TSTP Solution File: SEU413+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n024.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 14:34:12 EDT 2024
% Result : Theorem 12.26s 12.44s
% Output : Proof 12.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Mar 20 14:45:31 EDT 2024
% 0.12/0.33 % CPUTime :
% 12.26/12.44 % SZS status Theorem for theBenchmark
% 12.26/12.44 % SZS output start Proof for theBenchmark
% 12.26/12.44
% 12.26/12.44 % Formula: t23_latsum_1 ( conjecture ) (definitionally) converted to clauses:
% 12.26/12.44 cnf(t23_latsum_1-1, negated_conjecture, ( l1_orders_2(skolem1) )).
% 12.26/12.44 cnf(t23_latsum_1-2, negated_conjecture, ( l1_orders_2(skolem2) )).
% 12.26/12.44 cnf(t23_latsum_1-3, negated_conjecture, ( m1_subset_1(skolem3, u1_struct_0(k1_latsum_1(skolem1, skolem2))) )).
% 12.26/12.44 cnf(t23_latsum_1-4, negated_conjecture, ( m1_subset_1(skolem4, u1_struct_0(k1_latsum_1(skolem1, skolem2))) )).
% 12.26/12.44 cnf(t23_latsum_1-5, negated_conjecture, ( v12_waybel_0(k3_xboole_0(u1_struct_0(skolem1), u1_struct_0(skolem2)), skolem2) )).
% 12.26/12.44 cnf(t23_latsum_1-6, negated_conjecture, ( m1_subset_1(k3_xboole_0(u1_struct_0(skolem1), u1_struct_0(skolem2)), k1_zfmisc_1(u1_struct_0(skolem2))) )).
% 12.26/12.44 cnf(t23_latsum_1-7, negated_conjecture, ( r1_orders_2(k1_latsum_1(skolem1, skolem2), skolem3, skolem4) )).
% 12.26/12.44 cnf(t23_latsum_1-8, negated_conjecture, ( r2_hidden(skolem4, u1_struct_0(skolem1)) )).
% 12.26/12.44 cnf(t23_latsum_1-9, negated_conjecture, ( ~r2_hidden(skolem3, u1_struct_0(skolem1)) )).
% 12.26/12.44
% 12.26/12.44 % Formula: abstractness_v1_orders_2 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(abstractness_v1_orders_2-1, axiom, ( ~l1_orders_2(_u4) | ~v1_orders_2(_u4) | ( _u4 = g1_orders_2(u1_struct_0(_u4), u1_orders_2(_u4))) )).
% 12.26/12.44
% 12.26/12.44 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 12.26/12.44 cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u6, _u5) | ~r2_hidden(_u5, _u6) )).
% 12.26/12.44
% 12.26/12.44 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(cc1_relset_1-1, axiom, ( ~m1_subset_1(_u7, k1_zfmisc_1(k2_zfmisc_1(_u9, _u8))) | v1_relat_1(_u7) )).
% 12.26/12.44
% 12.26/12.44 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(commutativity_k3_xboole_0-1, axiom, ( ( k3_xboole_0(_u11, _u10) = k3_xboole_0(_u10, _u11)) )).
% 12.26/12.44
% 12.26/12.44 % Formula: d9_orders_2 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(d9_orders_2-1, axiom, ( ~l1_orders_2(_u14) | ~m1_subset_1(_u13, u1_struct_0(_u14)) | ~m1_subset_1(_u12, u1_struct_0(_u14)) | ~r1_orders_2(_u14, _u13, _u12) | r2_hidden(k4_tarski(_u13, _u12), u1_orders_2(_u14)) )).
% 12.26/12.44 cnf(d9_orders_2-2, axiom, ( ~l1_orders_2(_u14) | ~m1_subset_1(_u13, u1_struct_0(_u14)) | ~m1_subset_1(_u12, u1_struct_0(_u14)) | ~r2_hidden(k4_tarski(_u13, _u12), u1_orders_2(_u14)) | r1_orders_2(_u14, _u13, _u12) )).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_g1_orders_2 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_g1_orders_2-1, axiom, ( ~m1_relset_1(_u15, _u16, _u16) | v1_orders_2(g1_orders_2(_u16, _u15)) )).
