%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO002+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 : Sun Sep 27 08:20:39 AM UTC 2026
% Result : Theorem 76.59s 14.32s
% Output : CNFRefutation 76.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO002+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.36 % Computer : n014.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Sat Sep 26 04:54:32 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.59/14.32 % SZS status Theorem for theBenchmark.p
% 76.59/14.32 % SZS output start CNFRefutation for theBenchmark.p
% 76.59/14.32 fof(sos, axiom, ! [X0] : ! [X1] : ((('occurrence$uof'(X1,X0) & ~atomic(X0)) => ? [X2] : ((root(X2,X0) & 'subactivity$uoccurrence'(X2,X1)))))).
% 76.59/14.32 fof(sos_04, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X1,X0) & (arboreal(X2) & (arboreal(X3) & ('subactivity$uoccurrence'(X2,X1) & 'subactivity$uoccurrence'(X3,X1))))) => ('min$uprecedes'(X2,X3,X0) | ('min$uprecedes'(X3,X2,X0) | X2 = X3))))).
% 76.59/14.32 fof(sos_06, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X1,X2,X0) => ? [X3] : (('occurrence$uof'(X3,X0) & ('subactivity$uoccurrence'(X1,X3) & 'subactivity$uoccurrence'(X2,X3))))))).
% 76.59/14.32 fof(sos_08, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X1) & 'occurrence$uof'(X0,X2)) => X1 = X2))).
% 76.59/14.32 fof(sos_09, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X2) & 'leaf$uocc'(X1,X0)) => ~? [X3] : 'min$uprecedes'(X1,X3,X2)))).
% 76.59/14.32 fof(sos_11, axiom, ! [X0] : ! [X1] : (('subactivity$uoccurrence'(X0,X1) => ('activity$uoccurrence'(X0) & 'activity$uoccurrence'(X1))))).
% 76.59/14.32 fof(sos_12, axiom, ! [X0] : (('activity$uoccurrence'(X0) => ? [X1] : ((activity(X1) & 'occurrence$uof'(X0,X1)))))).
% 76.59/14.32 fof(sos_13, axiom, ! [X0] : ((legal(X0) => arboreal(X0)))).
% 76.59/14.32 fof(sos_16, axiom, ! [X0] : ! [X1] : (('occurrence$uof'(X0,X1) => (arboreal(X0) <=> atomic(X1))))).
% 76.59/14.32 fof(sos_17, axiom, ! [X0] : ! [X1] : ((root(X0,X1) => legal(X0)))).
% 76.59/14.32 fof(sos_18, axiom, ! [X0] : ! [X1] : (('leaf$uocc'(X0,X1) <=> ? [X2] : (('occurrence$uof'(X1,X2) & ('subactivity$uoccurrence'(X0,X1) & leaf(X0,X2))))))).
% 76.59/14.32 fof(sos_19, axiom, ! [X0] : ! [X1] : (('root$uocc'(X0,X1) <=> ? [X2] : (('occurrence$uof'(X1,X2) & ('subactivity$uoccurrence'(X0,X1) & root(X0,X2))))))).
% 76.59/14.32 fof(sos_25, axiom, ! [X0] : ! [X1] : ! [X2] : (('next$usubocc'(X0,X1,X2) => (arboreal(X0) & arboreal(X1))))).
% 76.59/14.32 fof(sos_26, axiom, ! [X0] : ! [X1] : ! [X2] : (('next$usubocc'(X0,X1,X2) <=> ('min$uprecedes'(X0,X1,X2) & ~? [X3] : (('min$uprecedes'(X0,X3,X2) & 'min$uprecedes'(X3,X1,X2))))))).
% 76.59/14.32 fof(sos_28, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X2,X3) & (~atomic(X3) & ('leaf$uocc'(X0,X2) & 'leaf$uocc'(X1,X2)))) => X0 = X1))).
% 76.59/14.32 fof(sos_29, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X2,X3) & ('root$uocc'(X0,X2) & 'root$uocc'(X1,X2))) => X0 = X1))).
