TSTP Solution File: ANA133-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : ANA133-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n017.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 : Thu Jul 14 19:26:26 EDT 2022

% Result   : Unsatisfiable 8.42s 1.42s
% Output   : Proof 8.42s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    sPE('+'(zero,times(x,cos(x))),times(x,cos(x))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_zero)]) ).

cnf(g1,plain,
    sPE(cos(x),cos(x)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    sPE(d(x),one),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',derivative_of_x)]) ).

cnf(g3,plain,
    sPE(x,x),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    sPE(times(one,cos(x)),cos(x)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',times_one)]) ).

cnf(g5,plain,
    sPE(d(sin(x)),times(cos(x),d(x))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',derivative_of_sin)]) ).

cnf(g6,plain,
    sPE(d(cos(x)),minus(times(sin(x),d(x)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',derivative_of_cos)]) ).

cnf(g7,plain,
    sPE(times(cos(x),d(x)),times(d(x),cos(x))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_times)]) ).

cnf(g8,plain,
    ( ~ sPE(d(sin(x)),times(cos(x),d(x)))
    | ~ sPE(times(cos(x),d(x)),times(d(x),cos(x)))
    | sPE(d(sin(x)),times(d(x),cos(x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    sPE(minus(times(sin(x),d(x))),minus(times(sin(x),d(x)))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE('+'(times(sin(x),d(x)),minus(times(sin(x),d(x)))),zero),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minus)]) ).

cnf(g11,plain,
    ( ~ sPE(d(x),one)
    | ~ sPE(cos(x),cos(x))
    | sPE(times(d(x),cos(x)),times(one,cos(x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(d(sin(x)),times(d(x),cos(x)))
    | ~ sPE(times(d(x),cos(x)),cos(x))
    | sPE(d(sin(x)),cos(x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(times(d(x),cos(x)),times(one,cos(x)))
    | ~ sPE(times(one,cos(x)),cos(x))
    | sPE(times(d(x),cos(x)),cos(x)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ~ sPE(d('+'(cos(x),times(sin(x),x))),times(x,cos(x))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal)]) ).

cnf(g15,plain,
    ( ~ sPE(d('+'(cos(x),times(sin(x),x))),'+'(d(cos(x)),d(times(sin(x),x))))
    | ~ sPE('+'(d(cos(x)),d(times(sin(x),x))),times(x,cos(x)))
    | sPE(d('+'(cos(x),times(sin(x),x))),times(x,cos(x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    sPE(d('+'(cos(x),times(sin(x),x))),'+'(d(cos(x)),d(times(sin(x),x)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',derivative_of_plus)]) ).

cnf(g17,plain,
    ( ~ sPE('+'(d(cos(x)),d(times(sin(x),x))),'+'(zero,times(x,cos(x))))
    | ~ sPE('+'(zero,times(x,cos(x))),times(x,cos(x)))
    | sPE('+'(d(cos(x)),d(times(sin(x),x))),times(x,cos(x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE('+'(d(cos(x)),d(times(sin(x),x))),'+'(minus(times(sin(x),d(x))),d(times(sin(x),x))))
    | ~ sPE('+'(minus(times(sin(x),d(x))),d(times(sin(x),x))),'+'(zero,times(x,cos(x))))
    | sPE('+'(d(cos(x)),d(times(sin(x),x))),'+'(zero,times(x,cos(x)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(d(cos(x)),minus(times(sin(x),d(x))))
    | ~ sPE(d(times(sin(x),x)),d(times(sin(x),x)))
    | sPE('+'(d(cos(x)),d(times(sin(x),x))),'+'(minus(times(sin(x),d(x))),d(times(sin(x),x)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    sPE(d(times(sin(x),x)),d(times(sin(x),x))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE('+'(minus(times(sin(x),d(x))),d(times(sin(x),x))),'+'('+'(minus(times(sin(x),d(x))),times(sin(x),d(x))),times(x,d(sin(x)))))
    | ~ sPE('+'('+'(minus(times(sin(x),d(x))),times(sin(x),d(x))),times(x,d(sin(x)))),'+'(zero,times(x,cos(x))))
    | sPE('+'(minus(times(sin(x),d(x))),d(times(sin(x),x))),'+'(zero,times(x,cos(x)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE('+'(minus(times(sin(x),d(x))),d(times(sin(x),x))),'+'(minus(times(sin(x),d(x))),'+'(times(sin(x),d(x)),times(x,d(sin(x))))))
    | ~ sPE('+'(minus(times(sin(x),d(x))),'+'(times(sin(x),d(x)),times(x,d(sin(x))))),'+'('+'(minus(times(sin(x),d(x))),times(sin(x),d(x))),times(x,d(sin(x)))))
    | sPE('+'(minus(times(sin(x),d(x))),d(times(sin(x),x))),'+'('+'(minus(times(sin(x),d(x))),times(sin(x),d(x))),times(x,d(sin(x))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    ( ~ sPE(minus(times(sin(x),d(x))),minus(times(sin(x),d(x))))
    | ~ sPE(d(times(sin(x),x)),'+'(times(sin(x),d(x)),times(x,d(sin(x)))))
    | sPE('+'(minus(times(sin(x),d(x))),d(times(sin(x),x))),'+'(minus(times(sin(x),d(x))),'+'(times(sin(x),d(x)),times(x,d(sin(x)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    sPE(d(times(sin(x),x)),'+'(times(sin(x),d(x)),times(x,d(sin(x))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',derivative_of_times)]) ).

