%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV839-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n007.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 : Fri Sep 25 03:14:10 PM UTC 2026
% Result : Unsatisfiable 25.74s 3.73s
% Output : Proof 25.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 38
% Syntax : Number of formulae : 159 ( 67 unt; 0 def)
% Number of atoms : 311 ( 59 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 449 ( 297 ~; 152 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-4 aty)
% Number of variables : 392 ( 48 sgn 190 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f447,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
fof(f447_nnf,plain,
class_Orderings_Oorder(tc_bool),
inference(nnf_transformation,[status(thm)],[f447]) ).
cnf(c447,plain,
class_Orderings_Oorder(tc_bool),
inference(cnf_transformation,[status(esa)],[f447_nnf]) ).
cnf(t0,plain,
class_Orderings_Oorder(tc_bool) = true,
inference(equality_encoding,[status(esa)],[c447]) ).
cnf(t1024,plain,
class_Orderings_Oorder(tc_bool) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f385,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__derivs_OSkip_0) ).
fof(f385_nnf,plain,
! [V_G,V_P,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a),
inference(nnf_transformation,[status(thm)],[f385]) ).
fof(f385_sk,plain,
! [V_G,V_P,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a),
inference(skolemisation,[status(esa)],[f385_nnf]) ).
cnf(c385,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Com_Ocom_OSKIP,X1,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2),
inference(cnf_transformation,[status(esa)],[f385_sk]) ).
cnf(t70,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OSKIP,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3) = true,
inference(equality_encoding,[status(esa)],[c385]) ).
cnf(t1039,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OSKIP,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3) = true,
inference(orient,[status(thm)],[t70]) ).
cnf(t8,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t186,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t8]) ).
cnf(f2,axiom,
( ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
| ~ class_HOL_Oord(T_b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_1) ).
fof(f2_nnf,plain,
! [T_b,T_a,V_g,V_f] :
( ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
| ~ class_HOL_Oord(T_b) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [T_b,T_a,V_g,V_f] :
( ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
| ~ class_HOL_Oord(T_b) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X1,X0))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,X0)),X2),X3))
| ~ class_HOL_Oord(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(f24,axiom,
~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__psubset__empty_0) ).
fof(f24_nnf,plain,
! [V_A,T_a] : ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [V_A,T_a] : ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
~ c_HOL_Oord__class_Oless(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(f25,axiom,
( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
| ~ class_Orderings_Opreorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
fof(f25_nnf,plain,
! [T_a,V_y,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
| ~ class_Orderings_Opreorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [T_a,V_y,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
| ~ class_Orderings_Opreorder(T_a) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
| ~ class_Orderings_Opreorder(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(f27,axiom,
( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
| ~ class_Orderings_Olinorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
fof(f27_nnf,plain,
! [T_a,V_x,V_y] :
( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
| ~ class_Orderings_Olinorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [T_a,V_x,V_y] :
( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
| ~ class_Orderings_Olinorder(T_a) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(f29,axiom,
( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
| ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
fof(f29_nnf,plain,
! [T_a,V_x,V_y] :
( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
| ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [T_a,V_x,V_y] :
( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
| ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(f31,axiom,
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
| ~ class_Orderings_Olinorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).
fof(f31_nnf,plain,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
| ~ class_Orderings_Olinorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
| ~ class_Orderings_Olinorder(T_a) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X0)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(f65,axiom,
( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
| c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_greaterThanAtMost__empty__iff_0) ).
fof(f65_nnf,plain,
! [T_a,V_k,V_l] :
( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
| c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| ~ class_Orderings_Oorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f65]) ).
fof(f65_sk,plain,
! [T_a,V_k,V_l] :
( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
| c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| ~ class_Orderings_Oorder(T_a) ),
inference(skolemisation,[status(esa)],[f65_nnf]) ).
cnf(c65,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X0) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(f76,axiom,
~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_1) ).
fof(f76_nnf,plain,
! [V_x,T_a] : ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)),
inference(nnf_transformation,[status(thm)],[f76]) ).
fof(f76_sk,plain,
! [V_x,T_a] : ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)),
inference(skolemisation,[status(esa)],[f76_nnf]) ).
