%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PRO012+3 : 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 08:20:43 AM UTC 2026
% Result : Theorem 88.70s 18.05s
% Output : CNFRefutation 88.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PRO012+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n014.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 04:58:32 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.70/18.05 % SZS status Theorem for theBenchmark.p
% 88.70/18.05 % SZS output start CNFRefutation for theBenchmark.p
% 88.70/18.05 fof(sos_02, axiom, ! [X0] : ! [X1] : ! [X2] : ((('occurrence$uof'(X0,X1) & 'occurrence$uof'(X0,X2)) => X1 = X2))).
% 88.70/18.05 fof(sos_08, axiom, ! [X0] : ((legal(X0) => arboreal(X0)))).
% 88.70/18.05 fof(sos_10, axiom, ! [X0] : ! [X1] : ((precedes(X0,X1) <=> (earlier(X0,X1) & legal(X1))))).
% 88.70/18.05 fof(sos_14, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X0,X1,X2) => ~root(X1,X2)))).
% 88.70/18.05 fof(sos_15, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X0,X1,X2) => precedes(X0,X1)))).
% 88.70/18.05 fof(sos_25, axiom, ! [X0] : ! [X1] : ! [X2] : (('min$uprecedes'(X1,X2,X0) => ? [X3] : (('occurrence$uof'(X3,X0) & ('subactivity$uoccurrence'(X1,X3) & 'subactivity$uoccurrence'(X2,X3))))))).
% 88.70/18.05 fof(sos_26, axiom, ! [X0] : ! [X1] : (((root(X1,X0) & ~atomic(X0)) => ? [X2] : (('occurrence$uof'(X2,X0) & 'subactivity$uoccurrence'(X1,X2)))))).
% 88.70/18.05 fof(sos_27, axiom, ! [X0] : ! [X1] : ((('occurrence$uof'(X1,X0) & ~atomic(X0)) => ? [X2] : ((root(X2,X0) & 'subactivity$uoccurrence'(X2,X1)))))).
% 88.70/18.05 fof(sos_29, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('min$uprecedes'(X0,X1,X2) & ('occurrence$uof'(X3,X2) & 'subactivity$uoccurrence'(X1,X3))) => 'subactivity$uoccurrence'(X0,X3)))).
% 88.70/18.05 fof(sos_33, axiom, ! [X0] : ! [X1] : (('root$uocc'(X0,X1) <=> ? [X2] : (('occurrence$uof'(X1,X2) & ('subactivity$uoccurrence'(X0,X1) & root(X0,X2))))))).
% 88.70/18.05 fof(sos_35, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X2,X3) & ('root$uocc'(X0,X2) & 'root$uocc'(X1,X2))) => X0 = X1))).
% 88.70/18.05 fof(sos_42, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('occurrence$uof'(X1,X0) & ('subactivity$uoccurrence'(X2,X1) & ('root$uocc'(X3,X1) & (arboreal(X2) & ~'min$uprecedes'(X3,X2,X0))))) => X3 = X2))).
% 88.70/18.05 fof(sos_49, axiom, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : ? [X3] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & ('occurrence$uof'(X2,tptp4) & ('min$uprecedes'(X1,X2,tptp0) & (('occurrence$uof'(X3,tptp2) | 'occurrence$uof'(X3,tptp1)) & ('min$uprecedes'(X2,X3,tptp0) & ! [X4] : (('min$uprecedes'(X1,X4,tptp0) => (X4 = X2 | X4 = X3))))))))))))).
% 88.70/18.05 fof(sos_51, axiom, ~atomic(tptp0)).
% 88.70/18.05 fof(goals, conjecture, ! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & (('occurrence$uof'(X2,tptp2) | 'occurrence$uof'(X2,tptp1)) & 'min$uprecedes'(X1,X2,tptp0)))))))).
