%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV112+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 : n020.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 09:01:27 AM UTC 2026
% Result : Theorem 43.46s 8.52s
% Output : CNFRefutation 43.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV112+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
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 13:14:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.46/8.52 % SZS status Theorem for theBenchmark.p
% 43.46/8.52 % SZS output start CNFRefutation for theBenchmark.p
% 43.46/8.52 fof(succ_plus_1_l, axiom, ! [X0] : plus(n1,X0) = succ(X0)).
% 43.46/8.52 fof(pred_minus_1, axiom, ! [X0] : minus(X0,n1) = pred(X0)).
% 43.46/8.52 fof(pred_succ, axiom, ! [X0] : pred(succ(X0)) = X0).
% 43.46/8.52 fof(quaternion_ds1_symm_0005, 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,pv57) & leq(X7,minus(n6,n1))))) => '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(pv5,minus(n999,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] : (((leq(n0,X16) & leq(X16,minus(plus(n1,pv57),n1))) => ! [X17] : (((leq(n0,X17) & leq(X17,minus(n6,n1))) => 'a$uselect3'('id$uds1$ufilter',X16,X17) = 'a$uselect3'('id$uds1$ufilter',X17,X16)))))))))))).
% 43.46/8.52 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,pv57) & leq(X7,minus(n6,n1))))) => '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(pv5,minus(n999,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] : (((leq(n0,X16) & leq(X16,minus(plus(n1,pv57),n1))) => ! [X17] : (((leq(n0,X17) & leq(X17,minus(n6,n1))) => 'a$uselect3'('id$uds1$ufilter',X16,X17) = 'a$uselect3'('id$uds1$ufilter',X17,X16)))))))))))), inference(negate_conjecture, [status(cth)], [quaternion_ds1_symm_0005])).
% 43.46/8.52 cnf(c142, plain, plus(n1,X0) = succ(X0), inference(clausification, [status(esa)], [succ_plus_1_l])).
% 43.46/8.52 cnf(c151, plain, minus(X0,n1) = pred(X0), inference(clausification, [status(esa)], [pred_minus_1])).
% 43.46/8.52 cnf(c152, plain, pred(succ(X0)) = X0, inference(clausification, [status(esa)], [pred_succ])).
% 43.46/8.52 cnf(c173, plain, leq(n0,pv5), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c175, plain, leq(pv5,minus(n999,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c177, plain, ~leq(X0,minus(n6,n1)) | ~leq(n0,X0) | ~leq(n0,X1) | ~leq(X1,minus(n6,n1)) | 'a$uselect3'('q$uds1$ufilter',X1,X0) = 'a$uselect3'('q$uds1$ufilter',X0,X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c178, plain, ~leq(X0,minus(n3,n1)) | 'a$uselect3'('r$uds1$ufilter',X0,X1) = 'a$uselect3'('r$uds1$ufilter',X1,X0) | ~leq(n0,X1) | ~leq(X1,minus(n3,n1)) | ~leq(n0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c179, plain, ~leq(n0,X0) | ~leq(n0,X1) | ~leq(X1,minus(n6,n1)) | ~leq(X0,minus(n6,n1)) | 'a$uselect3'('pminus$uds1$ufilter',X1,X0) = 'a$uselect3'('pminus$uds1$ufilter',X0,X1), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c180, plain, ~leq(X0,minus(n6,n1)) | ~leq(X1,pv57) | ~leq(n0,X1) | 'a$uselect3'('id$uds1$ufilter',X1,X0) = 'a$uselect3'('id$uds1$ufilter',X0,X1) | ~leq(n0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c182, plain, ~X0 | ~X1 | ~X2 | ~leq(pv5,minus(n999,n1)) | ~leq(n0,pv5) | ~X3, inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c183, plain, X0 | leq(n0,sK196), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c184, plain, X0 | leq(n0,sK197), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c185, plain, X0 | leq(sK196,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c186, plain, X0 | leq(sK197,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c187, plain, X0 | 'a$uselect3'('pminus$uds1$ufilter',sK196,sK197) != 'a$uselect3'('pminus$uds1$ufilter',sK197,sK196), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c188, plain, X0 | leq(n0,sK198), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c189, plain, X0 | leq(sK198,minus(plus(n1,pv57),n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c190, plain, X0 | leq(n0,sK199), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c191, plain, X0 | leq(sK199,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c192, plain, X0 | 'a$uselect3'('id$uds1$ufilter',sK198,sK199) != 'a$uselect3'('id$uds1$ufilter',sK199,sK198), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c193, plain, X0 | leq(n0,sK200), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c194, plain, X0 | leq(n0,sK201), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c195, plain, X0 | leq(sK200,minus(n3,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c196, plain, X0 | leq(sK201,minus(n3,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c197, plain, X0 | 'a$uselect3'('r$uds1$ufilter',sK200,sK201) != 'a$uselect3'('r$uds1$ufilter',sK201,sK200), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c198, plain, X0 | leq(n0,sK202), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c199, plain, X0 | leq(n0,sK203), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c200, plain, X0 | leq(sK202,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c201, plain, X0 | leq(sK203,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(c202, plain, X0 | 'a$uselect3'('q$uds1$ufilter',sK202,sK203) != 'a$uselect3'('q$uds1$ufilter',sK203,sK202), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.46/8.52 cnf(d0, plain, ~leq(pv5,minus(n999,n1)) | ~'Ts184' | ~'Ts185' | ~'Ts182' | ~'Ts183', inference(resolution, [status(thm)], [c173,c182])).
