%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV111+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 09:01:26 AM UTC 2026
% Result : Theorem 61.70s 9.43s
% Output : CNFRefutation 61.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV111+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n013.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 13:12:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.70/9.43 % SZS status Theorem for theBenchmark.p
% 61.70/9.43 % SZS output start CNFRefutation for theBenchmark.p
% 61.70/9.43 fof(successor_4, axiom, succ(succ(succ(succ(n0)))) = n4).
% 61.70/9.43 fof(successor_5, axiom, succ(succ(succ(succ(succ(n0))))) = n5).
% 61.70/9.43 fof(successor_6, axiom, succ(succ(succ(succ(succ(succ(n0)))))) = n6).
% 61.70/9.43 fof(successor_1, axiom, succ(n0) = n1).
% 61.70/9.43 fof(successor_2, axiom, succ(succ(n0)) = n2).
% 61.70/9.43 fof(successor_3, axiom, succ(succ(succ(n0))) = n3).
% 61.70/9.43 fof(transitivity_leq, axiom, ! [X0] : ! [X1] : ! [X2] : (((leq(X0,X1) & leq(X1,X2)) => leq(X0,X2)))).
% 61.70/9.43 fof(lt_gt, axiom, ! [X0] : ! [X1] : ((lt(X0,X1) <=> gt(X1,X0)))).
% 61.70/9.43 fof(leq_gt2, axiom, ! [X0] : ! [X1] : (((leq(X0,X1) & X0 != X1) => gt(X1,X0)))).
% 61.70/9.43 fof(leq_gt_pred, axiom, ! [X0] : ! [X1] : ((leq(X0,pred(X1)) <=> gt(X1,X0)))).
% 61.70/9.43 fof(succ_plus_1_l, axiom, ! [X0] : plus(n1,X0) = succ(X0)).
% 61.70/9.43 fof(pred_minus_1, axiom, ! [X0] : minus(X0,n1) = pred(X0)).
% 61.70/9.43 fof(pred_succ, axiom, ! [X0] : pred(succ(X0)) = X0).
% 61.70/9.43 fof(succ_pred, axiom, ! [X0] : succ(pred(X0)) = X0).
% 61.70/9.43 fof(quaternion_ds1_symm_0004, conjecture, ((leq(n0,pv5) & (leq(n0,pv57) & (leq(pv5,minus(n999,n1)) & (leq(pv57,minus(n6,n1)) & (! [X0] : ! [X1] : (((leq(n0,X0) & (leq(n0,X1) & (leq(X0,minus(n6,n1)) & leq(X1,minus(n6,n1))))) => 'a$uselect3'('q$uds1$ufilter',X0,X1) = 'a$uselect3'('q$uds1$ufilter',X1,X0))) & (! [X2] : ! [X3] : (((leq(n0,X2) & (leq(n0,X3) & (leq(X2,minus(n3,n1)) & leq(X3,minus(n3,n1))))) => 'a$uselect3'('r$uds1$ufilter',X2,X3) = 'a$uselect3'('r$uds1$ufilter',X3,X2))) & (! [X4] : ! [X5] : (((leq(n0,X4) & (leq(n0,X5) & (leq(X4,minus(n6,n1)) & leq(X5,minus(n6,n1))))) => 'a$uselect3'('pminus$uds1$ufilter',X4,X5) = 'a$uselect3'('pminus$uds1$ufilter',X5,X4))) & (! [X6] : ! [X7] : (((leq(n0,X6) & (leq(n0,X7) & (leq(X6,minus(n6,n1)) & leq(X7,minus(n6,n1))))) => (((lt(X7,plus(n1,minus(n6,n1))) & X6 = pv57) => 'a$uselect3'('id$uds1$ufilter',X6,X7) = 'a$uselect3'('id$uds1$ufilter',X7,X6)) & (lt(X6,pv57) => 'a$uselect3'('id$uds1$ufilter',X6,X7) = 