%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM841+1 : 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 : n017.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 08:40:47 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM841+1 : 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 : n017.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 12:27:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.v1 $$unsorted) % 0.38/0.61 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.vd344 $$unsorted) % 0.38/0.61 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.vd347 $$unsorted) % 0.38/0.61 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.vd345 $$unsorted) % 0.38/0.61 (declare-const tptp.vd348 $$unsorted) % 0.38/0.61 (define @t1 () (tptp.vplus tptp.vd345 tptp.vd348)) % 0.38/0.61 (define @t2 () (tptp.vplus tptp.vd344 tptp.vd347)) % 0.38/0.61 (define @t3 () (tptp.greater @t2 @t1)) % 0.38/0.61 (define @t4 () (tptp.vplus tptp.vd348 tptp.vd345)) % 0.38/0.61 (define @t5 () (tptp.vplus tptp.vd347 tptp.vd345)) % 0.38/0.61 (define @t6 () (tptp.greater @t5 @t4)) % 0.38/0.61 (define @t7 () (tptp.vplus tptp.vd345 tptp.vd347)) % 0.38/0.61 (define @t8 () (tptp.greater @t2 @t7)) % 0.38/0.61 (define @t9 () (@var "Vd329" $$unsorted)) % 0.38/0.61 (define @t10 () (@var "Vd328" $$unsorted)) % 0.38/0.61 (define @t11 () (@var "Vd330" $$unsorted)) % 0.38/0.61 (define @t12 () (tptp.vplus @t9 @t11)) % 0.38/0.61 (define @t13 () (tptp.vplus @t10 @t11)) % 0.38/0.61 (define @t14 () (@list @t10 @t9 @t11)) % 0.38/0.61 (define @t15 () (@var "Vd303" $$unsorted)) % 0.38/0.61 (define @t16 () (@var "Vd302" $$unsorted)) % 0.38/0.61 (define @t17 () (tptp.vplus @t16 @t15)) % 0.38/0.61 (define @t18 () (@var "Vd301" $$unsorted)) % 0.38/0.61 (define @t19 () (tptp.vplus @t18 @t15)) % 0.38/0.61 (define @t20 () (@list @t18 @t16 @t15)) % 0.38/0.61 (define @t21 () (@var "Vd295" $$unsorted)) % 0.38/0.61 (define @t22 () (@var "Vd296" $$unsorted)) % 0.38/0.61 (define @t23 () (@var "Vd292" $$unsorted)) % 0.38/0.61 (define @t24 () (@var "Vd289" $$unsorted)) % 0.38/0.61 (define @t25 () (@var "Vd290" $$unsorted)) % 0.38/0.61 (define @t26 () (@var "Vd283" $$unsorted)) % 0.38/0.61 (define @t27 () (@var "Vd281" $$unsorted)) % 0.38/0.61 (define @t28 () (@var "Vd282" $$unsorted)) % 0.38/0.61 (define @t29 () (@var "Vd265" $$unsorted)) % 0.38/0.61 (define @t30 () (@var "Vd262" $$unsorted)) % 0.38/0.61 (define @t31 () (tptp.less @t30 @t29)) % 0.38/0.61 (define @t32 () (@var "Vd263" $$unsorted)) % 0.38/0.61 (define @t33 () (tptp.less @t30 @t32)) % 0.38/0.61 (define @t34 () (tptp.less @t32 @t29)) % 0.38/0.61 (define @t35 () (and @t34 @t33)) % 0.38/0.61 (define @t36 () (forall (@list @t30 @t32 @t29) (=> @t35 @t31))) % 0.38/0.61 (define @t37 () (@var "Vd258" $$unsorted)) % 0.38/0.61 (define @t38 () (@var "Vd259" $$unsorted)) % 0.38/0.61 (define @t39 () (@var "Vd254" $$unsorted)) % 0.38/0.61 (define @t40 () (@var "Vd255" $$unsorted)) % 0.38/0.61 (define @t41 () (@var "Vd249" $$unsorted)) % 0.38/0.61 (define @t42 () (@var "Vd250" $$unsorted)) % 0.38/0.61 (define @t43 () (@var "Vd244" $$unsorted)) % 0.38/0.61 (define @t44 () (@var "Vd245" $$unsorted)) % 0.38/0.61 (define @t45 () (@var "Vd226" $$unsorted)) % 0.38/0.61 (define @t46 () (@var "Vd227" $$unsorted)) % 0.38/0.61 (define @t47 () (@var "Vd208" $$unsorted)) % 0.38/0.61 (define @t48 () (@var "Vd209" $$unsorted)) % 