% 88.70/18.05 fof(negated_conjecture, negated_conjecture, ~! [X0] : (('occurrence$uof'(X0,tptp0) => ? [X1] : ? [X2] : (('occurrence$uof'(X1,tptp3) & ('root$uocc'(X1,X0) & (('occurrence$uof'(X2,tptp2) | 'occurrence$uof'(X2,tptp1)) & 'min$uprecedes'(X1,X2,tptp0))))))), inference(negate_conjecture, [status(cth)], [goals])).
% 88.70/18.05 cnf(c4, plain, ~'occurrence$uof'(X0,X1) | ~'occurrence$uof'(X0,X2) | X1 = X2, inference(clausification, [status(esa)], [sos_02])).
% 88.70/18.05 cnf(c11, plain, ~legal(X0) | arboreal(X0), inference(clausification, [status(esa)], [sos_08])).
% 88.70/18.05 cnf(c14, plain, ~precedes(X0,X1) | legal(X1), inference(clausification, [status(esa)], [sos_10])).
% 88.70/18.05 cnf(c24, plain, ~'min$uprecedes'(X0,X1,X2) | ~root(X1,X2), inference(clausification, [status(esa)], [sos_14])).
% 88.70/18.05 cnf(c25, plain, ~'min$uprecedes'(X0,X1,X2) | precedes(X0,X1), inference(clausification, [status(esa)], [sos_15])).
% 88.70/18.05 cnf(c45, plain, ~'min$uprecedes'(X0,X1,X2) | 'occurrence$uof'(sK76(X2,X0,X1),X2), inference(clausification, [status(esa)], [sos_25])).
% 88.70/18.05 cnf(c46, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X1,sK76(X2,X0,X1)), inference(clausification, [status(esa)], [sos_25])).
% 88.70/18.05 cnf(c47, plain, ~'min$uprecedes'(X0,X1,X2) | 'subactivity$uoccurrence'(X0,sK76(X2,X0,X1)), inference(clausification, [status(esa)], [sos_25])).
% 88.70/18.05 cnf(c48, plain, atomic(X0) | ~root(X1,X0) | 'occurrence$uof'(sK79(X0,X1),X0), inference(clausification, [status(esa)], [sos_26])).
% 88.70/18.05 cnf(c49, plain, atomic(X0) | ~root(X1,X0) | 'subactivity$uoccurrence'(X1,sK79(X0,X1)), inference(clausification, [status(esa)], [sos_26])).
% 88.70/18.05 cnf(c50, plain, atomic(X0) | ~'occurrence$uof'(X1,X0) | root(sK82(X0,X1),X0), inference(clausification, [status(esa)], [sos_27])).
% 88.70/18.05 cnf(c51, plain, atomic(X0) | ~'occurrence$uof'(X1,X0) | 'subactivity$uoccurrence'(sK82(X0,X1),X1), inference(clausification, [status(esa)], [sos_27])).
% 88.70/18.05 cnf(c53, plain, ~'occurrence$uof'(X0,X1) | ~'subactivity$uoccurrence'(X2,X0) | ~'min$uprecedes'(X3,X2,X1) | 'subactivity$uoccurrence'(X3,X0), inference(clausification, [status(esa)], [sos_29])).
% 88.70/18.05 cnf(c58, plain, ~'root$uocc'(X0,X1) | 'occurrence$uof'(X1,sK105(X0,X1)), inference(clausification, [status(esa)], [sos_33])).
% 88.70/18.05 cnf(c59, plain, ~'root$uocc'(X0,X1) | root(X0,sK105(X0,X1)), inference(clausification, [status(esa)], [sos_33])).
% 88.70/18.05 cnf(c61, plain, 'root$uocc'(X0,X1) | ~'occurrence$uof'(X1,X2) | ~root(X0,X2) | ~'subactivity$uoccurrence'(X0,X1), inference(clausification, [status(esa)], [sos_33])).
