%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV030+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 09:01:17 AM UTC 2026
% Result : Theorem 15.90s 2.85s
% Output : CNFRefutation 15.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV030+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 26 13:07:19 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.90/2.85 % SZS status Theorem for theBenchmark.p
% 15.90/2.85 % SZS output start CNFRefutation for theBenchmark.p
% 15.90/2.85 fof(gauss_init_0033, conjecture, ((init = init & (leq(n0,pv7) & (leq(n0,pv19) & (leq(n0,pv20) & (leq(n0,pv1376) & (leq(pv7,minus(n410,n1)) & (leq(pv19,minus(n410,n1)) & (leq(pv20,minus(n330,n1)) & (leq(pv1376,n3) & (! [X0] : (((leq(n0,X0) & leq(X0,n2)) => ! [X1] : (((leq(n0,X1) & leq(X1,n3)) => 'a$uselect3'('simplex7$uinit',X1,X0) = init)))) & ! [X2] : (((leq(n0,X2) & leq(X2,minus(pv1376,n1))) => 'a$uselect2'('s$uvalues7$uinit',X2) = init)))))))))))) => (init = init & (leq(n0,pv7) & (leq(n0,pv19) & (leq(n0,pv20) & (leq(n0,pv1376) & (leq(pv7,minus(n410,n1)) & (leq(pv19,minus(n410,n1)) & (leq(pv20,minus(n330,n1)) & (leq(pv1376,n3) & (! [X3] : (((leq(n0,X3) & leq(X3,n2)) => ! [X4] : (((leq(n0,X4) & leq(X4,n3)) => 'a$uselect3'('simplex7$uinit',X4,X3) = init)))) & ! [X5] : (((leq(n0,X5) & leq(X5,minus(pv1376,n1))) => 'a$uselect2'('s$uvalues7$uinit',X5) = init)))))))))))))).
% 15.90/2.85 fof(negated_conjecture, negated_conjecture, ~(((init = init & (leq(n0,pv7) & (leq(n0,pv19) & (leq(n0,pv20) & (leq(n0,pv1376) & (leq(pv7,minus(n410,n1)) & (leq(pv19,minus(n410,n1)) & (leq(pv20,minus(n330,n1)) & (leq(pv1376,n3) & (! [X0] : (((leq(n0,X0) & leq(X0,n2)) => ! [X1] : (((leq(n0,X1) & leq(X1,n3)) => 'a$uselect3'('simplex7$uinit',X1,X0) = init)))) & ! [X2] : (((leq(n0,X2) & leq(X2,minus(pv1376,n1))) => 'a$uselect2'('s$uvalues7$uinit',X2) = init)))))))))))) => (init = init & (leq(n0,pv7) & (leq(n0,pv19) & (leq(n0,pv20) & (leq(n0,pv1376) & (leq(pv7,minus(n410,n1)) & (leq(pv19,minus(n410,n1)) & (leq(pv20,minus(n330,n1)) & (leq(pv1376,n3) & (! [X3] : (((leq(n0,X3) & leq(X3,n2)) => ! [X4] : (((leq(n0,X4) & leq(X4,n3)) => 'a$uselect3'('simplex7$uinit',X4,X3) = init)))) & ! [X5] : (((leq(n0,X5) & leq(X5,minus(pv1376,n1))) => 'a$uselect2'('s$uvalues7$uinit',X5) = init)))))))))))))), inference(negate_conjecture, [status(cth)], [gauss_init_0033])).
