%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV861-1 : 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 : n013.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 03:00:05 PM UTC 2026
% Result : Unsatisfiable 1.29s 0.80s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 11 unt; 0 nHn; 19 RR)
% Number of literals : 33 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_6,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q,X1),X3))
| ~ c_Natural_Oevaln(v_d,X3,v_n,X2)
| hBOOL(hAPP(hAPP(v_R,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_3,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_2,negated_conjecture,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X1),X3))
| ~ c_Natural_Oevaln(v_c,X3,v_n,X2)
| hBOOL(hAPP(hAPP(v_Q,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_6,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q,X1),X3))
| ~ c_Natural_Oevaln(v_d,X3,v_n,X2)
| hBOOL(hAPP(hAPP(v_R,X1),X2)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_7,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_8,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q,X1),X3))
| ~ c_Natural_Oevaln(v_d,X3,v_n,X2)
| hBOOL(hAPP(hAPP(v_R,X1),X2)) ),
c_0_6 ).
cnf(c_0_9,negated_conjecture,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
cls_conjecture_2 ).
cnf(c_0_10,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X1),X3))
| ~ c_Natural_Oevaln(v_c,X3,v_n,X2)
| hBOOL(hAPP(hAPP(v_Q,X1),X2)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_11,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
c_0_7 ).
cnf(c_0_12,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q,X1),v_s1))
| hBOOL(hAPP(hAPP(v_R,X1),v_s_H)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X1),X3))
| ~ c_Natural_Oevaln(v_c,X3,v_n,X2)
| hBOOL(hAPP(hAPP(v_Q,X1),X2)) ),
c_0_10 ).
cnf(c_0_14,negated_conjecture,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
cls_conjecture_1 ).
cnf(c_0_15,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X1),v_s))
| hBOOL(hAPP(hAPP(v_Q,X1),v_s1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
cls_conjecture_0 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n013.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 09:28:22 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.54 Running first-order theorem proving
% 0.27/0.54 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
% 1.29/0.80 % Version: 3.5.1
% 1.29/0.80 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.29/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.29/0.80 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.29/0.80 % Starting new_bool_3 with 300s (1) cores
% 1.29/0.80 % Starting new_bool_1 with 300s (1) cores
% 1.29/0.80 % Starting sh5l with 300s (1) cores
% 1.29/0.80 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 451937 completed with status 0
% 1.29/0.80 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.29/0.80 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.29/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.29/0.80 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.29/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.29/0.80 % No SInE strategy applied
% 1.29/0.80 % Search class: FGHSM-FSLM33-DFFFFFNN
% 1.29/0.80 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1.29/0.80 % Starting SubtermCWHack with 136s (1) cores
% 1.29/0.80 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.29/0.80 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.29/0.80 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1.29/0.80 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 1.29/0.80 % G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with pid 451948 completed with status 0
% 1.29/0.80 % Result found by G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I
% 1.29/0.80 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.29/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.29/0.80 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.29/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.29/0.80 % No SInE strategy applied
% 1.29/0.80 % Search class: FGHSM-FSLM33-DFFFFFNN
% 1.29/0.80 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1.29/0.80 % Starting SubtermCWHack with 136s (1) cores
% 1.29/0.80 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.29/0.80 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.29/0.80 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1.29/0.80 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 1.29/0.80 % Preprocessing time : 0.008 s
% 1.29/0.80 % Presaturation interreduction done
% 1.29/0.80
% 1.29/0.80 % Proof found!
