%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW443-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 03:10:42 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.57s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of clauses : 33 ( 25 unt; 8 nHn; 28 RR)
% Number of literals : 45 ( 32 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-2 aty)
% Number of variables : 31 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wellformedness_5,axiom,
( ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))
| X1 = X3
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).
cnf(premise_23,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_23) ).
cnf(associative_commutative,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
cnf(premise_19,hypothesis,
x1 != x14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_19) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_8,hypothesis,
x2 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
cnf(premise_22,hypothesis,
x5 != x15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_22) ).
cnf(c_0_7,plain,
( ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))
| X1 = X3
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[wellformedness_5]) ).
cnf(c_0_8,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
premise_23 ).
cnf(c_0_9,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_10,hypothesis,
x1 != x14,
inference(fof_simplification,[status(thm)],[premise_19]) ).
cnf(c_0_11,plain,
( ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))
| X1 = X3
| X1 = X2 ),
c_0_7 ).
cnf(c_0_12,hypothesis,
heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_13,hypothesis,
x1 != x14,
c_0_10 ).
cnf(c_0_14,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_15,hypothesis,
x3 = x1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_17,plain,
( ~ heap(sep(X4,sep(lseg(X1,X3),sep(lseg(X1,X2),X5))))
| X1 = X3
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_18,hypothesis,
heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_16]) ).
cnf(c_0_19,hypothesis,
( x18 = x2
| x5 = x2 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,hypothesis,
( heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))
| x5 = x2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_15]),c_0_16]),c_0_16]),c_0_9]),c_0_9]) ).
cnf(c_0_21,hypothesis,
( x15 = x2
| x5 = x2 ),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_22,hypothesis,
x2 != x8,
inference(fof_simplification,[status(thm)],[premise_8]) ).
cnf(c_0_23,hypothesis,
( heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))
| x5 = x2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_16]) ).
cnf(c_0_24,hypothesis,
x2 != x8,
c_0_22 ).
cnf(c_0_25,hypothesis,
x5 = x2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_23]),c_0_24]) ).
cnf(c_0_26,hypothesis,
heap(sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_25]),c_0_15]),c_0_16]),c_0_16]) ).
cnf(c_0_27,hypothesis,
x5 != x15,
inference(fof_simplification,[status(thm)],[premise_22]) ).
cnf(c_0_28,hypothesis,
x18 = x2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_26]),c_0_24]) ).
cnf(c_0_29,hypothesis,
x5 != x15,
c_0_27 ).
cnf(c_0_30,hypothesis,
heap(sep(lseg(x1,x14),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_28]),c_0_15]),c_0_25]),c_0_16]),c_0_9]),c_0_25]),c_0_25]),c_0_16]),c_0_16]),c_0_9]) ).
cnf(c_0_31,hypothesis,
x15 != x2,
inference(rw,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_32,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_30]),c_0_24]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW443-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n009.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 09:53:42 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.51 Running first-order theorem proving
% 0.25/0.51 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
% 0.25/0.57 % Version: 3.5.1
% 0.25/0.57 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.57 % Starting sh5l with 300s (1) cores
% 0.25/0.57 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1459324 completed with status 0
% 0.25/0.57 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.25/0.57 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.57 % No SInE strategy applied
% 0.25/0.57 % Search class: FGUSS-FFMF22-DFFFFFNN
% 0.25/0.57 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.57 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.25/0.57 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 303s (1) cores
% 0.25/0.57 % Starting new_bool_3 with 298s (1) cores
% 0.25/0.57 % Starting new_bool_1 with 291s (1) cores
% 0.25/0.57 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 1459332 completed with status 0
% 0.25/0.57 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.25/0.57 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.57 % No SInE strategy applied
% 0.25/0.57 % Search class: FGUSS-FFMF22-DFFFFFNN
% 0.25/0.57 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.57 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.25/0.57 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 303s (1) cores
% 0.25/0.57 % Preprocessing time : 0.002 s
% 0.25/0.57
% 0.25/0.57 % Proof found!
