%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW400-1 : TPTP v9.3.1. Released v5.2.0.
% 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 03:10:27 PM UTC 2026
% Result : Unsatisfiable 1.60s 0.75s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 15 unt; 5 nHn; 20 RR)
% Number of literals : 38 ( 12 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unfolding_2,axiom,
( ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4)))
| heap(sep(lseg(X1,X3),X4))
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(unfolding_3,axiom,
( ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3)))
| heap(sep(lseg(X1,nil),X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).
cnf(associative_commutative,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
cnf(premise_3,hypothesis,
heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
cnf(premise_2,hypothesis,
nil != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x1,nil),emp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
cnf(c_0_7,plain,
( ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4)))
| heap(sep(lseg(X1,X3),X4))
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[unfolding_2]) ).
cnf(c_0_8,plain,
( ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4)))
| heap(sep(lseg(X1,X3),X4))
| X1 = X2 ),
c_0_7 ).
cnf(c_0_9,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_10,plain,
( ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3)))
| heap(sep(lseg(X1,nil),X3)) ),
inference(fof_simplification,[status(thm)],[unfolding_3]) ).
cnf(c_0_11,plain,
( ~ heap(sep(next(X1,X2),X3))
| heap(sep(lseg(X1,X2),X3))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_13,hypothesis,
heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
premise_3 ).
cnf(c_0_14,hypothesis,
nil != x2,
inference(fof_simplification,[status(thm)],[premise_2]) ).
cnf(c_0_15,plain,
( ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3)))
| heap(sep(lseg(X1,nil),X3)) ),
c_0_10 ).
cnf(c_0_16,plain,
( ~ heap(sep(X3,sep(next(X1,X2),X4)))
| heap(sep(lseg(X1,X2),sep(X3,X4)))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,hypothesis,
heap(sep(lseg(x1,x2),sep(next(x2,nil),emp))),
inference(rw,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_18,hypothesis,
nil != x2,
c_0_14 ).
cnf(c_0_19,negated_conjecture,
~ heap(sep(lseg(x1,nil),emp)),
inference(fof_simplification,[status(thm)],[conclusion_1]) ).
cnf(c_0_20,plain,
( ~ heap(sep(lseg(X3,nil),sep(lseg(X1,X3),X2)))
| heap(sep(lseg(X1,nil),X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_21,hypothesis,
heap(sep(lseg(x2,nil),sep(lseg(x1,x2),emp))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ heap(sep(lseg(x1,nil),emp)),
c_0_19 ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW400-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 09:56:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.45 Running first-order theorem proving
% 0.16/0.45 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
% 1.60/0.75 % Version: 3.5.1
% 1.60/0.75 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.60/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.60/0.75 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.60/0.75 % Starting new_bool_3 with 300s (1) cores
% 1.60/0.75 % Starting new_bool_1 with 300s (1) cores
% 1.60/0.75 % Starting sh5l with 300s (1) cores
% 1.60/0.75 % new_bool_3 with pid 2831378 completed with status 0
% 1.60/0.75 % Result found by new_bool_3
% 1.60/0.75 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.60/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.60/0.75 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.60/0.75 % Starting new_bool_3 with 300s (1) cores
% 1.60/0.75 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.60/0.75 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.60/0.75 % Search class: FGUSS-FFSF22-MFFFFFNN
% 1.60/0.75 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.60/0.75 % Starting SubtermCWHack with 31s (1) cores
% 1.60/0.75 % SubtermCWHack with pid 2831381 completed with status 0
% 1.60/0.75 % Result found by SubtermCWHack
% 1.60/0.75 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.60/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.60/0.75 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.60/0.75 % Starting new_bool_3 with 300s (1) cores
% 1.60/0.75 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.60/0.75 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.60/0.75 % Search class: FGUSS-FFSF22-MFFFFFNN
% 1.60/0.75 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.60/0.75 % Starting SubtermCWHack with 31s (1) cores
% 1.60/0.75 % Preprocessing time : 0.002 s
% 1.60/0.75
% 1.60/0.75 % Proof found!
