0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.03/0.23 % Computer : n118.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:09:25 CDT 2018 0.03/0.23 % CPUTime : 0.07/0.27 %----Proving without arithmetic mode 0.07/0.27 ------- cvc4-fof casc j9 : /export/starexec/sandbox/benchmark/theBenchmark.p at ... 0.07/0.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.07/0.30 % SZS status Theorem for theBenchmark 0.07/0.30 % SZS output start Proof for theBenchmark 0.07/0.30 (instantiation (let ((_let_0 (aDimensionOf0 W0))) (forall ((W0 $$unsorted) (BOUND_VARIABLE_830 $$unsorted)) (or (not (aVector0 W0)) (= sz00 _let_0) (= (= (sziznziztdt0 W0) BOUND_VARIABLE_830) (and (aVector0 BOUND_VARIABLE_830) (= _let_0 (szszuzczcdt0 (aDimensionOf0 BOUND_VARIABLE_830))) (forall ((W2 $$unsorted)) (or (not (aNaturalNumber0 W2)) (= (sdtlbdtrb0 W0 W2) (sdtlbdtrb0 BOUND_VARIABLE_830 W2))) )))) )) 0.07/0.30 ( xs, xs ) 0.07/0.30 ( xs, (sziznziztdt0 xs) ) 0.07/0.30 ( (sziznziztdt0 xs), xs ) 0.07/0.30 ( (sziznziztdt0 xs), (sziznziztdt0 xs) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aScalar0 W0)) (not (aScalar0 W1)) (not (sdtlseqdt0 sz0z00 W0)) (not (sdtlseqdt0 sz0z00 W1)) (not (= (sdtasdt0 W0 W0) (sdtasdt0 W1 W1))) (= W0 W1)) ) 0.07/0.30 ( sz0z00, sz0z00 ) 0.07/0.30 ( sz0z00, (sdtasasdt0 xs xs) ) 0.07/0.30 ( (sdtasasdt0 xs xs), sz0z00 ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)), (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)), (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)) ) 0.07/0.30 ( (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)), (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (let ((_let_0 (szszuzczcdt0 W0))) (forall ((W0 $$unsorted)) (or (not (aNaturalNumber0 W0)) (and (aNaturalNumber0 _let_0) (not (= sz00 _let_0)))) )) 0.07/0.30 ( sz00 ) 0.07/0.30 ( (aDimensionOf0 (sziznziztdt0 xs)) ) 0.07/0.30 ( (aDimensionOf0 xs) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aNaturalNumber0 W1)) (not (aNaturalNumber0 W0)) (not (= (szszuzczcdt0 W1) (szszuzczcdt0 W0))) (= W0 W1)) ) 0.07/0.30 ( sz00, sz00 ) 0.07/0.30 ( sz00, (aDimensionOf0 (sziznziztdt0 xs)) ) 0.07/0.30 ( (aDimensionOf0 (sziznziztdt0 xs)), sz00 ) 0.07/0.30 ( (aDimensionOf0 xs), (szszuzczcdt0 (aDimensionOf0 (sziznziztdt0 xs))) ) 0.07/0.30 ( (szszuzczcdt0 (aDimensionOf0 (sziznziztdt0 xs))), (aDimensionOf0 xs) ) 0.07/0.30 ( (szszuzczcdt0 (aDimensionOf0 (sziznziztdt0 xs))), (szszuzczcdt0 (aDimensionOf0 (sziznziztdt0 xs))) ) 0.07/0.30 ) 0.07/0.30 (instantiation (let ((_let_0 (smndt0 (sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aScalar0 W0)) (not (aScalar0 W1)) (and (= _let_0 (sdtasdt0 W0 (smndt0 W1))) (= _let_0 (sdtasdt0 (smndt0 W0) W1)))) )) 0.07/0.30 ( sz0z00, sz0z00 ) 0.07/0.30 ( sz0z00, (smndt0 sz0z00) ) 0.07/0.30 ( (smndt0 sz0z00), sz0z00 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted)) (or (not (aNaturalNumber0 W0)) (= (sdtlbdtrb0 xs W0) (sdtlbdtrb0 (sziznziztdt0 xs) W0))) ) 0.07/0.30 ( sz00 ) 0.07/0.30 ( (aDimensionOf0 (sziznziztdt0 xs)) ) 0.07/0.30 ( (aDimensionOf0 xs) ) 0.07/0.30 ( (szszuzczcdt0 (aDimensionOf0 (sziznziztdt0 xs))) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aScalar0 W1)) (not (aScalar0 W0)) (sdtlseqdt0 W1 W0) (sdtlseqdt0 W0 W1)) ) 0.07/0.30 ( sz0z00, (sdtasasdt0 xs xs) ) 0.07/0.30 ( sz0z00, (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ( sz0z00, (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)) ) 0.07/0.30 ( sz0z00, (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtpldt0 _let_0 _let_0)) ) 0.07/0.30 ( (sdtasasdt0 xs xs), sz0z00 ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)), sz0z00 ) 0.07/0.30 ( (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)), sz0z00 ) 0.07/0.30 ( (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtpldt0 _let_0 _let_0)), sz0z00 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted)) (or (not (aVector0 W0)) (aNaturalNumber0 (aDimensionOf0 W0))) ) 0.07/0.30 ( xs ) 0.07/0.30 ( (sziznziztdt0 xs) ) 0.07/0.30 ( (sziznziztdt0 (sziznziztdt0 xs)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (let ((_let_0 (aDimensionOf0 W0))) (let ((_let_1 (aDimensionOf0 W1))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aVector0 W0)) (not (aVector0 W1)) (= sz00 _let_1) (not (= _let_0 _let_1)) (= (sdtpldt0 (sdtasasdt0 (sziznziztdt0 W0) (sziznziztdt0 W1)) (sdtasdt0 (sdtlbdtrb0 W0 _let_0) (sdtlbdtrb0 W1 _let_1))) (sdtasasdt0 W0 W1))) ))) 0.07/0.30 ( xs, xs ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (aScalar0 W1)) (not (aScalar0 W2)) (not (aScalar0 W3)) (not (aScalar0 W0)) (not (sdtlseqdt0 W2 W3)) (not (sdtlseqdt0 W0 W1)) (sdtlseqdt0 (sdtpldt0 W0 W2) (sdtpldt0 W1 W3))) ) 0.07/0.30 ( (smndt0 sz0z00), (sdtlbdtrb0 xs (aDimensionOf0 xs)), sz0z00, (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ( (smndt0 sz0z00), (let ((_let_0 (sziznziztdt0 xs))) (sdtasasdt0 _let_0 _let_0)), sz0z00, (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (let ((_let_0 (sdtasdt0 W0 W2))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (aScalar0 W0)) (not (aScalar0 W1)) (not (aScalar0 W2)) (and (= (sdtasdt0 W0 (sdtpldt0 W1 W2)) (sdtpldt0 (sdtasdt0 W0 W1) _let_0)) (= (sdtpldt0 _let_0 (sdtasdt0 W1 W2)) (sdtasdt0 (sdtpldt0 W0 W1) W2)))) )) 0.07/0.30 ( sz0z00, sz0z00, sz0z00 ) 0.07/0.30 ( sz0z00, (smndt0 sz0z00), sz0z00 ) 0.07/0.30 ( (smndt0 sz0z00), sz0z00, sz0z00 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aScalar0 W0)) (not (aScalar0 W1)) (not (sdtlseqdt0 sz0z00 W1)) (not (sdtlseqdt0 sz0z00 W0)) (and (sdtlseqdt0 sz0z00 (sdtasdt0 W0 W1)) (sdtlseqdt0 sz0z00 (sdtpldt0 W0 W1)))) ) 0.07/0.30 ( sz0z00, sz0z00 ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)), (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ( (let ((_let_0 (sziznziztdt0 xs))) (sdtasasdt0 _let_0 _let_0)), (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (aScalar0 W1)) (not (aScalar0 W3)) (not (aScalar0 W2)) (not (aScalar0 W0)) (not (sdtlseqdt0 sz0z00 W2)) (not (sdtlseqdt0 W2 W3)) (not (sdtlseqdt0 W0 W1)) (sdtlseqdt0 (sdtasdt0 W0 W2) (sdtasdt0 W1 W3))) ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)), sz0z00, (sdtlbdtrb0 xs (aDimensionOf0 xs)), sz0z00 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted)) (or (not (aVector0 W0)) (not (iLess0 (aDimensionOf0 W0) (aDimensionOf0 xs))) (sdtlseqdt0 sz0z00 (sdtasasdt0 W0 W0))) ) 0.07/0.30 ( xs ) 0.07/0.30 ( (sziznziztdt0 xs) ) 0.07/0.30 ( (sziznziztdt0 (sziznziztdt0 xs)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (let ((_let_0 (aDimensionOf0 W1))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aVector0 W1)) (not (aVector0 W0)) (not (= (aDimensionOf0 W0) _let_0)) (not (= sz00 _let_0)) (= sz0z00 (sdtasasdt0 W0 W1))) )) 0.07/0.30 ( xs, xs ) 0.07/0.30 ( (sziznziztdt0 xs), (sziznziztdt0 xs) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted)) (or (not (aScalar0 W0)) (sdtlseqdt0 sz0z00 (sdtasdt0 W0 W0))) ) 0.07/0.30 ( sz0z00 ) 0.07/0.30 ( (sdtasasdt0 xs xs) ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ( (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted)) (or (not (aNaturalNumber0 W0)) (iLess0 W0 (szszuzczcdt0 W0))) ) 0.07/0.30 ( sz00 ) 0.07/0.30 ( (aDimensionOf0 (sziznziztdt0 xs)) ) 0.07/0.30 ( (aDimensionOf0 xs) ) 0.07/0.30 ( (szszuzczcdt0 (aDimensionOf0 (sziznziztdt0 xs))) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aScalar0 W1)) (not (aScalar0 W0)) (aScalar0 (sdtasdt0 W0 W1))) ) 0.07/0.30 ( sz0z00, sz0z00 ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)), (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aScalar0 W0)) (not (aScalar0 W1)) (not (sdtlseqdt0 W0 W1)) (not (sdtlseqdt0 W1 W0)) (= W0 W1)) ) 0.07/0.30 ( sz0z00, (sdtasasdt0 xs xs) ) 0.07/0.30 ( sz0z00, (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)) ) 0.07/0.30 ( sz0z00, (sdtasdt0 sz0z00 sz0z00) ) 0.07/0.30 ( sz0z00, (let ((_let_0 (sziznziztdt0 xs))) (sdtasasdt0 _let_0 _let_0)) ) 0.07/0.30 ( (sdtasasdt0 xs xs), sz0z00 ) 0.07/0.30 ( (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)), sz0z00 ) 0.07/0.30 ( (sdtasdt0 sz0z00 sz0z00), sz0z00 ) 0.07/0.30 ( (let ((_let_0 (sziznziztdt0 xs))) (sdtasasdt0 _let_0 _let_0)), sz0z00 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (or (not (aScalar0 W1)) (not (aScalar0 W2)) (not (aScalar0 W3)) (not (aScalar0 W0)) (= (sdtasdt0 (sdtpldt0 W0 W1) (sdtpldt0 W2 W3)) (sdtpldt0 (sdtpldt0 (sdtasdt0 W0 W2) (sdtasdt0 W0 W3)) (sdtpldt0 (sdtasdt0 W1 W2) (sdtasdt0 W1 W3))))) ) 0.07/0.30 ( sz0z00, sz0z00, sz0z00, sz0z00 ) 0.07/0.30 ) 0.07/0.30 (instantiation (let ((_let_0 (smndt0 W0))) (forall ((W0 $$unsorted)) (or (not (aScalar0 W0)) (and (= W0 (sdtpldt0 W0 sz0z00)) (= sz0z00 (sdtasdt0 sz0z00 W0)) (= sz0z00 (smndt0 sz0z00)) (= W0 (smndt0 _let_0)) (= sz0z00 (sdtpldt0 _let_0 W0)) (= sz0z00 (sdtpldt0 W0 _let_0)) (= sz0z00 (sdtasdt0 W0 sz0z00)) (= W0 (sdtpldt0 sz0z00 W0)))) )) 0.07/0.30 ( sz0z00 ) 0.07/0.30 ( (sdtasasdt0 xs xs) ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ( (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)) ) 0.07/0.30 ( (smndt0 sz0z00) ) 0.07/0.30 ) 0.07/0.30 (instantiation (let ((_let_0 (sdtpldt0 W0 W1))) (let ((_let_1 (sdtasdt0 W0 W1))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (aScalar0 W0)) (not (aScalar0 W2)) (not (aScalar0 W1)) (and (= (sdtpldt0 W0 (sdtpldt0 W1 W2)) (sdtpldt0 _let_0 W2)) (= _let_0 (sdtpldt0 W1 W0)) (= (sdtasdt0 W0 (sdtasdt0 W1 W2)) (sdtasdt0 _let_1 W2)) (= _let_1 (sdtasdt0 W1 W0)))) ))) 0.07/0.30 ( sz0z00, sz0z00, sz0z00 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted)) (or (not (aScalar0 W0)) (sdtlseqdt0 W0 W0)) ) 0.07/0.30 ( sz0z00 ) 0.07/0.30 ( (sdtasasdt0 xs xs) ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ( (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (let ((_let_0 (aDimensionOf0 W1))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aVector0 W1)) (not (aVector0 W0)) (= sz00 _let_0) (not (= _let_0 (aDimensionOf0 W0))) (= (aDimensionOf0 (sziznziztdt0 W0)) (aDimensionOf0 (sziznziztdt0 W1)))) )) 0.07/0.30 ( xs, xs ) 0.07/0.30 ( xs, (sziznziztdt0 xs) ) 0.07/0.30 ( (sziznziztdt0 xs), xs ) 0.07/0.30 ( (sziznziztdt0 xs), (sziznziztdt0 xs) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted)) (or (not (aScalar0 W0)) (aScalar0 (smndt0 W0))) ) 0.07/0.30 ( sz0z00 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted)) (or (not (aNaturalNumber0 W0)) (= sz00 W0) (not (forall ((W1 $$unsorted)) (or (not (= W0 (szszuzczcdt0 W1))) (not (aNaturalNumber0 W1))) ))) ) 0.07/0.30 ( sz00 ) 0.07/0.30 ( (aDimensionOf0 (sziznziztdt0 xs)) ) 0.07/0.30 ( (szszuzczcdt0 (aDimensionOf0 (sziznziztdt0 xs))) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aVector0 W0)) (not (aVector0 W1)) (not (= (aDimensionOf0 W0) (aDimensionOf0 W1))) (aScalar0 (sdtasasdt0 W0 W1))) ) 0.07/0.30 ( xs, xs ) 0.07/0.30 ( (sziznziztdt0 xs), (sziznziztdt0 xs) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aScalar0 W0)) (not (aScalar0 W1)) (= (sdtasdt0 W0 W1) (sdtasdt0 (smndt0 W0) (smndt0 W1)))) ) 0.07/0.30 ( sz0z00, sz0z00 ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aNaturalNumber0 W1)) (not (aVector0 W0)) (aScalar0 (sdtlbdtrb0 W0 W1))) ) 0.07/0.30 ( xs, sz00 ) 0.07/0.30 ( xs, (aDimensionOf0 xs) ) 0.07/0.30 ( (sziznziztdt0 xs), sz00 ) 0.07/0.30 ( (sziznziztdt0 xs), (aDimensionOf0 xs) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (aScalar0 W0)) (not (aScalar0 W1)) (aScalar0 (sdtpldt0 W0 W1))) ) 0.07/0.30 ( sz0z00, sz0z00 ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)), (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ( (let ((_let_0 (sziznziztdt0 xs))) (sdtasasdt0 _let_0 _let_0)), (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)) ) 0.07/0.30 ) 0.07/0.30 (instantiation (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (aScalar0 W2)) (not (aScalar0 W1)) (not (aScalar0 W0)) (not (sdtlseqdt0 W0 W1)) (not (sdtlseqdt0 W1 W2)) (sdtlseqdt0 W0 W2)) ) 0.07/0.30 ( sz0z00, sz0z00, sz0z00 ) 0.07/0.30 ( sz0z00, (sdtasasdt0 xs xs), (sdtasasdt0 xs xs) ) 0.07/0.30 ( (sdtasasdt0 xs xs), sz0z00, sz0z00 ) 0.07/0.30 ( (sdtlbdtrb0 xs (aDimensionOf0 xs)), (sdtlbdtrb0 xs (aDimensionOf0 xs)), (sdtlbdtrb0 xs (aDimensionOf0 xs)) ) 0.07/0.30 ( (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)), (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)), (let ((_let_0 (sdtlbdtrb0 xs (aDimensionOf0 xs)))) (sdtasdt0 _let_0 _let_0)) ) 0.07/0.30 ) 0.07/0.30 % SZS output end Proof for theBenchmark 0.07/0.31 EOF