% 76.59/14.32 fof(sos_32, axiom, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('occurrence$uof'(X1,tptp4) & ('root$uocc'(X1,X0) & (('occurrence$uof'(X2,tptp3) | 'occurrence$uof'(X2,tptp2)) & ('leaf$uocc'(X2,X0) & 'next$usubocc'(X1,X2,tptp0))))))))).
% 76.59/14.32 fof(sos_34, axiom, ~atomic(tptp0)).
% 76.59/14.32 fof(sos_46, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (('send$umessage'(X0,X1,X2,X3,X4) => (X0 != tptp4 & (X0 != tptp3 & X0 != tptp2))))).
% 76.59/14.32 fof(sos_47, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ((('send$umessage'(X0,X1,X2,X3,X4) & 'occurrence$uof'(X5,X0)) => 'min$uprecedes'(X3,X5,X4)))).
% 76.59/14.32 fof(sos_48, axiom, ! [X0] : ! [X1] : ! [X2] : ((tptp1(X0,X1,X2) => (activity(X0) & (~atomic(X0) & (~atomic(X1) & root(X2,X1))))))).
% 76.59/14.32 fof(sos_49, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((tptp1(X0,X1,X2) & 'occurrence$uof'(X3,X0)) => ? [X4] : ? [X5] : ? [X6] : ? [X7] : (('send$umessage'(X4,X5,X6,X2,X1) & ('occurrence$uof'(X7,X4) & 'root$uocc'(X7,X3))))))).
% 76.59/14.32 fof(goals, conjecture, ~? [X0] : ? [X1] : ? [X2] : ((tptp1(X0,tptp0,X1) & 'occurrence$uof'(X2,X0)))).
% 76.59/14.32 fof(negated_conjecture, negated_conjecture, ~~? [X0] : ? [X1] : ? [X2] : ((tptp1(X0,tptp0,X1) & 'occurrence$uof'(X2,X0))), inference(negate_conjecture, [status(cth)], [goals])).
% 76.59/14.32 cnf(c0, plain, atomic(X0) | ~'occurrence$uof'(X1,X0) | root(sK2(X0,X1),X0), inference(clausification, [status(esa)], [sos])).
% 76.59/14.32 cnf(c1, plain, atomic(X0) | ~'occurrence$uof'(X1,X0) | 'subactivity$uoccurrence'(sK2(X0,X1),X1), inference(clausification, [status(esa)], [sos])).
% 76.59/14.32 cnf(c6, plain, 'min$uprecedes'(X0,X1,X2) | ~arboreal(X1) | ~'subactivity$uoccurrence'(X0,X3) | 'min$uprecedes'(X1,X0,X2) | ~arboreal(X0) | ~'subactivity$uoccurrence'(X1,X3) | X0 = X1 | ~'occurrence$uof'(X3,X2), inference(clausification, [status(esa)], [sos_04])).
% 76.59/14.32 cnf(c9, plain, ~'min$uprecedes'(X0,X1,X2) | 'occurrence$uof'(sK24(X2,X0,X1),X2), inference(clausification, [status(esa)], [sos_06])).
% 76.59/14.32 cnf(c10, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X1,sK24(X2,X0,X1)), inference(clausification, [status(esa)], [sos_06])).
% 76.59/14.32 cnf(c11, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X0,sK24(X2,X0,X1)), inference(clausification, [status(esa)], [sos_06])).
% 76.59/14.32 cnf(c14, plain, ~'occurrence$uof'(X0,X1) | ~'occurrence$uof'(X0,X2) | X1 = X2, inference(clausification, [status(esa)], [sos_08])).
% 76.59/14.32 cnf(c15, plain, ~'leaf$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~'min$uprecedes'(X0,X3,X2), inference(clausification, [status(esa)], [sos_09])).
% 76.59/14.32 cnf(c17, plain, ~'subactivity$uoccurrence'(X0,X1) | 'activity$uoccurrence'(X0), inference(clausification, [status(esa)], [sos_11])).
% 76.59/14.32 cnf(c20, plain, ~'activity$uoccurrence'(X0) | 'occurrence$uof'(X0,sK42(X0)), inference(clausification, [status(esa)], [sos_12])).
