%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MSC010+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 08:04:08 AM UTC 2026
% Result : Theorem 36.14s 5.35s
% Output : CNFRefutation 36.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC010+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 00:16:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.14/5.35 % SZS status Theorem for theBenchmark.p
% 36.14/5.35 % SZS output start CNFRefutation for theBenchmark.p
% 36.14/5.35 fof(n1, axiom, ((pv63 != pv64 & (leq(n0,pv5) & (leq(n0,pv63) & (leq(n0,pv64) & (leq(pv5,n998) & (leq(pv63,n5) & (leq(pv64,n5) & (! [X0] : ! [X1] : (((leq(n0,X0) & (leq(n0,X1) & (leq(X0,n2) & leq(X1,n5)))) => 'a$uselect3'('h$uds1$ufilter$uinit',X0,X1) = init)) & (! [X2] : ! [X3] : (((leq(n0,X2) & (leq(n0,X3) & (leq(X2,n5) & leq(X3,n5)))) => 'a$uselect3'('phi$uds1$ufilter$uinit',X2,X3) = init)) & (! [X4] : ! [X5] : (((leq(n0,X4) & (leq(n0,X5) & (leq(X4,n5) & leq(X5,n0)))) => 'a$uselect3'('dv$uds1$ufilter$uinit',X4,X5) = init)) & (! [X6] : ! [X7] : (((leq(n0,X6) & (leq(n0,X7) & (leq(X6,n5) & leq(X7,n5)))) => 'a$uselect3'('q$uds1$ufilter$uinit',X6,X7) = init)) & (! [X8] : ! [X9] : (((leq(n0,X8) & (leq(n0,X9) & (leq(X8,n2) & leq(X9,n2)))) => 'a$uselect3'('r$uds1$ufilter$uinit',X8,X9) = init)) & (! [X10] : ! [X11] : (((leq(n0,X10) & (leq(n0,X11) & (leq(X10,n5) & leq(X11,n0)))) => 'a$uselect3'('xhatmin$uds1$ufilter$uinit',X10,X11) = init)) & (! [X12] : ! [X13] : (((leq(n0,X12) & (leq(n0,X13) & (leq(X12,n5) & leq(X13,n5)))) => 'a$uselect3'('pminus$uds1$ufilter$uinit',X12,X13) = init)) & (! [X14] : ! [X15] : (((leq(n0,X14) & (leq(n0,X15) & (leq(X14,n5) & leq(X15,n5)))) => ((X14 = pv63 & gt(pv64,X15)) => 'a$uselect3'('id$uds1$ufilter$uinit',X14,X15) = init))) & (! [X16] : ! [X17] : (((leq(n0,X16) & (leq(n0,X17) & (leq(X16,n5) & leq(X17,n5)))) => (gt(pv63,X16) => 'a$uselect3'('id$uds1$ufilter$uinit',X16,X17) = init))) & ! [X18] : (((leq(n0,X18) & leq(X18,pred(pv63))) => ! [X19] : (((leq(n0,X19) & leq(X19,n5)) => 'a$uselect3'('id$uds1$ufilter$uinit',X18,X19) = init)))))))))))))))))))) => ! [X20] : ! [X21] : (((leq(n0,X20) & (leq(n0,X21) & (leq(X20,n5) & leq(X21,n5)))) => ((pv64 != X21 & (X20 = pv63 & leq(X21,pv64))) => 'a$uselect3'('id$uds1$ufilter$uinit',X20,X21) = init))))).
