TSTP Solution File: SEU219+3 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n010.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 14:33:36 EDT 2024
% Result : Theorem 0.94s 1.16s
% Output : Proof 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n010.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 14:33:48 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.94/1.16 % SZS status Theorem for theBenchmark
% 0.94/1.16 % SZS output start Proof for theBenchmark
% 0.94/1.16
% 0.94/1.16 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.94/1.16 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.94/1.16
% 0.94/1.16 % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(cc1_funct_1-1, axiom, ( ~empty(_u2) | function(_u2) )).
% 0.94/1.16
% 0.94/1.16 % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(cc1_relat_1-1, axiom, ( ~empty(_u3) | relation(_u3) )).
% 0.94/1.16
% 0.94/1.16 % Formula: cc2_funct_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(cc2_funct_1-1, axiom, ( ~relation(_u4) | ~empty(_u4) | ~function(_u4) | one_to_one(_u4) )).
% 0.94/1.16
% 0.94/1.16 % Formula: d9_funct_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(d9_funct_1-1, axiom, ( ~relation(_u5) | ~function(_u5) | ~one_to_one(_u5) | ( function_inverse(_u5) = relation_inverse(_u5)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: dt_k2_funct_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(dt_k2_funct_1-1, axiom, ( ~relation(_u6) | ~function(_u6) | relation(function_inverse(_u6)) )).
% 0.94/1.16 cnf(dt_k2_funct_1-2, axiom, ( ~relation(_u6) | ~function(_u6) | function(function_inverse(_u6)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: dt_k4_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(dt_k4_relat_1-1, axiom, ( ~relation(_u7) | relation(relation_inverse(_u7)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(existence_m1_subset_1-1, axiom, ( element(skolem1(_u9), _u9) )).
% 0.94/1.16
% 0.94/1.16 % Formula: fc11_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(fc11_relat_1-1, axiom, ( ~empty(_u10) | empty(relation_inverse(_u10)) )).
% 0.94/1.16 cnf(fc11_relat_1-2, axiom, ( ~empty(_u10) | relation(relation_inverse(_u10)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: fc12_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(fc12_relat_1-1, axiom, ( empty(empty_set) )).
% 0.94/1.16 cnf(fc12_relat_1-2, axiom, ( relation(empty_set) )).
% 0.94/1.16 cnf(fc12_relat_1-3, axiom, ( relation_empty_yielding(empty_set) )).
% 0.94/1.16
% 0.94/1.16 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u11)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.94/1.16
% 0.94/1.16 % Formula: fc3_funct_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(fc3_funct_1-1, axiom, ( ~relation(_u12) | ~function(_u12) | ~one_to_one(_u12) | relation(relation_inverse(_u12)) )).
% 0.94/1.16 cnf(fc3_funct_1-2, axiom, ( ~relation(_u12) | ~function(_u12) | ~one_to_one(_u12) | function(relation_inverse(_u12)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(fc4_relat_1-1, axiom, ( empty(empty_set) )).
% 0.94/1.16 cnf(fc4_relat_1-2, axiom, ( relation(empty_set) )).
% 0.94/1.16
% 0.94/1.16 % Formula: fc5_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(fc5_relat_1-1, axiom, ( empty(_u13) | ~relation(_u13) | ~empty(relation_dom(_u13)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: fc6_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(fc6_relat_1-1, axiom, ( empty(_u14) | ~relation(_u14) | ~empty(relation_rng(_u14)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: fc7_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(fc7_relat_1-1, axiom, ( ~empty(_u15) | empty(relation_dom(_u15)) )).
% 0.94/1.16 cnf(fc7_relat_1-2, axiom, ( ~empty(_u15) | relation(relation_dom(_u15)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: fc8_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(fc8_relat_1-1, axiom, ( ~empty(_u16) | empty(relation_rng(_u16)) )).
% 0.94/1.16 cnf(fc8_relat_1-2, axiom, ( ~empty(_u16) | relation(relation_rng(_u16)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: involutiveness_k4_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(involutiveness_k4_relat_1-1, axiom, ( ~relation(_u17) | ( relation_inverse(relation_inverse(_u17)) = _u17) )).