cnf(g25,plain,
    sPE('+'(minus(times(sin(x),d(x))),'+'(times(sin(x),d(x)),times(x,d(sin(x))))),'+'('+'(minus(times(sin(x),d(x))),times(sin(x),d(x))),times(x,d(sin(x))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associtivity_of_plus)]) ).

cnf(g26,plain,
    ( ~ sPE('+'(zero,times(x,cos(x))),'+'('+'(minus(times(sin(x),d(x))),times(sin(x),d(x))),times(x,d(sin(x)))))
    | sPE('+'('+'(minus(times(sin(x),d(x))),times(sin(x),d(x))),times(x,d(sin(x)))),'+'(zero,times(x,cos(x)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ sPE(zero,'+'(minus(times(sin(x),d(x))),times(sin(x),d(x))))
    | ~ sPE(times(x,cos(x)),times(x,d(sin(x))))
    | sPE('+'(zero,times(x,cos(x))),'+'('+'(minus(times(sin(x),d(x))),times(sin(x),d(x))),times(x,d(sin(x))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g28,plain,
    ( ~ sPE(zero,'+'(times(sin(x),d(x)),minus(times(sin(x),d(x)))))
    | ~ sPE('+'(times(sin(x),d(x)),minus(times(sin(x),d(x)))),'+'(minus(times(sin(x),d(x))),times(sin(x),d(x))))
    | sPE(zero,'+'(minus(times(sin(x),d(x))),times(sin(x),d(x)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g29,plain,
    ( ~ sPE('+'(times(sin(x),d(x)),minus(times(sin(x),d(x)))),zero)
    | sPE(zero,'+'(times(sin(x),d(x)),minus(times(sin(x),d(x))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    sPE('+'(times(sin(x),d(x)),minus(times(sin(x),d(x)))),'+'(minus(times(sin(x),d(x))),times(sin(x),d(x)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_plus)]) ).

cnf(g31,plain,
    ( ~ sPE(times(x,d(sin(x))),times(x,cos(x)))
    | sPE(times(x,cos(x)),times(x,d(sin(x)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g32,plain,
    ( ~ sPE(x,x)
    | ~ sPE(d(sin(x)),cos(x))
    | sPE(times(x,d(sin(x))),times(x,cos(x))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : ANA133-1 : TPTP v8.1.0. Released v8.1.0.
% 0.08/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 02:28:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 8.42/1.42  % symbols: 11
% 8.42/1.42  % clauses: 26
% 8.42/1.42  % start clauses: 1
% 8.42/1.42  % iterative deepening steps: 2859
% 8.42/1.42  % maximum path limit: 11
% 8.42/1.42  % literal attempts: 771145
% 8.42/1.42  % depth failures: 256061
% 8.42/1.42  % regularity failures: 90449
% 8.42/1.42  % tautology failures: 58421
% 8.42/1.42  % reductions: 0
% 8.42/1.42  % extensions: 769547
% 8.42/1.42  % SAT variables: 304215
% 8.42/1.42  % SAT clauses: 506192
% 8.42/1.42  % WalkSAT solutions: 506191
% 8.42/1.42  % CDCL solutions: 0
% 8.42/1.42  % SZS status Unsatisfiable for theBenchmark
% 8.42/1.42  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------