%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN179-1 : 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 09:37:14 AM UTC 2026
% Result : Unsatisfiable 0.82s 0.54s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 21 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 48 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 65 ( 11 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_30,axiom,
n0(e,e),
file('theBenchmark.p',axiom_30) ).
cnf(c_4,plain,
n0(e,e),
inference(clausify,[status(thm)],[axiom_30]) ).
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_207,plain,
( ~ q2(e,e,A)
| q3(e,A) ),
inference(resolve,[status(thm)],[c_27,c_4]) ).
fof(prove_this,axiom,
! [VAR_0] : ~ q3(d,VAR_0),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ q3(d,A),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_256,axiom,
! [VAR_0,VAR_1] :
( ~ q3(VAR_1,VAR_0)
| ~ p2(VAR_1,VAR_0,VAR_0)
| q3(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_256) ).
cnf(c_298,plain,
( ~ q3(B,A)
| ~ p2(B,A,A)
| q3(A,A) ),
inference(clausify,[status(thm)],[rule_256]) ).
fof(rule_186,axiom,
! [VAR_0,VAR_1] :
( ~ l1(VAR_1,VAR_0)
| q2(VAR_0,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_186) ).
cnf(c_325,plain,
( ~ l1(B,A)
| q2(A,A,B) ),
inference(clausify,[status(thm)],[rule_186]) ).
fof(rule_145,axiom,
! [VAR_0,VAR_1] :
( ~ p1(VAR_0,VAR_1,e)
| ~ r0(e)
| p2(e,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_145) ).
cnf(c_360,plain,
( ~ p1(A,B,e)
| ~ r0(e)
| p2(e,A,B) ),
inference(clausify,[status(thm)],[rule_145]) ).
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(rule_082,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p1(VAR_2,VAR_0,VAR_3)
| ~ m0(VAR_2,VAR_0,VAR_3)
| p1(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',rule_082) ).
cnf(c_409,plain,
( ~ p1(C,A,D)
| ~ m0(C,A,D)
| p1(A,B,C) ),
inference(clausify,[status(thm)],[rule_082]) ).
fof(rule_003,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ m0(VAR_1,VAR_0,VAR_2)
| ~ r0(VAR_3)
| ~ p0(VAR_2,VAR_0)
| l1(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_003) ).
cnf(c_469,plain,
( ~ m0(B,A,C)
| ~ r0(D)
| ~ p0(C,A)
| l1(A,B) ),
inference(clausify,[status(thm)],[rule_003]) ).
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_13,axiom,
r0(e),
file('theBenchmark.p',axiom_13) ).
cnf(c_490,plain,
r0(e),
inference(clausify,[status(thm)],[axiom_13]) ).
fof(axiom_12,axiom,
! [VAR_0] : m0(a,VAR_0,a),
file('theBenchmark.p',axiom_12) ).
cnf(c_491,plain,
m0(a,A,a),
inference(clausify,[status(thm)],[axiom_12]) ).
cnf(c_619,plain,
( ~ p1(A,B,e)
| p2(e,A,B) ),
inference(resolve,[status(thm)],[c_490,c_360]) ).
cnf(c_672,plain,
( ~ q3(A,d)
| ~ p2(A,d,d) ),
inference(resolve,[status(thm)],[c_298,c_264]) ).
cnf(c_831,plain,
p1(A,A,A),
inference(resolve,[status(thm)],[c_489,c_406]) ).
cnf(c_1057,plain,
( ~ m0(B,A,b)
| ~ r0(C)
| l1(A,B) ),
inference(resolve,[status(thm)],[c_469,c_489]) ).
cnf(c_1058,plain,
( ~ m0(B,A,b)
| l1(A,B) ),
inference(resolve,[status(thm)],[c_1057,c_490]) ).
cnf(c_871,plain,
l1(d,A),
inference(resolve,[status(thm)],[c_1058,c_485]) ).
cnf(c_948,plain,
( ~ q2(e,e,d)
| ~ p2(e,d,d) ),
inference(resolve,[status(thm)],[c_672,c_207]) ).
cnf(c_975,plain,
q2(A,A,d),
inference(resolve,[status(thm)],[c_871,c_325]) ).
cnf(c_977,plain,
~ p2(e,d,d),
inference(resolve,[status(thm)],[c_975,c_948]) ).
cnf(c_994,plain,
~ p1(d,d,e),
inference(resolve,[status(thm)],[c_977,c_619]) ).
cnf(c_1059,plain,
( ~ p1(e,d,A)
| ~ m0(e,d,A) ),
inference(resolve,[status(thm)],[c_994,c_409]) ).
cnf(c_1000,plain,
~ p1(e,d,A),
inference(resolve,[status(thm)],[c_485,c_1059]) ).
cnf(c_1060,plain,
( ~ p1(A,e,B)
| ~ m0(A,e,B) ),
inference(resolve,[status(thm)],[c_409,c_1000]) ).
cnf(c_1025,plain,
~ p1(a,e,a),
inference(resolve,[status(thm)],[c_1060,c_491]) ).
cnf(c_1061,plain,
( ~ p1(a,a,A)
| ~ m0(a,a,A) ),
inference(resolve,[status(thm)],[c_409,c_1025]) ).
cnf(c_1062,plain,
~ p1(a,a,a),
inference(resolve,[status(thm)],[c_1061,c_491]) ).
cnf(c_1056,plain,
$false,
inference(resolve,[status(thm)],[c_831,c_1062]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN179-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 17:21:07 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.02/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.36 % Process 977696 was started by sandbox on n018,
% 0.02/0.36 % Sat Sep 26 17:21:07 2026
% 0.02/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.02/0.37
% 0.02/0.37 % From the command line: assign(max_seconds, 300).
% 0.82/0.54
% 0.82/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.82/0.54
% 0.82/0.54 % Proof 1 at 0.12 (+ 0.02) seconds.
% 0.82/0.54 % Length of proof is 25.
% 0.82/0.54 % Level of proof is 7.
% 0.82/0.54 % Maximum clause weight is 17.000.
% 0.82/0.54 % Given clauses 357.
% 0.82/0.54
% 0.82/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------