TSTP Solution File: SEU010+1 by ConnectPP---0.2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : SEU010+1 : 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 : 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 : Wed Mar  6 09:20:07 EST 2024

% Result   : Theorem 0.19s 0.36s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU010+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Mar  3 10:40:33 EST 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.36  % SZS status Theorem for theBenchmark
% 0.19/0.36  % SZS output start Proof for theBenchmark
% 0.19/0.36  
% 0.19/0.36  % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.19/0.36  cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc4_relat_1-1, axiom, ( empty(empty_set) )).
% 0.19/0.36  cnf(fc4_relat_1-2, axiom, ( relation(empty_set) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc12_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc12_relat_1-1, axiom, ( empty(empty_set) )).
% 0.19/0.36  cnf(fc12_relat_1-2, axiom, ( relation(empty_set) )).
% 0.19/0.36  cnf(fc12_relat_1-3, axiom, ( relation_empty_yielding(empty_set) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t1_subset ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t1_subset-1, axiom, ( ~in(_u3, _u2) | element(_u3, _u2) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t4_subset ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t4_subset-1, axiom, ( ~in(_u6, _u5) | ~element(_u5, powerset(_u4)) | element(_u6, _u4) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t5_subset ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t5_subset-1, axiom, ( ~in(_u9, _u8) | ~element(_u8, powerset(_u7)) | ~empty(_u7) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(existence_m1_subset_1-1, axiom, ( element(skolem1(_u11), _u11) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(cc1_funct_1-1, axiom, ( ~empty(_u12) | function(_u12) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u13)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc5_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc5_relat_1-1, axiom, ( empty(_u14) | ~relation(_u14) | ~empty(relation_dom(_u14)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc6_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc6_relat_1-1, axiom, ( empty(_u15) | ~relation(_u15) | ~empty(relation_rng(_u15)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc7_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc7_relat_1-1, axiom, ( ~empty(_u16) | empty(relation_dom(_u16)) )).
% 0.19/0.36  cnf(fc7_relat_1-2, axiom, ( ~empty(_u16) | relation(relation_dom(_u16)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc8_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc8_relat_1-1, axiom, ( ~empty(_u17) | empty(relation_rng(_u17)) )).
% 0.19/0.36  cnf(fc8_relat_1-2, axiom, ( ~empty(_u17) | relation(relation_rng(_u17)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc9_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc9_relat_1-1, axiom, ( ~empty(_u19) | ~relation(_u18) | empty(relation_composition(_u19, _u18)) )).
% 0.19/0.36  cnf(fc9_relat_1-2, axiom, ( ~empty(_u19) | ~relation(_u18) | relation(relation_composition(_u19, _u18)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc10_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc10_relat_1-1, axiom, ( ~empty(_u21) | ~relation(_u20) | empty(relation_composition(_u20, _u21)) )).
% 0.19/0.36  cnf(fc10_relat_1-2, axiom, ( ~empty(_u21) | ~relation(_u20) | relation(relation_composition(_u20, _u21)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(cc1_relat_1-1, axiom, ( ~empty(_u22) | relation(_u22) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t2_subset ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t2_subset-1, axiom, ( ~element(_u24, _u23) | empty(_u23) | in(_u24, _u23) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t6_boole ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t6_boole-1, axiom, ( ~empty(_u25) | ( _u25 = empty_set) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t7_boole ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t7_boole-1, axiom, ( ~in(_u27, _u26) | ~empty(_u26) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t8_boole ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t8_boole-1, axiom, ( ~empty(_u29) | ( _u29 = _u28) | ~empty(_u28) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.19/0.36  cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u31, _u31) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k5_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(dt_k5_relat_1-1, axiom, ( ~relation(_u33) | ~relation(_u32) | relation(relation_composition(_u33, _u32)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: dt_k6_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(dt_k6_relat_1-1, axiom, ( relation(identity_relation(_u34)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc1_funct_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc1_funct_1-1, axiom, ( ~relation(_u36) | ~function(_u36) | ~relation(_u35) | ~function(_u35) | relation(relation_composition(_u36, _u35)) )).
