%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN141-1 : 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 : 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 09:37:08 AM UTC 2026
% Result : Unsatisfiable 0.97s 0.57s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 46 ( 19 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 93 ( 50 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 48 ( 12 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_34,axiom,
n0(c,d),
file('theBenchmark.p',axiom_34) ).
cnf(c_3,plain,
n0(c,d),
inference(clausify,[status(thm)],[axiom_34]) ).
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_002,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| l1(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_002) ).
cnf(c_10,plain,
( ~ n0(B,A)
| l1(A,A) ),
inference(clausify,[status(thm)],[rule_002]) ).
fof(rule_058,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| ~ l1(VAR_1,VAR_0)
| n1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_058) ).
cnf(c_14,plain,
( ~ n0(B,A)
| ~ l1(B,A)
| n1(A,A,A) ),
inference(clausify,[status(thm)],[rule_058]) ).
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_274,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
file('theBenchmark.p',rule_274) ).
cnf(c_28,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(clausify,[status(thm)],[rule_274]) ).
fof(rule_240,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_1,VAR_2,VAR_0)
| n3(VAR_0) ),
file('theBenchmark.p',rule_240) ).
cnf(c_91,plain,
( ~ p2(B,C,A)
| n3(A) ),
inference(clausify,[status(thm)],[rule_240]) ).
cnf(c_98,plain,
( ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(resolve,[status(thm)],[c_28,c_3]) ).
fof(rule_304,axiom,
! [VAR_0] :
( ~ k4(VAR_0)
| m5(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_304) ).
cnf(c_106,plain,
( ~ k4(A)
| m5(A,A) ),
inference(clausify,[status(thm)],[rule_304]) ).
cnf(c_112,plain,
( ~ q3(e,b)
| k4(c)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_91,c_98]) ).
fof(prove_this,axiom,
! [VAR_0] : ~ m5(c,VAR_0),
file('theBenchmark.p',prove_this) ).
cnf(c_132,plain,
~ m5(c,A),
inference(clausify,[status(thm)],[prove_this]) ).
cnf(c_135,plain,
( m5(c,c)
| ~ q3(e,b)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_112,c_106]) ).
cnf(c_140,plain,
( ~ q3(e,b)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_132,c_135]) ).
cnf(c_217,plain,
( ~ q2(e,e,A)
| q3(e,A) ),
inference(resolve,[status(thm)],[c_27,c_4]) ).
cnf(c_258,plain,
( ~ l1(e,e)
| n1(e,e,e) ),
inference(resolve,[status(thm)],[c_14,c_4]) ).
cnf(c_266,plain,
l1(e,e),
inference(resolve,[status(thm)],[c_10,c_4]) ).
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_334,plain,
( ~ l1(B,A)
| q2(A,A,B) ),
inference(clausify,[status(thm)],[rule_186]) ).
fof(rule_170,axiom,
! [VAR_0] :
( ~ n1(VAR_0,e,e)
| p2(VAR_0,e,VAR_0) ),
file('theBenchmark.p',rule_170) ).
cnf(c_348,plain,
( ~ n1(A,e,e)
| p2(A,e,A) ),
inference(clausify,[status(thm)],[rule_170]) ).
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_478,plain,
( ~ m0(B,A,C)
| ~ r0(D)
| ~ p0(C,A)
| l1(A,B) ),
inference(clausify,[status(thm)],[rule_003]) ).
fof(axiom_27,axiom,
m0(e,b,c),
file('theBenchmark.p',axiom_27) ).
cnf(c_487,plain,
m0(e,b,c),
inference(clausify,[status(thm)],[axiom_27]) ).
fof(axiom_18,axiom,
p0(c,b),
file('theBenchmark.p',axiom_18) ).
cnf(c_495,plain,
p0(c,b),
inference(clausify,[status(thm)],[axiom_18]) ).
fof(axiom_13,axiom,
r0(e),
file('theBenchmark.p',axiom_13) ).
cnf(c_499,plain,
r0(e),
inference(clausify,[status(thm)],[axiom_13]) ).
cnf(c_560,plain,
n1(e,e,e),
inference(resolve,[status(thm)],[c_266,c_258]) ).
cnf(c_849,plain,
( ~ q3(e,b)
| ~ n1(e,e,e) ),
inference(resolve,[status(thm)],[c_348,c_140]) ).
cnf(c_696,plain,
~ q3(e,b),
inference(resolve,[status(thm)],[c_560,c_849]) ).
cnf(c_850,plain,
( ~ m0(A,b,c)
| ~ r0(B)
| l1(b,A) ),
inference(resolve,[status(thm)],[c_478,c_495]) ).
cnf(c_851,plain,
( ~ m0(A,b,c)
| l1(b,A) ),
inference(resolve,[status(thm)],[c_850,c_499]) ).
cnf(c_792,plain,
l1(b,e),
inference(resolve,[status(thm)],[c_851,c_487]) ).
cnf(c_846,plain,
~ q2(e,e,b),
inference(resolve,[status(thm)],[c_696,c_217]) ).
cnf(c_852,plain,
~ l1(b,e),
inference(resolve,[status(thm)],[c_846,c_334]) ).
cnf(c_848,plain,
$false,
inference(resolve,[status(thm)],[c_792,c_852]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN141-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/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 17:14:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 3702559 was started by sandbox on n014,
% 0.09/0.36 % Sat Sep 26 17:14:47 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.37
% 0.13/0.37 % From the command line: assign(max_seconds, 300).
% 0.97/0.57
% 0.97/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.97/0.57
% 0.97/0.57 % Proof 1 at 0.13 (+ 0.01) seconds.
% 0.97/0.57 % Length of proof is 27.
% 0.97/0.57 % Level of proof is 7.
% 0.97/0.57 % Maximum clause weight is 14.000.
% 0.97/0.57 % Given clauses 323.
% 0.97/0.57
% 0.97/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------