%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC348-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 02:44:02 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.57s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 43 ( 23 unt; 3 nHn; 41 RR)
% Number of literals : 76 ( 15 equ; 35 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause66,axiom,
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause66) ).
cnf(clause101,axiom,
( ~ ssList(X1)
| ~ singletonP(X1)
| cons(skaf44(X1),nil) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).
cnf(co1_8,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_9,negated_conjecture,
( ~ strictorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_7,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(clause47,axiom,
ssItem(skaf44(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(clause100,axiom,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(co1_4,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause80,axiom,
( ~ ssList(X1)
| ~ segmentP(nil,X1)
| nil = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
cnf(clause3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause3) ).
cnf(c_0_14,plain,
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
cnf(c_0_15,plain,
( ~ ssList(X1)
| ~ singletonP(X1)
| cons(skaf44(X1),nil) = X1 ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_16,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(fof_simplification,[status(thm)],[co1_8]) ).
cnf(c_0_17,negated_conjecture,
( ~ strictorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(fof_simplification,[status(thm)],[co1_9]) ).
cnf(c_0_18,negated_conjecture,
segmentP(sk4,sk3),
co1_7 ).
cnf(c_0_19,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_20,plain,
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
c_0_14 ).
cnf(c_0_21,plain,
( ~ ssList(X1)
| ~ singletonP(X1)
| cons(skaf44(X1),nil) = X1 ),
c_0_15 ).
cnf(c_0_22,axiom,
ssItem(skaf44(X1)),
clause47 ).
cnf(c_0_23,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
c_0_16 ).
cnf(c_0_24,negated_conjecture,
( ~ strictorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
c_0_17 ).
cnf(c_0_25,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_26,negated_conjecture,
segmentP(sk4,sk1),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,plain,
( ~ ssList(X1)
| ~ singletonP(X1)
| strictorderedP(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_28,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk1) ),
inference(rw,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_29,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_30,negated_conjecture,
~ strictorderedP(sk1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_31,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_32,negated_conjecture,
~ neq(sk4,nil),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_33,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| X2 = X1
| neq(X2,X1) ),
c_0_31 ).
cnf(c_0_34,negated_conjecture,
ssList(sk4),
co1_4 ).
cnf(c_0_35,axiom,
ssList(nil),
clause8 ).
cnf(c_0_36,plain,
( ~ ssList(X1)
| ~ segmentP(nil,X1)
| nil = X1 ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_37,negated_conjecture,
sk4 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_38,plain,
( ~ ssList(X1)
| ~ segmentP(nil,X1)
| nil = X1 ),
c_0_36 ).
cnf(c_0_39,negated_conjecture,
segmentP(nil,sk1),
inference(rw,[status(thm)],[c_0_26,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
sk1 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_29])]) ).
cnf(c_0_41,axiom,
strictorderedP(nil),
clause3 ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_40]),c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC348-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n014.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 08:17:34 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 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
% 0.22/0.57 % Version: 3.5.1
% 0.22/0.57 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.57 % Starting sh5l with 300s (1) cores
% 0.22/0.57 % sh5l with pid 3619166 completed with status 0
% 0.22/0.57 % Result found by sh5l
% 0.22/0.57 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.57 % Starting sh5l with 300s (1) cores
% 0.22/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.22/0.57 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.57 % Search class: FGHSM-FSLM21-MFFFFFNN
% 0.22/0.57 % Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.57 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.57 % SubtermCWHack with pid 3619173 completed with status 0
% 0.22/0.57 % Result found by SubtermCWHack
% 0.22/0.57 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.57 % Starting sh5l with 300s (1) cores
% 0.22/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.22/0.57 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.57 % Search class: FGHSM-FSLM21-MFFFFFNN
% 0.22/0.57 % Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.57 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.57 % Preprocessing time : 0.004 s
% 0.22/0.57
% 0.22/0.57 % Proof found!