% 15.90/2.85 cnf(c172, plain, leq(n0,pv7), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c173, plain, leq(n0,pv19), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c174, plain, leq(n0,pv20), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c175, plain, leq(n0,pv1376), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c176, plain, leq(pv7,minus(n410,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c177, plain, leq(pv19,minus(n410,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c178, plain, leq(pv20,minus(n330,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c179, plain, leq(pv1376,n3), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c180, plain, ~leq(n0,X0) | ~leq(n0,X1) | 'a$uselect3'('simplex7$uinit',X0,X1) = init | ~leq(X1,n2) | ~leq(X0,n3), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c181, plain, ~leq(n0,X0) | ~leq(X0,minus(pv1376,n1)) | 'a$uselect2'('s$uvalues7$uinit',X0) = init, inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c182, plain, ~leq(n0,pv19) | init != init | ~leq(n0,pv1376) | ~leq(pv19,minus(n410,n1)) | ~leq(pv7,minus(n410,n1)) | ~leq(pv1376,n3) | ~leq(n0,pv20) | ~leq(pv20,minus(n330,n1)) | leq(n0,sK185) | ~X0 | ~leq(n0,pv7), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c183, plain, ~leq(n0,pv19) | init != init | ~leq(n0,pv1376) | ~leq(pv19,minus(n410,n1)) | ~leq(pv7,minus(n410,n1)) | ~leq(pv1376,n3) | ~leq(n0,pv20) | leq(sK185,minus(pv1376,n1)) | ~leq(pv20,minus(n330,n1)) | ~X0 | ~leq(n0,pv7), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c184, plain, ~leq(n0,pv19) | init != init | ~leq(n0,pv1376) | ~leq(pv19,minus(n410,n1)) | ~leq(pv7,minus(n410,n1)) | ~leq(pv1376,n3) | 'a$uselect2'('s$uvalues7$uinit',sK185) != init | ~leq(n0,pv20) | ~leq(pv20,minus(n330,n1)) | ~X0 | ~leq(n0,pv7), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c185, plain, X0 | leq(n0,sK186), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c186, plain, X0 | leq(sK186,n2), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c187, plain, X0 | leq(n0,sK187), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c188, plain, X0 | leq(sK187,n3), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(c189, plain, X0 | 'a$uselect3'('simplex7$uinit',sK187,sK186) != init, inference(clausification, [status(esa)], [negated_conjecture])).
% 15.90/2.85 cnf(d0, plain, init != init | ~leq(n0,pv19) | ~leq(n0,pv20) | ~leq(n0,pv1376) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | leq(sK185,minus(pv1376,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c172,c183])).
% 15.90/2.85 cnf(d1, plain, init != init | ~leq(n0,pv20) | ~leq(n0,pv1376) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | leq(sK185,minus(pv1376,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c173,d0])).
% 15.90/2.85 cnf(d2, plain, init != init | ~leq(n0,pv1376) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | leq(sK185,minus(pv1376,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c174,d1])).
% 15.90/2.85 cnf(d3, plain, init != init | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | leq(sK185,minus(pv1376,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c175,d2])).
% 15.90/2.85 cnf(d4, plain, init != init | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | leq(sK185,minus(pv1376,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c179,d3])).
% 15.90/2.85 cnf(d5, plain, init != init | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | leq(sK185,minus(pv1376,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c176,d4])).
% 15.90/2.85 cnf(d6, plain, init != init | ~leq(pv20,minus(n330,n1)) | leq(sK185,minus(pv1376,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c177,d5])).
% 15.90/2.85 cnf(d7, plain, init != init | leq(sK185,minus(pv1376,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c178,d6])).
% 15.90/2.85 cnf(d8, plain, init != init | 'Ts181' | ~leq(sK187,n3) | ~leq(sK186,n2) | ~leq(n0,sK187) | ~leq(n0,sK186), inference(superposition, [status(thm)], [c180,c189])).
% 15.90/2.85 cnf(d9, plain, ~leq(n0,sK186) | ~leq(n0,sK187) | ~leq(sK186,n2) | ~leq(sK187,n3) | 'Ts181', inference(equality_resolution, [status(thm)], [d8])).
% 15.90/2.85 cnf(d10, plain, ~leq(n0,sK186) | ~leq(n0,sK187) | ~leq(sK186,n2) | 'Ts181' | 'Ts181', inference(resolution, [status(thm)], [d9,c188])).
% 15.90/2.85 cnf(d11, plain, ~leq(n0,sK186) | ~leq(n0,sK187) | 'Ts181' | 'Ts181', inference(resolution, [status(thm)], [d10,c186])).
% 15.90/2.85 cnf(d12, plain, ~leq(n0,sK186) | 'Ts181' | 'Ts181', inference(resolution, [status(thm)], [d11,c187])).
% 15.90/2.85 cnf(d13, plain, 'Ts181' | 'Ts181', inference(resolution, [status(thm)], [d12,c185])).
