%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV031+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 : n002.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 151.23s 39.46s
% Output : CNFRefutation 151.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV031+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 13:10:11 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 151.23/39.46 % SZS status Theorem for theBenchmark.p
% 151.23/39.46 % SZS output start CNFRefutation for theBenchmark.p
% 151.23/39.46 fof(const_array2_select, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ! [X6] : (((leq(X1,X0) & (leq(X0,X2) & (leq(X4,X3) & leq(X3,X5)))) => 'a$uselect3'('tptp$uconst$uarray2'(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6))).
% 151.23/39.46 fof(pred_minus_1, axiom, ! [X0] : minus(X0,n1) = pred(X0)).
% 151.23/39.46 fof(gauss_init_0037, conjecture, ((init = init & (leq(n0,pv9) & (leq(n0,pv10) & (leq(pv9,minus(n410,n1)) & (leq(pv10,minus(n330,n1)) & (! [X0] : (((leq(n0,X0) & leq(X0,n2)) => ! [X1] : (((leq(n0,X1) & leq(X1,n3)) => 'a$uselect3'('simplex7$uinit',X1,X0) = init)))) & ! [X2] : (((leq(n0,X2) & leq(X2,n3)) => 'a$uselect2'('s$uvalues7$uinit',X2) = init)))))))) => (init = init & ('a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) = init & (leq(n0,pv9) & (leq(pv9,minus(n410,n1)) & (! [X3] : (((leq(n0,X3) & leq(X3,n2)) => ! [X4] : (((leq(n0,X4) & leq(X4,n3)) => 'a$uselect3'('simplex7$uinit',X4,X3) = init)))) & ! [X5] : (((leq(n0,X5) & leq(X5,n3)) => 'a$uselect2'('s$uvalues7$uinit',X5) = init))))))))).
% 151.23/39.46 fof(negated_conjecture, negated_conjecture, ~(((init = init & (leq(n0,pv9) & (leq(n0,pv10) & (leq(pv9,minus(n410,n1)) & (leq(pv10,minus(n330,n1)) & (! [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,n3)) => 'a$uselect2'('s$uvalues7$uinit',X2) = init)))))))) => (init = init & ('a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) = init & (leq(n0,pv9) & (leq(pv9,minus(n410,n1)) & (! [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,n3)) => 'a$uselect2'('s$uvalues7$uinit',X5) = init))))))))), inference(negate_conjecture, [status(cth)], [gauss_init_0037])).
% 151.23/39.46 cnf(c67, plain, ~leq(X0,X1) | ~leq(X2,X3) | 'a$uselect3'('tptp$uconst$uarray2'(dim(X0,X4),dim(X2,X5),X6),X1,X3) = X6 | ~leq(X3,X5) | ~leq(X1,X4), inference(clausification, [status(esa)], [const_array2_select])).
% 151.23/39.46 cnf(c149, plain, minus(X0,n1) = pred(X0), inference(clausification, [status(esa)], [pred_minus_1])).
% 151.23/39.46 cnf(c172, plain, leq(n0,pv9), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c173, plain, leq(n0,pv10), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c174, plain, leq(pv9,minus(n410,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c175, plain, leq(pv10,minus(n330,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c176, 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])).
% 151.23/39.46 cnf(c177, plain, ~leq(n0,X0) | ~leq(X0,n3) | 'a$uselect2'('s$uvalues7$uinit',X0) = init, inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c178, plain, init != init | 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | ~X0 | ~leq(pv9,minus(n410,n1)) | ~leq(n0,pv9) | leq(n0,sK185), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c179, plain, init != init | 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | ~X0 | ~leq(pv9,minus(n410,n1)) | leq(sK185,n3) | ~leq(n0,pv9), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c180, plain, init != init | 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | ~X0 | 'a$uselect2'('s$uvalues7$uinit',sK185) != init | ~leq(pv9,minus(n410,n1)) | ~leq(n0,pv9), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c181, plain, X0 | leq(n0,sK186), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c182, plain, X0 | leq(sK186,n2), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c183, plain, X0 | leq(n0,sK187), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c184, plain, X0 | leq(sK187,n3), inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(c185, plain, X0 | 'a$uselect3'('simplex7$uinit',sK187,sK186) != init, inference(clausification, [status(esa)], [negated_conjecture])).
% 151.23/39.46 cnf(d0, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) != init | 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | init != init | ~leq(pv9,minus(n410,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c172,c180])).