% 88.70/18.05 cnf(c66, plain, ~'root$uocc'(X0,X1) | ~'root$uocc'(X2,X1) | ~'occurrence$uof'(X1,X3) | X2 = X0, inference(clausification, [status(esa)], [sos_35])).
% 88.70/18.05 cnf(c73, plain, ~'occurrence$uof'(X0,X1) | ~arboreal(X2) | ~'subactivity$uoccurrence'(X2,X0) | 'min$uprecedes'(X3,X2,X1) | ~'root$uocc'(X3,X0) | X2 = X3, inference(clausification, [status(esa)], [sos_42])).
% 88.70/18.05 cnf(c82, plain, ~'occurrence$uof'(X0,tptp0) | X1(X0), inference(clausification, [status(esa)], [sos_49])).
% 88.70/18.05 cnf(c83, plain, ~X0(X1) | 'occurrence$uof'(sK169(X1),tptp3), inference(clausification, [status(esa)], [sos_49])).
% 88.70/18.05 cnf(c85, plain, ~X0(X1) | 'occurrence$uof'(sK171(X1),tptp2) | 'occurrence$uof'(sK171(X1),tptp1), inference(clausification, [status(esa)], [sos_49])).
% 88.70/18.05 cnf(c87, plain, ~X0(X1) | 'min$uprecedes'(sK170(X1),sK171(X1),tptp0), inference(clausification, [status(esa)], [sos_49])).
% 88.70/18.05 cnf(c88, plain, ~X0(X1) | 'min$uprecedes'(sK169(X1),sK170(X1),tptp0), inference(clausification, [status(esa)], [sos_49])).
% 88.70/18.05 cnf(c89, plain, ~X0(X1) | 'root$uocc'(sK169(X1),X1), inference(clausification, [status(esa)], [sos_49])).
% 88.70/18.05 cnf(c91, plain, ~atomic(tptp0), inference(clausification, [status(esa)], [sos_51])).
% 88.70/18.05 cnf(c102, plain, 'occurrence$uof'(sK173,tptp0), inference(clausification, [status(esa)], [negated_conjecture])).
% 88.70/18.05 cnf(c103, plain, ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(X1,tptp2) | ~'min$uprecedes'(X0,X1,tptp0) | ~'root$uocc'(X0,sK173), inference(clausification, [status(esa)], [negated_conjecture])).
% 88.70/18.05 cnf(c104, plain, ~'occurrence$uof'(X0,tptp3) | ~'occurrence$uof'(X1,tptp1) | ~'min$uprecedes'(X0,X1,tptp0) | ~'root$uocc'(X0,sK173), inference(clausification, [status(esa)], [negated_conjecture])).
% 88.70/18.05 cnf(d0, plain, 'Ts167'(sK173), inference(resolution, [status(thm)], [c82,c102])).
% 88.70/18.05 cnf(d1, plain, 'occurrence$uof'(sK169(sK173),tptp3), inference(resolution, [status(thm)], [c83,d0])).
% 88.70/18.05 cnf(d2, plain, ~'occurrence$uof'(X0,tptp2) | ~'min$uprecedes'(sK169(sK173),X0,tptp0) | ~'root$uocc'(sK169(sK173),sK173), inference(resolution, [status(thm)], [d1,c103])).
% 88.70/18.05 cnf(d3, plain, 'root$uocc'(sK169(sK173),sK173), inference(resolution, [status(thm)], [c89,d0])).
% 88.70/18.05 cnf(d4, plain, ~'occurrence$uof'(X0,tptp2) | ~'min$uprecedes'(sK169(sK173),X0,tptp0), inference(resolution, [status(thm)], [d3,d2])).
% 88.70/18.05 cnf(d5, plain, 'occurrence$uof'(sK171(sK173),tptp2) | 'occurrence$uof'(sK171(sK173),tptp1), inference(resolution, [status(thm)], [c85,d0])).