% 12.26/12.44 cnf(dt_g1_orders_2-2, axiom, ( ~m1_relset_1(_u15, _u16, _u16) | l1_orders_2(g1_orders_2(_u16, _u15)) )).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_k1_latsum_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_k1_latsum_1-1, axiom, ( ~l1_orders_2(_u18) | ~l1_orders_2(_u17) | v1_orders_2(k1_latsum_1(_u18, _u17)) )).
% 12.26/12.44 cnf(dt_k1_latsum_1-2, axiom, ( ~l1_orders_2(_u18) | ~l1_orders_2(_u17) | l1_orders_2(k1_latsum_1(_u18, _u17)) )).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_k1_xboole_0, axiom, $true).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_k1_zfmisc_1, axiom, $true).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_k2_zfmisc_1, axiom, $true).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_k3_xboole_0 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_k3_xboole_0, axiom, $true).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_k4_tarski ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_k4_tarski, axiom, $true).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_l1_orders_2 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_l1_orders_2-1, axiom, ( ~l1_orders_2(_u19) | l1_struct_0(_u19) )).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_l1_struct_0 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_l1_struct_0, axiom, $true).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_m1_relset_1, axiom, $true).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_m1_subset_1, axiom, $true).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_m2_relset_1-1, axiom, ( ~m2_relset_1(_u20, _u22, _u21) | m1_subset_1(_u20, k1_zfmisc_1(k2_zfmisc_1(_u22, _u21))) )).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_u1_orders_2 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_u1_orders_2-1, axiom, ( ~l1_orders_2(_u23) | m2_relset_1(u1_orders_2(_u23), u1_struct_0(_u23), u1_struct_0(_u23)) )).
% 12.26/12.44
% 12.26/12.44 % Formula: dt_u1_struct_0 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(dt_u1_struct_0, axiom, $true).
% 12.26/12.44
% 12.26/12.44 % Formula: existence_l1_orders_2 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(existence_l1_orders_2-1, axiom, ( l1_orders_2(skolem5) )).
% 12.26/12.44
% 12.26/12.44 % Formula: existence_l1_struct_0 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(existence_l1_struct_0-1, axiom, ( l1_struct_0(skolem6) )).
% 12.26/12.44
% 12.26/12.44 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(existence_m1_relset_1-1, axiom, ( m1_relset_1(skolem7(_u28, _u27), _u28, _u27) )).
% 12.26/12.44
% 12.26/12.44 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem8(_u30), _u30) )).
% 12.26/12.44
% 12.26/12.44 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(existence_m2_relset_1-1, axiom, ( m2_relset_1(skolem9(_u33, _u32), _u33, _u32) )).
% 12.26/12.44
% 12.26/12.44 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(fc1_xboole_0-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 12.26/12.44
% 12.26/12.44 % Formula: free_g1_orders_2 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(free_g1_orders_2-1, axiom, ( ~m1_relset_1(_u36, _u37, _u37) | ( g1_orders_2(_u37, _u36) != g1_orders_2(_u35, _u34)) | ( _u37 = _u35) )).
% 12.26/12.44 cnf(free_g1_orders_2-2, axiom, ( ~m1_relset_1(_u36, _u37, _u37) | ( g1_orders_2(_u37, _u36) != g1_orders_2(_u35, _u34)) | ( _u36 = _u34) )).
% 12.26/12.44
% 12.26/12.44 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(idempotence_k3_xboole_0-1, axiom, ( ( k3_xboole_0(_u39, _u39) = _u39) )).
% 12.26/12.44
% 12.26/12.44 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(rc1_xboole_0-1, axiom, ( v1_xboole_0(skolem10) )).
% 12.26/12.44
% 12.26/12.44 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(rc2_xboole_0-1, axiom, ( ~v1_xboole_0(skolem11) )).
% 12.26/12.44
% 12.26/12.44 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(redefinition_m2_relset_1-1, axiom, ( ~m2_relset_1(_u45, _u49, _u47) | m1_relset_1(_u45, _u49, _u47) )).
% 12.26/12.44 cnf(redefinition_m2_relset_1-2, axiom, ( ~m1_relset_1(_u46, _u50, _u48) | m2_relset_1(_u46, _u50, _u48) )).
% 12.26/12.44
% 12.26/12.44 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 12.26/12.44 cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u52, _u52) )).
