%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 : Fri Sep 25 01:16:59 PM UTC 2026
% Result : Unsatisfiable 34.91s 5.43s
% Output : Proof 34.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 66 ( 21 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 58 ( 24 ~; 34 |; 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 : 31 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f44,axiom,
( B = A
| incident_c(ax0_sk13(A,B),A)
| incident_c(ax0_sk13(A,B),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9_45) ).
fof(f44_nnf,plain,
! [A,B] :
( B = A
| incident_c(ax0_sk13(A,B),A)
| incident_c(ax0_sk13(A,B),B) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [A,B] :
( B = A
| incident_c(ax0_sk13(A,B),A)
| incident_c(ax0_sk13(A,B),B) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( X1 = X0
| incident_c(ax0_sk13(X0,X1),X0)
| incident_c(ax0_sk13(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(f0,axiom,
( incident_c(C,B)
| ~ incident_c(C,A)
| ~ part_of(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_1) ).
fof(f0_nnf,plain,
! [A,B,C] :
( incident_c(C,B)
| ~ incident_c(C,A)
| ~ part_of(A,B) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B,C] :
( incident_c(C,B)
| ~ incident_c(C,A)
| ~ part_of(A,B) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f48,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_67) ).
fof(f48_nnf,plain,
part_of(sk14,sk15),
inference(nnf_transformation,[status(thm)],[f48]) ).
cnf(c48,plain,
part_of(sk14,sk15),
inference(cnf_transformation,[status(esa)],[f48_nnf]) ).
cnf(p51,plain,
( incident_c(X0,sk15)
| ~ incident_c(X0,sk14) ),
inference(resolution,[status(thm)],[c0,c48]) ).
cnf(p1021,plain,
( incident_c(ax0_sk13(X0,sk14),sk15)
| sk14 = X0
| incident_c(ax0_sk13(X0,sk14),X0) ),
inference(resolution,[status(thm)],[c44,p51]) ).
cnf(p14682,plain,
( sk14 = sk15
| incident_c(ax0_sk13(sk15,sk14),sk15) ),
inference(factoring,[status(thm)],[p1021]) ).
cnf(f47,axiom,
( B = A
| ~ incident_c(ax0_sk13(A,B),B)
| ~ incident_c(ax0_sk13(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9_48) ).
fof(f47_nnf,plain,
! [A,B] :
( B = A
| ~ incident_c(ax0_sk13(A,B),B)
| ~ incident_c(ax0_sk13(A,B),A) ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
! [A,B] :
( B = A
| ~ incident_c(ax0_sk13(A,B),B)
| ~ incident_c(ax0_sk13(A,B),A) ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c47,plain,
( X1 = X0
| ~ incident_c(ax0_sk13(X0,X1),X1)
| ~ incident_c(ax0_sk13(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(p14729,plain,
( sk14 = sk15
| ~ incident_c(ax0_sk13(sk15,sk14),sk14)
| sk14 = sk15 ),
inference(resolution,[status(thm)],[p14682,c47]) ).
cnf(p14794,plain,
( ~ incident_c(ax0_sk13(sk15,sk14),sk14)
| sk14 = sk15 ),
inference(factoring,[status(thm)],[p14729]) ).
cnf(f49,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_68) ).
fof(f49_nnf,plain,
part_of(sk15,sk14),
inference(nnf_transformation,[status(thm)],[f49]) ).
cnf(c49,plain,
part_of(sk15,sk14),
inference(cnf_transformation,[status(esa)],[f49_nnf]) ).
cnf(p52,plain,
( incident_c(X0,sk14)
| ~ incident_c(X0,sk15) ),
inference(resolution,[status(thm)],[c0,c49]) ).
cnf(p14718,plain,
( incident_c(ax0_sk13(sk15,sk14),sk14)
| sk14 = sk15 ),
inference(resolution,[status(thm)],[p14682,p52]) ).
cnf(p14800,plain,
( sk14 = sk15
| sk14 = sk15 ),
inference(resolution,[status(thm)],[p14794,p14718]) ).
cnf(p14801,plain,
sk14 = sk15,
inference(factoring,[status(thm)],[p14800]) ).
cnf(f50,negated_conjecture,
sk14 != sk15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry_69) ).
fof(f50_nnf,plain,
sk14 != sk15,
inference(nnf_transformation,[status(thm)],[f50]) ).
fof(f50_sk,plain,
sk14 != sk15,
inference(skolemisation,[status(esa)],[f50_nnf]) ).
cnf(c50,plain,
sk14 != sk15,
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(p14802,plain,
$false,
inference(resolution,[status(thm)],[p14801,c50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Wed Sep 23 10:45:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 34.91/5.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.91/5.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------