% 0.19/0.36  cnf(fc1_funct_1-2, axiom, ( ~relation(_u36) | ~function(_u36) | ~relation(_u35) | ~function(_u35) | function(relation_composition(_u36, _u35)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: fc2_funct_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(fc2_funct_1-1, axiom, ( relation(identity_relation(_u38)) )).
% 0.19/0.36  cnf(fc2_funct_1-2, axiom, ( function(identity_relation(_u39)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc1_funct_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc1_funct_1-1, axiom, ( relation(skolem2) )).
% 0.19/0.36  cnf(rc1_funct_1-2, axiom, ( function(skolem2) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc1_subset_1-1, axiom, ( empty(_u42) | element(skolem3(_u42), powerset(_u42)) )).
% 0.19/0.36  cnf(rc1_subset_1-2, axiom, ( empty(_u42) | ~empty(skolem3(_u42)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc2_subset_1-1, axiom, ( element(skolem4(_u44), powerset(_u44)) )).
% 0.19/0.36  cnf(rc2_subset_1-2, axiom, ( empty(skolem4(_u44)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc1_relat_1-1, axiom, ( empty(skolem5) )).
% 0.19/0.36  cnf(rc1_relat_1-2, axiom, ( relation(skolem5) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc2_relat_1-1, axiom, ( ~empty(skolem6) )).
% 0.19/0.36  cnf(rc2_relat_1-2, axiom, ( relation(skolem6) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc3_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc3_relat_1-1, axiom, ( relation(skolem7) )).
% 0.19/0.36  cnf(rc3_relat_1-2, axiom, ( relation_empty_yielding(skolem7) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc1_xboole_0-1, axiom, ( empty(skolem8) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem9) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t3_subset ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t3_subset-1, axiom, ( ~element(_u54, powerset(_u52)) | subset(_u54, _u52) )).
% 0.19/0.36  cnf(t3_subset-2, axiom, ( ~subset(_u55, _u53) | element(_u55, powerset(_u53)) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t42_funct_1 ( conjecture ) converted to clauses:
% 0.19/0.36  cnf(t42_funct_1-1, negated_conjecture, ( relation(skolem10) )).
% 0.19/0.36  cnf(t42_funct_1-2, negated_conjecture, ( function(skolem10) )).
% 0.19/0.36  cnf(t42_funct_1-3, negated_conjecture, ( ( relation_composition(identity_relation(relation_dom(skolem10)), skolem10) != skolem10) | ( relation_composition(skolem10, identity_relation(relation_rng(skolem10))) != skolem10) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t77_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t77_relat_1-1, axiom, ( ~relation(_u57) | ~subset(relation_dom(_u57), _u58) | ( relation_composition(identity_relation(_u58), _u57) = _u57) )).
% 0.19/0.36  
% 0.19/0.36  % Formula: t79_relat_1 ( axiom ) converted to clauses:
% 0.19/0.36  cnf(t79_relat_1-1, axiom, ( ~relation(_u59) | ~subset(relation_rng(_u59), _u60) | ( relation_composition(_u59, identity_relation(_u60)) = _u59) )).
% 0.19/0.36  
% 0.19/0.36  % Problem matrix:
% 0.19/0.36  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.36  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.36  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.36  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( relation_dom(__eqx_0) = relation_dom(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( relation_rng(__eqx_0) = relation_rng(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( relation_composition(__eqx_0, __eqx_1) = relation_composition(__eqy_0, __eqy_1)) )).
% 0.19/0.36  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( identity_relation(__eqx_0) = identity_relation(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.19/0.36  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.19/0.36  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.19/0.36  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.19/0.36  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~relation_empty_yielding(__eqx_0) | relation_empty_yielding(__eqy_0) )).
% 0.19/0.36  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.19/0.36  cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 0.19/0.36  cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.19/0.36  cnf(matrix-18, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.19/0.36  cnf(matrix-19, plain, ( empty(empty_set) )).
