%------------------------------------------------------------------------------
% 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 : n008.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 : Theorem 53.99s 7.48s
% Output : Proof 53.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 19 ~; 18 |; 8 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X,Y,P] :
( connect(X,Y,P)
<=> once(at_the_same_time(at(X,P),at(Y,P))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_defn) ).
fof(f27_nnf,plain,
! [X,Y,P] :
( ( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) )
& ( once(at_the_same_time(at(X,P),at(Y,P)))
| ~ connect(X,Y,P) ) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X,Y,P] :
( ( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) )
& ( once(at_the_same_time(at(X,P),at(Y,P)))
| ~ connect(X,Y,P) ) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c96,plain,
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
fof(f36,conjecture,
! [X,Y,P] :
( connect(X,Y,P)
<=> connect(Y,X,P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12) ).
fof(f36_neg,negated_conjecture,
~ ! [X,Y,P] :
( connect(X,Y,P)
<=> connect(Y,X,P) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f36_nnf,plain,
? [X,Y,P] :
( ( connect(Y,X,P)
& ~ connect(X,Y,P) )
| ( ~ connect(Y,X,P)
& connect(X,Y,P) ) ),
inference(nnf_transformation,[status(thm)],[f36_neg]) ).
fof(f36_sk,plain,
( ( connect(sk27,sk26,sk28)
& ~ connect(sk26,sk27,sk28) )
| ( ~ connect(sk27,sk26,sk28)
& connect(sk26,sk27,sk28) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk26,sk27,sk28])],[f36_nnf]) ).
cnf(c111,plain,
( connect(sk27,sk26,sk28)
| connect(sk26,sk27,sk28) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(p2769,plain,
( connect(sk26,sk27,sk28)
| once(at_the_same_time(at(sk27,sk28),at(sk26,sk28))) ),
inference(resolution,[status(thm)],[c96,c111]) ).
fof(f28,axiom,
! [A,B] :
( once(at_the_same_time(A,B))
<=> once(at_the_same_time(B,A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_at_the_same_time) ).
fof(f28_nnf,plain,
! [A,B] :
( ( ~ once(at_the_same_time(B,A))
| once(at_the_same_time(A,B)) )
& ( once(at_the_same_time(B,A))
| ~ once(at_the_same_time(A,B)) ) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [A,B] :
( ( ~ once(at_the_same_time(B,A))
| once(at_the_same_time(A,B)) )
& ( once(at_the_same_time(B,A))
| ~ once(at_the_same_time(A,B)) ) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c98,plain,
( once(at_the_same_time(X1,X0))
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p2773,plain,
( once(at_the_same_time(at(sk26,sk28),at(sk27,sk28)))
| connect(sk26,sk27,sk28) ),
inference(resolution,[status(thm)],[p2769,c98]) ).
cnf(c97,plain,
( ~ once(at_the_same_time(at(X0,X2),at(X1,X2)))
| connect(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p2786,plain,
( connect(sk26,sk27,sk28)
| connect(sk26,sk27,sk28) ),
inference(resolution,[status(thm)],[p2773,c97]) ).
cnf(p2787,plain,
connect(sk26,sk27,sk28),
inference(factoring,[status(thm)],[p2786]) ).
cnf(p2788,plain,
once(at_the_same_time(at(sk26,sk28),at(sk27,sk28))),
inference(resolution,[status(thm)],[p2787,c96]) ).
cnf(p2792,plain,
once(at_the_same_time(at(sk27,sk28),at(sk26,sk28))),
inference(resolution,[status(thm)],[p2788,c98]) ).
cnf(p3018,plain,
connect(sk27,sk26,sk28),
inference(resolution,[status(thm)],[p2792,c97]) ).
cnf(c112,plain,
( ~ connect(sk26,sk27,sk28)
| ~ connect(sk27,sk26,sk28) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(p3058,plain,
~ connect(sk26,sk27,sk28),
inference(resolution,[status(thm)],[p3018,c112]) ).
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
% 0.09/0.38 % Computer : n008.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 11:09:11 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 53.99/7.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.99/7.48 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------