%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET005-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 03:31:02 PM UTC 2025
% Result : Unsatisfiable 16.65s 2.49s
% Output : CNFRefutation 16.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_aIb_intersection_c_is_aIbIc)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
~ intersection(aIb,c,aIbIc),
inference(cnf,[status(esa)],[prove_aIb_intersection_c_is_aIbIc]) ).
cnf(l0,plain,
~ intersection(aIb,c,aIbIc),
inference(instantiation,[status(thm)],[15]) ).
cnf(11,plain,
( ~ member(h(X0,X1,X2),X0)
| ~ member(h(X0,X1,X2),X1)
| ~ member(h(X0,X1,X2),X2)
| intersection(X0,X1,X2) ),
inference(cnf,[status(esa)],[intersection_axiom3]) ).
cnf(l1,plain,
( ~ member(h(aIb,c,aIbIc),aIb)
| ~ member(h(aIb,c,aIbIc),c)
| ~ member(h(aIb,c,aIbIc),aIbIc)
| intersection(aIb,c,aIbIc) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(0,plain,
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
inference(cnf,[status(esa)],[membership_in_subsets]) ).
cnf(l4,plain,
( ~ member(h(aIb,c,aIbIc),bIc)
| ~ subset(bIc,c)
| member(h(aIb,c,aIbIc),c) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| ~ intersection(X1,X2,X3)
| member(X0,X3) ),
inference(cnf,[status(esa)],[member_of_both_is_member_of_intersection]) ).
cnf(l137,plain,
( ~ member(h(aIb,c,aIbIc),bIc)
| ~ member(h(aIb,c,aIbIc),a)
| ~ intersection(bIc,a,aIbIc)
| member(h(aIb,c,aIbIc),aIbIc) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(2,plain,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom2]) ).
cnf(l54,plain,
( ~ member(member_of_1_not_of_2(bIc,c),c)
| subset(bIc,c) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
( ~ member(h(aIb,c,aIbIc),a)
| ~ member(h(aIb,c,aIbIc),b)
| ~ intersection(a,b,aIb)
| member(h(aIb,c,aIbIc),aIb) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l177,plain,
( ~ member(h(bIc,a,aIbIc),bIc)
| ~ member(h(bIc,a,aIbIc),a)
| ~ member(h(bIc,a,aIbIc),aIbIc)
| intersection(bIc,a,aIbIc) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(12,plain,
intersection(a,b,aIb),
inference(cnf,[status(esa)],[a_intersection_b]) ).
cnf(l12,plain,
intersection(a,b,aIb),
inference(instantiation,[status(thm)],[12]) ).
cnf(6,plain,
( ~ member(X0,X1)
| ~ intersection(X2,X3,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[member_of_intersection_is_member_of_set1]) ).
cnf(l3,plain,
( ~ member(h(aIb,c,aIbIc),bIc)
| ~ intersection(b,c,bIc)
| member(h(aIb,c,aIbIc),b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l104,plain,
( ~ member(h(aIb,c,aIbIc),aIbIc)
| ~ intersection(a,bIc,aIbIc)
| member(h(aIb,c,aIbIc),a) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
( ~ member(X0,X1)
| ~ intersection(X2,X3,X1)
| member(X0,X3) ),
inference(cnf,[status(esa)],[member_of_intersection_is_member_of_set2]) ).
cnf(l50,plain,
( ~ member(h(aIb,c,aIbIc),aIbIc)
| ~ intersection(a,bIc,aIbIc)
| member(h(aIb,c,aIbIc),bIc) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l178,plain,
( ~ member(h(bIc,a,aIbIc),aIbIc)
| ~ intersection(a,bIc,aIbIc)
| member(h(bIc,a,aIbIc),bIc) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l181,plain,
( ~ member(h(bIc,a,aIbIc),aIbIc)
| ~ intersection(a,bIc,aIbIc)
| member(h(bIc,a,aIbIc),a) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(13,plain,
intersection(b,c,bIc),
inference(cnf,[status(esa)],[b_intersection_c]) ).
cnf(l5,plain,
intersection(b,c,bIc),
inference(instantiation,[status(thm)],[13]) ).
cnf(10,plain,
( member(h(X0,X1,X2),X1)
| member(h(X0,X1,X2),X2)
| intersection(X0,X1,X2) ),
inference(cnf,[status(esa)],[intersection_axiom2]) ).
cnf(l185,plain,
( member(h(bIc,a,aIbIc),a)
| member(h(bIc,a,aIbIc),aIbIc)
| intersection(bIc,a,aIbIc) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(14,plain,
intersection(a,bIc,aIbIc),
inference(cnf,[status(esa)],[a_intersection_bIc]) ).
cnf(l183,plain,
intersection(a,bIc,aIbIc),
inference(instantiation,[status(thm)],[14]) ).
