%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP003-2 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 : Satisfiable 1.21s 1.68s
% Output : Saturation 1.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(set_theory_10,axiom,
( subset_sets(X3,X2)
| ~ equal_sets(X1,X2)
| ~ subset_sets(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_10) ).
cnf(basis_for_topology_28,axiom,
( equal_sets(union_of_members(X2),X1)
| ~ basis(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',basis_for_topology_28) ).
cnf(set_theory_7,axiom,
( subset_sets(X1,union_of_members(X2))
| ~ element_of_collection(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_7) ).
cnf(lemma_1c_1,negated_conjecture,
basis(cx,f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1c_1) ).
cnf(set_theory_9,axiom,
subset_sets(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_9) ).
cnf(set_theory_11,axiom,
( subset_sets(X2,X3)
| ~ equal_sets(X1,X2)
| ~ subset_sets(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_11) ).
cnf(set_theory_8,axiom,
( element_of_set(X3,X2)
| ~ subset_sets(X1,X2)
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_8) ).
cnf(union_of_members_2,axiom,
( element_of_collection(f1(X2,X1),X2)
| ~ element_of_set(X1,union_of_members(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_2) ).
cnf(topology_generated_40,axiom,
( element_of_collection(X1,top_of_basis(X2))
| element_of_set(f11(X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_40) ).
cnf(union_of_members_1,axiom,
( element_of_set(X1,f1(X2,X1))
| ~ element_of_set(X1,union_of_members(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_1) ).
cnf(lemma_1c_2,negated_conjecture,
~ element_of_collection(cx,top_of_basis(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1c_2) ).
cnf(c_0_11,axiom,
( subset_sets(X3,X2)
| ~ equal_sets(X1,X2)
| ~ subset_sets(X3,X1) ),
set_theory_10,
[final] ).
cnf(c_0_12,axiom,
( equal_sets(union_of_members(X2),X1)
| ~ basis(X1,X2) ),
basis_for_topology_28,
[final] ).
cnf(c_0_13,plain,
( subset_sets(X1,X2)
| ~ subset_sets(X1,union_of_members(X3))
| ~ basis(X2,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]),
[final] ).
cnf(c_0_14,axiom,
( subset_sets(X1,union_of_members(X2))
| ~ element_of_collection(X1,X2) ),
set_theory_7,
[final] ).
cnf(c_0_15,plain,
( subset_sets(X1,X2)
| ~ basis(X2,X3)
| ~ element_of_collection(X1,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]),
[final] ).
cnf(c_0_16,negated_conjecture,
basis(cx,f),
lemma_1c_1,
[final] ).
cnf(c_0_17,axiom,
subset_sets(X1,X1),
set_theory_9,
[final] ).
cnf(c_0_18,axiom,
( subset_sets(X2,X3)
| ~ equal_sets(X1,X2)
| ~ subset_sets(X1,X3) ),
set_theory_11,
[final] ).
cnf(c_0_19,axiom,
( element_of_set(X3,X2)
| ~ subset_sets(X1,X2)
| ~ element_of_set(X3,X1) ),
set_theory_8,
[final] ).
cnf(c_0_20,negated_conjecture,
( subset_sets(X1,cx)
| ~ element_of_collection(X1,f) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]),
[final] ).
cnf(c_0_21,axiom,
( element_of_collection(f1(X2,X1),X2)
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_2,
[final] ).
cnf(c_0_22,plain,
( subset_sets(union_of_members(X1),X2)
| ~ basis(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]),
[final] ).
cnf(c_0_23,plain,
( subset_sets(X1,X2)
| ~ subset_sets(union_of_members(X3),X2)
| ~ basis(X1,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_12]),
[final] ).
cnf(c_0_24,plain,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_collection(X3,X2)
| ~ element_of_set(X1,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_14]),
[final] ).
cnf(c_0_25,negated_conjecture,
( subset_sets(f1(f,X1),cx)
| ~ element_of_set(X1,union_of_members(f)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]),
[final] ).