'a$uselect3'('id$uds1$ufilter',X7,X6))))) & ! [X8] : (((leq(n0,X8) & leq(X8,minus(pv57,n1))) => ! [X9] : (((leq(n0,X9) & leq(X9,minus(n6,n1))) => 'a$uselect3'('id$uds1$ufilter',X8,X9) = 'a$uselect3'('id$uds1$ufilter',X9,X8))))))))))))) => (leq(n0,pv5) & (leq(n0,pv57) & (leq(pv5,minus(n999,n1)) & (leq(pv57,minus(n6,n1)) & (! [X10] : ! [X11] : (((leq(n0,X10) & (leq(n0,X11) & (leq(X10,minus(n6,n1)) & leq(X11,minus(n6,n1))))) => 'a$uselect3'('q$uds1$ufilter',X10,X11) = 'a$uselect3'('q$uds1$ufilter',X11,X10))) & (! [X12] : ! [X13] : (((leq(n0,X12) & (leq(n0,X13) & (leq(X12,minus(n3,n1)) & leq(X13,minus(n3,n1))))) => 'a$uselect3'('r$uds1$ufilter',X12,X13) = 'a$uselect3'('r$uds1$ufilter',X13,X12))) & (! [X14] : ! [X15] : (((leq(n0,X14) & (leq(n0,X15) & (leq(X14,minus(n6,n1)) & leq(X15,minus(n6,n1))))) => 'a$uselect3'('pminus$uds1$ufilter',X14,X15) = 'a$uselect3'('pminus$uds1$ufilter',X15,X14))) & (! [X16] : ! [X17] : (((leq(n0,X16) & (leq(n0,X17) & (leq(X16,pv57) & leq(X17,minus(n6,n1))))) => 'a$uselect3'('id$uds1$ufilter',X16,X17) = 'a$uselect3'('id$uds1$ufilter',X17,X16))) & ! [X18] : (((leq(n0,X18) & leq(X18,minus(pv57,n1))) => ! [X19] : (((leq(n0,X19) & leq(X19,minus(n6,n1))) => 'a$uselect3'('id$uds1$ufilter',X18,X19) = 'a$uselect3'('id$uds1$ufilter',X19,X18))))))))))))))).
% 61.70/9.43 fof(negated_conjecture, negated_conjecture, ~(((leq(n0,pv5) & (leq(n0,pv57) & (leq(pv5,minus(n999,n1)) & (leq(pv57,minus(n6,n1)) & (! [X0] : ! [X1] : (((leq(n0,X0) & (leq(n0,X1) & (leq(X0,minus(n6,n1)) & leq(X1,minus(n6,n1))))) => 'a$uselect3'('q$uds1$ufilter',X0,X1) = 'a$uselect3'('q$uds1$ufilter',X1,X0))) & (! [X2] : ! [X3] : (((leq(n0,X2) & (leq(n0,X3) & (leq(X2,minus(n3,n1)) & leq(X3,minus(n3,n1))))) => 'a$uselect3'('r$uds1$ufilter',X2,X3) = 'a$uselect3'('r$uds1$ufilter',X3,X2))) & (! [X4] : ! [X5] : (((leq(n0,X4) & (leq(n0,X5) & (leq(X4,minus(n6,n1)) & leq(X5,minus(n6,n1))))) => 'a$uselect3'('pminus$uds1$ufilter',X4,X5) = 'a$uselect3'('pminus$uds1$ufilter',X5,X4))) & (! [X6] : ! [X7] : (((leq(n0,X6) & (leq(n0,X7) & (leq(X6,minus(n6,n1)) & leq(X7,minus(n6,n1))))) => (((lt(X7,plus(n1,minus(n6,n1))) & X6 = pv57) => 'a$uselect3'('id$uds1$ufilter',X6,X7) = 'a$uselect3'('id$uds1$ufilter',X7,X6)) & (lt(X6,pv57) => 'a$uselect3'('id$uds1$ufilter',X6,X7) = 'a$uselect3'('id$uds1$ufilter',X7,X6))))) & ! [X8] : (((leq(n0,X8) & leq(X8,minus(pv57,n1))) => ! [X9] : (((leq(n0,X9) & leq(X9,minus(n6,n1))) => 'a$uselect3'('id$uds1$ufilter',X8,X9) = 'a$uselect3'('id$uds1$ufilter',X9,X8))))))))))))) => (leq(n0,pv5) & (leq(n0,pv57) & (leq(pv5,minus(n999,n1)) & (leq(pv57,minus(n6,n1)) & (! [X10] : ! [X11] : (((leq(n0,X10) & (leq(n0,X11) & (leq(X10,minus(n6,n1)) & leq(X11,minus(n6,n1))))) => 