cnf(c76,plain,
~ c_HOL_Oord__class_Oless(X0,X0,tc_fun(X1,tc_bool)),
inference(cnf_transformation,[status(esa)],[f76_sk]) ).
cnf(f77,axiom,
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_1) ).
fof(f77_nnf,plain,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f77]) ).
fof(f77_sk,plain,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(skolemisation,[status(esa)],[f77_nnf]) ).
cnf(c77,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f77_sk]) ).
cnf(f78,axiom,
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
fof(f78_nnf,plain,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f78]) ).
fof(f78_sk,plain,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
inference(skolemisation,[status(esa)],[f78_nnf]) ).
cnf(c78,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(esa)],[f78_sk]) ).
cnf(f79,axiom,
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
fof(f79_nnf,plain,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f79]) ).
fof(f79_sk,plain,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
inference(skolemisation,[status(esa)],[f79_nnf]) ).
cnf(c79,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X0)
| ~ class_Orderings_Opreorder(X0) ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(f88,axiom,
( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_greaterThanAtMost__empty__iff2_0) ).
fof(f88_nnf,plain,
! [T_a,V_k,V_l] :
( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f88]) ).
fof(f88_sk,plain,
! [T_a,V_k,V_l] :
( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(skolemisation,[status(esa)],[f88_nnf]) ).
cnf(c88,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f88_sk]) ).
cnf(f91,axiom,
( ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
fof(f91_nnf,plain,
! [T_a,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f91]) ).
fof(f91_sk,plain,
! [T_a,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(skolemisation,[status(esa)],[f91_nnf]) ).
cnf(c91,plain,
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f91_sk]) ).
cnf(f92,axiom,
( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
fof(f92_nnf,plain,
! [T_a,V_x,V_y] :
( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f92]) ).
fof(f92_sk,plain,
! [T_a,V_x,V_y] :
( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
inference(skolemisation,[status(esa)],[f92_nnf]) ).
cnf(c92,plain,
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(esa)],[f92_sk]) ).
cnf(f93,axiom,
( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_0) ).
fof(f93_nnf,plain,
! [T_a,V_y,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
! [T_a,V_y,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
inference(skolemisation,[status(esa)],[f93_nnf]) ).
cnf(c93,plain,
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Opreorder(X0) ),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(f94,axiom,
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
fof(f94_nnf,plain,
! [T_a,V_b,V_a] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f94]) ).
fof(f94_sk,plain,
! [T_a,V_b,V_a] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
| ~ class_Orderings_Opreorder(T_a) ),
inference(skolemisation,[status(esa)],[f94_nnf]) ).
cnf(c94,plain,
( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ class_Orderings_Opreorder(X0) ),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(f115,axiom,
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastLessThan__empty__iff2_0) ).
fof(f115_nnf,plain,
! [T_a,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f115]) ).
fof(f115_sk,plain,
! [T_a,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(skolemisation,[status(esa)],[f115_nnf]) ).
cnf(c115,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f115_sk]) ).
cnf(f117,axiom,
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastLessThan__empty__iff_0) ).
fof(f117_nnf,plain,
! [T_a,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| ~ class_Orderings_Oorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f117]) ).
fof(f117_sk,plain,
! [T_a,V_a,V_b] :
( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
| c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| ~ class_Orderings_Oorder(T_a) ),
inference(skolemisation,[status(esa)],[f117_nnf]) ).
cnf(c117,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X0) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f117_sk]) ).
cnf(f153,axiom,
( ~ hBOOL(hAPP(V_P,V_x))
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Collect__eq_0) ).
fof(f153_nnf,plain,
! [T_a,V_P,V_x] :
( ~ hBOOL(hAPP(V_P,V_x))
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) ),
inference(nnf_transformation,[status(thm)],[f153]) ).
fof(f153_sk,plain,
! [T_a,V_P,V_x] :
( ~ hBOOL(hAPP(V_P,V_x))
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) ),
inference(skolemisation,[status(esa)],[f153_nnf]) ).
cnf(c153,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_Collect(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f153_sk]) ).
cnf(f154,axiom,
~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
fof(f154_nnf,plain,
! [V_x,T_a] : ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
inference(nnf_transformation,[status(thm)],[f154]) ).
