TSTP Solution File: SCT126+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT126+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.U9wziZenhv true
% 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 Aug 31 14:27:16 EDT 2023
% Result : Theorem 5.99s 1.46s
% Output : Refutation 5.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 34 ( 13 unt; 14 typ; 0 def)
% Number of atoms : 29 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 352 ( 10 ~; 6 |; 0 &; 333 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 8 con; 0-4 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_member_type,type,
c_member: $i > $i ).
thf(tc_Arrow__Order__Mirabelle_Oindi_type,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
thf(c_Arrow__Order__Mirabelle_OProf_type,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
thf(c_Arrow__Order__Mirabelle_OLin_type,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_COMBK_type,type,
c_COMBK: $i > $i > $i > $i ).
thf(c_FuncSet_OPi_type,type,
c_FuncSet_OPi: $i > $i > $i > $i > $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(tc_Arrow__Order__Mirabelle_Oalt_type,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
thf(v_F_type,type,
v_F: $i ).
thf(v_Q_____type,type,
v_Q____: $i ).
thf(conj_0,conjecture,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( hAPP @ v_F @ v_Q____ ) ) @ c_Arrow__Order__Mirabelle_OLin ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( hAPP @ v_F @ v_Q____ ) ) @ c_Arrow__Order__Mirabelle_OLin ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl333,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( hAPP @ v_F @ v_Q____ ) ) @ c_Arrow__Order__Mirabelle_OLin ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_assms_I1_J,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) ) @ v_F ) @ ( c_FuncSet_OPi @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ c_Arrow__Order__Mirabelle_OProf @ ( c_COMBK @ ( tc_fun @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ tc_HOL_Obool ) @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ c_Arrow__Order__Mirabelle_OLin ) ) ) ).
thf(zip_derived_cl60,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) ) @ v_F ) @ ( c_FuncSet_OPi @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ c_Arrow__Order__Mirabelle_OProf @ ( c_COMBK @ ( tc_fun @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ tc_HOL_Obool ) @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ c_Arrow__Order__Mirabelle_OLin ) ) ),
inference(cnf,[status(esa)],[fact_assms_I1_J]) ).
thf(fact_PiE,axiom,
! [V_x_2: $i,V_B_2: $i,V_A_2: $i,V_f_2: $i,T_b: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ T_a @ T_b ) ) @ V_f_2 ) @ ( c_FuncSet_OPi @ T_a @ T_b @ V_A_2 @ V_B_2 ) ) )
=> ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ ( hAPP @ V_f_2 @ V_x_2 ) ) @ ( hAPP @ V_B_2 @ V_x_2 ) ) )
=> ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_x_2 ) @ V_A_2 ) ) ) ) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ ( hAPP @ X1 @ X2 ) ) @ ( hAPP @ X3 @ X2 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ X4 @ X0 ) ) @ X1 ) @ ( c_FuncSet_OPi @ X4 @ X0 @ X5 @ X3 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X4 ) @ X2 ) @ X5 ) ) ),
inference(cnf,[status(esa)],[fact_PiE]) ).
thf(zip_derived_cl2439,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) ) @ X0 ) @ c_Arrow__Order__Mirabelle_OProf ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( hAPP @ v_F @ X0 ) ) @ ( hAPP @ ( c_COMBK @ ( tc_fun @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ tc_HOL_Obool ) @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ c_Arrow__Order__Mirabelle_OLin ) @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl77]) ).
thf(help_c__COMBK__1,axiom,
! [V_Q: $i,V_P: $i,T_b: $i,T_a: $i] :
( ( hAPP @ ( c_COMBK @ T_a @ T_b @ V_P ) @ V_Q )
= V_P ) ).
thf(zip_derived_cl328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP @ ( c_COMBK @ X1 @ X2 @ X0 ) @ X3 )
= X0 ),
inference(cnf,[status(esa)],[help_c__COMBK__1]) ).
thf(zip_derived_cl2442,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) ) @ X0 ) @ c_Arrow__Order__Mirabelle_OProf ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( hAPP @ v_F @ X0 ) ) @ c_Arrow__Order__Mirabelle_OLin ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2439,zip_derived_cl328]) ).
thf(fact__096Q_A_058_AProf_096,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) ) @ v_Q____ ) @ c_Arrow__Order__Mirabelle_OProf ) ).
thf(zip_derived_cl3,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) ) @ v_Q____ ) @ c_Arrow__Order__Mirabelle_OProf ),
inference(cnf,[status(esa)],[fact__096Q_A_058_AProf_096]) ).
thf(fact_mem__def,axiom,
! [V_A_2: $i,V_x_2: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_x_2 ) @ V_A_2 ) )
<=> ( hBOOL @ ( hAPP @ V_A_2 @ V_x_2 ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl1637,plain,
hBOOL @ ( hAPP @ c_Arrow__Order__Mirabelle_OProf @ v_Q____ ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
| ~ ( hBOOL @ ( hAPP @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl1653,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ v_Q____ ) @ c_Arrow__Order__Mirabelle_OProf ) ),
inference('sup-',[status(thm)],[zip_derived_cl1637,zip_derived_cl14]) ).
thf(zip_derived_cl3261,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) ) @ ( hAPP @ v_F @ v_Q____ ) ) @ c_Arrow__Order__Mirabelle_OLin ),
inference('sup+',[status(thm)],[zip_derived_cl2442,zip_derived_cl1653]) ).
thf(zip_derived_cl3282,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl3261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U9wziZenhv true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 15:35:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.16/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.16/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.16/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.16/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.99/1.46 % Solved by fo/fo3_bce.sh.
% 5.99/1.46 % BCE start: 334
% 5.99/1.46 % BCE eliminated: 2
% 5.99/1.46 % PE start: 332
% 5.99/1.46 logic: eq
% 5.99/1.46 % PE eliminated: -6
% 5.99/1.46 % done 343 iterations in 0.688s
% 5.99/1.46 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.99/1.46 % SZS output start Refutation
% See solution above
% 5.99/1.46
% 5.99/1.46
% 5.99/1.46 % Terminating...
% 6.45/1.58 % Runner terminated.
% 6.45/1.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------