TSTP Solution File: COL099-2 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : COL099-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n005.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 : Mon Mar 25 14:01:40 EDT 2024
% Result : Unsatisfiable 22.90s 23.10s
% Output : Proof 22.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL099-2 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.33 % Computer : n005.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Thu Mar 21 00:14:15 EDT 2024
% 0.14/0.33 % CPUTime :
% 22.90/23.10 % SZS status Unsatisfiable for theBenchmark
% 22.90/23.10 % SZS output start Proof for theBenchmark
% 22.90/23.10
% 22.90/23.10 % Problem matrix:
% 22.90/23.10 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 22.90/23.10 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 22.90/23.10 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 22.90/23.10 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cons(__eqx_0, __eqx_1) = cons(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( succ(__eqx_0) = succ(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( inr(__eqx_0) = inr(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( inl(__eqx_0) = inl(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( disjsum(__eqx_0, __eqx_1) = disjsum(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( cons_subsetI_sk1(__eqx_0, __eqx_1, __eqx_2) = cons_subsetI_sk1(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( pair(__eqx_0, __eqx_1) = pair(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( converse(__eqx_0) = converse(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( diff(__eqx_0, __eqx_1) = diff(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( int(__eqx_0, __eqx_1) = int(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( un(__eqx_0, __eqx_1) = un(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( powI_sk1(__eqx_0, __eqx_1) = powI_sk1(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( pow(__eqx_0) = pow(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( interI_sk1(__eqx_0, __eqx_1) = interI_sk1(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( inter(__eqx_0) = inter(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( card_Union_sk1(__eqx_0) = card_Union_sk1(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( union(__eqx_0) = union(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( fin(__eqx_0) = fin(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( order_Inter_sk1(__eqx_0) = order_Inter_sk1(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( order_Union_sk1(__eqx_0) = order_Union_sk1(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( comp(__eqx_0, __eqx_1) = comp(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( vimage(__eqx_0, __eqx_1) = vimage(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image(__eqx_0, __eqx_1) = image(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( qInr(__eqx_0) = qInr(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( qInl(__eqx_0) = qInl(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( qsum(__eqx_0, __eqx_1) = qsum(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( qsumE_sk1(__eqx_0, __eqx_1, __eqx_2) = qsumE_sk1(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( qsumE_sk2(__eqx_0, __eqx_1, __eqx_2) = qsumE_sk2(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( qconverse(__eqx_0) = qconverse(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( qconverseE_sk2(__eqx_0, __eqx_1) = qconverseE_sk2(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( qconverseE_sk1(__eqx_0, __eqx_1) = qconverseE_sk1(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( qPair(__eqx_0, __eqx_1) = qPair(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( rmult(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = rmult(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 22.90/23.10 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( radd(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = radd(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 22.90/23.10 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( memrel(__eqx_0) = memrel(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( compE_sk1(__eqx_0, __eqx_1, __eqx_2) = compE_sk1(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( compE_sk3(__eqx_0, __eqx_1, __eqx_2) = compE_sk3(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( compE_sk2(__eqx_0, __eqx_1, __eqx_2) = compE_sk2(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( id(__eqx_0) = id(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( idE_sk1(__eqx_0, __eqx_1) = idE_sk1(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( sumE_sk1(__eqx_0, __eqx_1, __eqx_2) = sumE_sk1(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( sumE_sk2(__eqx_0, __eqx_1, __eqx_2) = sumE_sk2(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( vimageE_sk1(__eqx_0, __eqx_1, __eqx_2) = vimageE_sk1(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( imageE_sk1(__eqx_0, __eqx_1, __eqx_2) = imageE_sk1(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( field(__eqx_0) = field(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( fieldE_sk1(__eqx_0, __eqx_1) = fieldE_sk1(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( fieldE_sk2(__eqx_0, __eqx_1) = fieldE_sk2(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( range(__eqx_0) = range(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( rangeE_sk1(__eqx_0, __eqx_1) = rangeE_sk1(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( domain(__eqx_0) = domain(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( domainE_sk1(__eqx_0, __eqx_1) = domainE_sk1(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( cons_subsetE_sk1(__eqx_0, __eqx_1, __eqx_2) = cons_subsetE_sk1(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( converseE_sk2(__eqx_0, __eqx_1) = converseE_sk2(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( converseE_sk1(__eqx_0, __eqx_1) = converseE_sk1(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unionE_sk1(__eqx_0, __eqx_1) = unionE_sk1(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( subsetD_sk1(__eqx_0, __eqx_1, __eqx_2) = subsetD_sk1(__eqy_0, __eqy_1, __eqy_2)) )).