% 12.26/12.44
% 12.26/12.44 % Formula: t1_subset ( axiom ) converted to clauses:
% 12.26/12.44 cnf(t1_subset-1, axiom, ( ~r2_hidden(_u54, _u53) | m1_subset_1(_u54, _u53) )).
% 12.26/12.44
% 12.26/12.44 % Formula: t21_latsum_1 ( axiom ) converted to clauses:
% 12.26/12.44 cnf(t21_latsum_1-1, axiom, ( ~l1_orders_2(_u58) | ~l1_orders_2(_u57) | r2_hidden(_u56, u1_struct_0(_u58)) | ~v12_waybel_0(k3_xboole_0(u1_struct_0(_u58), u1_struct_0(_u57)), _u57) | ~m1_subset_1(k3_xboole_0(u1_struct_0(_u58), u1_struct_0(_u57)), k1_zfmisc_1(u1_struct_0(_u57))) | ~r2_hidden(k4_tarski(_u56, _u55), u1_orders_2(k1_latsum_1(_u58, _u57))) | ~r2_hidden(_u55, u1_struct_0(_u58)) )).
% 12.26/12.44
% 12.26/12.44 % Formula: t2_boole ( axiom ) converted to clauses:
% 12.26/12.44 cnf(t2_boole-1, axiom, ( ( k3_xboole_0(_u59, k1_xboole_0) = k1_xboole_0) )).
% 12.26/12.44
% 12.26/12.44 % Formula: t2_subset ( axiom ) converted to clauses:
% 12.26/12.44 cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u61, _u60) | v1_xboole_0(_u60) | r2_hidden(_u61, _u60) )).
% 12.26/12.44
% 12.26/12.44 % Formula: t3_subset ( axiom ) converted to clauses:
% 12.26/12.44 cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u66, k1_zfmisc_1(_u64)) | r1_tarski(_u66, _u64) )).
% 12.26/12.44 cnf(t3_subset-2, axiom, ( ~r1_tarski(_u67, _u65) | m1_subset_1(_u67, k1_zfmisc_1(_u65)) )).
% 12.26/12.44
% 12.26/12.44 % Formula: t4_subset ( axiom ) converted to clauses:
% 12.26/12.44 cnf(t4_subset-1, axiom, ( ~r2_hidden(_u70, _u69) | ~m1_subset_1(_u69, k1_zfmisc_1(_u68)) | m1_subset_1(_u70, _u68) )).
% 12.26/12.44
% 12.26/12.44 % Formula: t5_subset ( axiom ) converted to clauses:
% 12.26/12.44 cnf(t5_subset-1, axiom, ( ~r2_hidden(_u73, _u72) | ~m1_subset_1(_u72, k1_zfmisc_1(_u71)) | ~v1_xboole_0(_u71) )).
% 12.26/12.44
% 12.26/12.44 % Formula: t6_boole ( axiom ) converted to clauses:
% 12.26/12.44 cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u74) | ( _u74 = k1_xboole_0) )).
% 12.26/12.44
% 12.26/12.44 % Formula: t7_boole ( axiom ) converted to clauses:
% 12.26/12.44 cnf(t7_boole-1, axiom, ( ~r2_hidden(_u76, _u75) | ~v1_xboole_0(_u75) )).
% 12.26/12.44
% 12.26/12.44 % Formula: t8_boole ( axiom ) converted to clauses:
% 12.26/12.44 cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u78) | ( _u78 = _u77) | ~v1_xboole_0(_u77) )).
% 12.26/12.44
% 12.26/12.44 % Problem matrix:
% 12.26/12.44 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.26/12.44 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.26/12.44 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.26/12.44 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k1_latsum_1(__eqx_0, __eqx_1) = k1_latsum_1(__eqy_0, __eqy_1)) )).
% 12.26/12.44 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( u1_struct_0(__eqx_0) = u1_struct_0(__eqy_0)) )).
% 12.26/12.44 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k3_xboole_0(__eqx_0, __eqx_1) = k3_xboole_0(__eqy_0, __eqy_1)) )).
% 12.26/12.44 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 12.26/12.44 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( u1_orders_2(__eqx_0) = u1_orders_2(__eqy_0)) )).
