↑ Up

E---3.5.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW445-1 : 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 : 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 03:10:43 PM UTC 2026

% Result   : Unsatisfiable 220.44s 32.41s
% Output   : CNFRefutation 220.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   33 (  16 unt;  17 nHn;  27 RR)
%            Number of literals    :   58 (  40 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  17 con; 0-2 aty)
%            Number of variables   :   62 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(wellformedness_5,axiom,
    ( ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))
    | X1 = X3
    | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).

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_19,hypothesis,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_19) ).

cnf(normalization,axiom,
    sep(lseg(X1,X1),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(premise_3,hypothesis,
    x3 != x20,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).

cnf(c_0_5,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_6,plain,
    ( ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))
    | X1 = X3
    | X1 = X2 ),
    c_0_5 ).

cnf(c_0_7,axiom,
    sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
    associative_commutative ).

cnf(c_0_8,plain,
    ( ~ heap(sep(lseg(X1,X2),sep(X4,sep(lseg(X1,X3),X5))))
    | X1 = X3
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,hypothesis,
    heap(sep(lseg(x5,x17),sep(lseg(x19,x1),sep(lseg(x4,x12),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x12,x11),sep(lseg(x2,x18),sep(lseg(x17,x14),sep(lseg(x7,x16),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x6,x17),sep(lseg(x6,x19),emp))))))))))))))),
    premise_19 ).

cnf(c_0_10,plain,
    ( ~ heap(sep(X4,sep(lseg(X1,X3),sep(lseg(X1,X2),X5))))
    | X1 = X3
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_11,hypothesis,
    heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x11),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),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)],[c_0_9,c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_12,plain,
    sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
    inference(spm,[status(thm)],[c_0_7,c_0_7]) ).

cnf(c_0_13,hypothesis,
    ( x11 = x12
    | x12 = x20 ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,axiom,
    sep(lseg(X1,X1),X2) = X2,
    normalization ).

cnf(c_0_15,plain,
    ( ~ heap(sep(X4,sep(X5,sep(lseg(X1,X2),sep(lseg(X1,X3),X6)))))
    | X1 = X3
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_10,c_0_12]) ).

cnf(c_0_16,hypothesis,
    ( heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp)))))))))))))
    | x12 = x20 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_13]),c_0_14]),c_0_14]) ).

cnf(c_0_17,plain,
    ( ~ heap(sep(X4,sep(X5,sep(lseg(X1,X3),sep(X6,sep(lseg(X1,X2),X7))))))
    | X1 = X3
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_15,c_0_7]) ).

cnf(c_0_18,plain,
    sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X3,sep(X2,sep(X4,sep(X1,X5)))),
    inference(spm,[status(thm)],[c_0_12,c_0_12]) ).

cnf(c_0_19,hypothesis,
    ( x15 = x12
    | x12 = x20 ),
    inference(spm,[status(thm)],[c_0_10,c_0_16]) ).

cnf(c_0_20,hypothesis,
    x3 != x20,
    inference(fof_simplification,[status(thm)],[premise_3]) ).

cnf(c_0_21,plain,
    ( ~ heap(sep(X4,sep(X5,sep(X6,sep(X7,sep(lseg(X1,X2),sep(lseg(X1,X3),X8)))))))
    | X1 = X3
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,hypothesis,
    ( heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))
    | x12 = x20 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_19]),c_0_14]) ).

cnf(c_0_23,hypothesis,
    x3 != x20,
    c_0_20 ).

cnf(c_0_24,hypothesis,
    ( x3 = x12
    | x12 = x20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_25,hypothesis,
    ( x11 = x12
    | x15 = x12 ),
    inference(spm,[status(thm)],[c_0_15,c_0_11]) ).

cnf(c_0_26,hypothesis,
    ( heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x20),sep(lseg(x12,x11),sep(lseg(x12,x15),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x11,x12),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))))
    | x12 = x20 ),
    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_11,c_0_24]),c_0_14]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).

cnf(c_0_27,hypothesis,
    ( heap(sep(lseg(x19,x1),sep(lseg(x12,x20),sep(lseg(x12,x11),sep(lseg(x17,x14),sep(lseg(x4,x12),sep(lseg(x3,x20),sep(lseg(x3,x12),sep(lseg(x11,x12),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp))))))))))))))
    | x11 = x12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_25]),c_0_14]) ).

