TSTP Solution File: SEU194+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU194+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n014.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 14:33:31 EDT 2024
% Result : Theorem 75.37s 75.54s
% Output : Proof 75.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU194+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Mar 20 15:02:15 EDT 2024
% 0.12/0.34 % CPUTime :
% 75.37/75.54 % SZS status Theorem for theBenchmark
% 75.37/75.54 % SZS output start Proof for theBenchmark
% 75.37/75.54
% 75.37/75.54 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 75.37/75.54 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 75.37/75.54
% 75.37/75.54 % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(cc1_relat_1-1, axiom, ( ~empty(_u2) | relation(_u2) )).
% 75.37/75.54
% 75.37/75.54 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u4, _u3) = set_intersection2(_u3, _u4)) )).
% 75.37/75.54
% 75.37/75.54 % Formula: d3_xboole_0 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(d3_xboole_0-1, axiom, ( ( _u14 != set_intersection2(_u18, _u16)) | ~in(_u10, _u14) | in(_u10, _u18) )).
% 75.37/75.54 cnf(d3_xboole_0-2, axiom, ( ( _u14 != set_intersection2(_u18, _u16)) | ~in(_u10, _u14) | in(_u10, _u16) )).
% 75.37/75.54 cnf(d3_xboole_0-3, axiom, ( ( _u14 != set_intersection2(_u18, _u16)) | ~in(_u11, _u18) | ~in(_u11, _u16) | in(_u11, _u14) )).
% 75.37/75.54 cnf(d3_xboole_0-4, axiom, ( ( _u15 = set_intersection2(_u19, _u17)) | in(skolem1(_u19, _u17, _u15), _u15) | in(skolem2(_u19, _u17, _u15), _u19) )).
% 75.37/75.54 cnf(d3_xboole_0-5, axiom, ( ( _u15 = set_intersection2(_u19, _u17)) | in(skolem1(_u19, _u17, _u15), _u15) | in(skolem2(_u19, _u17, _u15), _u17) )).
% 75.37/75.54 cnf(d3_xboole_0-6, axiom, ( ( _u15 = set_intersection2(_u19, _u17)) | in(skolem1(_u19, _u17, _u15), _u15) | ~in(skolem2(_u19, _u17, _u15), _u15) )).
% 75.37/75.54 cnf(d3_xboole_0-7, axiom, ( ( _u15 = set_intersection2(_u19, _u17)) | ~in(skolem1(_u19, _u17, _u15), _u19) | ~in(skolem1(_u19, _u17, _u15), _u17) | in(skolem2(_u19, _u17, _u15), _u19) )).
% 75.37/75.54 cnf(d3_xboole_0-8, axiom, ( ( _u15 = set_intersection2(_u19, _u17)) | ~in(skolem1(_u19, _u17, _u15), _u19) | ~in(skolem1(_u19, _u17, _u15), _u17) | in(skolem2(_u19, _u17, _u15), _u17) )).
% 75.37/75.54 cnf(d3_xboole_0-9, axiom, ( ( _u15 = set_intersection2(_u19, _u17)) | ~in(skolem1(_u19, _u17, _u15), _u19) | ~in(skolem1(_u19, _u17, _u15), _u17) | ~in(skolem2(_u19, _u17, _u15), _u15) )).
% 75.37/75.54
% 75.37/75.54 % Formula: dt_k1_relat_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(dt_k1_relat_1, axiom, $true).
% 75.37/75.54
% 75.37/75.54 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(dt_k1_xboole_0, axiom, $true).
% 75.37/75.54
% 75.37/75.54 % Formula: dt_k3_xboole_0 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(dt_k3_xboole_0, axiom, $true).
% 75.37/75.54
% 75.37/75.54 % Formula: dt_k7_relat_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(dt_k7_relat_1-1, axiom, ( ~relation(_u21) | relation(relation_dom_restriction(_u21, _u20)) )).
% 75.37/75.54
% 75.37/75.54 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(dt_m1_subset_1, axiom, $true).
% 75.37/75.54
% 75.37/75.54 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(existence_m1_subset_1-1, axiom, ( element(skolem3(_u23), _u23) )).
% 75.37/75.54
% 75.37/75.54 % Formula: fc1_relat_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(fc1_relat_1-1, axiom, ( ~relation(_u25) | ~relation(_u24) | relation(set_intersection2(_u25, _u24)) )).