% 12.26/12.44 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( g1_orders_2(__eqx_0, __eqx_1) = g1_orders_2(__eqy_0, __eqy_1)) )).
% 12.26/12.44 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k2_zfmisc_1(__eqx_0, __eqx_1) = k2_zfmisc_1(__eqy_0, __eqy_1)) )).
% 12.26/12.44 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k4_tarski(__eqx_0, __eqx_1) = k4_tarski(__eqy_0, __eqy_1)) )).
% 12.26/12.44 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 12.26/12.44 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skolem8(__eqx_0) = skolem8(__eqy_0)) )).
% 12.26/12.44 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 12.26/12.44 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~l1_orders_2(__eqx_0) | l1_orders_2(__eqy_0) )).
% 12.26/12.44 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_subset_1(__eqx_0, __eqx_1) | m1_subset_1(__eqy_0, __eqy_1) )).
% 12.26/12.44 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v12_waybel_0(__eqx_0, __eqx_1) | v12_waybel_0(__eqy_0, __eqy_1) )).
% 12.26/12.44 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~r1_orders_2(__eqx_0, __eqx_1, __eqx_2) | r1_orders_2(__eqy_0, __eqy_1, __eqy_2) )).
% 12.26/12.44 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 12.26/12.44 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~v1_orders_2(__eqx_0) | v1_orders_2(__eqy_0) )).
% 12.26/12.44 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~v1_relat_1(__eqx_0) | v1_relat_1(__eqy_0) )).
% 12.26/12.44 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~m1_relset_1(__eqx_0, __eqx_1, __eqx_2) | m1_relset_1(__eqy_0, __eqy_1, __eqy_2) )).
% 12.26/12.44 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~l1_struct_0(__eqx_0) | l1_struct_0(__eqy_0) )).
% 12.26/12.44 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~m2_relset_1(__eqx_0, __eqx_1, __eqx_2) | m2_relset_1(__eqy_0, __eqy_1, __eqy_2) )).
% 12.26/12.44 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 12.26/12.44 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 12.26/12.44 cnf(matrix-26, plain, ( l1_orders_2(skolem1) )).
% 12.26/12.44 cnf(matrix-27, plain, ( l1_orders_2(skolem2) )).
% 12.26/12.44 cnf(matrix-28, plain, ( m1_subset_1(skolem3, u1_struct_0(k1_latsum_1(skolem1, skolem2))) )).
% 12.26/12.44 cnf(matrix-29, plain, ( m1_subset_1(skolem4, u1_struct_0(k1_latsum_1(skolem1, skolem2))) )).
% 12.26/12.44 cnf(matrix-30, plain, ( v12_waybel_0(k3_xboole_0(u1_struct_0(skolem1), u1_struct_0(skolem2)), skolem2) )).
% 12.26/12.44 cnf(matrix-31, plain, ( m1_subset_1(k3_xboole_0(u1_struct_0(skolem1), u1_struct_0(skolem2)), k1_zfmisc_1(u1_struct_0(skolem2))) )).
% 12.26/12.44 cnf(matrix-32, plain, ( r1_orders_2(k1_latsum_1(skolem1, skolem2), skolem3, skolem4) )).
% 12.26/12.44 cnf(matrix-33, plain, ( r2_hidden(skolem4, u1_struct_0(skolem1)) )).
% 12.26/12.44 cnf(matrix-34, plain, ( ~r2_hidden(skolem3, u1_struct_0(skolem1)) )).
% 12.26/12.44 cnf(matrix-35, plain, ( ~l1_orders_2(_u4) | ~v1_orders_2(_u4) | ( _u4 = g1_orders_2(u1_struct_0(_u4), u1_orders_2(_u4))) )).
% 12.26/12.44 cnf(matrix-36, plain, ( ~r2_hidden(_u6, _u5) | ~r2_hidden(_u5, _u6) )).
% 12.26/12.44 cnf(matrix-37, plain, ( ~m1_subset_1(_u7, k1_zfmisc_1(k2_zfmisc_1(_u9, _u8))) | v1_relat_1(_u7) )).
% 12.26/12.44 cnf(matrix-38, plain, ( ( k3_xboole_0(_u11, _u10) = k3_xboole_0(_u10, _u11)) )).
