TSTP Solution File: GEO182+3 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n015.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 09:02:55 EST 2024
% Result : Theorem 2.73s 2.96s
% Output : Proof 2.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Mar 4 12:35:32 EST 2024
% 0.13/0.34 % CPUTime :
% 2.73/2.96 % SZS status Theorem for theBenchmark
% 2.73/2.96 % SZS output start Proof for theBenchmark
% 2.73/2.96
% 2.73/2.96 % Formula: apart1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(apart1-1, axiom, ( ~distinct_points(_u0, _u0) )).
% 2.73/2.96
% 2.73/2.96 % Formula: apart2 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(apart2-1, axiom, ( ~distinct_lines(_u1, _u1) )).
% 2.73/2.96
% 2.73/2.96 % Formula: apart3 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(apart3-1, axiom, ( ~convergent_lines(_u2, _u2) )).
% 2.73/2.96
% 2.73/2.96 % Formula: apart4 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(apart4-1, axiom, ( ~distinct_points(_u5, _u4) | distinct_points(_u5, _u3) | distinct_points(_u4, _u3) )).
% 2.73/2.96
% 2.73/2.96 % Formula: apart5 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(apart5-1, axiom, ( ~distinct_lines(_u8, _u7) | distinct_lines(_u8, _u6) | distinct_lines(_u7, _u6) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ax6 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ax6-1, axiom, ( ~convergent_lines(_u11, _u10) | convergent_lines(_u11, _u9) | convergent_lines(_u10, _u9) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ci1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ci1-1, axiom, ( ~distinct_points(_u13, _u12) | ~apart_point_and_line(_u13, line_connecting(_u13, _u12)) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ci2 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ci2-1, axiom, ( ~distinct_points(_u15, _u14) | ~apart_point_and_line(_u14, line_connecting(_u15, _u14)) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ci3 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ci3-1, axiom, ( ~convergent_lines(_u17, _u16) | ~apart_point_and_line(intersection_point(_u17, _u16), _u17) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ci4 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ci4-1, axiom, ( ~convergent_lines(_u19, _u18) | ~apart_point_and_line(intersection_point(_u19, _u18), _u18) )).
% 2.73/2.96
% 2.73/2.96 % Formula: cu1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(cu1-1, axiom, ( ~distinct_points(_u23, _u22) | ~distinct_lines(_u21, _u20) | apart_point_and_line(_u23, _u21) | apart_point_and_line(_u23, _u20) | apart_point_and_line(_u22, _u21) | apart_point_and_line(_u22, _u20) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ceq1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ceq1-1, axiom, ( ~apart_point_and_line(_u26, _u25) | distinct_points(_u26, _u24) | apart_point_and_line(_u24, _u25) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ceq2 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ceq2-1, axiom, ( ~apart_point_and_line(_u29, _u28) | distinct_lines(_u28, _u27) | apart_point_and_line(_u29, _u27) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ceq3 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ceq3-1, axiom, ( ~convergent_lines(_u32, _u31) | distinct_lines(_u31, _u30) | convergent_lines(_u32, _u30) )).
% 2.73/2.96
% 2.73/2.96 % Formula: p1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(p1-1, axiom, ( ~distinct_lines(_u34, _u33) | convergent_lines(_u34, _u33) )).
% 2.73/2.96
% 2.73/2.96 % Formula: cp1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(cp1-1, axiom, ( ~convergent_lines(parallel_through_point(_u35, _u36), _u35) )).
% 2.73/2.96
% 2.73/2.96 % Formula: cp2 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(cp2-1, axiom, ( ~apart_point_and_line(_u38, parallel_through_point(_u37, _u38)) )).
% 2.73/2.96
% 2.73/2.96 % Formula: cup1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(cup1-1, axiom, ( ~distinct_lines(_u40, _u39) | apart_point_and_line(_u41, _u40) | apart_point_and_line(_u41, _u39) | convergent_lines(_u40, _u39) )).
% 2.73/2.96
% 2.73/2.96 % Formula: occu1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(occu1-1, axiom, ( convergent_lines(_u43, _u42) | unorthogonal_lines(_u43, _u42) )).
