%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEV436-1 : TPTP v9.2.1. Released v6.4.0.
% 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 : 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 : Tue May 5 05:15:15 PM UTC 2026
% Result : Satisfiable 1.27s 1.72s
% Output : Saturation 1.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(union_axiom1,axiom,
( union(X1,X2,X3)
| member(g(X1,X2,X3),X1)
| member(g(X1,X2,X3),X2)
| member(g(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',union_axiom1) ).
cnf(intersection_axiom2,axiom,
( member(h(X1,X2,X3),X3)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom2) ).
cnf(difference_axiom2,axiom,
( difference(X1,X2,X3)
| member(k(X1,X2,X3),X1)
| member(k(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',difference_axiom2) ).
cnf(intersection_axiom1,axiom,
( member(h(X1,X2,X3),X3)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom1) ).
cnf(intersection_axiom3,axiom,
( intersection(X1,X2,X3)
| ~ member(h(X1,X2,X3),X3)
| ~ member(h(X1,X2,X3),X2)
| ~ member(h(X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom3) ).
cnf(union_axiom2,axiom,
( union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X1)
| ~ member(g(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',union_axiom2) ).
cnf(union_axiom3,axiom,
( union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X2)
| ~ member(g(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',union_axiom3) ).
cnf(difference_axiom3,axiom,
( member(k(X1,X2,X3),X2)
| difference(X1,X2,X3)
| ~ member(k(X1,X2,X3),X3)
| ~ member(k(X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',difference_axiom3) ).
cnf(difference_axiom1,axiom,
( member(k(X1,X2,X3),X3)
| difference(X1,X2,X3)
| ~ member(k(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',difference_axiom1) ).
cnf(subsets_axiom2,axiom,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
cnf(subsets_axiom1,axiom,
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).
cnf(member_of_difference_or_set2,axiom,
( member(X1,X4)
| member(X1,X3)
| ~ member(X1,X2)
| ~ difference(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',member_of_difference_or_set2) ).
cnf(member_of_union_is_member_of_one_set,axiom,
( member(X4,X1)
| member(X4,X2)
| ~ union(X1,X2,X3)
| ~ member(X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',member_of_union_is_member_of_one_set) ).
cnf(member_of_both_is_member_of_intersection,axiom,
( member(X4,X3)
| ~ intersection(X1,X2,X3)
| ~ member(X4,X2)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',member_of_both_is_member_of_intersection) ).
cnf(member_of_difference,axiom,
( member(X4,X1)
| ~ difference(X1,X2,X3)
| ~ member(X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',member_of_difference) ).
cnf(member_of_intersection_is_member_of_set1,axiom,
( member(X4,X1)
| ~ intersection(X1,X2,X3)
| ~ member(X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set1) ).
cnf(member_of_intersection_is_member_of_set2,axiom,
( member(X4,X2)
| ~ intersection(X1,X2,X3)
| ~ member(X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set2) ).
cnf(member_of_set1_is_member_of_union,axiom,
( member(X4,X3)
| ~ union(X1,X2,X3)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',member_of_set1_is_member_of_union) ).
cnf(member_of_set2_is_member_of_union,axiom,
( member(X4,X3)
| ~ union(X1,X2,X3)
| ~ member(X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',member_of_set2_is_member_of_union) ).
cnf(membership_in_subsets,axiom,
( member(X1,X3)
| ~ member(X1,X2)
| ~ subset(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).
cnf(not_member_of_difference,axiom,
( ~ member(X1,X2)
| ~ member(X1,X3)
| ~ difference(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
cnf(subsets_are_set_equal_sets,axiom,
( equal_sets(X2,X1)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_are_set_equal_sets) ).
cnf(set_equal_sets_are_subsets1,axiom,
( subset(X1,X2)
| ~ equal_sets(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',set_equal_sets_are_subsets1) ).
cnf(set_equal_sets_are_subsets2,axiom,
( subset(X2,X1)
| ~ equal_sets(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',set_equal_sets_are_subsets2) ).
cnf(c_0_24,axiom,
( union(X1,X2,X3)
| member(g(X1,X2,X3),X1)
| member(g(X1,X2,X3),X2)
| member(g(X1,X2,X3),X3) ),
union_axiom1,
[final] ).
cnf(c_0_25,axiom,
( member(h(X1,X2,X3),X3)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X2) ),
intersection_axiom2,
[final] ).
cnf(c_0_26,axiom,
( difference(X1,X2,X3)
| member(k(X1,X2,X3),X1)
| member(k(X1,X2,X3),X3) ),
difference_axiom2,
[final] ).
cnf(c_0_27,axiom,
( member(h(X1,X2,X3),X3)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X1) ),
intersection_axiom1,
[final] ).
cnf(c_0_28,plain,
( union(X1,X2,X2)
| member(g(X1,X2,X2),X1)
| member(g(X1,X2,X2),X2) ),
inference(ef,[status(thm)],[c_0_24]) ).
cnf(c_0_29,axiom,
( intersection(X1,X2,X3)
| ~ member(h(X1,X2,X3),X3)
| ~ member(h(X1,X2,X3),X2)
| ~ member(h(X1,X2,X3),X1) ),
intersection_axiom3,
[final] ).
cnf(c_0_30,plain,
( intersection(X1,X2,X2)
| member(h(X1,X2,X2),X2) ),
inference(ef,[status(thm)],[c_0_25]),
[final] ).
cnf(c_0_31,axiom,
( union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X1)
| ~ member(g(X1,X2,X3),X3) ),
union_axiom2,
[final] ).