% 22.90/23.10 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( subsetI_sk1(__eqx_0, __eqx_1) = subsetI_sk1(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( comb_app(__eqx_0, __eqx_1) = comb_app(__eqy_0, __eqy_1)) )).
% 22.90/23.10 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( trancl(__eqx_0) = trancl(__eqy_0)) )).
% 22.90/23.10 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( diamond_strip_lemmaD_sk1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = diamond_strip_lemmaD_sk1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 22.90/23.10 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 22.90/23.10 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 22.90/23.10 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ~card(__eqx_0) | card(__eqy_0) )).
% 22.90/23.10 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ~ord(__eqx_0) | ord(__eqy_0) )).
% 22.90/23.10 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ~rmultE_c1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) | rmultE_c1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7) )).
% 22.90/23.10 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ~rmultE_c2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) | rmultE_c2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7) )).
% 22.90/23.10 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~le(__eqx_0, __eqx_1) | le(__eqy_0, __eqy_1) )).
% 22.90/23.10 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~lt(__eqx_0, __eqx_1) | lt(__eqy_0, __eqy_1) )).
% 22.90/23.10 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ~trans(__eqx_0) | trans(__eqy_0) )).
% 22.90/23.10 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ~diamond(__eqx_0) | diamond(__eqy_0) )).
% 22.90/23.10 cnf(matrix-73, plain, ( member(U, cons(U, V)) )).
% 22.90/23.10 cnf(matrix-74, plain, ( ~member(U, V) | member(U, cons(W, V)) )).
% 22.90/23.10 cnf(matrix-75, plain, ( ~member(U, nat) | member(succ(U), nat) )).
% 22.90/23.10 cnf(matrix-76, plain, ( ( U != V) | ( inr(U) = inr(V)) )).
% 22.90/23.10 cnf(matrix-77, plain, ( ( U != V) | ( inl(U) = inl(V)) )).
% 22.90/23.10 cnf(matrix-78, plain, ( ~member(U, V) | member(inl(U), disjsum(V, W)) )).
% 22.90/23.10 cnf(matrix-79, plain, ( ~member(U, V) | member(inr(U), disjsum(W, V)) )).
% 22.90/23.10 cnf(matrix-80, plain, ( ~member(U, V) | ~member(W, cons(U, X)) | member(cons_subsetI_sk1(U, X, V), X) | member(W, V) )).
% 22.90/23.10 cnf(matrix-81, plain, ( ~member(U, V) | ~member(cons_subsetI_sk1(U, W, V), V) | ~member(X, cons(U, W)) | member(X, V) )).
% 22.90/23.10 cnf(matrix-82, plain, ( ~member(A, C) | ~subset(B, C) | subset(cons(A, B), C) )).
% 22.90/23.10 cnf(matrix-83, plain, ( ~member(pair(U, V), W) | member(pair(V, U), converse(W)) )).
% 22.90/23.10 cnf(matrix-84, plain, ( ( U != V) | ( cons(U, eptset) = cons(V, eptset)) )).
% 22.90/23.10 cnf(matrix-85, plain, ( ~member(U, V) | member(U, succ(V)) )).
% 22.90/23.10 cnf(matrix-86, plain, ( ( U != V) | member(U, succ(V)) )).
% 22.90/23.10 cnf(matrix-87, plain, ( member(U, cons(U, eptset)) )).
% 22.90/23.10 cnf(matrix-88, plain, ( ~member(U, V) | member(U, cons(W, V)) )).
% 22.90/23.10 cnf(matrix-89, plain, ( ( U != V) | member(U, cons(V, W)) )).
% 22.90/23.10 cnf(matrix-90, plain, ( ~member(U, V) | member(U, W) | member(U, diff(V, W)) )).
% 22.90/23.10 cnf(matrix-91, plain, ( ~member(U, V) | ~member(U, W) | member(U, int(V, W)) )).
% 22.90/23.10 cnf(matrix-92, plain, ( ~member(U, V) | member(U, un(W, V)) )).
% 22.90/23.10 cnf(matrix-93, plain, ( ~member(U, V) | member(U, un(V, W)) )).