'a$uselect3'('q$uds1$ufilter',X10,X11) = 'a$uselect3'('q$uds1$ufilter',X11,X10))) & (! [X12] : ! [X13] : (((leq(n0,X12) & (leq(n0,X13) & (leq(X12,minus(n3,n1)) & leq(X13,minus(n3,n1))))) => 'a$uselect3'('r$uds1$ufilter',X12,X13) = 'a$uselect3'('r$uds1$ufilter',X13,X12))) & (! [X14] : ! [X15] : (((leq(n0,X14) & (leq(n0,X15) & (leq(X14,minus(n6,n1)) & leq(X15,minus(n6,n1))))) => 'a$uselect3'('pminus$uds1$ufilter',X14,X15) = 'a$uselect3'('pminus$uds1$ufilter',X15,X14))) & (! [X16] : ! [X17] : (((leq(n0,X16) & (leq(n0,X17) & (leq(X16,pv57) & leq(X17,minus(n6,n1))))) => 'a$uselect3'('id$uds1$ufilter',X16,X17) = 'a$uselect3'('id$uds1$ufilter',X17,X16))) & ! [X18] : (((leq(n0,X18) & leq(X18,minus(pv57,n1))) => ! [X19] : (((leq(n0,X19) & leq(X19,minus(n6,n1))) => 'a$uselect3'('id$uds1$ufilter',X18,X19) = 'a$uselect3'('id$uds1$ufilter',X19,X18))))))))))))))), inference(negate_conjecture, [status(cth)], [quaternion_ds1_symm_0004])).
% 61.70/9.43 cnf(c43, plain, succ(succ(succ(succ(n0)))) = n4, inference(clausification, [status(esa)], [successor_4])).
% 61.70/9.43 cnf(c44, plain, succ(succ(succ(succ(succ(n0))))) = n5, inference(clausification, [status(esa)], [successor_5])).
% 61.70/9.43 cnf(c45, plain, succ(succ(succ(succ(succ(succ(n0)))))) = n6, inference(clausification, [status(esa)], [successor_6])).
% 61.70/9.43 cnf(c46, plain, succ(n0) = n1, inference(clausification, [status(esa)], [successor_1])).
% 61.70/9.43 cnf(c47, plain, succ(succ(n0)) = n2, inference(clausification, [status(esa)], [successor_2])).
% 61.70/9.43 cnf(c48, plain, succ(succ(succ(n0))) = n3, inference(clausification, [status(esa)], [successor_3])).
% 61.70/9.43 cnf(c53, plain, ~leq(X0,X1) | ~leq(X1,X2) | leq(X0,X2), inference(clausification, [status(esa)], [transitivity_leq])).
% 61.70/9.43 cnf(c55, plain, lt(X0,X1) | ~gt(X1,X0), inference(clausification, [status(esa)], [lt_gt])).
% 61.70/9.43 cnf(c59, plain, ~leq(X0,X1) | X0 = X1 | gt(X1,X0), inference(clausification, [status(esa)], [leq_gt2])).
% 61.70/9.43 cnf(c60, plain, ~leq(X0,pred(X1)) | gt(X1,X0), inference(clausification, [status(esa)], [leq_gt_pred])).
% 61.70/9.43 cnf(c142, plain, plus(n1,X0) = succ(X0), inference(clausification, [status(esa)], [succ_plus_1_l])).
% 61.70/9.43 cnf(c151, plain, minus(X0,n1) = pred(X0), inference(clausification, [status(esa)], [pred_minus_1])).
% 61.70/9.43 cnf(c152, plain, pred(succ(X0)) = X0, inference(clausification, [status(esa)], [pred_succ])).
% 61.70/9.43 cnf(c153, plain, succ(pred(X0)) = X0, inference(clausification, [status(esa)], [succ_pred])).