% 75.37/75.54
% 75.37/75.54 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 75.37/75.54
% 75.37/75.54 % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(fc4_relat_1-1, axiom, ( empty(empty_set) )).
% 75.37/75.54 cnf(fc4_relat_1-2, axiom, ( relation(empty_set) )).
% 75.37/75.54
% 75.37/75.54 % Formula: fc5_relat_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(fc5_relat_1-1, axiom, ( empty(_u26) | ~relation(_u26) | ~empty(relation_dom(_u26)) )).
% 75.37/75.54
% 75.37/75.54 % Formula: fc7_relat_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(fc7_relat_1-1, axiom, ( ~empty(_u27) | empty(relation_dom(_u27)) )).
% 75.37/75.54 cnf(fc7_relat_1-2, axiom, ( ~empty(_u27) | relation(relation_dom(_u27)) )).
% 75.37/75.54
% 75.37/75.54 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u29, _u29) = _u29) )).
% 75.37/75.54
% 75.37/75.54 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(rc1_relat_1-1, axiom, ( empty(skolem4) )).
% 75.37/75.54 cnf(rc1_relat_1-2, axiom, ( relation(skolem4) )).
% 75.37/75.54
% 75.37/75.54 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(rc1_xboole_0-1, axiom, ( empty(skolem5) )).
% 75.37/75.54
% 75.37/75.54 % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(rc2_relat_1-1, axiom, ( ~empty(skolem6) )).
% 75.37/75.54 cnf(rc2_relat_1-2, axiom, ( relation(skolem6) )).
% 75.37/75.54
% 75.37/75.54 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem7) )).
% 75.37/75.54
% 75.37/75.54 % Formula: t1_subset ( axiom ) converted to clauses:
% 75.37/75.54 cnf(t1_subset-1, axiom, ( ~in(_u35, _u34) | element(_u35, _u34) )).
% 75.37/75.54
% 75.37/75.54 % Formula: t2_boole ( axiom ) converted to clauses:
% 75.37/75.54 cnf(t2_boole-1, axiom, ( ( set_intersection2(_u36, empty_set) = empty_set) )).
% 75.37/75.54
% 75.37/75.54 % Formula: t2_subset ( axiom ) converted to clauses:
% 75.37/75.54 cnf(t2_subset-1, axiom, ( ~element(_u38, _u37) | empty(_u37) | in(_u38, _u37) )).
% 75.37/75.54
% 75.37/75.54 % Formula: t2_tarski ( axiom ) converted to clauses:
% 75.37/75.54 cnf(t2_tarski-1, axiom, ( ( _u41 = _u40) | in(skolem8(_u41, _u40), _u41) | in(skolem9(_u41, _u40), _u40) )).
% 75.37/75.54 cnf(t2_tarski-2, axiom, ( ( _u41 = _u40) | in(skolem8(_u41, _u40), _u41) | ~in(skolem9(_u41, _u40), _u41) )).
% 75.37/75.54 cnf(t2_tarski-3, axiom, ( ( _u41 = _u40) | ~in(skolem8(_u41, _u40), _u40) | in(skolem9(_u41, _u40), _u40) )).
% 75.37/75.54 cnf(t2_tarski-4, axiom, ( ( _u41 = _u40) | ~in(skolem8(_u41, _u40), _u40) | ~in(skolem9(_u41, _u40), _u41) )).
% 75.37/75.54
% 75.37/75.54 % Formula: t6_boole ( axiom ) converted to clauses:
% 75.37/75.54 cnf(t6_boole-1, axiom, ( ~empty(_u44) | ( _u44 = empty_set) )).
% 75.37/75.54
% 75.37/75.54 % Formula: t7_boole ( axiom ) converted to clauses:
% 75.37/75.54 cnf(t7_boole-1, axiom, ( ~in(_u46, _u45) | ~empty(_u45) )).
% 75.37/75.54
% 75.37/75.54 % Formula: t86_relat_1 ( axiom ) converted to clauses:
% 75.37/75.54 cnf(t86_relat_1-1, axiom, ( ~relation(_u47) | ~in(_u49, relation_dom(relation_dom_restriction(_u47, _u48))) | in(_u49, _u48) )).
