%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET014-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:16:00 PM UTC 2026
% Result : Unsatisfiable 47.76s 10.21s
% Output : CNFRefutation 47.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 8 unt; 8 nHn; 19 RR)
% Number of literals : 48 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(membership_in_subsets,axiom,
( ~ subset(X2,X3)
| ~ member(X1,X2)
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',membership_in_subsets) ).
cnf(member_of_union_is_member_of_one_set,axiom,
( ~ member(X1,union(X2,X3))
| member(X1,X3)
| member(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',member_of_union_is_member_of_one_set) ).
cnf(b_subset_of_c,hypothesis,
subset(bs,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_of_c) ).
cnf(subsets_axiom1,axiom,
( member(member_of_1_not_of_2(X1,X2),X1)
| subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).
cnf(a_subset_of_c,hypothesis,
subset(as,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_of_c) ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X1,X2),X2)
| subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
cnf(prove_a_union_b_subset_of_c,negated_conjecture,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
cnf(c_0_7,plain,
( ~ subset(X2,X3)
| ~ member(X1,X2)
| member(X1,X3) ),
inference(fof_simplification,[status(thm)],[membership_in_subsets]) ).
cnf(c_0_8,plain,
( ~ member(X1,union(X2,X3))
| member(X1,X3)
| member(X1,X2) ),
inference(fof_simplification,[status(thm)],[member_of_union_is_member_of_one_set]) ).
cnf(c_0_9,plain,
( ~ subset(X2,X3)
| ~ member(X1,X2)
| member(X1,X3) ),
c_0_7 ).
cnf(c_0_10,hypothesis,
subset(bs,cs),
b_subset_of_c ).
cnf(c_0_11,plain,
( ~ member(X1,union(X2,X3))
| member(X1,X3)
| member(X1,X2) ),
c_0_8 ).
cnf(c_0_12,axiom,
( member(member_of_1_not_of_2(X1,X2),X1)
| subset(X1,X2) ),
subsets_axiom1 ).
cnf(c_0_13,hypothesis,
subset(as,cs),
a_subset_of_c ).
cnf(c_0_14,hypothesis,
( ~ member(X1,bs)
| member(X1,cs) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( member(member_of_1_not_of_2(union(X1,X2),X3),X2)
| member(member_of_1_not_of_2(union(X1,X2),X3),X1)
| subset(union(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( ~ member(member_of_1_not_of_2(X1,X2),X2)
| subset(X1,X2) ),
inference(fof_simplification,[status(thm)],[subsets_axiom2]) ).
cnf(c_0_17,hypothesis,
( ~ member(X1,as)
| member(X1,cs) ),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_18,hypothesis,
( member(member_of_1_not_of_2(union(X1,bs),X2),X1)
| member(member_of_1_not_of_2(union(X1,bs),X2),cs)
| subset(union(X1,bs),X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
~ subset(union(as,bs),cs),
inference(fof_simplification,[status(thm)],[prove_a_union_b_subset_of_c]) ).
cnf(c_0_20,plain,
( ~ member(member_of_1_not_of_2(X1,X2),X2)
| subset(X1,X2) ),
c_0_16 ).
cnf(c_0_21,hypothesis,
( member(member_of_1_not_of_2(union(as,bs),X1),cs)
| subset(union(as,bs),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ subset(union(as,bs),cs),
c_0_19 ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET014-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:41:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.76/10.21 % Version: 3.5.1
% 47.76/10.21 % Preprocessing class: FSMSSMSSSSSNFFN.
% 47.76/10.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.76/10.21 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 47.76/10.21 % Starting new_bool_3 with 300s (1) cores
% 47.76/10.21 % Starting new_bool_1 with 300s (1) cores
% 47.76/10.21 % Starting sh5l with 300s (1) cores
% 47.76/10.21 % new_bool_3 with pid 3156502 completed with status 9
% 47.76/10.21 % new_bool_1 with pid 3156503 completed with status 9
% 47.76/10.21 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3156501 completed with status 0
% 47.76/10.21 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 47.76/10.21 % Preprocessing class: FSMSSMSSSSSNFFN.
% 47.76/10.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.76/10.21 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 47.76/10.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 47.76/10.21 % No SInE strategy applied
% 47.76/10.21 % Search class: FGHNS-FFSF21-SFFFFFNN
% 47.76/10.21 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 47.76/10.21 % Starting SubtermCWHack with 136s (1) cores
% 47.76/10.21 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 47.76/10.21 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 47.76/10.21 % Starting new_bool_3 with 136s (1) cores
% 47.76/10.21 % Starting new_bool_1 with 136s (1) cores
% 47.76/10.21 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3156507 completed with status 0
% 47.76/10.21 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 47.76/10.21 % Preprocessing class: FSMSSMSSSSSNFFN.
