%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM842+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:53:24 AM UTC 2026
% Result : Theorem 264.20s 264.67s
% Output : Proof 265.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM842+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.51 % Computer : n015.cluster.edu
% 0.10/0.51 % Model : x86_64 x86_64
% 0.10/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.51 % Memory : 8046.5625MB
% 0.10/0.51 % OS : Linux 6.8.0-71-generic
% 0.10/0.51 % CPULimit : 300
% 0.10/0.51 % WCLimit : 300
% 0.10/0.51 % DateTime : Sat Sep 19 19:24:19 UTC 2026
% 0.10/0.51 % CPUTime :
% 264.20/264.67 % SZS status Theorem for theBenchmark
% 264.20/264.67 % SZS output start Proof for theBenchmark
% 265.51/265.95 fof(holds(conseq(218), 361, 0), conjecture,
% 265.51/265.95 greater(vplus(vd353, vd355), vplus(vd354, vd356)),
% 265.51/265.95 file('theBenchmark.p', holds(conseq(218), 361, 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(dis(antec(218)), axiom,
% 265.51/265.95 ( ( greater(vd355, vd356) & geq(vd353, vd354) ) | ( geq(vd355, vd356) & greater(vd353, vd354) ) ),
% 265.51/265.95 file('theBenchmark.p', dis(antec(218))) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(209, 0), 0), axiom,
% 265.51/265.95 ! [ Vd337,Vd338,Vd340,Vd341 ] : ( ( greater(Vd340, Vd341) & greater(Vd337, Vd338) ) => greater(vplus(Vd337, Vd340), vplus(Vd338, Vd341)) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(209, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(202), 0), 0), axiom,
% 265.51/265.95 ! [ Vd328,Vd329,Vd330 ] : ( less(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) => less(Vd328, Vd329) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(202), 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(202), 0), 1), axiom,
% 265.51/265.95 ! [ Vd328,Vd329,Vd330 ] : ( vplus(Vd328, Vd330) = vplus(Vd329, Vd330) => Vd328 = Vd329 ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(202), 0), 1)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(202), 0), 2), axiom,
% 265.51/265.95 ! [ Vd328,Vd329,Vd330 ] : ( greater(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) => greater(Vd328, Vd329) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(202), 0), 2)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(193), 0), 0), axiom,
% 265.51/265.95 ! [ Vd301,Vd302,Vd303 ] : ( less(Vd301, Vd302) => less(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(193), 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(193), 0), 1), axiom,
% 265.51/265.95 ! [ Vd301,Vd302,Vd303 ] : ( Vd301 = Vd302 => vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(193), 0), 1)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(193), 0), 2), axiom,
% 265.51/265.95 ! [ Vd301,Vd302,Vd303 ] : ( greater(Vd301, Vd302) => greater(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(193), 0), 2)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(189, 0), 0), axiom,
% 265.51/265.95 ! [ Vd295,Vd296 ] : greater(vplus(Vd295, Vd296), Vd295),
% 265.51/265.95 file('theBenchmark.p', ass(cond(189, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(184, 0), 0), axiom,
% 265.51/265.95 ! [ Vd289,Vd290,Vd292 ] : ( ( leq(Vd290, Vd292) & leq(Vd289, Vd290) ) => leq(Vd289, Vd292) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(184, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(177), 0), 0), axiom,
% 265.51/265.95 ! [ Vd281,Vd282,Vd283 ] : ( ( ( less(Vd282, Vd283) & leq(Vd281, Vd282) ) | ( leq(Vd282, Vd283) & less(Vd281, Vd282) ) ) => less(Vd281, Vd283) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(177), 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(168, 0), 0), axiom,
% 265.51/265.95 ! [ Vd262,Vd263,Vd265 ] : ( ( less(Vd263, Vd265) & less(Vd262, Vd263) ) => less(Vd262, Vd265) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(168, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(163, 0), 0), axiom,
% 265.51/265.95 ! [ Vd258,Vd259 ] : ( leq(Vd258, Vd259) => geq(Vd259, Vd258) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(163, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(158, 0), 0), axiom,
% 265.51/265.95 ! [ Vd254,Vd255 ] : ( geq(Vd254, Vd255) => leq(Vd255, Vd254) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(158, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(def(cond(conseq(axiom(3)), 17), 1), axiom,
% 265.51/265.95 ! [ Vd249,Vd250 ] : ( leq(Vd250, Vd249) <=> ( less(Vd250, Vd249) | Vd250 = Vd249 ) ),
% 265.51/265.95 file('theBenchmark.p', def(cond(conseq(axiom(3)), 17), 1)) ).
% 265.51/265.95
% 265.51/265.95 fof(def(cond(conseq(axiom(3)), 16), 1), axiom,
% 265.51/265.95 ! [ Vd244,Vd245 ] : ( geq(Vd245, Vd244) <=> ( greater(Vd245, Vd244) | Vd245 = Vd244 ) ),
% 265.51/265.95 file('theBenchmark.p', def(cond(conseq(axiom(3)), 16), 1)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(147, 0), 0), axiom,
% 265.51/265.95 ! [ Vd226,Vd227 ] : ( less(Vd226, Vd227) => greater(Vd227, Vd226) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(147, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(140, 0), 0), axiom,
% 265.51/265.95 ! [ Vd208,Vd209 ] : ( greater(Vd208, Vd209) => less(Vd209, Vd208) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(140, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(130), 0), 0), axiom,
% 265.51/265.95 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(130), 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(130), 0), 1), axiom,
% 265.51/265.95 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( less(Vd203, Vd204) ) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(130), 0), 1)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(130), 0), 2), axiom,
% 265.51/265.95 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(130), 0), 2)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(130), 0), 3), axiom,
% 265.51/265.95 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(130), 0), 3)) ).
