%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN194-1 : 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 : n006.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 09:37:16 AM UTC 2026
% Result : Unsatisfiable 0.81s 0.51s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 47 ( 21 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 90 ( 48 ~; 42 |; 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 58 ( 20 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_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_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_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_328,axiom,
! [VAR_0] :
( ~ k4(VAR_0)
| r5(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_328) ).
cnf(c_108,plain,
( ~ k4(A)
| r5(A,A) ),
inference(clausify,[status(thm)],[rule_328]) ).
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,
~ r5(c,c),
file('theBenchmark.p',prove_this) ).
cnf(c_132,plain,
~ r5(c,c),
inference(clausify,[status(thm)],[prove_this]) ).
cnf(c_134,plain,
( r5(c,c)
| ~ q3(e,b)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_112,c_108]) ).
cnf(c_137,plain,
( ~ q3(e,b)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_132,c_134]) ).
cnf(c_213,plain,
( ~ q2(e,e,A)
| q3(e,A) ),
inference(resolve,[status(thm)],[c_27,c_4]) ).
cnf(c_237,plain,
( ~ p0(B,A)
| q1(A,a,A) ),
inference(resolve,[status(thm)],[c_21,c_2]) ).
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_330,plain,
( ~ l1(B,A)
| q2(A,A,B) ),
inference(clausify,[status(thm)],[rule_186]) ).
fof(rule_141,axiom,
! [VAR_0] :
( ~ q1(VAR_0,a,VAR_0)
| p2(VAR_0,a,VAR_0) ),
file('theBenchmark.p',rule_141) ).
cnf(c_370,plain,
( ~ q1(A,a,A)
| p2(A,a,A) ),
inference(clausify,[status(thm)],[rule_141]) ).
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_474,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_483,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_491,plain,
p0(c,b),
inference(clausify,[status(thm)],[axiom_18]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_494,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
fof(axiom_13,axiom,
r0(e),
file('theBenchmark.p',axiom_13) ).
cnf(c_495,plain,
r0(e),
inference(clausify,[status(thm)],[axiom_13]) ).
cnf(c_658,plain,
( ~ p2(A,B,e)
| ~ q2(e,e,b) ),
inference(resolve,[status(thm)],[c_213,c_137]) ).
cnf(c_843,plain,
q1(A,a,A),
inference(resolve,[status(thm)],[c_494,c_237]) ).
cnf(c_873,plain,
p2(A,a,A),
inference(resolve,[status(thm)],[c_843,c_370]) ).
cnf(c_938,plain,
( ~ m0(A,b,c)
| ~ r0(B)
| l1(b,A) ),
inference(resolve,[status(thm)],[c_474,c_491]) ).
cnf(c_939,plain,
( ~ m0(A,b,c)
| l1(b,A) ),
inference(resolve,[status(thm)],[c_938,c_495]) ).
cnf(c_876,plain,
l1(b,e),
inference(resolve,[status(thm)],[c_939,c_483]) ).
cnf(c_940,plain,
( ~ l1(b,e)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_658,c_330]) ).
cnf(c_936,plain,
~ p2(A,B,e),
inference(resolve,[status(thm)],[c_876,c_940]) ).
cnf(c_937,plain,
$false,
inference(resolve,[status(thm)],[c_936,c_873]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN194-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:20:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 1760592 was started by sandbox on n006,
% 0.09/0.37 % Sat Sep 26 17:20:25 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.81/0.51
% 0.81/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.81/0.51
% 0.81/0.51 % Proof 1 at 0.11 (+ 0.01) seconds.
% 0.81/0.51 % Length of proof is 28.
% 0.81/0.51 % Level of proof is 7.
% 0.81/0.51 % Maximum clause weight is 17.000.
% 0.81/0.51 % Given clauses 317.
% 0.81/0.51
% 0.81/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------