% 76.59/14.32 cnf(c21, plain, ~legal(X0) | arboreal(X0), inference(clausification, [status(esa)], [sos_13])).
% 76.59/14.32 cnf(c30, plain, ~'occurrence$uof'(X0,X1) | ~arboreal(X0) | atomic(X1), inference(clausification, [status(esa)], [sos_16])).
% 76.59/14.32 cnf(c31, plain, ~'occurrence$uof'(X0,X1) | arboreal(X0) | ~atomic(X1), inference(clausification, [status(esa)], [sos_16])).
% 76.59/14.32 cnf(c32, plain, ~root(X0,X1) | legal(X0), inference(clausification, [status(esa)], [sos_17])).
% 76.59/14.32 cnf(c33, plain, ~'leaf$uocc'(X0,X1) | 'occurrence$uof'(X1,sK60(X0,X1)), inference(clausification, [status(esa)], [sos_18])).
% 76.59/14.32 cnf(c34, plain, ~'leaf$uocc'(X0,X1) | leaf(X0,sK60(X0,X1)), inference(clausification, [status(esa)], [sos_18])).
% 76.59/14.32 cnf(c35, plain, ~'leaf$uocc'(X0,X1) | 'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_18])).
% 76.59/14.32 cnf(c36, plain, 'leaf$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~leaf(X0,X2) | ~'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_18])).
% 76.59/14.32 cnf(c40, plain, 'root$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~root(X0,X2) | ~'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_19])).
% 76.59/14.33 cnf(c50, plain, ~'next$usubocc'(X0,X1,X2) | arboreal(X1), inference(clausification, [status(esa)], [sos_25])).
% 76.59/14.33 cnf(c52, plain, ~'next$usubocc'(X0,X1,X2) | ~'min$uprecedes'(X0,X3,X2) | ~'min$uprecedes'(X3,X1,X2), inference(clausification, [status(esa)], [sos_26])).
% 76.59/14.33 cnf(c56, plain, atomic(X0) | ~'leaf$uocc'(X1,X2) | ~'leaf$uocc'(X3,X2) | X3 = X1 | ~'occurrence$uof'(X2,X0), inference(clausification, [status(esa)], [sos_28])).
% 76.59/14.33 cnf(c57, plain, ~'root$uocc'(X0,X1) | ~'root$uocc'(X2,X1) | ~'occurrence$uof'(X1,X3) | X2 = X0, inference(clausification, [status(esa)], [sos_29])).
% 76.59/14.33 cnf(c60, plain, ~'occurrence$uof'(X0,tptp0) | X1(X0), inference(clausification, [status(esa)], [sos_32])).
% 76.59/14.33 cnf(c62, plain, ~X0(X1) | 'occurrence$uof'(sK110(X1),tptp3) | 'occurrence$uof'(sK110(X1),tptp2), inference(clausification, [status(esa)], [sos_32])).
% 76.59/14.33 cnf(c63, plain, ~X0(X1) | 'next$usubocc'(sK109(X1),sK110(X1),tptp0), inference(clausification, [status(esa)], [sos_32])).
% 76.59/14.33 cnf(c64, plain, ~X0(X1) | 'leaf$uocc'(sK110(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 76.59/14.33 cnf(c65, plain, ~X0(X1) | 'root$uocc'(sK109(X1),X1), inference(clausification, [status(esa)], [sos_32])).
% 76.59/14.33 cnf(c67, plain, ~atomic(tptp0), inference(clausification, [status(esa)], [sos_34])).
% 76.59/14.33 cnf(c83, plain, ~'send$umessage'(X0,X1,X2,X3,X4) | X0 != tptp2, inference(clausification, [status(esa)], [sos_46])).
% 76.59/14.33 cnf(c84, plain, ~'send$umessage'(X0,X1,X2,X3,X4) | X0 != tptp3, inference(clausification, [status(esa)], [sos_46])).
% 76.59/14.33 cnf(c85, plain, ~'occurrence$uof'(X0,X1) | ~'send$umessage'(X1,X2,X3,X4,X5) | 'min$uprecedes'(X4,X0,X5), inference(clausification, [status(esa)], [sos_47])).