% 12.26/12.44 cnf(matrix-39, plain, ( ~l1_orders_2(_u14) | ~m1_subset_1(_u13, u1_struct_0(_u14)) | ~m1_subset_1(_u12, u1_struct_0(_u14)) | ~r1_orders_2(_u14, _u13, _u12) | r2_hidden(k4_tarski(_u13, _u12), u1_orders_2(_u14)) )).
% 12.26/12.44 cnf(matrix-40, plain, ( ~l1_orders_2(_u14) | ~m1_subset_1(_u13, u1_struct_0(_u14)) | ~m1_subset_1(_u12, u1_struct_0(_u14)) | ~r2_hidden(k4_tarski(_u13, _u12), u1_orders_2(_u14)) | r1_orders_2(_u14, _u13, _u12) )).
% 12.26/12.44 cnf(matrix-41, plain, ( ~m1_relset_1(_u15, _u16, _u16) | v1_orders_2(g1_orders_2(_u16, _u15)) )).
% 12.26/12.44 cnf(matrix-42, plain, ( ~m1_relset_1(_u15, _u16, _u16) | l1_orders_2(g1_orders_2(_u16, _u15)) )).
% 12.26/12.44 cnf(matrix-43, plain, ( ~l1_orders_2(_u18) | ~l1_orders_2(_u17) | v1_orders_2(k1_latsum_1(_u18, _u17)) )).
% 12.26/12.44 cnf(matrix-44, plain, ( ~l1_orders_2(_u18) | ~l1_orders_2(_u17) | l1_orders_2(k1_latsum_1(_u18, _u17)) )).
% 12.26/12.44 cnf(matrix-45, plain, ( ~l1_orders_2(_u19) | l1_struct_0(_u19) )).
% 12.26/12.44 cnf(matrix-46, plain, ( ~m2_relset_1(_u20, _u22, _u21) | m1_subset_1(_u20, k1_zfmisc_1(k2_zfmisc_1(_u22, _u21))) )).
% 12.26/12.44 cnf(matrix-47, plain, ( ~l1_orders_2(_u23) | m2_relset_1(u1_orders_2(_u23), u1_struct_0(_u23), u1_struct_0(_u23)) )).
% 12.26/12.44 cnf(matrix-48, plain, ( l1_orders_2(skolem5) )).
% 12.26/12.44 cnf(matrix-49, plain, ( l1_struct_0(skolem6) )).
% 12.26/12.44 cnf(matrix-50, plain, ( m1_relset_1(skolem7(_u28, _u27), _u28, _u27) )).
% 12.26/12.44 cnf(matrix-51, plain, ( m1_subset_1(skolem8(_u30), _u30) )).
% 12.26/12.44 cnf(matrix-52, plain, ( m2_relset_1(skolem9(_u33, _u32), _u33, _u32) )).
% 12.26/12.44 cnf(matrix-53, plain, ( v1_xboole_0(k1_xboole_0) )).
% 12.26/12.44 cnf(matrix-54, plain, ( ~m1_relset_1(_u36, _u37, _u37) | ( g1_orders_2(_u37, _u36) != g1_orders_2(_u35, _u34)) | ( _u37 = _u35) )).
% 12.26/12.44 cnf(matrix-55, plain, ( ~m1_relset_1(_u36, _u37, _u37) | ( g1_orders_2(_u37, _u36) != g1_orders_2(_u35, _u34)) | ( _u36 = _u34) )).
% 12.26/12.44 cnf(matrix-56, plain, ( ( k3_xboole_0(_u39, _u39) = _u39) )).
% 12.26/12.44 cnf(matrix-57, plain, ( v1_xboole_0(skolem10) )).
% 12.26/12.44 cnf(matrix-58, plain, ( ~v1_xboole_0(skolem11) )).
% 12.26/12.44 cnf(matrix-59, plain, ( ~m2_relset_1(_u45, _u49, _u47) | m1_relset_1(_u45, _u49, _u47) )).
% 12.26/12.44 cnf(matrix-60, plain, ( ~m1_relset_1(_u46, _u50, _u48) | m2_relset_1(_u46, _u50, _u48) )).
% 12.26/12.44 cnf(matrix-61, plain, ( r1_tarski(_u52, _u52) )).
