TSTP Solution File: LCL644+1.005 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : LCL644+1.005 : 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 : n002.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 14:20:44 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL644+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Mar 20 18:26:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% 0.21/0.43
% 0.21/0.43 % Formula: main ( conjecture ) (definitionally) converted to clauses:
% 0.21/0.43 cnf(main-1, negated_conjecture, ( ~r1(skolem1, _u1) | ~p6(_u1) | ~_def0(_u1) | p5(_u1) | ~r1(skolem1, _u3) | p6(_u3) | ~p5(_u3) | ~_def1(_u3) | ~_def2(_u4, _u6) | ~_def3(_u9, _u8) | ~_def4(_u12, _u13) )).
% 0.21/0.43 cnf(main-2, negated_conjecture, ( ~r1(skolem1, _u16) | ~p5(_u16) | ~_def5(_u16) | p4(_u16) | ~r1(skolem1, _u18) | p5(_u18) | ~p4(_u18) | ~_def6(_u18) | ~_def7(_u21, _u19) | ~_def8(_u23, _u24) | ~_def9(_u28, _u27) )).
% 0.21/0.43 cnf(main-3, negated_conjecture, ( ~r1(skolem1, _u31) | ~p4(_u31) | ~_def10(_u31) | p3(_u31) | ~r1(skolem1, _u33) | p4(_u33) | ~p3(_u33) | ~_def11(_u33) | ~_def12(_u36, _u34) | ~_def13(_u38, _u39) | ~_def14(_u42, _u43) )).
% 0.21/0.43 cnf(main-4, negated_conjecture, ( ~r1(skolem1, _u46) | ~p3(_u46) | ~_def15(_u46) | p2(_u46) | ~r1(skolem1, _u48) | p3(_u48) | ~p2(_u48) | ~_def16(_u48) | ~_def17(_u51, _u49) | ~_def18(_u54, _u53) | ~_def19(_u58, _u57) )).
% 0.21/0.43 cnf(main-5, negated_conjecture, ( r1(skolem1, skolem30) )).
% 0.21/0.43 cnf(main-6, negated_conjecture, ( ~p5(skolem30) )).
% 0.21/0.43 cnf(main-7, negated_conjecture, ( ~r1(skolem30, _u60) | p5(_u60) )).
% 0.21/0.43 cnf(main-8, negated_conjecture, ( p5(skolem30) )).
% 0.21/0.43 cnf(main-9, negated_conjecture, ( r1(skolem1, skolem31) )).
% 0.21/0.43 cnf(main-10, negated_conjecture, ( ~p5(skolem31) )).
% 0.21/0.43 cnf(main-11, negated_conjecture, ( ~r1(skolem31, _u62) | p5(_u62) )).
% 0.21/0.43 cnf(main-12, negated_conjecture, ( p5(skolem31) )).
% 0.21/0.43 cnf(main-13, negated_conjecture, ( ~r1(skolem1, _u65) | ~p2(_u65) | ~_def20(_u65) | p1(_u65) | ~r1(skolem1, _u67) | p2(_u67) | ~p1(_u67) | ~_def21(_u67) | ~_def22(_u68, _u70) | ~_def23(_u72, _u73) | ~_def24(_u76, _u77) )).
% 0.21/0.43 cnf(main-14, negated_conjecture, ( _def0(_u1) | r1(_u1, skolem2(_u1)) )).
% 0.21/0.43 cnf(main-15, negated_conjecture, ( _def0(_u1) | ~p6(skolem2(_u1)) )).
% 0.21/0.43 cnf(main-16, negated_conjecture, ( _def1(_u3) | r1(_u3, skolem3(_u3)) )).
% 0.21/0.43 cnf(main-17, negated_conjecture, ( _def1(_u3) | ~p5(skolem3(_u3)) )).
% 0.21/0.43 cnf(main-18, negated_conjecture, ( _def2(_u4, _u6) | r1(skolem1, skolem4) )).
% 0.21/0.43 cnf(main-19, negated_conjecture, ( _def2(_u4, _u6) | r1(skolem4, skolem5) )).
% 0.21/0.43 cnf(main-20, negated_conjecture, ( _def2(_u4, _u6) | p6(skolem5) )).
% 0.21/0.43 cnf(main-21, negated_conjecture, ( _def2(_u4, _u6) | ~r1(skolem5, _u4) | p6(_u4) )).
% 0.21/0.43 cnf(main-22, negated_conjecture, ( _def2(_u4, _u6) | ~p5(skolem5) )).
% 0.21/0.43 cnf(main-23, negated_conjecture, ( _def2(_u4, _u6) | ~p6(skolem4) )).
% 0.21/0.43 cnf(main-24, negated_conjecture, ( _def2(_u4, _u6) | p5(skolem4) )).
% 0.21/0.43 cnf(main-25, negated_conjecture, ( _def2(_u4, _u6) | ~r1(skolem4, _u6) | p5(_u6) )).
% 0.21/0.43 cnf(main-26, negated_conjecture, ( _def2(_u4, _u6) | p5(skolem4) )).
% 0.21/0.43 cnf(main-27, negated_conjecture, ( _def3(_u9, _u8) | r1(skolem1, skolem6) )).
% 0.21/0.43 cnf(main-28, negated_conjecture, ( _def3(_u9, _u8) | p6(skolem6) )).
% 0.21/0.43 cnf(main-29, negated_conjecture, ( _def3(_u9, _u8) | ~r1(skolem6, _u8) | p6(_u8) )).
% 0.21/0.43 cnf(main-30, negated_conjecture, ( _def3(_u9, _u8) | ~p5(skolem6) )).
% 0.21/0.43 cnf(main-31, negated_conjecture, ( _def3(_u9, _u8) | r1(skolem6, skolem7) )).
% 0.21/0.43 cnf(main-32, negated_conjecture, ( _def3(_u9, _u8) | ~p6(skolem7) )).
% 0.21/0.43 cnf(main-33, negated_conjecture, ( _def3(_u9, _u8) | p5(skolem7) )).