cnf(c_0_28,hypothesis,
    x12 = x20,
    inference(spm,[status(thm)],[c_0_10,c_0_26]) ).

cnf(c_0_29,hypothesis,
    ( heap(sep(lseg(x19,x1),sep(lseg(x20,x11),sep(lseg(x17,x14),sep(lseg(x4,x20),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x11,x20),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),emp)))))))))))))
    | x11 = x20 ),
    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_27,c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_14]) ).

cnf(c_0_30,hypothesis,
    x11 = x20,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_29]),c_0_23]) ).

cnf(c_0_31,hypothesis,
    heap(sep(lseg(x19,x1),sep(lseg(x20,x15),sep(lseg(x17,x14),sep(lseg(x4,x20),sep(lseg(x3,x20),sep(lseg(x3,x20),sep(lseg(x7,x16),sep(lseg(x6,x19),sep(lseg(x6,x17),sep(lseg(x2,x18),sep(lseg(x5,x17),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_11,c_0_30]),c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_14]),c_0_14]),c_0_14]) ).

cnf(c_0_32,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_31]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWW445-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45  % Computer : n014.cluster.edu
% 0.17/0.45  % Model    : x86_64 x86_64
% 0.17/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45  % Memory   : 8046.5625MB
% 0.17/0.45  % OS       : Linux 6.8.0-71-generic
% 0.17/0.45  % CPULimit : 300
% 0.17/0.45  % WCLimit  : 300
% 0.17/0.45  % DateTime : Mon Sep 21 09:53:34 UTC 2026
% 0.17/0.45  % CPUTime  : 
% 0.17/0.45  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.51  Running first-order theorem proving
% 0.17/0.51  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
% 220.44/32.41  % Version: 3.5.1
% 220.44/32.41  % Preprocessing class: FSMSSMSMSSSNFFN.
% 220.44/32.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 220.44/32.41  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 220.44/32.41  % Starting new_bool_3 with 300s (1) cores
% 220.44/32.41  % Starting new_bool_1 with 300s (1) cores
% 220.44/32.41  % Starting sh5l with 300s (1) cores
% 220.44/32.41  % new_bool_1 with pid 3780431 completed with status 0
% 220.44/32.41  % Result found by new_bool_1
% 220.44/32.41  % Preprocessing class: FSMSSMSMSSSNFFN.
% 220.44/32.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 220.44/32.41  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 220.44/32.41  % Starting new_bool_3 with 300s (1) cores
% 220.44/32.41  % Starting new_bool_1 with 300s (1) cores
% 220.44/32.41  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 220.44/32.41  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 220.44/32.41  % Search class: FGUSS-FFSF22-DFFFFFNN
% 220.44/32.41  % partial match(1): FGUSS-FFMF22-DFFFFFNN
% 220.44/32.41  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 220.44/32.41  % Starting SubtermCWHack with 31s (1) cores
% 220.44/32.41  % SubtermCWHack with pid 3780436 completed with status 8
% 220.44/32.41  % Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 80s (1) cores
% 220.44/32.41  % Y1006__C12_02_nc_F1_AE_CS_SP_S2S with pid 3780596 completed with status 0
% 220.44/32.41  % Result found by Y1006__C12_02_nc_F1_AE_CS_SP_S2S
% 220.44/32.41  % Preprocessing class: FSMSSMSMSSSNFFN.
% 220.44/32.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 220.44/32.41  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 220.44/32.41  % Starting new_bool_3 with 300s (1) cores
% 220.44/32.41  % Starting new_bool_1 with 300s (1) cores
% 220.44/32.41  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 220.44/32.41  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 220.44/32.41  % Search class: FGUSS-FFSF22-DFFFFFNN
% 220.44/32.41  % partial match(1): FGUSS-FFMF22-DFFFFFNN
% 220.44/32.41  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 220.44/32.41  % Starting SubtermCWHack with 31s (1) cores
% 220.44/32.41  % SubtermCWHack with pid 3780436 completed with status 8
% 220.44/32.41  % Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 80s (1) cores
% 220.44/32.41  % Preprocessing time       : 0.001 s
% 220.44/32.41  % Presaturation interreduction done
% 220.44/32.41  
% 220.44/32.41  % Proof found!
% 220.44/32.41  % SZS status Unsatisfiable