cnf(c_0_26,negated_conjecture,
subset_sets(union_of_members(f),cx),
inference(spm,[status(thm)],[c_0_22,c_0_16]),
[final] ).
cnf(c_0_27,plain,
( subset_sets(X1,union_of_members(X2))
| ~ basis(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_17]),
[final] ).
cnf(c_0_28,plain,
( element_of_set(X1,union_of_members(X2))
| ~ element_of_set(X1,f1(X2,X3))
| ~ element_of_set(X3,union_of_members(X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_21]),
[final] ).
cnf(c_0_29,axiom,
( element_of_collection(X1,top_of_basis(X2))
| element_of_set(f11(X2,X1),X1) ),
topology_generated_40,
[final] ).
cnf(c_0_30,negated_conjecture,
( element_of_set(X1,cx)
| ~ element_of_set(X1,f1(f,X2))
| ~ element_of_set(X2,union_of_members(f)) ),
inference(spm,[status(thm)],[c_0_19,c_0_25]),
[final] ).
cnf(c_0_31,negated_conjecture,
( element_of_set(X1,cx)
| ~ element_of_set(X1,union_of_members(f)) ),
inference(spm,[status(thm)],[c_0_19,c_0_26]),
[final] ).
cnf(c_0_32,negated_conjecture,
subset_sets(cx,union_of_members(f)),
inference(spm,[status(thm)],[c_0_27,c_0_16]),
[final] ).
cnf(c_0_33,plain,
( element_of_collection(f1(X1,X2),top_of_basis(X3))
| element_of_set(f11(X3,f1(X1,X2)),union_of_members(X1))
| ~ element_of_set(X2,union_of_members(X1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]),
[final] ).
cnf(c_0_34,negated_conjecture,
( element_of_collection(f1(f,X1),top_of_basis(X2))
| element_of_set(f11(X2,f1(f,X1)),cx)
| ~ element_of_set(X1,union_of_members(f)) ),
inference(spm,[status(thm)],[c_0_30,c_0_29]),
[final] ).
cnf(c_0_35,plain,
( subset_sets(X1,union_of_members(X2))
| ~ basis(X1,X3)
| ~ element_of_collection(union_of_members(X3),X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_14]),
[final] ).
cnf(c_0_36,negated_conjecture,
( element_of_collection(union_of_members(f),top_of_basis(X1))
| element_of_set(f11(X1,union_of_members(f)),cx) ),
inference(spm,[status(thm)],[c_0_31,c_0_29]),
[final] ).
cnf(c_0_37,negated_conjecture,
( element_of_set(X1,union_of_members(f))
| ~ element_of_set(X1,cx) ),
inference(spm,[status(thm)],[c_0_19,c_0_32]),
[final] ).
cnf(c_0_38,negated_conjecture,
( subset_sets(cx,X1)
| ~ basis(X1,f) ),
inference(spm,[status(thm)],[c_0_13,c_0_32]),
[final] ).
cnf(c_0_39,negated_conjecture,
( subset_sets(X1,cx)
| ~ basis(X1,f) ),
inference(spm,[status(thm)],[c_0_23,c_0_26]),
[final] ).
cnf(c_0_40,axiom,
( element_of_set(X1,f1(X2,X1))
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_1,
[final] ).
cnf(c_0_41,negated_conjecture,
~ element_of_collection(cx,top_of_basis(f)),
lemma_1c_2,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : TOP003-2 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.30 % Computer : n031.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue May 5 09:55:08 EDT 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.31 % start to proof: theBenchmark
% 1.21/1.68 % Version : CSE_E---1.7
% 1.21/1.68 % Problem : theBenchmark.p
% 1.21/1.68 % SZS status Satisfiable for theBenchmark.p
% 1.21/1.68 % SZS output start Saturation
% See solution above
% 1.21/1.68 % Total time : 1.368s
%------------------------------------------------------------------------------