% 36.14/5.35 fof(n91, conjecture, ~~(((pv63 != pv64 & (leq(n0,pv5) & (leq(n0,pv63) & (leq(n0,pv64) & (leq(pv5,n998) & (leq(pv63,n5) & (leq(pv64,n5) & (! [X0] : ! [X1] : (((leq(n0,X0) & (leq(n0,X1) & (leq(X0,n2) & leq(X1,n5)))) => 'a$uselect3'('h$uds1$ufilter$uinit',X0,X1) = init)) & (! [X2] : ! [X3] : (((leq(n0,X2) & (leq(n0,X3) & (leq(X2,n5) & leq(X3,n5)))) => 'a$uselect3'('phi$uds1$ufilter$uinit',X2,X3) = init)) & (! [X4] : ! [X5] : (((leq(n0,X4) & (leq(n0,X5) & (leq(X4,n5) & leq(X5,n0)))) => 'a$uselect3'('dv$uds1$ufilter$uinit',X4,X5) = init)) & (! [X6] : ! [X7] : (((leq(n0,X6) & (leq(n0,X7) & (leq(X6,n5) & leq(X7,n5)))) => 'a$uselect3'('q$uds1$ufilter$uinit',X6,X7) = init)) & (! [X8] : ! [X9] : (((leq(n0,X8) & (leq(n0,X9) & (leq(X8,n2) & leq(X9,n2)))) => 'a$uselect3'('r$uds1$ufilter$uinit',X8,X9) = init)) & (! [X10] : ! [X11] : (((leq(n0,X10) & (leq(n0,X11) & (leq(X10,n5) & leq(X11,n0)))) => 'a$uselect3'('xhatmin$uds1$ufilter$uinit',X10,X11) = init)) & (! [X12] : ! [X13] : (((leq(n0,X12) & (leq(n0,X13) & (leq(X12,n5) & leq(X13,n5)))) => 'a$uselect3'('pminus$uds1$ufilter$uinit',X12,X13) = init)) & (! [X14] : ! [X15] : (((leq(n0,X14) & (leq(n0,X15) & (leq(X14,n5) & leq(X15,n5)))) => ((X14 = pv63 & gt(pv64,X15)) => 'a$uselect3'('id$uds1$ufilter$uinit',X14,X15) = init))) & (! [X16] : ! [X17] : (((leq(n0,X16) & (leq(n0,X17) & (leq(X16,n5) & leq(X17,n5)))) => (gt(pv63,X16) => 'a$uselect3'('id$uds1$ufilter$uinit',X16,X17) = init))) & ! [X18] : (((leq(n0,X18) & leq(X18,pred(pv63))) => ! [X19] : (((leq(n0,X19) & leq(X19,n5)) => 'a$uselect3'('id$uds1$ufilter$uinit',X18,X19) = init)))))))))))))))))))) => ! [X20] : ! [X21] : (((leq(n0,X20) & (leq(n0,X21) & (leq(X20,n5) & leq(X21,n5)))) => ((pv64 != X21 & (X20 = pv63 & leq(X21,pv64))) => 'a$uselect3'('id$uds1$ufilter$uinit',X20,X21) = init)))))).
% 36.14/5.35 fof(negated_conjecture, negated_conjecture, ~~~(((pv63 != pv64 & (leq(n0,pv5) & (leq(n0,pv63) & (leq(n0,pv64) & (leq(pv5,n998) & (leq(pv63,n5) & (leq(pv64,n5) & (! [X0] : ! [X1] : (((leq(n0,X0) & (leq(n0,X1) & (leq(X0,n2) & leq(X1,n5)))) => 'a$uselect3'('h$uds1$ufilter$uinit',X0,X1) = init)) & (! [X2] : ! [X3] : (((leq(n0,X2) & (leq(n0,X3) & (leq(X2,n5) & leq(X3,n5)))) => 'a$uselect3'('phi$uds1$ufilter$uinit',X2,X3) = init)) & (! [X4] : ! [X5] : (((leq(n0,X4) & (leq(n0,X5) & (leq(X4,n5) & leq(X5,n0)))) => 'a$uselect3'('dv$uds1$ufilter$uinit',X4,X5) = init)) & (! [X6] : ! [X7] : (((leq(n0,X6) & (leq(n0,X7) & (leq(X6,n5) & leq(X7,n5)))) => 'a$uselect3'('q$uds1$ufilter$uinit',X6,X7) = init)) & (! [X8] : ! [X9] : (((leq(n0,X8) & (leq(n0,X9) & (leq(X8,n2) & leq(X9,n2)))) => 'a$uselect3'('r$uds1$ufilter$uinit',X8,X9) = init)) & (! [X10] : ! [X11] : (((leq(n0,X10) & (leq(n0,X11) & (leq(X10,n5) & leq(X11,n0)))) => 'a$uselect3'('xhatmin$uds1$ufilter$uinit',X10,X11) = init)) & (! [X12] : ! [X13] : (((leq(n0,X12) & (leq(n0,X13) & (leq(X12,n5) & leq(X13,n5)))) => 'a$uselect3'('pminus$uds1$ufilter$uinit',X12,X13) = init)) & (! [X14] : ! [X15] : (((leq(n0,X14) & (leq(n0,X15) & (leq(X14,n5) & leq(X15,n5)))) => ((X14 = pv63 & gt(pv64,X15)) => 'a$uselect3'('id$uds1$ufilter$uinit',X14,X15) = init))) & (! [X16] : ! [X17] : (((leq(n0,X16) & (leq(n0,X17) & (leq(X16,n5) & leq(X17,n5)))) => (gt(pv63,X16) => 'a$uselect3'('id$uds1$ufilter$uinit',X16,X17) = init))) & ! [X18] : (((leq(n0,X18) & leq(X18,pred(pv63))) => ! [X19] : (((leq(n0,X19) & leq(X19,n5)) => 'a$uselect3'('id$uds1$ufilter$uinit',X18,X19) = init)))))))))))))))))))) => ! [X20] : ! [X21] : (((leq(n0,X20) & (leq(n0,X21) & (leq(X20,n5) & leq(X21,n5)))) => ((pv64 != X21 & (X20 = pv63 & leq(X21,pv64))) => 'a$uselect3'('id$uds1$ufilter$uinit',X20,X21) = init))))), inference(negate_conjecture, [status(cth)], [n91])).