fof(f154_sk,plain,
! [V_x,T_a] : ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
inference(skolemisation,[status(esa)],[f154_nnf]) ).
cnf(c154,plain,
~ hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
inference(cnf_transformation,[status(esa)],[f154_sk]) ).
cnf(f156,axiom,
~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__iff_0) ).
fof(f156_nnf,plain,
! [V_c,T_a] : ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
inference(nnf_transformation,[status(thm)],[f156]) ).
fof(f156_sk,plain,
! [V_c,T_a] : ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
inference(skolemisation,[status(esa)],[f156_nnf]) ).
cnf(c156,plain,
~ hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
inference(cnf_transformation,[status(esa)],[f156_sk]) ).
cnf(f157,axiom,
~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
fof(f157_nnf,plain,
! [V_a,T_a] : ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
inference(nnf_transformation,[status(thm)],[f157]) ).
fof(f157_sk,plain,
! [V_a,T_a] : ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
inference(skolemisation,[status(esa)],[f157_nnf]) ).
cnf(c157,plain,
~ hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
inference(cnf_transformation,[status(esa)],[f157_sk]) ).
cnf(f158,axiom,
( ~ hBOOL(hAPP(V_P,V_x))
| c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__empty__eq_0) ).
fof(f158_nnf,plain,
! [V_P,T_a,V_x] :
( ~ hBOOL(hAPP(V_P,V_x))
| c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(nnf_transformation,[status(thm)],[f158]) ).
fof(f158_sk,plain,
! [V_P,T_a,V_x] :
( ~ hBOOL(hAPP(V_P,V_x))
| c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(skolemisation,[status(esa)],[f158_nnf]) ).
cnf(c158,plain,
( ~ hBOOL(hAPP(X0,X2))
| c_Collect(X0,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
inference(cnf_transformation,[status(esa)],[f158_sk]) ).
cnf(f159,axiom,
~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__fold1SetE_0) ).
fof(f159_nnf,plain,
! [V_f,T_a,V_x] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)),
inference(nnf_transformation,[status(thm)],[f159]) ).
fof(f159_sk,plain,
! [V_f,T_a,V_x] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)),
inference(skolemisation,[status(esa)],[f159_nnf]) ).
cnf(c159,plain,
~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X2)),
inference(cnf_transformation,[status(esa)],[f159_sk]) ).
cnf(f165,axiom,
( ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))
| ~ hBOOL(hAPP(V_P,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__empty_0) ).
fof(f165_nnf,plain,
! [V_P,V_x,T_a] :
( ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))
| ~ hBOOL(hAPP(V_P,V_x)) ),
inference(nnf_transformation,[status(thm)],[f165]) ).
fof(f165_sk,plain,
! [V_P,V_x,T_a] :
( ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))
| ~ hBOOL(hAPP(V_P,V_x)) ),
inference(skolemisation,[status(esa)],[f165_nnf]) ).
cnf(c165,plain,
( ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f165_sk]) ).
cnf(f203,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).
fof(f203_nnf,plain,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
inference(nnf_transformation,[status(thm)],[f203]) ).
fof(f203_sk,plain,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
inference(skolemisation,[status(esa)],[f203_nnf]) ).
cnf(c203,plain,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X0,X1),
inference(cnf_transformation,[status(esa)],[f203_sk]) ).
cnf(f204,axiom,
c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).
fof(f204_nnf,plain,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
inference(nnf_transformation,[status(thm)],[f204]) ).
fof(f204_sk,plain,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
inference(skolemisation,[status(esa)],[f204_nnf]) ).
cnf(c204,plain,
c_Com_Ocom_OSemi(X0,X1) != c_Com_Ocom_OSKIP,
inference(cnf_transformation,[status(esa)],[f204_sk]) ).
cnf(f208,axiom,
( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
| c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff_0) ).
fof(f208_nnf,plain,
! [T_a,V_a,V_b] :
( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
| c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| ~ class_Orderings_Oorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f208]) ).
fof(f208_sk,plain,
! [T_a,V_a,V_b] :
( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
| c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| ~ class_Orderings_Oorder(T_a) ),
inference(skolemisation,[status(esa)],[f208_nnf]) ).
cnf(c208,plain,
( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X0) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f208_sk]) ).
cnf(f210,axiom,
( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff2_0) ).
