%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM849+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:40:49 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM849+2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.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 12:30:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.v1 $$unsorted) % 0.39/0.57 (declare-const tptp.vd448 $$unsorted) % 0.39/0.57 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.vd449 $$unsorted) % 0.39/0.57 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.39/0.57 (define @t1 () (@var "Vd454" $$unsorted)) % 0.39/0.57 (define @t2 () (tptp.vsucc @t1)) % 0.39/0.57 (define @t3 () (tptp.vmul tptp.vd448 tptp.vd449)) % 0.39/0.57 (define @t4 () (= (tptp.vmul @t3 @t2) (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 @t2)))) % 0.39/0.57 (define @t5 () (= (tptp.vmul @t3 @t1) (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 @t1)))) % 0.39/0.57 (define @t6 () (@list @t1)) % 0.39/0.57 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.39/0.57 (define @t8 () (not @t7)) % 0.39/0.57 (define @t9 () (@var "Vd451" $$unsorted)) % 0.39/0.57 (define @t10 () (tptp.vsucc @t9)) % 0.39/0.57 (define @t11 () (tptp.vmul tptp.vd449 @t9)) % 0.39/0.57 (define @t12 () (tptp.vmul tptp.vd448 (tptp.vplus @t11 tptp.vd449))) % 0.39/0.57 (define @t13 () (= @t12 (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 @t10)))) % 0.39/0.57 (define @t14 () (tptp.vmul tptp.vd448 @t11)) % 0.39/0.57 (define @t15 () (tptp.vmul @t3 @t9)) % 0.39/0.57 (define @t16 () (= @t15 @t14)) % 0.39/0.57 (define @t17 () (@list @t9)) % 0.39/0.57 (define @t18 () (forall @t17 (=> @t16 @t13))) % 0.39/0.57 (define @t19 () (tptp.vplus @t14 @t3)) % 0.39/0.57 (define @t20 () (=> @t16 (= @t19 @t12))) % 0.39/0.57 (define @t21 () (forall @t17 @t20)) % 0.39/0.57 (define @t22 () (tptp.vplus @t15 @t3)) % 0.39/0.57 (define @t23 () (@var "Vd434" $$unsorted)) % 0.39/0.57 (define @t24 () (@var "Vd432" $$unsorted)) % 0.39/0.57 (define @t25 () (@var "Vd433" $$unsorted)) % 0.39/0.57 (define @t26 () (@var "Vd418" $$unsorted)) % 0.39/0.57 (define @t27 () (@var "Vd419" $$unsorted)) % 0.39/0.57 (define @t28 () (@var "Vd409" $$unsorted)) % 0.39/0.57 (define @t29 () (@var "Vd408" $$unsorted)) % 0.39/0.57 (define @t30 () (@var "Vd396" $$unsorted)) % 0.39/0.57 (define @t31 () (tptp.vmul @t30 tptp.v1)) % 0.39/0.57 (define @t32 () (@var "Vd397" $$unsorted)) % 0.39/0.57 (define @t33 () (= (tptp.vmul @t30 (tptp.vsucc @t32)) (tptp.vplus (tptp.vmul @t30 @t32) @t30))) % 0.39/0.57 (define @t34 () (and @t33 (= @t31 @t30))) % 0.39/0.57 (define @t35 () (@list @t30 @t32)) % 0.39/0.57 (define @t36 () (forall @t35 @t34)) % 0.39/0.57 (define @t37 () (@var "Vd79" $$unsorted)) % 0.39/0.57 (define @t38 () (@var "Vd78" $$unsorted)) % 0.39/0.57 (define @t39 () (@var "Vd42" $$unsorted)) % 0.39/0.57 (define @t40 () (@var "Vd43" $$unsorted)) % 0.39/0.57 (define @t41 () (@quantifiers_skolemize (forall @t6 (or (not @t5) @t4)) 0)) % 0.39/0.57 (define @t42 () (tptp.vmul tptp.vd449 @t41)) % 0.39/0.57 (define @t43 () (tptp.vmul tptp.vd448 @t42)) % 0.39/0.57 (define @t44 () (tptp.vmul @t3 @t41)) % 0.39/0.57 (define @t45 () (= @t44 @t43)) % 0.39/0.57 (define @t46 () (tptp.vsucc @t41)) % 0.39/0.57 (define @t47 () (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 @t46))) % 0.39/0.57 (define @t48 () (tptp.vmul @t3 @t46)) % 0.39/0.57 (define @t49 () (= @t48 @t47)) % 0.39/0.57 (define @t50 () (not @t45)) % 0.39/0.57 (define @t51 () (or @t50 @t49)) % 0.39/0.57 (define @t52 () (@list true)) % 0.39/0.57 (define @t53 () (@list @t51)) % 0.39/0.57 (define @t54 () (not @t49)) % 0.39/0.57 (define @t55 () (@var "BOUND_VARIABLE_7559" $$unsorted)) % 0.39/0.57 (define @t56 () (= @t55 (tptp.vmul @t55 tptp.v1))) % 0.39/0.57 (define @t57 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.39/0.57 (define @t58 () (forall (@list @t55 @t57) @t56)) % 0.39/0.57 (define @t59 () (@var "BOUND_VARIABLE_7548" $$unsorted)) % 0.39/0.57 (define @t60 () (@var "BOUND_VARIABLE_7550" $$unsorted)) % 0.39/0.57 (define @t61 () (forall (@list @t59 @t60) (= (tptp.vmul @t59 (tptp.vsucc @t60)) (tptp.vplus (tptp.vmul @t59 @t60) @t59)))) % 0.39/0.57 (define @t62 () (= @t30 @t31)) % 0.39/0.57 (define @t63 () (forall @t35 @t62)) % 0.39/0.57 (define @t64 () (@list @t30 @t32)) % 0.39/0.57 (define @t65 () (forall @t35 @t33)) % 0.39/0.57 (define @t66 () (and @t65 @t63)) % 0.39/0.57 (define @t67 () (tptp.vmul tptp.vd448 (tptp.vplus @t42 tptp.vd449))) % 0.39/0.57 (define @t68 () (or @t50 (= @t67 @t47))) % 0.39/0.57 (define @t69 () (forall @t17 (or (not @t16) @t13))) % 0.39/0.57 (define @t70 () (@list @t41)) % 0.39/0.57 (define @t71 () (= @t47 @t67)) % 0.39/0.57 (define @t72 () (or @t50 @t71)) % 0.39/0.57 (define @t73 () (@list false false)) % 0.39/0.57 (define @t74 () (= @t12 @t19)) % 0.39/0.57 (define @t75 () (tptp.vplus @t43 @t3)) % 0.39/0.57 (define @t76 () (= @t67 @t75)) % 0.39/0.57 (define @t77 () (or @t50 @t76)) % 0.39/0.57 (define @t78 () (= @t48 (tptp.vmul @t46 @t3))) % 0.39/0.57 (define @t79 () (not @t78)) % 0.39/0.57 (define @t80 () (tptp.vplus @t44 @t3)) % 0.39/0.57 (define @t81 () (= @t48 @t80)) % 0.39/0.57 (define @t82 () (not @t81)) % 0.39/0.57 (define @t83 () (not @t76)) % 0.39/0.57 (define @t84 () (not @t71)) % 0.39/0.57 (define @t85 () (= @t75 @t80)) % 0.39/0.57 (define @t86 () (and @t78 @t81 @t85 @t76 @t71 @t54)) % 0.39/0.57 (assume @p1 @t8) % 0.39/0.57 (assume @p2 @t18) % 0.39/0.57 (assume @p3 @t21) % 0.39/0.57 (assume @p4 (forall @t17 (=> @t16 (= @t22 @t19)))) % 0.39/0.57 (assume @p5 (forall @t17 (=> @t16 (= (tptp.vmul @t3 @t10) @t22)))) % 0.39/0.57 (assume @p6 (= @t3 (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 tptp.v1)))) % 0.39/0.57 (assume @p7 (forall (@list @t24 @t25 @t23) (= (tptp.vmul @t24 (tptp.vplus @t25 @t23)) (tptp.vplus (tptp.vmul @t24 @t25) (tptp.vmul @t24 @t23))))) % 0.39/0.57 (assume @p8 (forall (@list @t26 @t27) (= (tptp.vmul @t26 @t27) (tptp.vmul @t27 @t26)))) % 0.39/0.57 (assume @p9 (forall (@list @t29 @t28) (= (tptp.vmul (tptp.vsucc @t29) @t28) (tptp.vplus (tptp.vmul @t29 @t28) @t28)))) % 0.39/0.57 (assume @p10 @t36) % 0.39/0.57 (assume @p11 (forall (@list @t38 @t37) (= (tptp.vplus @t37 @t38) (tptp.vplus @t38 @t37)))) % 0.39/0.57 (assume @p12 (forall (@list @t39 @t40) (and (= (tptp.vplus @t39 (tptp.vsucc @t40)) (tptp.vsucc (tptp.vplus @t39 @t40))) (= (tptp.vplus @t39 tptp.v1) (tptp.vsucc @t39))))) % 0.39/0.57 (assume @p13 true) % 0.39/0.57 (step @p14 :rule bool-impl-elim :args (@t5 @t4)) % 0.39/0.57 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.39/0.57 (step @p16 :rule cong :premises (@p15) :args (@t8)) % 0.39/0.57 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.39/0.57 (step @p18 :rule skolemize :premises (@p17)) % 0.39/0.57 (step @p19 :rule bool-double-not-elim :args (@t45)) % 0.39/0.57 (step @p20 :rule refl :args (@t51)) % 0.39/0.57 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t51 (not @t50)))) % 