% 88.70/18.05 cnf(d6, plain, 'occurrence$uof'(sK171(sK173),tptp1) | ~'min$uprecedes'(sK169(sK173),sK171(sK173),tptp0), inference(resolution, [status(thm)], [d5,d4])).
% 88.70/18.05 cnf(d7, plain, 'min$uprecedes'(sK170(sK173),sK171(sK173),tptp0), inference(resolution, [status(thm)], [c87,d0])).
% 88.70/18.05 cnf(d8, plain, ~root(sK171(sK173),tptp0), inference(resolution, [status(thm)], [d7,c24])).
% 88.70/18.05 cnf(d9, plain, precedes(sK170(sK173),sK171(sK173)), inference(resolution, [status(thm)], [d7,c25])).
% 88.70/18.05 cnf(d10, plain, legal(sK171(sK173)), inference(resolution, [status(thm)], [d9,c14])).
% 88.70/18.05 cnf(d11, plain, arboreal(sK171(sK173)), inference(resolution, [status(thm)], [d10,c11])).
% 88.70/18.05 cnf(d12, plain, 'occurrence$uof'(sK76(tptp0,sK170(sK173),sK171(sK173)),tptp0), inference(resolution, [status(thm)], [d7,c45])).
% 88.70/18.05 cnf(d13, plain, X0 = X1 | ~arboreal(X0) | 'min$uprecedes'(X1,X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK76(tptp0,sK170(sK173),sK171(sK173))) | ~'root$uocc'(X1,sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d12,c73])).
% 88.70/18.05 cnf(d14, plain, sK171(sK173) = X0 | 'min$uprecedes'(X0,sK171(sK173),tptp0) | ~'subactivity$uoccurrence'(sK171(sK173),sK76(tptp0,sK170(sK173),sK171(sK173))) | ~'root$uocc'(X0,sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d13,d11])).
% 88.70/18.05 cnf(d15, plain, 'subactivity$uoccurrence'(sK171(sK173),sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d7,c46])).
% 88.70/18.05 cnf(d16, plain, sK171(sK173) = X0 | 'min$uprecedes'(X0,sK171(sK173),tptp0) | ~'root$uocc'(X0,sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d15,d14])).
% 88.70/18.05 cnf(d17, plain, X0 = X1 | ~'root$uocc'(X1,sK173) | ~'root$uocc'(X0,sK173), inference(resolution, [status(thm)], [c66,c102])).
% 88.70/18.05 cnf(d18, plain, X0 = sK169(sK173) | ~'root$uocc'(X0,sK173), inference(resolution, [status(thm)], [d17,d3])).
% 88.70/18.05 cnf(d19, plain, atomic(tptp0) | root(sK82(tptp0,sK173),tptp0), inference(resolution, [status(thm)], [c50,c102])).
% 88.70/18.05 cnf(d20, plain, root(sK82(tptp0,sK173),tptp0), inference(resolution, [status(thm)], [c91,d19])).
% 88.70/18.05 cnf(d21, plain, ~root(X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK173) | 'root$uocc'(X0,sK173), inference(resolution, [status(thm)], [c61,c102])).
% 88.70/18.05 cnf(d22, plain, ~'subactivity$uoccurrence'(sK82(tptp0,sK173),sK173) | 'root$uocc'(sK82(tptp0,sK173),sK173), inference(resolution, [status(thm)], [d21,d20])).
% 88.70/18.05 cnf(d23, plain, atomic(tptp0) | 'subactivity$uoccurrence'(sK82(tptp0,sK173),sK173), inference(resolution, [status(thm)], [c51,c102])).
% 88.70/18.05 cnf(d24, plain, 'subactivity$uoccurrence'(sK82(tptp0,sK173),sK173), inference(resolution, [status(thm)], [c91,d23])).
% 88.70/18.05 cnf(d25, plain, 'root$uocc'(sK82(tptp0,sK173),sK173), inference(resolution, [status(thm)], [d24,d22])).