% 61.70/9.43 cnf(c173, plain, leq(n0,pv5), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c174, plain, leq(n0,pv57), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c175, plain, leq(pv5,minus(n999,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c176, plain, leq(pv57,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c177, plain, ~leq(X0,minus(n6,n1)) | ~leq(n0,X0) | ~leq(X1,minus(n6,n1)) | 'a$uselect3'('q$uds1$ufilter',X0,X1) = 'a$uselect3'('q$uds1$ufilter',X1,X0) | ~leq(n0,X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c178, plain, ~leq(X0,minus(n3,n1)) | 'a$uselect3'('r$uds1$ufilter',X1,X0) = 'a$uselect3'('r$uds1$ufilter',X0,X1) | ~leq(n0,X0) | ~leq(X1,minus(n3,n1)) | ~leq(n0,X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c179, plain, ~leq(n0,X0) | ~leq(X1,minus(n6,n1)) | ~leq(X0,minus(n6,n1)) | ~leq(n0,X1) | 'a$uselect3'('pminus$uds1$ufilter',X0,X1) = 'a$uselect3'('pminus$uds1$ufilter',X1,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c180, plain, ~leq(X0,minus(n6,n1)) | ~lt(X1,plus(n1,minus(n6,n1))) | ~leq(n0,X1) | X0 != pv57 | 'a$uselect3'('id$uds1$ufilter',X0,X1) = 'a$uselect3'('id$uds1$ufilter',X1,X0) | ~leq(X1,minus(n6,n1)) | ~leq(n0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c181, plain, ~leq(X0,minus(n6,n1)) | ~leq(n0,X1) | 'a$uselect3'('id$uds1$ufilter',X0,X1) = 'a$uselect3'('id$uds1$ufilter',X1,X0) | ~leq(n0,X0) | ~leq(X1,minus(n6,n1)) | ~lt(X0,pv57), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c182, plain, ~leq(n0,X0) | 'a$uselect3'('id$uds1$ufilter',X1,X0) = 'a$uselect3'('id$uds1$ufilter',X0,X1) | ~leq(X1,minus(pv57,n1)) | ~leq(X0,minus(n6,n1)) | ~leq(n0,X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c183, plain, ~X0 | ~X1 | ~leq(pv57,minus(n6,n1)) | ~X2 | ~leq(pv5,minus(n999,n1)) | ~leq(n0,pv5) | ~X3 | ~leq(n0,pv57) | ~X4, inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c184, plain, X0 | leq(n0,sK197), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c185, plain, X0 | leq(n0,sK198), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c186, plain, X0 | leq(sK197,pv57), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c187, plain, X0 | leq(sK198,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c188, plain, X0 | 'a$uselect3'('id$uds1$ufilter',sK197,sK198) != 'a$uselect3'('id$uds1$ufilter',sK198,sK197), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c189, plain, X0 | leq(n0,sK199), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c190, plain, X0 | leq(sK199,minus(pv57,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c191, plain, X0 | leq(n0,sK200), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c192, plain, X0 | leq(sK200,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c193, plain, X0 | 'a$uselect3'('id$uds1$ufilter',sK199,sK200) != 'a$uselect3'('id$uds1$ufilter',sK200,sK199), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c194, plain, X0 | leq(n0,sK201), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c195, plain, X0 | leq(n0,sK202), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c196, plain, X0 | leq(sK201,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c197, plain, X0 | leq(sK202,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c198, plain, X0 | 'a$uselect3'('pminus$uds1$ufilter',sK201,sK202) != 'a$uselect3'('pminus$uds1$ufilter',sK202,sK201), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c199, plain, X0 | leq(n0,sK203), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c200, plain, X0 | leq(n0,sK204), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c201, plain, X0 | leq(sK203,minus(n3,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c202, plain, X0 | leq(sK204,minus(n3,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c203, plain, X0 | 'a$uselect3'('r$uds1$ufilter',sK203,sK204) != 'a$uselect3'('r$uds1$ufilter',sK204,sK203), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c204, plain, X0 | leq(n0,sK205), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c205, plain, X0 | leq(n0,sK206), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c206, plain, X0 | leq(sK205,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c207, plain, X0 | leq(sK206,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(c208, plain, X0 | 'a$uselect3'('q$uds1$ufilter',sK205,sK206) != 'a$uselect3'('q$uds1$ufilter',sK206,sK205), inference(clausification, [status(esa)], [negated_conjecture])).
% 61.70/9.43 cnf(d0, plain, succ(n1) = n2, inference(demodulation, [status(thm)], [c47,c46])).
% 61.70/9.43 cnf(d1, plain, succ(succ(n1)) = n3, inference(demodulation, [status(thm)], [c48,c46])).
% 61.70/9.43 cnf(d2, plain, succ(n2) = n3, inference(demodulation, [status(thm)], [d1,d0])).
% 61.70/9.43 cnf(d3, plain, succ(succ(succ(n1))) = n4, inference(demodulation, [status(thm)], [c43,c46])).