0.39/0.57 (step @p22 :rule cnf_or_neg :args (@t51 0)) % 0.39/0.57 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.39/0.57 (step @p24 :rule reordering :premises (@p23) :args ((or @t45 @t51))) % 0.39/0.57 (step @p25 :rule chain_m_resolution :premises (@p24 @p18) :args (@t45 @t52 @t53)) % 0.39/0.57 (step @p26 :rule cnf_or_neg :args (@t51 1)) % 0.39/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p18) :args (@t54 @t52 @t53)) % 0.39/0.57 (step @p28 :rule instantiate :premises (@p8) :args ((@list @t3 @t46))) % 0.39/0.57 (step @p29 :rule quant-unused-vars :args ((= @t58 (forall (@list @t55) @t56)))) % 0.39/0.57 (step @p30 :rule refl :args (@t61)) % 0.39/0.57 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((and @t61 @t58))) % 0.39/0.57 (step @p32 :rule alpha_equiv :args (@t63 @t64 (@list @t55 @t57))) % 0.39/0.57 (step @p33 :rule alpha_equiv :args (@t65 @t64 (@list @t59 @t60))) % 0.39/0.57 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t66)) % 0.39/0.57 (step @p35 :rule quant-miniscope-and :args ((= (forall @t35 (and @t33 @t62)) @t66))) % 0.39/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.57 (step @p37 :rule trans :premises (@p36 @p31)) % 0.39/0.57 (step @p38 :rule eq-symm :args (@t31 @t30)) % 0.39/0.57 (step @p39 :rule refl :args (@t33)) % 0.39/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t34)) % 0.39/0.57 (step @p41 :rule cong :premises (@p40) :args (@t36)) % 0.39/0.57 (step @p42 :rule trans :premises (@p41 @p37)) % 0.39/0.57 (step @p43 :rule eq_resolve :premises (@p10 @p42)) % 0.39/0.57 (step @p44 :rule and_elim :premises (@p43) :args (0)) % 0.39/0.57 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t3 @t41))) % 0.39/0.57 (step @p46 :rule bool-impl-elim :args (@t16 @t13)) % 0.39/0.57 (step @p47 :rule cong :premises (@p46) :args (@t18)) % 0.39/0.57 (step @p48 :rule eq_resolve :premises (@p2 @p47)) % 0.39/0.57 (step @p49 :rule eq-symm :args (@t67 @t47)) % 0.39/0.57 (step @p50 :rule refl :args (@t50)) % 0.39/0.57 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t68)) % 0.39/0.57 (step @p52 :rule refl :args (@t69)) % 0.39/0.57 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t69 @t68))) % 0.39/0.57 (assume-push @p128 @t69) % 0.39/0.57 (step @p55 :rule instantiate :premises (@p48) :args (@t70)) % 0.39/0.57 (step-pop @p129 :rule scope :premises (@p55)) % 0.39/0.57 (step @p56 :rule process_scope :premises (@p129) :args (@t68)) % 0.39/0.57 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.39/0.57 (step @p59 :rule implies_elim :premises (@p58)) % 0.39/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p48) :args (@t72 (@list false) (@list @t69))) % 0.39/0.57 (step @p61 :rule cnf_or_pos :args (@t72)) % 0.39/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t50 @t71 (not @t72)))) % 0.39/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p25 @p60) :args (@t71 @t73 (@list @t45 @t72))) % 0.39/0.57 (step @p64 :rule bool-impl-elim :args (@t16 @t74)) % 0.39/0.57 (step @p65 :rule cong :premises (@p64) :args ((forall @t17 (=> @t16 @t74)))) % 0.39/0.57 (step @p66 :rule eq-symm :args (@t19 @t12)) % 0.39/0.57 (step @p67 :rule refl :args (@t16)) % 0.39/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args (@t20)) % 0.39/0.57 (step @p69 :rule cong :premises (@p68) :args (@t21)) % 0.39/0.57 (step @p70 :rule trans :premises (@p69 @p65)) % 0.39/0.57 (step @p71 :rule eq_resolve :premises (@p3 @p70)) % 0.39/0.57 (step @p72 :rule instantiate :premises (@p71) :args (@t70)) % 