%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN264-1 : 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 : n007.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 09:37:25 AM UTC 2026
% Result : Unsatisfiable 0.88s 0.52s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 7 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_26,axiom,
n0(d,c),
file('theBenchmark.p',axiom_26) ).
cnf(c_5,plain,
n0(d,c),
inference(clausify,[status(thm)],[axiom_26]) ).
fof(rule_063,axiom,
! [VAR_0,VAR_1] :
( ~ k0(VAR_1)
| ~ n0(d,VAR_0)
| p1(VAR_0,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_063) ).
cnf(c_15,plain,
( ~ k0(B)
| ~ n0(d,A)
| p1(A,A,B) ),
inference(clausify,[status(thm)],[rule_063]) ).
cnf(c_242,plain,
( ~ k0(A)
| p1(c,c,A) ),
inference(resolve,[status(thm)],[c_15,c_5]) ).
fof(prove_this,axiom,
~ p1(e,c,e),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ p1(e,c,e),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_071,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ s0(b)
| ~ p1(VAR_1,VAR_3,VAR_0)
| ~ l0(VAR_2)
| p1(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_071) ).
cnf(c_416,plain,
( ~ s0(b)
| ~ p1(B,D,A)
| ~ l0(C)
| p1(A,B,A) ),
inference(clausify,[status(thm)],[rule_071]) ).
fof(axiom_28,axiom,
k0(e),
file('theBenchmark.p',axiom_28) ).
cnf(c_477,plain,
k0(e),
inference(clausify,[status(thm)],[axiom_28]) ).
fof(axiom_20,axiom,
l0(a),
file('theBenchmark.p',axiom_20) ).
cnf(c_484,plain,
l0(a),
inference(clausify,[status(thm)],[axiom_20]) ).
fof(axiom_5,axiom,
s0(b),
file('theBenchmark.p',axiom_5) ).
cnf(c_494,plain,
s0(b),
inference(clausify,[status(thm)],[axiom_5]) ).
cnf(c_609,plain,
( ~ p1(B,D,A)
| ~ l0(C)
| p1(A,B,A) ),
inference(resolve,[status(thm)],[c_494,c_416]) ).
cnf(c_717,plain,
p1(c,c,e),
inference(resolve,[status(thm)],[c_477,c_242]) ).
cnf(c_869,plain,
( ~ p1(c,B,e)
| ~ l0(A) ),
inference(resolve,[status(thm)],[c_609,c_264]) ).
cnf(c_867,plain,
~ p1(c,A,e),
inference(resolve,[status(thm)],[c_869,c_484]) ).
cnf(c_868,plain,
$false,
inference(resolve,[status(thm)],[c_867,c_717]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 17:25:24 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 68693 was started by sandbox2 on n007,
% 0.10/0.38 % Sat Sep 26 17:25:24 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.39
% 0.10/0.39 % From the command line: assign(max_seconds, 300).
% 0.88/0.52
% 0.88/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.88/0.52
% 0.88/0.52 % Proof 1 at 0.11 (+ 0.02) seconds.
% 0.88/0.52 % Length of proof is 12.
% 0.88/0.52 % Level of proof is 3.
% 0.88/0.52 % Maximum clause weight is 17.000.
% 0.88/0.52 % Given clauses 308.
% 0.88/0.52
% 0.88/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------