% 61.70/9.43 cnf(d4, plain, succ(succ(n2)) = n4, inference(demodulation, [status(thm)], [d3,d0])).
% 61.70/9.43 cnf(d5, plain, succ(n3) = n4, inference(demodulation, [status(thm)], [d4,d2])).
% 61.70/9.43 cnf(d6, plain, succ(succ(succ(succ(n1)))) = n5, inference(demodulation, [status(thm)], [c44,c46])).
% 61.70/9.43 cnf(d7, plain, succ(succ(succ(n2))) = n5, inference(demodulation, [status(thm)], [d6,d0])).
% 61.70/9.43 cnf(d8, plain, succ(succ(n3)) = n5, inference(demodulation, [status(thm)], [d7,d2])).
% 61.70/9.43 cnf(d9, plain, succ(n4) = n5, inference(demodulation, [status(thm)], [d8,d5])).
% 61.70/9.43 cnf(d10, plain, succ(succ(succ(succ(succ(n1))))) = n6, inference(demodulation, [status(thm)], [c45,c46])).
% 61.70/9.43 cnf(d11, plain, succ(succ(succ(succ(n2)))) = n6, inference(demodulation, [status(thm)], [d10,d0])).
% 61.70/9.43 cnf(d12, plain, succ(succ(succ(n3))) = n6, inference(demodulation, [status(thm)], [d11,d2])).
% 61.70/9.43 cnf(d13, plain, succ(succ(n4)) = n6, inference(demodulation, [status(thm)], [d12,d5])).
% 61.70/9.43 cnf(d14, plain, succ(n5) = n6, inference(demodulation, [status(thm)], [d13,d9])).
% 61.70/9.43 cnf(d15, plain, pred(n6) = n5, inference(superposition, [status(thm)], [d14,c152])).
% 61.70/9.43 cnf(d16, plain, ~leq(n0,pv57) | ~leq(pv5,minus(n999,n1)) | ~leq(pv57,minus(n6,n1)) | ~'Ts184' | ~'Ts185' | ~'Ts182' | ~'Ts183' | ~'Ts186', inference(resolution, [status(thm)], [c173,c183])).
% 61.70/9.43 cnf(d17, plain, ~leq(pv5,minus(n999,n1)) | ~leq(pv57,minus(n6,n1)) | ~'Ts184' | ~'Ts185' | ~'Ts182' | ~'Ts183' | ~'Ts186', inference(resolution, [status(thm)], [c174,d16])).
% 61.70/9.43 cnf(d18, plain, ~leq(pv57,minus(n6,n1)) | ~'Ts184' | ~'Ts185' | ~'Ts182' | ~'Ts183' | ~'Ts186', inference(resolution, [status(thm)], [c175,d17])).
% 61.70/9.43 cnf(d19, plain, ~'Ts184' | ~'Ts185' | ~'Ts182' | ~'Ts183' | ~'Ts186', inference(resolution, [status(thm)], [c176,d18])).
% 61.70/9.43 cnf(d20, plain, 'a$uselect3'('q$uds1$ufilter',sK205,sK206) != 'a$uselect3'('q$uds1$ufilter',sK205,sK206) | 'Ts186' | ~leq(sK206,minus(n6,n1)) | ~leq(sK205,minus(n6,n1)) | ~leq(n0,sK206) | ~leq(n0,sK205), inference(superposition, [status(thm)], [c177,c208])).
% 61.70/9.43 cnf(d21, plain, ~leq(n0,sK205) | ~leq(n0,sK206) | ~leq(sK205,minus(n6,n1)) | ~leq(sK206,minus(n6,n1)) | 'Ts186', inference(equality_resolution, [status(thm)], [d20])).
% 61.70/9.43 cnf(d22, plain, ~leq(n0,sK205) | ~leq(n0,sK206) | ~leq(sK205,minus(n6,n1)) | 'Ts186' | 'Ts186', inference(resolution, [status(thm)], [d21,c207])).
% 61.70/9.43 cnf(d23, plain, ~leq(n0,sK205) | ~leq(n0,sK206) | 'Ts186' | 'Ts186', inference(resolution, [status(thm)], [d22,c206])).
% 61.70/9.43 cnf(d24, plain, ~leq(n0,sK205) | 'Ts186' | 'Ts186', inference(resolution, [status(thm)], [d23,c205])).
