%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV925-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 03:14:31 PM UTC 2026
% Result : Unsatisfiable 90.19s 12.01s
% Output : Proof 90.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 34 unt; 0 def)
% Number of atoms : 44 ( 33 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-5 aty)
% Number of variables : 128 ( 29 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f594,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f594_nnf,plain,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(nnf_transformation,[status(thm)],[f594]) ).
cnf(c594,plain,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(cnf_transformation,[status(esa)],[f594_nnf]) ).
cnf(f204,axiom,
( c_Map_Omap__upds(V_m,c_List_Oappend(V_xs,V_zs,T_a),V_ys,T_a,T_b) = c_Map_Omap__upds(V_m,V_xs,V_ys,T_a,T_b)
| c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upds__append__drop_0) ).
fof(f204_nnf,plain,
! [V_xs,T_a,V_ys,T_b,V_m,V_zs] :
( c_Map_Omap__upds(V_m,c_List_Oappend(V_xs,V_zs,T_a),V_ys,T_a,T_b) = c_Map_Omap__upds(V_m,V_xs,V_ys,T_a,T_b)
| c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) ),
inference(nnf_transformation,[status(thm)],[f204]) ).
fof(f204_sk,plain,
! [V_xs,T_a,V_ys,T_b,V_m,V_zs] :
( c_Map_Omap__upds(V_m,c_List_Oappend(V_xs,V_zs,T_a),V_ys,T_a,T_b) = c_Map_Omap__upds(V_m,V_xs,V_ys,T_a,T_b)
| c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) ),
inference(skolemisation,[status(esa)],[f204_nnf]) ).
cnf(c204,plain,
( c_Map_Omap__upds(X4,c_List_Oappend(X0,X5,X1),X2,X1,X3) = c_Map_Omap__upds(X4,X0,X2,X1,X3)
| c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)) ),
inference(cnf_transformation,[status(esa)],[f204_sk]) ).
cnf(p729,plain,
( c_Map_Omap__upds(X2,c_List_Oappend(X0,X3,X1),c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),X1,tc_Value_Oval) = c_Map_Omap__upds(X2,X0,c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),X1,tc_Value_Oval)
| c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(superposition,[status(thm)],[c594,c204]) ).
cnf(f574,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__0__conv_1) ).
fof(f574_nnf,plain,
! [T_a] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(nnf_transformation,[status(thm)],[f574]) ).
fof(f574_sk,plain,
! [T_a] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(skolemisation,[status(esa)],[f574_nnf]) ).
cnf(c574,plain,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[status(esa)],[f574_sk]) ).
cnf(p735,plain,
c_Map_Omap__upds(X0,X1,c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),X2,tc_Value_Oval) = X0,
inference(resolution,[status(thm)],[p729,c574]) ).
cnf(f383,axiom,
c_Map_Omap__upds(V_m,c_List_Olist_OCons(V_a,V_as,T_a),c_List_Olist_OCons(V_b,V_bs,T_b),T_a,T_b) = c_Map_Omap__upds(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_b),V_b),T_a,tc_Option_Ooption(T_b)),V_as,V_bs,T_a,T_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upds__Cons_0) ).
fof(f383_nnf,plain,
! [V_m,V_a,V_as,T_a,V_b,V_bs,T_b] : c_Map_Omap__upds(V_m,c_List_Olist_OCons(V_a,V_as,T_a),c_List_Olist_OCons(V_b,V_bs,T_b),T_a,T_b) = c_Map_Omap__upds(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_b),V_b),T_a,tc_Option_Ooption(T_b)),V_as,V_bs,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f383]) ).
fof(f383_sk,plain,
! [V_m,V_a,V_as,T_a,V_b,V_bs,T_b] : c_Map_Omap__upds(V_m,c_List_Olist_OCons(V_a,V_as,T_a),c_List_Olist_OCons(V_b,V_bs,T_b),T_a,T_b) = c_Map_Omap__upds(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_b),V_b),T_a,tc_Option_Ooption(T_b)),V_as,V_bs,T_a,T_b),
inference(skolemisation,[status(esa)],[f383_nnf]) ).
