%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COL102-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 17:17:32 EDT 2024
% Result : Unsatisfiable 0.45s 0.64s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Transitive__Closure_Or__into__rtrancl_0,axiom,
( ~ c_in(X3,X2,tc_prod(X4,X4))
| c_in(X3,c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Comb_Ocontract_OAp1_0,axiom,
( ~ c_in(c_Pair(X6,X5,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X6,X7),c_Comb_Ocomb_Oop_A_D_D(X5,X7),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Ocontract_OAp1_0) ).
cnf(c9,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,X8),c_Comb_Ocomb_Oop_A_D_D(v_za,X8),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolution,[status(thm)],[cls_Comb_Ocontract_OAp1_0,cls_conjecture_1]) ).
cnf(c10,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,X9),c_Comb_Ocomb_Oop_A_D_D(v_za,X9),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolution,[status(thm)],[c9,cls_Transitive__Closure_Or__into__rtrancl_0]) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Transitive__Closure_Ortrancl__trans_0,axiom,
( ~ c_in(c_Pair(X16,X18,X15,X15),c_Transitive__Closure_Ortrancl(X17,X15),tc_prod(X15,X15))
| ~ c_in(c_Pair(X19,X16,X15,X15),c_Transitive__Closure_Ortrancl(X17,X15),tc_prod(X15,X15))
| c_in(c_Pair(X19,X18,X15,X15),c_Transitive__Closure_Ortrancl(X17,X15),tc_prod(X15,X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
cnf(c26,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),X71,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X71,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolution,[status(thm)],[cls_Transitive__Closure_Ortrancl__trans_0,cls_conjecture_2]) ).
cnf(c73,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolution,[status(thm)],[c26,c10]) ).
cnf(c74,plain,
$false,
inference(resolution,[status(thm)],[c73,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL102-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n013.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 : 300
% 0.13/0.35 % DateTime : Wed May 8 21:43:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.45/0.64 % Version: 1.5
% 0.45/0.64 % SZS status Unsatisfiable
% 0.45/0.64 % SZS output start CNFRefutation
% See solution above
% 0.45/0.64
% 0.45/0.64 % Initial clauses : 6
% 0.45/0.64 % Processed clauses : 47
% 0.45/0.64 % Factors computed : 1
% 0.45/0.64 % Resolvents computed: 76
% 0.45/0.64 % Tautologies deleted: 1
% 0.45/0.64 % Forward subsumed : 0
% 0.45/0.64 % Backward subsumed : 0
% 0.45/0.64 % -------- CPU Time ---------
% 0.45/0.64 % User time : 0.261 s
% 0.45/0.64 % System time : 0.015 s
% 0.45/0.64 % Total time : 0.276 s
%------------------------------------------------------------------------------