%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT029-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:07:13 PM UTC 2026
% Result : Satisfiable 0.10s 0.37s
% Output : Saturation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_F] :
( c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(V_F),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_Arrow__Order__Mirabelle_OIIA(V_F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_F] :
( c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(V_F),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_Arrow__Order__Mirabelle_Ounanimity(V_F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_F,V_x,V_i] :
( ~ c_Arrow__Order__Mirabelle_Odictator(V_F,V_i)
| ~ c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| hAPP(V_F,V_x) = hAPP(V_x,V_i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_x,V_S,T_a] :
( ~ hBOOL(hAPP(V_S,V_x))
| c_in(V_x,V_S,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_S,V_x,T_a] :
( ~ c_in(V_x,V_S,T_a)
| hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_F] :
( c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(V_F),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_Arrow__Order__Mirabelle_OIIA(V_F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_F,V_i] :
( c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F,V_i),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_Arrow__Order__Mirabelle_Odictator(V_F,V_i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
c_Arrow__Order__Mirabelle_OIIA(v_F),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [V_F,V_i] :
( c_Arrow__Order__Mirabelle_Odictator(V_F,V_i)
| hAPP(V_F,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F,V_i)) != hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F,V_i),V_i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [V_x] : ~ c_Arrow__Order__Mirabelle_Odictator(v_F,V_x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [V_x,T_a] : c_fequal(V_x,V_x,T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [V_X,V_Y,T_a] :
( ~ c_fequal(V_X,V_Y,T_a)
| V_X = V_Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0] :
( c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(X0),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_Arrow__Order__Mirabelle_OIIA(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
! [X0] :
( c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(X0),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_Arrow__Order__Mirabelle_Ounanimity(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
! [V_F,V_i] :
( ~ c_Arrow__Order__Mirabelle_Odictator(V_F,V_i)
| ! [V_x] :
( ~ c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| hAPP(V_F,V_x) = hAPP(V_x,V_i) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ c_Arrow__Order__Mirabelle_Odictator(X0,X2)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| hAPP(X0,X1) = hAPP(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [V_x,V_S] :
( ~ hBOOL(hAPP(V_S,V_x))
| ! [T_a] : c_in(V_x,V_S,T_a) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X0))
| c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [V_S,V_x] :
( ! [T_a] : ~ c_in(V_x,V_S,T_a)
| hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ c_in(X1,X0,X2)
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [X0] :
( c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(X0),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_Arrow__Order__Mirabelle_OIIA(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f23,plain,
! [X0,X1] :
( c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_Arrow__Order__Mirabelle_Odictator(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f24,plain,
c_Arrow__Order__Mirabelle_OIIA(v_F),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f25,plain,
! [X0,X1] :
( c_Arrow__Order__Mirabelle_Odictator(X0,X1)
| hAPP(X0,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1)) != hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
! [X0] : ~ c_Arrow__Order__Mirabelle_Odictator(v_F,X0),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
! [X0,X1] : c_fequal(X0,X0,X1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f29,plain,
! [V_X,V_Y] :
( ! [T_a] : ~ c_fequal(V_X,V_Y,T_a)
| V_X = V_Y ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ c_fequal(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hAPP(X1,v_sko__Arrow__Order__Mirabelle__XIIA__def__2(X0)) = hAPP(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(X0),X2)
| c_Arrow__Order__Mirabelle_OIIA(X0) ),
inference(resolution,[status(thm)],[f14,f17]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hAPP(X1,v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(X0)) = hAPP(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(X0),X2)
| c_Arrow__Order__Mirabelle_Ounanimity(X0) ),
inference(resolution,[status(thm)],[f15,f17]) ).
fof(f34,plain,
! [X0] :
( c_Arrow__Order__Mirabelle_Ounanimity(X0)
| hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(X0))) ),
inference(resolution,[status(thm)],[f21,f15]) ).
fof(f35,plain,
! [X0] :
( c_Arrow__Order__Mirabelle_OIIA(X0)
| hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_sko__Arrow__Order__Mirabelle__XIIA__def__2(X0))) ),
inference(resolution,[status(thm)],[f21,f14]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hAPP(X1,v_sko__Arrow__Order__Mirabelle__XIIA__def__3(X0)) = hAPP(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(X0),X2)
| c_Arrow__Order__Mirabelle_OIIA(X0) ),
inference(resolution,[status(thm)],[f22,f17]) ).
fof(f37,plain,
! [X0] :
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_sko__Arrow__Order__Mirabelle__XIIA__def__3(X0)))
| c_Arrow__Order__Mirabelle_OIIA(X0) ),
inference(resolution,[status(thm)],[f22,f21]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( ~ c_Arrow__Order__Mirabelle_Odictator(X2,X3)
| hAPP(X2,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1)) = hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1),X3)
| c_Arrow__Order__Mirabelle_Odictator(X0,X1) ),
inference(resolution,[status(thm)],[f23,f17]) ).
fof(f39,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1)))
| c_Arrow__Order__Mirabelle_Odictator(X0,X1) ),
inference(resolution,[status(thm)],[f23,f21]) ).
fof(f40,plain,
! [X0,X1] :
( c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(X0),c_Arrow__Order__Mirabelle_OProf,X1)
| c_Arrow__Order__Mirabelle_Ounanimity(X0) ),
inference(resolution,[status(thm)],[f34,f19]) ).
fof(f41,plain,
! [X0,X1] :
( c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(X0),c_Arrow__Order__Mirabelle_OProf,X1)
| c_Arrow__Order__Mirabelle_OIIA(X0) ),
inference(resolution,[status(thm)],[f35,f19]) ).
fof(f42,plain,
! [X0,X1] :
( c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(X0),c_Arrow__Order__Mirabelle_OProf,X1)
| c_Arrow__Order__Mirabelle_OIIA(X0) ),
inference(resolution,[status(thm)],[f37,f19]) ).
fof(f43,plain,
! [X0,X1,X2] :
( c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X0,X1),c_Arrow__Order__Mirabelle_OProf,X2)
| c_Arrow__Order__Mirabelle_Odictator(X0,X1) ),
inference(resolution,[status(thm)],[f39,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT029-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n014.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 04:27:04 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V4.1.1
% 0.10/0.37 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.10/0.37 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.067004 seconds
% 0.12/0.41 % CPU time: 0.206027 seconds
% 0.12/0.41 % Total memory used: 80.457 MB
% 0.12/0.41 % Net memory used: 79.985 MB
%------------------------------------------------------------------------------