%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV412+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 : 300s
% DateTime : Thu May 9 17:44:55 EDT 2024
% Result : Theorem 0.73s 0.90s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 12 ~; 7 |; 14 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l48_co,conjecture,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l48_co) ).
fof(c10,negated_conjecture,
~ ! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
inference(assume_negation,[status(cth)],[l48_co]) ).
fof(c11,negated_conjecture,
? [U,V,W,X] :
( pair_in_list(U,V,W)
& strictly_less_than(V,X)
& strictly_less_than(W,X)
& ~ pair_in_list(update_slb(U,X),V,X) ),
inference(fof_nnf,[status(thm)],[c10]) ).
fof(c12,negated_conjecture,
? [X2,X3,X4,X5] :
( pair_in_list(X2,X3,X4)
& strictly_less_than(X3,X5)
& strictly_less_than(X4,X5)
& ~ pair_in_list(update_slb(X2,X5),X3,X5) ),
inference(variable_rename,[status(thm)],[c11]) ).
fof(c13,negated_conjecture,
( pair_in_list(skolem0001,skolem0002,skolem0003)
& strictly_less_than(skolem0002,skolem0004)
& strictly_less_than(skolem0003,skolem0004)
& ~ pair_in_list(update_slb(skolem0001,skolem0004),skolem0002,skolem0004) ),
inference(skolemize,[status(esa)],[c12]) ).
cnf(c17,negated_conjecture,
~ pair_in_list(update_slb(skolem0001,skolem0004),skolem0002,skolem0004),
inference(split_conjunct,[status(thm)],[c13]) ).
cnf(c16,negated_conjecture,
strictly_less_than(skolem0003,skolem0004),
inference(split_conjunct,[status(thm)],[c13]) ).
cnf(c14,negated_conjecture,
pair_in_list(skolem0001,skolem0002,skolem0003),
inference(split_conjunct,[status(thm)],[c13]) ).
fof(l48_li3839,plain,
! [U,V,W,X] :
( ( pair_in_list(U,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(U,X),V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l48_li3839) ).
fof(c18,plain,
! [U,V,W,X] :
( ~ pair_in_list(U,V,W)
| ~ strictly_less_than(W,X)
| pair_in_list(update_slb(U,X),V,X) ),
inference(fof_nnf,[status(thm)],[l48_li3839]) ).
fof(c19,plain,
! [X6,X7,X8,X9] :
( ~ pair_in_list(X6,X7,X8)
| ~ strictly_less_than(X8,X9)
| pair_in_list(update_slb(X6,X9),X7,X9) ),
inference(variable_rename,[status(thm)],[c18]) ).
cnf(c20,plain,
( ~ pair_in_list(X183,X181,X182)
| ~ strictly_less_than(X182,X184)
| pair_in_list(update_slb(X183,X184),X181,X184) ),
inference(split_conjunct,[status(thm)],[c19]) ).
cnf(c178,plain,
( ~ strictly_less_than(skolem0003,X610)
| pair_in_list(update_slb(skolem0001,X610),skolem0002,X610) ),
inference(resolution,[status(thm)],[c20,c14]) ).
cnf(c987,plain,
pair_in_list(update_slb(skolem0001,skolem0004),skolem0002,skolem0004),
inference(resolution,[status(thm)],[c178,c16]) ).
cnf(c999,plain,
$false,
inference(resolution,[status(thm)],[c987,c17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV412+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n018.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 : 300
% 0.12/0.34 % DateTime : Thu May 9 06:18:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.73/0.90 % Version: 1.5
% 0.73/0.90 % SZS status Theorem
% 0.73/0.90 % SZS output start CNFRefutation
% See solution above
% 0.73/0.90
% 0.73/0.90 % Initial clauses : 43
% 0.73/0.90 % Processed clauses : 143
% 0.73/0.90 % Factors computed : 21
% 0.73/0.90 % Resolvents computed: 894
% 0.73/0.90 % Tautologies deleted: 6
% 0.73/0.90 % Forward subsumed : 226
% 0.73/0.90 % Backward subsumed : 2
% 0.73/0.90 % -------- CPU Time ---------
% 0.73/0.90 % User time : 0.542 s
% 0.73/0.90 % System time : 0.014 s
% 0.73/0.90 % Total time : 0.556 s
%------------------------------------------------------------------------------