%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO080-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n004.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 12.80s 2.12s
% Output : Proof 12.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 24 unt; 0 def)
% Number of atoms : 64 ( 23 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 54 ( 34 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 56 ( 4 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,axiom,
( part_of(A,B)
| ~ incident_c(ax0_sk1(A,B),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_3) ).
fof(f2_nnf,plain,
! [A,B] :
( part_of(A,B)
| ~ incident_c(ax0_sk1(A,B),B) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B] :
( part_of(A,B)
| ~ incident_c(ax0_sk1(A,B),B) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t24,plain,
ifeq(incident_c(ax0_sk1(X1,X2),X2),true,part_of(X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t79,plain,
ifeq(incident_c(ax0_sk1(X1,X2),X2),true,part_of(X1,X2),true) = true,
inference(orient,[status(thm)],[t24]) ).
cnf(f1,axiom,
( part_of(A,B)
| incident_c(ax0_sk1(A,B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_2) ).
fof(f1_nnf,plain,
! [A,B] :
( part_of(A,B)
| incident_c(ax0_sk1(A,B),A) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B] :
( part_of(A,B)
| incident_c(ax0_sk1(A,B),A) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t19,plain,
or(incident_c(ax0_sk1(X1,X2),X1),part_of(X1,X2)) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t105,plain,
or(incident_c(ax0_sk1(X1,X2),X1),part_of(X1,X2)) = true,
inference(orient,[status(thm)],[t19]) ).
cnf(f48,negated_conjecture,
~ part_of(sk14,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_reflexivity) ).
fof(f48_nnf,plain,
~ part_of(sk14,sk14),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
~ part_of(sk14,sk14),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
~ part_of(sk14,sk14),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(t7,plain,
part_of(sk14,sk14) = false,
inference(equality_encoding,[status(esa)],[c48]) ).
cnf(t128,plain,
part_of(sk14,sk14) = false,
inference(orient,[status(thm)],[t7]) ).
cnf(t129,plain,
true = or(incident_c(ax0_sk1(sk14,sk14),sk14),false),
inference(cp,[status(thm)],[t105,t128]) ).
cnf(t3,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t61,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t227,plain,
true = incident_c(ax0_sk1(sk14,sk14),sk14),
inference(step,[status(thm)],[t129,t61]) ).
cnf(t180,plain,
incident_c(ax0_sk1(sk14,sk14),sk14) = true,
inference(orient,[status(thm)],[t227]) ).
cnf(t189,plain,
true = ifeq(true,true,part_of(sk14,sk14),true),
inference(cp,[status(thm)],[t79,t180]) ).
cnf(t9,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t58,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t9]) ).
cnf(t228,plain,
true = part_of(sk14,sk14),
inference(step,[status(thm)],[t189,t58]) ).
cnf(t229,plain,
true = false,
inference(step,[status(thm)],[t228,t128]) ).
cnf(t214,plain,
false = true,
inference(orient,[status(thm)],[t229]) ).
cnf(f21,axiom,
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn_22) ).
fof(f21_nnf,plain,
! [A,B] :
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [A,B] :
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(f30,axiom,
( ~ end_point(B,A)
| ~ closed(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn_31) ).
fof(f30_nnf,plain,
! [A,B] :
( ~ end_point(B,A)
| ~ closed(A) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [A,B] :
( ~ end_point(B,A)
| ~ closed(A) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ end_point(X1,X0)
| ~ closed(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(f41,axiom,
( A != ax0_sk11(A,B)
| ~ end_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6_42) ).
fof(f41_nnf,plain,
! [A,B] :
( A != ax0_sk11(A,B)
| ~ end_point(A,B) ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
! [A,B] :
( A != ax0_sk11(A,B)
| ~ end_point(A,B) ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c41,plain,
( X0 != ax0_sk11(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c21,c30,c41,c48]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t214]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO080-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 10:44:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.80/2.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.80/2.12 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------