%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG046+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:45:29 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG046+1 : TPTP v9.2.1. Released v4.0.0. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:03:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.xx $$unsorted) % 0.37/0.57 (declare-const tptp.sz0z00 $$unsorted) % 0.37/0.57 (declare-const tptp.xy $$unsorted) % 0.37/0.57 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.sz00 $$unsorted) % 0.37/0.57 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.57 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.37/0.57 (define @t3 () (@list @t1)) % 0.37/0.57 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.37/0.57 (define @t5 () (@var "W1" $$unsorted)) % 0.37/0.57 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.37/0.57 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.37/0.57 (define @t8 () (and @t2 @t7)) % 0.37/0.57 (define @t9 () (@list @t1 @t5)) % 0.37/0.57 (define @t10 () (tptp.aScalar0 @t1)) % 0.37/0.57 (define @t11 () (tptp.sdtpldt0 @t1 @t5)) % 0.37/0.57 (define @t12 () (tptp.aScalar0 @t5)) % 0.37/0.57 (define @t13 () (and @t10 @t12)) % 0.37/0.57 (define @t14 () (tptp.sdtasdt0 @t1 @t5)) % 0.37/0.57 (define @t15 () (tptp.smndt0 @t1)) % 0.37/0.57 (define @t16 () (tptp.aScalar0 @t15)) % 0.37/0.57 (define @t17 () (forall @t3 (=> @t10 @t16))) % 0.37/0.57 (define @t18 () (tptp.smndt0 tptp.sz0z00)) % 0.37/0.57 (define @t19 () (tptp.smndt0 @t15)) % 0.37/0.57 (define @t20 () (tptp.sdtpldt0 @t15 @t1)) % 0.37/0.57 (define @t21 () (tptp.sdtpldt0 @t1 @t15)) % 0.37/0.57 (define @t22 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 0.37/0.57 (define @t23 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 0.37/0.57 (define @t24 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 0.37/0.57 (define @t25 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 0.37/0.57 (define @t26 () (and (= @t25 @t1) (= @t24 @t1) (= @t23 tptp.sz0z00) (= @t22 tptp.sz0z00) (= @t21 tptp.sz0z00) (= @t20 tptp.sz0z00) (= @t19 @t1) (= @t18 tptp.sz0z00))) % 0.37/0.57 (define @t27 () (=> @t10 @t26)) % 0.37/0.57 (define @t28 () (forall @t3 @t27)) % 0.37/0.57 (define @t29 () (@var "W2" $$unsorted)) % 0.37/0.57 (define @t30 () (tptp.sdtasdt0 @t5 @t29)) % 0.37/0.57 (define @t31 () (tptp.sdtpldt0 @t5 @t29)) % 0.37/0.57 (define @t32 () (tptp.aScalar0 @t29)) % 0.37/0.57 (define @t33 () (and @t10 @t12 @t32)) % 0.37/0.57 (define @t34 () (@list @t1 @t5 @t29)) % 0.37/0.57 (define @t35 () (tptp.sdtasdt0 @t1 @t29)) % 0.37/0.57 (define @t36 () (@var "W3" $$unsorted)) % 0.37/0.57 (define @t37 () (tptp.smndt0 @t14)) % 0.37/0.57 (define @t38 () (tptp.sdtasdt0 @t15 @t5)) % 0.37/0.57 (define @t39 () (tptp.sdtasdt0 @t1 (tptp.smndt0 @t5))) % 0.37/0.57 (define @t40 () (and (= @t39 @t37) (= @t38 @t37))) % 0.37/0.57 (define @t41 () (=> @t13 @t40)) % 0.37/0.57 (define @t42 () (forall @t9 @t41)) % 0.37/0.57 (define @t43 () (tptp.aScalar0 tptp.xy)) % 0.37/0.57 (define @t44 () (tptp.aScalar0 tptp.xx)) % 0.37/0.57 (define @t45 () (tptp.smndt0 tptp.xx)) % 0.37/0.57 (define @t46 () (tptp.sdtasdt0 @t45 (tptp.smndt0 tptp.xy))) % 0.37/0.57 (define @t47 () (= @t46 (tptp.sdtasdt0 tptp.xx tptp.xy))) % 0.37/0.57 (define @t48 () (not @t47)) % 0.37/0.57 (define @t49 () (= tptp.sz0z00 @t18)) % 0.37/0.57 (define @t50 () (and (= @t1 @t25) (= @t1 @t24) (= tptp.sz0z00 @t23) (= tptp.sz0z00 @t22) (= tptp.sz0z00 @t21) (= tptp.sz0z00 @t20) (= @t1 @t19) @t49)) % 0.37/0.57 (define @t51 () (@list tptp.xx)) % 0.37/0.57 (define @t52 () (tptp.smndt0 @t45)) % 0.37/0.57 (define @t53 () (= tptp.xx @t52)) % 0.37/0.57 (define @t54 () (and (= tptp.xx (tptp.sdtpldt0 tptp.xx tptp.sz0z00)) (= tptp.xx (tptp.sdtpldt0 tptp.sz0z00 tptp.xx)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xx tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xx)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xx @t45)) (= tptp.sz0z00 (tptp.sdtpldt0 @t45 tptp.xx)) @t53 @t49)) % 0.37/0.57 (define @t55 () (not @t44)) % 0.37/0.57 (define @t56 () (or @t55 @t54)) % 0.37/0.57 (define @t57 () (@list false false)) % 0.37/0.57 (define @t58 () (@list false)) % 0.37/0.57 (define @t59 () (and (= @t37 @t39) (= @t37 @t38))) % 0.37/0.57 (define @t60 () (not @t12)) % 0.37/0.57 (define @t61 () (not @t10)) % 0.37/0.57 (define @t62 () (or @t61 @t60 @t59)) % 0.37/0.57 (define @t63 () (tptp.sdtasdt0 @t52 tptp.xy)) % 0.37/0.57 (define @t64 () (tptp.smndt0 (tptp.sdtasdt0 @t45 tptp.xy))) % 0.37/0.57 (define @t65 () (= @t64 @t63)) % 0.37/0.57 (define @t66 () (and (= @t64 @t46) @t65)) % 0.37/0.57 (define @t67 () (not @t43)) % 0.37/0.57 (define @t68 () (tptp.aScalar0 @t45)) % 0.37/0.57 (define @t69 () (not @t68)) % 0.37/0.57 (define @t70 () (or @t69 @t67 @t66)) % 0.37/0.57 (define @t71 () (forall @t9 @t62)) % 0.37/0.57 (define @t72 () (= @t46 @t64)) % 0.37/0.57 (define @t73 () (and @t72 @t65)) % 0.37/0.57 (define @t74 () (or @t69 @t67 @t73)) % 0.37/0.57 (define @t75 () (or @t55 @t68)) % 0.37/0.57 (define @t76 () (not @t73)) % 0.37/0.57 (define @t77 () (@list @t73)) % 0.37/0.57 (define @t78 () (not @t65)) % 0.37/0.57 (define @t79 () (not @t72)) % 0.37/0.57 (define @t80 () (not @t53)) % 0.37/0.57 (define @t81 () (and @t48 @t53 @t72)) % 0.37/0.57 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.57 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.37/0.57 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.37/0.57 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists (@list @t5) (and @t7 (= @t1 @t6)))))) % 0.37/0.57 (assume @p5 (forall @t9 (=> @t8 (=> (= @t4 @t6) (= @t1 @t5))))) % 0.37/0.57 (assume @p6 (forall @t9 (=> @t8 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.37/0.57 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.37/0.57 (assume @p8 (forall @t3 (=> @t10 true))) % 0.37/0.57 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.37/0.57 (assume @p10 (forall @t9 (=> @t13 (tptp.aScalar0 @t11)))) % 0.37/0.57 (assume @p11 (forall @t9 (=> @t13 (tptp.aScalar0 @t14)))) % 0.37/0.57 (assume @p12 @t17) % 0.37/0.57 (assume @p13 @t28) % 0.37/0.57 (assume @p14 (forall @t34 (=> @t33 (and (= (tptp.sdtpldt0 @t11 @t29) (tptp.sdtpldt0 @t1 @t31)) (= @t11 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t14 @t29) (tptp.sdtasdt0 @t1 @t30)) (= @t14 (tptp.sdtasdt0 @t5 @t1)))))) % 0.37/0.57 (assume @p15 (forall @t34 (=> @t33 (and (= (tptp.sdtasdt0 @t1 @t31) (tptp.sdtpldt0 @t14 @t35)) (= (tptp.sdtasdt0 @t11 @t29) (tptp.sdtpldt0 @t35 @t30)))))) % 0.37/0.57 (assume @p16 (forall (@list @t1 @t5 @t29 @t36) (=> (and @t10 @t12 @t32 (tptp.aScalar0 @t36)) (= (tptp.sdtasdt0 @t11 (tptp.sdtpldt0 @t29 @t36)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t35 (tptp.sdtasdt0 @t1 @t36)) (tptp.sdtpldt0 @t30 (tptp.sdtasdt0 @t5 @t36))))))) % 0.37/0.57 (assume @p17 @t42) % 0.37/0.57 (assume @p18 (and @t44 @t43)) % 0.37/0.57 (assume @p19 @t48) % 0.37/0.57 (assume @p20 true) % 0.37/0.57 (step @p21 :rule bool-impl-elim :args (@t10 @t50)) % 0.37/0.57 (step @p22 :rule cong :premises (@p21) :args ((forall @t3 (=> @t10 @t50)))) % 0.37/0.57 (step @p23 :rule eq-symm :args (@t18 tptp.sz0z00)) % 0.37/0.57 (step @p24 :rule eq-symm :args (@t19 @t1)) % 0.37/0.57 (step @p25 :rule eq-symm :args (@t20 tptp.sz0z00)) % 0.37/0.57 (step @p26 :rule eq-symm :args (@t21 tptp.sz0z00)) % 0.37/0.57 (step @p27 :rule eq-symm :args (@t22 tptp.sz0z00)) % 0.37/0.57 (step @p28 :rule eq-symm :args (@t23 tptp.sz0z00)) % 0.37/0.57 (step @p29 :rule eq-symm :args (@t24 @t1)) % 0.37/0.57 (step @p30 :rule eq-symm :args (@t25 @t1)) % 0.37/0.57 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23) :args (@t26)) % 0.37/0.57 (step @p32 :rule refl :args (@t10)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32 @p31) :args (@t27)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33) :args (@t28)) % 0.37/0.57 (step @p35 :rule trans :premises (@p34 @p22)) % 0.37/0.57 (step @p36 :rule eq_resolve :premises (@p13 @p35)) % 0.37/0.57 (step @p37 :rule instantiate :premises (@p36) :args (@t51)) % 0.37/0.57 (step @p38 :rule and_elim :premises (@p18) :args (0)) % 0.37/0.57 (step @p39 :rule cnf_or_pos :args (@t56)) % 0.37/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t55 @t54 (not @t56)))) % 0.37/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37) :args (@t54 @t57 (@list @t44 @t56))) % 0.37/0.57 (step @p42 :rule cnf_and_pos :args (@t54 6)) % 0.37/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t53 (not @t54)))) % 0.37/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p41) :args (@t53 @t58 (@list @t54))) % 0.37/0.57 (step @p45 :rule aci_norm :args ((= (or (or @t61 @t60) @t59) @t62))) % 0.37/0.57 (step @p46 :rule refl :args (@t59)) % 0.37/0.57 (step @p47 :rule bool-and-de-morgan :args (@t10 @t12 true)) % 0.37/0.57 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t13) @t59))) % 0.37/0.57 (step @p49 :rule trans :premises (@p48 @p45)) % 0.37/0.57 (step @p50 :rule bool-impl-elim :args (@t13 @t59)) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51) :args ((forall @t9 (=> @t13 @t59)))) % 0.37/0.57 (step @p53 :rule eq-symm :args (@t38 @t37)) % 0.37/0.57 (step @p54 :rule eq-symm :args (@t39 @t37)) % 0.37/0.57 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t40)) % 0.37/0.57 (step @p56 :rule refl :args (@t13)) % 0.37/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args (@t41)) % 0.37/0.57 (step @p58 :rule cong :premises (@p57) :args (@t42)) % 0.37/0.57 (step @p59 :rule trans :premises (@p58 @p52)) % 0.37/0.57 (step @p60 :rule eq_resolve :premises (@p17 @p59)) % 0.37/0.57 (step @p61 :rule refl :args (@t65)) % 0.37/0.57 (step @p62 :rule eq-symm :args (@t64 @t46)) % 0.37/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t66)) % 0.37/0.58 (step @p64 :rule refl :args (@t67)) % 0.37/0.58 (step @p65 :rule refl :args (@t69)) % 0.37/0.58 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t70)) % 0.37/0.58 (step @p67 :rule refl :args (@t71)) % 0.37/0.58 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t71 @t70))) % 0.37/0.58 (assume-push @p118 @t71) % 0.37/0.58 (step @p70 :rule instantiate :premises (@p60) :args ((@list @t45 tptp.xy))) % 0.37/0.58 (step-pop @p119 :rule scope :premises (@p70)) % 0.37/0.58 (step @p71 :rule process_scope :premises (@p119) :args (@t70)) % 0.37/0.58 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.37/0.58 (step @p74 :rule implies_elim :premises (@p73)) % 0.37/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p60) :args (@t74 @t58 (@list @t71))) % 0.37/0.58 (step @p76 :rule bool-impl-elim :args (@t10 @t16)) % 0.37/0.58 (step @p77 :rule cong :premises (@p76) :args (@t17)) % 0.37/0.58 (step @p78 :rule eq_resolve :premises (@p12 @p77)) % 0.37/0.58 (step @p79 :rule instantiate :premises (@p78) :args (@t51)) % 0.37/0.58 (step @p80 :rule cnf_or_pos :args (@t75)) % 0.37/0.58 (step @p81 :rule reordering :premises (@p80) :args ((or @t55 @t68 (not @t75)))) % 0.37/0.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p38 @p79) :args (@t68 @t57 (@list @t44 @t75))) % 0.37/0.58 (step @p83 :rule and_elim :premises (@p18) :args (1)) % 0.37/0.58 (step @p84 :rule cnf_or_pos :args (@t74)) % 0.37/0.58 (step @p85 :rule reordering :premises (@p84) :args ((or @t67 @t69 @t73 (not @t74)))) % 0.37/0.58 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p82 @p75) :args (@t73 (@list false false false) (@list @t43 @t68 @t74))) % 0.37/0.58 (step @p87 :rule cnf_and_pos :args (@t73 0)) % 0.37/0.58 (step @p88 :rule reordering :premises (@p87) :args ((or @t72 @t76))) % 0.37/0.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t72 @t58 @t77)) % 0.37/0.58 (step @p90 :rule cnf_and_pos :args (@t73 1)) % 0.37/0.58 (step @p91 :rule reordering :premises (@p90) :args ((or @t65 @t76))) % 0.37/0.58 (step @p92 :rule chain_m_resolution :premises (@p91 @p86) :args (@t65 @t58 @t77)) % 0.37/0.58 (step @p93 :rule refl :args (@t78)) % 0.37/0.58 (step @p94 :rule refl :args (@t79)) % 0.37/0.58 (step @p95 :rule refl :args (@t80)) % 0.37/0.58 (step @p96 :rule bool-double-not-elim :args (@t47)) % 0.37/0.58 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93) :args ((or (not @t48) @t80 @t79 @t78))) % 0.37/0.58 (assume-push @p120 @t48) % 0.37/0.58 (assume-push @p121 @t53) % 0.37/0.58 (assume-push @p122 @t72) % 0.37/0.58 (step @p101 :rule false_intro :premises (@p19)) % 0.37/0.58 (step @p102 :rule refl :args (tptp.xy)) % 0.37/0.58 (step @p103 :rule symm :premises (@p44)) % 0.37/0.58 (step @p104 :rule cong :premises (@p103 @p102) :args (@t63)) % 0.37/0.58 (step @p105 :rule symm :premises (@p89)) % 0.37/0.58 (step @p106 :rule cong :premises (@p105 @p104) :args (@t65)) % 0.37/0.58 (step @p107 :rule trans :premises (@p106 @p101)) % 0.37/0.58 (step @p108 :rule false_elim :premises (@p107)) % 0.37/0.58 (step-pop @p123 :rule scope :premises (@p108)) % 0.37/0.58 (step-pop @p124 :rule scope :premises (@p123)) % 0.37/0.58 (step-pop @p125 :rule scope :premises (@p124)) % 0.37/0.58 (step @p109 :rule process_scope :premises (@p125) :args (@t78)) % 0.37/0.58 (step @p113 :rule implies_elim :premises (@p109)) % 0.37/0.58 (step @p114 :rule cnf_and_neg :args (@t81)) % 0.37/0.58 (step @p115 :rule resolution :premises (@p114 @p113) :args (true @t81)) % 0.37/0.58 (step @p116 :rule eq_resolve :premises (@p115 @p97)) % 0.37/0.58 (step @p117 false :rule chain_m_resolution :premises (@p116 @p92 @p89 @p44 @p19) :args (false (@list false false false true) (@list @t65 @t72 @t53 @t47))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------