%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO146-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 01:17:09 PM UTC 2026
% Result : Unsatisfiable 29.56s 19.46s
% Output : Proof 29.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 44 ( 21 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f96,axiom,
( once(at_the_same_time(at(A,C),at(B,C)))
| ~ connect(A,B,C) ),
file('/export/starexec/sandbox2/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(f110,negated_conjecture,
( connect(sk28,sk27,sk29)
| connect(sk27,sk28,sk29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_156) ).
fof(f110_nnf,plain,
( connect(sk28,sk27,sk29)
| connect(sk27,sk28,sk29) ),
inference(nnf_transformation,[status(thm)],[f110]) ).
fof(f110_sk,plain,
( connect(sk28,sk27,sk29)
| connect(sk27,sk28,sk29) ),
inference(skolemisation,[status(esa)],[f110_nnf]) ).
cnf(c110,plain,
( connect(sk28,sk27,sk29)
| connect(sk27,sk28,sk29) ),
inference(cnf_transformation,[status(esa)],[f110_sk]) ).
cnf(p2769,plain,
( connect(sk27,sk28,sk29)
| once(at_the_same_time(at(sk28,sk29),at(sk27,sk29))) ),
inference(resolution,[status(thm)],[c96,c110]) ).
cnf(f98,axiom,
( once(at_the_same_time(B,A))
| ~ once(at_the_same_time(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_at_the_same_time_3) ).
fof(f98_nnf,plain,
! [A,B] :
( once(at_the_same_time(B,A))
| ~ once(at_the_same_time(A,B)) ),
inference(nnf_transformation,[status(thm)],[f98]) ).
fof(f98_sk,plain,
! [A,B] :
( once(at_the_same_time(B,A))
| ~ once(at_the_same_time(A,B)) ),
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c98,plain,
( once(at_the_same_time(X1,X0))
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
cnf(p2773,plain,
( once(at_the_same_time(at(sk27,sk29),at(sk28,sk29)))
| connect(sk27,sk28,sk29) ),
inference(resolution,[status(thm)],[p2769,c98]) ).
cnf(f97,axiom,
( connect(A,C,B)
| ~ once(at_the_same_time(at(A,B),at(C,B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_defn_2) ).
fof(f97_nnf,plain,
! [A,B,C] :
( connect(A,C,B)
| ~ once(at_the_same_time(at(A,B),at(C,B))) ),
inference(nnf_transformation,[status(thm)],[f97]) ).
fof(f97_sk,plain,
! [A,B,C] :
( connect(A,C,B)
| ~ once(at_the_same_time(at(A,B),at(C,B))) ),
inference(skolemisation,[status(esa)],[f97_nnf]) ).
cnf(c97,plain,
( connect(X0,X2,X1)
| ~ once(at_the_same_time(at(X0,X1),at(X2,X1))) ),
inference(cnf_transformation,[status(esa)],[f97_sk]) ).
cnf(p2786,plain,
( connect(sk27,sk28,sk29)
| connect(sk27,sk28,sk29) ),
inference(resolution,[status(thm)],[p2773,c97]) ).
cnf(p2787,plain,
connect(sk27,sk28,sk29),
inference(factoring,[status(thm)],[p2786]) ).
cnf(p2788,plain,
once(at_the_same_time(at(sk27,sk29),at(sk28,sk29))),
inference(resolution,[status(thm)],[p2787,c96]) ).
cnf(p2792,plain,
once(at_the_same_time(at(sk28,sk29),at(sk27,sk29))),
inference(resolution,[status(thm)],[p2788,c98]) ).
cnf(p3018,plain,
connect(sk28,sk27,sk29),
inference(resolution,[status(thm)],[p2792,c97]) ).
cnf(f113,negated_conjecture,
( ~ connect(sk27,sk28,sk29)
| ~ connect(sk28,sk27,sk29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_159) ).
fof(f113_nnf,plain,
( ~ connect(sk27,sk28,sk29)
| ~ connect(sk28,sk27,sk29) ),
inference(nnf_transformation,[status(thm)],[f113]) ).
fof(f113_sk,plain,
( ~ connect(sk27,sk28,sk29)
| ~ connect(sk28,sk27,sk29) ),
inference(skolemisation,[status(esa)],[f113_nnf]) ).
cnf(c113,plain,
( ~ connect(sk27,sk28,sk29)
| ~ connect(sk28,sk27,sk29) ),
inference(cnf_transformation,[status(esa)],[f113_sk]) ).
cnf(p3058,plain,
~ connect(sk27,sk28,sk29),
inference(resolution,[status(thm)],[p3018,c113]) ).
cnf(p3059,plain,
$false,
inference(resolution,[status(thm)],[p3058,p2787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO146-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/15.38 % Computer : n005.cluster.edu
% 0.10/15.38 % Model : x86_64 x86_64
% 0.10/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38 % Memory : 8046.5625MB
% 0.10/15.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.38 % CPULimit : 300
% 0.10/15.38 % WCLimit : 300
% 0.10/15.38 % DateTime : Wed Sep 23 11:08:32 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.56/19.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.56/19.46 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------