% 151.23/39.46 cnf(d1, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) != init | 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | init != init | ~'Ts181', inference(resolution, [status(thm)], [c174,d0])).
% 151.23/39.46 cnf(d2, plain, init != init | 'Ts181' | ~leq(sK187,n3) | ~leq(sK186,n2) | ~leq(n0,sK187) | ~leq(n0,sK186), inference(superposition, [status(thm)], [c176,c185])).
% 151.23/39.46 cnf(d3, plain, ~leq(n0,sK186) | ~leq(n0,sK187) | ~leq(sK186,n2) | ~leq(sK187,n3) | 'Ts181', inference(equality_resolution, [status(thm)], [d2])).
% 151.23/39.46 cnf(d4, plain, ~leq(n0,sK186) | ~leq(n0,sK187) | ~leq(sK186,n2) | 'Ts181' | 'Ts181', inference(resolution, [status(thm)], [d3,c184])).
% 151.23/39.46 cnf(d5, plain, ~leq(n0,sK186) | ~leq(n0,sK187) | 'Ts181' | 'Ts181', inference(resolution, [status(thm)], [d4,c182])).
% 151.23/39.46 cnf(d6, plain, ~leq(n0,sK186) | 'Ts181' | 'Ts181', inference(resolution, [status(thm)], [d5,c183])).
% 151.23/39.46 cnf(d7, plain, 'Ts181' | 'Ts181', inference(resolution, [status(thm)], [d6,c181])).
% 151.23/39.46 cnf(d8, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) != init | 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | init != init, inference(resolution, [status(thm)], [d7,d1])).
% 151.23/39.46 cnf(d9, plain, init != init | 'a$uselect2'('s$uvalues7$uinit',sK185) != init | init != init | ~leq(n0,pv10) | ~leq(n0,pv9) | ~leq(pv10,minus(n330,n1)) | ~leq(pv9,minus(n410,n1)), inference(superposition, [status(thm)], [c67,d8])).
% 151.23/39.46 cnf(d10, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) != init | init != init | ~leq(n0,pv9) | ~leq(n0,pv10) | ~leq(pv9,pred(n410)) | ~leq(pv10,minus(n330,n1)), inference(demodulation, [status(thm)], [d9,c149])).
% 151.23/39.46 cnf(d11, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) != init | init != init | ~leq(n0,pv9) | ~leq(n0,pv10) | ~leq(pv9,pred(n410)) | ~leq(pv10,pred(n330)), inference(demodulation, [status(thm)], [d10,c149])).
% 151.23/39.46 cnf(d12, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) != init | init != init | ~leq(n0,pv10) | ~leq(pv9,pred(n410)) | ~leq(pv10,pred(n330)), inference(resolution, [status(thm)], [c172,d11])).
% 151.23/39.46 cnf(d13, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) != init | init != init | ~leq(pv9,pred(n410)) | ~leq(pv10,pred(n330)), inference(resolution, [status(thm)], [c173,d12])).
% 151.23/39.46 cnf(d14, plain, leq(pv10,pred(n330)), inference(demodulation, [status(thm)], [c175,c149])).
% 151.23/39.46 cnf(d15, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) != init | init != init | ~leq(pv9,pred(n410)), inference(resolution, [status(thm)], [d14,d13])).
% 151.23/39.46 cnf(d16, plain, leq(pv9,pred(n410)), inference(demodulation, [status(thm)], [c174,c149])).
% 151.23/39.46 cnf(d17, plain, 'a$uselect2'('s$uvalues7$uinit',sK185) != init | init != init, inference(resolution, [status(thm)], [d16,d15])).
% 151.23/39.46 cnf(d18, plain, init != init | init != init | ~leq(sK185,n3) | ~leq(n0,sK185), inference(superposition, [status(thm)], [c177,d17])).
% 151.23/39.46 cnf(d19, plain, 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | init != init | ~leq(pv9,minus(n410,n1)) | leq(sK185,n3) | ~'Ts181', inference(resolution, [status(thm)], [c172,c179])).
% 151.23/39.46 cnf(d20, plain, 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | init != init | leq(sK185,n3) | ~'Ts181', inference(resolution, [status(thm)], [c174,d19])).
% 151.23/39.46 cnf(d21, plain, 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | init != init | leq(sK185,n3), inference(resolution, [status(thm)], [d7,d20])).
% 151.23/39.46 cnf(d22, plain, init != init | init != init | leq(sK185,n3) | ~leq(n0,pv10) | ~leq(n0,pv9) | ~leq(pv10,minus(n330,n1)) | ~leq(pv9,minus(n410,n1)), inference(superposition, [status(thm)], [c67,d21])).
