TSTP Solution File: SET988+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET988+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 : n011.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 09:20:06 EST 2024
% Result : Theorem 2.77s 2.96s
% Output : Proof 2.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET988+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n011.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 19:33:29 EST 2024
% 0.13/0.34 % CPUTime :
% 2.77/2.96 % SZS status Theorem for theBenchmark
% 2.77/2.96 % SZS output start Proof for theBenchmark
% 2.77/2.96
% 2.77/2.96 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 2.77/2.96 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u1, _u1) )).
% 2.77/2.96
% 2.77/2.96 % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(fc4_relat_1-1, axiom, ( empty(empty_set) )).
% 2.77/2.96 cnf(fc4_relat_1-2, axiom, ( relation(empty_set) )).
% 2.77/2.96
% 2.77/2.96 % Formula: fc12_relat_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(fc12_relat_1-1, axiom, ( empty(empty_set) )).
% 2.77/2.96 cnf(fc12_relat_1-2, axiom, ( relation(empty_set) )).
% 2.77/2.96 cnf(fc12_relat_1-3, axiom, ( relation_empty_yielding(empty_set) )).
% 2.77/2.96
% 2.77/2.96 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 2.77/2.96
% 2.77/2.96 % Formula: commutativity_k2_tarski ( axiom ) converted to clauses:
% 2.77/2.96 cnf(commutativity_k2_tarski-1, axiom, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 2.77/2.96
% 2.77/2.96 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(existence_m1_subset_1-1, axiom, ( element(skolem1(_u5), _u5) )).
% 2.77/2.96
% 2.77/2.96 % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(cc1_funct_1-1, axiom, ( ~empty(_u6) | function(_u6) )).
% 2.77/2.96
% 2.77/2.96 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u7)) )).
% 2.77/2.96
% 2.77/2.96 % Formula: fc2_subset_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(fc2_subset_1-1, axiom, ( ~empty(singleton(_u8)) )).
% 2.77/2.96
% 2.77/2.96 % Formula: fc3_subset_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(fc3_subset_1-1, axiom, ( ~empty(unordered_pair(_u10, _u9)) )).
% 2.77/2.96
% 2.77/2.96 % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(cc1_relat_1-1, axiom, ( ~empty(_u11) | relation(_u11) )).
% 2.77/2.96
% 2.77/2.96 % Formula: t2_subset ( axiom ) converted to clauses:
% 2.77/2.96 cnf(t2_subset-1, axiom, ( ~element(_u13, _u12) | empty(_u12) | in(_u13, _u12) )).
% 2.77/2.96
% 2.77/2.96 % Formula: t3_subset ( axiom ) converted to clauses:
% 2.77/2.96 cnf(t3_subset-1, axiom, ( ~element(_u18, powerset(_u16)) | subset(_u18, _u16) )).
% 2.77/2.96 cnf(t3_subset-2, axiom, ( ~subset(_u19, _u17) | element(_u19, powerset(_u17)) )).
% 2.77/2.96
% 2.77/2.96 % Formula: t4_subset ( axiom ) converted to clauses:
% 2.77/2.96 cnf(t4_subset-1, axiom, ( ~in(_u22, _u21) | ~element(_u21, powerset(_u20)) | element(_u22, _u20) )).
% 2.77/2.96
% 2.77/2.96 % Formula: t5_subset ( axiom ) converted to clauses:
% 2.77/2.96 cnf(t5_subset-1, axiom, ( ~in(_u25, _u24) | ~element(_u24, powerset(_u23)) | ~empty(_u23) )).
% 2.77/2.96
% 2.77/2.96 % Formula: t6_boole ( axiom ) converted to clauses:
% 2.77/2.96 cnf(t6_boole-1, axiom, ( ~empty(_u26) | ( _u26 = empty_set) )).
% 2.77/2.96
% 2.77/2.96 % Formula: t8_boole ( axiom ) converted to clauses:
% 2.77/2.96 cnf(t8_boole-1, axiom, ( ~empty(_u28) | ( _u28 = _u27) | ~empty(_u27) )).
% 2.77/2.96
% 2.77/2.96 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 2.77/2.96 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u30, _u29) | ~in(_u29, _u30) )).
% 2.77/2.96
% 2.77/2.96 % Formula: rc1_funct_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(rc1_funct_1-1, axiom, ( relation(skolem2) )).
% 2.77/2.96 cnf(rc1_funct_1-2, axiom, ( function(skolem2) )).
