%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 : Thu Sep 24 08:39:36 AM UTC 2026
% Result : Theorem 30.25s 30.53s
% Output : Proof 30.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 97 ( 34 ~; 25 |; 32 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 55 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(connect_defn,axiom,
! [X,Y,P] :
( connect(X,Y,P)
<=> once(at_the_same_time(at(X,P),at(Y,P))) ),
file('GEO004+3.ax',connect_defn) ).
fof(homogeneous_behaviour,axiom,
! [P1,P2,Q1,Q2,X,Y] :
( ( once(at_the_same_time(at(X,Q1),at(Y,Q2)))
& once(at_the_same_time(at(X,P1),at(Y,P2))) )
=> ~ ( ordered_by(trajectory_of(Y),Q2,P2)
& ordered_by(trajectory_of(X),P1,Q1) ) ),
file('GEO004+3.ax',homogeneous_behaviour) ).
fof(t14,conjecture,
! [P,X,Y] :
( connect(X,Y,P)
=> ! [Q1,Q2] :
( ( ordered_by(trajectory_of(X),P,Q1)
& ordered_by(trajectory_of(Y),Q2,P) )
=> ~ once(at_the_same_time(at(X,Q1),at(Y,Q2))) ) ),
file('theBenchmark.p',t14) ).
fof(f_28_1,plain,
! [X,Y,P] :
( ( connect(X,Y,P)
| ~ once(at_the_same_time(at(X,P),at(Y,P))) )
& ( once(at_the_same_time(at(X,P),at(Y,P)))
| ~ connect(X,Y,P) ) ),
inference(fof_nnf,[status(thm)],[connect_defn]) ).
fof(f_28_2,plain,
! [U_195,U_194,U_193] :
( ( connect(U_195,U_194,U_193)
| ~ once(at_the_same_time(at(U_195,U_193),at(U_194,U_193))) )
& ( once(at_the_same_time(at(U_195,U_193),at(U_194,U_193)))
| ~ connect(U_195,U_194,U_193) ) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( ! [U_201,U_199,U_197] :
( connect(U_201,U_199,U_197)
| ~ once(at_the_same_time(at(U_201,U_197),at(U_199,U_197))) )
& ! [U_200,U_198,U_196] :
( once(at_the_same_time(at(U_200,U_196),at(U_198,U_196)))
| ~ connect(U_200,U_198,U_196) ) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
( ! [U_199,U_197,U_201] :
( connect(U_201,U_199,U_197)
| ~ once(at_the_same_time(at(U_201,U_197),at(U_199,U_197))) )
& ! [U_196,U_198,U_200] :
( once(at_the_same_time(at(U_200,U_196),at(U_198,U_196)))
| ~ connect(U_200,U_198,U_196) ) ),
inference(definitional_conversion,[status(esa)],[f_28_3]) ).
cnf(f_28_5,plain,
( once(at_the_same_time(at(U_200,U_196),at(U_198,U_196)))
| ~ connect(U_200,U_198,U_196) ),
inference(clausify,[status(thm)],[f_28_4]) ).
fof(f_35_1,plain,
! [P1,P2,Q1,Q2,X,Y] :
( ~ ordered_by(trajectory_of(Y),Q2,P2)
| ~ ordered_by(trajectory_of(X),P1,Q1)
| ~ once(at_the_same_time(at(X,Q1),at(Y,Q2)))
| ~ once(at_the_same_time(at(X,P1),at(Y,P2))) ),
inference(fof_nnf,[status(thm)],[homogeneous_behaviour]) ).
fof(f_35_2,plain,
! [U_233,U_232,U_231,U_230,U_229,U_228] :
( ~ ordered_by(trajectory_of(U_228),U_230,U_232)
| ~ ordered_by(trajectory_of(U_229),U_233,U_231)
| ~ once(at_the_same_time(at(U_229,U_231),at(U_228,U_230)))
| ~ once(at_the_same_time(at(U_229,U_233),at(U_228,U_232))) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
! [U_228,U_229,U_230,U_231,U_232,U_233] :
( ~ ordered_by(trajectory_of(U_228),U_230,U_232)
| ~ ordered_by(trajectory_of(U_229),U_233,U_231)
| ~ once(at_the_same_time(at(U_229,U_231),at(U_228,U_230)))
| ~ once(at_the_same_time(at(U_229,U_233),at(U_228,U_232))) ),
inference(definitional_conversion,[status(esa)],[f_35_2]) ).
cnf(f_35_4,plain,
( ~ ordered_by(trajectory_of(U_228),U_230,U_232)
| ~ ordered_by(trajectory_of(U_229),U_233,U_231)
| ~ once(at_the_same_time(at(U_229,U_231),at(U_228,U_230)))
| ~ once(at_the_same_time(at(U_229,U_233),at(U_228,U_232))) ),
inference(clausify,[status(thm)],[f_35_3]) ).
fof(f_37_1,negated_conjecture,
~ ! [P,X,Y] :
( connect(X,Y,P)
=> ! [Q1,Q2] :
( ( ordered_by(trajectory_of(X),P,Q1)
& ordered_by(trajectory_of(Y),Q2,P) )
=> ~ once(at_the_same_time(at(X,Q1),at(Y,Q2))) ) ),
inference(negate,[status(cth)],[t14]) ).