% 36.14/5.35 cnf(c0, plain, ~leq(n0,X0) | ~X1 | ~X2 | ~leq(n0,X3) | pv63 = pv64 | ~leq(n0,pv5) | ~leq(X3,n5) | ~X4 | pv64 = X3 | ~X5 | ~leq(X3,pv64) | ~leq(n0,pv64) | ~leq(pv63,n5) | ~X6 | ~leq(pv5,n998) | ~leq(pv64,n5) | ~X7 | ~X8 | X0 != pv63 | ~leq(X0,n5) | 'a$uselect3'('id$uds1$ufilter$uinit',X0,X3) = init | ~leq(n0,pv63) | ~X9 | ~X10 | ~X11, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c1, plain, X0 | leq(n0,sK12), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c2, plain, X0 | leq(n0,sK13), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c3, plain, X0 | leq(sK12,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c4, plain, X0 | leq(sK13,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c5, plain, X0 | gt(pv63,sK12), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c6, plain, X0 | 'a$uselect3'('id$uds1$ufilter$uinit',sK12,sK13) != init, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c7, plain, X0 | leq(n0,sK14), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c8, plain, X0 | leq(sK14,pred(pv63)), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c9, plain, X0 | leq(n0,sK15), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c10, plain, X0 | leq(sK15,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c11, plain, X0 | 'a$uselect3'('id$uds1$ufilter$uinit',sK14,sK15) != init, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c13, plain, X0 | leq(n0,sK17), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c15, plain, X0 | leq(sK17,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c16, plain, X0 | sK16 = pv63, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c17, plain, X0 | gt(pv64,sK17), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c18, plain, X0 | 'a$uselect3'('id$uds1$ufilter$uinit',sK16,sK17) != init, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c19, plain, X0 | leq(n0,sK18), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c20, plain, X0 | leq(n0,sK19), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c21, plain, X0 | leq(sK18,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c22, plain, X0 | leq(sK19,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c23, plain, X0 | 'a$uselect3'('pminus$uds1$ufilter$uinit',sK18,sK19) != init, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c24, plain, X0 | leq(n0,sK20), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c25, plain, X0 | leq(n0,sK21), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c26, plain, X0 | leq(sK20,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c27, plain, X0 | leq(sK21,n0), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c28, plain, X0 | 'a$uselect3'('xhatmin$uds1$ufilter$uinit',sK20,sK21) != init, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c29, plain, X0 | leq(n0,sK22), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c30, plain, X0 | leq(n0,sK23), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c31, plain, X0 | leq(sK22,n2), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c32, plain, X0 | leq(sK23,n2), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c33, plain, X0 | 'a$uselect3'('r$uds1$ufilter$uinit',sK22,sK23) != init, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c34, plain, X0 | leq(n0,sK24), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c35, plain, X0 | leq(n0,sK25), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c36, plain, X0 | leq(sK24,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c37, plain, X0 | leq(sK25,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c38, plain, X0 | 'a$uselect3'('q$uds1$ufilter$uinit',sK24,sK25) != init, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c39, plain, X0 | leq(n0,sK26), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c40, plain, X0 | leq(n0,sK27), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c41, plain, X0 | leq(sK26,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c42, plain, X0 | leq(sK27,n0), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c43, plain, X0 | 'a$uselect3'('dv$uds1$ufilter$uinit',sK26,sK27) != init, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c44, plain, X0 | leq(n0,sK28), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c45, plain, X0 | leq(n0,sK29), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c46, plain, X0 | leq(sK28,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c47, plain, X0 | leq(sK29,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c48, plain, X0 | 'a$uselect3'('phi$uds1$ufilter$uinit',sK28,sK29) != init, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c49, plain, X0 | leq(n0,sK30), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c50, plain, X0 | leq(n0,sK31), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c51, plain, X0 | leq(sK30,n2), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c52, plain, X0 | leq(sK31,n5), inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c53, plain, X0 | 'a$uselect3'('h$uds1$ufilter$uinit',sK30,sK31) != init, inference(clausification, [status(esa)], [n1])).