cnf(c383,plain,
c_Map_Omap__upds(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X6),X3,X6) = c_Map_Omap__upds(c_Fun_Ofun__upd(X0,X1,hAPP(c_Option_Ooption_OSome(X6),X4),X3,tc_Option_Ooption(X6)),X2,X5,X3,X6),
inference(cnf_transformation,[status(esa)],[f383_sk]) ).
cnf(p1161,plain,
X0 = c_Map_Omap__upds(c_Fun_Ofun__upd(X0,X1,hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_aj),X2,tc_Option_Ooption(tc_Value_Oval)),X3,v_ak,X2,tc_Value_Oval),
inference(superposition,[status(thm)],[p735,c383]) ).
cnf(f379,axiom,
c_Map_Omap__upds(V_m,c_List_Olist_ONil(T_a),V_bs,T_a,T_b) = V_m,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upds__Nil1_0) ).
fof(f379_nnf,plain,
! [V_m,T_a,V_bs,T_b] : c_Map_Omap__upds(V_m,c_List_Olist_ONil(T_a),V_bs,T_a,T_b) = V_m,
inference(nnf_transformation,[status(thm)],[f379]) ).
fof(f379_sk,plain,
! [V_m,T_a,V_bs,T_b] : c_Map_Omap__upds(V_m,c_List_Olist_ONil(T_a),V_bs,T_a,T_b) = V_m,
inference(skolemisation,[status(esa)],[f379_nnf]) ).
cnf(c379,plain,
c_Map_Omap__upds(X0,c_List_Olist_ONil(X1),X2,X1,X3) = X0,
inference(cnf_transformation,[status(esa)],[f379_sk]) ).
cnf(p1169,plain,
X0 = c_Fun_Ofun__upd(X0,X1,hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_aj),X2,tc_Option_Ooption(tc_Value_Oval)),
inference(superposition,[status(thm)],[p1161,c379]) ).
cnf(f258,axiom,
hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__same_0) ).
fof(f258_nnf,plain,
! [V_f,V_x,V_y,T_b,T_a] : hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y,
inference(nnf_transformation,[status(thm)],[f258]) ).
fof(f258_sk,plain,
! [V_f,V_x,V_y,T_b,T_a] : hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y,
inference(skolemisation,[status(esa)],[f258_nnf]) ).
cnf(c258,plain,
hAPP(c_Fun_Ofun__upd(X0,X1,X2,X3,X4),X1) = X2,
inference(cnf_transformation,[status(esa)],[f258_sk]) ).
cnf(p1181,plain,
hAPP(X0,X1) = hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_aj),
inference(superposition,[status(thm)],[p1169,c258]) ).
cnf(f397,axiom,
hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f397_nnf,plain,
! [V_x,V_A,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
inference(nnf_transformation,[status(thm)],[f397]) ).
fof(f397_sk,plain,
! [V_x,V_A,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
inference(skolemisation,[status(esa)],[f397_nnf]) ).
cnf(c397,plain,
hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
inference(cnf_transformation,[status(esa)],[f397_sk]) ).
cnf(p1203,plain,
hBOOL(hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_aj)),
inference(demodulation,[status(thm)],[p1181,c397]) ).
cnf(f217,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f217_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)],[f217]) ).
fof(f217_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)],[f217_nnf]) ).
cnf(c217,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
inference(cnf_transformation,[status(esa)],[f217_sk]) ).
cnf(p1194,plain,
~ hBOOL(hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_aj)),
inference(demodulation,[status(thm)],[p1181,c217]) ).
cnf(p1587,plain,
$false,
inference(resolution,[status(thm)],[p1203,p1194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV925-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 21:21:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 90.19/12.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.19/12.01 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------