%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 17:17:37 EDT 2024
% Result : Unsatisfiable 1.70s 1.89s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 11 unt; 0 nHn; 23 RR)
% Number of literals : 42 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Transitive__Closure_Ortrancl__trans_0,axiom,
( ~ c_in(c_Pair(X15,X19,X18,X18),c_Transitive__Closure_Ortrancl(X16,X18),tc_prod(X18,X18))
| ~ c_in(c_Pair(X17,X15,X18,X18),c_Transitive__Closure_Ortrancl(X16,X18),tc_prod(X18,X18))
| c_in(c_Pair(X17,X19,X18,X18),c_Transitive__Closure_Ortrancl(X16,X18),tc_prod(X18,X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_in(c_Pair(X26,v_x(X26),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X26,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c50,plain,
c_in(c_Pair(v_xaa,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[cls_conjecture_5,cls_conjecture_3]) ).
cnf(c52,plain,
( ~ c_in(c_Pair(v_x(v_xaa),X36,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_xaa,X36,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c50,cls_Transitive__Closure_Ortrancl__trans_0]) ).
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/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Comb_Odiamond(v_r,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Comb_Odiamond__strip__lemmaE_1,axiom,
( ~ c_Comb_Odiamond(X11,X12)
| ~ c_in(c_Pair(X10,X14,X12,X12),X11,tc_prod(X12,X12))
| ~ c_in(c_Pair(X10,X13,X12,X12),c_Transitive__Closure_Ortrancl(X11,X12),tc_prod(X12,X12))
| c_in(c_Pair(X13,c_Comb_Odiamond__strip__lemmaE__1(X11,X13,X14,X12),X12,X12),X11,tc_prod(X12,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Odiamond__strip__lemmaE_1) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_in(c_Pair(v_ya,v_x(X27),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X27,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c51,plain,
c_in(c_Pair(v_ya,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[cls_conjecture_4,cls_conjecture_3]) ).
cnf(c58,plain,
( ~ c_Comb_Odiamond(v_r,t_a)
| ~ c_in(c_Pair(v_ya,X76,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),X76,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c51,cls_Comb_Odiamond__strip__lemmaE_1]) ).
cnf(c721,plain,
( ~ c_Comb_Odiamond(v_r,t_a)
| c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c58,cls_conjecture_2]) ).
cnf(c722,plain,
c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c721,cls_conjecture_0]) ).
cnf(c723,plain,
c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c722,cls_Transitive__Closure_Or__into__rtrancl_0]) ).
cnf(c730,plain,
c_in(c_Pair(v_xaa,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c723,c52]) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ c_in(c_Pair(v_xaa,X23,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_z,X23,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_Comb_Odiamond__strip__lemmaE_0,axiom,
( ~ c_Comb_Odiamond(X6,X7)
| ~ c_in(c_Pair(X5,X9,X7,X7),X6,tc_prod(X7,X7))
| ~ c_in(c_Pair(X5,X8,X7,X7),c_Transitive__Closure_Ortrancl(X6,X7),tc_prod(X7,X7))
| c_in(c_Pair(X9,c_Comb_Odiamond__strip__lemmaE__1(X6,X8,X9,X7),X7,X7),c_Transitive__Closure_Ortrancl(X6,X7),tc_prod(X7,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Odiamond__strip__lemmaE_0) ).
cnf(c60,plain,
( ~ c_Comb_Odiamond(v_r,t_a)
| ~ c_in(c_Pair(v_ya,X77,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X77,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),X77,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c51,cls_Comb_Odiamond__strip__lemmaE_0]) ).
cnf(c745,plain,
( ~ c_Comb_Odiamond(v_r,t_a)
| c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c60,cls_conjecture_2]) ).
cnf(c778,plain,
c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c745,cls_conjecture_0]) ).
cnf(c783,plain,
~ c_in(c_Pair(v_xaa,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c778,cls_conjecture_6]) ).
cnf(c785,plain,
$false,
inference(resolution,[status(thm)],[c783,c730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n029.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed May 8 21:50:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 1.70/1.89 % Version: 1.5
% 1.70/1.89 % SZS status Unsatisfiable
% 1.70/1.89 % SZS output start CNFRefutation
% See solution above
% 1.70/1.89
% 1.70/1.89 % Initial clauses : 10
% 1.70/1.89 % Processed clauses : 227
% 1.70/1.89 % Factors computed : 1
% 1.70/1.89 % Resolvents computed: 785
% 1.70/1.89 % Tautologies deleted: 1
% 1.70/1.89 % Forward subsumed : 38
% 1.70/1.89 % Backward subsumed : 4
% 1.70/1.89 % -------- CPU Time ---------
% 1.70/1.89 % User time : 1.512 s
% 1.70/1.89 % System time : 0.014 s
% 1.70/1.89 % Total time : 1.526 s
%------------------------------------------------------------------------------