0.38/0.61 (define @t49 () (tptp.less @t48 @t47)) % 0.38/0.61 (define @t50 () (tptp.greater @t47 @t48)) % 0.38/0.61 (define @t51 () (forall (@list @t47 @t48) (=> @t50 @t49))) % 0.38/0.61 (define @t52 () (@var "Vd204" $$unsorted)) % 0.38/0.61 (define @t53 () (@var "Vd203" $$unsorted)) % 0.38/0.61 (define @t54 () (tptp.less @t53 @t52)) % 0.38/0.61 (define @t55 () (tptp.greater @t53 @t52)) % 0.38/0.61 (define @t56 () (= @t53 @t52)) % 0.38/0.61 (define @t57 () (@list @t53 @t52)) % 0.38/0.61 (define @t58 () (not @t54)) % 0.38/0.61 (define @t59 () (not @t56)) % 0.38/0.61 (define @t60 () (not @t55)) % 0.38/0.61 (define @t61 () (@var "Vd201" $$unsorted)) % 0.38/0.61 (define @t62 () (@var "Vd199" $$unsorted)) % 0.38/0.61 (define @t63 () (@var "Vd198" $$unsorted)) % 0.38/0.61 (define @t64 () (@var "Vd196" $$unsorted)) % 0.38/0.61 (define @t65 () (@var "Vd193" $$unsorted)) % 0.38/0.61 (define @t66 () (@var "Vd194" $$unsorted)) % 0.38/0.61 (define @t67 () (@var "Vd125" $$unsorted)) % 0.38/0.61 (define @t68 () (@var "Vd120" $$unsorted)) % 0.38/0.61 (define @t69 () (@var "Vd121" $$unsorted)) % 0.38/0.61 (define @t70 () (exists (@list @t67) (= @t69 (tptp.vplus @t68 @t67)))) % 0.38/0.61 (define @t71 () (@var "Vd123" $$unsorted)) % 0.38/0.61 (define @t72 () (exists (@list @t71) (= @t68 (tptp.vplus @t69 @t71)))) % 0.38/0.61 (define @t73 () (= @t68 @t69)) % 0.38/0.61 (define @t74 () (@list @t68 @t69)) % 0.38/0.61 (define @t75 () (not @t70)) % 0.38/0.61 (define @t76 () (not @t73)) % 0.38/0.61 (define @t77 () (not @t72)) % 0.38/0.61 (define @t78 () (@var "Vd105" $$unsorted)) % 0.38/0.61 (define @t79 () (@var "Vd107" $$unsorted)) % 0.38/0.61 (define @t80 () (@var "Vd104" $$unsorted)) % 0.38/0.61 (define @t81 () (@var "Vd93" $$unsorted)) % 0.38/0.61 (define @t82 () (@var "Vd92" $$unsorted)) % 0.38/0.61 (define @t83 () (@var "Vd79" $$unsorted)) % 0.38/0.61 (define @t84 () (@var "Vd78" $$unsorted)) % 0.38/0.61 (define @t85 () (@var "Vd69" $$unsorted)) % 0.38/0.61 (define @t86 () (@var "Vd68" $$unsorted)) % 0.38/0.61 (define @t87 () (@var "Vd59" $$unsorted)) % 0.38/0.61 (define @t88 () (@var "Vd48" $$unsorted)) % 0.38/0.61 (define @t89 () (@var "Vd47" $$unsorted)) % 0.38/0.61 (define @t90 () (@var "Vd46" $$unsorted)) % 0.38/0.61 (define @t91 () (@var "Vd42" $$unsorted)) % 0.38/0.61 (define @t92 () (@var "Vd43" $$unsorted)) % 0.38/0.61 (define @t93 () (@var "Vd24" $$unsorted)) % 0.38/0.61 (define @t94 () (@var "Vd16" $$unsorted)) % 0.38/0.61 (define @t95 () (@var "Vd8" $$unsorted)) % 0.38/0.61 (define @t96 () (@var "Vd7" $$unsorted)) % 0.38/0.61 (define @t97 () (@var "Vd4" $$unsorted)) % 0.38/0.61 (define @t98 () (@var "Vd3" $$unsorted)) % 0.38/0.61 (define @t99 () (@var "Vd1" $$unsorted)) % 0.38/0.61 (define @t100 () (tptp.less @t5 @t4)) % 0.38/0.61 (define @t101 () (not @t100)) % 0.38/0.61 (define @t102 () (not @t6)) % 0.38/0.61 (define @t103 () (or @t102 @t101)) % 0.38/0.61 (define @t104 () (@list false false)) % 0.38/0.61 (define @t105 () (not @t33)) % 0.38/0.61 (define @t106 () (not @t34)) % 0.38/0.61 (define @t107 () (tptp.less @t7 @t2)) % 0.38/0.61 (define @t108 () (not @t8)) % 0.38/0.61 (define @t109 () (or @t108 @t107)) % 0.38/0.61 (define @t110 () (not @t107)) % 0.38/0.61 (define @t111 () (= @t2 @t1)) % 0.38/0.61 (define @t112 () (not @t111)) % 0.38/0.61 (define @t113 () (= @t5 @t7)) % 0.38/0.61 (define @t114 () (not @t113)) % 