%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW409-1 : 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 : n005.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 03:10:28 PM UTC 2026
% Result : Unsatisfiable 0.66s 0.69s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 16 unt; 5 nHn; 20 RR)
% Number of literals : 39 ( 13 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 47 ( 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(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(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(premise_3,hypothesis,
x1 != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
cnf(premise_5,hypothesis,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x2,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,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_11,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_12,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_13,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
inference(spm,[status(thm)],[c_0_10,c_0_10]) ).
cnf(c_0_14,hypothesis,
x1 != x3,
inference(fof_simplification,[status(thm)],[premise_3]) ).
cnf(c_0_15,plain,
( ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3)))
| heap(sep(lseg(X1,nil),X3)) ),
c_0_11 ).
cnf(c_0_16,plain,
( ~ heap(sep(X3,sep(X4,sep(next(X1,X2),X5))))
| heap(sep(lseg(X1,X2),sep(X3,sep(X4,X5))))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
premise_5 ).
cnf(c_0_18,hypothesis,
x1 != x3,
c_0_14 ).
cnf(c_0_19,plain,
( ~ heap(sep(X2,sep(lseg(X1,X4),sep(lseg(X4,nil),X3))))
| heap(sep(lseg(X1,nil),sep(X2,X3))) ),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_20,hypothesis,
heap(sep(lseg(x2,x1),sep(lseg(x1,x3),sep(lseg(x3,nil),emp)))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_10]) ).
cnf(c_0_21,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
inference(fof_simplification,[status(thm)],[conclusion_1]) ).
cnf(c_0_22,hypothesis,
heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_10]) ).
cnf(c_0_23,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
c_0_21 ).
cnf(c_0_24,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW409-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 % Computer : n005.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Mon Sep 21 09:51:18 UTC 2026
% 0.18/0.47 % CPUTime :
% 0.18/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 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
% 0.66/0.69 % Version: 3.5.1
% 0.66/0.69 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.66/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.66/0.69 % Starting new_bool_3 with 300s (1) cores
% 0.66/0.69 % Starting new_bool_1 with 300s (1) cores
% 0.66/0.69 % Starting sh5l with 300s (1) cores
% 0.66/0.69 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3159469 completed with status 0
% 0.66/0.69 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.66/0.69 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.66/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.66/0.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.66/0.69 % No SInE strategy applied
% 0.66/0.69 % Search class: FGUSS-FFSF22-MFFFFFNN
% 0.66/0.69 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.66/0.69 % Starting SubtermCWHack with 136s (1) cores
% 0.66/0.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.66/0.69 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 226s (1) cores
% 0.66/0.69 % Starting new_bool_3 with 226s (1) cores
% 0.66/0.69 % Starting new_bool_1 with 226s (1) cores
% 0.66/0.69 % SubtermCWHack with pid 3159474 completed with status 0
% 0.66/0.69 % Result found by SubtermCWHack
% 0.66/0.69 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.66/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.69 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.66/0.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.66/0.69 % No SInE strategy applied
% 0.66/0.69 % Search class: FGUSS-FFSF22-MFFFFFNN
% 0.66/0.69 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.66/0.69 % Starting SubtermCWHack with 136s (1) cores
% 0.66/0.69 % Preprocessing time : 0.001 s
% 0.66/0.69
% 0.66/0.69 % Proof found!
% 0.66/0.69 % SZS status Unsatisfiable
% 0.66/0.69 % SZS output start CNFRefutation
% See solution above
% 0.66/0.69 % Parsed axioms : 17
% 0.66/0.69 % Removed by relevancy pruning/SinE : 0
% 0.66/0.69 % Initial clauses : 17
% 0.66/0.69 % Removed in clause preprocessing : 0
% 0.66/0.69 % Initial clauses in saturation : 17
% 0.66/0.69 % Processed clauses : 1168
% 0.66/0.69 % ...of these trivial : 1
% 0.66/0.69 % ...subsumed : 1066
% 0.66/0.69 % ...remaining for further processing : 101
% 0.66/0.69 % Other redundant clauses eliminated : 0
% 0.66/0.69 % Clauses deleted for lack of memory : 0
% 0.66/0.69 % Backward-subsumed : 0
% 0.66/0.69 % Backward-rewritten : 0
% 0.66/0.69 % Generated clauses : 9872
% 0.66/0.69 % ...of the previous two non-redundant : 9827
% 0.66/0.69 % ...aggressively subsumed : 0
% 0.66/0.69 % Contextual simplify-reflections : 0
% 0.66/0.69 % Paramodulations : 9872
% 0.66/0.69 % Factorizations : 0
% 0.66/0.69 % NegExts : 0
% 0.66/0.69 % Equation resolutions : 0
% 0.66/0.69 % Disequality decompositions : 0
% 0.66/0.69 % Total rewrite steps : 134
% 0.66/0.69 % ...of those cached : 61
% 0.66/0.69 % Propositional unsat checks : 0
% 0.66/0.69 % Propositional check models : 0
% 0.66/0.69 % Propositional check unsatisfiable : 0
% 0.66/0.69 % Propositional clauses : 0
% 0.66/0.69 % Propositional clauses after purity: 0
% 0.66/0.69 % Propositional unsat core size : 0
% 0.66/0.69 % Propositional preprocessing time : 0.000
% 0.66/0.69 % Propositional encoding time : 0.000
% 0.66/0.69 % Propositional solver time : 0.000
% 0.66/0.69 % Success case prop preproc time : 0.000
% 0.66/0.69 % Success case prop encoding time : 0.000
% 0.66/0.69 % Success case prop solver time : 0.000
% 0.66/0.69 % Current number of processed clauses : 101
% 0.66/0.69 % Positive orientable unit clauses : 4
% 0.66/0.69 % Positive unorientable unit clauses: 13
% 0.66/0.69 % Negative unit clauses : 25
% 0.66/0.69 % Non-unit-clauses : 59
% 0.66/0.69 % Current number of unprocessed clauses: 8676
% 0.66/0.69 % ...number of literals in the above : 15446
% 0.66/0.69 % Current number of archived formulas : 0
% 0.66/0.69 % Current number of archived clauses : 0
% 0.66/0.69 % Clause-clause subsumption calls (NU) : 1563
% 0.66/0.69 % Rec. Clause-clause subsumption calls : 1563
% 0.66/0.69 % Non-unit clause-clause subsumptions : 255
% 0.66/0.69 % Unit Clause-clause subsumption calls : 52
% 0.66/0.69 % Rewrite failures with RHS unbound : 0
% 0.66/0.69 % BW rewrite match attempts : 1760
% 0.66/0.69 % BW rewrite match successes : 704
% 0.66/0.69 % Condensation attempts : 0
% 0.66/0.69 % Condensation successes : 0
% 0.66/0.69 % Termbank termtop insertions : 128094
% 0.66/0.69 % Search garbage collected termcells : 35
% 0.66/0.69
% 0.66/0.69 % -------------------------------------------------
% 0.66/0.69 % User time : 0.124 s
% 0.66/0.69 % System time : 0.008 s
% 0.66/0.69 % Total time : 0.132 s
% 0.66/0.69 % Maximum resident set size: 3648 pages
% 0.66/0.69
% 0.66/0.69 % -------------------------------------------------
% 0.66/0.69 % User time : 0.337 s
% 0.66/0.69 % System time : 0.036 s
% 0.66/0.69 % Total time : 0.372 s
% 0.66/0.69 % Maximum resident set size: 4864 pages
% 0.66/0.69 % E exiting
%------------------------------------------------------------------------------