% 0.21/0.43 cnf(main-34, negated_conjecture, ( _def3(_u9, _u8) | ~r1(skolem7, _u9) | p5(_u9) )).
% 0.21/0.43 cnf(main-35, negated_conjecture, ( _def3(_u9, _u8) | p5(skolem7) )).
% 0.21/0.43 cnf(main-36, negated_conjecture, ( _def4(_u12, _u13) | r1(skolem1, skolem8) )).
% 0.21/0.43 cnf(main-37, negated_conjecture, ( _def4(_u12, _u13) | p6(skolem8) )).
% 0.21/0.43 cnf(main-38, negated_conjecture, ( _def4(_u12, _u13) | ~r1(skolem8, _u12) | p6(_u12) )).
% 0.21/0.43 cnf(main-39, negated_conjecture, ( _def4(_u12, _u13) | ~p5(skolem8) )).
% 0.21/0.43 cnf(main-40, negated_conjecture, ( _def4(_u12, _u13) | ~p6(skolem8) )).
% 0.21/0.43 cnf(main-41, negated_conjecture, ( _def4(_u12, _u13) | p5(skolem8) )).
% 0.21/0.43 cnf(main-42, negated_conjecture, ( _def4(_u12, _u13) | ~r1(skolem8, _u13) | p5(_u13) )).
% 0.21/0.43 cnf(main-43, negated_conjecture, ( _def4(_u12, _u13) | p5(skolem8) )).
% 0.21/0.43 cnf(main-44, negated_conjecture, ( _def5(_u16) | r1(_u16, skolem9(_u16)) )).
% 0.21/0.43 cnf(main-45, negated_conjecture, ( _def5(_u16) | ~p5(skolem9(_u16)) )).
% 0.21/0.43 cnf(main-46, negated_conjecture, ( _def6(_u18) | r1(_u18, skolem10(_u18)) )).
% 0.21/0.43 cnf(main-47, negated_conjecture, ( _def6(_u18) | ~p4(skolem10(_u18)) )).
% 0.21/0.43 cnf(main-48, negated_conjecture, ( _def7(_u21, _u19) | r1(skolem1, skolem11) )).
% 0.21/0.43 cnf(main-49, negated_conjecture, ( _def7(_u21, _u19) | r1(skolem11, skolem12) )).
% 0.21/0.43 cnf(main-50, negated_conjecture, ( _def7(_u21, _u19) | p5(skolem12) )).
% 0.21/0.43 cnf(main-51, negated_conjecture, ( _def7(_u21, _u19) | ~r1(skolem12, _u19) | p5(_u19) )).
% 0.21/0.43 cnf(main-52, negated_conjecture, ( _def7(_u21, _u19) | ~p4(skolem12) )).
% 0.21/0.43 cnf(main-53, negated_conjecture, ( _def7(_u21, _u19) | ~p5(skolem11) )).
% 0.21/0.43 cnf(main-54, negated_conjecture, ( _def7(_u21, _u19) | p4(skolem11) )).
% 0.21/0.43 cnf(main-55, negated_conjecture, ( _def7(_u21, _u19) | ~r1(skolem11, _u21) | p4(_u21) )).
% 0.21/0.43 cnf(main-56, negated_conjecture, ( _def7(_u21, _u19) | p4(skolem11) )).
% 0.21/0.43 cnf(main-57, negated_conjecture, ( _def8(_u23, _u24) | r1(skolem1, skolem13) )).
% 0.21/0.43 cnf(main-58, negated_conjecture, ( _def8(_u23, _u24) | p5(skolem13) )).
% 0.21/0.43 cnf(main-59, negated_conjecture, ( _def8(_u23, _u24) | ~r1(skolem13, _u23) | p5(_u23) )).
% 0.21/0.43 cnf(main-60, negated_conjecture, ( _def8(_u23, _u24) | ~p4(skolem13) )).
% 0.21/0.43 cnf(main-61, negated_conjecture, ( _def8(_u23, _u24) | r1(skolem13, skolem14) )).
% 0.21/0.43 cnf(main-62, negated_conjecture, ( _def8(_u23, _u24) | ~p5(skolem14) )).
% 0.21/0.43 cnf(main-63, negated_conjecture, ( _def8(_u23, _u24) | p4(skolem14) )).
% 0.21/0.43 cnf(main-64, negated_conjecture, ( _def8(_u23, _u24) | ~r1(skolem14, _u24) | p4(_u24) )).
% 0.21/0.43 cnf(main-65, negated_conjecture, ( _def8(_u23, _u24) | p4(skolem14) )).
% 0.21/0.43 cnf(main-66, negated_conjecture, ( _def9(_u28, _u27) | r1(skolem1, skolem15) )).
% 0.21/0.43 cnf(main-67, negated_conjecture, ( _def9(_u28, _u27) | p5(skolem15) )).
% 0.21/0.43 cnf(main-68, negated_conjecture, ( _def9(_u28, _u27) | ~r1(skolem15, _u27) | p5(_u27) )).
% 0.21/0.43 cnf(main-69, negated_conjecture, ( _def9(_u28, _u27) | ~p4(skolem15) )).
% 0.21/0.43 cnf(main-70, negated_conjecture, ( _def9(_u28, _u27) | ~p5(skolem15) )).
% 0.21/0.43 cnf(main-71, negated_conjecture, ( _def9(_u28, _u27) | p4(skolem15) )).
% 0.21/0.43 cnf(main-72, negated_conjecture, ( _def9(_u28, _u27) | ~r1(skolem15, _u28) | p4(_u28) )).
% 0.21/0.43 cnf(main-73, negated_conjecture, ( _def9(_u28, _u27) | p4(skolem15) )).
% 0.21/0.43 cnf(main-74, negated_conjecture, ( _def10(_u31) | r1(_u31, skolem16(_u31)) )).
% 0.21/0.43 cnf(main-75, negated_conjecture, ( _def10(_u31) | ~p4(skolem16(_u31)) )).
