%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC181-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 02:43:21 PM UTC 2026
% Result : Unsatisfiable 0.20s 10.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 35 ( 20 unt; 6 nHn; 25 RR)
% Number of literals : 88 ( 8 equ; 55 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_13,negated_conjecture,
~ duplicatefreeP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(clause181,axiom,
( ~ ssList(X6)
| ~ strictorderedP(X6)
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X5)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| lt(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause181) ).
cnf(clause72,axiom,
( ~ ssList(X1)
| ssItem(X2)
| duplicatefreeP(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(clause63,axiom,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause63) ).
cnf(clause162,axiom,
( ~ ssList(X1)
| app(app(skaf75(X1),cons(skaf74(X1),skaf76(X1))),cons(skaf74(X1),skaf77(X1))) = X1
| duplicatefreeP(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause162) ).
cnf(clause18,axiom,
ssList(skaf77(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause18) ).
cnf(clause19,axiom,
ssList(skaf76(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause19) ).
cnf(clause20,axiom,
ssList(skaf75(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause20) ).
cnf(co1_10,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(c_0_11,negated_conjecture,
~ duplicatefreeP(sk1),
inference(fof_simplification,[status(thm)],[co1_13]) ).
cnf(c_0_12,plain,
( ~ ssList(X6)
| ~ strictorderedP(X6)
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X5)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| lt(X2,X4) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_13,plain,
( ~ ssList(X1)
| ssItem(X2)
| duplicatefreeP(X1) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_14,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_15,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_16,negated_conjecture,
~ duplicatefreeP(sk1),
c_0_11 ).
cnf(c_0_17,plain,
( ~ ssList(X6)
| ~ strictorderedP(X6)
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X5)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| lt(X2,X4) ),
c_0_12 ).
cnf(c_0_18,plain,
( ~ ssList(X1)
| ssItem(X2)
| duplicatefreeP(X1) ),
c_0_13 ).
cnf(c_0_19,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
~ duplicatefreeP(sk3),
inference(rw,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_21,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_22,plain,
( ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssItem(X1)
| ~ ssItem(X2)
| lt(X1,X2) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
ssItem(X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_24,plain,
( ~ ssList(X1)
| app(app(skaf75(X1),cons(skaf74(X1),skaf76(X1))),cons(skaf74(X1),skaf77(X1))) = X1
| duplicatefreeP(X1) ),
inference(fof_simplification,[status(thm)],[clause162]) ).
cnf(c_0_25,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
c_0_21 ).
cnf(c_0_26,plain,
( ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| lt(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23])]) ).
cnf(c_0_27,plain,
( ~ ssList(X1)
| app(app(skaf75(X1),cons(skaf74(X1),skaf76(X1))),cons(skaf74(X1),skaf77(X1))) = X1
| duplicatefreeP(X1) ),
c_0_24 ).
cnf(c_0_28,axiom,
ssList(skaf77(X1)),
clause18 ).
cnf(c_0_29,axiom,
ssList(skaf76(X1)),
clause19 ).
cnf(c_0_30,axiom,
ssList(skaf75(X1)),
clause20 ).
cnf(c_0_31,plain,
~ lt(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_23])]) ).
cnf(c_0_32,plain,
( ~ strictorderedP(X1)
| ~ ssList(X1)
| duplicatefreeP(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_33,negated_conjecture,
strictorderedP(sk3),
co1_10 ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_32]),c_0_19]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC181-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/10.44 % Computer : n026.cluster.edu
% 0.17/10.44 % Model : x86_64 x86_64
% 0.17/10.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.44 % Memory : 8046.5625MB
% 0.17/10.44 % OS : Linux 6.8.0-71-generic
% 0.17/10.44 % CPULimit : 300
% 0.17/10.44 % WCLimit : 300
% 0.17/10.44 % DateTime : Mon Sep 21 08:05:18 UTC 2026
% 0.17/10.45 % CPUTime :
% 0.17/10.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/10.49 Running first-order theorem proving
% 0.17/10.49 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
% 0.20/10.58 % Version: 3.5.1
% 0.20/10.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/10.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/10.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/10.58 % Starting new_bool_3 with 300s (1) cores
% 0.20/10.58 % Starting new_bool_1 with 300s (1) cores
% 0.20/10.58 % Starting sh5l with 300s (1) cores
% 0.20/10.58 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1794594 completed with status 0
% 0.20/10.58 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.20/10.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/10.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/10.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/10.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/10.58 % No SInE strategy applied
% 0.20/10.58 % Search class: FGHSM-FSLM21-MFFFFFNN
% 0.20/10.58 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/10.58 % Starting SubtermCWHack with 136s (1) cores
% 0.20/10.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/10.58 % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 0.20/10.58 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.20/10.58 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.20/10.58 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1794601 completed with status 0
% 0.20/10.58 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.20/10.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/10.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/10.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/10.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/10.58 % No SInE strategy applied
% 0.20/10.58 % Search class: FGHSM-FSLM21-MFFFFFNN
% 0.20/10.58 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/10.58 % Starting SubtermCWHack with 136s (1) cores
% 0.20/10.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/10.58 % Preprocessing time : 0.004 s
% 0.20/10.58 % Presaturation interreduction done
% 0.20/10.58
% 0.20/10.58 % Proof found!
