%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SCT029-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : Tue May 5 05:05:52 PM UTC 2026
% Result : Satisfiable 1.19s 1.72s
% Output : Saturation 1.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_dictator__def_1,axiom,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X1,X2),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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dictator__def_1) ).
cnf(cls_unanimity__def_1,axiom,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unanimity__def_1) ).
cnf(cls_IIA__def_5,axiom,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IIA__def_5) ).
cnf(cls_IIA__def_4,axiom,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IIA__def_4) ).
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_dictator__def_0,axiom,
( hAPP(X1,X2) = hAPP(X2,X3)
| ~ c_in(X2,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(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dictator__def_0) ).
cnf(cls_dictator__def_2,axiom,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hAPP(X1,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X1,X2)) != hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dictator__def_2) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_Arrow__Order__Mirabelle_Odictator(v_F,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
c_fequal(X1,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_u_0,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_u_0) ).
cnf(cls_assms_I3_J_0,axiom,
c_Arrow__Order__Mirabelle_OIIA(v_F),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_assms_I3_J_0) ).
cnf(c_0_13,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0,
[final] ).
cnf(c_0_14,axiom,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X1,X2),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))) ),
cls_dictator__def_1 ).
cnf(c_0_15,axiom,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(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))) ),
cls_unanimity__def_1 ).
cnf(c_0_16,axiom,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(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))) ),
cls_IIA__def_5 ).
cnf(c_0_17,axiom,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(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))) ),
cls_IIA__def_4 ).
cnf(c_0_18,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1,
[final] ).
cnf(c_0_19,plain,
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X1,X2)))
| c_Arrow__Order__Mirabelle_Odictator(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]),
[final] ).
cnf(c_0_20,plain,
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(X1)))
| c_Arrow__Order__Mirabelle_Ounanimity(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_15]),
[final] ).
cnf(c_0_21,plain,
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_sko__Arrow__Order__Mirabelle__XIIA__def__3(X1)))
| c_Arrow__Order__Mirabelle_OIIA(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_16]),
[final] ).
cnf(c_0_22,plain,
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_sko__Arrow__Order__Mirabelle__XIIA__def__2(X1)))
| c_Arrow__Order__Mirabelle_OIIA(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]),
[final] ).
cnf(c_0_23,axiom,
( hAPP(X1,X2) = hAPP(X2,X3)
| ~ c_in(X2,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(X1,X3) ),
cls_dictator__def_0,
[final] ).
cnf(c_0_24,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X1,X2),c_Arrow__Order__Mirabelle_OProf,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]),
[final] ).
cnf(c_0_25,plain,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(X1),c_Arrow__Order__Mirabelle_OProf,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_20]),
[final] ).
cnf(c_0_26,plain,
( c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(X1),c_Arrow__Order__Mirabelle_OProf,X2)
| c_Arrow__Order__Mirabelle_OIIA(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_21]),
[final] ).
cnf(c_0_27,plain,
( c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(X1),c_Arrow__Order__Mirabelle_OProf,X2)
| c_Arrow__Order__Mirabelle_OIIA(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_22]),
[final] ).
cnf(c_0_28,plain,
( hAPP(X1,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X2,X3)) = hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X2,X3),X4)
| c_Arrow__Order__Mirabelle_Odictator(X2,X3)
| ~ c_Arrow__Order__Mirabelle_Odictator(X1,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]),
[final] ).
cnf(c_0_29,plain,
( hAPP(X1,v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(X2)) = hAPP(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(X2),X3)
| c_Arrow__Order__Mirabelle_Ounanimity(X2)
| ~ c_Arrow__Order__Mirabelle_Odictator(X1,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_25]),
[final] ).
cnf(c_0_30,plain,
( hAPP(X1,v_sko__Arrow__Order__Mirabelle__XIIA__def__3(X2)) = hAPP(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(X2),X3)
| c_Arrow__Order__Mirabelle_OIIA(X2)
| ~ c_Arrow__Order__Mirabelle_Odictator(X1,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_26]),
[final] ).
cnf(c_0_31,plain,
( hAPP(X1,v_sko__Arrow__Order__Mirabelle__XIIA__def__2(X2)) = hAPP(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(X2),X3)
| c_Arrow__Order__Mirabelle_OIIA(X2)
| ~ c_Arrow__Order__Mirabelle_Odictator(X1,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_27]),
[final] ).
cnf(c_0_32,axiom,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hAPP(X1,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X1,X2)) != hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(X1,X2),X2) ),
cls_dictator__def_2,
[final] ).
cnf(c_0_33,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(c_0_34,negated_conjecture,
~ c_Arrow__Order__Mirabelle_Odictator(v_F,X1),
cls_conjecture_0,
[final] ).
cnf(c_0_35,axiom,
c_fequal(X1,X1,X2),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(c_0_36,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
cls_u_0,
[final] ).
cnf(c_0_37,axiom,
c_Arrow__Order__Mirabelle_OIIA(v_F),
cls_assms_I3_J_0,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SCT029-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n029.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 01:53:44 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 1.19/1.72 % Version : CSE_E---1.7
% 1.19/1.72 % Problem : theBenchmark.p
% 1.19/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.19/1.72 % SZS output start Saturation
% See solution above
% 1.19/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------