% 0.21/0.43 cnf(main-76, negated_conjecture, ( _def11(_u33) | r1(_u33, skolem17(_u33)) )).
% 0.21/0.43 cnf(main-77, negated_conjecture, ( _def11(_u33) | ~p3(skolem17(_u33)) )).
% 0.21/0.43 cnf(main-78, negated_conjecture, ( _def12(_u36, _u34) | r1(skolem1, skolem18) )).
% 0.21/0.43 cnf(main-79, negated_conjecture, ( _def12(_u36, _u34) | r1(skolem18, skolem19) )).
% 0.21/0.43 cnf(main-80, negated_conjecture, ( _def12(_u36, _u34) | p4(skolem19) )).
% 0.21/0.43 cnf(main-81, negated_conjecture, ( _def12(_u36, _u34) | ~r1(skolem19, _u34) | p4(_u34) )).
% 0.21/0.43 cnf(main-82, negated_conjecture, ( _def12(_u36, _u34) | ~p3(skolem19) )).
% 0.21/0.43 cnf(main-83, negated_conjecture, ( _def12(_u36, _u34) | ~p4(skolem18) )).
% 0.21/0.43 cnf(main-84, negated_conjecture, ( _def12(_u36, _u34) | p3(skolem18) )).
% 0.21/0.43 cnf(main-85, negated_conjecture, ( _def12(_u36, _u34) | ~r1(skolem18, _u36) | p3(_u36) )).
% 0.21/0.43 cnf(main-86, negated_conjecture, ( _def12(_u36, _u34) | p3(skolem18) )).
% 0.21/0.43 cnf(main-87, negated_conjecture, ( _def13(_u38, _u39) | r1(skolem1, skolem20) )).
% 0.21/0.43 cnf(main-88, negated_conjecture, ( _def13(_u38, _u39) | p4(skolem20) )).
% 0.21/0.43 cnf(main-89, negated_conjecture, ( _def13(_u38, _u39) | ~r1(skolem20, _u38) | p4(_u38) )).
% 0.21/0.43 cnf(main-90, negated_conjecture, ( _def13(_u38, _u39) | ~p3(skolem20) )).
% 0.21/0.43 cnf(main-91, negated_conjecture, ( _def13(_u38, _u39) | r1(skolem20, skolem21) )).
% 0.21/0.43 cnf(main-92, negated_conjecture, ( _def13(_u38, _u39) | ~p4(skolem21) )).
% 0.21/0.43 cnf(main-93, negated_conjecture, ( _def13(_u38, _u39) | p3(skolem21) )).
% 0.21/0.43 cnf(main-94, negated_conjecture, ( _def13(_u38, _u39) | ~r1(skolem21, _u39) | p3(_u39) )).
% 0.21/0.43 cnf(main-95, negated_conjecture, ( _def13(_u38, _u39) | p3(skolem21) )).
% 0.21/0.43 cnf(main-96, negated_conjecture, ( _def14(_u42, _u43) | r1(skolem1, skolem22) )).
% 0.21/0.43 cnf(main-97, negated_conjecture, ( _def14(_u42, _u43) | p4(skolem22) )).
% 0.21/0.43 cnf(main-98, negated_conjecture, ( _def14(_u42, _u43) | ~r1(skolem22, _u42) | p4(_u42) )).
% 0.21/0.43 cnf(main-99, negated_conjecture, ( _def14(_u42, _u43) | ~p3(skolem22) )).
% 0.21/0.43 cnf(main-100, negated_conjecture, ( _def14(_u42, _u43) | ~p4(skolem22) )).
% 0.21/0.43 cnf(main-101, negated_conjecture, ( _def14(_u42, _u43) | p3(skolem22) )).
% 0.21/0.43 cnf(main-102, negated_conjecture, ( _def14(_u42, _u43) | ~r1(skolem22, _u43) | p3(_u43) )).
% 0.21/0.43 cnf(main-103, negated_conjecture, ( _def14(_u42, _u43) | p3(skolem22) )).
% 0.21/0.43 cnf(main-104, negated_conjecture, ( _def15(_u46) | r1(_u46, skolem23(_u46)) )).
% 0.21/0.43 cnf(main-105, negated_conjecture, ( _def15(_u46) | ~p3(skolem23(_u46)) )).
% 0.21/0.43 cnf(main-106, negated_conjecture, ( _def16(_u48) | r1(_u48, skolem24(_u48)) )).
% 0.21/0.43 cnf(main-107, negated_conjecture, ( _def16(_u48) | ~p2(skolem24(_u48)) )).
% 0.21/0.43 cnf(main-108, negated_conjecture, ( _def17(_u51, _u49) | r1(skolem1, skolem25) )).
% 0.21/0.43 cnf(main-109, negated_conjecture, ( _def17(_u51, _u49) | r1(skolem25, skolem26) )).
% 0.21/0.43 cnf(main-110, negated_conjecture, ( _def17(_u51, _u49) | p3(skolem26) )).
% 0.21/0.43 cnf(main-111, negated_conjecture, ( _def17(_u51, _u49) | ~r1(skolem26, _u49) | p3(_u49) )).
% 0.21/0.43 cnf(main-112, negated_conjecture, ( _def17(_u51, _u49) | ~p2(skolem26) )).
% 0.21/0.43 cnf(main-113, negated_conjecture, ( _def17(_u51, _u49) | ~p3(skolem25) )).
% 0.21/0.43 cnf(main-114, negated_conjecture, ( _def17(_u51, _u49) | p2(skolem25) )).
% 0.21/0.43 cnf(main-115, negated_conjecture, ( _def17(_u51, _u49) | ~r1(skolem25, _u51) | p2(_u51) )).
% 0.21/0.43 cnf(main-116, negated_conjecture, ( _def17(_u51, _u49) | p2(skolem25) )).
% 0.21/0.43 cnf(main-117, negated_conjecture, ( _def18(_u54, _u53) | r1(skolem1, skolem27) )).