% 265.51/265.95
% 265.51/265.95 fof(def(cond(conseq(axiom(3)), 12), 1), axiom,
% 265.51/265.95 ! [ Vd198,Vd199 ] : ( less(Vd199, Vd198) <=> ? [ Vd201 ] : Vd198 = vplus(Vd199, Vd201) ),
% 265.51/265.95 file('theBenchmark.p', def(cond(conseq(axiom(3)), 12), 1)) ).
% 265.51/265.95
% 265.51/265.95 fof(def(cond(conseq(axiom(3)), 11), 1), axiom,
% 265.51/265.95 ! [ Vd193,Vd194 ] : ( greater(Vd194, Vd193) <=> ? [ Vd196 ] : Vd194 = vplus(Vd193, Vd196) ),
% 265.51/265.95 file('theBenchmark.p', def(cond(conseq(axiom(3)), 11), 1)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(88), 0), 0), axiom,
% 265.51/265.95 ! [ Vd120,Vd121 ] : ( Vd120 = Vd121 | ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) | ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(88), 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(88), 0), 1), axiom,
% 265.51/265.95 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ~( ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(88), 0), 1)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(88), 0), 2), axiom,
% 265.51/265.95 ! [ Vd120,Vd121 ] : ( ~( ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) ) | ~( ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(88), 0), 2)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(goal(88), 0), 3), axiom,
% 265.51/265.95 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ~( ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) ) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(goal(88), 0), 3)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(81, 0), 0), axiom,
% 265.51/265.95 ! [ Vd104,Vd105 ] : ( ~( Vd104 = Vd105 ) => ! [ Vd107 ] : ~( vplus(Vd107, Vd104) = vplus(Vd107, Vd105) ) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(81, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(73, 0), 0), axiom,
% 265.51/265.95 ! [ Vd92,Vd93 ] : ~( Vd93 = vplus(Vd92, Vd93) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(73, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(61, 0), 0), axiom,
% 265.51/265.95 ! [ Vd78,Vd79 ] : vplus(Vd79, Vd78) = vplus(Vd78, Vd79),
% 265.51/265.95 file('theBenchmark.p', ass(cond(61, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(52, 0), 0), axiom,
% 265.51/265.95 ! [ Vd68,Vd69 ] : vplus(vsucc(Vd68), Vd69) = vsucc(vplus(Vd68, Vd69)),
% 265.51/265.95 file('theBenchmark.p', ass(cond(52, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(43, 0), 0), axiom,
% 265.51/265.95 ! [ Vd59 ] : vplus(v1, Vd59) = vsucc(Vd59),
% 265.51/265.95 file('theBenchmark.p', ass(cond(43, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(33, 0), 0), axiom,
% 265.51/265.95 ! [ Vd46,Vd47,Vd48 ] : vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)),
% 265.51/265.95 file('theBenchmark.p', ass(cond(33, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))), axiom,
% 265.51/265.95 ! [ Vd42,Vd43 ] : ( vplus(Vd42, vsucc(Vd43)) = vsucc(vplus(Vd42, Vd43)) & vplus(Vd42, v1) = vsucc(Vd42) ),
% 265.51/265.95 file('theBenchmark.p', qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(20, 0), 0), axiom,
% 265.51/265.95 ! [ Vd24 ] : ( ~( Vd24 = v1 ) => Vd24 = vsucc(vskolem2(Vd24)) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(20, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(12, 0), 0), axiom,
% 265.51/265.95 ! [ Vd16 ] : ~( vsucc(Vd16) = Vd16 ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(12, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(ass(cond(6, 0), 0), axiom,
% 265.51/265.95 ! [ Vd7,Vd8 ] : ( ~( Vd7 = Vd8 ) => ~( vsucc(Vd7) = vsucc(Vd8) ) ),
% 265.51/265.95 file('theBenchmark.p', ass(cond(6, 0), 0)) ).
% 265.51/265.95
% 265.51/265.95 fof(qu(antec(axiom(3)), imp(antec(axiom(3)))), axiom,
% 265.51/265.95 ! [ Vd3,Vd4 ] : ( vsucc(Vd3) = vsucc(Vd4) => Vd3 = Vd4 ),
% 265.51/265.95 file('theBenchmark.p', qu(antec(axiom(3)), imp(antec(axiom(3))))) ).
% 265.51/265.95
% 265.51/265.95 fof(qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0)), axiom,
% 265.51/265.95 ! [ Vd1 ] : ~( vsucc(Vd1) = v1 ),
% 265.51/265.95 file('theBenchmark.p', qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))) ).