% 0.19/0.36  cnf(matrix-20, plain, ( relation(empty_set) )).
% 0.19/0.36  cnf(matrix-21, plain, ( empty(empty_set) )).
% 0.19/0.36  cnf(matrix-22, plain, ( relation(empty_set) )).
% 0.19/0.36  cnf(matrix-23, plain, ( relation_empty_yielding(empty_set) )).
% 0.19/0.36  cnf(matrix-24, plain, ( empty(empty_set) )).
% 0.19/0.36  cnf(matrix-25, plain, ( ~in(_u3, _u2) | element(_u3, _u2) )).
% 0.19/0.36  cnf(matrix-26, plain, ( ~in(_u6, _u5) | ~element(_u5, powerset(_u4)) | element(_u6, _u4) )).
% 0.19/0.36  cnf(matrix-27, plain, ( ~in(_u9, _u8) | ~element(_u8, powerset(_u7)) | ~empty(_u7) )).
% 0.19/0.36  cnf(matrix-28, plain, ( element(skolem1(_u11), _u11) )).
% 0.19/0.36  cnf(matrix-29, plain, ( ~empty(_u12) | function(_u12) )).
% 0.19/0.36  cnf(matrix-30, plain, ( ~empty(powerset(_u13)) )).
% 0.19/0.36  cnf(matrix-31, plain, ( empty(_u14) | ~relation(_u14) | ~empty(relation_dom(_u14)) )).
% 0.19/0.36  cnf(matrix-32, plain, ( empty(_u15) | ~relation(_u15) | ~empty(relation_rng(_u15)) )).
% 0.19/0.36  cnf(matrix-33, plain, ( ~empty(_u16) | empty(relation_dom(_u16)) )).
% 0.19/0.36  cnf(matrix-34, plain, ( ~empty(_u16) | relation(relation_dom(_u16)) )).
% 0.19/0.36  cnf(matrix-35, plain, ( ~empty(_u17) | empty(relation_rng(_u17)) )).
% 0.19/0.36  cnf(matrix-36, plain, ( ~empty(_u17) | relation(relation_rng(_u17)) )).
% 0.19/0.36  cnf(matrix-37, plain, ( ~empty(_u19) | ~relation(_u18) | empty(relation_composition(_u19, _u18)) )).
% 0.19/0.36  cnf(matrix-38, plain, ( ~empty(_u19) | ~relation(_u18) | relation(relation_composition(_u19, _u18)) )).
% 0.19/0.36  cnf(matrix-39, plain, ( ~empty(_u21) | ~relation(_u20) | empty(relation_composition(_u20, _u21)) )).
% 0.19/0.36  cnf(matrix-40, plain, ( ~empty(_u21) | ~relation(_u20) | relation(relation_composition(_u20, _u21)) )).
% 0.19/0.36  cnf(matrix-41, plain, ( ~empty(_u22) | relation(_u22) )).
% 0.19/0.36  cnf(matrix-42, plain, ( ~element(_u24, _u23) | empty(_u23) | in(_u24, _u23) )).
% 0.19/0.36  cnf(matrix-43, plain, ( ~empty(_u25) | ( _u25 = empty_set) )).
% 0.19/0.36  cnf(matrix-44, plain, ( ~in(_u27, _u26) | ~empty(_u26) )).
% 0.19/0.36  cnf(matrix-45, plain, ( ~empty(_u29) | ( _u29 = _u28) | ~empty(_u28) )).
% 0.19/0.36  cnf(matrix-46, plain, ( subset(_u31, _u31) )).
% 0.19/0.36  cnf(matrix-47, plain, ( ~relation(_u33) | ~relation(_u32) | relation(relation_composition(_u33, _u32)) )).
% 0.19/0.36  cnf(matrix-48, plain, ( relation(identity_relation(_u34)) )).
% 0.19/0.36  cnf(matrix-49, plain, ( ~relation(_u36) | ~function(_u36) | ~relation(_u35) | ~function(_u35) | relation(relation_composition(_u36, _u35)) )).