% 76.59/14.33 cnf(c88, plain, ~tptp1(X0,X1,X2) | root(X2,X1), inference(clausification, [status(esa)], [sos_48])).
% 76.59/14.33 cnf(c89, plain, ~tptp1(X0,X1,X2) | ~atomic(X0), inference(clausification, [status(esa)], [sos_48])).
% 76.59/14.33 cnf(c90, plain, ~'occurrence$uof'(X0,X1) | ~tptp1(X1,X2,X3) | 'send$umessage'(sK134(X2,X3,X0),sK135(X2,X3,X0),sK136(X2,X3,X0),X3,X2), inference(clausification, [status(esa)], [sos_49])).
% 76.59/14.33 cnf(c91, plain, ~'occurrence$uof'(X0,X1) | ~tptp1(X1,X2,X3) | 'root$uocc'(sK137(X2,X3,X0),X0), inference(clausification, [status(esa)], [sos_49])).
% 76.59/14.33 cnf(c92, plain, ~'occurrence$uof'(X0,X1) | ~tptp1(X1,X2,X3) | 'occurrence$uof'(sK137(X2,X3,X0),sK134(X2,X3,X0)), inference(clausification, [status(esa)], [sos_49])).
% 76.59/14.33 cnf(c94, plain, tptp1(sK140,tptp0,sK141), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.59/14.33 cnf(c95, plain, 'occurrence$uof'(sK142,sK140), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.59/14.33 cnf(d0, plain, atomic(sK140) | ~arboreal(sK142), inference(resolution, [status(thm)], [c30,c95])).
% 76.59/14.33 cnf(d1, plain, atomic(sK140) | 'subactivity$uoccurrence'(sK2(sK140,sK142),sK142), inference(resolution, [status(thm)], [c1,c95])).
% 76.59/14.33 cnf(d2, plain, ~atomic(sK140) | arboreal(sK142), inference(resolution, [status(thm)], [c31,c95])).
% 76.59/14.33 cnf(d3, plain, arboreal(sK142) | 'subactivity$uoccurrence'(sK2(sK140,sK142),sK142), inference(resolution, [status(thm)], [d2,d1])).
% 76.59/14.33 cnf(d4, plain, arboreal(sK142) | 'activity$uoccurrence'(sK2(sK140,sK142)), inference(resolution, [status(thm)], [d3,c17])).
% 76.59/14.33 cnf(d5, plain, 'activity$uoccurrence'(sK2(sK140,sK142)) | atomic(sK140), inference(resolution, [status(thm)], [d4,d0])).
% 76.59/14.33 cnf(d6, plain, ~tptp1(sK140,X0,X1) | 'activity$uoccurrence'(sK2(sK140,sK142)), inference(resolution, [status(thm)], [c89,d5])).
% 76.59/14.33 cnf(d7, plain, 'activity$uoccurrence'(sK2(sK140,sK142)), inference(resolution, [status(thm)], [d6,c94])).
% 76.59/14.33 cnf(d8, plain, 'occurrence$uof'(sK2(sK140,sK142),sK42(sK2(sK140,sK142))), inference(resolution, [status(thm)], [d7,c20])).
% 76.59/14.33 cnf(d9, plain, sK42(sK2(sK140,sK142)) = X0 | ~'occurrence$uof'(sK2(sK140,sK142),X0), inference(resolution, [status(thm)], [d8,c14])).
% 76.59/14.33 cnf(d10, plain, 'root$uocc'(sK137(X0,X1,sK142),sK142) | ~tptp1(sK140,X0,X1), inference(resolution, [status(thm)], [c91,c95])).
% 76.59/14.33 cnf(d11, plain, 'root$uocc'(sK137(tptp0,sK141,sK142),sK142), inference(resolution, [status(thm)], [d10,c94])).
% 76.59/14.33 cnf(d12, plain, X0 = X1 | ~'root$uocc'(X1,sK142) | ~'root$uocc'(X0,sK142), inference(resolution, [status(thm)], [c57,c95])).
% 76.59/14.33 cnf(d13, plain, root(sK2(sK140,sK142),sK140) | atomic(sK140), inference(resolution, [status(thm)], [c0,c95])).