% 220.44/32.41  % SZS output start CNFRefutation
% See solution above
% 220.44/32.41  % Parsed axioms                        : 31
% 220.44/32.41  % Removed by relevancy pruning/SinE    : 7
% 220.44/32.41  % Initial clauses                      : 24
% 220.44/32.41  % Removed in clause preprocessing      : 1
% 220.44/32.41  % Initial clauses in saturation        : 23
% 220.44/32.41  % Processed clauses                    : 1449
% 220.44/32.41  % ...of these trivial                  : 0
% 220.44/32.41  % ...subsumed                          : 1326
% 220.44/32.41  % ...remaining for further processing  : 123
% 220.44/32.41  % Other redundant clauses eliminated   : 0
% 220.44/32.41  % Clauses deleted for lack of memory   : 0
% 220.44/32.41  % Backward-subsumed                    : 0
% 220.44/32.41  % Backward-rewritten                   : 16
% 220.44/32.41  % Generated clauses                    : 13990
% 220.44/32.41  % ...of the previous two non-redundant : 13956
% 220.44/32.41  % ...aggressively subsumed             : 0
% 220.44/32.41  % Contextual simplify-reflections      : 0
% 220.44/32.41  % Paramodulations                      : 13990
% 220.44/32.41  % Factorizations                       : 0
% 220.44/32.41  % NegExts                              : 0
% 220.44/32.41  % Equation resolutions                 : 0
% 220.44/32.41  % Disequality decompositions           : 0
% 220.44/32.41  % Total rewrite steps                  : 351
% 220.44/32.41  % ...of those cached                   : 198
% 220.44/32.41  % Propositional unsat checks           : 0
% 220.44/32.41  %    Propositional check models        : 0
% 220.44/32.41  %    Propositional check unsatisfiable : 0
% 220.44/32.41  %    Propositional clauses             : 0
% 220.44/32.41  %    Propositional clauses after purity: 0
% 220.44/32.41  %    Propositional unsat core size     : 0
% 220.44/32.41  %    Propositional preprocessing time  : 0.000
% 220.44/32.41  %    Propositional encoding time       : 0.000
% 220.44/32.41  %    Propositional solver time         : 0.000
% 220.44/32.41  %    Success case prop preproc time    : 0.000
% 220.44/32.41  %    Success case prop encoding time   : 0.000
% 220.44/32.41  %    Success case prop solver time     : 0.000
% 220.44/32.41  % Current number of processed clauses  : 84
% 220.44/32.41  %    Positive orientable unit clauses  : 6
% 220.44/32.41  %    Positive unorientable unit clauses: 21
% 220.44/32.41  %    Negative unit clauses             : 17
% 220.44/32.41  %    Non-unit-clauses                  : 40
% 220.44/32.41  % Current number of unprocessed clauses: 12533
% 220.44/32.41  % ...number of literals in the above   : 24967
% 220.44/32.41  % Current number of archived formulas  : 0
% 220.44/32.41  % Current number of archived clauses   : 39
% 220.44/32.41  % Clause-clause subsumption calls (NU) : 6339
% 220.44/32.41  % Rec. Clause-clause subsumption calls : 6334
% 220.44/32.41  % Non-unit clause-clause subsumptions  : 910
% 220.44/32.41  % Unit Clause-clause subsumption calls : 332
% 220.44/32.41  % Rewrite failures with RHS unbound    : 0
% 220.44/32.41  % BW rewrite match attempts            : 1928
% 220.44/32.41  % BW rewrite match successes           : 802
% 220.44/32.41  % Condensation attempts                : 0
% 220.44/32.41  % Condensation successes               : 0
% 220.44/32.41  % Termbank termtop insertions          : 199691
% 220.44/32.41  % Search garbage collected termcells   : 94
% 220.44/32.41  
% 220.44/32.41  % -------------------------------------------------
% 220.44/32.41  % User time                : 30.049 s
% 220.44/32.41  % System time              : 1.304 s
% 220.44/32.41  % Total time               : 31.353 s
% 220.44/32.41  % Maximum resident set size: 3620 pages
% 220.44/32.41  
% 220.44/32.41  % -------------------------------------------------
% 220.44/32.41  % User time                : 30.050 s
% 220.44/32.41  % System time              : 1.315 s
% 220.44/32.41  % Total time               : 31.365 s
% 220.44/32.41  % Maximum resident set size: 4608 pages
% 220.44/32.41  % E exiting
%------------------------------------------------------------------------------