%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV122+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 : n009.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 09:01:28 AM UTC 2026
% Result : Theorem 41.43s 5.86s
% Output : CNFRefutation 41.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV122+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.41 % Computer : n009.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.41 % WCLimit : 300
% 0.17/0.41 % DateTime : Sat Sep 26 13:14:14 UTC 2026
% 0.17/0.41 % CPUTime :
% 0.17/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.43/5.86 % SZS status Theorem for theBenchmark.p
% 41.43/5.86 % SZS output start CNFRefutation for theBenchmark.p
% 41.43/5.86 fof(quaternion_ds1_symm_0015, conjecture, ((! [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))))) => 'a$uselect3'('q$uds1$ufilter',X6,X7) = 'a$uselect3'('q$uds1$ufilter',X7,X6))) & (! [X8] : ! [X9] : (((leq(n0,X8) & (leq(n0,X9) & (leq(X8,minus(n3,n1)) & leq(X9,minus(n3,n1))))) => 'a$uselect3'('r$uds1$ufilter',X8,X9) = 'a$uselect3'('r$uds1$ufilter',X9,X8))) & ! [X10] : ! [X11] : (((leq(n0,X10) & (leq(n0,X11) & (leq(X10,minus(n6,n1)) & leq(X11,minus(n6,n1))))) => 'a$uselect3'('pminus$uds1$ufilter',X10,X11) = 'a$uselect3'('pminus$uds1$ufilter',X11,X10))))))).
% 41.43/5.86 fof(negated_conjecture, negated_conjecture, ~(((! [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))))) => 'a$uselect3'('q$uds1$ufilter',X6,X7) = 'a$uselect3'('q$uds1$ufilter',X7,X6))) & (! [X8] : ! [X9] : (((leq(n0,X8) & (leq(n0,X9) & (leq(X8,minus(n3,n1)) & leq(X9,minus(n3,n1))))) => 'a$uselect3'('r$uds1$ufilter',X8,X9) = 'a$uselect3'('r$uds1$ufilter',X9,X8))) & ! [X10] : ! [X11] : (((leq(n0,X10) & (leq(n0,X11) & (leq(X10,minus(n6,n1)) & leq(X11,minus(n6,n1))))) => 'a$uselect3'('pminus$uds1$ufilter',X10,X11) = 'a$uselect3'('pminus$uds1$ufilter',X11,X10))))))), inference(negate_conjecture, [status(cth)], [quaternion_ds1_symm_0015])).
% 41.43/5.86 cnf(c165, plain, ~leq(X0,minus(n6,n1)) | ~leq(n0,X0) | 'a$uselect3'('q$uds1$ufilter',X0,X1) = 'a$uselect3'('q$uds1$ufilter',X1,X0) | ~leq(n0,X1) | ~leq(X1,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c166, plain, ~leq(X0,minus(n3,n1)) | ~leq(n0,X1) | 'a$uselect3'('r$uds1$ufilter',X1,X0) = 'a$uselect3'('r$uds1$ufilter',X0,X1) | ~leq(n0,X0) | ~leq(X1,minus(n3,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c167, plain, ~leq(X0,minus(n6,n1)) | 'a$uselect3'('pminus$uds1$ufilter',X0,X1) = 'a$uselect3'('pminus$uds1$ufilter',X1,X0) | ~leq(n0,X1) | ~leq(X1,minus(n6,n1)) | ~leq(n0,X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c168, plain, ~X0 | ~X1 | ~X2, inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c169, plain, X0 | leq(n0,sK191), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c170, plain, X0 | leq(n0,sK192), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c171, plain, X0 | leq(sK191,minus(n3,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c172, plain, X0 | leq(sK192,minus(n3,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c173, plain, X0 | 'a$uselect3'('r$uds1$ufilter',sK191,sK192) != 'a$uselect3'('r$uds1$ufilter',sK192,sK191), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c174, plain, X0 | leq(n0,sK193), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c175, plain, X0 | leq(n0,sK194), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c176, plain, X0 | leq(sK193,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c177, plain, X0 | leq(sK194,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c178, plain, X0 | 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) != 'a$uselect3'('pminus$uds1$ufilter',sK194,sK193), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c179, plain, X0 | leq(n0,sK195), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c180, plain, X0 | leq(n0,sK196), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c181, plain, X0 | leq(sK195,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c182, plain, X0 | leq(sK196,minus(n6,n1)), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(c183, plain, X0 | 'a$uselect3'('q$uds1$ufilter',sK195,sK196) != 'a$uselect3'('q$uds1$ufilter',sK196,sK195), inference(clausification, [status(esa)], [negated_conjecture])).
% 41.43/5.86 cnf(d0, plain, 'a$uselect3'('q$uds1$ufilter',sK195,sK196) != 'a$uselect3'('q$uds1$ufilter',sK195,sK196) | 'Ts184' | ~leq(sK195,minus(n6,n1)) | ~leq(sK196,minus(n6,n1)) | ~leq(n0,sK195) | ~leq(n0,sK196), inference(superposition, [status(thm)], [c165,c183])).