0.39/0.57 (step @p73 :rule cnf_or_pos :args (@t77)) % 0.39/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t50 @t76 (not @t77)))) % 0.39/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p25 @p72) :args (@t76 @t73 (@list @t45 @t77))) % 0.39/0.57 (step @p76 :rule refl :args (@t79)) % 0.39/0.57 (step @p77 :rule refl :args (@t82)) % 0.39/0.57 (step @p78 :rule refl :args (@t83)) % 0.39/0.57 (step @p79 :rule refl :args (@t84)) % 0.39/0.57 (step @p80 :rule bool-double-not-elim :args (@t49)) % 0.39/0.57 (step @p81 :rule nary_cong :premises (@p50 @p80 @p79 @p78 @p77 @p76) :args ((or @t50 (not @t54) @t84 @t83 @t82 @t79))) % 0.39/0.57 (assume-push @p130 @t78) % 0.39/0.57 (assume-push @p131 @t81) % 0.39/0.57 (assume-push @p132 @t85) % 0.39/0.57 (assume-push @p133 @t76) % 0.39/0.57 (assume-push @p134 @t71) % 0.39/0.57 (assume-push @p135 @t54) % 0.39/0.57 (step @p88 :rule evaluate :args ((= false true))) % 0.39/0.57 (step @p89 :rule symm :premises (@p45)) % 0.39/0.57 (step @p90 :rule refl :args (@t3)) % 0.39/0.57 (step @p91 :rule symm :premises (@p25)) % 0.39/0.57 (step @p92 :rule cong :premises (@p91 @p90) :args (@t75)) % 0.39/0.57 (step @p93 :rule trans :premises (@p63 @p75 @p92 @p89 @p28)) % 0.39/0.57 (step @p94 :rule symm :premises (@p93)) % 0.39/0.57 (step @p95 :rule trans :premises (@p28 @p94)) % 0.39/0.57 (step @p96 :rule true_intro :premises (@p95)) % 0.39/0.57 (step @p97 :rule false_intro :premises (@p27)) % 0.39/0.57 (step @p98 :rule symm :premises (@p97)) % 0.39/0.57 (step @p99 :rule trans :premises (@p98 @p96)) % 0.39/0.57 (step @p100 false :rule eq_resolve :premises (@p99 @p88)) % 0.39/0.57 (step-pop @p136 :rule scope :premises (@p100)) % 0.39/0.57 (step-pop @p137 :rule scope :premises (@p136)) % 0.39/0.57 (step-pop @p138 :rule scope :premises (@p137)) % 0.39/0.57 (step-pop @p139 :rule scope :premises (@p138)) % 0.39/0.57 (step-pop @p140 :rule scope :premises (@p139)) % 0.39/0.57 (step-pop @p141 :rule scope :premises (@p140)) % 0.39/0.57 (step @p101 :rule process_scope :premises (@p141) :args (false)) % 0.39/0.57 (assume-push @p142 @t45) % 0.39/0.57 (assume-push @p143 @t54) % 0.39/0.57 (assume-push @p144 @t71) % 0.39/0.57 (assume-push @p145 @t76) % 0.39/0.57 (assume-push @p146 @t81) % 0.39/0.57 (assume-push @p147 @t78) % 0.39/0.57 (step @p90 :rule refl :args (@t3)) % 0.39/0.57 (step @p91 :rule symm :premises (@p25)) % 0.39/0.57 (step @p114 :rule cong :premises (@p91 @p90) :args (@t75)) % 0.39/0.57 (step @p115 :rule and_intro :premises (@p28 @p45 @p114 @p75 @p63 @p27)) % 0.39/0.57 (step-pop @p148 :rule scope :premises (@p115)) % 0.39/0.57 (step-pop @p149 :rule scope :premises (@p148)) % 0.39/0.57 (step-pop @p150 :rule scope :premises (@p149)) % 0.39/0.57 (step-pop @p151 :rule scope :premises (@p150)) % 0.39/0.57 (step-pop @p152 :rule scope :premises (@p151)) % 0.39/0.57 (step-pop @p153 :rule scope :premises (@p152)) % 0.39/0.57 (step @p116 :rule process_scope :premises (@p153) :args (@t86)) % 0.39/0.57 (step @p123 :rule implies_elim :premises (@p116)) % 0.39/0.57 (step @p124 :rule resolution :premises (@p123 @p101) :args (true @t86)) % 0.39/0.57 (step @p125 :rule not_and :premises (@p124)) % 0.39/0.57 (step @p126 :rule eq_resolve :premises (@p125 @p81)) % 0.39/0.57 (step @p127 false :rule chain_m_resolution :premises (@p126 @p75 @p63 @p45 @p28 @p27 @p25) :args (false (@list false false false false true false) (@list @t76 @t71 @t81 @t78 @t49 @t45))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------