% 61.70/9.43 cnf(d25, plain, 'Ts186' | 'Ts186', inference(resolution, [status(thm)], [d24,c204])).
% 61.70/9.43 cnf(d26, plain, ~'Ts184' | ~'Ts185' | ~'Ts182' | ~'Ts183', inference(resolution, [status(thm)], [d25,d19])).
% 61.70/9.43 cnf(d27, plain, 'a$uselect3'('r$uds1$ufilter',sK203,sK204) != 'a$uselect3'('r$uds1$ufilter',sK203,sK204) | 'Ts185' | ~leq(sK204,minus(n3,n1)) | ~leq(sK203,minus(n3,n1)) | ~leq(n0,sK204) | ~leq(n0,sK203), inference(superposition, [status(thm)], [c178,c203])).
% 61.70/9.43 cnf(d28, plain, ~leq(n0,sK203) | ~leq(n0,sK204) | ~leq(sK203,minus(n3,n1)) | ~leq(sK204,minus(n3,n1)) | 'Ts185', inference(equality_resolution, [status(thm)], [d27])).
% 61.70/9.43 cnf(d29, plain, ~leq(n0,sK203) | ~leq(n0,sK204) | ~leq(sK203,minus(n3,n1)) | 'Ts185' | 'Ts185', inference(resolution, [status(thm)], [d28,c202])).
% 61.70/9.43 cnf(d30, plain, ~leq(n0,sK203) | ~leq(n0,sK204) | 'Ts185' | 'Ts185', inference(resolution, [status(thm)], [d29,c201])).
% 61.70/9.43 cnf(d31, plain, ~leq(n0,sK203) | 'Ts185' | 'Ts185', inference(resolution, [status(thm)], [d30,c200])).
% 61.70/9.43 cnf(d32, plain, 'Ts185' | 'Ts185', inference(resolution, [status(thm)], [d31,c199])).
% 61.70/9.43 cnf(d33, plain, ~'Ts184' | ~'Ts182' | ~'Ts183', inference(resolution, [status(thm)], [d32,d26])).
% 61.70/9.43 cnf(d34, plain, 'a$uselect3'('pminus$uds1$ufilter',sK201,sK202) != 'a$uselect3'('pminus$uds1$ufilter',sK201,sK202) | 'Ts184' | ~leq(sK201,minus(n6,n1)) | ~leq(sK202,minus(n6,n1)) | ~leq(n0,sK201) | ~leq(n0,sK202), inference(superposition, [status(thm)], [c179,c198])).
% 61.70/9.43 cnf(d35, plain, ~leq(n0,sK201) | ~leq(n0,sK202) | ~leq(sK201,minus(n6,n1)) | ~leq(sK202,minus(n6,n1)) | 'Ts184', inference(equality_resolution, [status(thm)], [d34])).
% 61.70/9.43 cnf(d36, plain, ~leq(n0,sK201) | ~leq(n0,sK202) | ~leq(sK201,minus(n6,n1)) | 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d35,c197])).
% 61.70/9.43 cnf(d37, plain, ~leq(n0,sK201) | ~leq(n0,sK202) | 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d36,c196])).
% 61.70/9.43 cnf(d38, plain, ~leq(n0,sK201) | 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d37,c195])).
% 61.70/9.43 cnf(d39, plain, 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d38,c194])).
% 61.70/9.43 cnf(d40, plain, ~'Ts182' | ~'Ts183', inference(resolution, [status(thm)], [d39,d33])).
% 61.70/9.43 cnf(d41, plain, 'a$uselect3'('id$uds1$ufilter',sK199,sK200) != 'a$uselect3'('id$uds1$ufilter',sK199,sK200) | 'Ts183' | ~leq(sK200,minus(n6,n1)) | ~leq(sK199,minus(pv57,n1)) | ~leq(n0,sK200) | ~leq(n0,sK199), inference(superposition, [status(thm)], [c182,c193])).
% 61.70/9.43 cnf(d42, plain, ~leq(n0,sK199) | ~leq(n0,sK200) | ~leq(sK199,minus(pv57,n1)) | ~leq(sK200,minus(n6,n1)) | 'Ts183', inference(equality_resolution, [status(thm)], [d41])).
% 61.70/9.43 cnf(d43, plain, ~leq(n0,sK199) | ~leq(n0,sK200) | ~leq(sK199,minus(pv57,n1)) | 'Ts183' | 'Ts183', inference(resolution, [status(thm)], [d42,c192])).