% 0.21/0.43 cnf(main-118, negated_conjecture, ( _def18(_u54, _u53) | p3(skolem27) )).
% 0.21/0.43 cnf(main-119, negated_conjecture, ( _def18(_u54, _u53) | ~r1(skolem27, _u53) | p3(_u53) )).
% 0.21/0.43 cnf(main-120, negated_conjecture, ( _def18(_u54, _u53) | ~p2(skolem27) )).
% 0.21/0.43 cnf(main-121, negated_conjecture, ( _def18(_u54, _u53) | r1(skolem27, skolem28) )).
% 0.21/0.43 cnf(main-122, negated_conjecture, ( _def18(_u54, _u53) | ~p3(skolem28) )).
% 0.21/0.43 cnf(main-123, negated_conjecture, ( _def18(_u54, _u53) | p2(skolem28) )).
% 0.21/0.43 cnf(main-124, negated_conjecture, ( _def18(_u54, _u53) | ~r1(skolem28, _u54) | p2(_u54) )).
% 0.21/0.43 cnf(main-125, negated_conjecture, ( _def18(_u54, _u53) | p2(skolem28) )).
% 0.21/0.43 cnf(main-126, negated_conjecture, ( _def19(_u58, _u57) | r1(skolem1, skolem29) )).
% 0.21/0.43 cnf(main-127, negated_conjecture, ( _def19(_u58, _u57) | p3(skolem29) )).
% 0.21/0.43 cnf(main-128, negated_conjecture, ( _def19(_u58, _u57) | ~r1(skolem29, _u57) | p3(_u57) )).
% 0.21/0.43 cnf(main-129, negated_conjecture, ( _def19(_u58, _u57) | ~p2(skolem29) )).
% 0.21/0.43 cnf(main-130, negated_conjecture, ( _def19(_u58, _u57) | ~p3(skolem29) )).
% 0.21/0.43 cnf(main-131, negated_conjecture, ( _def19(_u58, _u57) | p2(skolem29) )).
% 0.21/0.43 cnf(main-132, negated_conjecture, ( _def19(_u58, _u57) | ~r1(skolem29, _u58) | p2(_u58) )).
% 0.21/0.43 cnf(main-133, negated_conjecture, ( _def19(_u58, _u57) | p2(skolem29) )).
% 0.21/0.43 cnf(main-134, negated_conjecture, ( _def20(_u65) | r1(_u65, skolem32(_u65)) )).
% 0.21/0.43 cnf(main-135, negated_conjecture, ( _def20(_u65) | ~p2(skolem32(_u65)) )).
% 0.21/0.43 cnf(main-136, negated_conjecture, ( _def21(_u67) | r1(_u67, skolem33(_u67)) )).
% 0.21/0.43 cnf(main-137, negated_conjecture, ( _def21(_u67) | ~p1(skolem33(_u67)) )).
% 0.21/0.43 cnf(main-138, negated_conjecture, ( _def22(_u68, _u70) | r1(skolem1, skolem34) )).
% 0.21/0.43 cnf(main-139, negated_conjecture, ( _def22(_u68, _u70) | r1(skolem34, skolem35) )).
% 0.21/0.43 cnf(main-140, negated_conjecture, ( _def22(_u68, _u70) | p2(skolem35) )).
% 0.21/0.43 cnf(main-141, negated_conjecture, ( _def22(_u68, _u70) | ~r1(skolem35, _u68) | p2(_u68) )).
% 0.21/0.43 cnf(main-142, negated_conjecture, ( _def22(_u68, _u70) | ~p1(skolem35) )).
% 0.21/0.43 cnf(main-143, negated_conjecture, ( _def22(_u68, _u70) | ~p2(skolem34) )).
% 0.21/0.43 cnf(main-144, negated_conjecture, ( _def22(_u68, _u70) | p1(skolem34) )).
% 0.21/0.43 cnf(main-145, negated_conjecture, ( _def22(_u68, _u70) | ~r1(skolem34, _u70) | p1(_u70) )).
% 0.21/0.43 cnf(main-146, negated_conjecture, ( _def22(_u68, _u70) | p1(skolem34) )).
% 0.21/0.43 cnf(main-147, negated_conjecture, ( _def23(_u72, _u73) | r1(skolem1, skolem36) )).
% 0.21/0.43 cnf(main-148, negated_conjecture, ( _def23(_u72, _u73) | p2(skolem36) )).
% 0.21/0.43 cnf(main-149, negated_conjecture, ( _def23(_u72, _u73) | ~r1(skolem36, _u72) | p2(_u72) )).
% 0.21/0.43 cnf(main-150, negated_conjecture, ( _def23(_u72, _u73) | ~p1(skolem36) )).
% 0.21/0.43 cnf(main-151, negated_conjecture, ( _def23(_u72, _u73) | r1(skolem36, skolem37) )).
% 0.21/0.43 cnf(main-152, negated_conjecture, ( _def23(_u72, _u73) | ~p2(skolem37) )).
% 0.21/0.43 cnf(main-153, negated_conjecture, ( _def23(_u72, _u73) | p1(skolem37) )).
% 0.21/0.43 cnf(main-154, negated_conjecture, ( _def23(_u72, _u73) | ~r1(skolem37, _u73) | p1(_u73) )).
% 0.21/0.43 cnf(main-155, negated_conjecture, ( _def23(_u72, _u73) | p1(skolem37) )).
% 0.21/0.43 cnf(main-156, negated_conjecture, ( _def24(_u76, _u77) | r1(skolem1, skolem38) )).
% 0.21/0.43 cnf(main-157, negated_conjecture, ( _def24(_u76, _u77) | p2(skolem38) )).
% 0.21/0.43 cnf(main-158, negated_conjecture, ( _def24(_u76, _u77) | ~r1(skolem38, _u76) | p2(_u76) )).
% 0.21/0.43 cnf(main-159, negated_conjecture, ( _def24(_u76, _u77) | ~p1(skolem38) )).