% 265.51/265.95
% 265.51/265.95 fof(f_1_1, negated_conjecture,
% 265.51/265.95 ~( greater(vplus(vd353, vd355), vplus(vd354, vd356)) ),
% 265.51/265.95 inference(negate,[status(cth)],[holds(conseq(218), 361, 0)]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_1_2, negated_conjecture,
% 265.51/265.95 ( ~greater(vplus(vd353, vd355), vplus(vd354, vd356)) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_1_1]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_2_1, plain,
% 265.51/265.95 ( ( greater(vd355, vd356) & geq(vd353, vd354) ) | ( geq(vd355, vd356) & greater(vd353, vd354) ) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[dis(antec(218))]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_2_2, plain,
% 265.51/265.95 ( greater(vd355, vd356) | geq(vd355, vd356) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_2_1]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_2_3, plain,
% 265.51/265.95 ( greater(vd355, vd356) | greater(vd353, vd354) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_2_1]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_2_4, plain,
% 265.51/265.95 ( geq(vd353, vd354) | geq(vd355, vd356) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_2_1]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_2_5, plain,
% 265.51/265.95 ( geq(vd353, vd354) | greater(vd353, vd354) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_2_1]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_3_1, plain,
% 265.51/265.95 ! [ Vd337,Vd338,Vd340,Vd341 ] : ( ( ~( greater(Vd340, Vd341) ) | ~( greater(Vd337, Vd338) ) ) | greater(vplus(Vd337, Vd340), vplus(Vd338, Vd341)) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(209, 0), 0)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_3_2, plain,
% 265.51/265.95 ! [ U_3,U_2,U_1,U_0 ] : ( ( ~( greater(U_1, U_0) ) | ~( greater(U_3, U_2) ) ) | greater(vplus(U_3, U_1), vplus(U_2, U_0)) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_3_1]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_3_3, plain,
% 265.51/265.95 ( ~greater(U_1, U_0) | ~greater(U_3, U_2) | greater(vplus(U_3, U_1), vplus(U_2, U_0)) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_3_2]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_4_1, plain,
% 265.51/265.95 ! [ Vd328,Vd329,Vd330 ] : ( ~( less(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) ) | less(Vd328, Vd329) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 0)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_4_2, plain,
% 265.51/265.95 ! [ U_6,U_5,U_4 ] : ( ~( less(vplus(U_6, U_4), vplus(U_5, U_4)) ) | less(U_6, U_5) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_4_1]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_4_3, plain,
% 265.51/265.95 ! [ U_6,U_5 ] : ( less(U_6, U_5) | ! [ U_4 ] : ~( less(vplus(U_6, U_4), vplus(U_5, U_4)) ) ),
% 265.51/265.95 inference(miniscope,[status(thm)],[f_4_2]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_4_4, plain,
% 265.51/265.95 ( less(U_6, U_5) | ~less(vplus(U_6, U_4), vplus(U_5, U_4)) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_4_3]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_5_1, plain,
% 265.51/265.95 ! [ Vd328,Vd329,Vd330 ] : ( ~( vplus(Vd328, Vd330) = vplus(Vd329, Vd330) ) | Vd328 = Vd329 ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 1)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_5_2, plain,
% 265.51/265.95 ! [ U_9,U_8,U_7 ] : ( ~( vplus(U_9, U_7) = vplus(U_8, U_7) ) | U_9 = U_8 ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_5_1]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_5_3, plain,
% 265.51/265.95 ! [ U_9,U_8 ] : ( U_9 = U_8 | ! [ U_7 ] : ~( vplus(U_9, U_7) = vplus(U_8, U_7) ) ),
% 265.51/265.95 inference(miniscope,[status(thm)],[f_5_2]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_5_4, plain,
% 265.51/265.95 ( U_9 = U_8 | vplus(U_9, U_7) != vplus(U_8, U_7) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_5_3]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_6_1, plain,
% 265.51/265.95 ! [ Vd328,Vd329,Vd330 ] : ( ~( greater(vplus(Vd328, Vd330), vplus(Vd329, Vd330)) ) | greater(Vd328, Vd329) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(goal(202), 0), 2)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_6_2, plain,
% 265.51/265.95 ! [ U_12,U_11,U_10 ] : ( ~( greater(vplus(U_12, U_10), vplus(U_11, U_10)) ) | greater(U_12, U_11) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_6_1]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_6_3, plain,
% 265.51/265.95 ! [ U_12,U_11 ] : ( greater(U_12, U_11) | ! [ U_10 ] : ~( greater(vplus(U_12, U_10), vplus(U_11, U_10)) ) ),
% 265.51/265.95 inference(miniscope,[status(thm)],[f_6_2]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_6_4, plain,
% 265.51/265.95 ( greater(U_12, U_11) | ~greater(vplus(U_12, U_10), vplus(U_11, U_10)) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_6_3]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_7_1, plain,
% 265.51/265.95 ! [ Vd301,Vd302,Vd303 ] : ( ~( less(Vd301, Vd302) ) | less(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 0)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_7_2, plain,
% 265.51/265.95 ! [ U_15,U_14,U_13 ] : ( ~( less(U_15, U_14) ) | less(vplus(U_15, U_13), vplus(U_14, U_13)) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_7_1]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_7_3, plain,
% 265.51/265.95 ! [ U_15,U_14 ] : ( ~( less(U_15, U_14) ) | ! [ U_13 ] : less(vplus(U_15, U_13), vplus(U_14, U_13)) ),
% 265.51/265.95 inference(miniscope,[status(thm)],[f_7_2]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_7_4, plain,
% 265.51/265.95 ( ~less(U_15, U_14) | less(vplus(U_15, U_13), vplus(U_14, U_13)) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_7_3]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_8_1, plain,