% 41.43/5.86 cnf(d1, plain, ~leq(n0,sK195) | ~leq(n0,sK196) | ~leq(sK195,minus(n6,n1)) | ~leq(sK196,minus(n6,n1)) | 'Ts184', inference(equality_resolution, [status(thm)], [d0])).
% 41.43/5.86 cnf(d2, plain, ~leq(n0,sK195) | ~leq(n0,sK196) | ~leq(sK195,minus(n6,n1)) | 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d1,c182])).
% 41.43/5.86 cnf(d3, plain, ~leq(n0,sK195) | ~leq(n0,sK196) | 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d2,c181])).
% 41.43/5.86 cnf(d4, plain, ~leq(n0,sK195) | 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d3,c180])).
% 41.43/5.86 cnf(d5, plain, 'Ts184' | 'Ts184', inference(resolution, [status(thm)], [d4,c179])).
% 41.43/5.86 cnf(d6, plain, ~'Ts183' | ~'Ts182', inference(resolution, [status(thm)], [d5,c168])).
% 41.43/5.86 cnf(d7, plain, 'a$uselect3'('r$uds1$ufilter',sK191,sK192) != 'a$uselect3'('r$uds1$ufilter',sK191,sK192) | 'Ts182' | ~leq(sK192,minus(n3,n1)) | ~leq(sK191,minus(n3,n1)) | ~leq(n0,sK192) | ~leq(n0,sK191), inference(superposition, [status(thm)], [c166,c173])).
% 41.43/5.86 cnf(d8, plain, ~leq(n0,sK191) | ~leq(n0,sK192) | ~leq(sK191,minus(n3,n1)) | ~leq(sK192,minus(n3,n1)) | 'Ts182', inference(equality_resolution, [status(thm)], [d7])).
% 41.43/5.86 cnf(d9, plain, ~leq(n0,sK191) | ~leq(n0,sK192) | ~leq(sK191,minus(n3,n1)) | 'Ts182' | 'Ts182', inference(resolution, [status(thm)], [d8,c172])).
% 41.43/5.86 cnf(d10, plain, ~leq(n0,sK191) | ~leq(n0,sK192) | 'Ts182' | 'Ts182', inference(resolution, [status(thm)], [d9,c171])).
% 41.43/5.86 cnf(d11, plain, ~leq(n0,sK191) | 'Ts182' | 'Ts182', inference(resolution, [status(thm)], [d10,c170])).
% 41.43/5.86 cnf(d12, plain, 'Ts182' | 'Ts182', inference(resolution, [status(thm)], [d11,c169])).
% 41.43/5.86 cnf(d13, plain, ~'Ts183', inference(resolution, [status(thm)], [d12,d6])).
% 41.43/5.86 cnf(d14, plain, 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) != 'a$uselect3'('pminus$uds1$ufilter',sK194,sK193), inference(resolution, [status(thm)], [d13,c178])).
% 41.43/5.86 cnf(d15, plain, 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) != 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) | ~leq(sK193,minus(n6,n1)) | ~leq(sK194,minus(n6,n1)) | ~leq(n0,sK193) | ~leq(n0,sK194), inference(superposition, [status(thm)], [c167,d14])).
% 41.43/5.86 cnf(d16, plain, leq(n0,sK193), inference(resolution, [status(thm)], [d13,c174])).
% 41.43/5.86 cnf(d17, plain, 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) != 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) | ~leq(n0,sK194) | ~leq(sK193,minus(n6,n1)) | ~leq(sK194,minus(n6,n1)), inference(resolution, [status(thm)], [d16,d15])).
% 41.43/5.86 cnf(d18, plain, leq(n0,sK194), inference(resolution, [status(thm)], [d13,c175])).
% 41.43/5.86 cnf(d19, plain, 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) != 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) | ~leq(sK193,minus(n6,n1)) | ~leq(sK194,minus(n6,n1)), inference(resolution, [status(thm)], [d18,d17])).
% 41.43/5.86 cnf(d20, plain, leq(sK194,minus(n6,n1)), inference(resolution, [status(thm)], [d13,c177])).
% 41.43/5.86 cnf(d21, plain, 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) != 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) | ~leq(sK193,minus(n6,n1)), inference(resolution, [status(thm)], [d20,d19])).
% 41.43/5.86 cnf(d22, plain, leq(sK193,minus(n6,n1)), inference(resolution, [status(thm)], [d13,c176])).
% 41.43/5.86 cnf(d23, plain, 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194) != 'a$uselect3'('pminus$uds1$ufilter',sK193,sK194), inference(resolution, [status(thm)], [d22,d21])).
% 41.43/5.86 cnf(d24, plain, $false, inference(equality_resolution, [status(thm)], [d23])).
% 41.43/5.86 % SZS output end CNFRefutation for theBenchmark.p
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