%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP001-2 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 : Tue May 5 05:56:34 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 34 ( 6 unt; 4 nHn; 30 RR)
% Number of literals : 74 ( 0 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 66 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(union_of_members_3,axiom,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_set(X1,X3)
| ~ element_of_collection(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_3) ).
cnf(topology_generated_38,axiom,
( element_of_collection(f10(X2,X1,X3),X2)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_38) ).
cnf(topology_generated_37,axiom,
( element_of_set(X3,f10(X2,X1,X3))
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_37) ).
cnf(set_theory_3,axiom,
( subset_sets(X1,X2)
| ~ equal_sets(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_3) ).
cnf(basis_for_topology_28,axiom,
( equal_sets(union_of_members(X2),X1)
| ~ basis(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',basis_for_topology_28) ).
cnf(union_of_members_2,axiom,
( element_of_collection(f1(X2,X1),X2)
| ~ element_of_set(X1,union_of_members(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_2) ).
cnf(lemma_1a_1,negated_conjecture,
basis(cx,f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_1) ).
cnf(union_of_members_1,axiom,
( element_of_set(X1,f1(X2,X1))
| ~ element_of_set(X1,union_of_members(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_1) ).
cnf(set_theory_2,axiom,
( element_of_set(X3,X2)
| ~ subset_sets(X1,X2)
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_2) ).
cnf(set_theory_4,axiom,
( subset_sets(X1,X2)
| element_of_set(in_1st_set(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_4) ).
cnf(set_theory_5,axiom,
( subset_sets(X1,X2)
| ~ element_of_set(in_1st_set(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_5) ).
cnf(lemma_1a_2,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_2) ).
cnf(c_0_12,axiom,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_set(X1,X3)
| ~ element_of_collection(X3,X2) ),
union_of_members_3 ).
cnf(c_0_13,axiom,
( element_of_collection(f10(X2,X1,X3),X2)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
topology_generated_38 ).
cnf(c_0_14,plain,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_collection(X3,top_of_basis(X2))
| ~ element_of_set(X1,f10(X2,X3,X4))
| ~ element_of_set(X4,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
( element_of_set(X3,f10(X2,X1,X3))
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
topology_generated_37 ).
cnf(c_0_16,axiom,
( subset_sets(X1,X2)
| ~ equal_sets(X1,X2) ),
set_theory_3 ).
cnf(c_0_17,axiom,
( equal_sets(union_of_members(X2),X1)
| ~ basis(X1,X2) ),
basis_for_topology_28 ).
cnf(c_0_18,plain,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_collection(X3,top_of_basis(X2))
| ~ element_of_set(X1,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,axiom,
( element_of_collection(f1(X2,X1),X2)
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_2 ).
cnf(c_0_20,plain,
( subset_sets(union_of_members(X1),X2)
| ~ basis(X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
basis(cx,f),
lemma_1a_1 ).
cnf(c_0_22,plain,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_set(X1,f1(top_of_basis(X2),X3))
| ~ element_of_set(X3,union_of_members(top_of_basis(X2))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,axiom,
( element_of_set(X1,f1(X2,X1))
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_1 ).
cnf(c_0_24,axiom,
( element_of_set(X3,X2)
| ~ subset_sets(X1,X2)
| ~ element_of_set(X3,X1) ),
set_theory_2 ).
cnf(c_0_25,negated_conjecture,
subset_sets(union_of_members(f),cx),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_set(X1,union_of_members(top_of_basis(X2))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,axiom,
( subset_sets(X1,X2)
| element_of_set(in_1st_set(X1,X2),X1) ),
set_theory_4 ).
cnf(c_0_28,negated_conjecture,
( element_of_set(X1,cx)
| ~ element_of_set(X1,union_of_members(f)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( subset_sets(union_of_members(top_of_basis(X1)),X2)
| element_of_set(in_1st_set(union_of_members(top_of_basis(X1)),X2),union_of_members(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
( subset_sets(X1,X2)
| ~ element_of_set(in_1st_set(X1,X2),X2) ),
set_theory_5 ).
cnf(c_0_31,negated_conjecture,
( subset_sets(union_of_members(top_of_basis(f)),X1)
| element_of_set(in_1st_set(union_of_members(top_of_basis(f)),X1),cx) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
lemma_1a_2 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : TOP001-2 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n011.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 09:51:47 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.372s
%------------------------------------------------------------------------------