% 0.21/0.43 cnf(main-160, negated_conjecture, ( _def24(_u76, _u77) | ~p2(skolem38) )).
% 0.21/0.43 cnf(main-161, negated_conjecture, ( _def24(_u76, _u77) | p1(skolem38) )).
% 0.21/0.43 cnf(main-162, negated_conjecture, ( _def24(_u76, _u77) | ~r1(skolem38, _u77) | p1(_u77) )).
% 0.21/0.43 cnf(main-163, negated_conjecture, ( _def24(_u76, _u77) | p1(skolem38) )).
% 0.21/0.43
% 0.21/0.43 % Problem matrix:
% 0.21/0.43 cnf(matrix-0, plain, ( ~r1(skolem1, _u1) | ~p6(_u1) | ~_def0(_u1) | p5(_u1) | ~r1(skolem1, _u3) | p6(_u3) | ~p5(_u3) | ~_def1(_u3) | ~_def2(_u4, _u6) | ~_def3(_u9, _u8) | ~_def4(_u12, _u13) )).
% 0.21/0.43 cnf(matrix-1, plain, ( ~r1(skolem1, _u16) | ~p5(_u16) | ~_def5(_u16) | p4(_u16) | ~r1(skolem1, _u18) | p5(_u18) | ~p4(_u18) | ~_def6(_u18) | ~_def7(_u21, _u19) | ~_def8(_u23, _u24) | ~_def9(_u28, _u27) )).
% 0.21/0.43 cnf(matrix-2, plain, ( ~r1(skolem1, _u31) | ~p4(_u31) | ~_def10(_u31) | p3(_u31) | ~r1(skolem1, _u33) | p4(_u33) | ~p3(_u33) | ~_def11(_u33) | ~_def12(_u36, _u34) | ~_def13(_u38, _u39) | ~_def14(_u42, _u43) )).
% 0.21/0.43 cnf(matrix-3, plain, ( ~r1(skolem1, _u46) | ~p3(_u46) | ~_def15(_u46) | p2(_u46) | ~r1(skolem1, _u48) | p3(_u48) | ~p2(_u48) | ~_def16(_u48) | ~_def17(_u51, _u49) | ~_def18(_u54, _u53) | ~_def19(_u58, _u57) )).
% 0.21/0.43 cnf(matrix-4, plain, ( r1(skolem1, skolem30) )).
% 0.21/0.43 cnf(matrix-5, plain, ( ~p5(skolem30) )).
% 0.21/0.43 cnf(matrix-6, plain, ( ~r1(skolem30, _u60) | p5(_u60) )).
% 0.21/0.43 cnf(matrix-7, plain, ( p5(skolem30) )).
% 0.21/0.43 cnf(matrix-8, plain, ( r1(skolem1, skolem31) )).
% 0.21/0.43 cnf(matrix-9, plain, ( ~p5(skolem31) )).
% 0.21/0.43 cnf(matrix-10, plain, ( ~r1(skolem31, _u62) | p5(_u62) )).
% 0.21/0.43 cnf(matrix-11, plain, ( p5(skolem31) )).
% 0.21/0.43 cnf(matrix-12, plain, ( ~r1(skolem1, _u65) | ~p2(_u65) | ~_def20(_u65) | p1(_u65) | ~r1(skolem1, _u67) | p2(_u67) | ~p1(_u67) | ~_def21(_u67) | ~_def22(_u68, _u70) | ~_def23(_u72, _u73) | ~_def24(_u76, _u77) )).
% 0.21/0.43 cnf(matrix-13, plain, ( _def0(_u1) | r1(_u1, skolem2(_u1)) )).
% 0.21/0.43 cnf(matrix-14, plain, ( _def0(_u1) | ~p6(skolem2(_u1)) )).
% 0.21/0.43 cnf(matrix-15, plain, ( _def1(_u3) | r1(_u3, skolem3(_u3)) )).
% 0.21/0.43 cnf(matrix-16, plain, ( _def1(_u3) | ~p5(skolem3(_u3)) )).
% 0.21/0.43 cnf(matrix-17, plain, ( _def2(_u4, _u6) | r1(skolem1, skolem4) )).
% 0.21/0.43 cnf(matrix-18, plain, ( _def2(_u4, _u6) | r1(skolem4, skolem5) )).
% 0.21/0.43 cnf(matrix-19, plain, ( _def2(_u4, _u6) | p6(skolem5) )).
% 0.21/0.43 cnf(matrix-20, plain, ( _def2(_u4, _u6) | ~r1(skolem5, _u4) | p6(_u4) )).
% 0.21/0.43 cnf(matrix-21, plain, ( _def2(_u4, _u6) | ~p5(skolem5) )).
% 0.21/0.43 cnf(matrix-22, plain, ( _def2(_u4, _u6) | ~p6(skolem4) )).
% 0.21/0.43 cnf(matrix-23, plain, ( _def2(_u4, _u6) | p5(skolem4) )).
% 0.21/0.43 cnf(matrix-24, plain, ( _def2(_u4, _u6) | ~r1(skolem4, _u6) | p5(_u6) )).
% 0.21/0.43 cnf(matrix-25, plain, ( _def2(_u4, _u6) | p5(skolem4) )).
% 0.21/0.43 cnf(matrix-26, plain, ( _def3(_u9, _u8) | r1(skolem1, skolem6) )).
% 0.21/0.43 cnf(matrix-27, plain, ( _def3(_u9, _u8) | p6(skolem6) )).
% 0.21/0.43 cnf(matrix-28, plain, ( _def3(_u9, _u8) | ~r1(skolem6, _u8) | p6(_u8) )).
% 0.21/0.43 cnf(matrix-29, plain, ( _def3(_u9, _u8) | ~p5(skolem6) )).
% 0.21/0.43 cnf(matrix-30, plain, ( _def3(_u9, _u8) | r1(skolem6, skolem7) )).
% 0.21/0.43 cnf(matrix-31, plain, ( _def3(_u9, _u8) | ~p6(skolem7) )).
