%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO125-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 01:17:06 PM UTC 2026
% Result : Unsatisfiable 35.91s 15.11s
% Output : Proof 35.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 15 unt; 0 def)
% Number of atoms : 90 ( 26 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 87 ( 41 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 74 ( 6 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f77,axiom,
( between_c(ax2_sk4(A,D,C,B),B,C,D)
| ~ between_o(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3_24) ).
fof(f77_nnf,plain,
! [A,B,C,D] :
( between_c(ax2_sk4(A,D,C,B),B,C,D)
| ~ between_o(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f77]) ).
fof(f77_sk,plain,
! [A,B,C,D] :
( between_c(ax2_sk4(A,D,C,B),B,C,D)
| ~ between_o(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f77_nnf]) ).
cnf(c77,plain,
( between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3)
| ~ between_o(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f77_sk]) ).
cnf(f66,axiom,
( ordered_by(B,C,A)
| ~ incident_o(C,B)
| A = C
| ~ finish_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn_13) ).
fof(f66_nnf,plain,
! [A,B,C] :
( ordered_by(B,C,A)
| ~ incident_o(C,B)
| A = C
| ~ finish_point(A,B) ),
inference(nnf_transformation,[status(thm)],[f66]) ).
fof(f66_sk,plain,
! [A,B,C] :
( ordered_by(B,C,A)
| ~ incident_o(C,B)
| A = C
| ~ finish_point(A,B) ),
inference(skolemisation,[status(esa)],[f66_nnf]) ).
cnf(c66,plain,
( ordered_by(X1,X2,X0)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ finish_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f66_sk]) ).
cnf(f96,negated_conjecture,
finish_point(sk26,sk25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2_133) ).
fof(f96_nnf,plain,
finish_point(sk26,sk25),
inference(nnf_transformation,[status(thm)],[f96]) ).
cnf(c96,plain,
finish_point(sk26,sk25),
inference(cnf_transformation,[status(esa)],[f96_nnf]) ).
cnf(p1706,plain,
( ordered_by(sk25,X0,sk26)
| ~ incident_o(X0,sk25)
| sk26 = X0 ),
inference(resolution,[status(thm)],[c66,c96]) ).
cnf(f65,axiom,
( incident_o(A,B)
| ~ finish_point(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn_12) ).
fof(f65_nnf,plain,
! [A,B] :
( incident_o(A,B)
| ~ finish_point(A,B) ),
inference(nnf_transformation,[status(thm)],[f65]) ).
fof(f65_sk,plain,
! [A,B] :
( incident_o(A,B)
| ~ finish_point(A,B) ),
inference(skolemisation,[status(esa)],[f65_nnf]) ).
cnf(c65,plain,
( incident_o(X0,X1)
| ~ finish_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(f97,negated_conjecture,
finish_point(sk27,sk25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2_134) ).
fof(f97_nnf,plain,
finish_point(sk27,sk25),
inference(nnf_transformation,[status(thm)],[f97]) ).
cnf(c97,plain,
finish_point(sk27,sk25),
inference(cnf_transformation,[status(esa)],[f97_nnf]) ).
cnf(p112,plain,
incident_o(sk27,sk25),
inference(resolution,[status(thm)],[c65,c97]) ).
cnf(p1709,plain,
( ordered_by(sk25,sk27,sk26)
| sk26 = sk27 ),
inference(resolution,[status(thm)],[p1706,p112]) ).
cnf(f58,axiom,
( between_o(A,B,C,D)
| ~ ordered_by(A,C,D)
| ~ ordered_by(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn_5) ).
fof(f58_nnf,plain,
! [A,B,C,D] :
( between_o(A,B,C,D)
| ~ ordered_by(A,C,D)
| ~ ordered_by(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
! [A,B,C,D] :
( between_o(A,B,C,D)
| ~ ordered_by(A,C,D)
| ~ ordered_by(A,B,C) ),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
( between_o(X0,X1,X2,X3)
| ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(p1730,plain,
( between_o(sk25,sk27,sk26,X0)
| ~ ordered_by(sk25,sk26,X0)
| sk26 = sk27 ),
inference(resolution,[status(thm)],[p1709,c58]) ).
cnf(p1707,plain,
( ordered_by(sk25,X0,sk27)
| ~ incident_o(X0,sk25)
| sk27 = X0 ),
inference(resolution,[status(thm)],[c66,c97]) ).
cnf(p111,plain,
incident_o(sk26,sk25),
inference(resolution,[status(thm)],[c65,c96]) ).
cnf(p1735,plain,
( ordered_by(sk25,sk26,sk27)
| sk27 = sk26 ),
inference(resolution,[status(thm)],[p1707,p111]) ).
cnf(p1853,plain,
( sk27 = sk26
| between_o(sk25,sk27,sk26,sk27)
| sk26 = sk27 ),
inference(resolution,[status(thm)],[p1730,p1735]) ).
cnf(p1869,plain,
( sk27 = sk26
| sk26 = sk27
| between_c(ax2_sk4(sk25,sk27,sk26,sk27),sk27,sk26,sk27) ),
inference(resolution,[status(thm)],[c77,p1853]) ).
cnf(f48,axiom,
( B != D
| ~ between_c(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_1) ).
fof(f48_nnf,plain,
! [A,B,C,D] :
( B != D
| ~ between_c(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
! [A,B,C,D] :
( B != D
| ~ between_c(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(p135,plain,
~ between_c(X0,X1,X2,X1),
inference(equality_resolution,[status(thm)],[c48]) ).
cnf(p1948,plain,
( sk27 = sk26
| sk26 = sk27 ),
inference(resolution,[status(thm)],[p1869,p135]) ).
cnf(f98,negated_conjecture,
sk26 != sk27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2_135) ).
fof(f98_nnf,plain,
sk26 != sk27,
inference(nnf_transformation,[status(thm)],[f98]) ).
fof(f98_sk,plain,
sk26 != sk27,
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c98,plain,
sk26 != sk27,
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
cnf(p1949,plain,
( sk26 != sk26
| sk26 = sk27 ),
inference(superposition,[status(thm)],[p1948,c98]) ).
cnf(p2073,plain,
sk26 = sk27,
inference(equality_resolution,[status(thm)],[p1949]) ).
cnf(p2074,plain,
$false,
inference(resolution,[status(thm)],[p2073,c98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO125-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/10.38 % Computer : n026.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Wed Sep 23 11:03:49 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 35.91/15.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.91/15.11 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------