%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG074+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:45:35 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG074+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:06:06 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.xN $$unsorted) % 0.37/0.58 (declare-const tptp.xS $$unsorted) % 0.37/0.58 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.sz00 $$unsorted) % 0.37/0.58 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.xp $$unsorted) % 0.37/0.58 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.xG $$unsorted) % 0.37/0.58 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.xF $$unsorted) % 0.37/0.58 (declare-const tptp.sz0z00 $$unsorted) % 0.37/0.58 (declare-const tptp.xC $$unsorted) % 0.37/0.58 (declare-const tptp.xR $$unsorted) % 0.37/0.58 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.xs $$unsorted) % 0.37/0.58 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.xq $$unsorted) % 0.37/0.58 (declare-const tptp.xP $$unsorted) % 0.37/0.58 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.xA $$unsorted) % 0.37/0.58 (declare-const tptp.xB $$unsorted) % 0.37/0.58 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.xt $$unsorted) % 0.37/0.58 (declare-const tptp.xD $$unsorted) % 0.37/0.58 (declare-const tptp.xE $$unsorted) % 0.37/0.58 (declare-const tptp.xH $$unsorted) % 0.37/0.58 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.58 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.37/0.58 (define @t3 () (@list @t1)) % 0.37/0.58 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.37/0.58 (define @t5 () (@var "W1" $$unsorted)) % 0.37/0.58 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.37/0.58 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.37/0.58 (define @t8 () (@list @t5)) % 0.37/0.58 (define @t9 () (= @t1 @t5)) % 0.37/0.58 (define @t10 () (and @t2 @t7)) % 0.37/0.58 (define @t11 () (@list @t1 @t5)) % 0.37/0.58 (define @t12 () (tptp.aScalar0 @t1)) % 0.37/0.58 (define @t13 () (tptp.sdtpldt0 @t1 @t5)) % 0.37/0.58 (define @t14 () (tptp.aScalar0 @t5)) % 0.37/0.58 (define @t15 () (and @t12 @t14)) % 0.37/0.58 (define @t16 () (tptp.sdtasdt0 @t1 @t5)) % 0.37/0.58 (define @t17 () (tptp.smndt0 @t1)) % 0.37/0.58 (define @t18 () (@var "W2" $$unsorted)) % 0.37/0.58 (define @t19 () (tptp.sdtasdt0 @t5 @t18)) % 0.37/0.58 (define @t20 () (tptp.sdtpldt0 @t5 @t18)) % 0.37/0.58 (define @t21 () (tptp.aScalar0 @t18)) % 0.37/0.58 (define @t22 () (and @t12 @t14 @t21)) % 0.37/0.58 (define @t23 () (@list @t1 @t5 @t18)) % 0.37/0.58 (define @t24 () (tptp.sdtasdt0 @t1 @t18)) % 0.37/0.58 (define @t25 () (@var "W3" $$unsorted)) % 0.37/0.58 (define @t26 () (tptp.sdtasdt0 @t5 @t25)) % 0.37/0.58 (define @t27 () (and @t12 @t14 @t21 (tptp.aScalar0 @t25))) % 0.37/0.58 (define @t28 () (@list @t1 @t5 @t18 @t25)) % 0.37/0.58 (define @t29 () (tptp.smndt0 @t16)) % 0.37/0.58 (define @t30 () (tptp.smndt0 @t5)) % 0.37/0.58 (define @t31 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.37/0.58 (define @t32 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.37/0.58 (define @t33 () (tptp.sdtlseqdt0 @t18 @t25)) % 0.37/0.58 (define @t34 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.37/0.58 (define @t35 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.37/0.58 (define @t36 () (tptp.sdtasdt0 @t1 @t1)) % 0.37/0.58 (define @t37 () (tptp.aVector0 @t1)) % 0.37/0.58 (define @t38 () (tptp.aDimensionOf0 @t1)) % 0.37/0.58 (define @t39 () (tptp.aDimensionOf0 @t5)) % 0.37/0.58 (define @t40 () (tptp.aVector0 @t5)) % 0.37/0.58 (define @t41 () (tptp.sziznziztdt0 @t1)) % 0.37/0.58 (define @t42 () (tptp.sziznziztdt0 @t5)) % 0.37/0.58 (define @t43 () (= @t39 tptp.sz00)) % 0.37/0.58 (define @t44 () (= @t38 @t39)) % 0.37/0.58 (define @t45 () (and @t44 (not @t43))) % 