% 88.70/18.05 cnf(d26, plain, sK82(tptp0,sK173) = sK169(sK173), inference(resolution, [status(thm)], [d25,d18])).
% 88.70/18.05 cnf(d27, plain, 'occurrence$uof'(sK79(tptp0,sK82(tptp0,sK173)),tptp0) | atomic(tptp0), inference(resolution, [status(thm)], [d20,c48])).
% 88.70/18.05 cnf(d28, plain, 'occurrence$uof'(sK79(tptp0,sK82(tptp0,sK173)),tptp0), inference(resolution, [status(thm)], [c91,d27])).
% 88.70/18.05 cnf(d29, plain, atomic(tptp0) | root(sK82(tptp0,sK79(tptp0,sK82(tptp0,sK173))),tptp0), inference(resolution, [status(thm)], [d28,c50])).
% 88.70/18.05 cnf(d30, plain, atomic(tptp0) | root(sK82(tptp0,sK79(tptp0,sK169(sK173))),tptp0), inference(demodulation, [status(thm)], [d29,d26])).
% 88.70/18.05 cnf(d31, plain, root(sK82(tptp0,sK79(tptp0,sK169(sK173))),tptp0), inference(resolution, [status(thm)], [c91,d30])).
% 88.70/18.05 cnf(d32, plain, ~root(X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK79(tptp0,sK82(tptp0,sK173))) | 'root$uocc'(X0,sK79(tptp0,sK82(tptp0,sK173))), inference(resolution, [status(thm)], [d28,c61])).
% 88.70/18.05 cnf(d33, plain, ~root(X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK79(tptp0,sK169(sK173))) | 'root$uocc'(X0,sK79(tptp0,sK82(tptp0,sK173))), inference(demodulation, [status(thm)], [d32,d26])).
% 88.70/18.05 cnf(d34, plain, ~root(X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK79(tptp0,sK169(sK173))) | 'root$uocc'(X0,sK79(tptp0,sK169(sK173))), inference(demodulation, [status(thm)], [d33,d26])).
% 88.70/18.05 cnf(d35, plain, ~'subactivity$uoccurrence'(sK82(tptp0,sK79(tptp0,sK169(sK173))),sK79(tptp0,sK169(sK173))) | 'root$uocc'(sK82(tptp0,sK79(tptp0,sK169(sK173))),sK79(tptp0,sK169(sK173))), inference(resolution, [status(thm)], [d34,d31])).
% 88.70/18.05 cnf(d36, plain, atomic(tptp0) | 'subactivity$uoccurrence'(sK82(tptp0,sK79(tptp0,sK82(tptp0,sK173))),sK79(tptp0,sK82(tptp0,sK173))), inference(resolution, [status(thm)], [d28,c51])).
% 88.70/18.05 cnf(d37, plain, atomic(tptp0) | 'subactivity$uoccurrence'(sK82(tptp0,sK79(tptp0,sK169(sK173))),sK79(tptp0,sK82(tptp0,sK173))), inference(demodulation, [status(thm)], [d36,d26])).
% 88.70/18.05 cnf(d38, plain, atomic(tptp0) | 'subactivity$uoccurrence'(sK82(tptp0,sK79(tptp0,sK169(sK173))),sK79(tptp0,sK169(sK173))), inference(demodulation, [status(thm)], [d37,d26])).
% 88.70/18.05 cnf(d39, plain, 'subactivity$uoccurrence'(sK82(tptp0,sK79(tptp0,sK169(sK173))),sK79(tptp0,sK169(sK173))), inference(resolution, [status(thm)], [c91,d38])).
% 88.70/18.05 cnf(d40, plain, 'root$uocc'(sK82(tptp0,sK79(tptp0,sK169(sK173))),sK79(tptp0,sK169(sK173))), inference(resolution, [status(thm)], [d39,d35])).
