%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COL123-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 17:17:38 EDT 2024
% Result : Unsatisfiable 0.70s 0.88s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 20 ( 10 unt; 0 nHn; 20 RR)
% Number of literals : 33 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_in(c_Pair(v_z,X15,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xb,X15,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(cls_Transitive__Closure_Ortrancl__trans_0,axiom,
( ~ c_in(c_Pair(X7,X9,X5,X5),c_Transitive__Closure_Ortrancl(X8,X5),tc_prod(X5,X5))
| ~ c_in(c_Pair(X6,X7,X5,X5),c_Transitive__Closure_Ortrancl(X8,X5),tc_prod(X5,X5))
| c_in(c_Pair(X6,X9,X5,X5),c_Transitive__Closure_Ortrancl(X8,X5),tc_prod(X5,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(c_Pair(X13,v_xaa(X13),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_x,X13,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c15,plain,
c_in(c_Pair(v_xb,v_xaa(v_xb),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[cls_conjecture_3,cls_conjecture_2]) ).
cnf(c17,plain,
( ~ c_in(c_Pair(v_xaa(v_xb),X34,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| c_in(c_Pair(v_xb,X34,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c15,cls_Transitive__Closure_Ortrancl__trans_0]) ).
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_4,negated_conjecture,
( c_in(c_Pair(v_y,v_xaa(X14),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_x,X14,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c26,plain,
c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[cls_conjecture_4,cls_conjecture_2]) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_7,negated_conjecture,
( c_in(c_Pair(X21,v_xa(X22,X23,X21),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X22,X21,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X22,X23,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(c63,plain,
( c_in(c_Pair(X33,v_xa(v_y,v_z,X33),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X33,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[cls_conjecture_7,cls_conjecture_1]) ).
cnf(c128,plain,
c_in(c_Pair(v_xaa(v_xb),v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c63,c26]) ).
cnf(c130,plain,
c_in(c_Pair(v_xaa(v_xb),v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c128,cls_Transitive__Closure_Or__into__rtrancl_0]) ).
cnf(c140,plain,
c_in(c_Pair(v_xb,v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c130,c17]) ).
cnf(c143,plain,
~ c_in(c_Pair(v_z,v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c140,cls_conjecture_5]) ).
cnf(cls_conjecture_6,negated_conjecture,
( c_in(c_Pair(X18,v_xa(X17,X18,X16),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X17,X16,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X17,X18,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c47,plain,
( c_in(c_Pair(v_z,v_xa(v_y,v_z,X44),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,X44,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[cls_conjecture_6,cls_conjecture_1]) ).
cnf(c202,plain,
c_in(c_Pair(v_z,v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c47,c26]) ).
cnf(c204,plain,
$false,
inference(resolution,[status(thm)],[c202,c143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL123-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n003.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 21:43:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.70/0.88 % Version: 1.5
% 0.70/0.88 % SZS status Unsatisfiable
% 0.70/0.88 % SZS output start CNFRefutation
% See solution above
% 0.70/0.88
% 0.70/0.88 % Initial clauses : 9
% 0.70/0.88 % Processed clauses : 105
% 0.70/0.88 % Factors computed : 3
% 0.70/0.88 % Resolvents computed: 205
% 0.70/0.88 % Tautologies deleted: 1
% 0.70/0.88 % Forward subsumed : 24
% 0.70/0.88 % Backward subsumed : 0
% 0.70/0.88 % -------- CPU Time ---------
% 0.70/0.88 % User time : 0.512 s
% 0.70/0.88 % System time : 0.016 s
% 0.70/0.88 % Total time : 0.528 s
%------------------------------------------------------------------------------