% 265.51/265.95 ! [ Vd301,Vd302,Vd303 ] : ( ~( Vd301 = Vd302 ) | vplus(Vd301, Vd303) = vplus(Vd302, Vd303) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 1)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_8_2, plain,
% 265.51/265.95 ! [ U_18,U_17,U_16 ] : ( ~( U_18 = U_17 ) | vplus(U_18, U_16) = vplus(U_17, U_16) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_8_1]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_8_3, plain,
% 265.51/265.95 ! [ U_18,U_17 ] : ( ~( U_18 = U_17 ) | ! [ U_16 ] : vplus(U_18, U_16) = vplus(U_17, U_16) ),
% 265.51/265.95 inference(miniscope,[status(thm)],[f_8_2]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_8_4, plain,
% 265.51/265.95 ( U_18 != U_17 | vplus(U_18, U_16) = vplus(U_17, U_16) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_8_3]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_9_1, plain,
% 265.51/265.95 ! [ Vd301,Vd302,Vd303 ] : ( ~( greater(Vd301, Vd302) ) | greater(vplus(Vd301, Vd303), vplus(Vd302, Vd303)) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(goal(193), 0), 2)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_9_2, plain,
% 265.51/265.95 ! [ U_21,U_20,U_19 ] : ( ~( greater(U_21, U_20) ) | greater(vplus(U_21, U_19), vplus(U_20, U_19)) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_9_1]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_9_3, plain,
% 265.51/265.95 ! [ U_21,U_20 ] : ( ~( greater(U_21, U_20) ) | ! [ U_19 ] : greater(vplus(U_21, U_19), vplus(U_20, U_19)) ),
% 265.51/265.95 inference(miniscope,[status(thm)],[f_9_2]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_9_4, plain,
% 265.51/265.95 ( ~greater(U_21, U_20) | greater(vplus(U_21, U_19), vplus(U_20, U_19)) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_9_3]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_10_1, plain,
% 265.51/265.95 ! [ Vd295,Vd296 ] : greater(vplus(Vd295, Vd296), Vd295),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(189, 0), 0)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_10_2, plain,
% 265.51/265.95 ! [ U_23,U_22 ] : greater(vplus(U_23, U_22), U_23),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_10_1]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_10_3, plain,
% 265.51/265.95 ( greater(vplus(U_23, U_22), U_23) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_10_2]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_11_1, plain,
% 265.51/265.95 ! [ Vd289,Vd290,Vd292 ] : ( ( ~( leq(Vd290, Vd292) ) | ~( leq(Vd289, Vd290) ) ) | leq(Vd289, Vd292) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(184, 0), 0)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_11_2, plain,
% 265.51/265.95 ! [ U_26,U_25,U_24 ] : ( ( ~( leq(U_25, U_24) ) | ~( leq(U_26, U_25) ) ) | leq(U_26, U_24) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_11_1]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_11_3, plain,
% 265.51/265.95 ( ~leq(U_25, U_24) | ~leq(U_26, U_25) | leq(U_26, U_24) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_11_2]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_12_1, plain,
% 265.51/265.95 ! [ Vd281,Vd282,Vd283 ] : ( ( ( ~( less(Vd282, Vd283) ) | ~( leq(Vd281, Vd282) ) ) & ( ~( leq(Vd282, Vd283) ) | ~( less(Vd281, Vd282) ) ) ) | less(Vd281, Vd283) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(goal(177), 0), 0)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_12_2, plain,
% 265.51/265.95 ! [ U_29,U_28,U_27 ] : ( ( ( ~( less(U_28, U_27) ) | ~( leq(U_29, U_28) ) ) & ( ~( leq(U_28, U_27) ) | ~( less(U_29, U_28) ) ) ) | less(U_29, U_27) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_12_1]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_12_3, plain,
% 265.51/265.95 ( less(U_29, U_27) | ~less(U_28, U_27) | ~leq(U_29, U_28) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_12_2]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_12_4, plain,
% 265.51/265.95 ( less(U_29, U_27) | ~leq(U_28, U_27) | ~less(U_29, U_28) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_12_2]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_13_1, plain,
% 265.51/265.95 ! [ Vd262,Vd263,Vd265 ] : ( ( ~( less(Vd263, Vd265) ) | ~( less(Vd262, Vd263) ) ) | less(Vd262, Vd265) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(168, 0), 0)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_13_2, plain,
% 265.51/265.95 ! [ U_32,U_31,U_30 ] : ( ( ~( less(U_31, U_30) ) | ~( less(U_32, U_31) ) ) | less(U_32, U_30) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_13_1]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_13_3, plain,
% 265.51/265.95 ( ~less(U_31, U_30) | ~less(U_32, U_31) | less(U_32, U_30) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_13_2]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_14_1, plain,
% 265.51/265.95 ! [ Vd258,Vd259 ] : ( ~( leq(Vd258, Vd259) ) | geq(Vd259, Vd258) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(163, 0), 0)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_14_2, plain,
% 265.51/265.95 ! [ U_34,U_33 ] : ( ~( leq(U_34, U_33) ) | geq(U_33, U_34) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_14_1]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_14_3, plain,
% 265.51/265.95 ( ~leq(U_34, U_33) | geq(U_33, U_34) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_14_2]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_15_1, plain,
% 265.51/265.95 ! [ Vd254,Vd255 ] : ( ~( geq(Vd254, Vd255) ) | leq(Vd255, Vd254) ),
% 265.51/265.95 inference(fof_nnf,[status(thm)],[ass(cond(158, 0), 0)]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_15_2, plain,
% 265.51/265.95 ! [ U_36,U_35 ] : ( ~( geq(U_36, U_35) ) | leq(U_35, U_36) ),
% 265.51/265.95 inference(variable_rename,[status(thm)],[f_15_1]) ).
% 265.51/265.95
% 265.51/265.95 cnf(f_15_3, plain,
% 265.51/265.95 ( ~geq(U_36, U_35) | leq(U_35, U_36) ),
% 265.51/265.95 inference(clausify,[status(thm)],[f_15_2]) ).
