%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV911-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 03:00:10 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.55s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 8 unt; 2 nHn; 21 RR)
% Number of literals : 37 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X3,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X3,X2),v_xa))
| hBOOL(hAPP(hAPP(X1,X2),v_xb(X3,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_0_6,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X3,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X3,X2),v_xa))
| hBOOL(hAPP(hAPP(X1,X2),v_xb(X3,X1))) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_7,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X1,X2))) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_8,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X3,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X3,X2),v_xa))
| hBOOL(hAPP(hAPP(X1,X2),v_xb(X3,X1))) ),
c_0_6 ).
cnf(c_0_9,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
cls_conjecture_1 ).
cnf(c_0_10,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X1,X2))) ),
c_0_7 ).
cnf(c_0_11,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X1,X2))) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_12,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
cls_conjecture_0 ).
cnf(c_0_13,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P_H,X1),v_xa))
| hBOOL(hAPP(hAPP(v_Q_H,X1),v_xb(v_P_H,v_Q_H))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
cls_conjecture_2 ).
cnf(c_0_15,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X1,X2))) ),
c_0_11 ).
cnf(c_0_17,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X1),v_xa))
| hBOOL(hAPP(hAPP(v_Q,X1),v_xb(v_P,v_Q))) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_19,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
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
% 0.00/0.02 % Problem : SWV911-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 09:37:14 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.17/0.55 % Version: 3.5.1
% 0.17/0.55 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/0.55 % Starting new_bool_3 with 600s (2) cores
% 0.17/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.55 % Starting sh5l with 300s (1) cores
% 0.17/0.55 % new_bool_3 with pid 2799887 completed with status 0
% 0.17/0.55 % Result found by new_bool_3
% 0.17/0.55 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/0.55 % Starting new_bool_3 with 600s (2) cores
% 0.17/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.55 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.17/0.55 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.17/0.55 % Starting SubtermCWHack with 55s (1) cores
% 0.17/0.55 % Starting new_bool_3 with 61s (1) cores
% 0.17/0.55 % new_bool_3 with pid 2799891 completed with status 0
% 0.17/0.55 % Result found by new_bool_3
% 0.17/0.55 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/0.55 % Starting new_bool_3 with 600s (2) cores
% 0.17/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.55 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.17/0.55 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.17/0.55 % Starting SubtermCWHack with 55s (1) cores
% 0.17/0.55 % Starting new_bool_3 with 61s (1) cores
% 0.17/0.55 % Preprocessing time : 0.006 s
% 0.17/0.55 % Presaturation interreduction done
% 0.17/0.55
% 0.17/0.55 % Proof found!
% 0.17/0.55 % SZS status Unsatisfiable
% 0.17/0.55 % SZS output start CNFRefutation
% See solution above
% 0.17/0.55 % Parsed axioms : 565
% 0.17/0.55 % Removed by relevancy pruning/SinE : 282
% 0.17/0.55 % Initial clauses : 283
% 0.17/0.55 % Removed in clause preprocessing : 0
% 0.17/0.55 % Initial clauses in saturation : 283
% 0.17/0.55 % Processed clauses : 752
% 0.17/0.55 % ...of these trivial : 38
% 0.17/0.55 % ...subsumed : 210
% 0.17/0.55 % ...remaining for further processing : 504
% 0.17/0.55 % Other redundant clauses eliminated : 10
% 0.17/0.55 % Clauses deleted for lack of memory : 0
% 0.17/0.55 % Backward-subsumed : 1
% 0.17/0.55 % Backward-rewritten : 28
% 0.17/0.55 % Generated clauses : 2763
% 0.17/0.55 % ...of the previous two non-redundant : 2038
% 0.17/0.55 % ...aggressively subsumed : 0
% 0.17/0.55 % Contextual simplify-reflections : 3
% 0.17/0.55 % Paramodulations : 2748
% 0.17/0.55 % Factorizations : 0
% 0.17/0.55 % NegExts : 0
% 0.17/0.55 % Equation resolutions : 15
% 0.17/0.55 % Disequality decompositions : 0
% 0.17/0.55 % Total rewrite steps : 1518
% 0.17/0.55 % ...of those cached : 1179
% 0.17/0.55 % Propositional unsat checks : 0
% 0.17/0.55 % Propositional check models : 0
% 0.17/0.55 % Propositional check unsatisfiable : 0
% 0.17/0.55 % Propositional clauses : 0
% 0.17/0.55 % Propositional clauses after purity: 0
% 0.17/0.55 % Propositional unsat core size : 0
% 0.17/0.55 % Propositional preprocessing time : 0.000
% 0.17/0.55 % Propositional encoding time : 0.000
% 0.17/0.55 % Propositional solver time : 0.000
% 0.17/0.55 % Success case prop preproc time : 0.000
% 0.17/0.55 % Success case prop encoding time : 0.000
% 0.17/0.55 % Success case prop solver time : 0.000
% 0.17/0.55 % Current number of processed clauses : 253
% 0.17/0.55 % Positive orientable unit clauses : 82
% 0.17/0.55 % Positive unorientable unit clauses: 9
% 0.17/0.55 % Negative unit clauses : 13
% 0.17/0.55 % Non-unit-clauses : 149
% 0.17/0.55 % Current number of unprocessed clauses: 1763
% 0.17/0.55 % ...number of literals in the above : 3238
% 0.17/0.55 % Current number of archived formulas : 0
% 0.17/0.55 % Current number of archived clauses : 250
% 0.17/0.55 % Clause-clause subsumption calls (NU) : 7564
% 0.17/0.55 % Rec. Clause-clause subsumption calls : 6925
% 0.17/0.55 % Non-unit clause-clause subsumptions : 149
% 0.17/0.55 % Unit Clause-clause subsumption calls : 287
% 0.17/0.55 % Rewrite failures with RHS unbound : 0
% 0.17/0.55 % BW rewrite match attempts : 331
% 0.17/0.55 % BW rewrite match successes : 86
% 0.17/0.55 % Condensation attempts : 0
% 0.17/0.55 % Condensation successes : 0
% 0.17/0.55 % Termbank termtop insertions : 66980
% 0.17/0.55 % Search garbage collected termcells : 1720
% 0.17/0.55
% 0.17/0.55 % -------------------------------------------------
% 0.17/0.55 % User time : 0.093 s
% 0.17/0.55 % System time : 0.009 s
% 0.17/0.55 % Total time : 0.102 s
% 0.17/0.55 % Maximum resident set size: 4612 pages
% 0.17/0.55
% 0.17/0.55 % -------------------------------------------------
% 0.17/0.55 % User time : 0.200 s
% 0.17/0.55 % System time : 0.017 s
% 0.17/0.55 % Total time : 0.217 s
% 0.17/0.55 % Maximum resident set size: 5120 pages
% 0.17/0.55 % E exiting
%------------------------------------------------------------------------------