TSTP Solution File: SWV407+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SWV407+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n004.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 21:28:55 EDT 2022

% Result   : Theorem 6.64s 1.21s
% Output   : Proof 6.64s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    contains_cpq(triple(sK3,sK4,sK5),sK6),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_co)]) ).

cnf(g1,plain,
    strictly_less_than(sK6,findmin_cpq_res(triple(sK3,sK4,sK5))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_co)]) ).

cnf(g2,plain,
    check_cpq(findmin_cpq_eff(triple(sK3,sK4,sK5))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_co)]) ).

cnf(g3,plain,
    ( ~ contains_cpq(triple(sK3,sK4,sK5),sK6)
    | contains_slb(sK4,sK6) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+3.ax',ax39)]) ).

cnf(g4,plain,
    ( ~ strictly_less_than(sK6,findmin_cpq_res(triple(sK3,sK4,sK5)))
    | ~ contains_slb(sK4,sK6)
    | pair_in_list(update_slb(sK4,findmin_pqp_res(sK3)),sK6,findmin_pqp_res(sK3))
    | pair_in_list(update_slb(sK4,findmin_pqp_res(sK3)),sK6,sK2(sK3,sK4,sK5,sK6)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_l44)]) ).

cnf(g5,plain,
    ( ~ strictly_less_than(sK6,findmin_cpq_res(triple(sK3,sK4,sK5)))
    | ~ contains_slb(sK4,sK6)
    | less_than(findmin_pqp_res(sK3),sK2(sK3,sK4,sK5,sK6))
    | pair_in_list(update_slb(sK4,findmin_pqp_res(sK3)),sK6,findmin_pqp_res(sK3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_l44)]) ).

cnf(g6,plain,
    sPE(sK6,sK6),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ sPE(sK6,sK6)
    | ~ sPE(findmin_cpq_res(triple(sK3,sK4,sK5)),findmin_pqp_res(sK3))
    | ~ strictly_less_than(sK6,findmin_cpq_res(triple(sK3,sK4,sK5)))
    | strictly_less_than(sK6,findmin_pqp_res(sK3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( sPE(sK4,create_slb)
    | sPE(findmin_cpq_res(triple(sK3,sK4,sK5)),findmin_pqp_res(sK3)) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+3.ax',ax51)]) ).

cnf(g9,plain,
    ( ~ pair_in_list(update_slb(sK4,findmin_pqp_res(sK3)),sK6,sK2(sK3,sK4,sK5,sK6))
    | ~ check_cpq(triple(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5))
    | less_than(sK2(sK3,sK4,sK5,sK6),sK6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_li4142)]) ).

cnf(g10,plain,
    ( ~ sPE(findmin_cpq_eff(triple(sK3,sK4,sK5)),triple(sK3,update_slb(sK4,findmin_pqp_res(sK3)),bad))
    | ~ check_cpq(findmin_cpq_eff(triple(sK3,sK4,sK5)))
    | check_cpq(triple(sK3,update_slb(sK4,findmin_pqp_res(sK3)),bad)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( sPE(sK4,create_slb)
    | sPE(findmin_cpq_eff(triple(sK3,sK4,sK5)),triple(sK3,update_slb(sK4,findmin_pqp_res(sK3)),bad))
    | contains_slb(sK4,findmin_pqp_res(sK3)) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+3.ax',ax47)]) ).

cnf(g12,plain,
    ( ~ sPE(findmin_cpq_eff(triple(sK3,sK4,sK5)),triple(sK3,update_slb(sK4,findmin_pqp_res(sK3)),sK5))
    | ~ check_cpq(findmin_cpq_eff(triple(sK3,sK4,sK5)))
    | check_cpq(triple(sK3,update_slb(sK4,findmin_pqp_res(sK3)),sK5)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ less_than(lookup_slb(sK4,findmin_pqp_res(sK3)),findmin_pqp_res(sK3))
    | ~ contains_slb(sK4,findmin_pqp_res(sK3))
    | sPE(sK4,create_slb)
    | sPE(findmin_cpq_eff(triple(sK3,sK4,sK5)),triple(sK3,update_slb(sK4,findmin_pqp_res(sK3)),sK5)) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+3.ax',ax49)]) ).

