TSTP Solution File: SEU137+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU137+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 : n028.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 14:33:16 EDT 2024
% Result : Theorem 84.23s 84.46s
% Output : Proof 84.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU137+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.33 % Computer : n028.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 : Wed Mar 20 15:08:08 EDT 2024
% 0.19/0.33 % CPUTime :
% 84.23/84.46 % SZS status Theorem for theBenchmark
% 84.23/84.46 % SZS output start Proof for theBenchmark
% 84.23/84.46
% 84.23/84.46 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 84.23/84.46 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 84.23/84.46
% 84.23/84.46 % Formula: commutativity_k2_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(commutativity_k2_xboole_0-1, axiom, ( ( set_union2(_u3, _u2) = set_union2(_u2, _u3)) )).
% 84.23/84.46
% 84.23/84.46 % Formula: d2_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(d2_xboole_0-1, axiom, ( ( _u13 != set_union2(_u17, _u15)) | ~in(_u9, _u13) | in(_u9, _u17) | in(_u9, _u15) )).
% 84.23/84.46 cnf(d2_xboole_0-2, axiom, ( ( _u13 != set_union2(_u17, _u15)) | in(_u10, _u13) | ~in(_u10, _u17) )).
% 84.23/84.46 cnf(d2_xboole_0-3, axiom, ( ( _u13 != set_union2(_u17, _u15)) | in(_u10, _u13) | ~in(_u10, _u15) )).
% 84.23/84.46 cnf(d2_xboole_0-4, axiom, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) )).
% 84.23/84.46 cnf(d2_xboole_0-5, axiom, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 84.23/84.46 cnf(d2_xboole_0-6, axiom, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) | ~in(skolem1(_u18, _u16, _u14), _u18) )).
% 84.23/84.46 cnf(d2_xboole_0-7, axiom, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) | ~in(skolem1(_u18, _u16, _u14), _u16) )).
% 84.23/84.46 cnf(d2_xboole_0-8, axiom, ( ( _u14 = set_union2(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ~in(skolem1(_u18, _u16, _u14), _u18) )).
% 84.23/84.46 cnf(d2_xboole_0-9, axiom, ( ( _u14 = set_union2(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ~in(skolem1(_u18, _u16, _u14), _u16) )).
% 84.23/84.46
% 84.23/84.46 % Formula: d3_tarski ( axiom ) converted to clauses:
% 84.23/84.46 cnf(d3_tarski-1, axiom, ( ~subset(_u25, _u23) | ~in(_u19, _u25) | in(_u19, _u23) )).
% 84.23/84.46 cnf(d3_tarski-2, axiom, ( subset(_u26, _u24) | in(skolem3(_u26, _u24), _u26) )).
% 84.23/84.46 cnf(d3_tarski-3, axiom, ( subset(_u26, _u24) | ~in(skolem3(_u26, _u24), _u24) )).
% 84.23/84.46
% 84.23/84.46 % Formula: d4_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(d4_xboole_0-1, axiom, ( ( _u36 != set_difference(_u40, _u38)) | ~in(_u32, _u36) | in(_u32, _u40) )).
% 84.23/84.46 cnf(d4_xboole_0-2, axiom, ( ( _u36 != set_difference(_u40, _u38)) | ~in(_u32, _u36) | ~in(_u32, _u38) )).
% 84.23/84.46 cnf(d4_xboole_0-3, axiom, ( ( _u36 != set_difference(_u40, _u38)) | ~in(_u33, _u40) | in(_u33, _u38) | in(_u33, _u36) )).
% 84.23/84.46 cnf(d4_xboole_0-4, axiom, ( ( _u37 = set_difference(_u41, _u39)) | in(skolem4(_u41, _u39, _u37), _u37) | in(skolem5(_u41, _u39, _u37), _u41) )).
% 84.23/84.46 cnf(d4_xboole_0-5, axiom, ( ( _u37 = set_difference(_u41, _u39)) | in(skolem4(_u41, _u39, _u37), _u37) | ~in(skolem5(_u41, _u39, _u37), _u39) )).
% 84.23/84.46 cnf(d4_xboole_0-6, axiom, ( ( _u37 = set_difference(_u41, _u39)) | in(skolem4(_u41, _u39, _u37), _u37) | ~in(skolem5(_u41, _u39, _u37), _u37) )).
% 84.23/84.46 cnf(d4_xboole_0-7, axiom, ( ( _u37 = set_difference(_u41, _u39)) | ~in(skolem4(_u41, _u39, _u37), _u41) | in(skolem4(_u41, _u39, _u37), _u39) | in(skolem5(_u41, _u39, _u37), _u41) )).
