%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM854+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 : n016.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 08:40:50 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 : NUM854+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 % 0.16/0.34 % Computer : n016.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 12:30:39 EDT 2026 % 0.16/0.34 % 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 $$unsorted 0) % 0.37/0.57 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.vd512 $$unsorted) % 0.37/0.57 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.vd508 $$unsorted) % 0.37/0.57 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v1 $$unsorted) % 0.37/0.57 (declare-const tptp.vd509 $$unsorted) % 0.37/0.57 (declare-const tptp.vd511 $$unsorted) % 0.37/0.57 (define @t1 () (tptp.greater (tptp.vmul tptp.vd508 tptp.vd511) (tptp.vmul tptp.vd509 tptp.vd511))) % 0.37/0.57 (define @t2 () (tptp.greater tptp.vd508 tptp.vd509)) % 0.37/0.57 (define @t3 () (@var "Vd498" $$unsorted)) % 0.37/0.57 (define @t4 () (@var "Vd496" $$unsorted)) % 0.37/0.57 (define @t5 () (@var "Vd497" $$unsorted)) % 0.37/0.57 (define @t6 () (@var "Vd493" $$unsorted)) % 0.37/0.57 (define @t7 () (@var "Vd491" $$unsorted)) % 0.37/0.57 (define @t8 () (@var "Vd492" $$unsorted)) % 0.37/0.57 (define @t9 () (@var "Vd488" $$unsorted)) % 0.37/0.57 (define @t10 () (@var "Vd486" $$unsorted)) % 0.37/0.57 (define @t11 () (@var "Vd487" $$unsorted)) % 0.37/0.57 (define @t12 () (@var "Vd456" $$unsorted)) % 0.37/0.57 (define @t13 () (@var "Vd466" $$unsorted)) % 0.37/0.57 (define @t14 () (@var "Vd465" $$unsorted)) % 0.37/0.57 (define @t15 () (@var "Vd462" $$unsorted)) % 0.37/0.57 (define @t16 () (@var "Vd461" $$unsorted)) % 0.37/0.57 (define @t17 () (@var "Vd458" $$unsorted)) % 0.37/0.57 (define @t18 () (@var "Vd457" $$unsorted)) % 0.37/0.57 (define @t19 () (tptp.greater (tptp.vmul @t18 @t12) (tptp.vmul @t17 @t12))) % 0.37/0.57 (define @t20 () (tptp.greater @t18 @t17)) % 0.37/0.57 (define @t21 () (@list @t12 @t18 @t17)) % 0.37/0.57 (define @t22 () (forall @t21 (=> @t20 @t19))) % 0.37/0.57 (define @t23 () (@var "Vd446" $$unsorted)) % 0.37/0.57 (define @t24 () (@var "Vd445" $$unsorted)) % 0.37/0.57 (define @t25 () (@var "Vd444" $$unsorted)) % 0.37/0.57 (define @t26 () (@var "Vd434" $$unsorted)) % 0.37/0.57 (define @t27 () (@var "Vd432" $$unsorted)) % 0.37/0.57 (define @t28 () (@var "Vd433" $$unsorted)) % 0.37/0.57 (define @t29 () (@var "Vd418" $$unsorted)) % 0.37/0.57 (define @t30 () (@var "Vd419" $$unsorted)) % 0.37/0.57 (define @t31 () (@var "Vd409" $$unsorted)) % 0.37/0.57 (define @t32 () (@var "Vd408" $$unsorted)) % 0.37/0.57 (define @t33 () (@var "Vd400" $$unsorted)) % 0.37/0.57 (define @t34 () (@var "Vd396" $$unsorted)) % 0.37/0.57 (define @t35 () (@var "Vd397" $$unsorted)) % 0.37/0.57 (define @t36 () (@var "Vd226" $$unsorted)) % 0.37/0.57 (define @t37 () (@var "Vd227" $$unsorted)) % 0.37/0.57 (define @t38 () (@var "Vd208" $$unsorted)) % 0.37/0.57 (define @t39 () (@var "Vd209" $$unsorted)) % 0.37/0.57 (define @t40 () (@var "Vd204" $$unsorted)) % 0.37/0.57 (define @t41 () (@var "Vd203" $$unsorted)) % 0.37/0.57 (define @t42 () (tptp.less @t41 @t40)) % 0.37/0.57 (define @t43 () (tptp.greater @t41 @t40)) % 0.37/0.57 (define @t44 () (= @t41 @t40)) % 0.37/0.57 (define @t45 () (@list @t41 @t40)) % 0.37/0.57 (define @t46 () (not @t42)) % 0.37/0.57 (define @t47 () (not @t44)) % 0.37/0.57 (define @t48 () (not @t43)) % 0.37/0.57 (define @t49 () (@var "Vd201" $$unsorted)) % 0.37/0.57 (define @t50 () (@var "Vd199" $$unsorted)) % 0.37/0.57 (define @t51 () (@var "Vd198" $$unsorted)) % 0.37/0.57 (define @t52 () (@var "Vd196" $$unsorted)) % 0.37/0.57 (define @t53 () (@var "Vd193" $$unsorted)) % 0.37/0.57 (define @t54 () (@var "Vd194" $$unsorted)) % 0.37/0.57 (define @t55 () (@var "Vd125" $$unsorted)) % 0.37/0.57 (define @t56 () (@var "Vd120" $$unsorted)) % 0.37/0.57 (define @t57 () (@var "Vd121" $$unsorted)) % 0.37/0.57 (define @t58 () (exists (@list @t55) (= @t57 (tptp.vplus @t56 @t55)))) % 0.37/0.57 (define @t59 () (@var "Vd123" $$unsorted)) % 0.37/0.57 (define @t60 () (exists (@list @t59) (= @t56 (tptp.vplus @t57 @t59)))) % 0.37/0.57 (define @t61 () (= @t56 @t57)) % 0.37/0.57 (define @t62 () (@list @t56 @t57)) % 0.37/0.57 (define @t63 () (not @t58)) % 0.37/0.57 (define @t64 () (not @t61)) % 0.37/0.57 (define @t65 () (not @t60)) % 0.37/0.57 (define @t66 () (not @t2)) % 0.37/0.57 (define @t67 () (or @t66 @t1)) % 0.37/0.57 (define @t68 () (not @t67)) % 0.37/0.57 (define @t69 () (@list true false)) % 0.37/0.57 (define @t70 () (forall @t21 (or (not @t20) @t19))) % 0.37/0.57 (assume @p1 (not @t1)) % 0.37/0.57 (assume @p2 (tptp.greater tptp.vd511 tptp.vd512)) % 0.37/0.57 (assume @p3 @t2) % 0.37/0.57 (assume @p4 (forall (@list @t4 @t5 @t3) (=> (tptp.less (tptp.vmul @t4 @t5) (tptp.vmul @t3 @t5)) (tptp.less @t4 @t3)))) % 0.37/0.57 (assume @p5 (forall (@list @t7 @t8 @t6) (=> (= (tptp.vmul @t7 @t8) (tptp.vmul @t6 @t8)) (= @t7 @t6)))) % 0.37/0.57 (assume @p6 (forall (@list @t10 @t11 @t9) (=> (tptp.greater (tptp.vmul @t10 @t11) (tptp.vmul @t9 @t11)) (tptp.greater @t10 @t9)))) % 0.37/0.57 (assume @p7 (forall (@list @t12 @t14 @t13) (=> (tptp.less @t14 @t13) (tptp.less (tptp.vmul @t14 @t12) (tptp.vmul @t13 @t12))))) % 0.37/0.57 (assume @p8 (forall (@list @t12 @t16 @t15) (=> (= @t16 @t15) (= (tptp.vmul @t16 @t12) (tptp.vmul @t15 @t12))))) % 0.37/0.57 (assume @p9 @t22) % 0.37/0.57 (assume @p10 (forall (@list @t25 @t24 @t23) (= (tptp.vmul (tptp.vmul @t25 @t24) @t23) (tptp.vmul @t25 (tptp.vmul @t24 @t23))))) % 0.37/0.57 (assume @p11 (forall (@list @t27 @t28 @t26) (= (tptp.vmul @t27 (tptp.vplus @t28 @t26)) (tptp.vplus (tptp.vmul @t27 @t28) (tptp.vmul @t27 @t26))))) % 0.37/0.57 (assume @p12 (forall (@list @t29 @t30) (= (tptp.vmul @t29 @t30) (tptp.vmul @t30 @t29)))) % 0.37/0.57 (assume @p13 (forall (@list @t32 @t31) (= (tptp.vmul (tptp.vsucc @t32) @t31) (tptp.vplus (tptp.vmul @t32 @t31) @t31)))) % 0.37/0.57 (assume @p14 (forall (@list @t33) (= (tptp.vmul tptp.v1 @t33) @t33))) % 0.37/0.57 (assume @p15 (forall (@list @t34 @t35) (and (= (tptp.vmul @t34 (tptp.vsucc @t35)) (tptp.vplus (tptp.vmul @t34 @t35) @t34)) (= (tptp.vmul @t34 tptp.v1) @t34)))) % 0.37/0.57 (assume @p16 (forall (@list @t36 @t37) (=> (tptp.less @t36 @t37) (tptp.greater @t37 @t36)))) % 0.37/0.57 (assume @p17 (forall (@list @t38 @t39) (=> (tptp.greater @t38 @t39) (tptp.less @t39 @t38)))) % 0.37/0.57 (assume @p18 (forall @t45 (or @t44 @t43 @t42))) % 0.37/0.57 (assume @p19 (forall @t45 (or @t47 @t46))) % 0.37/0.57 (assume @p20 (forall @t45 (or @t48 @t46))) % 0.37/0.57 (assume @p21 (forall @t45 (or @t47 @t48))) % 0.37/0.57 (assume @p22 (forall (@list @t51 @t50) (= (tptp.less @t50 @t51) (exists (@list @t49) (= @t51 (tptp.vplus @t50 @t49)))))) % 0.37/0.57 (assume @p23 (forall (@list @t53 @t54) (= (tptp.greater @t54 @t53) (exists (@list @t52) (= @t54 (tptp.vplus @t53 @t52)))))) % 0.37/0.57 (assume @p24 (forall @t62 (or @t61 @t60 @t58))) % 0.37/0.57 (assume @p25 (forall @t62 (or @t64 @t63))) % 0.37/0.57 (assume @p26 (forall @t62 (or @t65 @t63))) % 0.37/0.57 (assume @p27 (forall @t62 (or @t64 @t65))) % 0.37/0.57 (assume @p28 true) % 0.37/0.57 (step @p29 :rule bool-impl-elim :args (@t20 @t19)) % 0.37/0.57 (step @p30 :rule cong :premises (@p29) :args (@t22)) % 0.37/0.57 (step @p31 :rule eq_resolve :premises (@p9 @p30)) % 0.37/0.57 (step @p32 :rule cnf_or_pos :args (@t67)) % 0.37/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t1 @t66 @t68))) % 0.37/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p1 @p3) :args (@t68 @t69 (@list @t1 @t2))) % 0.37/0.57 (assume-push @p41 @t70) % 0.37/0.57 (step @p36 :rule instantiate :premises (@p31) :args ((@list tptp.vd511 tptp.vd508 tptp.vd509))) % 0.37/0.57 (step-pop @p42 :rule scope :premises (@p36)) % 0.37/0.57 (step @p37 :rule process_scope :premises (@p42) :args (@t67)) % 0.37/0.57 (step @p39 :rule implies_elim :premises (@p37)) % 0.37/0.57 (step @p40 false :rule chain_m_resolution :premises (@p39 @p34 @p31) :args (false @t69 (@list @t67 @t70))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------