% 43.46/8.52 cnf(d1, plain, ~'Ts184' | ~'Ts185' | ~'Ts182' | ~'Ts183', inference(resolution, [status(thm)], [c175,d0])).
% 43.46/8.52 cnf(d2, plain, 'a$uselect3'('q$uds1$ufilter',sK202,sK203) != 'a$uselect3'('q$uds1$ufilter',sK202,sK203) | 'Ts185' | ~leq(sK203,minus(n6,n1)) | ~leq(sK202,minus(n6,n1)) | ~leq(n0,sK203) | ~leq(n0,sK202), inference(superposition, [status(thm)], [c177,c202])).
% 43.46/8.52 cnf(d3, plain, ~leq(n0,sK202) | ~leq(n0,sK203) | ~leq(sK202,minus(n6,n1)) | ~leq(sK203,minus(n6,n1)) | 'Ts185', inference(equality_resolution, [status(thm)], [d2])).
% 43.46/8.52 cnf(d4, plain, ~leq(n0,sK202) | ~leq(n0,sK203) | ~leq(sK202,minus(n6,n1)) | 'Ts185' | 'Ts185', inference(resolution, [status(thm)], [d3,c201])).
% 43.46/8.52 cnf(d5, plain, ~leq(n0,sK202) | ~leq(n0,sK203) | 'Ts185' | 'Ts185', inference(resolution, [status(thm)], [d4,c200])).
% 43.46/8.52 cnf(d6, plain, ~leq(n0,sK202) | 'Ts185' | 'Ts185', inference(resolution, [status(thm)], [d5,c199])).
% 43.46/8.52 cnf(d7, plain, 'Ts185' | 'Ts185', inference(resolution, [status(thm)], [d6,c198])).
% 43.46/8.52 cnf(d8, plain, ~'Ts184' | ~'Ts182' | ~'Ts183', inference(resolution, [status(thm)], [d7,d1])).
% 43.46/8.52 cnf(d9, plain, 'a$uselect3'('r$uds1$ufilter',sK200,sK201) != 'a$uselect3'('r$uds1$ufilter',sK200,sK201) | 'Ts184' | ~leq(sK200,minus(n3,n1)) | ~leq(sK201,minus(n3,n1)) | ~leq(n0,sK200) | ~leq(n0,sK201), inference(superposition, [status(thm)], [c178,c197])).
% 43.46/8.52 cnf(d10, plain, ~leq(n0,sK200) | ~leq(n0,sK201) | ~leq(sK200,minus(n3,n1)) | ~leq(sK201,minus(n3,n1)) | 'Ts184', inference(equality_resolution, [status(thm)], [d9])).
% 43.46/8.52 cnf(d11, plain, ~leq(n0,sK200) | ~leq(n0,sK201) | ~leq(sK200,minus(n3,n1)) | 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d10,c196])).
% 43.46/8.52 cnf(d12, plain, ~leq(n0,sK200) | ~leq(n0,sK201) | 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d11,c195])).
% 43.46/8.52 cnf(d13, plain, ~leq(n0,sK200) | 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d12,c194])).
% 43.46/8.52 cnf(d14, plain, 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d13,c193])).