% 0.21/0.43 cnf(matrix-32, plain, ( _def3(_u9, _u8) | p5(skolem7) )).
% 0.21/0.43 cnf(matrix-33, plain, ( _def3(_u9, _u8) | ~r1(skolem7, _u9) | p5(_u9) )).
% 0.21/0.43 cnf(matrix-34, plain, ( _def3(_u9, _u8) | p5(skolem7) )).
% 0.21/0.43 cnf(matrix-35, plain, ( _def4(_u12, _u13) | r1(skolem1, skolem8) )).
% 0.21/0.43 cnf(matrix-36, plain, ( _def4(_u12, _u13) | p6(skolem8) )).
% 0.21/0.43 cnf(matrix-37, plain, ( _def4(_u12, _u13) | ~r1(skolem8, _u12) | p6(_u12) )).
% 0.21/0.43 cnf(matrix-38, plain, ( _def4(_u12, _u13) | ~p5(skolem8) )).
% 0.21/0.43 cnf(matrix-39, plain, ( _def4(_u12, _u13) | ~p6(skolem8) )).
% 0.21/0.43 cnf(matrix-40, plain, ( _def4(_u12, _u13) | p5(skolem8) )).
% 0.21/0.43 cnf(matrix-41, plain, ( _def4(_u12, _u13) | ~r1(skolem8, _u13) | p5(_u13) )).
% 0.21/0.43 cnf(matrix-42, plain, ( _def4(_u12, _u13) | p5(skolem8) )).
% 0.21/0.43 cnf(matrix-43, plain, ( _def5(_u16) | r1(_u16, skolem9(_u16)) )).
% 0.21/0.43 cnf(matrix-44, plain, ( _def5(_u16) | ~p5(skolem9(_u16)) )).
% 0.21/0.43 cnf(matrix-45, plain, ( _def6(_u18) | r1(_u18, skolem10(_u18)) )).
% 0.21/0.43 cnf(matrix-46, plain, ( _def6(_u18) | ~p4(skolem10(_u18)) )).
% 0.21/0.43 cnf(matrix-47, plain, ( _def7(_u21, _u19) | r1(skolem1, skolem11) )).
% 0.21/0.43 cnf(matrix-48, plain, ( _def7(_u21, _u19) | r1(skolem11, skolem12) )).
% 0.21/0.43 cnf(matrix-49, plain, ( _def7(_u21, _u19) | p5(skolem12) )).
% 0.21/0.43 cnf(matrix-50, plain, ( _def7(_u21, _u19) | ~r1(skolem12, _u19) | p5(_u19) )).
% 0.21/0.43 cnf(matrix-51, plain, ( _def7(_u21, _u19) | ~p4(skolem12) )).
% 0.21/0.43 cnf(matrix-52, plain, ( _def7(_u21, _u19) | ~p5(skolem11) )).
% 0.21/0.43 cnf(matrix-53, plain, ( _def7(_u21, _u19) | p4(skolem11) )).
% 0.21/0.43 cnf(matrix-54, plain, ( _def7(_u21, _u19) | ~r1(skolem11, _u21) | p4(_u21) )).
% 0.21/0.43 cnf(matrix-55, plain, ( _def7(_u21, _u19) | p4(skolem11) )).
% 0.21/0.43 cnf(matrix-56, plain, ( _def8(_u23, _u24) | r1(skolem1, skolem13) )).
% 0.21/0.43 cnf(matrix-57, plain, ( _def8(_u23, _u24) | p5(skolem13) )).
% 0.21/0.43 cnf(matrix-58, plain, ( _def8(_u23, _u24) | ~r1(skolem13, _u23) | p5(_u23) )).
% 0.21/0.43 cnf(matrix-59, plain, ( _def8(_u23, _u24) | ~p4(skolem13) )).
% 0.21/0.43 cnf(matrix-60, plain, ( _def8(_u23, _u24) | r1(skolem13, skolem14) )).
% 0.21/0.43 cnf(matrix-61, plain, ( _def8(_u23, _u24) | ~p5(skolem14) )).
% 0.21/0.43 cnf(matrix-62, plain, ( _def8(_u23, _u24) | p4(skolem14) )).
% 0.21/0.43 cnf(matrix-63, plain, ( _def8(_u23, _u24) | ~r1(skolem14, _u24) | p4(_u24) )).
% 0.21/0.43 cnf(matrix-64, plain, ( _def8(_u23, _u24) | p4(skolem14) )).
% 0.21/0.43 cnf(matrix-65, plain, ( _def9(_u28, _u27) | r1(skolem1, skolem15) )).
% 0.21/0.43 cnf(matrix-66, plain, ( _def9(_u28, _u27) | p5(skolem15) )).
% 0.21/0.43 cnf(matrix-67, plain, ( _def9(_u28, _u27) | ~r1(skolem15, _u27) | p5(_u27) )).
% 0.21/0.43 cnf(matrix-68, plain, ( _def9(_u28, _u27) | ~p4(skolem15) )).
% 0.21/0.43 cnf(matrix-69, plain, ( _def9(_u28, _u27) | ~p5(skolem15) )).
% 0.21/0.43 cnf(matrix-70, plain, ( _def9(_u28, _u27) | p4(skolem15) )).
% 0.21/0.43 cnf(matrix-71, plain, ( _def9(_u28, _u27) | ~r1(skolem15, _u28) | p4(_u28) )).
% 0.21/0.43 cnf(matrix-72, plain, ( _def9(_u28, _u27) | p4(skolem15) )).
% 0.21/0.43 cnf(matrix-73, plain, ( _def10(_u31) | r1(_u31, skolem16(_u31)) )).
% 0.21/0.43 cnf(matrix-74, plain, ( _def10(_u31) | ~p4(skolem16(_u31)) )).
% 0.21/0.43 cnf(matrix-75, plain, ( _def11(_u33) | r1(_u33, skolem17(_u33)) )).
% 0.21/0.43 cnf(matrix-76, plain, ( _def11(_u33) | ~p3(skolem17(_u33)) )).