% 265.51/265.95
% 265.51/265.95 fof(f_16_1, plain,
% 265.51/265.95 ! [ Vd249,Vd250 ] : ( ( ~( leq(Vd250, Vd249) ) | ( less(Vd250, Vd249) | Vd250 = Vd249 ) ) & ( ( ~( less(Vd250, Vd249) ) & ~( Vd250 = Vd249 ) ) | leq(Vd250, Vd249) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 17), 1)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_16_2, plain,
% 265.51/265.96 ! [ U_38,U_37 ] : ( ( ~( leq(U_37, U_38) ) | ( less(U_37, U_38) | U_37 = U_38 ) ) & ( ( ~( less(U_37, U_38) ) & ~( U_37 = U_38 ) ) | leq(U_37, U_38) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_16_1]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_16_3, plain,
% 265.51/265.96 ( ! [ U_41,U_39 ] : ( ~( leq(U_39, U_41) ) | ( less(U_39, U_41) | U_39 = U_41 ) ) & ! [ U_42,U_40 ] : ( ( ~( less(U_40, U_42) ) & ~( U_40 = U_42 ) ) | leq(U_40, U_42) ) ),
% 265.51/265.96 inference(miniscope,[status(thm)],[f_16_2]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_16_4, plain,
% 265.51/265.96 ( ~leq(U_39, U_41) | less(U_39, U_41) | U_39 = U_41 ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_16_3]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_16_5, plain,
% 265.51/265.96 ( leq(U_40, U_42) | ~less(U_40, U_42) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_16_3]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_16_6, plain,
% 265.51/265.96 ( leq(U_40, U_42) | U_40 != U_42 ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_16_3]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_17_1, plain,
% 265.51/265.96 ! [ Vd244,Vd245 ] : ( ( ~( geq(Vd245, Vd244) ) | ( greater(Vd245, Vd244) | Vd245 = Vd244 ) ) & ( ( ~( greater(Vd245, Vd244) ) & ~( Vd245 = Vd244 ) ) | geq(Vd245, Vd244) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 16), 1)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_17_2, plain,
% 265.51/265.96 ! [ U_44,U_43 ] : ( ( ~( geq(U_43, U_44) ) | ( greater(U_43, U_44) | U_43 = U_44 ) ) & ( ( ~( greater(U_43, U_44) ) & ~( U_43 = U_44 ) ) | geq(U_43, U_44) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_17_1]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_17_3, plain,
% 265.51/265.96 ( ! [ U_47,U_45 ] : ( ~( geq(U_45, U_47) ) | ( greater(U_45, U_47) | U_45 = U_47 ) ) & ! [ U_48,U_46 ] : ( ( ~( greater(U_46, U_48) ) & ~( U_46 = U_48 ) ) | geq(U_46, U_48) ) ),
% 265.51/265.96 inference(miniscope,[status(thm)],[f_17_2]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_17_4, plain,
% 265.51/265.96 ( ~geq(U_45, U_47) | greater(U_45, U_47) | U_45 = U_47 ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_17_3]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_17_5, plain,
% 265.51/265.96 ( geq(U_46, U_48) | ~greater(U_46, U_48) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_17_3]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_17_6, plain,
% 265.51/265.96 ( geq(U_46, U_48) | U_46 != U_48 ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_17_3]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_18_1, plain,
% 265.51/265.96 ! [ Vd226,Vd227 ] : ( ~( less(Vd226, Vd227) ) | greater(Vd227, Vd226) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(147, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_18_2, plain,
% 265.51/265.96 ! [ U_50,U_49 ] : ( ~( less(U_50, U_49) ) | greater(U_49, U_50) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_18_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_18_3, plain,
% 265.51/265.96 ( ~less(U_50, U_49) | greater(U_49, U_50) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_18_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_19_1, plain,
% 265.51/265.96 ! [ Vd208,Vd209 ] : ( ~( greater(Vd208, Vd209) ) | less(Vd209, Vd208) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(140, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_19_2, plain,
% 265.51/265.96 ! [ U_52,U_51 ] : ( ~( greater(U_52, U_51) ) | less(U_51, U_52) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_19_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_19_3, plain,
% 265.51/265.96 ( ~greater(U_52, U_51) | less(U_51, U_52) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_19_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_20_1, plain,
% 265.51/265.96 ! [ Vd203,Vd204 ] : ( Vd203 = Vd204 | greater(Vd203, Vd204) | less(Vd203, Vd204) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_20_2, plain,
% 265.51/265.96 ! [ U_54,U_53 ] : ( U_54 = U_53 | greater(U_54, U_53) | less(U_54, U_53) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_20_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_20_3, plain,
% 265.51/265.96 ( U_54 = U_53 | greater(U_54, U_53) | less(U_54, U_53) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_20_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_21_1, plain,
% 265.51/265.96 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( less(Vd203, Vd204) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 1)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_21_2, plain,
% 265.51/265.96 ! [ U_56,U_55 ] : ( ~( U_56 = U_55 ) | ~( less(U_56, U_55) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_21_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_21_3, plain,
% 265.51/265.96 ( U_56 != U_55 | ~less(U_56, U_55) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_21_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_22_1, plain,
% 265.51/265.96 ! [ Vd203,Vd204 ] : ( ~( greater(Vd203, Vd204) ) | ~( less(Vd203, Vd204) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 2)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_22_2, plain,
% 265.51/265.96 ! [ U_58,U_57 ] : ( ~( greater(U_58, U_57) ) | ~( less(U_58, U_57) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_22_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_22_3, plain,
% 265.51/265.96 ( ~greater(U_58, U_57) | ~less(U_58, U_57) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_22_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_23_1, plain,