% 0.94/1.16
% 0.94/1.16 % Formula: rc1_funct_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(rc1_funct_1-1, axiom, ( relation(skolem2) )).
% 0.94/1.16 cnf(rc1_funct_1-2, axiom, ( function(skolem2) )).
% 0.94/1.16
% 0.94/1.16 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(rc1_relat_1-1, axiom, ( empty(skolem3) )).
% 0.94/1.16 cnf(rc1_relat_1-2, axiom, ( relation(skolem3) )).
% 0.94/1.16
% 0.94/1.16 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(rc1_subset_1-1, axiom, ( empty(_u21) | element(skolem4(_u21), powerset(_u21)) )).
% 0.94/1.16 cnf(rc1_subset_1-2, axiom, ( empty(_u21) | ~empty(skolem4(_u21)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(rc1_xboole_0-1, axiom, ( empty(skolem5) )).
% 0.94/1.16
% 0.94/1.16 % Formula: rc2_funct_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(rc2_funct_1-1, axiom, ( relation(skolem6) )).
% 0.94/1.16 cnf(rc2_funct_1-2, axiom, ( empty(skolem6) )).
% 0.94/1.16 cnf(rc2_funct_1-3, axiom, ( function(skolem6) )).
% 0.94/1.16
% 0.94/1.16 % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(rc2_relat_1-1, axiom, ( ~empty(skolem7) )).
% 0.94/1.16 cnf(rc2_relat_1-2, axiom, ( relation(skolem7) )).
% 0.94/1.16
% 0.94/1.16 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(rc2_subset_1-1, axiom, ( element(skolem8(_u26), powerset(_u26)) )).
% 0.94/1.16 cnf(rc2_subset_1-2, axiom, ( empty(skolem8(_u26)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem9) )).
% 0.94/1.16
% 0.94/1.16 % Formula: rc3_funct_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(rc3_funct_1-1, axiom, ( relation(skolem10) )).
% 0.94/1.16 cnf(rc3_funct_1-2, axiom, ( function(skolem10) )).
% 0.94/1.16 cnf(rc3_funct_1-3, axiom, ( one_to_one(skolem10) )).
% 0.94/1.16
% 0.94/1.16 % Formula: rc3_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(rc3_relat_1-1, axiom, ( relation(skolem11) )).
% 0.94/1.16 cnf(rc3_relat_1-2, axiom, ( relation_empty_yielding(skolem11) )).
% 0.94/1.16
% 0.94/1.16 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.94/1.16 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u31, _u31) )).
% 0.94/1.16
% 0.94/1.16 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.94/1.16 cnf(t1_subset-1, axiom, ( ~in(_u33, _u32) | element(_u33, _u32) )).
% 0.94/1.16
% 0.94/1.16 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.94/1.16 cnf(t2_subset-1, axiom, ( ~element(_u35, _u34) | empty(_u34) | in(_u35, _u34) )).
% 0.94/1.16
% 0.94/1.16 % Formula: t37_relat_1 ( axiom ) converted to clauses:
% 0.94/1.16 cnf(t37_relat_1-1, axiom, ( ~relation(_u36) | ( relation_rng(_u36) = relation_dom(relation_inverse(_u36))) )).
% 0.94/1.16 cnf(t37_relat_1-2, axiom, ( ~relation(_u36) | ( relation_dom(_u36) = relation_rng(relation_inverse(_u36))) )).
% 0.94/1.16
% 0.94/1.16 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.94/1.16 cnf(t3_subset-1, axiom, ( ~element(_u41, powerset(_u39)) | subset(_u41, _u39) )).
% 0.94/1.16 cnf(t3_subset-2, axiom, ( ~subset(_u42, _u40) | element(_u42, powerset(_u40)) )).
% 0.94/1.16
% 0.94/1.16 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.94/1.16 cnf(t4_subset-1, axiom, ( ~in(_u45, _u44) | ~element(_u44, powerset(_u43)) | element(_u45, _u43) )).
% 0.94/1.16
% 0.94/1.16 % Formula: t55_funct_1 ( conjecture ) (definitionally) converted to clauses:
% 0.94/1.16 cnf(t55_funct_1-1, negated_conjecture, ( relation(skolem12) )).