% 36.14/5.35 cnf(c54, plain, pv63 != pv64, inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c55, plain, leq(n0,pv5), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c56, plain, leq(n0,pv63), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c57, plain, leq(n0,pv64), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c58, plain, leq(pv5,n998), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c59, plain, leq(pv63,n5), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c60, plain, leq(pv64,n5), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c61, plain, ~leq(X0,n5) | 'a$uselect3'('h$uds1$ufilter$uinit',X1,X0) = init | ~leq(n0,X1) | ~leq(X1,n2) | ~leq(n0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c62, plain, 'a$uselect3'('phi$uds1$ufilter$uinit',X0,X1) = init | ~leq(n0,X1) | ~leq(X0,n5) | ~leq(n0,X0) | ~leq(X1,n5), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c63, plain, ~leq(n0,X0) | ~leq(X0,n5) | ~leq(X1,n0) | ~leq(n0,X1) | 'a$uselect3'('dv$uds1$ufilter$uinit',X0,X1) = init, inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c64, plain, ~leq(n0,X0) | 'a$uselect3'('q$uds1$ufilter$uinit',X0,X1) = init | ~leq(X1,n5) | ~leq(X0,n5) | ~leq(n0,X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c65, plain, ~leq(X0,n2) | 'a$uselect3'('r$uds1$ufilter$uinit',X1,X0) = init | ~leq(n0,X1) | ~leq(n0,X0) | ~leq(X1,n2), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c66, plain, ~leq(n0,X0) | ~leq(X1,n5) | 'a$uselect3'('xhatmin$uds1$ufilter$uinit',X1,X0) = init | ~leq(n0,X1) | ~leq(X0,n0), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c67, plain, ~leq(X0,n5) | ~leq(n0,X0) | ~leq(n0,X1) | ~leq(X1,n5) | 'a$uselect3'('pminus$uds1$ufilter$uinit',X1,X0) = init, inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c68, plain, ~leq(X0,n5) | 'a$uselect3'('id$uds1$ufilter$uinit',X1,X0) = init | ~gt(pv64,X0) | X1 != pv63 | ~leq(n0,X1) | ~leq(X1,n5) | ~leq(n0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c69, plain, ~gt(pv63,X0) | 'a$uselect3'('id$uds1$ufilter$uinit',X0,X1) = init | ~leq(n0,X0) | ~leq(n0,X1) | ~leq(X1,n5) | ~leq(X0,n5), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c70, plain, 'a$uselect3'('id$uds1$ufilter$uinit',X0,X1) = init | ~leq(n0,X1) | ~leq(n0,X0) | ~leq(X0,pred(pv63)) | ~leq(X1,n5), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c72, plain, leq(n0,sK53), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c74, plain, leq(sK53,n5), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c75, plain, pv64 != sK53, inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c76, plain, sK52 = pv63, inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c77, plain, leq(sK53,pv64), inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(c78, plain, 'a$uselect3'('id$uds1$ufilter$uinit',sK52,sK53) != init, inference(clausification, [status(esa)], [negated_conjecture])).
% 36.14/5.35 cnf(d0, plain, 'a$uselect3'('id$uds1$ufilter$uinit',pv63,sK17) != init | 'Ts2' | 'Ts2', inference(superposition, [status(thm)], [c16,c18])).
% 36.14/5.35 cnf(d1, plain, 'a$uselect3'('id$uds1$ufilter$uinit',pv63,sK53) != init, inference(demodulation, [status(thm)], [c78,c76])).
% 36.14/5.35 cnf(d2, plain, X0 != pv63 | pv64 = X1 | 'a$uselect3'('id$uds1$ufilter$uinit',X0,X1) = init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts0' | ~'Ts7' | ~leq(X1,pv64) | ~leq(X1,n5) | ~leq(X0,n5) | ~leq(n0,X1) | ~leq(n0,X0) | ~leq(n0,pv64) | ~leq(n0,pv5) | ~leq(n0,pv63) | ~leq(pv64,n5) | ~leq(pv5,n998) | ~leq(pv63,n5) | ~'Ts8' | ~'Ts6' | ~'Ts1' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c54,c0])).
% 36.14/5.35 cnf(d3, plain, pv64 = X0 | 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts0' | ~'Ts7' | ~leq(X0,pv64) | ~leq(X0,n5) | ~leq(pv63,n5) | ~leq(n0,X0) | ~leq(n0,pv63) | ~leq(n0,pv64) | ~leq(n0,pv5) | ~leq(n0,pv63) | ~leq(pv64,n5) | ~leq(pv5,n998) | ~leq(pv63,n5) | ~'Ts8' | ~'Ts6' | ~'Ts1' | ~'Ts2' | ~'Ts5', inference(equality_resolution, [status(thm)], [d2])).
% 36.14/5.35 cnf(d4, plain, pv64 = X0 | 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts0' | ~'Ts7' | ~leq(X0,pv64) | ~leq(X0,n5) | ~leq(n0,X0) | ~leq(n0,pv64) | ~leq(n0,pv63) | ~leq(pv64,n5) | ~leq(pv5,n998) | ~leq(pv63,n5) | ~'Ts8' | ~'Ts6' | ~'Ts1' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c55,d3])).