% 265.51/265.96 ! [ Vd203,Vd204 ] : ( ~( Vd203 = Vd204 ) | ~( greater(Vd203, Vd204) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(goal(130), 0), 3)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_23_2, plain,
% 265.51/265.96 ! [ U_60,U_59 ] : ( ~( U_60 = U_59 ) | ~( greater(U_60, U_59) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_23_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_23_3, plain,
% 265.51/265.96 ( U_60 != U_59 | ~greater(U_60, U_59) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_23_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_24_1, plain,
% 265.51/265.96 ! [ Vd198,Vd199 ] : ( ( ~( less(Vd199, Vd198) ) | ? [ Vd201 ] : Vd198 = vplus(Vd199, Vd201) ) & ( ! [ Vd201 ] : ~( Vd198 = vplus(Vd199, Vd201) ) | less(Vd199, Vd198) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 12), 1)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_24_2, plain,
% 265.51/265.96 ! [ U_64,U_63 ] : ( ( ~( less(U_63, U_64) ) | ? [ U_61 ] : U_64 = vplus(U_63, U_61) ) & ( ! [ U_62 ] : ~( U_64 = vplus(U_63, U_62) ) | less(U_63, U_64) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_24_1]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_24_3, plain,
% 265.51/265.96 ( ! [ U_67,U_65 ] : ( ~( less(U_65, U_67) ) | ? [ U_61 ] : U_67 = vplus(U_65, U_61) ) & ! [ U_68,U_66 ] : ( ! [ U_62 ] : ~( U_68 = vplus(U_66, U_62) ) | less(U_66, U_68) ) ),
% 265.51/265.96 inference(miniscope,[status(thm)],[f_24_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_24_4, plain,
% 265.51/265.96 ( ! [ U_67,U_65 ] : ( ~( less(U_65, U_67) ) | U_67 = vplus(U_65, sK1(U_67, U_65)) ) & ! [ U_68,U_66 ] : ( ! [ U_62 ] : ~( U_68 = vplus(U_66, U_62) ) | less(U_66, U_68) ) ),
% 265.51/265.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_61,sK1(U_67, U_65))],[f_24_3]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_24_5, plain,
% 265.51/265.96 ( ~less(U_65, U_67) | U_67 = vplus(U_65, sK1(U_67, U_65)) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_24_4]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_24_6, plain,
% 265.51/265.96 ( U_68 != vplus(U_66, U_62) | less(U_66, U_68) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_24_4]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_25_1, plain,
% 265.51/265.96 ! [ Vd193,Vd194 ] : ( ( ~( greater(Vd194, Vd193) ) | ? [ Vd196 ] : Vd194 = vplus(Vd193, Vd196) ) & ( ! [ Vd196 ] : ~( Vd194 = vplus(Vd193, Vd196) ) | greater(Vd194, Vd193) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[def(cond(conseq(axiom(3)), 11), 1)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_25_2, plain,
% 265.51/265.96 ! [ U_72,U_71 ] : ( ( ~( greater(U_71, U_72) ) | ? [ U_69 ] : U_71 = vplus(U_72, U_69) ) & ( ! [ U_70 ] : ~( U_71 = vplus(U_72, U_70) ) | greater(U_71, U_72) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_25_1]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_25_3, plain,
% 265.51/265.96 ( ! [ U_75,U_73 ] : ( ~( greater(U_73, U_75) ) | ? [ U_69 ] : U_73 = vplus(U_75, U_69) ) & ! [ U_76,U_74 ] : ( ! [ U_70 ] : ~( U_74 = vplus(U_76, U_70) ) | greater(U_74, U_76) ) ),
% 265.51/265.96 inference(miniscope,[status(thm)],[f_25_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_25_4, plain,
% 265.51/265.96 ( ! [ U_75,U_73 ] : ( ~( greater(U_73, U_75) ) | U_73 = vplus(U_75, sK2(U_75, U_73)) ) & ! [ U_76,U_74 ] : ( ! [ U_70 ] : ~( U_74 = vplus(U_76, U_70) ) | greater(U_74, U_76) ) ),
% 265.51/265.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_69,sK2(U_75, U_73))],[f_25_3]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_25_5, plain,
% 265.51/265.96 ( ~greater(U_73, U_75) | U_73 = vplus(U_75, sK2(U_75, U_73)) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_25_4]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_25_6, plain,
% 265.51/265.96 ( U_74 != vplus(U_76, U_70) | greater(U_74, U_76) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_25_4]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_26_1, plain,
% 265.51/265.96 ! [ Vd120,Vd121 ] : ( Vd120 = Vd121 | ? [ Vd123 ] : Vd120 = vplus(Vd121, Vd123) | ? [ Vd125 ] : Vd121 = vplus(Vd120, Vd125) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_26_2, plain,
% 265.51/265.96 ! [ U_80,U_79 ] : ( U_80 = U_79 | ? [ U_77 ] : U_80 = vplus(U_79, U_77) | ? [ U_78 ] : U_79 = vplus(U_80, U_78) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_26_1]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_26_3, plain,
% 265.51/265.96 ! [ U_80,U_79 ] : ( U_80 = U_79 | U_80 = vplus(U_79, sK3(U_80, U_79)) | ? [ U_78 ] : U_79 = vplus(U_80, U_78) ),
% 265.51/265.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_77,sK3(U_80, U_79))],[f_26_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_26_4, plain,
% 265.51/265.96 ! [ U_80,U_79 ] : ( U_80 = U_79 | U_80 = vplus(U_79, sK3(U_80, U_79)) | U_79 = vplus(U_80, sK4(U_80, U_79)) ),
% 265.51/265.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_78,sK4(U_80, U_79))],[f_26_3]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_26_5, plain,
% 265.51/265.96 ( U_80 = U_79 | U_80 = vplus(U_79, sK3(U_80, U_79)) | U_79 = vplus(U_80, sK4(U_80, U_79)) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_26_4]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_27_1, plain,
% 265.51/265.96 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ! [ Vd125 ] : ~( Vd121 = vplus(Vd120, Vd125) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 1)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_27_2, plain,
% 265.51/265.96 ! [ U_83,U_82 ] : ( ~( U_83 = U_82 ) | ! [ U_81 ] : ~( U_82 = vplus(U_83, U_81) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_27_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_27_3, plain,
% 265.51/265.96 ( U_83 != U_82 | U_82 != vplus(U_83, U_81) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_27_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_28_1, plain,