% 84.23/84.46 cnf(d4_xboole_0-8, axiom, ( ( _u37 = set_difference(_u41, _u39)) | ~in(skolem4(_u41, _u39, _u37), _u41) | in(skolem4(_u41, _u39, _u37), _u39) | ~in(skolem5(_u41, _u39, _u37), _u39) )).
% 84.23/84.46 cnf(d4_xboole_0-9, axiom, ( ( _u37 = set_difference(_u41, _u39)) | ~in(skolem4(_u41, _u39, _u37), _u41) | in(skolem4(_u41, _u39, _u37), _u39) | ~in(skolem5(_u41, _u39, _u37), _u37) )).
% 84.23/84.46
% 84.23/84.46 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(dt_k1_xboole_0, axiom, $true).
% 84.23/84.46
% 84.23/84.46 % Formula: dt_k2_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(dt_k2_xboole_0, axiom, $true).
% 84.23/84.46
% 84.23/84.46 % Formula: dt_k4_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(dt_k4_xboole_0, axiom, $true).
% 84.23/84.46
% 84.23/84.46 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 84.23/84.46
% 84.23/84.46 % Formula: fc2_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(fc2_xboole_0-1, axiom, ( empty(_u43) | ~empty(set_union2(_u43, _u42)) )).
% 84.23/84.46
% 84.23/84.46 % Formula: fc3_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(fc3_xboole_0-1, axiom, ( empty(_u45) | ~empty(set_union2(_u44, _u45)) )).
% 84.23/84.46
% 84.23/84.46 % Formula: idempotence_k2_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(idempotence_k2_xboole_0-1, axiom, ( ( set_union2(_u47, _u47) = _u47) )).
% 84.23/84.46
% 84.23/84.46 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(rc1_xboole_0-1, axiom, ( empty(skolem6) )).
% 84.23/84.46
% 84.23/84.46 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 84.23/84.46 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem7) )).
% 84.23/84.46
% 84.23/84.46 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 84.23/84.46 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u51, _u51) )).
% 84.23/84.46
% 84.23/84.46 % Formula: t1_boole ( axiom ) converted to clauses:
% 84.23/84.46 cnf(t1_boole-1, axiom, ( ( set_union2(_u52, empty_set) = _u52) )).
% 84.23/84.46
% 84.23/84.46 % Formula: t2_tarski ( axiom ) converted to clauses:
% 84.23/84.46 cnf(t2_tarski-1, axiom, ( ( _u55 = _u54) | in(skolem8(_u55, _u54), _u55) | in(skolem9(_u55, _u54), _u54) )).
% 84.23/84.46 cnf(t2_tarski-2, axiom, ( ( _u55 = _u54) | in(skolem8(_u55, _u54), _u55) | ~in(skolem9(_u55, _u54), _u55) )).
% 84.23/84.46 cnf(t2_tarski-3, axiom, ( ( _u55 = _u54) | ~in(skolem8(_u55, _u54), _u54) | in(skolem9(_u55, _u54), _u54) )).
% 84.23/84.46 cnf(t2_tarski-4, axiom, ( ( _u55 = _u54) | ~in(skolem8(_u55, _u54), _u54) | ~in(skolem9(_u55, _u54), _u55) )).
% 84.23/84.46
% 84.23/84.46 % Formula: t3_boole ( axiom ) converted to clauses:
% 84.23/84.46 cnf(t3_boole-1, axiom, ( ( set_difference(_u58, empty_set) = _u58) )).
% 84.23/84.46
% 84.23/84.46 % Formula: t45_xboole_1 ( conjecture ) (definitionally) converted to clauses:
% 84.23/84.46 cnf(t45_xboole_1-1, negated_conjecture, ( subset(skolem10, skolem11) )).
% 84.23/84.46 cnf(t45_xboole_1-2, negated_conjecture, ( ( skolem11 != set_union2(skolem10, set_difference(skolem11, skolem10))) )).
% 84.23/84.46
% 84.23/84.46 % Formula: t4_boole ( axiom ) converted to clauses:
% 84.23/84.46 cnf(t4_boole-1, axiom, ( ( set_difference(empty_set, _u61) = empty_set) )).
% 84.23/84.46
% 84.23/84.46 % Formula: t6_boole ( axiom ) converted to clauses:
% 84.23/84.46 cnf(t6_boole-1, axiom, ( ~empty(_u62) | ( _u62 = empty_set) )).
