TSTP Solution File: SWV401+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 21:28:54 EDT 2022

% Result   : Theorem 47.62s 6.44s
% Output   : Proof 47.62s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,sK2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l37_co)]) ).

cnf(g1,plain,
    less_than(sK3,sK2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l37_co)]) ).

cnf(g2,plain,
    ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,sK2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l37_co)]) ).

cnf(g3,plain,
    ( ~ pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,sK2)
    | sPE(sK5,sK2)
    | pair_in_list(sK0,sK1,sK2) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax23)]) ).

cnf(g4,plain,
    ( ~ pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,sK2)
    | sPE(sK4,sK1)
    | pair_in_list(sK0,sK1,sK2) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax23)]) ).

cnf(g5,plain,
    sPE(sK1,sK1),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    sPE(sK2,sK2),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    less_than(sK2,sK2),
    inference(ground_cnf,[],[file('Axioms/SWV007+0.ax',reflexivity)]) ).

cnf(g8,plain,
    sPE(insert_slb(sK0,pair(sK4,sK5)),insert_slb(sK0,pair(sK4,sK5))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    sPE(sK3,sK3),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0),sK2),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax24)]) ).

cnf(g11,plain,
    sPE(lookup_slb(insert_slb(sK0,pair(sK0,sK2)),sK0),sK2),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax26)]) ).

cnf(g12,plain,
    ( ~ less_than(sK3,sK2)
    | ~ pair_in_list(sK0,sK1,sK2)
    | pair_in_list(update_slb(sK0,sK3),sK1,sK2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l37_co)]) ).

cnf(g13,plain,
    sPE(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(sK5,sK2)
    | sPE(sK2,sK5) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ strictly_less_than(sK5,sK3)
    | sPE(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),insert_slb(update_slb(sK0,sK3),pair(sK4,sK3))) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax29)]) ).

cnf(g16,plain,
    ( ~ less_than(sK3,sK5)
    | sPE(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),insert_slb(update_slb(sK0,sK3),pair(sK4,sK5))) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax30)]) ).

cnf(g17,plain,
    ( ~ sPE(remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0),sK2)
    | sPE(sK2,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)))
    | sPE(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(lookup_slb(insert_slb(sK0,pair(sK0,sK2)),sK0),sK2)
    | sPE(sK2,lookup_slb(insert_slb(sK0,pair(sK0,sK2)),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)))
    | sPE(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3))
    | ~ sPE(sK1,sK1)
    | ~ sPE(remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0),sK2)
    | ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0))
    | pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,sK2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(sK4,sK1)
    | ~ sPE(sK5,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0))
    | pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0)) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax23)]) ).

cnf(g23,plain,
    ( ~ sPE(insert_slb(sK0,pair(sK4,sK5)),insert_slb(sK0,pair(sK4,sK5)))
    | ~ sPE(sK1,sK1)
    | ~ sPE(sK2,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0))
    | ~ pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,sK2)
    | pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0))
    | sPE(sK5,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0))
    | pair_in_list(sK0,sK1,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0)) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax23)]) ).

cnf(g25,plain,
    ( ~ sPE(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3))
    | ~ sPE(sK1,sK1)
    | ~ sPE(lookup_slb(insert_slb(sK0,pair(sK0,sK2)),sK0),sK2)
    | ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,lookup_slb(insert_slb(sK0,pair(sK0,sK2)),sK0))
    | pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,sK2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ sPE(sK3,sK3)
    | ~ sPE(sK2,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0))
    | ~ less_than(sK3,sK2)
    | less_than(sK3,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK2)
    | pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,sK2) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax23)]) ).

cnf(g28,plain,
    ( ~ sPE(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3))
    | ~ sPE(sK1,sK1)
    | ~ sPE(sK2,lookup_slb(insert_slb(sK0,pair(sK0,sK2)),sK0))
    | ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,sK2)
    | pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,lookup_slb(insert_slb(sK0,pair(sK0,sK2)),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g29,plain,
    ( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK2)
    | pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK1,sK2) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax23)]) ).

cnf(g30,plain,
    ( ~ sPE(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3))
    | ~ sPE(sK1,sK1)
    | ~ sPE(sK2,lookup_slb(insert_slb(sK0,pair(sK0,sK2)),sK0))
    | ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK1,sK2)
    | pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,lookup_slb(insert_slb(sK0,pair(sK0,sK2)),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g31,plain,
    ( ~ less_than(sK5,sK3)
    | less_than(sK3,sK5)
    | strictly_less_than(sK5,sK3) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+0.ax',stricly_smaller_definition)]) ).

cnf(g32,plain,
    ( less_than(sK5,sK3)
    | less_than(sK3,sK5) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+0.ax',totality)]) ).

cnf(g33,plain,
    ( ~ less_than(sK3,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0))
    | ~ pair_in_list(sK0,sK1,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0))
    | pair_in_list(update_slb(sK0,sK3),sK1,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l37_co)]) ).

cnf(g34,plain,
    ( ~ pair_in_list(update_slb(sK0,sK3),sK1,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0))
    | pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,remove_slb(insert_slb(sK2,pair(sK0,sK0)),sK0)) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax23)]) ).

cnf(g35,plain,
    ( ~ sPE(sK2,sK2)
    | ~ sPE(sK2,sK5)
    | ~ less_than(sK2,sK2)
    | less_than(sK2,sK5) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g36,plain,
    ( ~ less_than(sK3,sK2)
    | ~ less_than(sK2,sK5)
    | less_than(sK3,sK5) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+0.ax',transitivity)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun 14 18:10:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 47.62/6.44  % symbols: 20
% 47.62/6.44  % clauses: 42
% 47.62/6.44  % start clauses: 4
% 47.62/6.44  % iterative deepening steps: 1979
% 47.62/6.44  % maximum path limit: 4
% 47.62/6.44  % literal attempts: 2346583
% 47.62/6.44  % depth failures: 1925888
% 47.62/6.44  % regularity failures: 70614
% 47.62/6.44  % tautology failures: 41006
% 47.62/6.44  % reductions: 34620
% 47.62/6.44  % extensions: 2308517
% 47.62/6.44  % SAT variables: 314347
% 47.62/6.44  % SAT clauses: 358297
% 47.62/6.44  % WalkSAT solutions: 357293
% 47.62/6.44  % CDCL solutions: 994
% 47.62/6.44  % SZS status Theorem for theBenchmark
% 47.62/6.44  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------