% 22.90/23.10 cnf(matrix-94, plain, ( member(powI_sk1(U, V), U) | member(U, pow(V)) )).
% 22.90/23.10 cnf(matrix-95, plain, ( ~member(powI_sk1(U, V), V) | member(U, pow(V)) )).
% 22.90/23.10 cnf(matrix-96, plain, ( ~member(U, V) | member(interI_sk1(W, V), V) | member(W, inter(V)) )).
% 22.90/23.10 cnf(matrix-97, plain, ( ~member(U, interI_sk1(U, V)) | ~member(W, V) | member(U, inter(V)) )).
% 22.90/23.10 cnf(matrix-98, plain, ( member(card_Union_sk1(U), U) | card(union(U)) )).
% 22.90/23.10 cnf(matrix-99, plain, ( ~card(card_Union_sk1(U)) | card(union(U)) )).
% 22.90/23.10 cnf(matrix-100, plain, ( ~member(U, fin(V)) | member(int(U, W), fin(V)) )).
% 22.90/23.10 cnf(matrix-101, plain, ( ~member(U, fin(V)) | member(int(W, U), fin(V)) )).
% 22.90/23.10 cnf(matrix-102, plain, ( member(order_Inter_sk1(U), U) | ord(inter(U)) )).
% 22.90/23.10 cnf(matrix-103, plain, ( ~ord(order_Inter_sk1(U)) | ord(inter(U)) )).
% 22.90/23.10 cnf(matrix-104, plain, ( member(order_Union_sk1(U), U) | ord(union(U)) )).
% 22.90/23.10 cnf(matrix-105, plain, ( ~ord(order_Union_sk1(U)) | ord(union(U)) )).
% 22.90/23.10 cnf(matrix-106, plain, ( ~ord(U) | ~ord(V) | ord(un(U, V)) )).
% 22.90/23.10 cnf(matrix-107, plain, ( ~member(pair(U, V), W) | ~member(pair(V, X), Y) | member(pair(U, X), comp(Y, W)) )).
% 22.90/23.10 cnf(matrix-108, plain, ( ~member(pair(U, V), W) | ~member(V, X) | member(U, vimage(W, X)) )).
% 22.90/23.10 cnf(matrix-109, plain, ( ~member(pair(U, V), W) | ~member(U, X) | member(V, image(W, X)) )).
% 22.90/23.10 cnf(matrix-110, plain, ( ( qInr(U) != qInl(V)) )).
% 22.90/23.10 cnf(matrix-111, plain, ( ( qInl(U) != qInr(V)) )).
% 22.90/23.10 cnf(matrix-112, plain, ( ( qInr(U) != qInr(V)) | ( U = V) )).
% 22.90/23.10 cnf(matrix-113, plain, ( ( qInl(U) != qInl(V)) | ( U = V) )).
% 22.90/23.10 cnf(matrix-114, plain, ( ~member(U, qsum(V, W)) | member(qsumE_sk1(U, V, W), V) | member(qsumE_sk2(U, V, W), W) )).
% 22.90/23.10 cnf(matrix-115, plain, ( ~member(U, qsum(V, W)) | member(qsumE_sk1(U, V, W), V) | ( U = qInr(qsumE_sk2(U, V, W))) )).
% 22.90/23.10 cnf(matrix-116, plain, ( ~member(U, qsum(V, W)) | ( U = qInl(qsumE_sk1(U, V, W))) | member(qsumE_sk2(U, V, W), W) )).
% 22.90/23.10 cnf(matrix-117, plain, ( ~member(U, qsum(V, W)) | ( U = qInl(qsumE_sk1(U, V, W))) | ( U = qInr(qsumE_sk2(U, V, W))) )).
% 22.90/23.10 cnf(matrix-118, plain, ( ~member(U, qconverse(V)) | ( U = qPair(qconverseE_sk2(U, V), qconverseE_sk1(U, V))) )).
% 22.90/23.10 cnf(matrix-119, plain, ( ~member(U, qconverse(V)) | member(qPair(qconverseE_sk1(U, V), qconverseE_sk2(U, V)), V) )).
% 22.90/23.10 cnf(matrix-120, plain, ( ~member(qPair(U, V), qconverse(W)) | member(qPair(V, U), W) )).
% 22.90/23.10 cnf(matrix-121, plain, ( ( qPair(U, V) != qPair(W, X)) | ( U = W) )).