% 36.14/5.35 cnf(d5, plain, pv64 = X0 | 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts0' | ~'Ts7' | ~leq(X0,pv64) | ~leq(X0,n5) | ~leq(n0,X0) | ~leq(n0,pv64) | ~leq(pv64,n5) | ~leq(pv5,n998) | ~leq(pv63,n5) | ~'Ts8' | ~'Ts6' | ~'Ts1' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c56,d4])).
% 36.14/5.35 cnf(d6, plain, pv64 = X0 | 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts0' | ~'Ts7' | ~leq(X0,pv64) | ~leq(X0,n5) | ~leq(n0,X0) | ~leq(pv64,n5) | ~leq(pv5,n998) | ~leq(pv63,n5) | ~'Ts8' | ~'Ts6' | ~'Ts1' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c57,d5])).
% 36.14/5.35 cnf(d7, plain, pv64 = X0 | 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts0' | ~'Ts7' | ~leq(X0,pv64) | ~leq(X0,n5) | ~leq(n0,X0) | ~leq(pv64,n5) | ~leq(pv63,n5) | ~'Ts8' | ~'Ts6' | ~'Ts1' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c58,d6])).
% 36.14/5.35 cnf(d8, plain, pv64 = X0 | 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts0' | ~'Ts7' | ~leq(X0,pv64) | ~leq(X0,n5) | ~leq(n0,X0) | ~leq(pv64,n5) | ~'Ts8' | ~'Ts6' | ~'Ts1' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c59,d7])).
% 36.14/5.35 cnf(d9, plain, pv64 = X0 | 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts0' | ~'Ts7' | ~leq(X0,pv64) | ~leq(X0,n5) | ~leq(n0,X0) | ~'Ts8' | ~'Ts6' | ~'Ts1' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c60,d8])).
% 36.14/5.35 cnf(d10, plain, init != init | 'Ts0' | ~leq(sK13,n5) | ~leq(sK12,n5) | ~leq(n0,sK13) | ~leq(n0,sK12) | ~gt(pv63,sK12), inference(superposition, [status(thm)], [c69,c6])).
% 36.14/5.35 cnf(d11, plain, 'Ts0' | ~leq(n0,sK12) | ~leq(n0,sK13) | ~leq(sK12,n5) | ~leq(sK13,n5) | ~gt(pv63,sK12), inference(equality_resolution, [status(thm)], [d10])).
% 36.14/5.35 cnf(d12, plain, 'Ts0' | ~leq(n0,sK12) | ~leq(n0,sK13) | ~leq(sK12,n5) | ~leq(sK13,n5) | 'Ts0', inference(resolution, [status(thm)], [d11,c5])).
% 36.14/5.35 cnf(d13, plain, 'Ts0' | ~leq(n0,sK12) | ~leq(n0,sK13) | ~leq(sK12,n5) | 'Ts0', inference(resolution, [status(thm)], [d12,c4])).
% 36.14/5.35 cnf(d14, plain, 'Ts0' | ~leq(n0,sK12) | ~leq(n0,sK13) | 'Ts0', inference(resolution, [status(thm)], [d13,c3])).
% 36.14/5.35 cnf(d15, plain, 'Ts0' | ~leq(n0,sK12) | 'Ts0', inference(resolution, [status(thm)], [d14,c2])).
% 36.14/5.35 cnf(d16, plain, 'Ts0' | 'Ts0', inference(resolution, [status(thm)], [d15,c1])).
% 36.14/5.35 cnf(d17, plain, pv64 = X0 | 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts7' | ~leq(X0,pv64) | ~leq(X0,n5) | ~leq(n0,X0) | ~'Ts8' | ~'Ts6' | ~'Ts1' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [d16,d9])).
% 36.14/5.35 cnf(d18, plain, init != init | 'Ts1' | ~leq(sK15,n5) | ~leq(sK14,pred(pv63)) | ~leq(n0,sK15) | ~leq(n0,sK14), inference(superposition, [status(thm)], [c70,c11])).
% 36.14/5.35 cnf(d19, plain, ~leq(n0,sK14) | ~leq(n0,sK15) | ~leq(sK14,pred(pv63)) | ~leq(sK15,n5) | 'Ts1', inference(equality_resolution, [status(thm)], [d18])).
% 36.14/5.35 cnf(d20, plain, ~leq(n0,sK14) | ~leq(n0,sK15) | ~leq(sK15,n5) | 'Ts1' | 'Ts1', inference(resolution, [status(thm)], [d19,c8])).
% 36.14/5.35 cnf(d21, plain, ~leq(n0,sK14) | ~leq(n0,sK15) | 'Ts1' | 'Ts1', inference(resolution, [status(thm)], [d20,c10])).
% 36.14/5.35 cnf(d22, plain, ~leq(n0,sK14) | 'Ts1' | 'Ts1', inference(resolution, [status(thm)], [d21,c9])).
