%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU374+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:45:19 PM UTC 2025
% Result : Theorem 5.37s 1.02s
% Output : CNFRefutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 26 unt; 0 def)
% Number of atoms : 115 ( 15 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 114 ( 39 ~; 36 |; 8 &)
% ( 1 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 42 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t20_yellow_6,plain,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> ! [D] :
( element(D,the_carrier(B))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(C))
=> ! [G] :
( element(G,the_carrier(C))
=> ( ( D = F
& E = G
& related(C,F,G) )
=> related(B,D,E) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_yellow_6) ).
fof(t20_yellow_6_negated,plain,
~ ! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> ! [D] :
( element(D,the_carrier(B))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(C))
=> ! [G] :
( element(G,the_carrier(C))
=> ( ( D = F
& E = G
& related(C,F,G) )
=> related(B,D,E) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t20_yellow_6]) ).
cnf(66,plain,
one_sorted_str(sK19),
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l0,plain,
one_sorted_str(sK19),
inference(instantiation,[status(thm)],[66]) ).
fof(d8_yellow_6,plain,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( net_str(C,A)
=> ( subnetstr(C,A,B)
<=> ( subrelstr(C,B)
& the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_yellow_6) ).
cnf(5,plain,
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ net_str(X2,X0)
| ~ subnetstr(X2,X0,X1)
| subrelstr(X2,X1) ),
inference(cnf,[status(esa)],[d8_yellow_6]) ).
cnf(l1,plain,
( ~ one_sorted_str(sK19)
| ~ net_str(sK20,sK19)
| ~ net_str(sK21,sK19)
| ~ subnetstr(sK21,sK19,sK20)
| subrelstr(sK21,sK20) ),
inference(instantiation,[status(thm)],[5]) ).
fof(dt_m1_yellow_6,plain,
! [A,B] :
( ( one_sorted_str(A)
& net_str(B,A) )
=> ! [C] :
( subnetstr(C,A,B)
=> net_str(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
cnf(13,plain,
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ),
inference(cnf,[status(esa)],[dt_m1_yellow_6]) ).
cnf(l45,plain,
( ~ one_sorted_str(sK19)
| ~ net_str(sK20,sK19)
| ~ subnetstr(sK21,sK19,sK20)
| net_str(sK21,sK19) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(67,plain,
net_str(sK20,sK19),
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l2,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[67]) ).
cnf(68,plain,
subnetstr(sK21,sK19,sK20),
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l46,plain,
subnetstr(sK21,sK19,sK20),
inference(instantiation,[status(thm)],[68]) ).
cnf(l63,plain,
subnetstr(sK21,sK19,sK20),
inference(instantiation,[status(thm)],[68]) ).
fof(t60_yellow_0,plain,
! [A] :
( rel_str(A)
=> ! [B] :
( subrelstr(B,A)
=> ! [C] :
( element(C,the_carrier(A))
=> ! [D] :
( element(D,the_carrier(A))
=> ! [E] :
( element(E,the_carrier(B))
=> ! [F] :
( element(F,the_carrier(B))
=> ( ( E = C
& F = D
& related(B,E,F) )
=> related(A,C,D) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_yellow_0) ).
cnf(82,plain,
( X0 != X1
| X2 != X3
| ~ element(X1,the_carrier(X4))
| ~ element(X3,the_carrier(X4))
| ~ element(X0,the_carrier(X5))
| ~ element(X2,the_carrier(X5))
| ~ subrelstr(X5,X4)
| ~ rel_str(X4)
| ~ related(X5,X0,X2)
| related(X4,X1,X3) ),
inference(cnf,[status(esa)],[t60_yellow_0]) ).
cnf(l42,plain,
( sK24 != sK22
| sK25 != sK23
| ~ element(sK22,the_carrier(sK20))
| ~ element(sK23,the_carrier(sK20))
| ~ element(sK24,the_carrier(sK21))
| ~ element(sK25,the_carrier(sK21))
| ~ subrelstr(sK21,sK20)
| ~ rel_str(sK20)
| ~ related(sK21,sK24,sK25)
| related(sK20,sK22,sK23) ),
inference(instantiation,[status(thm)],[82]) ).
cnf(l65,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[67]) ).
cnf(70,plain,
element(sK23,the_carrier(sK20)),
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l124,plain,
element(sK23,the_carrier(sK20)),
inference(instantiation,[status(thm)],[70]) ).
cnf(72,plain,
element(sK25,the_carrier(sK21)),
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l127,plain,
element(sK25,the_carrier(sK21)),
inference(instantiation,[status(thm)],[72]) ).
fof(dt_l1_waybel_0,plain,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
cnf(11,plain,
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| rel_str(X1) ),
inference(cnf,[status(esa)],[dt_l1_waybel_0]) ).
cnf(l122,plain,
( ~ one_sorted_str(sK19)
| ~ net_str(sK20,sK19)
| rel_str(sK20) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(75,plain,
related(sK21,sK24,sK25),
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l137,plain,
related(sK21,sK24,sK25),
inference(instantiation,[status(thm)],[75]) ).
cnf(l132,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[67]) ).
cnf(76,plain,
~ related(sK20,sK22,sK23),
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l121,plain,
~ related(sK20,sK22,sK23),
inference(instantiation,[status(thm)],[76]) ).
cnf(74,plain,
sK23 = sK25,
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l126,plain,
sK23 = sK25,
inference(instantiation,[status(thm)],[74]) ).
cnf(71,plain,
element(sK24,the_carrier(sK21)),
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l128,plain,
element(sK24,the_carrier(sK21)),
inference(instantiation,[status(thm)],[71]) ).
cnf(73,plain,
sK22 = sK24,
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l161,plain,
sK22 = sK24,
inference(instantiation,[status(thm)],[73]) ).
cnf(69,plain,
element(sK22,the_carrier(sK20)),
inference(cnf,[status(esa)],[t20_yellow_6_negated]) ).
cnf(l43,plain,
element(sK22,the_carrier(sK20)),
inference(instantiation,[status(thm)],[69]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l45,l2,l46,l63,l42,l65,l124,l127,l122,l137,l132,l121,l126,l128,l161,l43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SEU374+1 : TPTP v9.0.0. Released v3.3.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 01:13:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 1.72/0.57 % launching worker at depth: 11
% 5.37/1.02 % SZS status Theorem for theBenchmark
% 5.37/1.02 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------