~ k0(b)
| q2(A,b,A) ),
inference(resolve,[status(thm)],[c_1397,c_485]) ).
cnf(c_1394,plain,
q2(A,b,A),
inference(resolve,[status(thm)],[c_1398,c_474]) ).
cnf(c_1395,plain,
$false,
inference(resolve,[status(thm)],[c_1394,c_673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN178-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 17:18:32 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35 % Process 3710609 was started by sandbox2 on n014,
% 0.09/0.35 % Sat Sep 26 17:18:32 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 1.23/0.55
% 1.23/0.55 % given #500 (A,wt=11): 826 m1(A,B,A) | -r0(A). [resolve(489,a,466,b)].
% 1.23/0.55
% 1.23/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.23/0.55
% 1.23/0.55 % Proof 1 at 0.15 (+ 0.02) seconds.
% 1.23/0.55 % Length of proof is 25.
% 1.23/0.55 % Level of proof is 5.
% 1.23/0.55 % Maximum clause weight is 26.000.
% 1.23/0.55 % Given clauses 552.
% 1.23/0.55
% 1.23/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------