% 36.14/5.35 cnf(d23, plain, 'Ts1' | 'Ts1', inference(resolution, [status(thm)], [d22,c7])).
% 36.14/5.35 cnf(d24, plain, pv64 = X0 | 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts7' | ~leq(X0,pv64) | ~leq(X0,n5) | ~leq(n0,X0) | ~'Ts8' | ~'Ts6' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [d23,d17])).
% 36.14/5.35 cnf(d25, plain, init != init | pv64 = sK53 | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts7' | ~leq(sK53,pv64) | ~leq(sK53,n5) | ~leq(n0,sK53) | ~'Ts8' | ~'Ts6' | ~'Ts2' | ~'Ts5', inference(superposition, [status(thm)], [d24,d1])).
% 36.14/5.35 cnf(d26, plain, pv64 = sK53 | init != init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts7' | ~leq(n0,sK53) | ~leq(sK53,pv64) | ~'Ts8' | ~'Ts6' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c74,d25])).
% 36.14/5.35 cnf(d27, plain, pv64 = sK53 | init != init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts7' | ~leq(sK53,pv64) | ~'Ts8' | ~'Ts6' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c72,d26])).
% 36.14/5.35 cnf(d28, plain, init != init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts7' | ~leq(sK53,pv64) | ~'Ts8' | ~'Ts6' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c75,d27])).
% 36.14/5.35 cnf(d29, plain, init != init | ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts7' | ~'Ts8' | ~'Ts6' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [c77,d28])).
% 36.14/5.35 cnf(d30, plain, ~'Ts4' | ~'Ts9' | ~'Ts3' | ~'Ts7' | ~'Ts8' | ~'Ts6' | ~'Ts2' | ~'Ts5', inference(equality_resolution, [status(thm)], [d29])).
% 36.14/5.35 cnf(d31, plain, init != init | 'Ts3' | ~leq(sK18,n5) | ~leq(sK19,n5) | ~leq(n0,sK18) | ~leq(n0,sK19), inference(superposition, [status(thm)], [c67,c23])).
% 36.14/5.35 cnf(d32, plain, 'Ts3' | ~leq(n0,sK18) | ~leq(n0,sK19) | ~leq(sK18,n5) | ~leq(sK19,n5), inference(equality_resolution, [status(thm)], [d31])).
% 36.14/5.35 cnf(d33, plain, 'Ts3' | ~leq(n0,sK18) | ~leq(n0,sK19) | ~leq(sK18,n5) | 'Ts3', inference(resolution, [status(thm)], [d32,c22])).
% 36.14/5.35 cnf(d34, plain, 'Ts3' | ~leq(n0,sK18) | ~leq(n0,sK19) | 'Ts3', inference(resolution, [status(thm)], [d33,c21])).
% 36.14/5.35 cnf(d35, plain, 'Ts3' | ~leq(n0,sK18) | 'Ts3', inference(resolution, [status(thm)], [d34,c20])).
% 36.14/5.35 cnf(d36, plain, 'Ts3' | 'Ts3', inference(resolution, [status(thm)], [d35,c19])).
% 36.14/5.35 cnf(d37, plain, ~'Ts4' | ~'Ts9' | ~'Ts7' | ~'Ts8' | ~'Ts6' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [d36,d30])).
% 36.14/5.35 cnf(d38, plain, init != init | 'Ts4' | ~leq(sK20,n5) | ~leq(sK21,n0) | ~leq(n0,sK20) | ~leq(n0,sK21), inference(superposition, [status(thm)], [c66,c28])).
% 36.14/5.35 cnf(d39, plain, 'Ts4' | ~leq(n0,sK20) | ~leq(n0,sK21) | ~leq(sK20,n5) | ~leq(sK21,n0), inference(equality_resolution, [status(thm)], [d38])).
% 36.14/5.35 cnf(d40, plain, 'Ts4' | ~leq(n0,sK20) | ~leq(n0,sK21) | ~leq(sK20,n5) | 'Ts4', inference(resolution, [status(thm)], [d39,c27])).
% 36.14/5.35 cnf(d41, plain, 'Ts4' | ~leq(n0,sK20) | ~leq(n0,sK21) | 'Ts4', inference(resolution, [status(thm)], [d40,c26])).
% 36.14/5.35 cnf(d42, plain, 'Ts4' | ~leq(n0,sK20) | 'Ts4', inference(resolution, [status(thm)], [d41,c25])).
% 36.14/5.35 cnf(d43, plain, 'Ts4' | 'Ts4', inference(resolution, [status(thm)], [d42,c24])).
% 36.14/5.35 cnf(d44, plain, ~'Ts9' | ~'Ts7' | ~'Ts8' | ~'Ts6' | ~'Ts2' | ~'Ts5', inference(resolution, [status(thm)], [d43,d37])).