% 88.70/18.05 cnf(d41, plain, X0 = X1 | ~'root$uocc'(X1,sK79(tptp0,sK82(tptp0,sK173))) | ~'root$uocc'(X0,sK79(tptp0,sK82(tptp0,sK173))), inference(resolution, [status(thm)], [d28,c66])).
% 88.70/18.05 cnf(d42, plain, X0 = X1 | ~'root$uocc'(X1,sK79(tptp0,sK169(sK173))) | ~'root$uocc'(X0,sK79(tptp0,sK82(tptp0,sK173))), inference(demodulation, [status(thm)], [d41,d26])).
% 88.70/18.05 cnf(d43, plain, X0 = X1 | ~'root$uocc'(X1,sK79(tptp0,sK169(sK173))) | ~'root$uocc'(X0,sK79(tptp0,sK169(sK173))), inference(demodulation, [status(thm)], [d42,d26])).
% 88.70/18.05 cnf(d44, plain, tptp0 = X0 | ~'occurrence$uof'(sK173,X0), inference(resolution, [status(thm)], [c4,c102])).
% 88.70/18.05 cnf(d45, plain, 'occurrence$uof'(sK173,sK105(sK169(sK173),sK173)), inference(resolution, [status(thm)], [d3,c58])).
% 88.70/18.05 cnf(d46, plain, tptp0 = sK105(sK169(sK173),sK173), inference(resolution, [status(thm)], [d45,d44])).
% 88.70/18.05 cnf(d47, plain, root(sK169(sK173),sK105(sK169(sK173),sK173)), inference(resolution, [status(thm)], [d3,c59])).
% 88.70/18.05 cnf(d48, plain, root(sK169(sK173),tptp0), inference(demodulation, [status(thm)], [d47,d46])).
% 88.70/18.05 cnf(d49, plain, ~'subactivity$uoccurrence'(sK169(sK173),sK79(tptp0,sK169(sK173))) | 'root$uocc'(sK169(sK173),sK79(tptp0,sK169(sK173))), inference(resolution, [status(thm)], [d34,d48])).
% 88.70/18.05 cnf(d50, plain, atomic(tptp0) | 'subactivity$uoccurrence'(sK82(tptp0,sK173),sK79(tptp0,sK82(tptp0,sK173))), inference(resolution, [status(thm)], [d20,c49])).
% 88.70/18.05 cnf(d51, plain, 'subactivity$uoccurrence'(sK82(tptp0,sK173),sK79(tptp0,sK82(tptp0,sK173))), inference(resolution, [status(thm)], [c91,d50])).
% 88.70/18.05 cnf(d52, plain, 'subactivity$uoccurrence'(sK169(sK173),sK79(tptp0,sK82(tptp0,sK173))), inference(demodulation, [status(thm)], [d51,d26])).
% 88.70/18.05 cnf(d53, plain, 'subactivity$uoccurrence'(sK169(sK173),sK79(tptp0,sK169(sK173))), inference(demodulation, [status(thm)], [d52,d26])).
% 88.70/18.05 cnf(d54, plain, 'root$uocc'(sK169(sK173),sK79(tptp0,sK169(sK173))), inference(resolution, [status(thm)], [d53,d49])).
% 88.70/18.05 cnf(d55, plain, X0 = sK169(sK173) | ~'root$uocc'(X0,sK79(tptp0,sK169(sK173))), inference(resolution, [status(thm)], [d54,d43])).
% 88.70/18.05 cnf(d56, plain, sK82(tptp0,sK79(tptp0,sK169(sK173))) = sK169(sK173), inference(resolution, [status(thm)], [d55,d40])).
% 88.70/18.05 cnf(d57, plain, ~root(X0,tptp0) | ~'subactivity$uoccurrence'(X0,sK76(tptp0,sK170(sK173),sK171(sK173))) | 'root$uocc'(X0,sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d12,c61])).
