%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN125-1 : 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 : n010.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 09:37:06 AM UTC 2026
% Result : Unsatisfiable 0.63s 0.53s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,axiom,
~ l3(e,c),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ l3(e,c),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_215,axiom,
! [VAR_0,VAR_1] :
( ~ p2(VAR_0,VAR_1,VAR_0)
| ~ r0(VAR_0)
| l3(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_215) ).
cnf(c_315,plain,
( ~ p2(A,B,A)
| ~ r0(A)
| l3(A,B) ),
inference(clausify,[status(thm)],[rule_215]) ).
fof(rule_176,axiom,
! [VAR_0,VAR_1] :
( ~ m1(VAR_1,VAR_0,VAR_1)
| p2(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_176) ).
cnf(c_335,plain,
( ~ m1(B,A,B)
| p2(A,B,A) ),
inference(clausify,[status(thm)],[rule_176]) ).
fof(rule_021,axiom,
! [VAR_0,VAR_1] :
( ~ k0(VAR_1)
| ~ l0(VAR_0)
| m1(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_021) ).
cnf(c_458,plain,
( ~ k0(B)
| ~ l0(A)
| m1(A,B,A) ),
inference(clausify,[status(thm)],[rule_021]) ).
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_24,axiom,
l0(c),
file('theBenchmark.p',axiom_24) ).
cnf(c_480,plain,
l0(c),
inference(clausify,[status(thm)],[axiom_24]) ).
fof(axiom_13,axiom,
r0(e),
file('theBenchmark.p',axiom_13) ).
cnf(c_490,plain,
r0(e),
inference(clausify,[status(thm)],[axiom_13]) ).
cnf(c_916,plain,
( ~ p2(e,c,e)
| ~ r0(e) ),
inference(resolve,[status(thm)],[c_315,c_264]) ).
cnf(c_676,plain,
~ p2(e,c,e),
inference(resolve,[status(thm)],[c_490,c_916]) ).
cnf(c_917,plain,
( ~ k0(A)
| m1(c,A,c) ),
inference(resolve,[status(thm)],[c_458,c_480]) ).
cnf(c_758,plain,
m1(c,e,c),
inference(resolve,[status(thm)],[c_917,c_477]) ).
cnf(c_918,plain,
~ m1(c,e,c),
inference(resolve,[status(thm)],[c_676,c_335]) ).
cnf(c_915,plain,
$false,
inference(resolve,[status(thm)],[c_758,c_918]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN125-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 17:13:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.39 % Process 3790355 was started by sandbox2 on n010,
% 0.10/0.39 % Sat Sep 26 17:13:31 2026
% 0.10/0.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.40
% 0.10/0.40 % From the command line: assign(max_seconds, 300).
% 0.63/0.53
% 0.63/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.63/0.53
% 0.63/0.53 % Proof 1 at 0.11 (+ 0.01) seconds.
% 0.63/0.53 % Length of proof is 10.
% 0.63/0.53 % Level of proof is 2.
% 0.63/0.53 % Maximum clause weight is 14.000.
% 0.63/0.53 % Given clauses 319.
% 0.63/0.53
% 0.63/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------