% 0.94/1.16 cnf(t55_funct_1-2, negated_conjecture, ( function(skolem12) )).
% 0.94/1.16 cnf(t55_funct_1-3, negated_conjecture, ( one_to_one(skolem12) )).
% 0.94/1.16 cnf(t55_funct_1-4, negated_conjecture, ( ( relation_rng(skolem12) != relation_dom(function_inverse(skolem12))) | ( relation_dom(skolem12) != relation_rng(function_inverse(skolem12))) )).
% 0.94/1.16
% 0.94/1.16 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.94/1.16 cnf(t5_subset-1, axiom, ( ~in(_u49, _u48) | ~element(_u48, powerset(_u47)) | ~empty(_u47) )).
% 0.94/1.16
% 0.94/1.16 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.94/1.16 cnf(t6_boole-1, axiom, ( ~empty(_u50) | ( _u50 = empty_set) )).
% 0.94/1.16
% 0.94/1.16 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.94/1.16 cnf(t7_boole-1, axiom, ( ~in(_u52, _u51) | ~empty(_u51) )).
% 0.94/1.16
% 0.94/1.16 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.94/1.16 cnf(t8_boole-1, axiom, ( ~empty(_u54) | ( _u54 = _u53) | ~empty(_u53) )).
% 0.94/1.16
% 0.94/1.16 % Problem matrix:
% 0.94/1.16 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.94/1.16 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.94/1.16 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.94/1.16 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( function_inverse(__eqx_0) = function_inverse(__eqy_0)) )).
% 0.94/1.16 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( relation_inverse(__eqx_0) = relation_inverse(__eqy_0)) )).
% 0.94/1.16 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 0.94/1.16 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( relation_dom(__eqx_0) = relation_dom(__eqy_0)) )).
% 0.94/1.16 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( relation_rng(__eqx_0) = relation_rng(__eqy_0)) )).
% 0.94/1.16 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.94/1.16 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.94/1.16 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skolem8(__eqx_0) = skolem8(__eqy_0)) )).
% 0.94/1.16 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.94/1.16 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.94/1.16 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 0.94/1.16 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.94/1.16 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~one_to_one(__eqx_0) | one_to_one(__eqy_0) )).
% 0.94/1.16 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.94/1.16 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~relation_empty_yielding(__eqx_0) | relation_empty_yielding(__eqy_0) )).
% 0.94/1.16 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.94/1.16 cnf(matrix-19, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.94/1.16 cnf(matrix-20, plain, ( ~empty(_u2) | function(_u2) )).
% 0.94/1.16 cnf(matrix-21, plain, ( ~empty(_u3) | relation(_u3) )).
% 0.94/1.16 cnf(matrix-22, plain, ( ~relation(_u4) | ~empty(_u4) | ~function(_u4) | one_to_one(_u4) )).
% 0.94/1.16 cnf(matrix-23, plain, ( ~relation(_u5) | ~function(_u5) | ~one_to_one(_u5) | ( function_inverse(_u5) = relation_inverse(_u5)) )).
% 0.94/1.16 cnf(matrix-24, plain, ( ~relation(_u6) | ~function(_u6) | relation(function_inverse(_u6)) )).
% 0.94/1.16 cnf(matrix-25, plain, ( ~relation(_u6) | ~function(_u6) | function(function_inverse(_u6)) )).
% 0.94/1.16 cnf(matrix-26, plain, ( ~relation(_u7) | relation(relation_inverse(_u7)) )).
% 0.94/1.16 cnf(matrix-27, plain, ( element(skolem1(_u9), _u9) )).
% 0.94/1.16 cnf(matrix-28, plain, ( ~empty(_u10) | empty(relation_inverse(_u10)) )).
% 0.94/1.16 cnf(matrix-29, plain, ( ~empty(_u10) | relation(relation_inverse(_u10)) )).
% 0.94/1.16 cnf(matrix-30, plain, ( empty(empty_set) )).
% 0.94/1.16 cnf(matrix-31, plain, ( relation(empty_set) )).
% 0.94/1.16 cnf(matrix-32, plain, ( relation_empty_yielding(empty_set) )).
