%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COL104-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 0.72s
% 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_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_za),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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Transitive__Closure_Or__into__rtrancl_0,axiom,
( ~ c_in(X4,X2,tc_prod(X3,X3))
| c_in(X4,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Comb_Ocontract_OAp2_0,axiom,
( ~ c_in(c_Pair(X5,X7,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,X5),c_Comb_Ocomb_Oop_A_D_D(X6,X7),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocontract_OAp2_0) ).
cnf(c9,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X8,v_y),c_Comb_Ocomb_Oop_A_D_D(X8,v_za),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolution,[status(thm)],[cls_Comb_Ocontract_OAp2_0,cls_conjecture_1]) ).
cnf(c11,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X9,v_y),c_Comb_Ocomb_Oop_A_D_D(X9,v_za),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_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_y),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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Transitive__Closure_Ortrancl__trans_0,axiom,
( ~ c_in(c_Pair(X19,X15,X17,X17),c_Transitive__Closure_Ortrancl(X16,X17),tc_prod(X17,X17))
| ~ c_in(c_Pair(X18,X19,X17,X17),c_Transitive__Closure_Ortrancl(X16,X17),tc_prod(X17,X17))
| c_in(c_Pair(X18,X15,X17,X17),c_Transitive__Closure_Ortrancl(X16,X17),tc_prod(X17,X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
cnf(c24,plain,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_y),X73,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_z,v_x),X73,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_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_za),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)],[c24,c11]) ).
cnf(c77,plain,
$false,
inference(resolution,[status(thm)],[c73,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL104-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.36 % Computer : n021.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed May 8 21:51:38 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.45/0.72 % Version: 1.5
% 0.45/0.72 % SZS status Unsatisfiable
% 0.45/0.72 % SZS output start CNFRefutation
% See solution above
% 0.45/0.72
% 0.45/0.72 % Initial clauses : 6
% 0.45/0.72 % Processed clauses : 48
% 0.45/0.72 % Factors computed : 1
% 0.45/0.72 % Resolvents computed: 77
% 0.45/0.72 % Tautologies deleted: 1
% 0.45/0.72 % Forward subsumed : 0
% 0.45/0.72 % Backward subsumed : 0
% 0.45/0.72 % -------- CPU Time ---------
% 0.45/0.72 % User time : 0.334 s
% 0.45/0.72 % System time : 0.015 s
% 0.45/0.72 % Total time : 0.349 s
%------------------------------------------------------------------------------