% 2.77/2.96
% 2.77/2.96 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(rc1_subset_1-1, axiom, ( empty(_u33) | element(skolem3(_u33), powerset(_u33)) )).
% 2.77/2.96 cnf(rc1_subset_1-2, axiom, ( empty(_u33) | ~empty(skolem3(_u33)) )).
% 2.77/2.96
% 2.77/2.96 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(rc2_subset_1-1, axiom, ( element(skolem4(_u35), powerset(_u35)) )).
% 2.77/2.96 cnf(rc2_subset_1-2, axiom, ( empty(skolem4(_u35)) )).
% 2.77/2.96
% 2.77/2.96 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(rc1_relat_1-1, axiom, ( empty(skolem5) )).
% 2.77/2.96 cnf(rc1_relat_1-2, axiom, ( relation(skolem5) )).
% 2.77/2.96
% 2.77/2.96 % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(rc2_relat_1-1, axiom, ( ~empty(skolem6) )).
% 2.77/2.96 cnf(rc2_relat_1-2, axiom, ( relation(skolem6) )).
% 2.77/2.96
% 2.77/2.96 % Formula: rc3_relat_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(rc3_relat_1-1, axiom, ( relation(skolem7) )).
% 2.77/2.96 cnf(rc3_relat_1-2, axiom, ( relation_empty_yielding(skolem7) )).
% 2.77/2.96
% 2.77/2.96 % Formula: fc1_zfmisc_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(fc1_zfmisc_1-1, axiom, ( ~empty(ordered_pair(_u40, _u39)) )).
% 2.77/2.96
% 2.77/2.96 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(rc1_xboole_0-1, axiom, ( empty(skolem8) )).
% 2.77/2.96
% 2.77/2.96 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem9) )).
% 2.77/2.96
% 2.77/2.96 % Formula: t1_subset ( axiom ) converted to clauses:
% 2.77/2.96 cnf(t1_subset-1, axiom, ( ~in(_u44, _u43) | element(_u44, _u43) )).
% 2.77/2.96
% 2.77/2.96 % Formula: t7_boole ( axiom ) converted to clauses:
% 2.77/2.96 cnf(t7_boole-1, axiom, ( ~in(_u46, _u45) | ~empty(_u45) )).
% 2.77/2.96
% 2.77/2.96 % Formula: d5_tarski ( axiom ) converted to clauses:
% 2.77/2.96 cnf(d5_tarski-1, axiom, ( ( ordered_pair(_u48, _u47) = unordered_pair(unordered_pair(_u48, _u47), singleton(_u48))) )).
% 2.77/2.96
% 2.77/2.96 % Formula: t2_funct_1 ( conjecture ) converted to clauses:
% 2.77/2.96 cnf(t2_funct_1-1, negated_conjecture, ( ~in(_u51, skolem10) | ( ordered_pair(skolem11(_u51), skolem12(_u51)) = _u51) )).
% 2.77/2.96 cnf(t2_funct_1-2, negated_conjecture, ( ~in(ordered_pair(_u54, _u53), skolem10) | ~in(ordered_pair(_u54, _u52), skolem10) | ( _u53 = _u52) )).
% 2.77/2.96 cnf(t2_funct_1-3, negated_conjecture, ( ~relation(skolem10) | ~function(skolem10) )).
% 2.77/2.96
% 2.77/2.96 % Formula: d1_funct_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(d1_funct_1-1, axiom, ( ~function(_u63) | ~in(ordered_pair(_u58, _u57), _u63) | ~in(ordered_pair(_u58, _u56), _u63) | ( _u57 = _u56) )).
% 2.77/2.96 cnf(d1_funct_1-2, axiom, ( function(_u64) | in(ordered_pair(skolem13(_u64), skolem14(_u64)), _u64) )).
% 2.77/2.96 cnf(d1_funct_1-3, axiom, ( function(_u64) | in(ordered_pair(skolem13(_u64), skolem15(_u64)), _u64) )).
% 2.77/2.96 cnf(d1_funct_1-4, axiom, ( function(_u64) | ( skolem14(_u64) != skolem15(_u64)) )).
% 2.77/2.96
% 2.77/2.96 % Formula: d1_relat_1 ( axiom ) converted to clauses:
% 2.77/2.96 cnf(d1_relat_1-1, axiom, ( ~relation(_u72) | ~in(_u67, _u72) | ( _u67 = ordered_pair(skolem16(_u72, _u67), skolem17(_u72, _u67))) )).