% 1.29/0.80 % SZS status Unsatisfiable
% 1.29/0.80 % SZS output start CNFRefutation
% See solution above
% 1.29/0.80 % Parsed axioms : 606
% 1.29/0.80 % Removed by relevancy pruning/SinE : 0
% 1.29/0.80 % Initial clauses : 606
% 1.29/0.80 % Removed in clause preprocessing : 2
% 1.29/0.80 % Initial clauses in saturation : 604
% 1.29/0.80 % Processed clauses : 687
% 1.29/0.80 % ...of these trivial : 24
% 1.29/0.80 % ...subsumed : 103
% 1.29/0.80 % ...remaining for further processing : 560
% 1.29/0.80 % Other redundant clauses eliminated : 2
% 1.29/0.80 % Clauses deleted for lack of memory : 0
% 1.29/0.80 % Backward-subsumed : 1
% 1.29/0.80 % Backward-rewritten : 12
% 1.29/0.80 % Generated clauses : 26
% 1.29/0.80 % ...of the previous two non-redundant : 27
% 1.29/0.80 % ...aggressively subsumed : 0
% 1.29/0.80 % Contextual simplify-reflections : 3
% 1.29/0.80 % Paramodulations : 23
% 1.29/0.80 % Factorizations : 0
% 1.29/0.80 % NegExts : 0
% 1.29/0.80 % Equation resolutions : 3
% 1.29/0.80 % Disequality decompositions : 0
% 1.29/0.80 % Total rewrite steps : 227
% 1.29/0.80 % ...of those cached : 155
% 1.29/0.80 % Propositional unsat checks : 0
% 1.29/0.80 % Propositional check models : 0
% 1.29/0.80 % Propositional check unsatisfiable : 0
% 1.29/0.80 % Propositional clauses : 0
% 1.29/0.80 % Propositional clauses after purity: 0
% 1.29/0.80 % Propositional unsat core size : 0
% 1.29/0.80 % Propositional preprocessing time : 0.000
% 1.29/0.80 % Propositional encoding time : 0.000
% 1.29/0.80 % Propositional solver time : 0.000
% 1.29/0.80 % Success case prop preproc time : 0.000
% 1.29/0.80 % Success case prop encoding time : 0.000
% 1.29/0.80 % Success case prop solver time : 0.000
% 1.29/0.80 % Current number of processed clauses : 74
% 1.29/0.80 % Positive orientable unit clauses : 34
% 1.29/0.80 % Positive unorientable unit clauses: 0
% 1.29/0.80 % Negative unit clauses : 13
% 1.29/0.80 % Non-unit-clauses : 27
% 1.29/0.80 % Current number of unprocessed clauses: 415
% 1.29/0.80 % ...number of literals in the above : 943
% 1.29/0.80 % Current number of archived formulas : 0
% 1.29/0.80 % Current number of archived clauses : 486
% 1.29/0.80 % Clause-clause subsumption calls (NU) : 27488
% 1.29/0.80 % Rec. Clause-clause subsumption calls : 22393
% 1.29/0.80 % Non-unit clause-clause subsumptions : 86
% 1.29/0.80 % Unit Clause-clause subsumption calls : 582
% 1.29/0.80 % Rewrite failures with RHS unbound : 9
% 1.29/0.80 % BW rewrite match attempts : 181
% 1.29/0.80 % BW rewrite match successes : 26
% 1.29/0.80 % Condensation attempts : 0
% 1.29/0.80 % Condensation successes : 0
% 1.29/0.80 % Termbank termtop insertions : 28871
% 1.29/0.80 % Search garbage collected termcells : 1142
% 1.29/0.80
% 1.29/0.80 % -------------------------------------------------
% 1.29/0.80 % User time : 0.101 s
% 1.29/0.80 % System time : 0.016 s
% 1.29/0.80 % Total time : 0.117 s
% 1.29/0.80 % Maximum resident set size: 4628 pages
% 1.29/0.80
% 1.29/0.80 % -------------------------------------------------
% 1.29/0.80 % User time : 0.458 s
% 1.29/0.80 % System time : 0.059 s
% 1.29/0.80 % Total time : 0.517 s
% 1.29/0.80 % Maximum resident set size: 5376 pages
% 1.29/0.80 % E exiting
%------------------------------------------------------------------------------