% 265.51/265.96 ! [ Vd120,Vd121 ] : ( ! [ Vd123 ] : ~( Vd120 = vplus(Vd121, Vd123) ) | ! [ Vd125 ] : ~( Vd121 = vplus(Vd120, Vd125) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 2)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_28_2, plain,
% 265.51/265.96 ! [ U_87,U_86 ] : ( ! [ U_84 ] : ~( U_87 = vplus(U_86, U_84) ) | ! [ U_85 ] : ~( U_86 = vplus(U_87, U_85) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_28_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_28_3, plain,
% 265.51/265.96 ( U_87 != vplus(U_86, U_84) | U_86 != vplus(U_87, U_85) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_28_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_29_1, plain,
% 265.51/265.96 ! [ Vd120,Vd121 ] : ( ~( Vd120 = Vd121 ) | ! [ Vd123 ] : ~( Vd120 = vplus(Vd121, Vd123) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(goal(88), 0), 3)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_29_2, plain,
% 265.51/265.96 ! [ U_90,U_89 ] : ( ~( U_90 = U_89 ) | ! [ U_88 ] : ~( U_90 = vplus(U_89, U_88) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_29_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_29_3, plain,
% 265.51/265.96 ( U_90 != U_89 | U_90 != vplus(U_89, U_88) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_29_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_30_1, plain,
% 265.51/265.96 ! [ Vd104,Vd105 ] : ( Vd104 = Vd105 | ! [ Vd107 ] : ~( vplus(Vd107, Vd104) = vplus(Vd107, Vd105) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(81, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_30_2, plain,
% 265.51/265.96 ! [ U_93,U_92 ] : ( U_93 = U_92 | ! [ U_91 ] : ~( vplus(U_91, U_93) = vplus(U_91, U_92) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_30_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_30_3, plain,
% 265.51/265.96 ( U_93 = U_92 | vplus(U_91, U_93) != vplus(U_91, U_92) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_30_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_31_1, plain,
% 265.51/265.96 ! [ Vd92,Vd93 ] : ~( Vd93 = vplus(Vd92, Vd93) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(73, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_31_2, plain,
% 265.51/265.96 ! [ U_95,U_94 ] : ~( U_94 = vplus(U_95, U_94) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_31_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_31_3, plain,
% 265.51/265.96 ( U_94 != vplus(U_95, U_94) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_31_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_32_1, plain,
% 265.51/265.96 ! [ Vd78,Vd79 ] : vplus(Vd79, Vd78) = vplus(Vd78, Vd79),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(61, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_32_2, plain,
% 265.51/265.96 ! [ U_97,U_96 ] : vplus(U_96, U_97) = vplus(U_97, U_96),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_32_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_32_3, plain,
% 265.51/265.96 ( vplus(U_96, U_97) = vplus(U_97, U_96) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_32_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_33_1, plain,
% 265.51/265.96 ! [ Vd68,Vd69 ] : vplus(vsucc(Vd68), Vd69) = vsucc(vplus(Vd68, Vd69)),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(52, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_33_2, plain,
% 265.51/265.96 ! [ U_99,U_98 ] : vplus(vsucc(U_99), U_98) = vsucc(vplus(U_99, U_98)),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_33_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_33_3, plain,
% 265.51/265.96 ( vplus(vsucc(U_99), U_98) = vsucc(vplus(U_99, U_98)) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_33_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_34_1, plain,
% 265.51/265.96 ! [ Vd59 ] : vplus(v1, Vd59) = vsucc(Vd59),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(43, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_34_2, plain,
% 265.51/265.96 ! [ U_100 ] : vplus(v1, U_100) = vsucc(U_100),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_34_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_34_3, plain,
% 265.51/265.96 ( vplus(v1, U_100) = vsucc(U_100) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_34_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_35_1, plain,
% 265.51/265.96 ! [ Vd46,Vd47,Vd48 ] : vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(33, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_35_2, plain,
% 265.51/265.96 ! [ U_103,U_102,U_101 ] : vplus(vplus(U_103, U_102), U_101) = vplus(U_103, vplus(U_102, U_101)),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_35_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_35_3, plain,
% 265.51/265.96 ( vplus(vplus(U_103, U_102), U_101) = vplus(U_103, vplus(U_102, U_101)) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_35_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_36_1, plain,
% 265.51/265.96 ! [ Vd42,Vd43 ] : ( vplus(Vd42, vsucc(Vd43)) = vsucc(vplus(Vd42, Vd43)) & vplus(Vd42, v1) = vsucc(Vd42) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_36_2, plain,
% 265.51/265.96 ! [ U_105,U_104 ] : ( vplus(U_105, vsucc(U_104)) = vsucc(vplus(U_105, U_104)) & vplus(U_105, v1) = vsucc(U_105) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_36_1]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_36_3, plain,
% 265.51/265.96 ( ! [ U_106 ] : vplus(U_106, v1) = vsucc(U_106) & ! [ U_107,U_104 ] : vplus(U_107, vsucc(U_104)) = vsucc(vplus(U_107, U_104)) ),
% 265.51/265.96 inference(miniscope,[status(thm)],[f_36_2]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_36_4, plain,
% 265.51/265.96 ( vplus(U_106, v1) = vsucc(U_106) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_36_3]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_36_5, plain,
% 265.51/265.96 ( vplus(U_107, vsucc(U_104)) = vsucc(vplus(U_107, U_104)) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_36_3]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_37_1, plain,