% 2.73/2.96
% 2.73/2.96 % Formula: oac1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(oac1-1, axiom, ( ~convergent_lines(_u46, _u45) | ~unorthogonal_lines(_u46, _u45) | convergent_lines(_u46, _u44) | convergent_lines(_u45, _u44) )).
% 2.73/2.96 cnf(oac1-2, axiom, ( ~convergent_lines(_u46, _u45) | ~unorthogonal_lines(_u46, _u45) | convergent_lines(_u46, _u44) | unorthogonal_lines(_u45, _u44) )).
% 2.73/2.96 cnf(oac1-3, axiom, ( ~convergent_lines(_u46, _u45) | ~unorthogonal_lines(_u46, _u45) | unorthogonal_lines(_u46, _u44) | convergent_lines(_u45, _u44) )).
% 2.73/2.96 cnf(oac1-4, axiom, ( ~convergent_lines(_u46, _u45) | ~unorthogonal_lines(_u46, _u45) | unorthogonal_lines(_u46, _u44) | unorthogonal_lines(_u45, _u44) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ooc1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ooc1-1, axiom, ( ~unorthogonal_lines(orthogonal_through_point(_u47, _u48), _u47) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ooc2 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ooc2-1, axiom, ( ~apart_point_and_line(_u50, orthogonal_through_point(_u49, _u50)) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ouo1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ouo1-1, axiom, ( ~distinct_lines(_u53, _u52) | apart_point_and_line(_u54, _u53) | apart_point_and_line(_u54, _u52) | unorthogonal_lines(_u53, _u51) | unorthogonal_lines(_u52, _u51) )).
% 2.73/2.96
% 2.73/2.96 % Formula: coipo1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(coipo1-1, axiom, ( convergent_lines(_u56, _u55) | unorthogonal_lines(_u56, _u55) )).
% 2.73/2.96
% 2.73/2.96 % Formula: cotno1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(cotno1-1, axiom, ( ~convergent_lines(_u58, _u57) | ~unorthogonal_lines(_u58, _u57) | convergent_lines(_u59, _u58) | convergent_lines(_u59, _u57) )).
% 2.73/2.96 cnf(cotno1-2, axiom, ( ~convergent_lines(_u58, _u57) | ~unorthogonal_lines(_u58, _u57) | convergent_lines(_u59, _u58) | unorthogonal_lines(_u59, _u57) )).
% 2.73/2.96 cnf(cotno1-3, axiom, ( ~convergent_lines(_u58, _u57) | ~unorthogonal_lines(_u58, _u57) | unorthogonal_lines(_u59, _u58) | convergent_lines(_u59, _u57) )).
% 2.73/2.96 cnf(cotno1-4, axiom, ( ~convergent_lines(_u58, _u57) | ~unorthogonal_lines(_u58, _u57) | unorthogonal_lines(_u59, _u58) | unorthogonal_lines(_u59, _u57) )).
% 2.73/2.96
% 2.73/2.96 % Formula: couo1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(couo1-1, axiom, ( unorthogonal_lines(_u62, _u61) | unorthogonal_lines(_u62, _u60) | ~convergent_lines(_u61, _u60) )).
% 2.73/2.96
% 2.73/2.96 % Formula: con1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(con1-1, axiom, ( ~point(_u64) | ~point(_u63) | ~distinct_points(_u64, _u63) | line(line_connecting(_u64, _u63)) )).
% 2.73/2.96
% 2.73/2.96 % Formula: int1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(int1-1, axiom, ( ~line(_u66) | ~line(_u65) | ~convergent_lines(_u66, _u65) | point(intersection_point(_u66, _u65)) )).
% 2.73/2.96
% 2.73/2.96 % Formula: par1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(par1-1, axiom, ( ~line(_u68) | ~point(_u67) | line(parallel_through_point(_u68, _u67)) )).
% 2.73/2.96
% 2.73/2.96 % Formula: orth1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(orth1-1, axiom, ( ~line(_u70) | ~point(_u69) | line(orthogonal_through_point(_u70, _u69)) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ax1 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ax1-1, axiom, ( ~equal_points(_u75, _u73) | ~distinct_points(_u75, _u73) )).