% 0.25/0.57 % SZS status Unsatisfiable
% 0.25/0.57 % SZS output start CNFRefutation
% See solution above
% 0.25/0.57 % Parsed axioms : 35
% 0.25/0.57 % Removed by relevancy pruning/SinE : 0
% 0.25/0.57 % Initial clauses : 35
% 0.25/0.57 % Removed in clause preprocessing : 1
% 0.25/0.57 % Initial clauses in saturation : 34
% 0.25/0.57 % Processed clauses : 147
% 0.25/0.57 % ...of these trivial : 0
% 0.25/0.57 % ...subsumed : 75
% 0.25/0.57 % ...remaining for further processing : 72
% 0.25/0.57 % Other redundant clauses eliminated : 6
% 0.25/0.57 % Clauses deleted for lack of memory : 0
% 0.25/0.57 % Backward-subsumed : 1
% 0.25/0.57 % Backward-rewritten : 13
% 0.25/0.57 % Generated clauses : 428
% 0.25/0.57 % ...of the previous two non-redundant : 401
% 0.25/0.57 % ...aggressively subsumed : 0
% 0.25/0.57 % Contextual simplify-reflections : 0
% 0.25/0.57 % Paramodulations : 398
% 0.25/0.57 % Factorizations : 24
% 0.25/0.57 % NegExts : 0
% 0.25/0.57 % Equation resolutions : 6
% 0.25/0.57 % Disequality decompositions : 0
% 0.25/0.57 % Total rewrite steps : 111
% 0.25/0.57 % ...of those cached : 40
% 0.25/0.57 % Propositional unsat checks : 0
% 0.25/0.57 % Propositional check models : 0
% 0.25/0.57 % Propositional check unsatisfiable : 0
% 0.25/0.57 % Propositional clauses : 0
% 0.25/0.57 % Propositional clauses after purity: 0
% 0.25/0.57 % Propositional unsat core size : 0
% 0.25/0.57 % Propositional preprocessing time : 0.000
% 0.25/0.57 % Propositional encoding time : 0.000
% 0.25/0.57 % Propositional solver time : 0.000
% 0.25/0.57 % Success case prop preproc time : 0.000
% 0.25/0.57 % Success case prop encoding time : 0.000
% 0.25/0.57 % Success case prop solver time : 0.000
% 0.25/0.57 % Current number of processed clauses : 58
% 0.25/0.57 % Positive orientable unit clauses : 8
% 0.25/0.57 % Positive unorientable unit clauses: 2
% 0.25/0.57 % Negative unit clauses : 30
% 0.25/0.57 % Non-unit-clauses : 18
% 0.25/0.57 % Current number of unprocessed clauses: 288
% 0.25/0.57 % ...number of literals in the above : 560
% 0.25/0.57 % Current number of archived formulas : 0
% 0.25/0.57 % Current number of archived clauses : 14
% 0.25/0.57 % Clause-clause subsumption calls (NU) : 221
% 0.25/0.57 % Rec. Clause-clause subsumption calls : 221
% 0.25/0.57 % Non-unit clause-clause subsumptions : 25
% 0.25/0.57 % Unit Clause-clause subsumption calls : 322
% 0.25/0.57 % Rewrite failures with RHS unbound : 0
% 0.25/0.57 % BW rewrite match attempts : 47
% 0.25/0.57 % BW rewrite match successes : 9
% 0.25/0.57 % Condensation attempts : 0
% 0.25/0.57 % Condensation successes : 0
% 0.25/0.57 % Termbank termtop insertions : 5922
% 0.25/0.57 % Search garbage collected termcells : 72
% 0.25/0.57
% 0.25/0.57 % -------------------------------------------------
% 0.25/0.57 % User time : 0.023 s
% 0.25/0.57 % System time : 0.006 s
% 0.25/0.57 % Total time : 0.029 s
% 0.25/0.57 % Maximum resident set size: 3672 pages
% 0.25/0.57
% 0.25/0.57 % -------------------------------------------------
% 0.25/0.57 % User time : 0.104 s
% 0.25/0.57 % System time : 0.031 s
% 0.25/0.57 % Total time : 0.134 s
% 0.25/0.57 % Maximum resident set size: 4608 pages
% 0.25/0.57 % E exiting
%------------------------------------------------------------------------------