% 1.60/0.75 % SZS status Unsatisfiable
% 1.60/0.75 % SZS output start CNFRefutation
% See solution above
% 1.60/0.75 % Parsed axioms : 15
% 1.60/0.75 % Removed by relevancy pruning/SinE : 0
% 1.60/0.75 % Initial clauses : 15
% 1.60/0.75 % Removed in clause preprocessing : 0
% 1.60/0.75 % Initial clauses in saturation : 15
% 1.60/0.75 % Processed clauses : 1145
% 1.60/0.75 % ...of these trivial : 0
% 1.60/0.75 % ...subsumed : 1045
% 1.60/0.75 % ...remaining for further processing : 100
% 1.60/0.75 % Other redundant clauses eliminated : 0
% 1.60/0.75 % Clauses deleted for lack of memory : 0
% 1.60/0.75 % Backward-subsumed : 0
% 1.60/0.75 % Backward-rewritten : 1
% 1.60/0.75 % Generated clauses : 9921
% 1.60/0.75 % ...of the previous two non-redundant : 9878
% 1.60/0.75 % ...aggressively subsumed : 0
% 1.60/0.75 % Contextual simplify-reflections : 0
% 1.60/0.75 % Paramodulations : 9921
% 1.60/0.75 % Factorizations : 0
% 1.60/0.75 % NegExts : 0
% 1.60/0.75 % Equation resolutions : 0
% 1.60/0.75 % Disequality decompositions : 0
% 1.60/0.75 % Total rewrite steps : 130
% 1.60/0.75 % ...of those cached : 60
% 1.60/0.75 % Propositional unsat checks : 0
% 1.60/0.75 % Propositional check models : 0
% 1.60/0.75 % Propositional check unsatisfiable : 0
% 1.60/0.75 % Propositional clauses : 0
% 1.60/0.75 % Propositional clauses after purity: 0
% 1.60/0.75 % Propositional unsat core size : 0
% 1.60/0.75 % Propositional preprocessing time : 0.000
% 1.60/0.75 % Propositional encoding time : 0.000
% 1.60/0.75 % Propositional solver time : 0.000
% 1.60/0.75 % Success case prop preproc time : 0.000
% 1.60/0.75 % Success case prop encoding time : 0.000
% 1.60/0.75 % Success case prop solver time : 0.000
% 1.60/0.75 % Current number of processed clauses : 99
% 1.60/0.75 % Positive orientable unit clauses : 3
% 1.60/0.75 % Positive unorientable unit clauses: 13
% 1.60/0.75 % Negative unit clauses : 23
% 1.60/0.75 % Non-unit-clauses : 60
% 1.60/0.75 % Current number of unprocessed clauses: 8748
% 1.60/0.75 % ...number of literals in the above : 15655
% 1.60/0.75 % Current number of archived formulas : 0
% 1.60/0.75 % Current number of archived clauses : 1
% 1.60/0.75 % Clause-clause subsumption calls (NU) : 1359
% 1.60/0.75 % Rec. Clause-clause subsumption calls : 1359
% 1.60/0.75 % Non-unit clause-clause subsumptions : 220
% 1.60/0.75 % Unit Clause-clause subsumption calls : 50
% 1.60/0.75 % Rewrite failures with RHS unbound : 0
% 1.60/0.75 % BW rewrite match attempts : 1668
% 1.60/0.75 % BW rewrite match successes : 680
% 1.60/0.75 % Condensation attempts : 0
% 1.60/0.75 % Condensation successes : 0
% 1.60/0.75 % Termbank termtop insertions : 128811
% 1.60/0.75 % Search garbage collected termcells : 31
% 1.60/0.75
% 1.60/0.75 % -------------------------------------------------
% 1.60/0.75 % User time : 0.244 s
% 1.60/0.75 % System time : 0.014 s
% 1.60/0.75 % Total time : 0.258 s
% 1.60/0.75 % Maximum resident set size: 3648 pages
% 1.60/0.75
% 1.60/0.75 % -------------------------------------------------
% 1.60/0.75 % User time : 0.247 s
% 1.60/0.75 % System time : 0.020 s
% 1.60/0.75 % Total time : 0.267 s
% 1.60/0.75 % Maximum resident set size: 4608 pages
% 1.60/0.75 % E exiting
%------------------------------------------------------------------------------