%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU107+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 03:44:29 PM UTC 2025
% Result : Theorem 4.20s 0.82s
% Output : CNFRefutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 21 unt; 0 def)
% Number of atoms : 72 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 23 |; 8 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 30 ( 1 sgn 16 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_finsub_1,plain,
! [A] :
( ( ~ empty(A)
& preboolean(A) )
=> in(empty_set,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_finsub_1) ).
fof(t18_finsub_1_negated,plain,
~ ! [A] :
( ( ~ empty(A)
& preboolean(A) )
=> in(empty_set,A) ),
inference(negate_conjecture,[status(cth)],[t18_finsub_1]) ).
cnf(42,plain,
~ empty(sK11),
inference(cnf,[status(esa)],[t18_finsub_1_negated]) ).
cnf(l0,plain,
~ empty(sK11),
inference(instantiation,[status(thm)],[42]) ).
fof(t2_subset,plain,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
cnf(46,plain,
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[t2_subset]) ).
cnf(l1,plain,
( ~ element(set_difference(sK1(sK11),sK1(sK11)),sK11)
| empty(sK11)
| in(set_difference(sK1(sK11),sK1(sK11)),sK11) ),
inference(instantiation,[status(thm)],[46]) ).
fof(dt_k2_finsub_1,plain,
! [A,B,C] :
( ( ~ empty(A)
& preboolean(A)
& element(B,A)
& element(C,A) )
=> element(prebool_difference(A,B,C),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_finsub_1) ).
cnf(6,plain,
( ~ preboolean(X0)
| ~ element(X1,X0)
| ~ element(X2,X0)
| empty(X0)
| element(prebool_difference(X0,X1,X2),X0) ),
inference(cnf,[status(esa)],[dt_k2_finsub_1]) ).
cnf(l33,plain,
( ~ preboolean(sK11)
| ~ element(sK1(sK11),sK11)
| ~ element(sK1(sK11),sK11)
| empty(sK11)
| element(prebool_difference(sK11,sK1(sK11),sK1(sK11)),sK11) ),
inference(instantiation,[status(thm)],[6]) ).
fof(existence_m1_subset_1,plain,
! [A] :
? [B] : element(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
cnf(7,plain,
element(sK1(X0),X0),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
cnf(l43,plain,
element(sK1(sK11),sK11),
inference(instantiation,[status(thm)],[7]) ).
cnf(l41,plain,
element(sK1(sK11),sK11),
inference(instantiation,[status(thm)],[7]) ).
cnf(43,plain,
preboolean(sK11),
inference(cnf,[status(esa)],[t18_finsub_1_negated]) ).
cnf(l42,plain,
preboolean(sK11),
inference(instantiation,[status(thm)],[43]) ).
fof(t3_boole,plain,
! [A] : set_difference(A,empty_set) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
cnf(49,plain,
set_difference(X0,empty_set) = X0,
inference(cnf,[status(esa)],[t3_boole]) ).
cnf(l35,plain,
set_difference(sK11,empty_set) = sK11,
inference(instantiation,[status(thm)],[49]) ).
fof(redefinition_k2_finsub_1,plain,
! [A,B,C] :
( ( ~ empty(A)
& preboolean(A)
& element(B,A)
& element(C,A) )
=> prebool_difference(A,B,C) = set_difference(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_finsub_1) ).
cnf(40,plain,
( ~ preboolean(X0)
| ~ element(X1,X0)
| ~ element(X2,X0)
| empty(X0)
| prebool_difference(X0,X1,X2) = set_difference(X1,X2) ),
inference(cnf,[status(esa)],[redefinition_k2_finsub_1]) ).
cnf(l32,plain,
( ~ preboolean(sK11)
| ~ element(sK1(sK11),sK11)
| ~ element(sK1(sK11),sK11)
| empty(sK11)
| prebool_difference(sK11,sK1(sK11),sK1(sK11)) = set_difference(sK1(sK11),sK1(sK11)) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l36,plain,
element(sK1(sK11),sK11),
inference(instantiation,[status(thm)],[7]) ).
cnf(l34,plain,
preboolean(sK11),
inference(instantiation,[status(thm)],[43]) ).
fof(t37_xboole_1,plain,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(48,plain,
( ~ subset(X0,X1)
| set_difference(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
cnf(l47,plain,
( ~ subset(sK1(sK11),sK1(sK11))
| set_difference(sK1(sK11),sK1(sK11)) = empty_set ),
inference(instantiation,[status(thm)],[48]) ).
cnf(l92,plain,
element(sK1(sK11),sK11),
inference(instantiation,[status(thm)],[7]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(41,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l48,plain,
subset(sK1(sK11),sK1(sK11)),
inference(instantiation,[status(thm)],[41]) ).
cnf(44,plain,
~ in(empty_set,sK11),
inference(cnf,[status(esa)],[t18_finsub_1_negated]) ).
cnf(l58,plain,
~ in(empty_set,sK11),
inference(instantiation,[status(thm)],[44]) ).
cnf(l56,plain,
set_difference(sK11,empty_set) = sK11,
inference(instantiation,[status(thm)],[49]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l33,l43,l41,l42,l35,l32,l36,l34,l47,l92,l48,l58,l56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU107+1 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n017.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Jul 21 23:29:19 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.28 % launching worker at depth: 10
% 0.10/0.31 % launching worker at depth: 11
% 4.20/0.82 % SZS status Theorem for theBenchmark
% 4.20/0.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------