% 2.73/2.96 cnf(ax1-2, axiom, ( distinct_points(_u76, _u74) | equal_points(_u76, _u74) )).
% 2.73/2.96
% 2.73/2.96 % Formula: ax2 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(ax2-1, axiom, ( ~equal_lines(_u81, _u79) | ~distinct_lines(_u81, _u79) )).
% 2.73/2.96 cnf(ax2-2, axiom, ( distinct_lines(_u82, _u80) | equal_lines(_u82, _u80) )).
% 2.73/2.96
% 2.73/2.96 % Formula: a3 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(a3-1, axiom, ( ~parallel_lines(_u87, _u85) | ~convergent_lines(_u87, _u85) )).
% 2.73/2.96 cnf(a3-2, axiom, ( convergent_lines(_u88, _u86) | parallel_lines(_u88, _u86) )).
% 2.73/2.96
% 2.73/2.96 % Formula: a4 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(a4-1, axiom, ( ~incident_point_and_line(_u93, _u91) | ~apart_point_and_line(_u93, _u91) )).
% 2.73/2.96 cnf(a4-2, axiom, ( apart_point_and_line(_u94, _u92) | incident_point_and_line(_u94, _u92) )).
% 2.73/2.96
% 2.73/2.96 % Formula: a5 ( axiom ) converted to clauses:
% 2.73/2.96 cnf(a5-1, axiom, ( ~orthogonal_lines(_u99, _u97) | ~unorthogonal_lines(_u99, _u97) )).
% 2.73/2.96 cnf(a5-2, axiom, ( unorthogonal_lines(_u100, _u98) | orthogonal_lines(_u100, _u98) )).
% 2.73/2.96
% 2.73/2.96 % Formula: con ( conjecture ) converted to clauses:
% 2.73/2.96 cnf(con-1, negated_conjecture, ( distinct_points(skolem1, skolem2) )).
% 2.73/2.96 cnf(con-2, negated_conjecture, ( apart_point_and_line(skolem3, line_connecting(skolem1, skolem2)) )).
% 2.73/2.96 cnf(con-3, negated_conjecture, ( ~apart_point_and_line(skolem3, line_connecting(skolem2, skolem1)) )).
% 2.73/2.96
% 2.73/2.96 % Problem matrix:
% 2.73/2.96 cnf(matrix-0, plain, ( ~distinct_points(_u0, _u0) )).
% 2.73/2.96 cnf(matrix-1, plain, ( ~distinct_lines(_u1, _u1) )).
% 2.73/2.96 cnf(matrix-2, plain, ( ~convergent_lines(_u2, _u2) )).
% 2.73/2.96 cnf(matrix-3, plain, ( ~distinct_points(_u5, _u4) | distinct_points(_u5, _u3) | distinct_points(_u4, _u3) )).
% 2.73/2.96 cnf(matrix-4, plain, ( ~distinct_lines(_u8, _u7) | distinct_lines(_u8, _u6) | distinct_lines(_u7, _u6) )).
% 2.73/2.96 cnf(matrix-5, plain, ( ~convergent_lines(_u11, _u10) | convergent_lines(_u11, _u9) | convergent_lines(_u10, _u9) )).
% 2.73/2.96 cnf(matrix-6, plain, ( ~distinct_points(_u13, _u12) | ~apart_point_and_line(_u13, line_connecting(_u13, _u12)) )).
% 2.73/2.96 cnf(matrix-7, plain, ( ~distinct_points(_u15, _u14) | ~apart_point_and_line(_u14, line_connecting(_u15, _u14)) )).
% 2.73/2.96 cnf(matrix-8, plain, ( ~convergent_lines(_u17, _u16) | ~apart_point_and_line(intersection_point(_u17, _u16), _u17) )).
% 2.73/2.96 cnf(matrix-9, plain, ( ~convergent_lines(_u19, _u18) | ~apart_point_and_line(intersection_point(_u19, _u18), _u18) )).
% 2.73/2.96 cnf(matrix-10, plain, ( ~distinct_points(_u23, _u22) | ~distinct_lines(_u21, _u20) | apart_point_and_line(_u23, _u21) | apart_point_and_line(_u23, _u20) | apart_point_and_line(_u22, _u21) | apart_point_and_line(_u22, _u20) )).