% 265.51/265.96 ! [ Vd24 ] : ( Vd24 = v1 | Vd24 = vsucc(vskolem2(Vd24)) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(20, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_37_2, plain,
% 265.51/265.96 ! [ U_108 ] : ( U_108 = v1 | U_108 = vsucc(vskolem2(U_108)) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_37_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_37_3, plain,
% 265.51/265.96 ( U_108 = v1 | U_108 = vsucc(vskolem2(U_108)) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_37_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_38_1, plain,
% 265.51/265.96 ! [ Vd16 ] : ~( vsucc(Vd16) = Vd16 ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(12, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_38_2, plain,
% 265.51/265.96 ! [ U_109 ] : ~( vsucc(U_109) = U_109 ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_38_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_38_3, plain,
% 265.51/265.96 ( vsucc(U_109) != U_109 ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_38_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_39_1, plain,
% 265.51/265.96 ! [ Vd7,Vd8 ] : ( Vd7 = Vd8 | ~( vsucc(Vd7) = vsucc(Vd8) ) ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[ass(cond(6, 0), 0)]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_39_2, plain,
% 265.51/265.96 ! [ U_111,U_110 ] : ( U_111 = U_110 | ~( vsucc(U_111) = vsucc(U_110) ) ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_39_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_39_3, plain,
% 265.51/265.96 ( U_111 = U_110 | vsucc(U_111) != vsucc(U_110) ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_39_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_40_1, plain,
% 265.51/265.96 ! [ Vd3,Vd4 ] : ( ~( vsucc(Vd3) = vsucc(Vd4) ) | Vd3 = Vd4 ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[qu(antec(axiom(3)), imp(antec(axiom(3))))]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_40_2, plain,
% 265.51/265.96 ! [ U_113,U_112 ] : ( ~( vsucc(U_113) = vsucc(U_112) ) | U_113 = U_112 ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_40_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_40_3, plain,
% 265.51/265.96 ( vsucc(U_113) != vsucc(U_112) | U_113 = U_112 ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_40_2]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_41_1, plain,
% 265.51/265.96 ! [ Vd1 ] : ~( vsucc(Vd1) = v1 ),
% 265.51/265.96 inference(fof_nnf,[status(thm)],[qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))]) ).
% 265.51/265.96
% 265.51/265.96 fof(f_41_2, plain,
% 265.51/265.96 ! [ U_114 ] : ~( vsucc(U_114) = v1 ),
% 265.51/265.96 inference(variable_rename,[status(thm)],[f_41_1]) ).
% 265.51/265.96
% 265.51/265.96 cnf(f_41_3, plain,
% 265.51/265.96 ( vsucc(U_114) != v1 ),
% 265.51/265.96 inference(clausify,[status(thm)],[f_41_2]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_1, axiom,
% 265.51/265.96 ( Eq_x_0 = Eq_x_0 ),
% 265.51/265.96 theory(equality,[reflexivity]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_2, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_x_1 | Eq_x_1 = Eq_x_0 ),
% 265.51/265.96 theory(equality,[symmetry]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_3, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_x_1 | Eq_x_1 != Eq_x_2 | Eq_x_0 = Eq_x_2 ),
% 265.51/265.96 theory(equality,[transitivity]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_4, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | vplus(Eq_x_0, Eq_x_1) = vplus(Eq_y_0, Eq_y_1) ),
% 265.51/265.96 theory(equality,[substitution_functions]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_5, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | vsucc(Eq_x_0) = vsucc(Eq_y_0) ),
% 265.51/265.96 theory(equality,[substitution_functions]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_6, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | vskolem2(Eq_x_0) = vskolem2(Eq_y_0) ),
% 265.51/265.96 theory(equality,[substitution_functions]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_7, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK1(Eq_x_0, Eq_x_1) = sK1(Eq_y_0, Eq_y_1) ),
% 265.51/265.96 theory(equality,[substitution_functions]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_8, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK2(Eq_x_0, Eq_x_1) = sK2(Eq_y_0, Eq_y_1) ),
% 265.51/265.96 theory(equality,[substitution_functions]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_9, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK3(Eq_x_0, Eq_x_1) = sK3(Eq_y_0, Eq_y_1) ),
% 265.51/265.96 theory(equality,[substitution_functions]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_10, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK4(Eq_x_0, Eq_x_1) = sK4(Eq_y_0, Eq_y_1) ),
% 265.51/265.96 theory(equality,[substitution_functions]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_11, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~greater(Eq_x_0, Eq_x_1) | greater(Eq_y_0, Eq_y_1) ),
% 265.51/265.96 theory(equality,[substitution_predicates]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_12, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~geq(Eq_x_0, Eq_x_1) | geq(Eq_y_0, Eq_y_1) ),
% 265.51/265.96 theory(equality,[substitution_predicates]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_13, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~less(Eq_x_0, Eq_x_1) | less(Eq_y_0, Eq_y_1) ),
% 265.51/265.96 theory(equality,[substitution_predicates]) ).
% 265.51/265.96
% 265.51/265.96 cnf(equality_14, axiom,
% 265.51/265.96 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~leq(Eq_x_0, Eq_x_1) | leq(Eq_y_0, Eq_y_1) ),
% 265.51/265.96 theory(equality,[substitution_predicates]) ).
% 265.51/265.96
% 265.51/265.96 cnf(sat_proved, plain, $false,
% 265.51/265.96 inference(cadical, [status(thm)], [
% 265.73/267.45 ]) ).
% 265.73/267.45 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------