% 76.59/14.33 cnf(d14, plain, ~root(X0,sK140) | ~'subactivity$uoccurrence'(X0,sK142) | 'root$uocc'(X0,sK142), inference(resolution, [status(thm)], [c40,c95])).
% 76.59/14.33 cnf(d15, plain, ~'subactivity$uoccurrence'(sK2(sK140,sK142),sK142) | 'root$uocc'(sK2(sK140,sK142),sK142) | atomic(sK140), inference(resolution, [status(thm)], [d14,d13])).
% 76.59/14.33 cnf(d16, plain, ~tptp1(sK140,X0,X1) | 'subactivity$uoccurrence'(sK2(sK140,sK142),sK142), inference(resolution, [status(thm)], [c89,d1])).
% 76.59/14.33 cnf(d17, plain, 'subactivity$uoccurrence'(sK2(sK140,sK142),sK142), inference(resolution, [status(thm)], [d16,c94])).
% 76.59/14.33 cnf(d18, plain, atomic(sK140) | 'root$uocc'(sK2(sK140,sK142),sK142), inference(resolution, [status(thm)], [d17,d15])).
% 76.59/14.33 cnf(d19, plain, 'root$uocc'(sK2(sK140,sK142),sK142) | ~tptp1(sK140,X0,X1), inference(resolution, [status(thm)], [d18,c89])).
% 76.59/14.33 cnf(d20, plain, 'root$uocc'(sK2(sK140,sK142),sK142), inference(resolution, [status(thm)], [d19,c94])).
% 76.59/14.33 cnf(d21, plain, X0 = sK2(sK140,sK142) | ~'root$uocc'(X0,sK142), inference(resolution, [status(thm)], [d20,d12])).
% 76.59/14.33 cnf(d22, plain, sK137(tptp0,sK141,sK142) = sK2(sK140,sK142), inference(resolution, [status(thm)], [d21,d11])).
% 76.59/14.33 cnf(d23, plain, 'occurrence$uof'(sK137(X0,X1,sK142),sK134(X0,X1,sK142)) | ~tptp1(sK140,X0,X1), inference(resolution, [status(thm)], [c92,c95])).
% 76.59/14.33 cnf(d24, plain, 'occurrence$uof'(sK137(tptp0,sK141,sK142),sK134(tptp0,sK141,sK142)), inference(resolution, [status(thm)], [d23,c94])).
% 76.59/14.33 cnf(d25, plain, 'occurrence$uof'(sK2(sK140,sK142),sK134(tptp0,sK141,sK142)), inference(demodulation, [status(thm)], [d24,d22])).
% 76.59/14.33 cnf(d26, plain, sK42(sK2(sK140,sK142)) = sK134(tptp0,sK141,sK142), inference(resolution, [status(thm)], [d9,d25])).
% 76.59/14.33 cnf(d27, plain, 'send$umessage'(sK134(X0,X1,sK142),sK135(X0,X1,sK142),sK136(X0,X1,sK142),X1,X0) | ~tptp1(sK140,X0,X1), inference(resolution, [status(thm)], [c90,c95])).
% 76.59/14.33 cnf(d28, plain, 'send$umessage'(sK134(tptp0,sK141,sK142),sK135(tptp0,sK141,sK142),sK136(tptp0,sK141,sK142),sK141,tptp0), inference(resolution, [status(thm)], [d27,c94])).
% 76.59/14.33 cnf(d29, plain, 'send$umessage'(sK42(sK2(sK140,sK142)),sK135(tptp0,sK141,sK142),sK136(tptp0,sK141,sK142),sK141,tptp0), inference(demodulation, [status(thm)], [d28,d26])).
% 76.59/14.33 cnf(d30, plain, 'min$uprecedes'(X0,sK2(sK140,sK142),X1) | ~'send$umessage'(sK42(sK2(sK140,sK142)),X2,X3,X0,X1), inference(resolution, [status(thm)], [d8,c85])).
% 76.59/14.33 cnf(d31, plain, 'min$uprecedes'(sK141,sK2(sK140,sK142),tptp0), inference(resolution, [status(thm)], [d29,d30])).