% 84.23/84.46
% 84.23/84.46 % Formula: t7_boole ( axiom ) converted to clauses:
% 84.23/84.46 cnf(t7_boole-1, axiom, ( ~in(_u64, _u63) | ~empty(_u63) )).
% 84.23/84.46
% 84.23/84.46 % Formula: t8_boole ( axiom ) converted to clauses:
% 84.23/84.46 cnf(t8_boole-1, axiom, ( ~empty(_u66) | ( _u66 = _u65) | ~empty(_u65) )).
% 84.23/84.46
% 84.23/84.46 % Problem matrix:
% 84.23/84.46 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 84.23/84.46 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 84.23/84.46 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 84.23/84.46 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_union2(__eqx_0, __eqx_1) = set_union2(__eqy_0, __eqy_1)) )).
% 84.23/84.46 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_difference(__eqx_0, __eqx_1) = set_difference(__eqy_0, __eqy_1)) )).
% 84.23/84.46 cnf(matrix-5, 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)) )).
% 84.23/84.46 cnf(matrix-6, 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)) )).
% 84.23/84.46 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 84.23/84.46 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem4(__eqx_0, __eqx_1, __eqx_2) = skolem4(__eqy_0, __eqy_1, __eqy_2)) )).
% 84.23/84.46 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem5(__eqx_0, __eqx_1, __eqx_2) = skolem5(__eqy_0, __eqy_1, __eqy_2)) )).
% 84.23/84.46 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 84.23/84.46 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 84.23/84.46 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 84.23/84.46 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 84.23/84.46 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 84.23/84.46 cnf(matrix-15, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 84.23/84.46 cnf(matrix-16, plain, ( ( set_union2(_u3, _u2) = set_union2(_u2, _u3)) )).
% 84.23/84.46 cnf(matrix-17, plain, ( ( _u13 != set_union2(_u17, _u15)) | ~in(_u9, _u13) | in(_u9, _u17) | in(_u9, _u15) )).
% 84.23/84.46 cnf(matrix-18, plain, ( ( _u13 != set_union2(_u17, _u15)) | in(_u10, _u13) | ~in(_u10, _u17) )).
% 84.23/84.46 cnf(matrix-19, plain, ( ( _u13 != set_union2(_u17, _u15)) | in(_u10, _u13) | ~in(_u10, _u15) )).
% 84.23/84.46 cnf(matrix-20, plain, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) )).
% 84.23/84.46 cnf(matrix-21, plain, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 84.23/84.46 cnf(matrix-22, plain, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) | ~in(skolem1(_u18, _u16, _u14), _u18) )).
% 84.23/84.46 cnf(matrix-23, plain, ( ( _u14 = set_union2(_u18, _u16)) | in(skolem2(_u18, _u16, _u14), _u18) | in(skolem2(_u18, _u16, _u14), _u16) | ~in(skolem1(_u18, _u16, _u14), _u16) )).
% 84.23/84.46 cnf(matrix-24, plain, ( ( _u14 = set_union2(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ~in(skolem1(_u18, _u16, _u14), _u18) )).
% 84.23/84.46 cnf(matrix-25, plain, ( ( _u14 = set_union2(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ~in(skolem1(_u18, _u16, _u14), _u16) )).
% 84.23/84.46 cnf(matrix-26, plain, ( ~subset(_u25, _u23) | ~in(_u19, _u25) | in(_u19, _u23) )).
% 84.23/84.46 cnf(matrix-27, plain, ( subset(_u26, _u24) | in(skolem3(_u26, _u24), _u26) )).
% 84.23/84.46 cnf(matrix-28, plain, ( subset(_u26, _u24) | ~in(skolem3(_u26, _u24), _u24) )).
% 84.23/84.46 cnf(matrix-29, plain, ( ( _u36 != set_difference(_u40, _u38)) | ~in(_u32, _u36) | in(_u32, _u40) )).
% 84.23/84.46 cnf(matrix-30, plain, ( ( _u36 != set_difference(_u40, _u38)) | ~in(_u32, _u36) | ~in(_u32, _u38) )).
% 84.23/84.46 cnf(matrix-31, plain, ( ( _u36 != set_difference(_u40, _u38)) | ~in(_u33, _u40) | in(_u33, _u38) | in(_u33, _u36) )).
% 84.23/84.46 cnf(matrix-32, plain, ( ( _u37 = set_difference(_u41, _u39)) | in(skolem4(_u41, _u39, _u37), _u37) | in(skolem5(_u41, _u39, _u37), _u41) )).