% 0.21/0.43 cnf(matrix-77, plain, ( _def12(_u36, _u34) | r1(skolem1, skolem18) )).
% 0.21/0.43 cnf(matrix-78, plain, ( _def12(_u36, _u34) | r1(skolem18, skolem19) )).
% 0.21/0.43 cnf(matrix-79, plain, ( _def12(_u36, _u34) | p4(skolem19) )).
% 0.21/0.43 cnf(matrix-80, plain, ( _def12(_u36, _u34) | ~r1(skolem19, _u34) | p4(_u34) )).
% 0.21/0.43 cnf(matrix-81, plain, ( _def12(_u36, _u34) | ~p3(skolem19) )).
% 0.21/0.43 cnf(matrix-82, plain, ( _def12(_u36, _u34) | ~p4(skolem18) )).
% 0.21/0.43 cnf(matrix-83, plain, ( _def12(_u36, _u34) | p3(skolem18) )).
% 0.21/0.43 cnf(matrix-84, plain, ( _def12(_u36, _u34) | ~r1(skolem18, _u36) | p3(_u36) )).
% 0.21/0.43 cnf(matrix-85, plain, ( _def12(_u36, _u34) | p3(skolem18) )).
% 0.21/0.43 cnf(matrix-86, plain, ( _def13(_u38, _u39) | r1(skolem1, skolem20) )).
% 0.21/0.43 cnf(matrix-87, plain, ( _def13(_u38, _u39) | p4(skolem20) )).
% 0.21/0.43 cnf(matrix-88, plain, ( _def13(_u38, _u39) | ~r1(skolem20, _u38) | p4(_u38) )).
% 0.21/0.43 cnf(matrix-89, plain, ( _def13(_u38, _u39) | ~p3(skolem20) )).
% 0.21/0.43 cnf(matrix-90, plain, ( _def13(_u38, _u39) | r1(skolem20, skolem21) )).
% 0.21/0.43 cnf(matrix-91, plain, ( _def13(_u38, _u39) | ~p4(skolem21) )).
% 0.21/0.43 cnf(matrix-92, plain, ( _def13(_u38, _u39) | p3(skolem21) )).
% 0.21/0.43 cnf(matrix-93, plain, ( _def13(_u38, _u39) | ~r1(skolem21, _u39) | p3(_u39) )).
% 0.21/0.43 cnf(matrix-94, plain, ( _def13(_u38, _u39) | p3(skolem21) )).
% 0.21/0.43 cnf(matrix-95, plain, ( _def14(_u42, _u43) | r1(skolem1, skolem22) )).
% 0.21/0.43 cnf(matrix-96, plain, ( _def14(_u42, _u43) | p4(skolem22) )).
% 0.21/0.43 cnf(matrix-97, plain, ( _def14(_u42, _u43) | ~r1(skolem22, _u42) | p4(_u42) )).
% 0.21/0.43 cnf(matrix-98, plain, ( _def14(_u42, _u43) | ~p3(skolem22) )).
% 0.21/0.43 cnf(matrix-99, plain, ( _def14(_u42, _u43) | ~p4(skolem22) )).
% 0.21/0.43 cnf(matrix-100, plain, ( _def14(_u42, _u43) | p3(skolem22) )).
% 0.21/0.43 cnf(matrix-101, plain, ( _def14(_u42, _u43) | ~r1(skolem22, _u43) | p3(_u43) )).
% 0.21/0.43 cnf(matrix-102, plain, ( _def14(_u42, _u43) | p3(skolem22) )).
% 0.21/0.43 cnf(matrix-103, plain, ( _def15(_u46) | r1(_u46, skolem23(_u46)) )).
% 0.21/0.43 cnf(matrix-104, plain, ( _def15(_u46) | ~p3(skolem23(_u46)) )).
% 0.21/0.43 cnf(matrix-105, plain, ( _def16(_u48) | r1(_u48, skolem24(_u48)) )).
% 0.21/0.43 cnf(matrix-106, plain, ( _def16(_u48) | ~p2(skolem24(_u48)) )).
% 0.21/0.43 cnf(matrix-107, plain, ( _def17(_u51, _u49) | r1(skolem1, skolem25) )).
% 0.21/0.43 cnf(matrix-108, plain, ( _def17(_u51, _u49) | r1(skolem25, skolem26) )).
% 0.21/0.43 cnf(matrix-109, plain, ( _def17(_u51, _u49) | p3(skolem26) )).
% 0.21/0.43 cnf(matrix-110, plain, ( _def17(_u51, _u49) | ~r1(skolem26, _u49) | p3(_u49) )).
% 0.21/0.43 cnf(matrix-111, plain, ( _def17(_u51, _u49) | ~p2(skolem26) )).
% 0.21/0.43 cnf(matrix-112, plain, ( _def17(_u51, _u49) | ~p3(skolem25) )).
% 0.21/0.43 cnf(matrix-113, plain, ( _def17(_u51, _u49) | p2(skolem25) )).
% 0.21/0.43 cnf(matrix-114, plain, ( _def17(_u51, _u49) | ~r1(skolem25, _u51) | p2(_u51) )).
% 0.21/0.43 cnf(matrix-115, plain, ( _def17(_u51, _u49) | p2(skolem25) )).
% 0.21/0.43 cnf(matrix-116, plain, ( _def18(_u54, _u53) | r1(skolem1, skolem27) )).
% 0.21/0.43 cnf(matrix-117, plain, ( _def18(_u54, _u53) | p3(skolem27) )).
% 0.21/0.43 cnf(matrix-118, plain, ( _def18(_u54, _u53) | ~r1(skolem27, _u53) | p3(_u53) )).
% 0.21/0.43 cnf(matrix-119, plain, ( _def18(_u54, _u53) | ~p2(skolem27) )).
% 0.21/0.43 cnf(matrix-120, plain, ( _def18(_u54, _u53) | r1(skolem27, skolem28) )).