% 2.73/2.96 cnf(matrix-11, plain, ( ~apart_point_and_line(_u26, _u25) | distinct_points(_u26, _u24) | apart_point_and_line(_u24, _u25) )).
% 2.73/2.96 cnf(matrix-12, plain, ( ~apart_point_and_line(_u29, _u28) | distinct_lines(_u28, _u27) | apart_point_and_line(_u29, _u27) )).
% 2.73/2.96 cnf(matrix-13, plain, ( ~convergent_lines(_u32, _u31) | distinct_lines(_u31, _u30) | convergent_lines(_u32, _u30) )).
% 2.73/2.96 cnf(matrix-14, plain, ( ~distinct_lines(_u34, _u33) | convergent_lines(_u34, _u33) )).
% 2.73/2.96 cnf(matrix-15, plain, ( ~convergent_lines(parallel_through_point(_u35, _u36), _u35) )).
% 2.73/2.96 cnf(matrix-16, plain, ( ~apart_point_and_line(_u38, parallel_through_point(_u37, _u38)) )).
% 2.73/2.96 cnf(matrix-17, plain, ( ~distinct_lines(_u40, _u39) | apart_point_and_line(_u41, _u40) | apart_point_and_line(_u41, _u39) | convergent_lines(_u40, _u39) )).
% 2.73/2.96 cnf(matrix-18, plain, ( convergent_lines(_u43, _u42) | unorthogonal_lines(_u43, _u42) )).
% 2.73/2.96 cnf(matrix-19, plain, ( ~convergent_lines(_u46, _u45) | ~unorthogonal_lines(_u46, _u45) | convergent_lines(_u46, _u44) | convergent_lines(_u45, _u44) )).
% 2.73/2.96 cnf(matrix-20, plain, ( ~convergent_lines(_u46, _u45) | ~unorthogonal_lines(_u46, _u45) | convergent_lines(_u46, _u44) | unorthogonal_lines(_u45, _u44) )).
% 2.73/2.96 cnf(matrix-21, plain, ( ~convergent_lines(_u46, _u45) | ~unorthogonal_lines(_u46, _u45) | unorthogonal_lines(_u46, _u44) | convergent_lines(_u45, _u44) )).
% 2.73/2.96 cnf(matrix-22, plain, ( ~convergent_lines(_u46, _u45) | ~unorthogonal_lines(_u46, _u45) | unorthogonal_lines(_u46, _u44) | unorthogonal_lines(_u45, _u44) )).
% 2.73/2.96 cnf(matrix-23, plain, ( ~unorthogonal_lines(orthogonal_through_point(_u47, _u48), _u47) )).
% 2.73/2.96 cnf(matrix-24, plain, ( ~apart_point_and_line(_u50, orthogonal_through_point(_u49, _u50)) )).
% 2.73/2.96 cnf(matrix-25, plain, ( ~distinct_lines(_u53, _u52) | apart_point_and_line(_u54, _u53) | apart_point_and_line(_u54, _u52) | unorthogonal_lines(_u53, _u51) | unorthogonal_lines(_u52, _u51) )).
% 2.73/2.96 cnf(matrix-26, plain, ( convergent_lines(_u56, _u55) | unorthogonal_lines(_u56, _u55) )).
% 2.73/2.96 cnf(matrix-27, plain, ( ~convergent_lines(_u58, _u57) | ~unorthogonal_lines(_u58, _u57) | convergent_lines(_u59, _u58) | convergent_lines(_u59, _u57) )).
% 2.73/2.96 cnf(matrix-28, plain, ( ~convergent_lines(_u58, _u57) | ~unorthogonal_lines(_u58, _u57) | convergent_lines(_u59, _u58) | unorthogonal_lines(_u59, _u57) )).
% 2.73/2.96 cnf(matrix-29, plain, ( ~convergent_lines(_u58, _u57) | ~unorthogonal_lines(_u58, _u57) | unorthogonal_lines(_u59, _u58) | convergent_lines(_u59, _u57) )).