0.37/0.58 (define @t46 () (and @t37 @t40)) % 0.37/0.58 (define @t47 () (tptp.sdtasasdt0 @t1 @t5)) % 0.37/0.58 (define @t48 () (tptp.sdtasasdt0 @t1 @t1)) % 0.37/0.58 (define @t49 () (tptp.aDimensionOf0 tptp.xs)) % 0.37/0.58 (define @t50 () (tptp.aDimensionOf0 tptp.xt)) % 0.37/0.58 (define @t51 () (tptp.sdtasdt0 tptp.xP tptp.xP)) % 0.37/0.58 (define @t52 () (tptp.sdtpldt0 tptp.xR tptp.xS)) % 0.37/0.58 (define @t53 () (tptp.sdtasdt0 @t52 @t52)) % 0.37/0.58 (define @t54 () (tptp.sdtpldt0 tptp.xP tptp.xP)) % 0.37/0.58 (define @t55 () (tptp.sdtasdt0 @t54 @t54)) % 0.37/0.58 (define @t56 () (tptp.sdtlseqdt0 @t52 @t54)) % 0.37/0.58 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.58 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.37/0.58 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.37/0.58 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.37/0.58 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.37/0.58 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.37/0.58 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.37/0.58 (assume @p8 (forall @t3 (=> @t12 true))) % 0.37/0.58 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.37/0.58 (assume @p10 (forall @t11 (=> @t15 (tptp.aScalar0 @t13)))) % 0.37/0.58 (assume @p11 (forall @t11 (=> @t15 (tptp.aScalar0 @t16)))) % 0.37/0.58 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t17)))) % 0.37/0.58 (assume @p13 (forall @t3 (=> @t12 (and (= (tptp.sdtpldt0 @t1 tptp.sz0z00) @t1) (= (tptp.sdtpldt0 tptp.sz0z00 @t1) @t1) (= (tptp.sdtasdt0 @t1 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 @t1) tptp.sz0z00) (= (tptp.sdtpldt0 @t1 @t17) tptp.sz0z00) (= (tptp.sdtpldt0 @t17 @t1) tptp.sz0z00) (= (tptp.smndt0 @t17) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 0.37/0.58 (assume @p14 (forall @t23 (=> @t22 (and (= (tptp.sdtpldt0 @t13 @t18) (tptp.sdtpldt0 @t1 @t20)) (= @t13 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t16 @t18) (tptp.sdtasdt0 @t1 @t19)) (= @t16 (tptp.sdtasdt0 @t5 @t1)))))) % 0.37/0.58 (assume @p15 (forall @t23 (=> @t22 (and (= (tptp.sdtasdt0 @t1 @t20) (tptp.sdtpldt0 @t16 @t24)) (= (tptp.sdtasdt0 @t13 @t18) (tptp.sdtpldt0 @t24 @t19)))))) % 0.37/0.58 (assume @p16 (forall @t28 (=> @t27 (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t18 @t25)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t24 (tptp.sdtasdt0 @t1 @t25)) (tptp.sdtpldt0 @t19 @t26)))))) % 0.37/0.58 (assume @p17 (forall @t11 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t30) @t29) (= (tptp.sdtasdt0 @t17 @t5) @t29))))) % 0.37/0.58 (assume @p18 (forall @t11 (=> @t15 (= (tptp.sdtasdt0 @t17 @t30) @t16)))) % 0.37/0.58 (assume @p19 (forall @t11 (=> @t15 (=> @t31 true)))) % 0.37/0.58 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.37/0.58 (assume @p21 (forall @t11 (=> @t15 (=> (and @t31 @t32) @t9)))) % 0.37/0.58 (assume @p22 (forall @t23 (=> @t22 (=> (and @t31 (tptp.sdtlseqdt0 @t5 @t18)) (tptp.sdtlseqdt0 @t1 @t18))))) % 0.37/0.58 (assume @p23 (forall @t28 (=> @t27 (=> (and @t31 @t33) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t18) (tptp.sdtpldt0 @t5 @t25)))))) % 0.37/0.58 (assume @p24 (forall @t28 (=> @t27 (=> (and @t31 (tptp.sdtlseqdt0 tptp.sz0z00 @t18) @t33) (tptp.sdtlseqdt0 @t24 @t26))))) % 0.37/0.58 (assume @p25 (forall @t11 (=> @t15 (or @t31 @t32)))) % 0.37/0.58 (assume @p26 (forall @t11 (=> @t15 (=> (and @t35 @t34) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t16)))))) % 0.37/0.58 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t36)))) % 0.37/0.58 (assume @p28 (forall @t11 (=> @t15 (=> (and @t35 @t34 (= @t36 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.37/0.58 (assume @p29 (forall @t3 (=> @t37 true))) % 0.37/0.58 (assume @p30 (forall @t3 (=> @t37 (tptp.aNaturalNumber0 @t38)))) % 0.37/0.58 (assume @p31 (forall @t11 (=> (and @t37 