%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV854-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 03:00:04 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.54s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 9 unt; 0 nHn; 17 RR)
% Number of literals : 33 ( 0 equ; 15 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 37 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ hBOOL(c_in(X1,v_Procs,tc_Com_Opname))
| c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X1),c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),hAPP(v_Q,X1),t_a),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Body__triple__valid__Suc_0,axiom,
( ~ c_Hoare__Mirabelle_Otriple__valid(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(c_Com_Obody(X3),tc_Com_Ocom),X4,X5),X5)
| c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X1),c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Body__triple__valid__Suc_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_6,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_7,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_8,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
c_0_6 ).
cnf(c_0_9,negated_conjecture,
hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
cls_conjecture_0 ).
cnf(c_0_10,negated_conjecture,
( ~ hBOOL(c_in(X1,v_Procs,tc_Com_Opname))
| c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X1),c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),hAPP(v_Q,X1),t_a),t_a) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_11,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
c_0_7 ).
cnf(c_0_12,negated_conjecture,
hBOOL(hAPP(v_Procs,v_x)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(c_Com_Obody(X3),tc_Com_Ocom),X4,X5),X5)
| c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X1),c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),X5) ),
inference(fof_simplification,[status(thm)],[cls_Body__triple__valid__Suc_0]) ).
cnf(c_0_14,negated_conjecture,
( ~ hBOOL(c_in(X1,v_Procs,tc_Com_Opname))
| c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X1),c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),hAPP(v_Q,X1),t_a),t_a) ),
c_0_10 ).
cnf(c_0_15,negated_conjecture,
hBOOL(c_in(v_x,v_Procs,X1)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_17,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(c_Com_Obody(X3),tc_Com_Ocom),X4,X5),X5)
| c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X1),c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),X5) ),
c_0_13 ).
cnf(c_0_18,negated_conjecture,
c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
c_0_16 ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV854-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:31:16 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.17/0.54 % Version: 3.5.1
% 0.17/0.54 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/0.54 % Starting new_bool_3 with 600s (2) cores
% 0.17/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.54 % Starting sh5l with 300s (1) cores
% 0.17/0.54 % new_bool_3 with pid 2973017 completed with status 0
% 0.17/0.54 % Result found by new_bool_3
% 0.17/0.54 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/0.54 % Starting new_bool_3 with 600s (2) cores
% 0.17/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/0.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.54 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.17/0.54 % Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.17/0.54 % Starting SubtermCWHack with 55s (1) cores
% 0.17/0.54 % Starting new_bool_3 with 61s (1) cores
% 0.17/0.54 % new_bool_3 with pid 2973021 completed with status 0
% 0.17/0.54 % Result found by new_bool_3
% 0.17/0.54 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.54 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/0.54 % Starting new_bool_3 with 600s (2) cores
% 0.17/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/0.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.54 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.17/0.54 % Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.17/0.54 % Starting SubtermCWHack with 55s (1) cores
% 0.17/0.54 % Starting new_bool_3 with 61s (1) cores
% 0.17/0.54 % Preprocessing time : 0.006 s
% 0.17/0.54 % Presaturation interreduction done
% 0.17/0.54
% 0.17/0.54 % Proof found!
% 0.17/0.54 % SZS status Unsatisfiable
% 0.17/0.54 % SZS output start CNFRefutation
% See solution above
% 0.17/0.54 % Parsed axioms : 763
% 0.17/0.54 % Removed by relevancy pruning/SinE : 370
% 0.17/0.54 % Initial clauses : 393
% 0.17/0.54 % Removed in clause preprocessing : 0
% 0.17/0.54 % Initial clauses in saturation : 393
% 0.17/0.54 % Processed clauses : 1282
% 0.17/0.54 % ...of these trivial : 27
% 0.17/0.54 % ...subsumed : 615
% 0.17/0.54 % ...remaining for further processing : 640
% 0.17/0.54 % Other redundant clauses eliminated : 10
% 0.17/0.54 % Clauses deleted for lack of memory : 0
% 0.17/0.54 % Backward-subsumed : 0
% 0.17/0.54 % Backward-rewritten : 6
% 0.17/0.54 % Generated clauses : 2657
% 0.17/0.54 % ...of the previous two non-redundant : 2121
% 0.17/0.54 % ...aggressively subsumed : 0
% 0.17/0.54 % Contextual simplify-reflections : 1
% 0.17/0.54 % Paramodulations : 2619
% 0.17/0.54 % Factorizations : 4
% 0.17/0.54 % NegExts : 0
% 0.17/0.54 % Equation resolutions : 34
% 0.17/0.54 % Disequality decompositions : 0
% 0.17/0.54 % Total rewrite steps : 1043
% 0.17/0.54 % ...of those cached : 840
% 0.17/0.54 % Propositional unsat checks : 0
% 0.17/0.54 % Propositional check models : 0
% 0.17/0.54 % Propositional check unsatisfiable : 0
% 0.17/0.54 % Propositional clauses : 0
% 0.17/0.54 % Propositional clauses after purity: 0
% 0.17/0.54 % Propositional unsat core size : 0
% 0.17/0.54 % Propositional preprocessing time : 0.000
% 0.17/0.54 % Propositional encoding time : 0.000
% 0.17/0.54 % Propositional solver time : 0.000
% 0.17/0.54 % Success case prop preproc time : 0.000
% 0.17/0.54 % Success case prop encoding time : 0.000
% 0.17/0.54 % Success case prop solver time : 0.000
% 0.17/0.54 % Current number of processed clauses : 353
% 0.17/0.54 % Positive orientable unit clauses : 65
% 0.17/0.54 % Positive unorientable unit clauses: 5
% 0.17/0.54 % Negative unit clauses : 130
% 0.17/0.54 % Non-unit-clauses : 153
% 0.17/0.54 % Current number of unprocessed clauses: 1512
% 0.17/0.54 % ...number of literals in the above : 2573
% 0.17/0.54 % Current number of archived formulas : 0
% 0.17/0.54 % Current number of archived clauses : 286
% 0.17/0.54 % Clause-clause subsumption calls (NU) : 15389
% 0.17/0.54 % Rec. Clause-clause subsumption calls : 13950
% 0.17/0.54 % Non-unit clause-clause subsumptions : 124
% 0.17/0.54 % Unit Clause-clause subsumption calls : 2056
% 0.17/0.54 % Rewrite failures with RHS unbound : 0
% 0.17/0.54 % BW rewrite match attempts : 82
% 0.17/0.54 % BW rewrite match successes : 50
% 0.17/0.54 % Condensation attempts : 0
% 0.17/0.54 % Condensation successes : 0
% 0.17/0.54 % Termbank termtop insertions : 53049
% 0.17/0.54 % Search garbage collected termcells : 1985
% 0.17/0.54
% 0.17/0.54 % -------------------------------------------------
% 0.17/0.54 % User time : 0.080 s
% 0.17/0.54 % System time : 0.006 s
% 0.17/0.54 % Total time : 0.086 s
% 0.17/0.54 % Maximum resident set size: 4664 pages
% 0.17/0.54
% 0.17/0.54 % -------------------------------------------------
% 0.17/0.54 % User time : 0.172 s
% 0.17/0.54 % System time : 0.018 s
% 0.17/0.54 % Total time : 0.190 s
% 0.17/0.54 % Maximum resident set size: 5120 pages
% 0.17/0.54 % E exiting
%------------------------------------------------------------------------------