% 76.59/14.33 cnf(d32, plain, 'occurrence$uof'(sK24(tptp0,sK141,sK2(sK140,sK142)),tptp0), inference(resolution, [status(thm)], [d31,c9])).
% 76.59/14.33 cnf(d33, plain, X0 = X1 | atomic(tptp0) | ~'leaf$uocc'(X1,sK24(tptp0,sK141,sK2(sK140,sK142))) | ~'leaf$uocc'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d32,c56])).
% 76.59/14.33 cnf(d34, plain, X0 = X1 | ~'leaf$uocc'(X1,sK24(tptp0,sK141,sK2(sK140,sK142))) | ~'leaf$uocc'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [c67,d33])).
% 76.59/14.33 cnf(d35, plain, 'Ts107'(sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d32,c60])).
% 76.59/14.33 cnf(d36, plain, 'leaf$uocc'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d35,c64])).
% 76.59/14.33 cnf(d37, plain, X0 = sK110(sK24(tptp0,sK141,sK2(sK140,sK142))) | ~'leaf$uocc'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d36,d34])).
% 76.59/14.33 cnf(d38, plain, 'subactivity$uoccurrence'(sK2(sK140,sK142),sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d31,c10])).
% 76.59/14.33 cnf(d39, plain, ~'subactivity$uoccurrence'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))) | 'leaf$uocc'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))) | ~leaf(X0,tptp0), inference(resolution, [status(thm)], [d32,c36])).
% 76.59/14.33 cnf(d40, plain, 'leaf$uocc'(sK2(sK140,sK142),sK24(tptp0,sK141,sK2(sK140,sK142))) | ~leaf(sK2(sK140,sK142),tptp0), inference(resolution, [status(thm)], [d39,d38])).
% 76.59/14.33 cnf(d41, plain, ~'min$uprecedes'(sK2(sK140,sK142),X0,tptp0) | ~'next$usubocc'(sK141,X0,tptp0), inference(resolution, [status(thm)], [d31,c52])).
% 76.59/14.33 cnf(d42, plain, tptp0 = X0 | ~'occurrence$uof'(sK24(tptp0,sK141,sK2(sK140,sK142)),X0), inference(resolution, [status(thm)], [d32,c14])).
% 76.59/14.33 cnf(d43, plain, 'occurrence$uof'(sK24(tptp0,sK141,sK2(sK140,sK142)),sK60(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),sK24(tptp0,sK141,sK2(sK140,sK142)))), inference(resolution, [status(thm)], [d36,c33])).
% 76.59/14.33 cnf(d44, plain, tptp0 = sK60(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d43,d42])).
% 76.59/14.33 cnf(d45, plain, leaf(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),sK60(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),sK24(tptp0,sK141,sK2(sK140,sK142)))), inference(resolution, [status(thm)], [d36,c34])).
% 76.59/14.33 cnf(d46, plain, leaf(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp0), inference(demodulation, [status(thm)], [d45,d44])).
% 76.59/14.33 cnf(d47, plain, 'subactivity$uoccurrence'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d36,c35])).
% 76.59/14.33 cnf(d48, plain, X0 = X1 | ~'subactivity$uoccurrence'(X1,sK24(tptp0,sK141,sK2(sK140,sK142))) | ~'subactivity$uoccurrence'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))) | 'min$uprecedes'(X1,X0,tptp0) | 'min$uprecedes'(X0,X1,tptp0) | ~arboreal(X1) | ~arboreal(X0), inference(resolution, [status(thm)], [d32,c6])).
% 76.59/14.33 cnf(d49, plain, X0 = sK2(sK140,sK142) | ~'subactivity$uoccurrence'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))) | 'min$uprecedes'(sK2(sK140,sK142),X0,tptp0) | 'min$uprecedes'(X0,sK2(sK140,sK142),tptp0) | ~arboreal(sK2(sK140,sK142)) | ~arboreal(X0), inference(resolution, [status(thm)], [d48,d38])).
% 76.59/14.33 cnf(d50, plain, legal(sK2(sK140,sK142)) | atomic(sK140), inference(resolution, [status(thm)], [c32,d13])).