cnf(g14,plain,
    ( ~ strictly_less_than(findmin_pqp_res(sK3),lookup_slb(sK4,findmin_pqp_res(sK3)))
    | ~ contains_slb(sK4,findmin_pqp_res(sK3))
    | sPE(sK4,create_slb)
    | sPE(findmin_cpq_eff(triple(sK3,sK4,sK5)),triple(sK3,update_slb(sK4,findmin_pqp_res(sK3)),bad)) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+3.ax',ax48)]) ).

cnf(g15,plain,
    ( ~ less_than(findmin_pqp_res(sK3),lookup_slb(sK4,findmin_pqp_res(sK3)))
    | less_than(lookup_slb(sK4,findmin_pqp_res(sK3)),findmin_pqp_res(sK3))
    | strictly_less_than(findmin_pqp_res(sK3),lookup_slb(sK4,findmin_pqp_res(sK3))) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+0.ax',stricly_smaller_definition)]) ).

cnf(g16,plain,
    ( ~ pair_in_list(update_slb(sK4,findmin_pqp_res(sK3)),sK0(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5),sK1(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5))
    | ~ check_cpq(triple(sK3,update_slb(sK4,findmin_pqp_res(sK3)),bad))
    | less_than(sK1(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5),sK0(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_li4142)]) ).

cnf(g17,plain,
    ( pair_in_list(update_slb(sK4,findmin_pqp_res(sK3)),sK0(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5),sK1(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5))
    | check_cpq(triple(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_li4142)]) ).

cnf(g18,plain,
    ( ~ pair_in_list(update_slb(sK4,findmin_pqp_res(sK3)),sK0(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5),sK1(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5))
    | ~ check_cpq(triple(sK3,update_slb(sK4,findmin_pqp_res(sK3)),sK5))
    | less_than(sK1(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5),sK0(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_li4142)]) ).

cnf(g19,plain,
    ( less_than(findmin_pqp_res(sK3),lookup_slb(sK4,findmin_pqp_res(sK3)))
    | less_than(lookup_slb(sK4,findmin_pqp_res(sK3)),findmin_pqp_res(sK3)) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+0.ax',totality)]) ).

cnf(g20,plain,
    ( ~ pair_in_list(update_slb(sK4,findmin_pqp_res(sK3)),sK6,findmin_pqp_res(sK3))
    | ~ check_cpq(triple(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5))
    | less_than(findmin_pqp_res(sK3),sK6) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_li4142)]) ).

cnf(g21,plain,
    ( ~ less_than(findmin_pqp_res(sK3),sK6)
    | ~ strictly_less_than(sK6,findmin_pqp_res(sK3)) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+0.ax',stricly_smaller_definition)]) ).

cnf(g22,plain,
    ( ~ less_than(sK1(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5),sK0(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5))
    | check_cpq(triple(sK5,update_slb(sK4,findmin_pqp_res(sK3)),sK5)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l43_li4142)]) ).

cnf(g23,plain,
    ( ~ sPE(sK4,create_slb)
    | ~ sPE(sK6,sK6)
    | ~ contains_slb(sK4,sK6)
    | contains_slb(create_slb,sK6) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ~ contains_slb(create_slb,sK6),
    inference(ground_cnf,[],[file('Axioms/SWV007+2.ax',ax20)]) ).

cnf(g25,plain,
    ( ~ less_than(findmin_pqp_res(sK3),sK2(sK3,sK4,sK5,sK6))
    | ~ less_than(sK2(sK3,sK4,sK5,sK6),sK6)
    | less_than(findmin_pqp_res(sK3),sK6) ),
    inference(ground_cnf,[],[file('Axioms/SWV007+0.ax',transitivity)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV407+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun 15 06:22:39 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 6.64/1.21  % symbols: 36
% 6.64/1.21  % clauses: 88
% 6.64/1.21  % start clauses: 3
% 6.64/1.21  % iterative deepening steps: 1032
% 6.64/1.21  % maximum path limit: 4
% 6.64/1.21  % literal attempts: 2008533
% 6.64/1.21  % depth failures: 1836232
% 6.64/1.21  % regularity failures: 16529
% 6.64/1.21  % tautology failures: 11862
% 6.64/1.21  % reductions: 48183
% 6.64/1.21  % extensions: 1958987
% 6.64/1.21  % SAT variables: 99013
% 6.64/1.21  % SAT clauses: 96847
% 6.64/1.21  % WalkSAT solutions: 96842
% 6.64/1.21  % CDCL solutions: 3
% 6.64/1.21  % SZS status Theorem for theBenchmark
% 6.64/1.21  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------