% 22.90/23.10 cnf(matrix-122, plain, ( ( qPair(U, V) != qPair(W, X)) | ( V = X) )).
% 22.90/23.10 cnf(matrix-123, plain, ( ~member(succ(U), nat) | member(U, nat) )).
% 22.90/23.10 cnf(matrix-124, plain, ( ~member(pair(pair(U, V), pair(W, X)), rmult(Y, Z, X1, X2)) | rmultE_c1(U, V, W, X, Y, Z, X1, X2) | rmultE_c2(U, V, W, X, Y, Z, X1, X2) )).
% 22.90/23.10 cnf(matrix-125, plain, ( ~rmultE_c1(U, V, W, X, Y, Z, X1, X2) | member(pair(U, W), Z) )).
% 22.90/23.10 cnf(matrix-126, plain, ( ~rmultE_c1(U, V, W, X, Y, Z, X1, X2) | member(U, Y) )).
% 22.90/23.10 cnf(matrix-127, plain, ( ~rmultE_c1(U, V, W, X, Y, Z, X1, X2) | member(W, Y) )).
% 22.90/23.10 cnf(matrix-128, plain, ( ~rmultE_c1(U, V, W, X, Y, Z, X1, X2) | member(V, X1) )).
% 22.90/23.10 cnf(matrix-129, plain, ( ~rmultE_c1(U, V, W, X, Y, Z, X1, X2) | member(X, X1) )).
% 22.90/23.10 cnf(matrix-130, plain, ( ~rmultE_c2(U, V, W, X, Y, Z, X1, X2) | member(pair(V, X), X2) )).
% 22.90/23.10 cnf(matrix-131, plain, ( ~rmultE_c2(U, V, W, X, Y, Z, X1, X2) | member(W, Y) )).
% 22.90/23.10 cnf(matrix-132, plain, ( ~rmultE_c2(U, V, W, X, Y, Z, X1, X2) | ( U = W) )).
% 22.90/23.10 cnf(matrix-133, plain, ( ~rmultE_c2(U, V, W, X, Y, Z, X1, X2) | member(V, X1) )).
% 22.90/23.10 cnf(matrix-134, plain, ( ~rmultE_c2(U, V, W, X, Y, Z, X1, X2) | member(X, X1) )).
% 22.90/23.10 cnf(matrix-135, plain, ( ~member(pair(inr(U), inl(V)), radd(W, X, Y, Z)) )).
% 22.90/23.10 cnf(matrix-136, plain, ( ~member(pair(inr(U), inr(V)), radd(W, X, Y, Z)) | member(U, Y) )).
% 22.90/23.10 cnf(matrix-137, plain, ( ~member(pair(inr(U), inr(V)), radd(W, X, Y, Z)) | member(V, Y) )).
% 22.90/23.10 cnf(matrix-138, plain, ( ~member(pair(inr(U), inr(V)), radd(W, X, Y, Z)) | member(pair(U, V), Z) )).
% 22.90/23.10 cnf(matrix-139, plain, ( ~member(pair(inl(U), inl(V)), radd(W, X, Y, Z)) | member(U, W) )).
% 22.90/23.10 cnf(matrix-140, plain, ( ~member(pair(inl(U), inl(V)), radd(W, X, Y, Z)) | member(V, W) )).
% 22.90/23.10 cnf(matrix-141, plain, ( ~member(pair(inl(U), inl(V)), radd(W, X, Y, Z)) | member(pair(U, V), X) )).
% 22.90/23.10 cnf(matrix-142, plain, ( ~member(pair(inl(U), inr(V)), radd(W, X, Y, Z)) | member(U, W) )).
% 22.90/23.10 cnf(matrix-143, plain, ( ~member(pair(inl(U), inr(V)), radd(W, X, Y, Z)) | member(V, Y) )).
% 22.90/23.10 cnf(matrix-144, plain, ( ~le(succ(U), V) | lt(U, V) )).
% 22.90/23.10 cnf(matrix-145, plain, ( ~le(eptset, succ(U)) | ord(U) )).
% 22.90/23.10 cnf(matrix-146, plain, ( ~member(pair(U, V), memrel(W)) | member(U, W) )).
% 22.90/23.10 cnf(matrix-147, plain, ( ~member(pair(U, V), memrel(W)) | member(V, W) )).
% 22.90/23.10 cnf(matrix-148, plain, ( ~member(pair(U, V), memrel(W)) | member(U, V) )).
