%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO080-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 07:17:00 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_reflexivity,axiom,
~ part_of(sk14,sk14),
file('theBenchmark.p',prove_reflexivity) ).
cnf(c_23,plain,
~ part_of(sk14,sk14),
inference(clausify,[status(thm)],[prove_reflexivity]) ).
fof(part_of_defn_3,axiom,
! [VAR_0,VAR_1] :
( part_of(VAR_0,VAR_1)
| ~ incident_c(ax0_sk1(VAR_0,VAR_1),VAR_1) ),
file('theBenchmark.p',part_of_defn_3) ).
cnf(c_62,plain,
( part_of(A,B)
| ~ incident_c(ax0_sk1(A,B),B) ),
inference(clausify,[status(thm)],[part_of_defn_3]) ).
fof(part_of_defn_2,axiom,
! [VAR_0,VAR_1] :
( part_of(VAR_0,VAR_1)
| incident_c(ax0_sk1(VAR_0,VAR_1),VAR_0) ),
file('theBenchmark.p',part_of_defn_2) ).
cnf(c_63,plain,
( part_of(A,B)
| incident_c(ax0_sk1(A,B),A) ),
inference(clausify,[status(thm)],[part_of_defn_2]) ).
cnf(c_276,plain,
~ incident_c(ax0_sk1(sk14,sk14),sk14),
inference(resolve,[status(thm)],[c_62,c_23]) ).
cnf(c_282,plain,
incident_c(ax0_sk1(sk14,sk14),sk14),
inference(resolve,[status(thm)],[c_63,c_23]) ).
cnf(c_281,plain,
$false,
inference(resolve,[status(thm)],[c_276,c_282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO080-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n015.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Fri Sep 25 12:44:12 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.43 % Process 1371561 was started by sandbox2 on n015,
% 0.15/0.43 % Fri Sep 25 12:44:12 2026
% 0.15/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.44
% 0.15/0.44 % From the command line: assign(max_seconds, 300).
% 0.15/0.47
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47
% 0.15/0.47 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.15/0.47 % Length of proof is 5.
% 0.15/0.47 % Level of proof is 2.
% 0.15/0.47 % Maximum clause weight is 8.000.
% 0.15/0.47 % Given clauses 39.
% 0.15/0.47
% 0.15/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------