%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET830-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:40:10 EDT 2024
% Result : Unsatisfiable 5.15s 5.33s
% Output : Refutation 5.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 9 unt; 3 nHn; 16 RR)
% Number of literals : 36 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_OIntI_0,axiom,
( ~ c_in(X13,X11,X12)
| ~ c_in(X13,X10,X12)
| c_in(X13,c_inter(X10,X11,X12),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
cnf(c1,plain,
( ~ c_in(v_x,X37,t_a)
| c_in(v_x,c_inter(v_Z,X37,t_a),t_a) ),
inference(resolution,[status(thm)],[cls_Set_OIntI_0,cls_conjecture_3]) ).
cnf(c28,plain,
c_in(v_x,c_inter(v_Z,v_Y,t_a),t_a),
inference(resolution,[status(thm)],[c1,cls_conjecture_2]) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X20,X17,X18)
| ~ c_lessequals(X17,X19,tc_set(X18))
| c_in(X20,X19,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X24,X25,X26),X25,X26)
| c_lessequals(X24,X25,tc_set(X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OIntE_1,axiom,
( ~ c_in(X9,c_inter(X6,X7,X8),X8)
| c_in(X9,X6,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X21,X22,X23),X21,X23)
| c_lessequals(X21,X22,tc_set(X23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(c15,plain,
( c_lessequals(c_inter(X74,X75,X72),X73,tc_set(X72))
| c_in(c_Main_OsubsetI__1(c_inter(X74,X75,X72),X73,X72),X74,X72) ),
inference(resolution,[status(thm)],[cls_Set_OsubsetI_0,cls_Set_OIntE_1]) ).
cnf(c179,plain,
c_lessequals(c_inter(X77,X76,X78),X77,tc_set(X78)),
inference(resolution,[status(thm)],[c15,cls_Set_OsubsetI_1]) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_lessequals(X29,v_X,tc_set(t_a))
| ~ c_lessequals(X29,v_Z,tc_set(t_a))
| ~ c_lessequals(X29,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_Set_OIntE_0,axiom,
( ~ c_in(X5,c_inter(X2,X3,X4),X4)
| c_in(X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
cnf(c14,plain,
( c_lessequals(c_inter(X61,X62,X64),X63,tc_set(X64))
| c_in(c_Main_OsubsetI__1(c_inter(X61,X62,X64),X63,X64),X62,X64) ),
inference(resolution,[status(thm)],[cls_Set_OsubsetI_0,cls_Set_OIntE_0]) ).
cnf(c159,plain,
c_lessequals(c_inter(X66,X65,X67),X65,tc_set(X67)),
inference(resolution,[status(thm)],[c14,cls_Set_OsubsetI_1]) ).
cnf(c166,plain,
( c_lessequals(c_inter(X328,v_Y,t_a),v_X,tc_set(t_a))
| ~ c_lessequals(c_inter(X328,v_Y,t_a),v_Z,tc_set(t_a)) ),
inference(resolution,[status(thm)],[c159,cls_conjecture_5]) ).
cnf(c4639,plain,
c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a)),
inference(resolution,[status(thm)],[c166,c179]) ).
cnf(c5278,plain,
( ~ c_in(X510,c_inter(v_Z,v_Y,t_a),t_a)
| c_in(X510,v_X,t_a) ),
inference(resolution,[status(thm)],[c4639,cls_Set_OsubsetD_0]) ).
cnf(c9910,plain,
c_in(v_x,v_X,t_a),
inference(resolution,[status(thm)],[c5278,c28]) ).
cnf(c10005,plain,
$false,
inference(resolution,[status(thm)],[c9910,cls_conjecture_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET830-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 18:41:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 5.15/5.33 % Version: 1.5
% 5.15/5.33 % SZS status Unsatisfiable
% 5.15/5.33 % SZS output start CNFRefutation
% See solution above
% 5.15/5.33
% 5.15/5.33 % Initial clauses : 10
% 5.15/5.33 % Processed clauses : 312
% 5.15/5.33 % Factors computed : 10
% 5.15/5.33 % Resolvents computed: 10020
% 5.15/5.33 % Tautologies deleted: 1
% 5.15/5.33 % Forward subsumed : 672
% 5.15/5.33 % Backward subsumed : 0
% 5.15/5.33 % -------- CPU Time ---------
% 5.15/5.33 % User time : 4.918 s
% 5.15/5.33 % System time : 0.029 s
% 5.15/5.33 % Total time : 4.947 s
%------------------------------------------------------------------------------