% 22.90/23.10 cnf(matrix-149, plain, ( ~le(U, eptset) | ( U = eptset) )).
% 22.90/23.10 cnf(matrix-150, plain, ( ~le(U, U) | ord(U) )).
% 22.90/23.10 cnf(matrix-151, plain, ( ~ord(succ(U)) | ord(U) )).
% 22.90/23.10 cnf(matrix-152, plain, ( ~member(U, comp(V, W)) | ( U = pair(compE_sk1(U, V, W), compE_sk3(U, V, W))) )).
% 22.90/23.10 cnf(matrix-153, plain, ( ~member(U, comp(V, W)) | member(pair(compE_sk1(U, V, W), compE_sk2(U, V, W)), W) )).
% 22.90/23.10 cnf(matrix-154, plain, ( ~member(U, comp(V, W)) | member(pair(compE_sk2(U, V, W), compE_sk3(U, V, W)), V) )).
% 22.90/23.10 cnf(matrix-155, plain, ( ~member(U, id(V)) | member(idE_sk1(U, V), V) )).
% 22.90/23.10 cnf(matrix-156, plain, ( ~member(U, id(V)) | ( U = pair(idE_sk1(U, V), idE_sk1(U, V))) )).
% 22.90/23.10 cnf(matrix-157, plain, ( ( inr(U) != inl(V)) )).
% 22.90/23.10 cnf(matrix-158, plain, ( ( inl(U) != inr(V)) )).
% 22.90/23.10 cnf(matrix-159, plain, ( ( inr(U) != inr(V)) | ( U = V) )).
% 22.90/23.10 cnf(matrix-160, plain, ( ( inl(U) != inl(V)) | ( U = V) )).
% 22.90/23.10 cnf(matrix-161, plain, ( ~member(U, disjsum(V, W)) | member(sumE_sk1(U, V, W), V) | member(sumE_sk2(U, V, W), W) )).
% 22.90/23.10 cnf(matrix-162, plain, ( ~member(U, disjsum(V, W)) | member(sumE_sk1(U, V, W), V) | ( U = inr(sumE_sk2(U, V, W))) )).
% 22.90/23.10 cnf(matrix-163, plain, ( ~member(U, disjsum(V, W)) | ( U = inl(sumE_sk1(U, V, W))) | member(sumE_sk2(U, V, W), W) )).
% 22.90/23.10 cnf(matrix-164, plain, ( ~member(U, disjsum(V, W)) | ( U = inl(sumE_sk1(U, V, W))) | ( U = inr(sumE_sk2(U, V, W))) )).
% 22.90/23.10 cnf(matrix-165, plain, ( ~member(U, vimage(V, W)) | member(pair(U, vimageE_sk1(U, V, W)), V) )).
% 22.90/23.10 cnf(matrix-166, plain, ( ~member(U, vimage(V, W)) | member(vimageE_sk1(U, V, W), W) )).
% 22.90/23.10 cnf(matrix-167, plain, ( ~member(U, image(V, W)) | member(pair(imageE_sk1(U, V, W), U), V) )).
% 22.90/23.10 cnf(matrix-168, plain, ( ~member(U, image(V, W)) | member(imageE_sk1(U, V, W), W) )).
% 22.90/23.10 cnf(matrix-169, plain, ( ~member(U, field(V)) | member(pair(U, fieldE_sk1(U, V)), V) | member(pair(fieldE_sk2(U, V), U), V) )).
% 22.90/23.10 cnf(matrix-170, plain, ( ~member(U, range(V)) | member(pair(rangeE_sk1(U, V), U), V) )).
% 22.90/23.10 cnf(matrix-171, plain, ( ~member(U, domain(V)) | member(pair(U, domainE_sk1(U, V)), V) )).
% 22.90/23.10 cnf(matrix-172, plain, ( member(cons_subsetE_sk1(U, V, W), cons(U, V)) | member(U, W) )).
% 22.90/23.10 cnf(matrix-173, plain, ( ~member(cons_subsetE_sk1(U, V, W), W) | member(U, W) )).
% 22.90/23.10 cnf(matrix-174, plain, ( ~member(U, V) | member(cons_subsetE_sk1(W, V, X), cons(W, V)) | member(U, X) )).
% 22.90/23.10 cnf(matrix-175, plain, ( ~member(cons_subsetE_sk1(U, V, W), W) | ~member(X, V) | member(X, W) )).