% 0.94/1.16 cnf(matrix-33, plain, ( ~empty(powerset(_u11)) )).
% 0.94/1.16 cnf(matrix-34, plain, ( empty(empty_set) )).
% 0.94/1.16 cnf(matrix-35, plain, ( ~relation(_u12) | ~function(_u12) | ~one_to_one(_u12) | relation(relation_inverse(_u12)) )).
% 0.94/1.16 cnf(matrix-36, plain, ( ~relation(_u12) | ~function(_u12) | ~one_to_one(_u12) | function(relation_inverse(_u12)) )).
% 0.94/1.16 cnf(matrix-37, plain, ( empty(empty_set) )).
% 0.94/1.16 cnf(matrix-38, plain, ( relation(empty_set) )).
% 0.94/1.16 cnf(matrix-39, plain, ( empty(_u13) | ~relation(_u13) | ~empty(relation_dom(_u13)) )).
% 0.94/1.16 cnf(matrix-40, plain, ( empty(_u14) | ~relation(_u14) | ~empty(relation_rng(_u14)) )).
% 0.94/1.16 cnf(matrix-41, plain, ( ~empty(_u15) | empty(relation_dom(_u15)) )).
% 0.94/1.16 cnf(matrix-42, plain, ( ~empty(_u15) | relation(relation_dom(_u15)) )).
% 0.94/1.16 cnf(matrix-43, plain, ( ~empty(_u16) | empty(relation_rng(_u16)) )).
% 0.94/1.16 cnf(matrix-44, plain, ( ~empty(_u16) | relation(relation_rng(_u16)) )).
% 0.94/1.16 cnf(matrix-45, plain, ( ~relation(_u17) | ( relation_inverse(relation_inverse(_u17)) = _u17) )).
% 0.94/1.16 cnf(matrix-46, plain, ( relation(skolem2) )).
% 0.94/1.16 cnf(matrix-47, plain, ( function(skolem2) )).
% 0.94/1.16 cnf(matrix-48, plain, ( empty(skolem3) )).
% 0.94/1.16 cnf(matrix-49, plain, ( relation(skolem3) )).
% 0.94/1.16 cnf(matrix-50, plain, ( empty(_u21) | element(skolem4(_u21), powerset(_u21)) )).
% 0.94/1.16 cnf(matrix-51, plain, ( empty(_u21) | ~empty(skolem4(_u21)) )).
% 0.94/1.16 cnf(matrix-52, plain, ( empty(skolem5) )).
% 0.94/1.16 cnf(matrix-53, plain, ( relation(skolem6) )).
% 0.94/1.16 cnf(matrix-54, plain, ( empty(skolem6) )).
% 0.94/1.16 cnf(matrix-55, plain, ( function(skolem6) )).
% 0.94/1.16 cnf(matrix-56, plain, ( ~empty(skolem7) )).
% 0.94/1.16 cnf(matrix-57, plain, ( relation(skolem7) )).
% 0.94/1.16 cnf(matrix-58, plain, ( element(skolem8(_u26), powerset(_u26)) )).
% 0.94/1.16 cnf(matrix-59, plain, ( empty(skolem8(_u26)) )).
% 0.94/1.16 cnf(matrix-60, plain, ( ~empty(skolem9) )).
% 0.94/1.16 cnf(matrix-61, plain, ( relation(skolem10) )).
% 0.94/1.16 cnf(matrix-62, plain, ( function(skolem10) )).
% 0.94/1.16 cnf(matrix-63, plain, ( one_to_one(skolem10) )).
% 0.94/1.16 cnf(matrix-64, plain, ( relation(skolem11) )).
% 0.94/1.16 cnf(matrix-65, plain, ( relation_empty_yielding(skolem11) )).
% 0.94/1.16 cnf(matrix-66, plain, ( subset(_u31, _u31) )).
% 0.94/1.16 cnf(matrix-67, plain, ( ~in(_u33, _u32) | element(_u33, _u32) )).
% 0.94/1.16 cnf(matrix-68, plain, ( ~element(_u35, _u34) | empty(_u34) | in(_u35, _u34) )).