% 12.26/12.44 cnf(matrix-62, plain, ( ~r2_hidden(_u54, _u53) | m1_subset_1(_u54, _u53) )).
% 12.26/12.44 cnf(matrix-63, plain, ( ~l1_orders_2(_u58) | ~l1_orders_2(_u57) | r2_hidden(_u56, u1_struct_0(_u58)) | ~v12_waybel_0(k3_xboole_0(u1_struct_0(_u58), u1_struct_0(_u57)), _u57) | ~m1_subset_1(k3_xboole_0(u1_struct_0(_u58), u1_struct_0(_u57)), k1_zfmisc_1(u1_struct_0(_u57))) | ~r2_hidden(k4_tarski(_u56, _u55), u1_orders_2(k1_latsum_1(_u58, _u57))) | ~r2_hidden(_u55, u1_struct_0(_u58)) )).
% 12.26/12.44 cnf(matrix-64, plain, ( ( k3_xboole_0(_u59, k1_xboole_0) = k1_xboole_0) )).
% 12.26/12.44 cnf(matrix-65, plain, ( ~m1_subset_1(_u61, _u60) | v1_xboole_0(_u60) | r2_hidden(_u61, _u60) )).
% 12.26/12.44 cnf(matrix-66, plain, ( ~m1_subset_1(_u66, k1_zfmisc_1(_u64)) | r1_tarski(_u66, _u64) )).
% 12.26/12.44 cnf(matrix-67, plain, ( ~r1_tarski(_u67, _u65) | m1_subset_1(_u67, k1_zfmisc_1(_u65)) )).
% 12.26/12.44 cnf(matrix-68, plain, ( ~r2_hidden(_u70, _u69) | ~m1_subset_1(_u69, k1_zfmisc_1(_u68)) | m1_subset_1(_u70, _u68) )).
% 12.26/12.44 cnf(matrix-69, plain, ( ~r2_hidden(_u73, _u72) | ~m1_subset_1(_u72, k1_zfmisc_1(_u71)) | ~v1_xboole_0(_u71) )).
% 12.26/12.44 cnf(matrix-70, plain, ( ~v1_xboole_0(_u74) | ( _u74 = k1_xboole_0) )).
% 12.26/12.44 cnf(matrix-71, plain, ( ~r2_hidden(_u76, _u75) | ~v1_xboole_0(_u75) )).
% 12.26/12.44 cnf(matrix-72, plain, ( ~v1_xboole_0(_u78) | ( _u78 = _u77) | ~v1_xboole_0(_u77) )).
% 12.26/12.44
% 12.26/12.44 % Proof stack:
% 12.26/12.44 cnf(proof-stack, plain,
% 12.26/12.44 proof_stack(
% 12.26/12.44 start(28),
% 12.26/12.44 left_branch(0, 39, 1, 2),
% 12.26/12.44 left_branch(0, 44, 2, 3),
% 12.26/12.44 left_branch(0, 26, 0, 4),
% 12.26/12.44 right_branch(4),
% 12.26/12.44 left_branch(0, 27, 0, 5),
% 12.26/12.44 right_branch(5),
% 12.26/12.44 right_branch(3),
% 12.26/12.44 left_branch(0, 32, 0, 4),
% 12.26/12.44 right_branch(4),
% 12.26/12.44 left_branch(0, 29, 0, 5),
% 12.26/12.44 right_branch(5),
% 12.26/12.44 left_branch(0, 63, 5, 6),
% 12.26/12.44 left_branch(0, 26, 0, 7),
% 12.26/12.44 right_branch(7),
% 12.26/12.44 left_branch(0, 33, 0, 8),
% 12.26/12.44 right_branch(8),
% 12.26/12.44 left_branch(0, 31, 0, 9),
% 12.26/12.44 right_branch(9),
% 12.26/12.44 left_branch(0, 30, 0, 10),
% 12.26/12.44 right_branch(10),
% 12.26/12.44 left_branch(0, 34, 0, 11),
% 12.26/12.44 right_branch(11),
% 12.26/12.44 left_branch(0, 27, 0, 12),
% 12.26/12.44 right_branch(12),
% 12.26/12.44 right_branch(6),
% 12.26/12.44 right_branch(2)
% 12.26/12.44 )).
% 12.26/12.44 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------