% 15.90/2.85 cnf(d14, plain, init != init | leq(sK185,minus(pv1376,n1)), inference(resolution, [status(thm)], [d13,d7])).
% 15.90/2.85 cnf(d15, plain, leq(sK185,minus(pv1376,n1)), inference(equality_resolution, [status(thm)], [d14])).
% 15.90/2.85 cnf(d16, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) = init | ~leq(n0,sK185), inference(resolution, [status(thm)], [d15,c181])).
% 15.90/2.85 cnf(d17, plain, init != init | ~leq(n0,pv19) | ~leq(n0,pv20) | ~leq(n0,pv1376) | leq(n0,sK185) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | ~'Ts181', inference(resolution, [status(thm)], [c172,c182])).
% 15.90/2.85 cnf(d18, plain, init != init | ~leq(n0,pv20) | ~leq(n0,pv1376) | leq(n0,sK185) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | ~'Ts181', inference(resolution, [status(thm)], [c173,d17])).
% 15.90/2.85 cnf(d19, plain, init != init | ~leq(n0,pv1376) | leq(n0,sK185) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | ~'Ts181', inference(resolution, [status(thm)], [c174,d18])).
% 15.90/2.85 cnf(d20, plain, init != init | leq(n0,sK185) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | ~'Ts181', inference(resolution, [status(thm)], [c175,d19])).
% 15.90/2.85 cnf(d21, plain, init != init | leq(n0,sK185) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c179,d20])).
% 15.90/2.85 cnf(d22, plain, init != init | leq(n0,sK185) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c176,d21])).
% 15.90/2.85 cnf(d23, plain, init != init | leq(n0,sK185) | ~leq(pv20,minus(n330,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c177,d22])).
% 15.90/2.85 cnf(d24, plain, init != init | leq(n0,sK185) | ~'Ts181', inference(resolution, [status(thm)], [c178,d23])).
% 15.90/2.85 cnf(d25, plain, init != init | leq(n0,sK185), inference(resolution, [status(thm)], [d13,d24])).
% 15.90/2.85 cnf(d26, plain, leq(n0,sK185), inference(equality_resolution, [status(thm)], [d25])).
% 15.90/2.85 cnf(d27, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) = init, inference(resolution, [status(thm)], [d26,d16])).
% 15.90/2.85 cnf(d28, plain, init != init | init != init | ~leq(n0,pv7) | ~leq(n0,pv19) | ~leq(n0,pv20) | ~leq(n0,pv1376) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | ~'Ts181', inference(demodulation, [status(thm)], [c184,d27])).
% 15.90/2.85 cnf(d29, plain, init != init | init != init | ~leq(n0,pv19) | ~leq(n0,pv20) | ~leq(n0,pv1376) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | ~'Ts181', inference(resolution, [status(thm)], [c172,d28])).
% 15.90/2.85 cnf(d30, plain, init != init | ~leq(n0,pv20) | ~leq(n0,pv1376) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | ~'Ts181', inference(resolution, [status(thm)], [c173,d29])).
% 15.90/2.85 cnf(d31, plain, init != init | ~leq(n0,pv1376) | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | ~'Ts181', inference(resolution, [status(thm)], [c174,d30])).
% 15.90/2.85 cnf(d32, plain, init != init | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~leq(pv1376,n3) | ~'Ts181', inference(resolution, [status(thm)], [c175,d31])).
% 15.90/2.85 cnf(d33, plain, init != init | ~leq(pv7,minus(n410,n1)) | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c179,d32])).
% 15.90/2.85 cnf(d34, plain, init != init | ~leq(pv19,minus(n410,n1)) | ~leq(pv20,minus(n330,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c176,d33])).
% 15.90/2.85 cnf(d35, plain, init != init | ~leq(pv20,minus(n330,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c177,d34])).
% 15.90/2.85 cnf(d36, plain, init != init | ~'Ts181', inference(resolution, [status(thm)], [c178,d35])).
% 15.90/2.85 cnf(d37, plain, init != init, inference(resolution, [status(thm)], [d13,d36])).
% 15.90/2.85 cnf(d38, plain, $false, inference(equality_resolution, [status(thm)], [d37])).
% 15.90/2.85 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------