TSTP Solution File: SCT131+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT131+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.fkIAG9RgFF true
% Computer : n002.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 14:27:17 EDT 2023
% Result : Theorem 117.81s 17.59s
% Output : Refutation 117.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 22
% Syntax : Number of formulae : 38 ( 14 unt; 16 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 335 ( 12 ~; 9 |; 0 &; 310 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Arrow__Order__Mirabelle_OProf_type,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
thf(c_Product__Type_OPair_type,type,
c_Product__Type_OPair: $i > $i > $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(v_b_H_____type,type,
v_b_H____: $i ).
thf(v_b_____type,type,
v_b____: $i ).
thf(tc_Arrow__Order__Mirabelle_Oindi_type,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(v_Q_____type,type,
v_Q____: $i ).
thf(sk__9_type,type,
sk__9: $i > $i > $i > $i ).
thf(tc_Arrow__Order__Mirabelle_Oalt_type,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
thf(c_Arrow__Order__Mirabelle_Ounanimity_type,type,
c_Arrow__Order__Mirabelle_Ounanimity: $i > $o ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(v_F_type,type,
v_F: $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(conj_0,conjecture,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_b_H____ ) ) @ ( hAPP @ v_F @ v_Q____ ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_b_H____ ) ) @ ( hAPP @ v_F @ v_Q____ ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl820,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_b_H____ ) ) @ ( hAPP @ v_F @ v_Q____ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_unanimity__def,axiom,
! [V_Fa_2: $i] :
( ( c_Arrow__Order__Mirabelle_Ounanimity @ V_Fa_2 )
<=> ! [B_x: $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 ) ) ) @ B_x ) @ c_Arrow__Order__Mirabelle_OProf ) )
=> ! [B_a: $i,B_b: $i] :
( ! [B_i: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ B_a ) @ B_b ) ) @ ( hAPP @ B_x @ B_i ) ) )
=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ B_a ) @ B_b ) ) @ ( hAPP @ V_Fa_2 @ B_x ) ) ) ) ) ) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $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_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ X1 ) @ X2 ) ) @ ( hAPP @ X3 @ X0 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ X1 ) @ X2 ) ) @ ( hAPP @ X0 @ ( sk__9 @ X2 @ X1 @ X0 ) ) ) )
| ~ ( c_Arrow__Order__Mirabelle_Ounanimity @ X3 ) ),
inference(cnf,[status(esa)],[fact_unanimity__def]) ).
thf(zip_derived_cl19709,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 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_b_H____ ) ) @ ( hAPP @ v_Q____ @ ( sk__9 @ v_b_H____ @ v_b____ @ v_Q____ ) ) ) )
| ~ ( c_Arrow__Order__Mirabelle_Ounanimity @ v_F ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl820,zip_derived_cl114]) ).
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_cl55,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_cl53,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_cl6516,plain,
hBOOL @ ( hAPP @ c_Arrow__Order__Mirabelle_OProf @ v_Q____ ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl53]) ).
thf(zip_derived_cl54,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_cl6530,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ v_Q____ ) @ c_Arrow__Order__Mirabelle_OProf ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6516,zip_derived_cl54]) ).
thf(zip_derived_cl53_001,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(fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096,axiom,
! [V_i_2: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_b_H____ ) ) @ ( hAPP @ v_Q____ @ V_i_2 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_b_H____ ) ) @ ( hAPP @ v_Q____ @ X0 ) ) ),
inference(cnf,[status(esa)],[fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096]) ).
thf(zip_derived_cl852,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ v_Q____ @ X0 ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_b_H____ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl5]) ).
thf(zip_derived_cl54_002,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_cl3034,plain,
! [X0: $i,X1: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ v_b____ ) @ v_b_H____ ) ) @ ( hAPP @ v_Q____ @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl852,zip_derived_cl54]) ).
thf(fact_u,axiom,
c_Arrow__Order__Mirabelle_Ounanimity @ v_F ).
thf(zip_derived_cl1,plain,
c_Arrow__Order__Mirabelle_Ounanimity @ v_F,
inference(cnf,[status(esa)],[fact_u]) ).
thf(zip_derived_cl19818,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl19709,zip_derived_cl6530,zip_derived_cl3034,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fkIAG9RgFF true
% 0.13/0.35 % Computer : n002.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 : Thu Aug 24 16:52:46 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
% 0.20/0.61 % Total configuration time : 435
% 0.20/0.61 % Estimated wc time : 1092
% 0.20/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 117.81/17.59 % Solved by fo/fo13.sh.
% 117.81/17.59 % done 800 iterations in 16.826s
% 117.81/17.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 117.81/17.59 % SZS output start Refutation
% See solution above
% 117.81/17.59
% 117.81/17.59
% 117.81/17.59 % Terminating...
% 120.43/17.93 % Runner terminated.
% 120.43/17.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------