%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN200-1 : 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 : 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 09:37:17 AM UTC 2026
% Result : Unsatisfiable 0.87s 0.55s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 7 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,axiom,
~ s1(e),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ s1(e),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_126,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ s1(VAR_2)
| ~ q0(VAR_0,VAR_1)
| s1(VAR_0) ),
file('theBenchmark.p',rule_126) ).
cnf(c_376,plain,
( ~ s1(C)
| ~ q0(A,B)
| s1(A) ),
inference(clausify,[status(thm)],[rule_126]) ).
fof(rule_125,axiom,
! [VAR_0] :
( ~ p0(VAR_0,VAR_0)
| s1(VAR_0) ),
file('theBenchmark.p',rule_125) ).
cnf(c_377,plain,
( ~ p0(A,A)
| s1(A) ),
inference(clausify,[status(thm)],[rule_125]) ).
fof(axiom_17,axiom,
! [VAR_0] : q0(VAR_0,d),
file('theBenchmark.p',axiom_17) ).
cnf(c_487,plain,
q0(A,d),
inference(clausify,[status(thm)],[axiom_17]) ).
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]) ).
cnf(c_746,plain,
( ~ s1(B)
| ~ q0(e,A) ),
inference(resolve,[status(thm)],[c_376,c_264]) ).
cnf(c_743,plain,
~ s1(A),
inference(resolve,[status(thm)],[c_746,c_487]) ).
cnf(c_744,plain,
~ p0(A,A),
inference(resolve,[status(thm)],[c_743,c_377]) ).
cnf(c_745,plain,
$false,
inference(resolve,[status(thm)],[c_744,c_489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN200-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:20:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3714416 was started by sandbox2 on n014,
% 0.10/0.37 % Sat Sep 26 17:20:32 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.87/0.55
% 0.87/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.87/0.55
% 0.87/0.55 % Proof 1 at 0.14 (+ 0.02) seconds.
% 0.87/0.55 % Length of proof is 8.
% 0.87/0.55 % Level of proof is 3.
% 0.87/0.55 % Maximum clause weight is 12.000.
% 0.87/0.55 % Given clauses 252.
% 0.87/0.55
% 0.87/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------