%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN218-1 : 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 : n009.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 09:37:19 AM UTC 2026
% Result : Unsatisfiable 0.89s 0.62s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 19 ( 5 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,axiom,
! [VAR_0] : ~ l2(c,VAR_0),
file('theBenchmark.p',prove_this) ).
cnf(c_261,plain,
~ l2(c,A),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_133,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ m0(VAR_3,VAR_2,VAR_0)
| ~ s1(VAR_2)
| ~ p0(VAR_1,VAR_1)
| l2(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_133) ).
cnf(c_367,plain,
( ~ m0(D,C,A)
| ~ s1(C)
| ~ p0(B,B)
| l2(A,A) ),
inference(clausify,[status(thm)],[rule_133]) ).
fof(rule_125,axiom,
! [VAR_0] :
( ~ p0(VAR_0,VAR_0)
| s1(VAR_0) ),
file('theBenchmark.p',rule_125) ).
cnf(c_374,plain,
( ~ p0(A,A)
| s1(A) ),
inference(clausify,[status(thm)],[rule_125]) ).
fof(axiom_27,axiom,
m0(e,b,c),
file('theBenchmark.p',axiom_27) ).
cnf(c_475,plain,
m0(e,b,c),
inference(clausify,[status(thm)],[axiom_27]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_486,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
cnf(c_721,plain,
s1(b),
inference(resolve,[status(thm)],[c_374,c_486]) ).
cnf(c_729,plain,
( ~ m0(C,B,c)
| ~ s1(B)
| ~ p0(A,A) ),
inference(resolve,[status(thm)],[c_367,c_261]) ).
cnf(c_730,plain,
( ~ m0(B,A,c)
| ~ s1(A) ),
inference(resolve,[status(thm)],[c_729,c_486]) ).
cnf(c_731,plain,
~ s1(b),
inference(resolve,[status(thm)],[c_730,c_475]) ).
cnf(c_728,plain,
$false,
inference(resolve,[status(thm)],[c_721,c_731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN218-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n009.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 17:22:45 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.42 % Process 710176 was started by sandbox2 on n009,
% 0.17/0.42 % Sat Sep 26 17:22:45 2026
% 0.17/0.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 0.89/0.62
% 0.89/0.62 % SZS status Unsatisfiable for theBenchmark
% 0.89/0.62
% 0.89/0.62 % Proof 1 at 0.14 (+ 0.01) seconds.
% 0.89/0.62 % Length of proof is 7.
% 0.89/0.62 % Level of proof is 2.
% 0.89/0.62 % Maximum clause weight is 17.000.
% 0.89/0.62 % Given clauses 256.
% 0.89/0.62
% 0.89/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------