% 76.59/14.33 cnf(d51, plain, ~tptp1(sK140,X0,X1) | legal(sK2(sK140,sK142)), inference(resolution, [status(thm)], [c89,d50])).
% 76.59/14.33 cnf(d52, plain, legal(sK2(sK140,sK142)), inference(resolution, [status(thm)], [d51,c94])).
% 76.59/14.33 cnf(d53, plain, arboreal(sK2(sK140,sK142)), inference(resolution, [status(thm)], [d52,c21])).
% 76.59/14.33 cnf(d54, plain, X0 = sK2(sK140,sK142) | ~'subactivity$uoccurrence'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))) | 'min$uprecedes'(X0,sK2(sK140,sK142),tptp0) | 'min$uprecedes'(sK2(sK140,sK142),X0,tptp0) | ~arboreal(X0), inference(resolution, [status(thm)], [d53,d49])).
% 76.59/14.33 cnf(d55, plain, sK110(sK24(tptp0,sK141,sK2(sK140,sK142))) = sK2(sK140,sK142) | 'min$uprecedes'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),sK2(sK140,sK142),tptp0) | 'min$uprecedes'(sK2(sK140,sK142),sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp0) | ~arboreal(sK110(sK24(tptp0,sK141,sK2(sK140,sK142)))), inference(resolution, [status(thm)], [d54,d47])).
% 76.59/14.33 cnf(d56, plain, 'next$usubocc'(sK109(sK24(tptp0,sK141,sK2(sK140,sK142))),sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp0), inference(resolution, [status(thm)], [d35,c63])).
% 76.59/14.33 cnf(d57, plain, arboreal(sK110(sK24(tptp0,sK141,sK2(sK140,sK142)))), inference(resolution, [status(thm)], [d56,c50])).
% 76.59/14.33 cnf(d58, plain, sK110(sK24(tptp0,sK141,sK2(sK140,sK142))) = sK2(sK140,sK142) | 'min$uprecedes'(sK2(sK140,sK142),sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp0) | 'min$uprecedes'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),sK2(sK140,sK142),tptp0), inference(resolution, [status(thm)], [d57,d55])).
% 76.59/14.33 cnf(d59, plain, ~'leaf$uocc'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))) | ~'min$uprecedes'(X0,X1,tptp0), inference(resolution, [status(thm)], [d32,c15])).
% 76.59/14.33 cnf(d60, plain, ~'min$uprecedes'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),X0,tptp0), inference(resolution, [status(thm)], [d36,d59])).
% 76.59/14.33 cnf(d61, plain, sK110(sK24(tptp0,sK141,sK2(sK140,sK142))) = sK2(sK140,sK142) | 'min$uprecedes'(sK2(sK140,sK142),sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp0), inference(resolution, [status(thm)], [d60,d58])).
% 76.59/14.33 cnf(d62, plain, leaf(sK2(sK140,sK142),tptp0) | 'min$uprecedes'(sK2(sK140,sK142),sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp0), inference(superposition, [status(thm)], [d61,d46])).
% 76.59/14.33 cnf(d63, plain, leaf(sK2(sK140,sK142),tptp0) | ~'next$usubocc'(sK141,sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp0), inference(resolution, [status(thm)], [d62,d41])).
% 76.59/14.33 cnf(d64, plain, 'root$uocc'(sK109(sK24(tptp0,sK141,sK2(sK140,sK142))),sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d35,c65])).
% 76.59/14.33 cnf(d65, plain, X0 = X1 | ~'root$uocc'(X1,sK24(tptp0,sK141,sK2(sK140,sK142))) | ~'root$uocc'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d32,c57])).
% 76.59/14.33 cnf(d66, plain, root(sK141,tptp0), inference(resolution, [status(thm)], [c88,c94])).
% 76.59/14.33 cnf(d67, plain, ~root(X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))) | 'root$uocc'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d32,c40])).
% 76.59/14.33 cnf(d68, plain, ~'subactivity$uoccurrence'(sK141,sK24(tptp0,sK141,sK2(sK140,sK142))) | 'root$uocc'(sK141,sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d67,d66])).