% 22.90/23.10 cnf(matrix-176, plain, ( ~subset(cons(A, B), C) | member(A, C) )).
% 22.90/23.10 cnf(matrix-177, plain, ( ~subset(cons(A, B), C) | subset(B, C) )).
% 22.90/23.10 cnf(matrix-178, plain, ( ~member(U, converse(V)) | ( U = pair(converseE_sk2(U, V), converseE_sk1(U, V))) )).
% 22.90/23.10 cnf(matrix-179, plain, ( ~member(U, converse(V)) | member(pair(converseE_sk1(U, V), converseE_sk2(U, V)), V) )).
% 22.90/23.10 cnf(matrix-180, plain, ( ~member(pair(U, V), converse(W)) | member(pair(V, U), W) )).
% 22.90/23.10 cnf(matrix-181, plain, ( ( pair(U, V) != pair(W, X)) | ( U = W) )).
% 22.90/23.10 cnf(matrix-182, plain, ( ( pair(U, V) != pair(W, X)) | ( V = X) )).
% 22.90/23.10 cnf(matrix-183, plain, ( ( cons(U, eptset) != cons(V, eptset)) | ( U = V) )).
% 22.90/23.10 cnf(matrix-184, plain, ( ( succ(U) != succ(V)) | ( U = V) )).
% 22.90/23.10 cnf(matrix-185, plain, ( ~member(U, succ(V)) | ( U = V) | member(U, V) )).
% 22.90/23.10 cnf(matrix-186, plain, ( ~member(U, cons(V, eptset)) | ( U = V) )).
% 22.90/23.10 cnf(matrix-187, plain, ( ~member(U, cons(V, W)) | ( U = V) | member(U, W) )).
% 22.90/23.10 cnf(matrix-188, plain, ( ~member(U, diff(V, W)) | member(U, V) )).
% 22.90/23.10 cnf(matrix-189, plain, ( ~member(U, diff(V, W)) | ~member(U, W) )).
% 22.90/23.10 cnf(matrix-190, plain, ( ~member(U, int(V, W)) | member(U, V) )).
% 22.90/23.10 cnf(matrix-191, plain, ( ~member(U, int(V, W)) | member(U, W) )).
% 22.90/23.10 cnf(matrix-192, plain, ( ~member(U, un(V, W)) | member(U, V) | member(U, W) )).
% 22.90/23.10 cnf(matrix-193, plain, ( ~member(U, pow(V)) | ~member(W, U) | member(W, V) )).
% 22.90/23.10 cnf(matrix-194, plain, ( ~member(U, union(V)) | member(U, unionE_sk1(U, V)) )).
% 22.90/23.10 cnf(matrix-195, plain, ( ~member(U, union(V)) | member(unionE_sk1(U, V), V) )).
% 22.90/23.10 cnf(matrix-196, plain, ( ( U != eptset) | ~member(V, U) )).
% 22.90/23.10 cnf(matrix-197, plain, ( ~member(U, inter(V)) | ~member(W, V) | member(U, W) )).
% 22.90/23.10 cnf(matrix-198, plain, ( ~member(U, V) | member(subsetD_sk1(V, W, U), V) | member(U, W) )).
% 22.90/23.10 cnf(matrix-199, plain, ( ~member(subsetD_sk1(U, V, W), V) | ~member(W, U) | member(W, V) )).
% 22.90/23.10 cnf(matrix-200, plain, ( ~subset(A, B) | ~member(C, A) | member(C, B) )).
% 22.90/23.10 cnf(matrix-201, plain, ( ~member(pair(C, A), R) | member(A, field(R)) )).
% 22.90/23.10 cnf(matrix-202, plain, ( ~member(pair(A, B), R) | member(A, field(R)) )).
% 22.90/23.10 cnf(matrix-203, plain, ( ( pair(A, B) != eptset) )).
% 22.90/23.10 cnf(matrix-204, plain, ( ( pair(A, B) != A) )).
% 22.90/23.10 cnf(matrix-205, plain, ( ( pair(A, B) != B) )).
% 22.90/23.10 cnf(matrix-206, plain, ( member(subsetI_sk1(A, B), A) | subset(A, B) )).
% 22.90/23.10 cnf(matrix-207, plain, ( ~member(subsetI_sk1(A, B), B) | subset(A, B) )).