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.37/0.58 (assume @p32 (forall @t3 (=> @t37 (=> (not (= @t38 tptp.sz00)) (forall @t8 (= (= @t5 @t41) (and @t40 (= (tptp.szszuzczcdt0 @t39) @t38) (forall (@list @t18) (=> (tptp.aNaturalNumber0 @t18) (= (tptp.sdtlbdtrb0 @t5 @t18) (tptp.sdtlbdtrb0 @t1 @t18))))))))))) % 0.37/0.58 (assume @p33 (forall @t11 (=> @t46 (=> @t45 (= (tptp.aDimensionOf0 @t41) (tptp.aDimensionOf0 @t42)))))) % 0.37/0.58 (assume @p34 (forall @t11 (=> @t46 (=> @t44 (tptp.aScalar0 @t47))))) % 0.37/0.58 (assume @p35 (forall @t11 (=> @t46 (=> (and @t44 @t43) (= @t47 tptp.sz0z00))))) % 0.37/0.58 (assume @p36 (forall @t11 (=> @t46 (=> @t45 (= @t47 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t41 @t42) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t38) (tptp.sdtlbdtrb0 @t5 @t39)))))))) % 0.37/0.58 (assume @p37 (forall @t3 (=> @t37 (tptp.sdtlseqdt0 tptp.sz0z00 @t48)))) % 0.37/0.58 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 0.37/0.58 (assume @p39 (forall @t11 (=> @t46 (=> @t44 (=> (tptp.iLess0 @t38 @t49) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t47 @t47) (tptp.sdtasdt0 @t48 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.37/0.58 (assume @p40 (= @t49 @t50)) % 0.37/0.58 (assume @p41 (not (= @t49 tptp.sz00))) % 0.37/0.58 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t49) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp (tptp.sziznziztdt0 tptp.xs)))) % 0.37/0.58 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t50) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq (tptp.sziznziztdt0 tptp.xt)))) % 0.37/0.58 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t49)))) % 0.37/0.58 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t50)))) % 0.37/0.58 (assume @p46 (and (tptp.aScalar0 tptp.xC) (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) % 0.37/0.58 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) % 0.37/0.58 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 0.37/0.58 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 0.37/0.58 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 0.37/0.58 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 0.37/0.58 (assume @p52 (and (tptp.aScalar0 tptp.xR) (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 0.37/0.58 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 0.37/0.58 (assume @p54 (and (tptp.aScalar0 tptp.xS) (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.37/0.58 (assume @p55 (and (tptp.aScalar0 tptp.xN) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) % 0.37/0.58 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 0.37/0.58 (assume @p57 (tptp.sdtlseqdt0 @t51 tptp.xN)) % 0.37/0.58 (assume @p58 (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t51 @t51) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xR tptp.xR) (tptp.sdtasdt0 tptp.xS tptp.xS)))) % 0.37/0.58 (assume @p59 (tptp.sdtlseqdt0 @t55 @t53)) % 0.37/0.58 (assume @p60 (not (tptp.sdtlseqdt0 @t54 @t52))) % 0.37/0.58 (assume @p61 @t56) % 0.37/0.58 (assume @p62 (and (tptp.sdtlseqdt0 tptp.sz0z00 @t52) (tptp.sdtlseqdt0 tptp.sz0z00 @t54))) % 0.37/0.58 (assume @p63 (tptp.sdtlseqdt0 @t53 @t55)) % 0.37/0.58 (assume @p64 (= @t52 @t54)) % 0.37/0.58 (assume @p65 (not false)) % 0.37/0.58 (assume @p66 true) % 0.37/0.58 (step @p67 :rule evaluate :args ((= true false))) % 0.37/0.58 (step @p68 :rule false_intro :premises (@p60)) % 0.37/0.58 (step @p69 :rule symm :premises (@p64)) % 0.37/0.58 (step @p70 :rule cong :premises (@p64 @p69) :args (@t56)) % 0.37/0.58 (step @p71 :rule true_intro :premises (@p61)) % 0.37/0.58 (step @p72 :rule symm :premises (@p71)) % 0.37/0.58 (step @p73 :rule trans :premises (@p72 @p70 @p68)) % 0.37/0.58 (step @p74 false :rule eq_resolve :premises (@p73 @p67)) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------