% 75.37/75.54 cnf(t86_relat_1-2, axiom, ( ~relation(_u47) | ~in(_u49, relation_dom(relation_dom_restriction(_u47, _u48))) | in(_u49, relation_dom(_u47)) )).
% 75.37/75.54 cnf(t86_relat_1-3, axiom, ( ~relation(_u47) | ~in(_u49, _u48) | ~in(_u49, relation_dom(_u47)) | in(_u49, relation_dom(relation_dom_restriction(_u47, _u48))) )).
% 75.37/75.54
% 75.37/75.54 % Formula: t8_boole ( axiom ) converted to clauses:
% 75.37/75.54 cnf(t8_boole-1, axiom, ( ~empty(_u51) | ( _u51 = _u50) | ~empty(_u50) )).
% 75.37/75.54
% 75.37/75.54 % Formula: t90_relat_1 ( conjecture ) (definitionally) converted to clauses:
% 75.37/75.54 cnf(t90_relat_1-1, negated_conjecture, ( relation(skolem11) )).
% 75.37/75.54 cnf(t90_relat_1-2, negated_conjecture, ( ( relation_dom(relation_dom_restriction(skolem11, skolem10)) != set_intersection2(relation_dom(skolem11), skolem10)) )).
% 75.37/75.54
% 75.37/75.54 % Problem matrix:
% 75.37/75.54 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 75.37/75.54 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 75.37/75.54 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 75.37/75.54 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 75.37/75.54 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( relation_dom_restriction(__eqx_0, __eqx_1) = relation_dom_restriction(__eqy_0, __eqy_1)) )).
% 75.37/75.54 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( relation_dom(__eqx_0) = relation_dom(__eqy_0)) )).
% 75.37/75.54 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem1(__eqx_0, __eqx_1, __eqx_2) = skolem1(__eqy_0, __eqy_1, __eqy_2)) )).
% 75.37/75.54 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem2(__eqx_0, __eqx_1, __eqx_2) = skolem2(__eqy_0, __eqy_1, __eqy_2)) )).
% 75.37/75.54 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 75.37/75.54 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 75.37/75.54 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 75.37/75.54 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 75.37/75.54 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 75.37/75.54 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 75.37/75.54 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 75.37/75.54 cnf(matrix-15, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 75.37/75.54 cnf(matrix-16, plain, ( ~empty(_u2) | relation(_u2) )).
% 75.37/75.54 cnf(matrix-17, plain, ( ( set_intersection2(_u4, _u3) = set_intersection2(_u3, _u4)) )).
% 75.37/75.54 cnf(matrix-18, plain, ( ( _u14 != set_intersection2(_u18, _u16)) | ~in(_u10, _u14) | in(_u10, _u18) )).
% 75.37/75.54 cnf(matrix-19, plain, ( ( _u14 != set_intersection2(_u18, _u16)) | ~in(_u10, _u14) | in(_u10, _u16) )).
% 75.37/75.54 cnf(matrix-20, plain, ( ( _u14 != set_intersection2(_u18, _u16)) | ~in(_u11, _u18) | ~in(_u11, _u16) | in(_u11, _u14) )).
% 75.37/75.54 cnf(matrix-21, plain, ( ( _u15 = set_intersection2(_u19, _u17)) | in(skolem1(_u19, _u17, _u15), _u15) | in(skolem2(_u19, _u17, _u15), _u19) )).
% 75.37/75.54 cnf(matrix-22, plain, ( ( _u15 = set_intersection2(_u19, _u17)) | in(skolem1(_u19, _u17, _u15), _u15) | in(skolem2(_u19, _u17, _u15), _u17) )).
% 75.37/75.54 cnf(matrix-23, plain, ( ( _u15 = set_intersection2(_u19, _u17)) | in(skolem1(_u19, _u17, _u15), _u15) | ~in(skolem2(_u19, _u17, _u15), _u15) )).
% 75.37/75.54 cnf(matrix-24, plain, ( ( _u15 = set_intersection2(_u19, _u17)) | ~in(skolem1(_u19, _u17, _u15), _u19) | ~in(skolem1(_u19, _u17, _u15), _u17) | in(skolem2(_u19, _u17, _u15), _u19) )).