% 151.23/39.46 cnf(d23, plain, init != init | ~leq(n0,pv9) | ~leq(n0,pv10) | ~leq(pv9,pred(n410)) | ~leq(pv10,minus(n330,n1)) | leq(sK185,n3), inference(demodulation, [status(thm)], [d22,c149])).
% 151.23/39.46 cnf(d24, plain, init != init | ~leq(n0,pv9) | ~leq(n0,pv10) | ~leq(pv9,pred(n410)) | ~leq(pv10,pred(n330)) | leq(sK185,n3), inference(demodulation, [status(thm)], [d23,c149])).
% 151.23/39.46 cnf(d25, plain, init != init | ~leq(n0,pv10) | ~leq(pv9,pred(n410)) | ~leq(pv10,pred(n330)) | leq(sK185,n3), inference(resolution, [status(thm)], [c172,d24])).
% 151.23/39.46 cnf(d26, plain, init != init | ~leq(pv9,pred(n410)) | ~leq(pv10,pred(n330)) | leq(sK185,n3), inference(resolution, [status(thm)], [c173,d25])).
% 151.23/39.46 cnf(d27, plain, init != init | ~leq(pv9,pred(n410)) | leq(sK185,n3), inference(resolution, [status(thm)], [d14,d26])).
% 151.23/39.46 cnf(d28, plain, init != init | leq(sK185,n3), inference(resolution, [status(thm)], [d16,d27])).
% 151.23/39.46 cnf(d29, plain, leq(sK185,n3), inference(equality_resolution, [status(thm)], [d28])).
% 151.23/39.46 cnf(d30, plain, init != init | ~leq(n0,sK185), inference(resolution, [status(thm)], [d29,d18])).
% 151.23/39.46 cnf(d31, plain, 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | init != init | leq(n0,sK185) | ~leq(pv9,minus(n410,n1)) | ~'Ts181', inference(resolution, [status(thm)], [c172,c178])).
% 151.23/39.46 cnf(d32, plain, 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | init != init | leq(n0,sK185) | ~'Ts181', inference(resolution, [status(thm)], [c174,d31])).
% 151.23/39.46 cnf(d33, plain, 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init | init != init | leq(n0,sK185), inference(resolution, [status(thm)], [d7,d32])).
% 151.23/39.46 cnf(d34, plain, init != init | init != init | leq(n0,sK185) | ~leq(n0,pv10) | ~leq(n0,pv9) | ~leq(pv10,minus(n330,n1)) | ~leq(pv9,minus(n410,n1)), inference(superposition, [status(thm)], [c67,d33])).
% 151.23/39.46 cnf(d35, plain, init != init | ~leq(n0,pv9) | ~leq(n0,pv10) | leq(n0,sK185) | ~leq(pv9,pred(n410)) | ~leq(pv10,minus(n330,n1)), inference(demodulation, [status(thm)], [d34,c149])).
% 151.23/39.46 cnf(d36, plain, init != init | ~leq(n0,pv9) | ~leq(n0,pv10) | leq(n0,sK185) | ~leq(pv9,pred(n410)) | ~leq(pv10,pred(n330)), inference(demodulation, [status(thm)], [d35,c149])).
% 151.23/39.46 cnf(d37, plain, init != init | ~leq(n0,pv10) | leq(n0,sK185) | ~leq(pv9,pred(n410)) | ~leq(pv10,pred(n330)), inference(resolution, [status(thm)], [c172,d36])).
% 151.23/39.46 cnf(d38, plain, init != init | leq(n0,sK185) | ~leq(pv9,pred(n410)) | ~leq(pv10,pred(n330)), inference(resolution, [status(thm)], [c173,d37])).
% 151.23/39.46 cnf(d39, plain, init != init | leq(n0,sK185) | ~leq(pv9,pred(n410)), inference(resolution, [status(thm)], [d14,d38])).
% 151.23/39.46 cnf(d40, plain, init != init | leq(n0,sK185), inference(resolution, [status(thm)], [d16,d39])).
% 151.23/39.46 cnf(d41, plain, leq(n0,sK185), inference(equality_resolution, [status(thm)], [d40])).
% 151.23/39.46 cnf(d42, plain, init != init, inference(resolution, [status(thm)], [d41,d30])).
% 151.23/39.46 cnf(d43, plain, $false, inference(equality_resolution, [status(thm)], [d42])).
% 151.23/39.46 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------