TSTP Solution File: SYN060+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN060+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 21 11:25:00 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(pel30,conjecture,
! [X] : big_i(X),
input ).
fof(c0,negated_conjecture,
~ ! [X] : big_i(X),
inference(assume_negation,status(cth),[pel30]) ).
fof(c1,negated_conjecture,
? [X] : ~ big_i(X),
inference(fof_nnf,status(thm),[c0]) ).
fof(c2,negated_conjecture,
? [X2] : ~ big_i(X2),
inference(variable_rename,status(thm),[c1]) ).
fof(c3,negated_conjecture,
~ big_i(skolem0001),
inference(skolemize,status(esa),[c2]) ).
cnf(c4,negated_conjecture,
~ big_i(skolem0001),
inference(split_conjunct,status(thm),[c3]) ).
fof(pel30_2,axiom,
! [X] :
( ( big_g(X)
=> ~ big_i(X) )
=> ( big_f(X)
& big_h(X) ) ),
input ).
fof(c5,axiom,
! [X] :
( ( big_g(X)
=> ~ big_i(X) )
=> ( big_f(X)
& big_h(X) ) ),
inference(fof_simplification,status(thm),[pel30_2]) ).
fof(c6,axiom,
! [X] :
( ( big_g(X)
& big_i(X) )
| ( big_f(X)
& big_h(X) ) ),
inference(fof_nnf,status(thm),[c5]) ).
fof(c7,axiom,
! [X3] :
( ( big_g(X3)
& big_i(X3) )
| ( big_f(X3)
& big_h(X3) ) ),
inference(variable_rename,status(thm),[c6]) ).
fof(c8,axiom,
! [X3] :
( ( big_g(X3)
| big_f(X3) )
& ( big_g(X3)
| big_h(X3) )
& ( big_i(X3)
| big_f(X3) )
& ( big_i(X3)
| big_h(X3) ) ),
inference(distribute,status(thm),[c7]) ).
cnf(c11,axiom,
( big_i(X7)
| big_f(X7) ),
inference(split_conjunct,status(thm),[c8]) ).
cnf(c19,plain,
big_f(skolem0001),
inference(resolution,status(thm),[c11,c4]) ).
cnf(c12,axiom,
( big_i(X8)
| big_h(X8) ),
inference(split_conjunct,status(thm),[c8]) ).
cnf(c20,plain,
big_h(skolem0001),
inference(resolution,status(thm),[c12,c4]) ).
fof(pel30_1,axiom,
! [X] :
( ( big_f(X)
| big_g(X) )
=> ~ big_h(X) ),
input ).
fof(c13,axiom,
! [X] :
( ( big_f(X)
| big_g(X) )
=> ~ big_h(X) ),
inference(fof_simplification,status(thm),[pel30_1]) ).
fof(c14,axiom,
! [X] :
( ( ~ big_f(X)
& ~ big_g(X) )
| ~ big_h(X) ),
inference(fof_nnf,status(thm),[c13]) ).
fof(c15,axiom,
! [X4] :
( ( ~ big_f(X4)
& ~ big_g(X4) )
| ~ big_h(X4) ),
inference(variable_rename,status(thm),[c14]) ).
fof(c16,axiom,
! [X4] :
( ( ~ big_f(X4)
| ~ big_h(X4) )
& ( ~ big_g(X4)
| ~ big_h(X4) ) ),
inference(distribute,status(thm),[c15]) ).
cnf(c17,axiom,
( ~ big_f(X9)
| ~ big_h(X9) ),
inference(split_conjunct,status(thm),[c16]) ).
cnf(c22,plain,
~ big_f(skolem0001),
inference(resolution,status(thm),[c17,c20]) ).
cnf(c25,plain,
$false,
inference(resolution,status(thm),[c22,c19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN060+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 06:01:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 # Version: 1.3
% 0.20/0.55 # SZS status Theorem
% 0.20/0.55 # SZS output start CNFRefutation
% See solution above
% 0.20/0.55
% 0.20/0.55 # Initial clauses : 7
% 0.20/0.55 # Processed clauses : 9
% 0.20/0.55 # Factors computed : 0
% 0.20/0.55 # Resolvents computed: 8
% 0.20/0.55 # Tautologies deleted: 0
% 0.20/0.55 # Forward subsumed : 0
% 0.20/0.55 # Backward subsumed : 0
% 0.20/0.55 # -------- CPU Time ---------
% 0.20/0.55 # User time : 0.180 s
% 0.20/0.55 # System time : 0.017 s
% 0.20/0.55 # Total time : 0.197 s
%------------------------------------------------------------------------------