%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV857-1 : 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 : n008.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 0.39s 0.73s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 10 unt; 0 nHn; 21 RR)
% Number of literals : 41 ( 0 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 35 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_rev__predicate1D_0,axiom,
( ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_mem__def_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_7,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_8,plain,
( ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_9,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_10,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a) ),
c_0_7 ).
cnf(c_0_11,plain,
( ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
c_0_8 ).
cnf(c_0_12,plain,
( ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_rev__predicate1D_0]) ).
cnf(c_0_13,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
c_0_9 ).
cnf(c_0_15,negated_conjecture,
( ~ hBOOL(hAPP(v_Ga,X1))
| c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| hBOOL(hAPP(X1,X2)) ),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
cls_conjecture_0 ).
cnf(c_0_18,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
| hBOOL(hAPP(X1,X2)) ),
c_0_13 ).
cnf(c_0_19,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
cls_conjecture_1 ).
cnf(c_0_20,negated_conjecture,
~ hBOOL(hAPP(v_Ga,v_xa)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( ~ hBOOL(hAPP(v_tsa,X1))
| hBOOL(hAPP(v_Ga,X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
hBOOL(hAPP(v_tsa,v_xa)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV857-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.52 % Computer : n008.cluster.edu
% 0.21/0.52 % Model : x86_64 x86_64
% 0.21/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.52 % Memory : 8046.5625MB
% 0.21/0.52 % OS : Linux 6.8.0-71-generic
% 0.21/0.52 % CPULimit : 300
% 0.21/0.52 % WCLimit : 300
% 0.21/0.52 % DateTime : Mon Sep 21 09:29:39 UTC 2026
% 0.21/0.52 % CPUTime :
% 0.21/0.52 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.59 Running first-order theorem proving
% 0.21/0.60 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
% 0.39/0.73 % Version: 3.5.1
% 0.39/0.73 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.73 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.73 % Starting new_bool_3 with 300s (1) cores
% 0.39/0.73 % Starting new_bool_1 with 300s (1) cores
% 0.39/0.73 % Starting sh5l with 300s (1) cores
% 0.39/0.73 % new_bool_3 with pid 674297 completed with status 0
% 0.39/0.73 % Result found by new_bool_3
% 0.39/0.73 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.73 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.73 % Starting new_bool_3 with 300s (1) cores
% 0.39/0.73 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.39/0.73 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.73 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.39/0.73 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.73 % Starting SubtermCWHack with 28s (1) cores
% 0.39/0.73 % SubtermCWHack with pid 674302 completed with status 0
% 0.39/0.73 % Result found by SubtermCWHack
% 0.39/0.73 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.73 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.73 % Starting new_bool_3 with 300s (1) cores
% 0.39/0.73 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.39/0.73 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.73 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.39/0.73 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.73 % Starting SubtermCWHack with 28s (1) cores
% 0.39/0.73 % Preprocessing time : 0.007 s
% 0.39/0.73
% 0.39/0.73 % Proof found!
% 0.39/0.73 % SZS status Unsatisfiable
% 0.39/0.73 % SZS output start CNFRefutation
% See solution above
% 0.39/0.73 % Parsed axioms : 586
% 0.39/0.73 % Removed by relevancy pruning/SinE : 281
% 0.39/0.73 % Initial clauses : 305
% 0.39/0.73 % Removed in clause preprocessing : 0
% 0.39/0.73 % Initial clauses in saturation : 305
% 0.39/0.73 % Processed clauses : 221
% 0.39/0.73 % ...of these trivial : 28
% 0.39/0.73 % ...subsumed : 65
% 0.39/0.73 % ...remaining for further processing : 128
% 0.39/0.73 % Other redundant clauses eliminated : 10
% 0.39/0.73 % Clauses deleted for lack of memory : 0
% 0.39/0.73 % Backward-subsumed : 0
% 0.39/0.73 % Backward-rewritten : 1
% 0.39/0.73 % Generated clauses : 531
% 0.39/0.73 % ...of the previous two non-redundant : 222
% 0.39/0.73 % ...aggressively subsumed : 0
% 0.39/0.73 % Contextual simplify-reflections : 0
% 0.39/0.73 % Paramodulations : 520
% 0.39/0.73 % Factorizations : 0
% 0.39/0.73 % NegExts : 0
% 0.39/0.73 % Equation resolutions : 11
% 0.39/0.73 % Disequality decompositions : 0
% 0.39/0.73 % Total rewrite steps : 400
% 0.39/0.73 % ...of those cached : 332
% 0.39/0.73 % Propositional unsat checks : 0
% 0.39/0.73 % Propositional check models : 0
% 0.39/0.73 % Propositional check unsatisfiable : 0
% 0.39/0.73 % Propositional clauses : 0
% 0.39/0.73 % Propositional clauses after purity: 0
% 0.39/0.73 % Propositional unsat core size : 0
% 0.39/0.73 % Propositional preprocessing time : 0.000
% 0.39/0.73 % Propositional encoding time : 0.000
% 0.39/0.73 % Propositional solver time : 0.000
% 0.39/0.73 % Success case prop preproc time : 0.000
% 0.39/0.73 % Success case prop encoding time : 0.000
% 0.39/0.73 % Success case prop solver time : 0.000
% 0.39/0.73 % Current number of processed clauses : 127
% 0.39/0.73 % Positive orientable unit clauses : 52
% 0.39/0.73 % Positive unorientable unit clauses: 4
% 0.39/0.73 % Negative unit clauses : 8
% 0.39/0.73 % Non-unit-clauses : 63
% 0.39/0.73 % Current number of unprocessed clauses: 306
% 0.39/0.73 % ...number of literals in the above : 672
% 0.39/0.73 % Current number of archived formulas : 0
% 0.39/0.73 % Current number of archived clauses : 1
% 0.39/0.73 % Clause-clause subsumption calls (NU) : 390
% 0.39/0.73 % Rec. Clause-clause subsumption calls : 390
% 0.39/0.73 % Non-unit clause-clause subsumptions : 54
% 0.39/0.73 % Unit Clause-clause subsumption calls : 21
% 0.39/0.73 % Rewrite failures with RHS unbound : 0
% 0.39/0.73 % BW rewrite match attempts : 196
% 0.39/0.73 % BW rewrite match successes : 21
% 0.39/0.73 % Condensation attempts : 0
% 0.39/0.73 % Condensation successes : 0
% 0.39/0.73 % Termbank termtop insertions : 16762
% 0.39/0.73 % Search garbage collected termcells : 1516
% 0.39/0.73
% 0.39/0.73 % -------------------------------------------------
% 0.39/0.73 % User time : 0.035 s
% 0.39/0.73 % System time : 0.004 s
% 0.39/0.73 % Total time : 0.038 s
% 0.39/0.73 % Maximum resident set size: 4316 pages
% 0.39/0.73
% 0.39/0.73 % -------------------------------------------------
% 0.39/0.73 % User time : 0.066 s
% 0.39/0.73 % System time : 0.010 s
% 0.39/0.73 % Total time : 0.076 s
% 0.39/0.73 % Maximum resident set size: 5376 pages
% 0.39/0.73 % E exiting
%------------------------------------------------------------------------------