cnf(c_0_32,plain,
( union(X1,X2,X1)
| member(g(X1,X2,X1),X1)
| member(g(X1,X2,X1),X2) ),
inference(ef,[status(thm)],[c_0_24]) ).
cnf(c_0_33,axiom,
( union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X2)
| ~ member(g(X1,X2,X3),X3) ),
union_axiom3,
[final] ).
cnf(c_0_34,axiom,
( member(k(X1,X2,X3),X2)
| difference(X1,X2,X3)
| ~ member(k(X1,X2,X3),X3)
| ~ member(k(X1,X2,X3),X1) ),
difference_axiom3,
[final] ).
cnf(c_0_35,plain,
( difference(X1,X2,X1)
| member(k(X1,X2,X1),X1) ),
inference(ef,[status(thm)],[c_0_26]),
[final] ).
cnf(c_0_36,axiom,
( member(k(X1,X2,X3),X3)
| difference(X1,X2,X3)
| ~ member(k(X1,X2,X3),X2) ),
difference_axiom1,
[final] ).
cnf(c_0_37,plain,
( intersection(X1,X2,X1)
| member(h(X1,X2,X1),X1) ),
inference(ef,[status(thm)],[c_0_27]),
[final] ).
cnf(c_0_38,plain,
( union(X1,X1,X1)
| member(g(X1,X1,X1),X1) ),
inference(ef,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
( intersection(X1,X2,X2)
| ~ member(h(X1,X2,X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_30]),
[final] ).
cnf(c_0_40,axiom,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
subsets_axiom2,
[final] ).
cnf(c_0_41,axiom,
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
subsets_axiom1,
[final] ).
cnf(c_0_42,plain,
( union(X1,X1,X2)
| member(g(X1,X1,X2),X1)
| member(g(X1,X1,X2),X2) ),
inference(ef,[status(thm)],[c_0_24]),
[final] ).
cnf(c_0_43,plain,
( union(X1,X2,X1)
| member(g(X1,X2,X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_32]),
[final] ).
cnf(c_0_44,plain,
( union(X1,X2,X2)
| member(g(X1,X2,X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_28]),c_0_28]),
[final] ).
cnf(c_0_45,plain,
( difference(X1,X2,X1)
| member(k(X1,X2,X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_35]),
[final] ).
cnf(c_0_46,plain,
( difference(X1,X1,X2)
| member(k(X1,X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_26]),
[final] ).
cnf(c_0_47,plain,
( intersection(X1,X2,X1)
| ~ member(h(X1,X2,X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_37]),c_0_37]),
[final] ).
cnf(c_0_48,axiom,
( member(X1,X4)
| member(X1,X3)
| ~ member(X1,X2)
| ~ difference(X2,X3,X4) ),
member_of_difference_or_set2,
[final] ).
cnf(c_0_49,axiom,
( member(X4,X1)
| member(X4,X2)
| ~ union(X1,X2,X3)
| ~ member(X4,X3) ),
member_of_union_is_member_of_one_set,
[final] ).
cnf(c_0_50,axiom,
( member(X4,X3)
| ~ intersection(X1,X2,X3)
| ~ member(X4,X2)
| ~ member(X4,X1) ),
member_of_both_is_member_of_intersection,
[final] ).
cnf(c_0_51,axiom,
( member(X4,X1)
| ~ difference(X1,X2,X3)
| ~ member(X4,X3) ),
member_of_difference,
[final] ).
cnf(c_0_52,axiom,
( member(X4,X1)
| ~ intersection(X1,X2,X3)
| ~ member(X4,X3) ),
member_of_intersection_is_member_of_set1,
[final] ).
cnf(c_0_53,axiom,
( member(X4,X2)
| ~ intersection(X1,X2,X3)
| ~ member(X4,X3) ),
member_of_intersection_is_member_of_set2,
[final] ).
cnf(c_0_54,axiom,
( member(X4,X3)
| ~ union(X1,X2,X3)
| ~ member(X4,X1) ),
member_of_set1_is_member_of_union,
[final] ).
cnf(c_0_55,axiom,
( member(X4,X3)
| ~ union(X1,X2,X3)
| ~ member(X4,X2) ),
member_of_set2_is_member_of_union,
[final] ).
cnf(c_0_56,axiom,
( member(X1,X3)
| ~ member(X1,X2)
| ~ subset(X2,X3) ),
membership_in_subsets,
[final] ).
cnf(c_0_57,axiom,
( ~ member(X1,X2)
| ~ member(X1,X3)
| ~ difference(X4,X2,X3) ),
not_member_of_difference,
[final] ).
cnf(c_0_58,axiom,
( equal_sets(X2,X1)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
subsets_are_set_equal_sets,
[final] ).
cnf(c_0_59,axiom,
( subset(X1,X2)
| ~ equal_sets(X1,X2) ),
set_equal_sets_are_subsets1,
[final] ).
cnf(c_0_60,axiom,
( subset(X2,X1)
| ~ equal_sets(X1,X2) ),
set_equal_sets_are_subsets2,
[final] ).
cnf(c_0_61,plain,
union(X1,X1,X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_38]),c_0_38]),
[final] ).
cnf(c_0_62,plain,
intersection(X1,X1,X1),
inference(spm,[status(thm)],[c_0_39,c_0_30]),
[final] ).
cnf(c_0_63,plain,
subset(X1,X1),
inference(spm,[status(thm)],[c_0_40,c_0_41]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV436-1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 03:56:13 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start Saturation
% See solution above
% 1.27/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------