% 88.70/18.05 cnf(d58, plain, ~'subactivity$uoccurrence'(sK82(tptp0,sK79(tptp0,sK169(sK173))),sK76(tptp0,sK170(sK173),sK171(sK173))) | 'root$uocc'(sK82(tptp0,sK79(tptp0,sK169(sK173))),sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d57,d31])).
% 88.70/18.05 cnf(d59, plain, ~'subactivity$uoccurrence'(sK169(sK173),sK76(tptp0,sK170(sK173),sK171(sK173))) | 'root$uocc'(sK82(tptp0,sK79(tptp0,sK169(sK173))),sK76(tptp0,sK170(sK173),sK171(sK173))), inference(demodulation, [status(thm)], [d58,d56])).
% 88.70/18.05 cnf(d60, plain, ~'subactivity$uoccurrence'(sK169(sK173),sK76(tptp0,sK170(sK173),sK171(sK173))) | 'root$uocc'(sK169(sK173),sK76(tptp0,sK170(sK173),sK171(sK173))), inference(demodulation, [status(thm)], [d59,d56])).
% 88.70/18.05 cnf(d61, plain, 'min$uprecedes'(sK169(sK173),sK170(sK173),tptp0), inference(resolution, [status(thm)], [c88,d0])).
% 88.70/18.05 cnf(d62, plain, ~'min$uprecedes'(X0,X1,tptp0) | 'subactivity$uoccurrence'(X0,sK76(tptp0,sK170(sK173),sK171(sK173))) | ~'subactivity$uoccurrence'(X1,sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d12,c53])).
% 88.70/18.05 cnf(d63, plain, ~'subactivity$uoccurrence'(sK170(sK173),sK76(tptp0,sK170(sK173),sK171(sK173))) | 'subactivity$uoccurrence'(sK169(sK173),sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d62,d61])).
% 88.70/18.05 cnf(d64, plain, 'subactivity$uoccurrence'(sK170(sK173),sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d7,c47])).
% 88.70/18.05 cnf(d65, plain, 'subactivity$uoccurrence'(sK169(sK173),sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d64,d63])).
% 88.70/18.05 cnf(d66, plain, 'root$uocc'(sK169(sK173),sK76(tptp0,sK170(sK173),sK171(sK173))), inference(resolution, [status(thm)], [d65,d60])).
% 88.70/18.05 cnf(d67, plain, sK171(sK173) = sK169(sK173) | 'min$uprecedes'(sK169(sK173),sK171(sK173),tptp0), inference(resolution, [status(thm)], [d66,d16])).
% 88.70/18.05 cnf(d68, plain, ~root(sK169(sK173),tptp0) | 'min$uprecedes'(sK169(sK173),sK171(sK173),tptp0), inference(superposition, [status(thm)], [d67,d8])).
% 88.70/18.05 cnf(d69, plain, 'min$uprecedes'(sK169(sK173),sK171(sK173),tptp0), inference(resolution, [status(thm)], [d48,d68])).
% 88.70/18.05 cnf(d70, plain, 'occurrence$uof'(sK171(sK173),tptp1), inference(resolution, [status(thm)], [d69,d6])).
% 88.70/18.05 cnf(d71, plain, ~'occurrence$uof'(X0,tptp3) | ~'min$uprecedes'(X0,sK171(sK173),tptp0) | ~'root$uocc'(X0,sK173), inference(resolution, [status(thm)], [d70,c104])).
% 88.70/18.05 cnf(d72, plain, ~'min$uprecedes'(sK169(sK173),sK171(sK173),tptp0) | ~'root$uocc'(sK169(sK173),sK173), inference(resolution, [status(thm)], [d71,d1])).
% 88.70/18.05 cnf(d73, plain, ~'min$uprecedes'(sK169(sK173),sK171(sK173),tptp0), inference(resolution, [status(thm)], [d3,d72])).
% 88.70/18.05 cnf(d74, plain, $false, inference(resolution, [status(thm)], [d69,d73])).
% 88.70/18.05 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------