%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO148-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 : Fri Sep 25 01:17:11 PM UTC 2026
% Result : Unsatisfiable 6.68s 1.35s
% Output : Proof 6.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 29 unt; 0 def)
% Number of atoms : 85 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 54 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 90 ( 6 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f96,axiom,
( once(at_the_same_time(at(A,C),at(B,C)))
| ~ connect(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn_1) ).
fof(f96_nnf,plain,
! [A,B,C] :
( once(at_the_same_time(at(A,C),at(B,C)))
| ~ connect(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f96]) ).
fof(f96_sk,plain,
! [A,B,C] :
( once(at_the_same_time(at(A,C),at(B,C)))
| ~ connect(A,B,C) ),
inference(skolemisation,[status(esa)],[f96_nnf]) ).
cnf(c96,plain,
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
cnf(hi81,axiom,
ifeq(connect(X0,X1,X2),true,once(at_the_same_time(at(X0,X2),at(X1,X2))),true) = true,
inference(equality_encoding,[status(esa)],[c96]) ).
cnf(f110,negated_conjecture,
connect(sk28,sk29,sk27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_156) ).
fof(f110_nnf,plain,
connect(sk28,sk29,sk27),
inference(nnf_transformation,[status(thm)],[f110]) ).
cnf(c110,plain,
connect(sk28,sk29,sk27),
inference(cnf_transformation,[status(esa)],[f110_nnf]) ).
cnf(hi94,negated_conjecture,
connect(sk28,sk29,sk27) = true,
inference(equality_encoding,[status(esa)],[c110]) ).
cnf(h5,plain,
once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))) = true,
inference(hyper_resolution,[status(thm)],[hi81,hi94]) ).
cnf(f108,axiom,
( ~ ordered_by(trajectory_of(C),F,D)
| ~ ordered_by(trajectory_of(A),B,E)
| ~ once(at_the_same_time(at(A,E),at(C,F)))
| ~ once(at_the_same_time(at(A,B),at(C,D))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homogeneous_behaviour_13) ).
fof(f108_nnf,plain,
! [A,B,C,D,E,F] :
( ~ ordered_by(trajectory_of(C),F,D)
| ~ ordered_by(trajectory_of(A),B,E)
| ~ once(at_the_same_time(at(A,E),at(C,F)))
| ~ once(at_the_same_time(at(A,B),at(C,D))) ),
inference(nnf_transformation,[status(thm)],[f108]) ).
fof(f108_sk,plain,
! [A,B,C,D,E,F] :
( ~ ordered_by(trajectory_of(C),F,D)
| ~ ordered_by(trajectory_of(A),B,E)
| ~ once(at_the_same_time(at(A,E),at(C,F)))
| ~ once(at_the_same_time(at(A,B),at(C,D))) ),
inference(skolemisation,[status(esa)],[f108_nnf]) ).
cnf(c108,plain,
( ~ ordered_by(trajectory_of(X2),X5,X3)
| ~ ordered_by(trajectory_of(X0),X1,X4)
| ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ once(at_the_same_time(at(X0,X1),at(X2,X3))) ),
inference(cnf_transformation,[status(esa)],[f108_sk]) ).
cnf(hi102,axiom,
ifeq(once(at_the_same_time(at(X0,X1),at(X2,X3))),true,ifeq(once(at_the_same_time(at(X0,X4),at(X2,X5))),true,ifeq(ordered_by(trajectory_of(X0),X1,X4),true,ifeq(ordered_by(trajectory_of(X2),X5,X3),true,false,true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c108]) ).
cnf(f113,negated_conjecture,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_159) ).
fof(f113_nnf,plain,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
inference(nnf_transformation,[status(thm)],[f113]) ).
cnf(c113,plain,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
inference(cnf_transformation,[status(esa)],[f113_nnf]) ).
cnf(hi97,negated_conjecture,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))) = true,
inference(equality_encoding,[status(esa)],[c113]) ).
cnf(f112,negated_conjecture,
ordered_by(trajectory_of(sk28),sk27,sk30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_158) ).
fof(f112_nnf,plain,
ordered_by(trajectory_of(sk28),sk27,sk30),
inference(nnf_transformation,[status(thm)],[f112]) ).
cnf(c112,plain,
ordered_by(trajectory_of(sk28),sk27,sk30),
inference(cnf_transformation,[status(esa)],[f112_nnf]) ).
cnf(hi96,negated_conjecture,
ordered_by(trajectory_of(sk28),sk27,sk30) = true,
inference(equality_encoding,[status(esa)],[c112]) ).
cnf(f111,negated_conjecture,
ordered_by(trajectory_of(sk29),sk31,sk27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_157) ).
fof(f111_nnf,plain,
ordered_by(trajectory_of(sk29),sk31,sk27),
inference(nnf_transformation,[status(thm)],[f111]) ).
cnf(c111,plain,
ordered_by(trajectory_of(sk29),sk31,sk27),
inference(cnf_transformation,[status(esa)],[f111_nnf]) ).
cnf(hi95,negated_conjecture,
ordered_by(trajectory_of(sk29),sk31,sk27) = true,
inference(equality_encoding,[status(esa)],[c111]) ).
cnf(f107,axiom,
trajectory_of(A) = ax3_sk1(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trajectories_are_oriented_curves_12) ).
fof(f107_nnf,plain,
! [A] : trajectory_of(A) = ax3_sk1(A),
inference(nnf_transformation,[status(thm)],[f107]) ).
fof(f107_sk,plain,
! [A] : trajectory_of(A) = ax3_sk1(A),
inference(skolemisation,[status(esa)],[f107_nnf]) ).
cnf(c107,plain,
trajectory_of(X0) = ax3_sk1(X0),
inference(cnf_transformation,[status(esa)],[f107_sk]) ).
cnf(hi91,axiom,
trajectory_of(X0) = ax3_sk1(X0),
inference(equality_encoding,[status(esa)],[c107]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi102,h5,hi97,hi96,hi95,hi91]) ).
cnf(t1080,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f21,axiom,
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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(f48,axiom,
( B != D
| ~ between_c(A,B,C,D) ),
file('/export/starexec/sandbox/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(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c21,c30,c41,c48,c108]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1080]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO148-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.37 % Computer : n015.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Wed Sep 23 11:12:39 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.68/1.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.68/1.35 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------