% 61.70/9.43 cnf(d44, plain, ~leq(n0,sK199) | ~leq(n0,sK200) | 'Ts183' | 'Ts183', inference(resolution, [status(thm)], [d43,c190])).
% 61.70/9.43 cnf(d45, plain, ~leq(n0,sK199) | 'Ts183' | 'Ts183', inference(resolution, [status(thm)], [d44,c191])).
% 61.70/9.43 cnf(d46, plain, 'Ts183' | 'Ts183', inference(resolution, [status(thm)], [d45,c189])).
% 61.70/9.43 cnf(d47, plain, ~'Ts182', inference(resolution, [status(thm)], [d46,d40])).
% 61.70/9.43 cnf(d48, plain, leq(sK197,pv57), inference(resolution, [status(thm)], [d47,c186])).
% 61.70/9.43 cnf(d49, plain, sK197 = pv57 | gt(pv57,sK197), inference(resolution, [status(thm)], [c59,d48])).
% 61.70/9.43 cnf(d50, plain, sK197 = pv57 | lt(sK197,pv57), inference(resolution, [status(thm)], [d49,c55])).
% 61.70/9.43 cnf(d51, plain, 'a$uselect3'('id$uds1$ufilter',sK197,sK198) != 'a$uselect3'('id$uds1$ufilter',sK198,sK197), inference(resolution, [status(thm)], [d47,c188])).
% 61.70/9.43 cnf(d52, plain, 'a$uselect3'('id$uds1$ufilter',sK197,sK198) != 'a$uselect3'('id$uds1$ufilter',sK197,sK198) | ~leq(sK197,minus(n6,n1)) | ~leq(sK198,minus(n6,n1)) | ~leq(n0,sK197) | ~leq(n0,sK198) | ~lt(sK197,pv57), inference(superposition, [status(thm)], [c181,d51])).
% 61.70/9.43 cnf(d53, plain, leq(n0,sK197), inference(resolution, [status(thm)], [d47,c184])).
% 61.70/9.43 cnf(d54, plain, 'a$uselect3'('id$uds1$ufilter',sK197,sK198) != 'a$uselect3'('id$uds1$ufilter',sK197,sK198) | ~leq(n0,sK198) | ~leq(sK197,minus(n6,n1)) | ~leq(sK198,minus(n6,n1)) | ~lt(sK197,pv57), inference(resolution, [status(thm)], [d53,d52])).
% 61.70/9.43 cnf(d55, plain, leq(n0,sK198), inference(resolution, [status(thm)], [d47,c185])).
% 61.70/9.43 cnf(d56, plain, 'a$uselect3'('id$uds1$ufilter',sK197,sK198) != 'a$uselect3'('id$uds1$ufilter',sK197,sK198) | ~leq(sK197,minus(n6,n1)) | ~leq(sK198,minus(n6,n1)) | ~lt(sK197,pv57), inference(resolution, [status(thm)], [d55,d54])).
% 61.70/9.43 cnf(d57, plain, leq(sK198,minus(n6,n1)), inference(resolution, [status(thm)], [d47,c187])).
% 61.70/9.43 cnf(d58, plain, 'a$uselect3'('id$uds1$ufilter',sK197,sK198) != 'a$uselect3'('id$uds1$ufilter',sK197,sK198) | ~leq(sK197,minus(n6,n1)) | ~lt(sK197,pv57), inference(resolution, [status(thm)], [d57,d56])).
% 61.70/9.43 cnf(d59, plain, ~leq(sK197,minus(n6,n1)) | ~lt(sK197,pv57), inference(equality_resolution, [status(thm)], [d58])).
% 61.70/9.43 cnf(d60, plain, leq(X0,minus(n6,n1)) | ~leq(X0,pv57), inference(resolution, [status(thm)], [c53,c176])).
% 61.70/9.43 cnf(d61, plain, ~leq(sK197,pv57) | ~lt(sK197,pv57), inference(resolution, [status(thm)], [d60,d59])).
% 61.70/9.43 cnf(d62, plain, ~lt(sK197,pv57), inference(resolution, [status(thm)], [d48,d61])).
% 61.70/9.43 cnf(d63, plain, sK197 = pv57, inference(resolution, [status(thm)], [d62,d50])).