% 84.23/84.46 cnf(matrix-33, plain, ( ( _u37 = set_difference(_u41, _u39)) | in(skolem4(_u41, _u39, _u37), _u37) | ~in(skolem5(_u41, _u39, _u37), _u39) )).
% 84.23/84.46 cnf(matrix-34, plain, ( ( _u37 = set_difference(_u41, _u39)) | in(skolem4(_u41, _u39, _u37), _u37) | ~in(skolem5(_u41, _u39, _u37), _u37) )).
% 84.23/84.46 cnf(matrix-35, plain, ( ( _u37 = set_difference(_u41, _u39)) | ~in(skolem4(_u41, _u39, _u37), _u41) | in(skolem4(_u41, _u39, _u37), _u39) | in(skolem5(_u41, _u39, _u37), _u41) )).
% 84.23/84.46 cnf(matrix-36, plain, ( ( _u37 = set_difference(_u41, _u39)) | ~in(skolem4(_u41, _u39, _u37), _u41) | in(skolem4(_u41, _u39, _u37), _u39) | ~in(skolem5(_u41, _u39, _u37), _u39) )).
% 84.23/84.46 cnf(matrix-37, plain, ( ( _u37 = set_difference(_u41, _u39)) | ~in(skolem4(_u41, _u39, _u37), _u41) | in(skolem4(_u41, _u39, _u37), _u39) | ~in(skolem5(_u41, _u39, _u37), _u37) )).
% 84.23/84.46 cnf(matrix-38, plain, ( empty(empty_set) )).
% 84.23/84.46 cnf(matrix-39, plain, ( empty(_u43) | ~empty(set_union2(_u43, _u42)) )).
% 84.23/84.46 cnf(matrix-40, plain, ( empty(_u45) | ~empty(set_union2(_u44, _u45)) )).
% 84.23/84.46 cnf(matrix-41, plain, ( ( set_union2(_u47, _u47) = _u47) )).
% 84.23/84.46 cnf(matrix-42, plain, ( empty(skolem6) )).
% 84.23/84.46 cnf(matrix-43, plain, ( ~empty(skolem7) )).
% 84.23/84.46 cnf(matrix-44, plain, ( subset(_u51, _u51) )).
% 84.23/84.46 cnf(matrix-45, plain, ( ( set_union2(_u52, empty_set) = _u52) )).
% 84.23/84.46 cnf(matrix-46, plain, ( ( _u55 = _u54) | in(skolem8(_u55, _u54), _u55) | in(skolem9(_u55, _u54), _u54) )).
% 84.23/84.46 cnf(matrix-47, plain, ( ( _u55 = _u54) | in(skolem8(_u55, _u54), _u55) | ~in(skolem9(_u55, _u54), _u55) )).
% 84.23/84.46 cnf(matrix-48, plain, ( ( _u55 = _u54) | ~in(skolem8(_u55, _u54), _u54) | in(skolem9(_u55, _u54), _u54) )).
% 84.23/84.46 cnf(matrix-49, plain, ( ( _u55 = _u54) | ~in(skolem8(_u55, _u54), _u54) | ~in(skolem9(_u55, _u54), _u55) )).
% 84.23/84.46 cnf(matrix-50, plain, ( ( set_difference(_u58, empty_set) = _u58) )).
% 84.23/84.46 cnf(matrix-51, plain, ( subset(skolem10, skolem11) )).
% 84.23/84.46 cnf(matrix-52, plain, ( ( skolem11 != set_union2(skolem10, set_difference(skolem11, skolem10))) )).
% 84.23/84.46 cnf(matrix-53, plain, ( ( set_difference(empty_set, _u61) = empty_set) )).
% 84.23/84.46 cnf(matrix-54, plain, ( ~empty(_u62) | ( _u62 = empty_set) )).
% 84.23/84.46 cnf(matrix-55, plain, ( ~in(_u64, _u63) | ~empty(_u63) )).
% 84.23/84.46 cnf(matrix-56, plain, ( ~empty(_u66) | ( _u66 = _u65) | ~empty(_u65) )).
