%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO082-1 : 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 : 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 07:17:00 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.50s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 50 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 14 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(part_of_antisymmetry_69,axiom,
sk14 != sk15,
file('theBenchmark.p',part_of_antisymmetry_69) ).
cnf(c_23,plain,
sk14 != sk15,
inference(clausify,[status(thm)],[part_of_antisymmetry_69]) ).
cnf(c_24,plain,
sk15 != sk14,
inference(copy,[status(thm)],[c_23]) ).
fof(part_of_antisymmetry_68,axiom,
part_of(sk15,sk14),
file('theBenchmark.p',part_of_antisymmetry_68) ).
cnf(c_25,plain,
part_of(sk15,sk14),
inference(clausify,[status(thm)],[part_of_antisymmetry_68]) ).
fof(part_of_antisymmetry_67,axiom,
part_of(sk14,sk15),
file('theBenchmark.p',part_of_antisymmetry_67) ).
cnf(c_26,plain,
part_of(sk14,sk15),
inference(clausify,[status(thm)],[part_of_antisymmetry_67]) ).
fof(c9_48,axiom,
! [VAR_0,VAR_1] :
( VAR_1 = VAR_0
| ~ incident_c(ax0_sk13(VAR_0,VAR_1),VAR_1)
| ~ incident_c(ax0_sk13(VAR_0,VAR_1),VAR_0) ),
file('theBenchmark.p',c9_48) ).
cnf(c_27,plain,
( B = A
| ~ incident_c(ax0_sk13(A,B),B)
| ~ incident_c(ax0_sk13(A,B),A) ),
inference(clausify,[status(thm)],[c9_48]) ).
fof(c9_45,axiom,
! [VAR_0,VAR_1] :
( VAR_1 = VAR_0
| incident_c(ax0_sk13(VAR_0,VAR_1),VAR_0)
| incident_c(ax0_sk13(VAR_0,VAR_1),VAR_1) ),
file('theBenchmark.p',c9_45) ).
cnf(c_28,plain,
( B = A
| incident_c(ax0_sk13(A,B),A)
| incident_c(ax0_sk13(A,B),B) ),
inference(clausify,[status(thm)],[c9_45]) ).
fof(part_of_defn_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( incident_c(VAR_2,VAR_1)
| ~ incident_c(VAR_2,VAR_0)
| ~ part_of(VAR_0,VAR_1) ),
file('theBenchmark.p',part_of_defn_1) ).
cnf(c_67,plain,
( incident_c(C,B)
| ~ incident_c(C,A)
| ~ part_of(A,B) ),
inference(clausify,[status(thm)],[part_of_defn_1]) ).
cnf(c_297,plain,
( incident_c(A,sk15)
| ~ incident_c(A,sk14) ),
inference(resolve,[status(thm)],[c_67,c_26]) ).
cnf(c_298,plain,
( incident_c(A,sk14)
| ~ incident_c(A,sk15) ),
inference(resolve,[status(thm)],[c_67,c_25]) ).
cnf(c_582,plain,
( A = sk14
| incident_c(ax0_sk13(sk14,A),A)
| incident_c(ax0_sk13(sk14,A),sk15) ),
inference(resolve,[status(thm)],[c_297,c_28]) ).
cnf(c_347,plain,
( sk14 = A
| incident_c(ax0_sk13(sk14,A),A)
| incident_c(ax0_sk13(sk14,A),sk15) ),
inference(copy,[status(thm)],[c_582]) ).
cnf(c_583,plain,
( sk14 = sk15
| incident_c(ax0_sk13(sk14,sk15),sk15) ),
inference(factor,[status(thm)],[c_347]) ).
cnf(c_584,plain,
( sk15 = sk14
| incident_c(ax0_sk13(sk14,sk15),sk15) ),
inference(copy,[status(thm)],[c_583]) ).
cnf(c_360,plain,
incident_c(ax0_sk13(sk14,sk15),sk15),
inference(resolve,[status(thm)],[c_24,c_584]) ).
cnf(c_370,plain,
( sk15 = A
| incident_c(ax0_sk13(A,sk15),A)
| incident_c(ax0_sk13(A,sk15),sk14) ),
inference(resolve,[status(thm)],[c_298,c_28]) ).
cnf(c_585,plain,
( sk15 = sk14
| incident_c(ax0_sk13(sk14,sk15),sk14) ),
inference(factor,[status(thm)],[c_370]) ).
cnf(c_383,plain,
incident_c(ax0_sk13(sk14,sk15),sk14),
inference(resolve,[status(thm)],[c_24,c_585]) ).
cnf(c_586,plain,
( sk15 = sk14
| ~ incident_c(ax0_sk13(sk14,sk15),sk14) ),
inference(resolve,[status(thm)],[c_360,c_27]) ).
cnf(c_587,plain,
sk15 = sk14,
inference(resolve,[status(thm)],[c_383,c_586]) ).
cnf(c_581,plain,
$false,
inference(resolve,[status(thm)],[c_24,c_587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n014.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Fri Sep 25 12:40:33 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35 % Process 246063 was started by sandbox2 on n014,
% 0.09/0.35 % Fri Sep 25 12:40:33 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.50
% 0.12/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.50
% 0.12/0.50 % Proof 1 at 0.11 (+ 0.02) seconds.
% 0.12/0.50 % Length of proof is 14.
% 0.12/0.50 % Level of proof is 4.
% 0.12/0.50 % Maximum clause weight is 23.000.
% 0.12/0.50 % Given clauses 100.
% 0.12/0.50
% 0.12/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------