% 61.70/9.43 cnf(d64, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',sK198,sK197), inference(demodulation, [status(thm)], [d51,d63])).
% 61.70/9.43 cnf(d65, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',sK198,pv57), inference(demodulation, [status(thm)], [d64,d63])).
% 61.70/9.43 cnf(d66, plain, 'a$uselect3'('id$uds1$ufilter',pv57,X0) = 'a$uselect3'('id$uds1$ufilter',X0,pv57) | ~leq(pv57,minus(n6,n1)) | ~leq(X0,minus(n6,n1)) | ~leq(n0,pv57) | ~leq(n0,X0) | ~lt(X0,plus(n1,minus(n6,n1))), inference(equality_resolution, [status(thm)], [c180])).
% 61.70/9.43 cnf(d67, plain, 'a$uselect3'('id$uds1$ufilter',pv57,X0) = 'a$uselect3'('id$uds1$ufilter',X0,pv57) | ~leq(X0,minus(n6,n1)) | ~leq(n0,X0) | ~leq(pv57,minus(n6,n1)) | ~lt(X0,plus(n1,minus(n6,n1))), inference(resolution, [status(thm)], [c174,d66])).
% 61.70/9.43 cnf(d68, plain, 'a$uselect3'('id$uds1$ufilter',pv57,X0) = 'a$uselect3'('id$uds1$ufilter',X0,pv57) | ~leq(X0,minus(n6,n1)) | ~leq(n0,X0) | ~lt(X0,plus(n1,minus(n6,n1))), inference(resolution, [status(thm)], [c176,d67])).
% 61.70/9.43 cnf(d69, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',pv57,sK198) | ~leq(sK198,minus(n6,n1)) | ~leq(n0,sK198) | ~lt(sK198,plus(n1,minus(n6,n1))), inference(superposition, [status(thm)], [d68,d65])).
% 61.70/9.43 cnf(d70, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',pv57,sK198) | ~leq(n0,sK198) | ~leq(sK198,pred(n6)) | ~lt(sK198,plus(n1,minus(n6,n1))), inference(demodulation, [status(thm)], [d69,c151])).
% 61.70/9.43 cnf(d71, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',pv57,sK198) | ~leq(n0,sK198) | ~leq(sK198,n5) | ~lt(sK198,plus(n1,minus(n6,n1))), inference(demodulation, [status(thm)], [d70,d15])).
% 61.70/9.43 cnf(d72, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',pv57,sK198) | ~leq(n0,sK198) | ~leq(sK198,n5) | ~lt(sK198,succ(minus(n6,n1))), inference(demodulation, [status(thm)], [d71,c142])).
% 61.70/9.43 cnf(d73, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',pv57,sK198) | ~leq(n0,sK198) | ~leq(sK198,n5) | ~lt(sK198,succ(pred(n6))), inference(demodulation, [status(thm)], [d72,c151])).
% 61.70/9.43 cnf(d74, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',pv57,sK198) | ~leq(n0,sK198) | ~leq(sK198,n5) | ~lt(sK198,n6), inference(demodulation, [status(thm)], [d73,c153])).
% 61.70/9.43 cnf(d75, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',pv57,sK198) | ~leq(sK198,n5) | ~lt(sK198,n6), inference(resolution, [status(thm)], [d55,d74])).
% 61.70/9.43 cnf(d76, plain, leq(sK198,pred(n6)), inference(demodulation, [status(thm)], [d57,c151])).
% 61.70/9.43 cnf(d77, plain, gt(n6,sK198), inference(resolution, [status(thm)], [d76,c60])).
% 61.70/9.43 cnf(d78, plain, lt(sK198,n6), inference(resolution, [status(thm)], [d77,c55])).
% 61.70/9.43 cnf(d79, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',pv57,sK198) | ~leq(sK198,n5), inference(resolution, [status(thm)], [d78,d75])).
% 61.70/9.43 cnf(d80, plain, leq(sK198,n5), inference(demodulation, [status(thm)], [d76,d15])).
% 61.70/9.43 cnf(d81, plain, 'a$uselect3'('id$uds1$ufilter',pv57,sK198) != 'a$uselect3'('id$uds1$ufilter',pv57,sK198), inference(resolution, [status(thm)], [d80,d79])).
% 61.70/9.43 cnf(d82, plain, $false, inference(equality_resolution, [status(thm)], [d81])).
% 61.70/9.43 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------