% 2.77/2.96 cnf(d1_relat_1-2, axiom, ( relation(_u73) | in(skolem18(_u73), _u73) )).
% 2.77/2.96 cnf(d1_relat_1-3, axiom, ( relation(_u73) | ( skolem18(_u73) != ordered_pair(_u69, _u68)) )).
% 2.77/2.96
% 2.77/2.96 % Problem matrix:
% 2.77/2.96 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 2.77/2.96 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 2.77/2.96 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 2.77/2.96 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 2.77/2.96 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ordered_pair(__eqx_0, __eqx_1) = ordered_pair(__eqy_0, __eqy_1)) )).
% 2.77/2.96 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skolem13(__eqx_0) = skolem13(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( skolem14(__eqx_0) = skolem14(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem16(__eqx_0, __eqx_1) = skolem16(__eqy_0, __eqy_1)) )).
% 2.77/2.96 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 2.77/2.96 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem18(__eqx_0) = skolem18(__eqy_0)) )).
% 2.77/2.96 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 2.77/2.96 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 2.77/2.96 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 2.77/2.96 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~relation_empty_yielding(__eqx_0) | relation_empty_yielding(__eqy_0) )).
% 2.77/2.96 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 2.77/2.96 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 2.77/2.96 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 2.77/2.96 cnf(matrix-25, plain, ( subset(_u1, _u1) )).
% 2.77/2.96 cnf(matrix-26, plain, ( empty(empty_set) )).
% 2.77/2.96 cnf(matrix-27, plain, ( relation(empty_set) )).
% 2.77/2.96 cnf(matrix-28, plain, ( empty(empty_set) )).
% 2.77/2.96 cnf(matrix-29, plain, ( relation(empty_set) )).
% 2.77/2.96 cnf(matrix-30, plain, ( relation_empty_yielding(empty_set) )).
% 2.77/2.96 cnf(matrix-31, plain, ( empty(empty_set) )).
% 2.77/2.96 cnf(matrix-32, plain, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 2.77/2.96 cnf(matrix-33, plain, ( element(skolem1(_u5), _u5) )).
% 2.77/2.96 cnf(matrix-34, plain, ( ~empty(_u6) | function(_u6) )).
% 2.77/2.96 cnf(matrix-35, plain, ( ~empty(powerset(_u7)) )).
% 2.77/2.96 cnf(matrix-36, plain, ( ~empty(singleton(_u8)) )).
% 2.77/2.96 cnf(matrix-37, plain, ( ~empty(unordered_pair(_u10, _u9)) )).
% 2.77/2.96 cnf(matrix-38, plain, ( ~empty(_u11) | relation(_u11) )).
% 2.77/2.96 cnf(matrix-39, plain, ( ~element(_u13, _u12) | empty(_u12) | in(_u13, _u12) )).
% 2.77/2.96 cnf(matrix-40, plain, ( ~element(_u18, powerset(_u16)) | subset(_u18, _u16) )).
% 2.77/2.96 cnf(matrix-41, plain, ( ~subset(_u19, _u17) | element(_u19, powerset(_u17)) )).
% 2.77/2.96 cnf(matrix-42, plain, ( ~in(_u22, _u21) | ~element(_u21, powerset(_u20)) | element(_u22, _u20) )).
% 2.77/2.96 cnf(matrix-43, plain, ( ~in(_u25, _u24) | ~element(_u24, powerset(_u23)) | ~empty(_u23) )).
% 2.77/2.96 cnf(matrix-44, plain, ( ~empty(_u26) | ( _u26 = empty_set) )).
% 2.77/2.96 cnf(matrix-45, plain, ( ~empty(_u28) | ( _u28 = _u27) | ~empty(_u27) )).
% 2.77/2.96 cnf(matrix-46, plain, ( ~in(_u30, _u29) | ~in(_u29, _u30) )).
% 2.77/2.96 cnf(matrix-47, plain, ( relation(skolem2) )).
% 2.77/2.96 cnf(matrix-48, plain, ( function(skolem2) )).
% 2.77/2.96 cnf(matrix-49, plain, ( empty(_u33) | element(skolem3(_u33), powerset(_u33)) )).
% 2.77/2.96 cnf(matrix-50, plain, ( empty(_u33) | ~empty(skolem3(_u33)) )).
% 2.77/2.96 cnf(matrix-51, plain, ( element(skolem4(_u35), powerset(_u35)) )).
% 2.77/2.96 cnf(matrix-52, plain, ( empty(skolem4(_u35)) )).