% 75.37/75.54 cnf(matrix-25, plain, ( ( _u15 = set_intersection2(_u19, _u17)) | ~in(skolem1(_u19, _u17, _u15), _u19) | ~in(skolem1(_u19, _u17, _u15), _u17) | in(skolem2(_u19, _u17, _u15), _u17) )).
% 75.37/75.54 cnf(matrix-26, plain, ( ( _u15 = set_intersection2(_u19, _u17)) | ~in(skolem1(_u19, _u17, _u15), _u19) | ~in(skolem1(_u19, _u17, _u15), _u17) | ~in(skolem2(_u19, _u17, _u15), _u15) )).
% 75.37/75.54 cnf(matrix-27, plain, ( ~relation(_u21) | relation(relation_dom_restriction(_u21, _u20)) )).
% 75.37/75.54 cnf(matrix-28, plain, ( element(skolem3(_u23), _u23) )).
% 75.37/75.54 cnf(matrix-29, plain, ( ~relation(_u25) | ~relation(_u24) | relation(set_intersection2(_u25, _u24)) )).
% 75.37/75.54 cnf(matrix-30, plain, ( empty(empty_set) )).
% 75.37/75.54 cnf(matrix-31, plain, ( empty(empty_set) )).
% 75.37/75.54 cnf(matrix-32, plain, ( relation(empty_set) )).
% 75.37/75.54 cnf(matrix-33, plain, ( empty(_u26) | ~relation(_u26) | ~empty(relation_dom(_u26)) )).
% 75.37/75.54 cnf(matrix-34, plain, ( ~empty(_u27) | empty(relation_dom(_u27)) )).
% 75.37/75.54 cnf(matrix-35, plain, ( ~empty(_u27) | relation(relation_dom(_u27)) )).
% 75.37/75.54 cnf(matrix-36, plain, ( ( set_intersection2(_u29, _u29) = _u29) )).
% 75.37/75.54 cnf(matrix-37, plain, ( empty(skolem4) )).
% 75.37/75.54 cnf(matrix-38, plain, ( relation(skolem4) )).
% 75.37/75.54 cnf(matrix-39, plain, ( empty(skolem5) )).
% 75.37/75.54 cnf(matrix-40, plain, ( ~empty(skolem6) )).
% 75.37/75.54 cnf(matrix-41, plain, ( relation(skolem6) )).
% 75.37/75.54 cnf(matrix-42, plain, ( ~empty(skolem7) )).
% 75.37/75.54 cnf(matrix-43, plain, ( ~in(_u35, _u34) | element(_u35, _u34) )).
% 75.37/75.54 cnf(matrix-44, plain, ( ( set_intersection2(_u36, empty_set) = empty_set) )).
% 75.37/75.54 cnf(matrix-45, plain, ( ~element(_u38, _u37) | empty(_u37) | in(_u38, _u37) )).
% 75.37/75.54 cnf(matrix-46, plain, ( ( _u41 = _u40) | in(skolem8(_u41, _u40), _u41) | in(skolem9(_u41, _u40), _u40) )).
% 75.37/75.54 cnf(matrix-47, plain, ( ( _u41 = _u40) | in(skolem8(_u41, _u40), _u41) | ~in(skolem9(_u41, _u40), _u41) )).
% 75.37/75.54 cnf(matrix-48, plain, ( ( _u41 = _u40) | ~in(skolem8(_u41, _u40), _u40) | in(skolem9(_u41, _u40), _u40) )).
% 75.37/75.54 cnf(matrix-49, plain, ( ( _u41 = _u40) | ~in(skolem8(_u41, _u40), _u40) | ~in(skolem9(_u41, _u40), _u41) )).
% 75.37/75.54 cnf(matrix-50, plain, ( ~empty(_u44) | ( _u44 = empty_set) )).
% 75.37/75.54 cnf(matrix-51, plain, ( ~in(_u46, _u45) | ~empty(_u45) )).
% 75.37/75.54 cnf(matrix-52, plain, ( ~relation(_u47) | ~in(_u49, relation_dom(relation_dom_restriction(_u47, _u48))) | in(_u49, _u48) )).
% 75.37/75.54 cnf(matrix-53, plain, ( ~relation(_u47) | ~in(_u49, relation_dom(relation_dom_restriction(_u47, _u48))) | in(_u49, relation_dom(_u47)) )).