fof(f_37_2,negated_conjecture,
? [P,X,Y] :
( ? [Q1,Q2] :
( once(at_the_same_time(at(X,Q1),at(Y,Q2)))
& ordered_by(trajectory_of(X),P,Q1)
& ordered_by(trajectory_of(Y),Q2,P) )
& connect(X,Y,P) ),
inference(fof_nnf,[status(thm)],[f_37_1]) ).
fof(f_37_3,negated_conjecture,
? [U_241,U_240,U_239] :
( ? [U_238,U_237] :
( once(at_the_same_time(at(U_240,U_238),at(U_239,U_237)))
& ordered_by(trajectory_of(U_240),U_241,U_238)
& ordered_by(trajectory_of(U_239),U_237,U_241) )
& connect(U_240,U_239,U_241) ),
inference(variable_rename,[status(thm)],[f_37_2]) ).
fof(f_37_4,negated_conjecture,
? [U_240,U_239] :
( ? [U_238,U_237] :
( once(at_the_same_time(at(U_240,U_238),at(U_239,U_237)))
& ordered_by(trajectory_of(U_240),sK33,U_238)
& ordered_by(trajectory_of(U_239),U_237,sK33) )
& connect(U_240,U_239,sK33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_241,sK33)],[f_37_3]) ).
fof(f_37_5,negated_conjecture,
? [U_239] :
( ? [U_238,U_237] :
( once(at_the_same_time(at(sK34,U_238),at(U_239,U_237)))
& ordered_by(trajectory_of(sK34),sK33,U_238)
& ordered_by(trajectory_of(U_239),U_237,sK33) )
& connect(sK34,U_239,sK33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_240,sK34)],[f_37_4]) ).
fof(f_37_6,negated_conjecture,
( ? [U_238,U_237] :
( once(at_the_same_time(at(sK34,U_238),at(sK35,U_237)))
& ordered_by(trajectory_of(sK34),sK33,U_238)
& ordered_by(trajectory_of(sK35),U_237,sK33) )
& connect(sK34,sK35,sK33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_239,sK35)],[f_37_5]) ).
fof(f_37_7,negated_conjecture,
( ? [U_237] :
( once(at_the_same_time(at(sK34,sK36),at(sK35,U_237)))
& ordered_by(trajectory_of(sK34),sK33,sK36)
& ordered_by(trajectory_of(sK35),U_237,sK33) )
& connect(sK34,sK35,sK33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_238,sK36)],[f_37_6]) ).
fof(f_37_8,negated_conjecture,
( once(at_the_same_time(at(sK34,sK36),at(sK35,sK37)))
& ordered_by(trajectory_of(sK34),sK33,sK36)
& ordered_by(trajectory_of(sK35),sK37,sK33)
& connect(sK34,sK35,sK33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_237,sK37)],[f_37_7]) ).
fof(f_37_9,negated_conjecture,
( once(at_the_same_time(at(sK34,sK36),at(sK35,sK37)))
& ordered_by(trajectory_of(sK34),sK33,sK36)
& ordered_by(trajectory_of(sK35),sK37,sK33)
& connect(sK34,sK35,sK33) ),
inference(definitional_conversion,[status(esa)],[f_37_8]) ).
cnf(f_37_10,negated_conjecture,
connect(sK34,sK35,sK33),
inference(clausify,[status(thm)],[f_37_9]) ).
cnf(f_37_11,negated_conjecture,
ordered_by(trajectory_of(sK35),sK37,sK33),
inference(clausify,[status(thm)],[f_37_9]) ).
cnf(f_37_12,negated_conjecture,
ordered_by(trajectory_of(sK34),sK33,sK36),
inference(clausify,[status(thm)],[f_37_9]) ).
cnf(f_37_13,negated_conjecture,
once(at_the_same_time(at(sK34,sK36),at(sK35,sK37))),
inference(clausify,[status(thm)],[f_37_9]) ).
cnf(t1,plain,
connect(sK34,sK35,sK33),
inference(start,[status(thm),parent(0:0)],[f_37_10]) ).
cnf(t2,plain,
( once(at_the_same_time(at(sK34,sK33),at(sK35,sK33)))
| ~ connect(sK34,sK35,sK33) ),
inference(extension,[status(thm),parent(t1:1)],[f_28_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ once(at_the_same_time(at(sK34,sK36),at(sK35,sK37)))
| ~ ordered_by(trajectory_of(sK34),sK33,sK36)
| ~ ordered_by(trajectory_of(sK35),sK37,sK33)
| ~ once(at_the_same_time(at(sK34,sK33),at(sK35,sK33))) ),
inference(extension,[status(thm),parent(t2:2)],[f_35_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
ordered_by(trajectory_of(sK35),sK37,sK33),
inference(extension,[status(thm),parent(t4:2)],[f_37_11]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
ordered_by(trajectory_of(sK34),sK33,sK36),
inference(extension,[status(thm),parent(t4:3)],[f_37_12]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
once(at_the_same_time(at(sK34,sK36),at(sK35,sK37))),
inference(extension,[status(thm),parent(t4:4)],[f_37_13]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.02/0.35 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sat Sep 19 07:41:08 UTC 2026
% 0.02/0.36 % CPUTime :
% 30.25/30.53 % SZS status Theorem for theBenchmark
% 30.25/30.53 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------