cnf(l179,plain,
intersection(a,bIc,aIbIc),
inference(instantiation,[status(thm)],[14]) ).
cnf(9,plain,
( member(h(X0,X1,X2),X0)
| member(h(X0,X1,X2),X2)
| intersection(X0,X1,X2) ),
inference(cnf,[status(esa)],[intersection_axiom1]) ).
cnf(l186,plain,
( member(h(bIc,a,aIbIc),bIc)
| member(h(bIc,a,aIbIc),aIbIc)
| intersection(bIc,a,aIbIc) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l107,plain,
intersection(a,bIc,aIbIc),
inference(instantiation,[status(thm)],[14]) ).
cnf(l188,plain,
( ~ member(h(bIc,a,aIbIc),a)
| ~ member(h(bIc,a,aIbIc),bIc)
| ~ intersection(a,bIc,aIbIc)
| member(h(bIc,a,aIbIc),aIbIc) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l64,plain,
( ~ member(h(aIb,c,aIbIc),aIbIc)
| ~ intersection(a,bIc,aIbIc)
| member(h(aIb,c,aIbIc),bIc) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l138,plain,
( ~ member(h(aIb,c,aIbIc),b)
| ~ member(h(aIb,c,aIbIc),c)
| ~ intersection(b,c,bIc)
| member(h(aIb,c,aIbIc),bIc) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l160,plain,
intersection(b,c,bIc),
inference(instantiation,[status(thm)],[13]) ).
cnf(l112,plain,
( member(h(aIb,c,aIbIc),aIb)
| member(h(aIb,c,aIbIc),aIbIc)
| intersection(aIb,c,aIbIc) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l60,plain,
intersection(a,bIc,aIbIc),
inference(instantiation,[status(thm)],[14]) ).
cnf(l190,plain,
( member(h(bIc,a,aIbIc),bIc)
| member(h(bIc,a,aIbIc),aIbIc)
| intersection(bIc,a,aIbIc) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l139,plain,
( ~ member(h(aIb,c,aIbIc),aIb)
| ~ intersection(a,b,aIb)
| member(h(aIb,c,aIbIc),a) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l191,plain,
intersection(a,bIc,aIbIc),
inference(instantiation,[status(thm)],[14]) ).
cnf(l150,plain,
( member(h(aIb,c,aIbIc),c)
| member(h(aIb,c,aIbIc),aIbIc)
| intersection(aIb,c,aIbIc) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l81,plain,
( member(h(aIb,c,aIbIc),aIb)
| member(h(aIb,c,aIbIc),aIbIc)
| intersection(aIb,c,aIbIc) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l76,plain,
( ~ member(member_of_1_not_of_2(bIc,c),bIc)
| ~ intersection(b,c,bIc)
| member(member_of_1_not_of_2(bIc,c),c) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l189,plain,
( member(h(bIc,a,aIbIc),a)
| member(h(bIc,a,aIbIc),aIbIc)
| intersection(bIc,a,aIbIc) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l77,plain,
intersection(b,c,bIc),
inference(instantiation,[status(thm)],[13]) ).
cnf(l142,plain,
intersection(a,b,aIb),
inference(instantiation,[status(thm)],[12]) ).
cnf(1,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom1]) ).
cnf(l94,plain,
( member(member_of_1_not_of_2(bIc,c),bIc)
| subset(bIc,c) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l151,plain,
( ~ member(h(aIb,c,aIbIc),aIb)
| ~ intersection(a,b,aIb)
| member(h(aIb,c,aIbIc),b) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l78,plain,
intersection(a,bIc,aIbIc),
inference(instantiation,[status(thm)],[14]) ).
cnf(l156,plain,
intersection(a,b,aIb),
inference(instantiation,[status(thm)],[12]) ).
cnf(l140,plain,
( member(h(aIb,c,aIbIc),aIb)
| member(h(aIb,c,aIbIc),aIbIc)
| intersection(aIb,c,aIbIc) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l155,plain,
( member(h(aIb,c,aIbIc),aIb)
| member(h(aIb,c,aIbIc),aIbIc)
| intersection(aIb,c,aIbIc) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l65,plain,
( member(h(aIb,c,aIbIc),c)
| member(h(aIb,c,aIbIc),aIbIc)
| intersection(aIb,c,aIbIc) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l137,l54,l2,l177,l12,l3,l104,l50,l178,l181,l5,l185,l183,l179,l186,l107,l188,l64,l138,l160,l112,l60,l190,l139,l191,l150,l81,l76,l189,l77,l142,l94,l151,l78,l156,l140,l155,l65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET005-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Jul 21 19:11:49 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.14/0.36 % launching worker at depth: 11
% 0.20/0.50 % launching worker at depth: 12
% 16.65/2.49 % SZS status Theorem for theBenchmark
% 16.65/2.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------