% 0.21/0.43 cnf(matrix-121, plain, ( _def18(_u54, _u53) | ~p3(skolem28) )).
% 0.21/0.43 cnf(matrix-122, plain, ( _def18(_u54, _u53) | p2(skolem28) )).
% 0.21/0.43 cnf(matrix-123, plain, ( _def18(_u54, _u53) | ~r1(skolem28, _u54) | p2(_u54) )).
% 0.21/0.43 cnf(matrix-124, plain, ( _def18(_u54, _u53) | p2(skolem28) )).
% 0.21/0.43 cnf(matrix-125, plain, ( _def19(_u58, _u57) | r1(skolem1, skolem29) )).
% 0.21/0.43 cnf(matrix-126, plain, ( _def19(_u58, _u57) | p3(skolem29) )).
% 0.21/0.43 cnf(matrix-127, plain, ( _def19(_u58, _u57) | ~r1(skolem29, _u57) | p3(_u57) )).
% 0.21/0.43 cnf(matrix-128, plain, ( _def19(_u58, _u57) | ~p2(skolem29) )).
% 0.21/0.43 cnf(matrix-129, plain, ( _def19(_u58, _u57) | ~p3(skolem29) )).
% 0.21/0.43 cnf(matrix-130, plain, ( _def19(_u58, _u57) | p2(skolem29) )).
% 0.21/0.43 cnf(matrix-131, plain, ( _def19(_u58, _u57) | ~r1(skolem29, _u58) | p2(_u58) )).
% 0.21/0.43 cnf(matrix-132, plain, ( _def19(_u58, _u57) | p2(skolem29) )).
% 0.21/0.43 cnf(matrix-133, plain, ( _def20(_u65) | r1(_u65, skolem32(_u65)) )).
% 0.21/0.43 cnf(matrix-134, plain, ( _def20(_u65) | ~p2(skolem32(_u65)) )).
% 0.21/0.43 cnf(matrix-135, plain, ( _def21(_u67) | r1(_u67, skolem33(_u67)) )).
% 0.21/0.43 cnf(matrix-136, plain, ( _def21(_u67) | ~p1(skolem33(_u67)) )).
% 0.21/0.43 cnf(matrix-137, plain, ( _def22(_u68, _u70) | r1(skolem1, skolem34) )).
% 0.21/0.43 cnf(matrix-138, plain, ( _def22(_u68, _u70) | r1(skolem34, skolem35) )).
% 0.21/0.43 cnf(matrix-139, plain, ( _def22(_u68, _u70) | p2(skolem35) )).
% 0.21/0.43 cnf(matrix-140, plain, ( _def22(_u68, _u70) | ~r1(skolem35, _u68) | p2(_u68) )).
% 0.21/0.43 cnf(matrix-141, plain, ( _def22(_u68, _u70) | ~p1(skolem35) )).
% 0.21/0.43 cnf(matrix-142, plain, ( _def22(_u68, _u70) | ~p2(skolem34) )).
% 0.21/0.43 cnf(matrix-143, plain, ( _def22(_u68, _u70) | p1(skolem34) )).
% 0.21/0.43 cnf(matrix-144, plain, ( _def22(_u68, _u70) | ~r1(skolem34, _u70) | p1(_u70) )).
% 0.21/0.43 cnf(matrix-145, plain, ( _def22(_u68, _u70) | p1(skolem34) )).
% 0.21/0.43 cnf(matrix-146, plain, ( _def23(_u72, _u73) | r1(skolem1, skolem36) )).
% 0.21/0.43 cnf(matrix-147, plain, ( _def23(_u72, _u73) | p2(skolem36) )).
% 0.21/0.43 cnf(matrix-148, plain, ( _def23(_u72, _u73) | ~r1(skolem36, _u72) | p2(_u72) )).
% 0.21/0.43 cnf(matrix-149, plain, ( _def23(_u72, _u73) | ~p1(skolem36) )).
% 0.21/0.43 cnf(matrix-150, plain, ( _def23(_u72, _u73) | r1(skolem36, skolem37) )).
% 0.21/0.43 cnf(matrix-151, plain, ( _def23(_u72, _u73) | ~p2(skolem37) )).
% 0.21/0.43 cnf(matrix-152, plain, ( _def23(_u72, _u73) | p1(skolem37) )).
% 0.21/0.43 cnf(matrix-153, plain, ( _def23(_u72, _u73) | ~r1(skolem37, _u73) | p1(_u73) )).
% 0.21/0.43 cnf(matrix-154, plain, ( _def23(_u72, _u73) | p1(skolem37) )).
% 0.21/0.43 cnf(matrix-155, plain, ( _def24(_u76, _u77) | r1(skolem1, skolem38) )).
% 0.21/0.43 cnf(matrix-156, plain, ( _def24(_u76, _u77) | p2(skolem38) )).
% 0.21/0.43 cnf(matrix-157, plain, ( _def24(_u76, _u77) | ~r1(skolem38, _u76) | p2(_u76) )).
% 0.21/0.43 cnf(matrix-158, plain, ( _def24(_u76, _u77) | ~p1(skolem38) )).
% 0.21/0.43 cnf(matrix-159, plain, ( _def24(_u76, _u77) | ~p2(skolem38) )).
% 0.21/0.43 cnf(matrix-160, plain, ( _def24(_u76, _u77) | p1(skolem38) )).
% 0.21/0.43 cnf(matrix-161, plain, ( _def24(_u76, _u77) | ~r1(skolem38, _u77) | p1(_u77) )).
% 0.21/0.43 cnf(matrix-162, plain, ( _def24(_u76, _u77) | p1(skolem38) )).
% 0.21/0.43
% 0.21/0.43 % Proof stack:
% 0.21/0.43 cnf(proof-stack, plain,
% 0.21/0.43 proof_stack(
% 0.21/0.43 start(5),
% 0.21/0.43 left_branch(0, 7, 0, 2),
% 0.21/0.43 right_branch(2)
% 0.21/0.43 )).
% 0.21/0.43 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------