TSTP Solution File: SWW361+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW361+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IqQCNQRRMG true
% Computer : n023.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 : Fri Sep 1 01:41:42 EDT 2023
% Result : Theorem 20.30s 3.51s
% Output : Refutation 20.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 40 ( 15 unt; 16 typ; 0 def)
% Number of atoms : 37 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 336 ( 15 ~; 8 |; 1 &; 308 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(t_a_type,type,
t_a: $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(v_P_type,type,
v_P: $i > $i > $o ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(tc_Com_Opname_type,type,
tc_Com_Opname: $i ).
thf(c_Set_Oimage_type,type,
c_Set_Oimage: $i > $i > $i > $i ).
thf(v_U_type,type,
v_U: $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i ).
thf(v_pn_type,type,
v_pn: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(v_G_type,type,
v_G: $i ).
thf(c_Orderings_Obot__class_Obot_type,type,
c_Orderings_Obot__class_Obot: $i > $i ).
thf(v_mgt__call_type,type,
v_mgt__call: $i ).
thf(conj_1,axiom,
( v_G
= ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ).
thf(zip_derived_cl7583,plain,
( v_G
= ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_image__eqI,axiom,
! [T_b: $i,V_A_2: $i,T_c: $i,V_x_2: $i,V_f_2: $i,V_b_2: $i] :
( ( V_b_2
= ( hAPP @ V_f_2 @ V_x_2 ) )
=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_c ) @ V_x_2 ) @ V_A_2 ) )
=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_b_2 ) @ ( hAPP @ ( c_Set_Oimage @ T_c @ T_b @ V_f_2 ) @ V_A_2 ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
| ( X4
!= ( hAPP @ X3 @ X1 ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X5 ) @ X4 ) @ ( hAPP @ ( c_Set_Oimage @ X0 @ X5 @ X3 ) @ X2 ) ) ) ),
inference(cnf,[status(esa)],[fact_image__eqI]) ).
thf(zip_derived_cl20230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ ( hAPP @ X1 @ X4 ) ) @ ( hAPP @ ( c_Set_Oimage @ X3 @ X2 @ X1 ) @ X0 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X3 ) @ X4 ) @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl20231,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ X0 ) ) @ v_G ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ X0 ) @ v_U ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7583,zip_derived_cl20230]) ).
thf(fact_insert__subset,axiom,
! [V_B_2: $i,V_A_2: $i,V_x_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_x_2 ) @ V_A_2 ) ) @ V_B_2 ) )
<=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_B_2 ) )
& ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_A_2 ) @ V_B_2 ) ) ) ) ).
thf(zip_derived_cl141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X1 ) @ X2 ) ) @ X3 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X2 ) @ X3 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X3 ) ) ),
inference(cnf,[status(esa)],[fact_insert__subset]) ).
thf(fact_assms_I1_J,axiom,
! [V_G_2: $i,V_ts_2: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ V_ts_2 ) @ V_G_2 ) )
=> ( v_P @ V_G_2 @ V_ts_2 ) ) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i] :
( ( v_P @ X0 @ X1 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_assms_I1_J]) ).
thf(conj_3,conjecture,
v_P @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( v_P @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_3]) ).
thf(zip_derived_cl7585,plain,
~ ( v_P @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7583_001,plain,
( v_G
= ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl20227,plain,
~ ( v_P @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7585,zip_derived_cl7583]) ).
thf(zip_derived_cl20576,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ) @ v_G ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl20227]) ).
thf(zip_derived_cl21159,plain,
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) @ v_G ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl20576]) ).
thf(fact_empty__subsetI,axiom,
! [V_A_2: $i,T_b: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) @ V_A_2 ) ) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_empty__subsetI]) ).
thf(zip_derived_cl21169,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ),
inference(demod,[status(thm)],[zip_derived_cl21159,zip_derived_cl89]) ).
thf(zip_derived_cl21173,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_pn ) @ v_U ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20231,zip_derived_cl21169]) ).
thf(conj_2,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_pn ) @ v_U ) ).
thf(zip_derived_cl7584,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_pn ) @ v_U ),
inference(cnf,[status(esa)],[conj_2]) ).
thf(zip_derived_cl21174,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl21173,zip_derived_cl7584]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW361+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IqQCNQRRMG true
% 0.13/0.35 % Computer : n023.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 : Sun Aug 27 18:34:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.48/0.63 % Total configuration time : 435
% 0.48/0.63 % Estimated wc time : 1092
% 0.48/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 20.30/3.51 % Solved by fo/fo6_bce.sh.
% 20.30/3.51 % BCE start: 7586
% 20.30/3.51 % BCE eliminated: 337
% 20.30/3.51 % PE start: 7249
% 20.30/3.51 logic: eq
% 20.30/3.51 % PE eliminated: 223
% 20.30/3.51 % done 555 iterations in 2.782s
% 20.30/3.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 20.30/3.51 % SZS output start Refutation
% See solution above
% 20.30/3.51
% 20.30/3.51
% 20.30/3.51 % Terminating...
% 20.65/3.55 % Runner terminated.
% 20.65/3.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------