% 76.59/14.33 cnf(d69, plain, 'subactivity$uoccurrence'(sK141,sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d31,c11])).
% 76.59/14.33 cnf(d70, plain, 'root$uocc'(sK141,sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d69,d68])).
% 76.59/14.33 cnf(d71, plain, X0 = sK141 | ~'root$uocc'(X0,sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d70,d65])).
% 76.59/14.33 cnf(d72, plain, sK109(sK24(tptp0,sK141,sK2(sK140,sK142))) = sK141, inference(resolution, [status(thm)], [d71,d64])).
% 76.59/14.33 cnf(d73, plain, 'next$usubocc'(sK141,sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp0), inference(demodulation, [status(thm)], [d56,d72])).
% 76.59/14.33 cnf(d74, plain, leaf(sK2(sK140,sK142),tptp0), inference(resolution, [status(thm)], [d73,d63])).
% 76.59/14.33 cnf(d75, plain, 'leaf$uocc'(sK2(sK140,sK142),sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d74,d40])).
% 76.59/14.33 cnf(d76, plain, sK2(sK140,sK142) = sK110(sK24(tptp0,sK141,sK2(sK140,sK142))), inference(resolution, [status(thm)], [d75,d37])).
% 76.59/14.33 cnf(d77, plain, 'activity$uoccurrence'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142)))), inference(resolution, [status(thm)], [d47,c17])).
% 76.59/14.33 cnf(d78, plain, 'occurrence$uof'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),sK42(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))))), inference(resolution, [status(thm)], [d77,c20])).
% 76.59/14.33 cnf(d79, plain, 'occurrence$uof'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp2) | 'occurrence$uof'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp3), inference(resolution, [status(thm)], [d35,c62])).
% 76.59/14.33 cnf(d80, plain, 'occurrence$uof'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp3) | tptp2 = X0 | ~'occurrence$uof'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),X0), inference(resolution, [status(thm)], [d79,c14])).
% 76.59/14.33 cnf(d81, plain, tptp2 = sK42(sK110(sK24(tptp0,sK141,sK2(sK140,sK142)))) | 'occurrence$uof'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp3), inference(resolution, [status(thm)], [d80,d78])).
% 76.59/14.33 cnf(d82, plain, tptp2 = sK42(sK2(sK140,sK142)) | 'occurrence$uof'(sK110(sK24(tptp0,sK141,sK2(sK140,sK142))),tptp3), inference(demodulation, [status(thm)], [d81,d76])).
% 76.59/14.33 cnf(d83, plain, tptp2 = sK42(sK2(sK140,sK142)) | 'occurrence$uof'(sK2(sK140,sK142),tptp3), inference(demodulation, [status(thm)], [d82,d76])).
% 76.59/14.33 cnf(d84, plain, 'send$umessage'(tptp2,sK135(tptp0,sK141,sK142),sK136(tptp0,sK141,sK142),sK141,tptp0) | 'occurrence$uof'(sK2(sK140,sK142),tptp3), inference(superposition, [status(thm)], [d83,d29])).
% 76.59/14.33 cnf(d85, plain, ~'send$umessage'(tptp2,X0,X1,X2,X3), inference(equality_resolution, [status(thm)], [c83])).
% 76.59/14.33 cnf(d86, plain, 'occurrence$uof'(sK2(sK140,sK142),tptp3), inference(resolution, [status(thm)], [d85,d84])).
% 76.59/14.33 cnf(d87, plain, sK42(sK2(sK140,sK142)) = tptp3, inference(resolution, [status(thm)], [d86,d9])).
% 76.59/14.33 cnf(d88, plain, 'send$umessage'(tptp3,sK135(tptp0,sK141,sK142),sK136(tptp0,sK141,sK142),sK141,tptp0), inference(demodulation, [status(thm)], [d29,d87])).
% 76.59/14.33 cnf(d89, plain, ~'send$umessage'(tptp3,X0,X1,X2,X3), inference(equality_resolution, [status(thm)], [c84])).
% 76.59/14.33 cnf(d90, plain, $false, inference(resolution, [status(thm)], [d89,d88])).
% 76.59/14.33 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------