% 0.19/0.36  cnf(matrix-50, plain, ( ~relation(_u36) | ~function(_u36) | ~relation(_u35) | ~function(_u35) | function(relation_composition(_u36, _u35)) )).
% 0.19/0.36  cnf(matrix-51, plain, ( relation(identity_relation(_u38)) )).
% 0.19/0.36  cnf(matrix-52, plain, ( function(identity_relation(_u39)) )).
% 0.19/0.36  cnf(matrix-53, plain, ( relation(skolem2) )).
% 0.19/0.36  cnf(matrix-54, plain, ( function(skolem2) )).
% 0.19/0.36  cnf(matrix-55, plain, ( empty(_u42) | element(skolem3(_u42), powerset(_u42)) )).
% 0.19/0.36  cnf(matrix-56, plain, ( empty(_u42) | ~empty(skolem3(_u42)) )).
% 0.19/0.36  cnf(matrix-57, plain, ( element(skolem4(_u44), powerset(_u44)) )).
% 0.19/0.36  cnf(matrix-58, plain, ( empty(skolem4(_u44)) )).
% 0.19/0.36  cnf(matrix-59, plain, ( empty(skolem5) )).
% 0.19/0.36  cnf(matrix-60, plain, ( relation(skolem5) )).
% 0.19/0.36  cnf(matrix-61, plain, ( ~empty(skolem6) )).
% 0.19/0.36  cnf(matrix-62, plain, ( relation(skolem6) )).
% 0.19/0.36  cnf(matrix-63, plain, ( relation(skolem7) )).
% 0.19/0.36  cnf(matrix-64, plain, ( relation_empty_yielding(skolem7) )).
% 0.19/0.36  cnf(matrix-65, plain, ( empty(skolem8) )).
% 0.19/0.36  cnf(matrix-66, plain, ( ~empty(skolem9) )).
% 0.19/0.36  cnf(matrix-67, plain, ( ~element(_u54, powerset(_u52)) | subset(_u54, _u52) )).
% 0.19/0.36  cnf(matrix-68, plain, ( ~subset(_u55, _u53) | element(_u55, powerset(_u53)) )).
% 0.19/0.36  cnf(matrix-69, plain, ( relation(skolem10) )).
% 0.19/0.36  cnf(matrix-70, plain, ( function(skolem10) )).
% 0.19/0.36  cnf(matrix-71, plain, ( ( relation_composition(identity_relation(relation_dom(skolem10)), skolem10) != skolem10) | ( relation_composition(skolem10, identity_relation(relation_rng(skolem10))) != skolem10) )).
% 0.19/0.36  cnf(matrix-72, plain, ( ~relation(_u57) | ~subset(relation_dom(_u57), _u58) | ( relation_composition(identity_relation(_u58), _u57) = _u57) )).
% 0.19/0.36  cnf(matrix-73, plain, ( ~relation(_u59) | ~subset(relation_rng(_u59), _u60) | ( relation_composition(_u59, identity_relation(_u60)) = _u59) )).
% 0.19/0.36  
% 0.19/0.36  % Proof stack:
% 0.19/0.36  cnf(proof-stack, plain, 
% 0.19/0.36  proof_stack(
% 0.19/0.36  start(71), 
% 0.19/0.36  left_branch(0, 72, 2, 2), 
% 0.19/0.36  left_branch(0, 69, 0, 3), 
% 0.19/0.36  right_branch(3), 
% 0.19/0.36  left_branch(0, 46, 0, 4), 
% 0.19/0.36  right_branch(4), 
% 0.19/0.36  right_branch(2), 
% 0.19/0.36  left_branch(0, 73, 2, 3), 
% 0.19/0.36  left_branch(0, 69, 0, 4), 
% 0.19/0.36  right_branch(4), 
% 0.19/0.36  left_branch(0, 46, 0, 5), 
% 0.19/0.36  right_branch(5), 
% 0.19/0.36  right_branch(3)
% 0.19/0.36  )).
% 0.19/0.36  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------