% 84.23/84.46
% 84.23/84.46 % Proof stack:
% 84.23/84.46 cnf(proof-stack, plain,
% 84.23/84.46 proof_stack(
% 84.23/84.46 start(52),
% 84.23/84.46 left_branch(0, 25, 0, 2),
% 84.23/84.46 left_branch(0, 31, 3, 3),
% 84.23/84.46 left_branch(0, 49, 0, 4),
% 84.23/84.46 left_branch(0, 48, 2, 5),
% 84.23/84.46 reduction(0, 2),
% 84.23/84.46 left_branch(0, 46, 1, 7),
% 84.23/84.46 lemmata(0, 0),
% 84.23/84.46 reduction(0, 3),
% 84.23/84.46 right_branch(7),
% 84.23/84.46 right_branch(5),
% 84.23/84.46 left_branch(0, 47, 1, 6),
% 84.23/84.46 reduction(0, 2),
% 84.23/84.46 lemmata(0, 0),
% 84.23/84.46 right_branch(6),
% 84.23/84.46 right_branch(4),
% 84.23/84.46 left_branch(0, 22, 3, 5),
% 84.23/84.46 reduction(0, 0),
% 84.23/84.46 left_branch(0, 29, 1, 7),
% 84.23/84.46 left_branch(0, 4, 2, 8),
% 84.23/84.46 left_branch(0, 0, 0, 9),
% 84.23/84.46 right_branch(9),
% 84.23/84.46 left_branch(0, 0, 0, 10),
% 84.23/84.46 right_branch(10),
% 84.23/84.46 right_branch(8),
% 84.23/84.46 left_branch(0, 24, 1, 9),
% 84.23/84.46 lemmata(0, 1),
% 84.23/84.46 reduction(0, 2),
% 84.23/84.46 right_branch(9),
% 84.23/84.46 right_branch(7),
% 84.23/84.46 left_branch(0, 26, 1, 8),
% 84.23/84.46 left_branch(0, 51, 0, 9),
% 84.23/84.46 right_branch(9),
% 84.23/84.46 left_branch(0, 24, 1, 10),
% 84.23/84.46 lemmata(0, 1),
% 84.23/84.46 reduction(0, 2),
% 84.23/84.46 right_branch(10),
% 84.23/84.46 right_branch(8),
% 84.23/84.46 right_branch(5),
% 84.23/84.46 left_branch(0, 20, 1, 6),
% 84.23/84.46 reduction(0, 0),
% 84.23/84.46 left_branch(0, 26, 1, 8),
% 84.23/84.46 left_branch(0, 51, 0, 9),
% 84.23/84.46 right_branch(9),
% 84.23/84.46 left_branch(0, 21, 2, 10),
% 84.23/84.46 lemmata(0, 2),
% 84.23/84.46 reduction(0, 2),
% 84.23/84.46 right_branch(10),
% 84.23/84.46 right_branch(8),
% 84.23/84.46 left_branch(0, 29, 1, 9),
% 84.23/84.46 left_branch(0, 4, 2, 10),
% 84.23/84.46 left_branch(0, 0, 0, 11),
% 84.23/84.46 right_branch(11),
% 84.23/84.46 left_branch(0, 0, 0, 12),
% 84.23/84.46 right_branch(12),
% 84.23/84.46 right_branch(10),
% 84.23/84.46 left_branch(0, 21, 2, 11),
% 84.23/84.46 lemmata(0, 2),
% 84.23/84.46 reduction(0, 2),
% 84.23/84.46 right_branch(11),
% 84.23/84.46 right_branch(9),
% 84.23/84.46 right_branch(6),
% 84.23/84.46 right_branch(3),
% 84.23/84.46 left_branch(0, 29, 2, 4),
% 84.23/84.46 left_branch(0, 50, 0, 5),
% 84.23/84.46 right_branch(5),
% 84.23/84.46 left_branch(0, 18, 1, 6),
% 84.23/84.46 left_branch(0, 2, 2, 7),
% 84.23/84.46 left_branch(0, 50, 0, 8),
% 84.23/84.46 right_branch(8),
% 84.23/84.46 left_branch(0, 1, 1, 9),
% 84.23/84.46 left_branch(0, 45, 0, 10),
% 84.23/84.46 right_branch(10),
% 84.23/84.46 right_branch(9),
% 84.23/84.46 right_branch(7),
% 84.23/84.46 left_branch(0, 23, 2, 8),
% 84.23/84.46 reduction(0, 0),
% 84.23/84.46 lemmata(0, 0),
% 84.23/84.46 left_branch(0, 26, 1, 11),
% 84.23/84.46 left_branch(0, 51, 0, 12),
% 84.23/84.46 right_branch(12),
% 84.23/84.46 reduction(0, 1),
% 84.23/84.46 right_branch(11),
% 84.23/84.46 right_branch(8),
% 84.23/84.46 right_branch(6),
% 84.23/84.46 right_branch(4),
% 84.23/84.46 right_branch(2)
% 84.23/84.46 )).
% 84.23/84.46 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------