% 2.77/2.96 cnf(matrix-53, plain, ( empty(skolem5) )).
% 2.77/2.96 cnf(matrix-54, plain, ( relation(skolem5) )).
% 2.77/2.96 cnf(matrix-55, plain, ( ~empty(skolem6) )).
% 2.77/2.96 cnf(matrix-56, plain, ( relation(skolem6) )).
% 2.77/2.96 cnf(matrix-57, plain, ( relation(skolem7) )).
% 2.77/2.96 cnf(matrix-58, plain, ( relation_empty_yielding(skolem7) )).
% 2.77/2.96 cnf(matrix-59, plain, ( ~empty(ordered_pair(_u40, _u39)) )).
% 2.77/2.96 cnf(matrix-60, plain, ( empty(skolem8) )).
% 2.77/2.96 cnf(matrix-61, plain, ( ~empty(skolem9) )).
% 2.77/2.96 cnf(matrix-62, plain, ( ~in(_u44, _u43) | element(_u44, _u43) )).
% 2.77/2.96 cnf(matrix-63, plain, ( ~in(_u46, _u45) | ~empty(_u45) )).
% 2.77/2.96 cnf(matrix-64, plain, ( ( ordered_pair(_u48, _u47) = unordered_pair(unordered_pair(_u48, _u47), singleton(_u48))) )).
% 2.77/2.96 cnf(matrix-65, plain, ( ~in(_u51, skolem10) | ( ordered_pair(skolem11(_u51), skolem12(_u51)) = _u51) )).
% 2.77/2.96 cnf(matrix-66, plain, ( ~in(ordered_pair(_u54, _u53), skolem10) | ~in(ordered_pair(_u54, _u52), skolem10) | ( _u53 = _u52) )).
% 2.77/2.96 cnf(matrix-67, plain, ( ~relation(skolem10) | ~function(skolem10) )).
% 2.77/2.96 cnf(matrix-68, plain, ( ~function(_u63) | ~in(ordered_pair(_u58, _u57), _u63) | ~in(ordered_pair(_u58, _u56), _u63) | ( _u57 = _u56) )).
% 2.77/2.96 cnf(matrix-69, plain, ( function(_u64) | in(ordered_pair(skolem13(_u64), skolem14(_u64)), _u64) )).
% 2.77/2.96 cnf(matrix-70, plain, ( function(_u64) | in(ordered_pair(skolem13(_u64), skolem15(_u64)), _u64) )).
% 2.77/2.96 cnf(matrix-71, plain, ( function(_u64) | ( skolem14(_u64) != skolem15(_u64)) )).
% 2.77/2.96 cnf(matrix-72, plain, ( ~relation(_u72) | ~in(_u67, _u72) | ( _u67 = ordered_pair(skolem16(_u72, _u67), skolem17(_u72, _u67))) )).
% 2.77/2.96 cnf(matrix-73, plain, ( relation(_u73) | in(skolem18(_u73), _u73) )).
% 2.77/2.96 cnf(matrix-74, plain, ( relation(_u73) | ( skolem18(_u73) != ordered_pair(_u69, _u68)) )).
% 2.77/2.96
% 2.77/2.96 % Proof stack:
% 2.77/2.96 cnf(proof-stack, plain,
% 2.77/2.96 proof_stack(
% 2.77/2.96 start(67),
% 2.77/2.96 left_branch(0, 74, 0, 2),
% 2.77/2.96 left_branch(0, 1, 1, 3),
% 2.77/2.96 left_branch(0, 65, 1, 4),
% 2.77/2.96 left_branch(0, 73, 1, 5),
% 2.77/2.96 reduction(0, 0),
% 2.77/2.96 right_branch(5),
% 2.77/2.96 right_branch(4),
% 2.77/2.96 right_branch(3),
% 2.77/2.96 right_branch(2),
% 2.77/2.96 left_branch(0, 71, 0, 3),
% 2.77/2.96 left_branch(0, 66, 2, 4),
% 2.77/2.96 left_branch(0, 69, 1, 5),
% 2.77/2.96 reduction(0, 0),
% 2.77/2.96 right_branch(5),
% 2.77/2.96 left_branch(0, 70, 1, 6),
% 2.77/2.96 reduction(0, 0),
% 2.77/2.96 right_branch(6),
% 2.77/2.96 right_branch(4),
% 2.77/2.96 right_branch(3)
% 2.77/2.96 )).
% 2.77/2.96 % SZS output end Proof for theBenchmark
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