TSTP Solution File: SCT126+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : Tue Apr 30 20:38:20 EDT 2024
% Result : Theorem 10.89s 1.86s
% Output : CNFRefutation 11.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 49 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 18 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [V_A_2,V_x_2,T_a] :
( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
<=> hBOOL(hAPP(V_A_2,V_x_2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,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)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [V_x_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
( 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)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f514,axiom,
! [V_Q,V_P,T_b,T_a] : hAPP(c_COMBK(T_a,T_b,V_P),V_Q) = V_P,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f525,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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f526,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(negated_conjecture,[status(cth)],[f525]) ).
fof(f532,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_transformation,[status(esa)],[f4]) ).
fof(f554,plain,
! [V_A_2,V_x_2,T_a] :
( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
| hBOOL(hAPP(V_A_2,V_x_2)) )
& ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
| ~ hBOOL(hAPP(V_A_2,V_x_2)) ) ),
inference(NNF_transformation,[status(esa)],[f12]) ).
fof(f555,plain,
( ! [V_A_2,V_x_2] :
( ! [T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
| hBOOL(hAPP(V_A_2,V_x_2)) )
& ! [V_A_2,V_x_2] :
( ! [T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
| ~ hBOOL(hAPP(V_A_2,V_x_2)) ) ),
inference(miniscoping,[status(esa)],[f554]) ).
fof(f556,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| hBOOL(hAPP(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f555]) ).
fof(f557,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f555]) ).
fof(f625,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_transformation,[status(esa)],[f24]) ).
fof(f678,plain,
! [V_x_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
( ~ 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)) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f679,plain,
! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
( ~ 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)))
| ! [V_x_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)) ) ),
inference(miniscoping,[status(esa)],[f678]) ).
fof(f680,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X0,X1)),X2),c_FuncSet_OPi(X0,X1,X3,X4)))
| hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X5)),hAPP(X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X5),X3)) ),
inference(cnf_transformation,[status(esa)],[f679]) ).
fof(f2110,plain,
! [X0,X1,X2,X3] : hAPP(c_COMBK(X0,X1,X2),X3) = X2,
inference(cnf_transformation,[status(esa)],[f514]) ).
fof(f2123,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_transformation,[status(esa)],[f526]) ).
fof(f2254,plain,
~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,v_Q____))),
inference(resolution,[status(thm)],[f557,f2123]) ).
fof(f2280,plain,
hBOOL(hAPP(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)),v_F)),
inference(resolution,[status(thm)],[f625,f556]) ).
fof(f3395,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(X0),hAPP(X1,X2)),hAPP(X3,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X2),X5))
| ~ hBOOL(hAPP(c_FuncSet_OPi(X4,X0,X5,X3),X1)) ),
inference(resolution,[status(thm)],[f680,f557]) ).
fof(f3663,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| ~ hBOOL(hAPP(c_FuncSet_OPi(X0,X3,X2,X4),X5))
| hBOOL(hAPP(hAPP(X4,X1),hAPP(X5,X1))) ),
inference(resolution,[status(thm)],[f3395,f556]) ).
fof(f3675,plain,
! [X0] :
( ~ 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_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),hAPP(v_F,X0))) ),
inference(resolution,[status(thm)],[f3663,f2280]) ).
fof(f3676,plain,
! [X0] :
( ~ 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(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,X0))) ),
inference(forward_demodulation,[status(thm)],[f2110,f3675]) ).
fof(f3684,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,v_Q____))),
inference(resolution,[status(thm)],[f3676,f532]) ).
fof(f3685,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3684,f2254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 20:38:47 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.43 % Drodi V3.6.0
% 10.89/1.86 % Refutation found
% 10.89/1.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.89/1.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.39/1.92 % Elapsed time: 1.542600 seconds
% 11.39/1.92 % CPU time: 11.502167 seconds
% 11.39/1.92 % Total memory used: 322.088 MB
% 11.39/1.92 % Net memory used: 316.177 MB
%------------------------------------------------------------------------------