% 47.76/10.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.76/10.21 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 47.76/10.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 47.76/10.21 % No SInE strategy applied
% 47.76/10.21 % Search class: FGHNS-FFSF21-SFFFFFNN
% 47.76/10.21 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 47.76/10.21 % Starting SubtermCWHack with 136s (1) cores
% 47.76/10.21 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 47.76/10.21 % Preprocessing time : 0.002 s
% 47.76/10.21 % Presaturation interreduction done
% 47.76/10.21
% 47.76/10.21 % Proof found!
% 47.76/10.21 % SZS status Unsatisfiable
% 47.76/10.21 % SZS output start CNFRefutation
% See solution above
% 47.76/10.21 % Parsed axioms : 24
% 47.76/10.21 % Removed by relevancy pruning/SinE : 0
% 47.76/10.21 % Initial clauses : 24
% 47.76/10.21 % Removed in clause preprocessing : 0
% 47.76/10.21 % Initial clauses in saturation : 24
% 47.76/10.21 % Processed clauses : 24756
% 47.76/10.21 % ...of these trivial : 584
% 47.76/10.21 % ...subsumed : 18064
% 47.76/10.21 % ...remaining for further processing : 6108
% 47.76/10.21 % Other redundant clauses eliminated : 0
% 47.76/10.21 % Clauses deleted for lack of memory : 0
% 47.76/10.21 % Backward-subsumed : 633
% 47.76/10.21 % Backward-rewritten : 134
% 47.76/10.21 % Generated clauses : 418535
% 47.76/10.21 % ...of the previous two non-redundant : 406478
% 47.76/10.21 % ...aggressively subsumed : 0
% 47.76/10.21 % Contextual simplify-reflections : 89
% 47.76/10.21 % Paramodulations : 418007
% 47.76/10.21 % Factorizations : 528
% 47.76/10.21 % NegExts : 0
% 47.76/10.21 % Equation resolutions : 0
% 47.76/10.21 % Disequality decompositions : 0
% 47.76/10.21 % Total rewrite steps : 27216
% 47.76/10.21 % ...of those cached : 23522
% 47.76/10.21 % Propositional unsat checks : 1
% 47.76/10.21 % Propositional check models : 0
% 47.76/10.21 % Propositional check unsatisfiable : 0
% 47.76/10.21 % Propositional clauses : 0
% 47.76/10.21 % Propositional clauses after purity: 0
% 47.76/10.21 % Propositional unsat core size : 0
% 47.76/10.21 % Propositional preprocessing time : 0.000
% 47.76/10.21 % Propositional encoding time : 0.662
% 47.76/10.21 % Propositional solver time : 0.656
% 47.76/10.21 % Success case prop preproc time : 0.000
% 47.76/10.21 % Success case prop encoding time : 0.000
% 47.76/10.21 % Success case prop solver time : 0.000
% 47.76/10.21 % Current number of processed clauses : 5317
% 47.76/10.21 % Positive orientable unit clauses : 1296
% 47.76/10.21 % Positive unorientable unit clauses: 0
% 47.76/10.21 % Negative unit clauses : 634
% 47.76/10.21 % Non-unit-clauses : 3387
% 47.76/10.21 % Current number of unprocessed clauses: 380348
% 47.76/10.21 % ...number of literals in the above : 779848
% 47.76/10.21 % Current number of archived formulas : 0
% 47.76/10.21 % Current number of archived clauses : 791
% 47.76/10.21 % Clause-clause subsumption calls (NU) : 1439006
% 47.76/10.21 % Rec. Clause-clause subsumption calls : 861859
% 47.76/10.21 % Non-unit clause-clause subsumptions : 10924
% 47.76/10.21 % Unit Clause-clause subsumption calls : 442811
% 47.76/10.21 % Rewrite failures with RHS unbound : 0
% 47.76/10.21 % BW rewrite match attempts : 11967
% 47.76/10.21 % BW rewrite match successes : 79
% 47.76/10.21 % Condensation attempts : 0
% 47.76/10.21 % Condensation successes : 0
% 47.76/10.21 % Termbank termtop insertions : 10113966
% 47.76/10.21 % Search garbage collected termcells : 44
% 47.76/10.21
% 47.76/10.21 % -------------------------------------------------
% 47.76/10.21 % User time : 8.845 s
% 47.76/10.21 % System time : 0.421 s
% 47.76/10.21 % Total time : 9.266 s
% 47.76/10.21 % Maximum resident set size: 3648 pages
% 47.76/10.21
% 47.76/10.21 % -------------------------------------------------
% 47.76/10.21 % User time : 45.175 s
% 47.76/10.21 % System time : 2.415 s
% 47.76/10.21 % Total time : 47.590 s
% 47.76/10.21 % Maximum resident set size: 4608 pages
% 47.76/10.21 % E exiting
%------------------------------------------------------------------------------