% 0.20/10.58 % SZS status Unsatisfiable
% 0.20/10.58 % SZS output start CNFRefutation
% See solution above
% 0.20/10.58 % Parsed axioms : 199
% 0.20/10.58 % Removed by relevancy pruning/SinE : 0
% 0.20/10.58 % Initial clauses : 199
% 0.20/10.58 % Removed in clause preprocessing : 0
% 0.20/10.58 % Initial clauses in saturation : 199
% 0.20/10.58 % Processed clauses : 594
% 0.20/10.58 % ...of these trivial : 3
% 0.20/10.58 % ...subsumed : 100
% 0.20/10.58 % ...remaining for further processing : 491
% 0.20/10.58 % Other redundant clauses eliminated : 72
% 0.20/10.58 % Clauses deleted for lack of memory : 0
% 0.20/10.58 % Backward-subsumed : 7
% 0.20/10.58 % Backward-rewritten : 28
% 0.20/10.58 % Generated clauses : 1704
% 0.20/10.58 % ...of the previous two non-redundant : 1375
% 0.20/10.58 % ...aggressively subsumed : 0
% 0.20/10.58 % Contextual simplify-reflections : 4
% 0.20/10.58 % Paramodulations : 1628
% 0.20/10.58 % Factorizations : 0
% 0.20/10.58 % NegExts : 0
% 0.20/10.58 % Equation resolutions : 77
% 0.20/10.58 % Disequality decompositions : 0
% 0.20/10.58 % Total rewrite steps : 1964
% 0.20/10.58 % ...of those cached : 1851
% 0.20/10.58 % Propositional unsat checks : 0
% 0.20/10.58 % Propositional check models : 0
% 0.20/10.58 % Propositional check unsatisfiable : 0
% 0.20/10.58 % Propositional clauses : 0
% 0.20/10.58 % Propositional clauses after purity: 0
% 0.20/10.58 % Propositional unsat core size : 0
% 0.20/10.58 % Propositional preprocessing time : 0.000
% 0.20/10.58 % Propositional encoding time : 0.000
% 0.20/10.58 % Propositional solver time : 0.000
% 0.20/10.58 % Success case prop preproc time : 0.000
% 0.20/10.58 % Success case prop encoding time : 0.000
% 0.20/10.58 % Success case prop solver time : 0.000
% 0.20/10.58 % Current number of processed clauses : 242
% 0.20/10.58 % Positive orientable unit clauses : 59
% 0.20/10.58 % Positive unorientable unit clauses: 0
% 0.20/10.58 % Negative unit clauses : 6
% 0.20/10.58 % Non-unit-clauses : 177
% 0.20/10.58 % Current number of unprocessed clauses: 1138
% 0.20/10.58 % ...number of literals in the above : 5396
% 0.20/10.58 % Current number of archived formulas : 0
% 0.20/10.58 % Current number of archived clauses : 226
% 0.20/10.58 % Clause-clause subsumption calls (NU) : 14036
% 0.20/10.58 % Rec. Clause-clause subsumption calls : 3858
% 0.20/10.58 % Non-unit clause-clause subsumptions : 98
% 0.20/10.58 % Unit Clause-clause subsumption calls : 85
% 0.20/10.58 % Rewrite failures with RHS unbound : 0
% 0.20/10.58 % BW rewrite match attempts : 21
% 0.20/10.58 % BW rewrite match successes : 18
% 0.20/10.58 % Condensation attempts : 0
% 0.20/10.58 % Condensation successes : 0
% 0.20/10.58 % Termbank termtop insertions : 35248
% 0.20/10.58 % Search garbage collected termcells : 554
% 0.20/10.58
% 0.20/10.58 % -------------------------------------------------
% 0.20/10.58 % User time : 0.058 s
% 0.20/10.58 % System time : 0.006 s
% 0.20/10.58 % Total time : 0.065 s
% 0.20/10.58 % Maximum resident set size: 4068 pages
% 0.20/10.58
% 0.20/10.58 % -------------------------------------------------
% 0.20/10.58 % User time : 0.283 s
% 0.20/10.58 % System time : 0.030 s
% 0.20/10.58 % Total time : 0.313 s
% 0.20/10.58 % Maximum resident set size: 5120 pages
% 0.20/10.58 % E exiting
%------------------------------------------------------------------------------