% 36.14/5.35 cnf(d45, plain, init != init | 'Ts5' | ~leq(sK23,n2) | ~leq(sK22,n2) | ~leq(n0,sK23) | ~leq(n0,sK22), inference(superposition, [status(thm)], [c65,c33])).
% 36.14/5.35 cnf(d46, plain, ~leq(n0,sK22) | ~leq(n0,sK23) | ~leq(sK22,n2) | ~leq(sK23,n2) | 'Ts5', inference(equality_resolution, [status(thm)], [d45])).
% 36.14/5.35 cnf(d47, plain, ~leq(n0,sK22) | ~leq(n0,sK23) | ~leq(sK22,n2) | 'Ts5' | 'Ts5', inference(resolution, [status(thm)], [d46,c32])).
% 36.14/5.35 cnf(d48, plain, ~leq(n0,sK22) | ~leq(n0,sK23) | 'Ts5' | 'Ts5', inference(resolution, [status(thm)], [d47,c31])).
% 36.14/5.35 cnf(d49, plain, ~leq(n0,sK22) | 'Ts5' | 'Ts5', inference(resolution, [status(thm)], [d48,c30])).
% 36.14/5.35 cnf(d50, plain, 'Ts5' | 'Ts5', inference(resolution, [status(thm)], [d49,c29])).
% 36.14/5.35 cnf(d51, plain, ~'Ts9' | ~'Ts7' | ~'Ts8' | ~'Ts6' | ~'Ts2', inference(resolution, [status(thm)], [d50,d44])).
% 36.14/5.35 cnf(d52, plain, init != init | 'Ts6' | ~leq(sK24,n5) | ~leq(sK25,n5) | ~leq(n0,sK24) | ~leq(n0,sK25), inference(superposition, [status(thm)], [c64,c38])).
% 36.14/5.35 cnf(d53, plain, ~leq(n0,sK24) | ~leq(n0,sK25) | ~leq(sK24,n5) | ~leq(sK25,n5) | 'Ts6', inference(equality_resolution, [status(thm)], [d52])).
% 36.14/5.35 cnf(d54, plain, ~leq(n0,sK24) | ~leq(n0,sK25) | ~leq(sK24,n5) | 'Ts6' | 'Ts6', inference(resolution, [status(thm)], [d53,c37])).
% 36.14/5.35 cnf(d55, plain, ~leq(n0,sK24) | ~leq(n0,sK25) | 'Ts6' | 'Ts6', inference(resolution, [status(thm)], [d54,c36])).
% 36.14/5.35 cnf(d56, plain, ~leq(n0,sK24) | 'Ts6' | 'Ts6', inference(resolution, [status(thm)], [d55,c35])).
% 36.14/5.35 cnf(d57, plain, 'Ts6' | 'Ts6', inference(resolution, [status(thm)], [d56,c34])).
% 36.14/5.35 cnf(d58, plain, ~'Ts9' | ~'Ts7' | ~'Ts8' | ~'Ts2', inference(resolution, [status(thm)], [d57,d51])).
% 36.14/5.35 cnf(d59, plain, init != init | 'Ts7' | ~leq(sK27,n0) | ~leq(sK26,n5) | ~leq(n0,sK27) | ~leq(n0,sK26), inference(superposition, [status(thm)], [c63,c43])).
% 36.14/5.35 cnf(d60, plain, 'Ts7' | ~leq(n0,sK26) | ~leq(n0,sK27) | ~leq(sK26,n5) | ~leq(sK27,n0), inference(equality_resolution, [status(thm)], [d59])).
% 36.14/5.35 cnf(d61, plain, 'Ts7' | ~leq(n0,sK26) | ~leq(n0,sK27) | ~leq(sK26,n5) | 'Ts7', inference(resolution, [status(thm)], [d60,c42])).
% 36.14/5.35 cnf(d62, plain, 'Ts7' | ~leq(n0,sK26) | ~leq(n0,sK27) | 'Ts7', inference(resolution, [status(thm)], [d61,c41])).
% 36.14/5.35 cnf(d63, plain, 'Ts7' | ~leq(n0,sK26) | 'Ts7', inference(resolution, [status(thm)], [d62,c40])).
% 36.14/5.35 cnf(d64, plain, 'Ts7' | 'Ts7', inference(resolution, [status(thm)], [d63,c39])).
% 36.14/5.35 cnf(d65, plain, ~'Ts9' | ~'Ts8' | ~'Ts2', inference(resolution, [status(thm)], [d64,d58])).
% 36.14/5.35 cnf(d66, plain, init != init | 'Ts8' | ~leq(sK29,n5) | ~leq(sK28,n5) | ~leq(n0,sK29) | ~leq(n0,sK28), inference(superposition, [status(thm)], [c62,c48])).
