%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP005-2 : 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 : n016.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 05:56:35 PM UTC 2026
% Result : Unsatisfiable 82.71s 58.80s
% Output : CNFRefutation 82.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 6 unt; 2 nHn; 30 RR)
% Number of literals : 87 ( 0 equ; 56 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(topology_generated_41,axiom,
( element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(f11(X2,X1),X3)
| ~ element_of_collection(X3,X2)
| ~ subset_sets(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_41) ).
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_20,axiom,
( subset_sets(X1,union_of_members(X3))
| ~ subset_sets(X1,X2)
| ~ element_of_collection(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_20) ).
cnf(topology_generated_39,axiom,
( subset_sets(f10(X2,X1,X3),X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_39) ).
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(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_21,axiom,
( element_of_collection(X3,X2)
| ~ subset_collections(X1,X2)
| ~ element_of_collection(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_21) ).
cnf(lemma_1e_2,negated_conjecture,
subset_collections(g,top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1e_2) ).
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_1e_3,negated_conjecture,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1e_3) ).
cnf(topology_generated_40,axiom,
( element_of_collection(X1,top_of_basis(X2))
| element_of_set(f11(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_40) ).
cnf(c_0_11,axiom,
( element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(f11(X2,X1),X3)
| ~ element_of_collection(X3,X2)
| ~ subset_sets(X3,X1) ),
topology_generated_41 ).
cnf(c_0_12,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_13,axiom,
( subset_sets(X1,union_of_members(X3))
| ~ subset_sets(X1,X2)
| ~ element_of_collection(X2,X3) ),
set_theory_20 ).
cnf(c_0_14,axiom,
( subset_sets(f10(X2,X1,X3),X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
topology_generated_39 ).
cnf(c_0_15,plain,
( element_of_collection(X1,top_of_basis(X2))
| ~ subset_sets(f10(X3,X4,f11(X2,X1)),X1)
| ~ element_of_collection(f10(X3,X4,f11(X2,X1)),X2)
| ~ element_of_collection(X4,top_of_basis(X3))
| ~ element_of_set(f11(X2,X1),X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( subset_sets(f10(X1,X2,X3),union_of_members(X4))
| ~ element_of_collection(X2,top_of_basis(X1))
| ~ element_of_collection(X2,X4)
| ~ element_of_set(X3,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( element_of_collection(union_of_members(X1),top_of_basis(X2))
| ~ element_of_collection(f10(X3,X4,f11(X2,union_of_members(X1))),X2)
| ~ element_of_collection(X4,top_of_basis(X3))
| ~ element_of_collection(X4,X1)
| ~ element_of_set(f11(X2,union_of_members(X1)),X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,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_19,plain,
( element_of_collection(union_of_members(X1),top_of_basis(X2))
| ~ element_of_collection(X3,top_of_basis(X2))
| ~ element_of_collection(X3,X1)
| ~ element_of_set(f11(X2,union_of_members(X1)),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,axiom,
( element_of_set(X1,f1(X2,X1))
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_1 ).
cnf(c_0_21,axiom,
( element_of_collection(X3,X2)
| ~ subset_collections(X1,X2)
| ~ element_of_collection(X3,X1) ),
set_theory_21 ).
cnf(c_0_22,negated_conjecture,
subset_collections(g,top_of_basis(f)),
lemma_1e_2 ).
cnf(c_0_23,plain,
( element_of_collection(union_of_members(X1),top_of_basis(X2))
| ~ element_of_collection(f1(X3,f11(X2,union_of_members(X1))),top_of_basis(X2))
| ~ element_of_collection(f1(X3,f11(X2,union_of_members(X1))),X1)
| ~ element_of_set(f11(X2,union_of_members(X1)),union_of_members(X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( element_of_collection(X1,top_of_basis(f))
| ~ element_of_collection(X1,g) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( element_of_collection(union_of_members(X1),top_of_basis(f))
| ~ element_of_collection(f1(X2,f11(f,union_of_members(X1))),g)
| ~ element_of_collection(f1(X2,f11(f,union_of_members(X1))),X1)
| ~ element_of_set(f11(f,union_of_members(X1)),union_of_members(X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,axiom,
( element_of_collection(f1(X2,X1),X2)
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_2 ).
cnf(c_0_27,negated_conjecture,
( element_of_collection(union_of_members(X1),top_of_basis(f))
| ~ element_of_collection(f1(g,f11(f,union_of_members(X1))),X1)
| ~ element_of_set(f11(f,union_of_members(X1)),union_of_members(g)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
lemma_1e_3 ).
cnf(c_0_29,negated_conjecture,
~ element_of_set(f11(f,union_of_members(g)),union_of_members(g)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_28]) ).
cnf(c_0_30,axiom,
( element_of_collection(X1,top_of_basis(X2))
| element_of_set(f11(X2,X1),X1) ),
topology_generated_40 ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : TOP005-2 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.11 % 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 : n016.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 09:53:21 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 82.71/58.80 % Version : CSE_E---1.7
% 82.71/58.80 % Problem : theBenchmark.p
% 82.71/58.80 % SZS status Unsatisfiable for theBenchmark.p
% 82.71/58.80 % SZS output start CNFRefutation
% See solution above
% 82.93/59.05 % Total time : 48.562s
%------------------------------------------------------------------------------