% 22.90/23.10 cnf(matrix-208, plain, ( subset(A, A) )).
% 22.90/23.10 cnf(matrix-209, plain, ( ~subset(A, B) | ~subset(B, C) | subset(A, C) )).
% 22.90/23.10 cnf(matrix-210, plain, ( ~member(X, eptset) | member(X, A) )).
% 22.90/23.10 cnf(matrix-211, plain, ( subset(eptset, A) )).
% 22.90/23.10 cnf(matrix-212, plain, ( ~subset(A, B) | ~subset(B, A) | ( A = B) )).
% 22.90/23.10 cnf(matrix-213, plain, ( ( A != B) | subset(A, B) )).
% 22.90/23.10 cnf(matrix-214, plain, ( ( A != B) | subset(B, A) )).
% 22.90/23.10 cnf(matrix-215, plain, ( ( combK != combS) )).
% 22.90/23.10 cnf(matrix-216, plain, ( ( combK != comb_app(P, Q)) )).
% 22.90/23.10 cnf(matrix-217, plain, ( ( combS != comb_app(P, Q)) )).
% 22.90/23.10 cnf(matrix-218, plain, ( ( comb_app(P1, Q1) != comb_app(P2, Q2)) | ( P1 = P2) )).
% 22.90/23.10 cnf(matrix-219, plain, ( ( comb_app(P1, Q1) != comb_app(P2, Q2)) | ( Q1 = Q2) )).
% 22.90/23.10 cnf(matrix-220, plain, ( ( P1 != P2) | ( Q1 != Q2) | ( comb_app(P1, Q1) = comb_app(P2, Q2)) )).
% 22.90/23.10 cnf(matrix-221, plain, ( ~member(pair(A, B), R) | member(pair(A, B), trancl(R)) )).
% 22.90/23.10 cnf(matrix-222, plain, ( trans(trancl(R)) )).
% 22.90/23.10 cnf(matrix-223, plain, ( ~trans(R) | ~member(pair(A, B), R) | ~member(pair(B, C), R) | member(pair(A, C), R) )).
% 22.90/23.10 cnf(matrix-224, plain, ( ~diamond(R) | ~member(pair(X, Y), trancl(R)) | ~member(pair(X, YP), R) | member(pair(YP, diamond_strip_lemmaD_sk1(X, Y, YP, R)), trancl(R)) )).
% 22.90/23.10 cnf(matrix-225, plain, ( ~diamond(R) | ~member(pair(X, Y), trancl(R)) | ~member(pair(X, YP), R) | member(pair(Y, diamond_strip_lemmaD_sk1(X, Y, YP, R)), R) )).
% 22.90/23.10 cnf(matrix-226, plain, ( diamond(r) )).
% 22.90/23.10 cnf(matrix-227, plain, ( member(pair(y, ya), r) )).
% 22.90/23.10 cnf(matrix-228, plain, ( member(pair(y, yp), trancl(r)) )).
% 22.90/23.10 cnf(matrix-229, plain, ( ~member(pair(ya, Z), trancl(r)) | ~member(pair(yp, Z), trancl(r)) )).
% 22.90/23.10
% 22.90/23.10 % Proof stack:
% 22.90/23.10 cnf(proof-stack, plain,
% 22.90/23.10 proof_stack(
% 22.90/23.10 start(229),
% 22.90/23.10 left_branch(0, 224, 3, 2),
% 22.90/23.10 left_branch(0, 226, 0, 3),
% 22.90/23.10 right_branch(3),
% 22.90/23.10 left_branch(0, 227, 0, 4),
% 22.90/23.10 right_branch(4),
% 22.90/23.10 left_branch(0, 228, 0, 5),
% 22.90/23.10 right_branch(5),
% 22.90/23.10 right_branch(2),
% 22.90/23.10 left_branch(0, 221, 1, 3),
% 22.90/23.10 left_branch(0, 225, 3, 4),
% 22.90/23.10 left_branch(0, 226, 0, 5),
% 22.90/23.10 right_branch(5),
% 22.90/23.10 left_branch(0, 227, 0, 6),
% 22.90/23.10 right_branch(6),
% 22.90/23.10 left_branch(0, 228, 0, 7),
% 22.90/23.10 right_branch(7),
% 22.90/23.10 right_branch(4),
% 22.90/23.10 right_branch(3)
% 22.90/23.10 )).
% 22.90/23.10 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------