% 36.14/5.35 cnf(d67, plain, ~leq(n0,sK28) | ~leq(n0,sK29) | ~leq(sK28,n5) | ~leq(sK29,n5) | 'Ts8', inference(equality_resolution, [status(thm)], [d66])).
% 36.14/5.35 cnf(d68, plain, ~leq(n0,sK28) | ~leq(n0,sK29) | ~leq(sK28,n5) | 'Ts8' | 'Ts8', inference(resolution, [status(thm)], [d67,c47])).
% 36.14/5.35 cnf(d69, plain, ~leq(n0,sK28) | ~leq(n0,sK29) | 'Ts8' | 'Ts8', inference(resolution, [status(thm)], [d68,c46])).
% 36.14/5.35 cnf(d70, plain, ~leq(n0,sK28) | 'Ts8' | 'Ts8', inference(resolution, [status(thm)], [d69,c45])).
% 36.14/5.35 cnf(d71, plain, 'Ts8' | 'Ts8', inference(resolution, [status(thm)], [d70,c44])).
% 36.14/5.35 cnf(d72, plain, ~'Ts9' | ~'Ts2', inference(resolution, [status(thm)], [d71,d65])).
% 36.14/5.35 cnf(d73, plain, init != init | 'Ts9' | ~leq(sK31,n5) | ~leq(sK30,n2) | ~leq(n0,sK31) | ~leq(n0,sK30), inference(superposition, [status(thm)], [c61,c53])).
% 36.14/5.35 cnf(d74, plain, 'Ts9' | ~leq(n0,sK30) | ~leq(n0,sK31) | ~leq(sK30,n2) | ~leq(sK31,n5), inference(equality_resolution, [status(thm)], [d73])).
% 36.14/5.35 cnf(d75, plain, 'Ts9' | ~leq(n0,sK30) | ~leq(n0,sK31) | ~leq(sK30,n2) | 'Ts9', inference(resolution, [status(thm)], [d74,c52])).
% 36.14/5.35 cnf(d76, plain, 'Ts9' | ~leq(n0,sK30) | ~leq(n0,sK31) | 'Ts9', inference(resolution, [status(thm)], [d75,c51])).
% 36.14/5.35 cnf(d77, plain, 'Ts9' | ~leq(n0,sK30) | 'Ts9', inference(resolution, [status(thm)], [d76,c50])).
% 36.14/5.35 cnf(d78, plain, 'Ts9' | 'Ts9', inference(resolution, [status(thm)], [d77,c49])).
% 36.14/5.35 cnf(d79, plain, ~'Ts2', inference(resolution, [status(thm)], [d78,d72])).
% 36.14/5.35 cnf(d80, plain, 'a$uselect3'('id$uds1$ufilter$uinit',pv63,sK17) != init, inference(resolution, [status(thm)], [d79,d0])).
% 36.14/5.35 cnf(d81, plain, 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~leq(pv63,n5) | ~leq(X0,n5) | ~leq(n0,pv63) | ~leq(n0,X0) | ~gt(pv64,X0), inference(equality_resolution, [status(thm)], [c68])).
% 36.14/5.35 cnf(d82, plain, 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~leq(X0,n5) | ~leq(n0,X0) | ~leq(pv63,n5) | ~gt(pv64,X0), inference(resolution, [status(thm)], [c56,d81])).
% 36.14/5.35 cnf(d83, plain, 'a$uselect3'('id$uds1$ufilter$uinit',pv63,X0) = init | ~leq(X0,n5) | ~leq(n0,X0) | ~gt(pv64,X0), inference(resolution, [status(thm)], [c59,d82])).
% 36.14/5.35 cnf(d84, plain, init != init | ~leq(sK17,n5) | ~leq(n0,sK17) | ~gt(pv64,sK17), inference(superposition, [status(thm)], [d83,d80])).
% 36.14/5.35 cnf(d85, plain, leq(sK17,n5), inference(resolution, [status(thm)], [d79,c15])).
% 36.14/5.35 cnf(d86, plain, init != init | ~leq(n0,sK17) | ~gt(pv64,sK17), inference(resolution, [status(thm)], [d85,d84])).
% 36.14/5.35 cnf(d87, plain, leq(n0,sK17), inference(resolution, [status(thm)], [d79,c13])).
% 36.14/5.35 cnf(d88, plain, init != init | ~gt(pv64,sK17), inference(resolution, [status(thm)], [d87,d86])).
% 36.14/5.35 cnf(d89, plain, gt(pv64,sK17), inference(resolution, [status(thm)], [d79,c17])).
% 36.14/5.35 cnf(d90, plain, init != init, inference(resolution, [status(thm)], [d89,d88])).
% 36.14/5.35 cnf(d91, plain, $false, inference(equality_resolution, [status(thm)], [d90])).
% 36.14/5.35 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------