%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 02:13:00 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 9 unt; 6 nHn; 14 RR)
% Number of literals : 38 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 33 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_member_of_difference,axiom,
( ~ difference(X4,X2,X3)
| ~ member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
cnf(prove_aI_bDa_is_empty,negated_conjecture,
~ member(X1,aI_bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aI_bDa_is_empty) ).
cnf(b_minus_a,hypothesis,
difference(b,a,bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_a) ).
cnf(intersection_axiom2,axiom,
( member(h(X1,X2,X3),X2)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom2) ).
cnf(intersection_axiom1,axiom,
( member(h(X1,X2,X3),X1)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom1) ).
cnf(a_intersection_bDa,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_intersection_bDa) ).
cnf(c_0_6,plain,
( ~ difference(X4,X2,X3)
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(fof_simplification,[status(thm)],[not_member_of_difference]) ).
cnf(c_0_7,negated_conjecture,
~ member(X1,aI_bDa),
inference(fof_simplification,[status(thm)],[prove_aI_bDa_is_empty]) ).
cnf(c_0_8,plain,
( ~ difference(X4,X2,X3)
| ~ member(X1,X3)
| ~ member(X1,X2) ),
c_0_6 ).
cnf(c_0_9,hypothesis,
difference(b,a,bDa),
b_minus_a ).
cnf(c_0_10,negated_conjecture,
~ member(X1,aI_bDa),
c_0_7 ).
cnf(c_0_11,axiom,
( member(h(X1,X2,X3),X2)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X3) ),
intersection_axiom2 ).
cnf(c_0_12,hypothesis,
( ~ member(X1,a)
| ~ member(X1,bDa) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( member(h(X1,X2,aI_bDa),X2)
| intersection(X1,X2,aI_bDa) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
( member(h(X1,X2,X3),X1)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X3) ),
intersection_axiom1 ).
cnf(c_0_15,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
inference(fof_simplification,[status(thm)],[a_intersection_bDa]) ).
cnf(c_0_16,hypothesis,
( ~ member(h(X1,bDa,aI_bDa),a)
| intersection(X1,bDa,aI_bDa) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( member(h(X1,X2,aI_bDa),X1)
| intersection(X1,X2,aI_bDa) ),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
c_0_15 ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.38 % Computer : n017.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Mon Sep 21 04:36:47 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.16/5.45 % Version: 3.5.1
% 0.16/5.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.45 % Starting sh5l with 300s (1) cores
% 0.16/5.45 % sh5l with pid 1440842 completed with status 0
% 0.16/5.45 % Result found by sh5l
% 0.16/5.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.45 % Starting sh5l with 300s (1) cores
% 0.16/5.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.16/5.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/5.45 % Search class: FGHNF-FFMF32-SFFFFFNN
% 0.16/5.45 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/5.45 % Starting SubtermCWHack with 31s (1) cores
% 0.16/5.45 % SubtermCWHack with pid 1440848 completed with status 0
% 0.16/5.45 % Result found by SubtermCWHack
% 0.16/5.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.45 % Starting sh5l with 300s (1) cores
% 0.16/5.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.16/5.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/5.45 % Search class: FGHNF-FFMF32-SFFFFFNN
% 0.16/5.45 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/5.45 % Starting SubtermCWHack with 31s (1) cores
% 0.16/5.45 % Preprocessing time : 0.001 s
% 0.16/5.45
% 0.16/5.45 % Proof found!
% 0.16/5.45 % SZS status Unsatisfiable
% 0.16/5.45 % SZS output start CNFRefutation
% See solution above
% 0.16/5.45 % Parsed axioms : 21
% 0.16/5.45 % Removed by relevancy pruning/SinE : 0
% 0.16/5.45 % Initial clauses : 21
% 0.16/5.45 % Removed in clause preprocessing : 0
% 0.16/5.45 % Initial clauses in saturation : 21
% 0.16/5.45 % Processed clauses : 43
% 0.16/5.45 % ...of these trivial : 0
% 0.16/5.45 % ...subsumed : 6
% 0.16/5.45 % ...remaining for further processing : 37
% 0.16/5.45 % Other redundant clauses eliminated : 0
% 0.16/5.45 % Clauses deleted for lack of memory : 0
% 0.16/5.45 % Backward-subsumed : 0
% 0.16/5.45 % Backward-rewritten : 0
% 0.16/5.45 % Generated clauses : 59
% 0.16/5.45 % ...of the previous two non-redundant : 44
% 0.16/5.45 % ...aggressively subsumed : 0
% 0.16/5.45 % Contextual simplify-reflections : 0
% 0.16/5.45 % Paramodulations : 55
% 0.16/5.45 % Factorizations : 4
% 0.16/5.45 % NegExts : 0
% 0.16/5.45 % Equation resolutions : 0
% 0.16/5.45 % Disequality decompositions : 0
% 0.16/5.45 % Total rewrite steps : 5
% 0.16/5.45 % ...of those cached : 2
% 0.16/5.45 % Propositional unsat checks : 0
% 0.16/5.45 % Propositional check models : 0
% 0.16/5.45 % Propositional check unsatisfiable : 0
% 0.16/5.45 % Propositional clauses : 0
% 0.16/5.45 % Propositional clauses after purity: 0
% 0.16/5.45 % Propositional unsat core size : 0
% 0.16/5.45 % Propositional preprocessing time : 0.000
% 0.16/5.45 % Propositional encoding time : 0.000
% 0.16/5.45 % Propositional solver time : 0.000
% 0.16/5.45 % Success case prop preproc time : 0.000
% 0.16/5.45 % Success case prop encoding time : 0.000
% 0.16/5.45 % Success case prop solver time : 0.000
% 0.16/5.45 % Current number of processed clauses : 37
% 0.16/5.45 % Positive orientable unit clauses : 6
% 0.16/5.45 % Positive unorientable unit clauses: 0
% 0.16/5.45 % Negative unit clauses : 2
% 0.16/5.45 % Non-unit-clauses : 29
% 0.16/5.45 % Current number of unprocessed clauses: 22
% 0.16/5.45 % ...number of literals in the above : 68
% 0.16/5.45 % Current number of archived formulas : 0
% 0.16/5.45 % Current number of archived clauses : 0
% 0.16/5.45 % Clause-clause subsumption calls (NU) : 161
% 0.16/5.45 % Rec. Clause-clause subsumption calls : 122
% 0.16/5.45 % Non-unit clause-clause subsumptions : 3
% 0.16/5.45 % Unit Clause-clause subsumption calls : 21
% 0.16/5.45 % Rewrite failures with RHS unbound : 0
% 0.16/5.45 % BW rewrite match attempts : 2
% 0.16/5.45 % BW rewrite match successes : 0
% 0.16/5.45 % Condensation attempts : 0
% 0.16/5.45 % Condensation successes : 0
% 0.16/5.45 % Termbank termtop insertions : 1383
% 0.16/5.45 % Search garbage collected termcells : 56
% 0.16/5.45
% 0.16/5.45 % -------------------------------------------------
% 0.16/5.45 % User time : 0.003 s
% 0.16/5.45 % System time : 0.003 s
% 0.16/5.45 % Total time : 0.005 s
% 0.16/5.45 % Maximum resident set size: 3648 pages
% 0.16/5.45
% 0.16/5.45 % -------------------------------------------------
% 0.16/5.45 % User time : 0.005 s
% 0.16/5.45 % System time : 0.004 s
% 0.16/5.45 % Total time : 0.009 s
% 0.16/5.45 % Maximum resident set size: 4608 pages
% 0.16/5.45 % E exiting
%------------------------------------------------------------------------------