%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN117-1 : 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 : n019.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 09:37:05 AM UTC 2026
% Result : Unsatisfiable 0.76s 0.50s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 46 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 75 ( 31 sgn 24 !; 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(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_066,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_066) ).
cnf(c_17,plain,
( ~ n0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_066]) ).
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_137,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p1(VAR_1,VAR_2,VAR_0)
| n2(VAR_0) ),
file('theBenchmark.p',rule_137) ).
cnf(c_46,plain,
( ~ p1(B,C,A)
| n2(A) ),
inference(clausify,[status(thm)],[rule_137]) ).
fof(rule_244,axiom,
! [VAR_0] :
( ~ n2(VAR_0)
| p3(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_244) ).
cnf(c_56,plain,
( ~ n2(A)
| p3(A,A,A) ),
inference(clausify,[status(thm)],[rule_244]) ).
fof(rule_299,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ l1(VAR_0,VAR_2)
| ~ p3(VAR_1,VAR_2,VAR_3)
| s4(VAR_0) ),
file('theBenchmark.p',rule_299) ).
cnf(c_117,plain,
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
inference(clausify,[status(thm)],[rule_299]) ).
fof(rule_300,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ r3(VAR_2,VAR_0,VAR_0)
| ~ s4(VAR_1)
| k5(VAR_0) ),
file('theBenchmark.p',rule_300) ).
cnf(c_118,plain,
( ~ r3(C,A,A)
| ~ s4(B)
| k5(A) ),
inference(clausify,[status(thm)],[rule_300]) ).
cnf(c_126,plain,
( ~ r3(F,E,E)
| k5(E)
| ~ l1(D,B)
| ~ p3(A,B,C) ),
inference(resolve,[status(thm)],[c_117,c_118]) ).
fof(prove_this,axiom,
~ k5(e),
file('theBenchmark.p',prove_this) ).
cnf(c_129,plain,
~ k5(e),
inference(clausify,[status(thm)],[prove_this]) ).
cnf(c_133,plain,
( ~ r3(E,e,e)
| ~ l1(D,B)
| ~ p3(A,B,C) ),
inference(resolve,[status(thm)],[c_129,c_126]) ).
cnf(c_172,plain,
( ~ p1(B,C,A)
| p3(A,A,A) ),
inference(resolve,[status(thm)],[c_56,c_46]) ).
cnf(c_233,plain,
( ~ p0(B,A)
| q1(A,a,A) ),
inference(resolve,[status(thm)],[c_21,c_2]) ).
cnf(c_240,plain,
p1(a,a,a),
inference(resolve,[status(thm)],[c_17,c_2]) ).
cnf(c_260,plain,
l1(a,a),
inference(resolve,[status(thm)],[c_10,c_2]) ).
fof(rule_267,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_0,VAR_2,VAR_1)
| r3(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_267) ).
cnf(c_295,plain,
( ~ p2(A,C,B)
| r3(A,B,A) ),
inference(clausify,[status(thm)],[rule_267]) ).
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_366,plain,
( ~ q1(A,a,A)
| p2(A,a,A) ),
inference(clausify,[status(thm)],[rule_141]) ).
fof(rule_087,axiom,
( ~ p1(a,a,a)
| ~ r0(b)
| p1(a,b,a) ),
file('theBenchmark.p',rule_087) ).
cnf(c_404,plain,
( ~ p1(a,a,a)
| ~ r0(b)
| p1(a,b,a) ),
inference(clausify,[status(thm)],[rule_087]) ).
cnf(c_405,plain,
( ~ r0(b)
| p1(a,b,a) ),
inference(resolve,[status(thm)],[c_240,c_404]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_490,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
fof(axiom_9,axiom,
r0(b),
file('theBenchmark.p',axiom_9) ).
cnf(c_493,plain,
r0(b),
inference(clausify,[status(thm)],[axiom_9]) ).
cnf(c_604,plain,
p1(a,b,a),
inference(resolve,[status(thm)],[c_493,c_405]) ).
cnf(c_628,plain,
( ~ r3(E,e,e)
| ~ l1(D,C)
| ~ p1(A,B,C) ),
inference(resolve,[status(thm)],[c_172,c_133]) ).
cnf(c_831,plain,
q1(A,a,A),
inference(resolve,[status(thm)],[c_490,c_233]) ).
cnf(c_859,plain,
p2(A,a,A),
inference(resolve,[status(thm)],[c_831,c_366]) ).
cnf(c_924,plain,
( ~ r3(B,e,e)
| ~ l1(A,a) ),
inference(resolve,[status(thm)],[c_628,c_604]) ).
cnf(c_916,plain,
~ r3(A,e,e),
inference(resolve,[status(thm)],[c_924,c_260]) ).
cnf(c_922,plain,
~ p2(e,A,e),
inference(resolve,[status(thm)],[c_916,c_295]) ).
cnf(c_923,plain,
$false,
inference(resolve,[status(thm)],[c_922,c_859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN117-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n019.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sat Sep 26 17:12:48 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.36 % Process 1825832 was started by sandbox on n019,
% 0.11/0.36 % Sat Sep 26 17:12:48 2026
% 0.11/0.36 % 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).
% 0.76/0.50
% 0.76/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.76/0.50
% 0.76/0.50 % Proof 1 at 0.12 (+ 0.01) seconds.
% 0.76/0.50 % Length of proof is 28.
% 0.76/0.50 % Level of proof is 6.
% 0.76/0.50 % Maximum clause weight is 16.000.
% 0.76/0.50 % Given clauses 318.
% 0.76/0.50
% 0.76/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------