fof(f210_nnf,plain,
! [T_a,V_a,V_b] :
( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f210]) ).
fof(f210_sk,plain,
! [T_a,V_a,V_b] :
( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(skolemisation,[status(esa)],[f210_nnf]) ).
cnf(c210,plain,
( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f210_sk]) ).
cnf(f284,axiom,
( ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
| ~ hBOOL(c_in(V_c,V_A,T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplD_0) ).
fof(f284_nnf,plain,
! [V_c,V_A,T_a] :
( ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
| ~ hBOOL(c_in(V_c,V_A,T_a)) ),
inference(nnf_transformation,[status(thm)],[f284]) ).
fof(f284_sk,plain,
! [V_c,V_A,T_a] :
( ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
| ~ hBOOL(c_in(V_c,V_A,T_a)) ),
inference(skolemisation,[status(esa)],[f284_nnf]) ).
cnf(c284,plain,
( ~ hBOOL(c_in(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2))
| ~ hBOOL(c_in(X0,X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f284_sk]) ).
cnf(f293,axiom,
( ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
| ~ hBOOL(c_in(V_c,V_B,T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_1) ).
fof(f293_nnf,plain,
! [V_c,V_B,T_a,V_A] :
( ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
| ~ hBOOL(c_in(V_c,V_B,T_a)) ),
inference(nnf_transformation,[status(thm)],[f293]) ).
fof(f293_sk,plain,
! [V_c,V_B,T_a,V_A] :
( ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
| ~ hBOOL(c_in(V_c,V_B,T_a)) ),
inference(skolemisation,[status(esa)],[f293_nnf]) ).
cnf(c293,plain,
( ~ hBOOL(c_in(X0,c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2))
| ~ hBOOL(c_in(X0,X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f293_sk]) ).
cnf(f387,axiom,
c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
fof(f387_nnf,plain,
! [T_a,V_a,V_A] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a),
inference(nnf_transformation,[status(thm)],[f387]) ).
fof(f387_sk,plain,
! [T_a,V_a,V_A] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a),
inference(skolemisation,[status(esa)],[f387_nnf]) ).
cnf(c387,plain,
c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_Set_Oinsert(X1,X2,X0),
inference(cnf_transformation,[status(esa)],[f387_sk]) ).
cnf(f402,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f402_nnf,plain,
! [T_a,V_x] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
inference(nnf_transformation,[status(thm)],[f402]) ).
fof(f402_sk,plain,
! [T_a,V_x] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
inference(skolemisation,[status(esa)],[f402_nnf]) ).
cnf(c402,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
inference(cnf_transformation,[status(esa)],[f402_sk]) ).
cnf(f407,axiom,
c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
fof(f407_nnf,plain,
! [V_a,V_A,T_a] : c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
inference(nnf_transformation,[status(thm)],[f407]) ).
fof(f407_sk,plain,
! [V_a,V_A,T_a] : c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
inference(skolemisation,[status(esa)],[f407_nnf]) ).
cnf(c407,plain,
c_Set_Oinsert(X0,X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(esa)],[f407_sk]) ).
cnf(f419,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f419_nnf,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(nnf_transformation,[status(thm)],[f419]) ).
fof(f419_sk,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(skolemisation,[status(esa)],[f419_nnf]) ).
cnf(c419,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(cnf_transformation,[status(esa)],[f419_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c24,c25,c27,c29,c31,c65,c76,c77,c78,c79,c88,c91,c92,c93,c94,c115,c117,c153,c154,c156,c157,c158,c159,c165,c203,c204,c208,c210,c284,c293,c387,c402,c407,c419]) ).
cnf(g0_0,plain,
true != ifeq(c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),true,false,true),
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
true != ifeq(c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),true,false,class_Orderings_Oorder(tc_bool)),
inference(rw,[status(thm)],[g0_0,t1024]) ).
cnf(g0_2,plain,
true != ifeq(true,true,false,class_Orderings_Oorder(tc_bool)),
inference(rw,[status(thm)],[g0_1,t1039]) ).
cnf(g0_3,plain,
true != false,
inference(rw,[status(thm)],[g0_2,t186]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV839-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 21:06:23 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 25.74/3.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.74/3.73 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------