% 75.37/75.54 cnf(matrix-54, plain, ( ~relation(_u47) | ~in(_u49, _u48) | ~in(_u49, relation_dom(_u47)) | in(_u49, relation_dom(relation_dom_restriction(_u47, _u48))) )).
% 75.37/75.54 cnf(matrix-55, plain, ( ~empty(_u51) | ( _u51 = _u50) | ~empty(_u50) )).
% 75.37/75.54 cnf(matrix-56, plain, ( relation(skolem11) )).
% 75.37/75.54 cnf(matrix-57, plain, ( ( relation_dom(relation_dom_restriction(skolem11, skolem10)) != set_intersection2(relation_dom(skolem11), skolem10)) )).
% 75.37/75.54
% 75.37/75.54 % Proof stack:
% 75.37/75.54 cnf(proof-stack, plain,
% 75.37/75.54 proof_stack(
% 75.37/75.54 start(57),
% 75.37/75.54 left_branch(0, 26, 0, 2),
% 75.37/75.54 left_branch(0, 54, 3, 3),
% 75.37/75.54 left_branch(0, 56, 0, 4),
% 75.37/75.54 right_branch(4),
% 75.37/75.54 left_branch(0, 24, 3, 5),
% 75.37/75.54 reduction(0, 0),
% 75.37/75.54 left_branch(0, 52, 2, 7),
% 75.37/75.54 left_branch(0, 56, 0, 8),
% 75.37/75.54 right_branch(8),
% 75.37/75.54 left_branch(0, 21, 1, 9),
% 75.37/75.54 lemmata(0, 1),
% 75.37/75.54 reduction(0, 2),
% 75.37/75.54 right_branch(9),
% 75.37/75.54 right_branch(7),
% 75.37/75.54 left_branch(0, 53, 2, 8),
% 75.37/75.54 lemmata(0, 0),
% 75.37/75.54 left_branch(0, 21, 1, 10),
% 75.37/75.54 lemmata(0, 1),
% 75.37/75.54 reduction(0, 2),
% 75.37/75.54 right_branch(10),
% 75.37/75.54 right_branch(8),
% 75.37/75.54 right_branch(5),
% 75.37/75.54 left_branch(0, 25, 3, 6),
% 75.37/75.54 reduction(0, 0),
% 75.37/75.54 left_branch(0, 52, 2, 8),
% 75.37/75.54 left_branch(0, 56, 0, 9),
% 75.37/75.54 right_branch(9),
% 75.37/75.54 left_branch(0, 22, 1, 10),
% 75.37/75.54 lemmata(0, 2),
% 75.37/75.54 reduction(0, 2),
% 75.37/75.54 right_branch(10),
% 75.37/75.54 right_branch(8),
% 75.37/75.54 left_branch(0, 53, 2, 9),
% 75.37/75.54 lemmata(0, 0),
% 75.37/75.54 left_branch(0, 22, 1, 11),
% 75.37/75.54 lemmata(0, 2),
% 75.37/75.54 reduction(0, 2),
% 75.37/75.54 right_branch(11),
% 75.37/75.54 right_branch(9),
% 75.37/75.54 right_branch(6),
% 75.37/75.54 right_branch(3),
% 75.37/75.54 left_branch(0, 52, 2, 4),
% 75.37/75.54 left_branch(0, 56, 0, 5),
% 75.37/75.54 right_branch(5),
% 75.37/75.54 left_branch(0, 23, 1, 6),
% 75.37/75.54 reduction(0, 0),
% 75.37/75.54 lemmata(0, 0),
% 75.37/75.54 right_branch(6),
% 75.37/75.54 right_branch(4),
% 75.37/75.54 left_branch(0, 53, 2, 5),
% 75.37/75.54 left_branch(0, 56, 0, 6),
% 75.37/75.54 right_branch(6),
% 75.37/75.54 left_branch(0, 23, 1, 7),
% 75.37/75.54 reduction(0, 0),
% 75.37/75.54 lemmata(0, 0),
% 75.37/75.54 right_branch(7),
% 75.37/75.54 right_branch(5),
% 75.37/75.54 right_branch(2)
% 75.37/75.54 )).
% 75.37/75.54 % SZS output end Proof for theBenchmark
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