% 0.22/0.57 % SZS status Unsatisfiable
% 0.22/0.57 % SZS output start CNFRefutation
% See solution above
% 0.22/0.57 % Parsed axioms : 194
% 0.22/0.57 % Removed by relevancy pruning/SinE : 35
% 0.22/0.57 % Initial clauses : 159
% 0.22/0.57 % Removed in clause preprocessing : 0
% 0.22/0.57 % Initial clauses in saturation : 159
% 0.22/0.57 % Processed clauses : 94
% 0.22/0.57 % ...of these trivial : 0
% 0.22/0.57 % ...subsumed : 4
% 0.22/0.57 % ...remaining for further processing : 90
% 0.22/0.57 % Other redundant clauses eliminated : 7
% 0.22/0.57 % Clauses deleted for lack of memory : 0
% 0.22/0.57 % Backward-subsumed : 1
% 0.22/0.57 % Backward-rewritten : 10
% 0.22/0.57 % Generated clauses : 20
% 0.22/0.57 % ...of the previous two non-redundant : 18
% 0.22/0.57 % ...aggressively subsumed : 0
% 0.22/0.57 % Contextual simplify-reflections : 0
% 0.22/0.57 % Paramodulations : 14
% 0.22/0.57 % Factorizations : 0
% 0.22/0.57 % NegExts : 0
% 0.22/0.57 % Equation resolutions : 7
% 0.22/0.57 % Disequality decompositions : 0
% 0.22/0.57 % Total rewrite steps : 40
% 0.22/0.57 % ...of those cached : 29
% 0.22/0.57 % Propositional unsat checks : 0
% 0.22/0.57 % Propositional check models : 0
% 0.22/0.57 % Propositional check unsatisfiable : 0
% 0.22/0.57 % Propositional clauses : 0
% 0.22/0.57 % Propositional clauses after purity: 0
% 0.22/0.57 % Propositional unsat core size : 0
% 0.22/0.57 % Propositional preprocessing time : 0.000
% 0.22/0.57 % Propositional encoding time : 0.000
% 0.22/0.57 % Propositional solver time : 0.000
% 0.22/0.57 % Success case prop preproc time : 0.000
% 0.22/0.57 % Success case prop encoding time : 0.000
% 0.22/0.57 % Success case prop solver time : 0.000
% 0.22/0.57 % Current number of processed clauses : 75
% 0.22/0.57 % Positive orientable unit clauses : 35
% 0.22/0.57 % Positive unorientable unit clauses: 0
% 0.22/0.57 % Negative unit clauses : 2
% 0.22/0.57 % Non-unit-clauses : 38
% 0.22/0.57 % Current number of unprocessed clauses: 83
% 0.22/0.57 % ...number of literals in the above : 408
% 0.22/0.57 % Current number of archived formulas : 0
% 0.22/0.57 % Current number of archived clauses : 11
% 0.22/0.57 % Clause-clause subsumption calls (NU) : 309
% 0.22/0.57 % Rec. Clause-clause subsumption calls : 247
% 0.22/0.57 % Non-unit clause-clause subsumptions : 2
% 0.22/0.57 % Unit Clause-clause subsumption calls : 42
% 0.22/0.57 % Rewrite failures with RHS unbound : 0
% 0.22/0.57 % BW rewrite match attempts : 4
% 0.22/0.57 % BW rewrite match successes : 4
% 0.22/0.57 % Condensation attempts : 0
% 0.22/0.57 % Condensation successes : 0
% 0.22/0.57 % Termbank termtop insertions : 6934
% 0.22/0.57 % Search garbage collected termcells : 626
% 0.22/0.57
% 0.22/0.57 % -------------------------------------------------
% 0.22/0.57 % User time : 0.016 s
% 0.22/0.57 % System time : 0.003 s
% 0.22/0.57 % Total time : 0.019 s
% 0.22/0.57 % Maximum resident set size: 4012 pages
% 0.22/0.57
% 0.22/0.57 % -------------------------------------------------
% 0.22/0.57 % User time : 0.023 s
% 0.22/0.57 % System time : 0.010 s
% 0.22/0.57 % Total time : 0.033 s
% 0.22/0.57 % Maximum resident set size: 4864 pages
% 0.22/0.57 % E exiting
%------------------------------------------------------------------------------