% 0.94/1.16 cnf(matrix-69, plain, ( ~relation(_u36) | ( relation_rng(_u36) = relation_dom(relation_inverse(_u36))) )).
% 0.94/1.16 cnf(matrix-70, plain, ( ~relation(_u36) | ( relation_dom(_u36) = relation_rng(relation_inverse(_u36))) )).
% 0.94/1.16 cnf(matrix-71, plain, ( ~element(_u41, powerset(_u39)) | subset(_u41, _u39) )).
% 0.94/1.16 cnf(matrix-72, plain, ( ~subset(_u42, _u40) | element(_u42, powerset(_u40)) )).
% 0.94/1.16 cnf(matrix-73, plain, ( ~in(_u45, _u44) | ~element(_u44, powerset(_u43)) | element(_u45, _u43) )).
% 0.94/1.16 cnf(matrix-74, plain, ( relation(skolem12) )).
% 0.94/1.16 cnf(matrix-75, plain, ( function(skolem12) )).
% 0.94/1.16 cnf(matrix-76, plain, ( one_to_one(skolem12) )).
% 0.94/1.16 cnf(matrix-77, plain, ( ( relation_rng(skolem12) != relation_dom(function_inverse(skolem12))) | ( relation_dom(skolem12) != relation_rng(function_inverse(skolem12))) )).
% 0.94/1.16 cnf(matrix-78, plain, ( ~in(_u49, _u48) | ~element(_u48, powerset(_u47)) | ~empty(_u47) )).
% 0.94/1.16 cnf(matrix-79, plain, ( ~empty(_u50) | ( _u50 = empty_set) )).
% 0.94/1.16 cnf(matrix-80, plain, ( ~in(_u52, _u51) | ~empty(_u51) )).
% 0.94/1.16 cnf(matrix-81, plain, ( ~empty(_u54) | ( _u54 = _u53) | ~empty(_u53) )).
% 0.94/1.16
% 0.94/1.16 % Proof stack:
% 0.94/1.16 cnf(proof-stack, plain,
% 0.94/1.16 proof_stack(
% 0.94/1.16 start(77),
% 0.94/1.16 left_branch(0, 2, 2, 2),
% 0.94/1.16 left_branch(0, 69, 1, 3),
% 0.94/1.16 left_branch(0, 74, 0, 4),
% 0.94/1.16 right_branch(4),
% 0.94/1.16 right_branch(3),
% 0.94/1.16 left_branch(0, 6, 1, 4),
% 0.94/1.16 left_branch(0, 1, 1, 5),
% 0.94/1.16 left_branch(0, 23, 3, 6),
% 0.94/1.16 left_branch(0, 74, 0, 7),
% 0.94/1.16 right_branch(7),
% 0.94/1.16 left_branch(0, 76, 0, 8),
% 0.94/1.16 right_branch(8),
% 0.94/1.16 left_branch(0, 75, 0, 9),
% 0.94/1.16 right_branch(9),
% 0.94/1.16 right_branch(6),
% 0.94/1.16 right_branch(5),
% 0.94/1.16 right_branch(4),
% 0.94/1.16 right_branch(2),
% 0.94/1.16 left_branch(0, 2, 2, 3),
% 0.94/1.16 left_branch(0, 70, 1, 4),
% 0.94/1.16 left_branch(0, 74, 0, 5),
% 0.94/1.16 right_branch(5),
% 0.94/1.16 right_branch(4),
% 0.94/1.16 left_branch(0, 7, 1, 5),
% 0.94/1.16 left_branch(0, 1, 1, 6),
% 0.94/1.16 left_branch(0, 23, 3, 7),
% 0.94/1.16 left_branch(0, 74, 0, 8),
% 0.94/1.16 right_branch(8),
% 0.94/1.16 left_branch(0, 76, 0, 9),
% 0.94/1.16 right_branch(9),
% 0.94/1.16 left_branch(0, 75, 0, 10),
% 0.94/1.16 right_branch(10),
% 0.94/1.16 right_branch(7),
% 0.94/1.16 right_branch(6),
% 0.94/1.16 right_branch(5),
% 0.94/1.16 right_branch(3)
% 0.94/1.16 )).
% 0.94/1.16 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------