% 2.73/2.96 cnf(matrix-30, plain, ( ~convergent_lines(_u58, _u57) | ~unorthogonal_lines(_u58, _u57) | unorthogonal_lines(_u59, _u58) | unorthogonal_lines(_u59, _u57) )).
% 2.73/2.96 cnf(matrix-31, plain, ( unorthogonal_lines(_u62, _u61) | unorthogonal_lines(_u62, _u60) | ~convergent_lines(_u61, _u60) )).
% 2.73/2.96 cnf(matrix-32, plain, ( ~point(_u64) | ~point(_u63) | ~distinct_points(_u64, _u63) | line(line_connecting(_u64, _u63)) )).
% 2.73/2.96 cnf(matrix-33, plain, ( ~line(_u66) | ~line(_u65) | ~convergent_lines(_u66, _u65) | point(intersection_point(_u66, _u65)) )).
% 2.73/2.96 cnf(matrix-34, plain, ( ~line(_u68) | ~point(_u67) | line(parallel_through_point(_u68, _u67)) )).
% 2.73/2.96 cnf(matrix-35, plain, ( ~line(_u70) | ~point(_u69) | line(orthogonal_through_point(_u70, _u69)) )).
% 2.73/2.96 cnf(matrix-36, plain, ( ~equal_points(_u75, _u73) | ~distinct_points(_u75, _u73) )).
% 2.73/2.96 cnf(matrix-37, plain, ( distinct_points(_u76, _u74) | equal_points(_u76, _u74) )).
% 2.73/2.96 cnf(matrix-38, plain, ( ~equal_lines(_u81, _u79) | ~distinct_lines(_u81, _u79) )).
% 2.73/2.96 cnf(matrix-39, plain, ( distinct_lines(_u82, _u80) | equal_lines(_u82, _u80) )).
% 2.73/2.96 cnf(matrix-40, plain, ( ~parallel_lines(_u87, _u85) | ~convergent_lines(_u87, _u85) )).
% 2.73/2.96 cnf(matrix-41, plain, ( convergent_lines(_u88, _u86) | parallel_lines(_u88, _u86) )).
% 2.73/2.96 cnf(matrix-42, plain, ( ~incident_point_and_line(_u93, _u91) | ~apart_point_and_line(_u93, _u91) )).
% 2.73/2.96 cnf(matrix-43, plain, ( apart_point_and_line(_u94, _u92) | incident_point_and_line(_u94, _u92) )).
% 2.73/2.96 cnf(matrix-44, plain, ( ~orthogonal_lines(_u99, _u97) | ~unorthogonal_lines(_u99, _u97) )).
% 2.73/2.96 cnf(matrix-45, plain, ( unorthogonal_lines(_u100, _u98) | orthogonal_lines(_u100, _u98) )).
% 2.73/2.96 cnf(matrix-46, plain, ( distinct_points(skolem1, skolem2) )).
% 2.73/2.96 cnf(matrix-47, plain, ( apart_point_and_line(skolem3, line_connecting(skolem1, skolem2)) )).
% 2.73/2.96 cnf(matrix-48, plain, ( ~apart_point_and_line(skolem3, line_connecting(skolem2, skolem1)) )).
% 2.73/2.96
% 2.73/2.96 % Proof stack:
% 2.73/2.96 cnf(proof-stack, plain,
% 2.73/2.96 proof_stack(
% 2.73/2.96 start(15),
% 2.73/2.96 left_branch(0, 14, 1, 2),
% 2.73/2.96 left_branch(0, 4, 2, 3),
% 2.73/2.96 left_branch(0, 12, 1, 4),
% 2.73/2.96 left_branch(0, 47, 0, 5),
% 2.73/2.96 right_branch(5),
% 2.73/2.96 left_branch(0, 16, 0, 6),
% 2.73/2.96 right_branch(6),
% 2.73/2.96 right_branch(4),
% 2.73/2.96 left_branch(0, 14, 0, 5),
% 2.73/2.96 left_branch(0, 2, 0, 6),
% 2.73/2.96 right_branch(6),
% 2.73/2.96 right_branch(5),
% 2.73/2.96 right_branch(3),
% 2.73/2.96 right_branch(2)
% 2.73/2.96 )).
% 2.73/2.96 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------