% 43.46/8.52 cnf(d15, plain, ~'Ts182' | ~'Ts183', inference(resolution, [status(thm)], [d14,d8])).
% 43.46/8.52 cnf(d16, plain, 'a$uselect3'('pminus$uds1$ufilter',sK196,sK197) != 'a$uselect3'('pminus$uds1$ufilter',sK196,sK197) | 'Ts182' | ~leq(sK197,minus(n6,n1)) | ~leq(sK196,minus(n6,n1)) | ~leq(n0,sK197) | ~leq(n0,sK196), inference(superposition, [status(thm)], [c179,c187])).
% 43.46/8.52 cnf(d17, plain, ~leq(n0,sK196) | ~leq(n0,sK197) | ~leq(sK196,minus(n6,n1)) | ~leq(sK197,minus(n6,n1)) | 'Ts182', inference(equality_resolution, [status(thm)], [d16])).
% 43.46/8.52 cnf(d18, plain, ~leq(n0,sK196) | ~leq(n0,sK197) | ~leq(sK196,minus(n6,n1)) | 'Ts182' | 'Ts182', inference(resolution, [status(thm)], [d17,c186])).
% 43.46/8.52 cnf(d19, plain, ~leq(n0,sK196) | ~leq(n0,sK197) | 'Ts182' | 'Ts182', inference(resolution, [status(thm)], [d18,c185])).
% 43.46/8.52 cnf(d20, plain, ~leq(n0,sK196) | 'Ts182' | 'Ts182', inference(resolution, [status(thm)], [d19,c184])).
% 43.46/8.52 cnf(d21, plain, 'Ts182' | 'Ts182', inference(resolution, [status(thm)], [d20,c183])).
% 43.46/8.52 cnf(d22, plain, ~'Ts183', inference(resolution, [status(thm)], [d21,d15])).
% 43.46/8.52 cnf(d23, plain, leq(sK198,minus(plus(n1,pv57),n1)), inference(resolution, [status(thm)], [d22,c189])).
% 43.46/8.52 cnf(d24, plain, leq(sK198,minus(succ(pv57),n1)), inference(demodulation, [status(thm)], [d23,c142])).
% 43.46/8.52 cnf(d25, plain, leq(sK198,pred(succ(pv57))), inference(demodulation, [status(thm)], [d24,c151])).
% 43.46/8.52 cnf(d26, plain, leq(sK198,pv57), inference(demodulation, [status(thm)], [d25,c152])).
% 43.46/8.52 cnf(d27, plain, 'a$uselect3'('id$uds1$ufilter',sK198,sK199) != 'a$uselect3'('id$uds1$ufilter',sK198,sK199) | 'Ts183' | ~leq(sK198,pv57) | ~leq(sK199,minus(n6,n1)) | ~leq(n0,sK198) | ~leq(n0,sK199), inference(superposition, [status(thm)], [c180,c192])).
% 43.46/8.52 cnf(d28, plain, ~leq(n0,sK198) | ~leq(n0,sK199) | ~leq(sK198,pv57) | ~leq(sK199,minus(n6,n1)) | 'Ts183', inference(equality_resolution, [status(thm)], [d27])).
% 43.46/8.52 cnf(d29, plain, ~leq(n0,sK198) | ~leq(n0,sK199) | ~leq(sK198,pv57) | 'Ts183' | 'Ts183', inference(resolution, [status(thm)], [d28,c191])).
% 43.46/8.52 cnf(d30, plain, ~leq(n0,sK198) | ~leq(n0,sK199) | ~leq(sK198,pv57), inference(resolution, [status(thm)], [d22,d29])).
% 43.46/8.52 cnf(d31, plain, leq(n0,sK198), inference(resolution, [status(thm)], [d22,c188])).
% 43.46/8.52 cnf(d32, plain, ~leq(n0,sK199) | ~leq(sK198,pv57), inference(resolution, [status(thm)], [d31,d30])).
% 43.46/8.52 cnf(d33, plain, leq(n0,sK199), inference(resolution, [status(thm)], [d22,c190])).
% 43.46/8.52 cnf(d34, plain, ~leq(sK198,pv57), inference(resolution, [status(thm)], [d33,d32])).
% 43.46/8.52 cnf(d35, plain, $false, inference(resolution, [status(thm)], [d34,d26])).
% 43.46/8.52 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------