0.38/0.61 (define @t115 () (= @t1 @t4)) % 0.38/0.61 (define @t116 () (not @t115)) % 0.38/0.61 (define @t117 () (not @t101)) % 0.38/0.61 (define @t118 () (= false true)) % 0.38/0.61 (define @t119 () (and @t107 @t113 @t111 @t115 @t101)) % 0.38/0.61 (define @t120 () (tptp.less @t2 @t1)) % 0.38/0.61 (define @t121 () (or @t111 @t3 @t120)) % 0.38/0.61 (define @t122 () (tptp.less @t7 @t1)) % 0.38/0.61 (define @t123 () (not @t120)) % 0.38/0.61 (define @t124 () (or @t123 @t110 @t122)) % 0.38/0.61 (define @t125 () (not @t122)) % 0.38/0.61 (define @t126 () (and @t122 @t113 @t115 @t101)) % 0.38/0.61 (assume @p1 (not @t3)) % 0.38/0.61 (assume @p2 (= @t4 @t1)) % 0.38/0.61 (assume @p3 @t6) % 0.38/0.61 (assume @p4 (= @t7 @t5)) % 0.38/0.61 (assume @p5 @t8) % 0.38/0.61 (assume @p6 (tptp.greater tptp.vd347 tptp.vd348)) % 0.38/0.61 (assume @p7 (tptp.greater tptp.vd344 tptp.vd345)) % 0.38/0.61 (assume @p8 (forall @t14 (=> (tptp.less @t13 @t12) (tptp.less @t10 @t9)))) % 0.38/0.61 (assume @p9 (forall @t14 (=> (= @t13 @t12) (= @t10 @t9)))) % 0.38/0.61 (assume @p10 (forall @t14 (=> (tptp.greater @t13 @t12) (tptp.greater @t10 @t9)))) % 0.38/0.61 (assume @p11 (forall @t20 (=> (tptp.less @t18 @t16) (tptp.less @t19 @t17)))) % 0.38/0.61 (assume @p12 (forall @t20 (=> (= @t18 @t16) (= @t19 @t17)))) % 0.38/0.61 (assume @p13 (forall @t20 (=> (tptp.greater @t18 @t16) (tptp.greater @t19 @t17)))) % 0.38/0.61 (assume @p14 (forall (@list @t21 @t22) (tptp.greater (tptp.vplus @t21 @t22) @t21))) % 0.38/0.61 (assume @p15 (forall (@list @t24 @t25 @t23) (=> (and (tptp.leq @t25 @t23) (tptp.leq @t24 @t25)) (tptp.leq @t24 @t23)))) % 0.38/0.61 (assume @p16 (forall (@list @t27 @t28 @t26) (=> (or (and (tptp.less @t28 @t26) (tptp.leq @t27 @t28)) (and (tptp.leq @t28 @t26) (tptp.less @t27 @t28))) (tptp.less @t27 @t26)))) % 0.38/0.61 (assume @p17 @t36) % 0.38/0.61 (assume @p18 (forall (@list @t37 @t38) (=> (tptp.leq @t37 @t38) (tptp.geq @t38 @t37)))) % 0.38/0.61 (assume @p19 (forall (@list @t39 @t40) (=> (tptp.geq @t39 @t40) (tptp.leq @t40 @t39)))) % 0.38/0.61 (assume @p20 (forall (@list @t41 @t42) (= (tptp.leq @t42 @t41) (or (tptp.less @t42 @t41) (= @t42 @t41))))) % 0.38/0.61 (assume @p21 (forall (@list @t43 @t44) (= (tptp.geq @t44 @t43) (or (tptp.greater @t44 @t43) (= @t44 @t43))))) % 0.38/0.61 (assume @p22 (forall (@list @t45 @t46) (=> (tptp.less @t45 @t46) (tptp.greater @t46 @t45)))) % 0.38/0.61 (assume @p23 @t51) % 0.38/0.61 (assume @p24 (forall @t57 (or @t56 @t55 @t54))) % 0.38/0.61 (assume @p25 (forall @t57 (or @t59 @t58))) % 0.38/0.61 (assume @p26 (forall @t57 (or @t60 @t58))) % 0.38/0.61 (assume @p27 (forall @t57 (or @t59 @t60))) % 0.38/0.61 (assume @p28 (forall (@list @t63 @t62) (= (tptp.less @t62 @t63) (exists (@list @t61) (= @t63 (tptp.vplus @t62 @t61)))))) % 0.38/0.61 (assume @p29 (forall (@list @t65 @t66) (= (tptp.greater @t66 @t65) (exists (@list @t64) (= @t66 (tptp.vplus @t65 @t64)))))) % 0.38/0.61 (assume @p30 (forall @t74 (or @t73 @t72 @t70))) % 0.38/0.61 (assume @p31 (forall @t74 (or @t76 @t75))) % 0.38/0.61 (assume @p32 (forall @t74 (or @t77 @t75))) % 0.38/0.61 (assume @p33 (forall @t74 (or @t76 @t77))) % 0.38/0.61 (assume @p34 (forall (@list @t80 @t78) (=> (not (= @t80 @t78)) (forall (@list @t79) (not (= (tptp.vplus @t79 @t80) (tptp.vplus @t79 @t78))))))) % 0.38/0.61 (assume @p35 (forall (@list @t82 @t81) (not (= @t81 (tptp.vplus @t82 @t81))))) % 0.38/0.61 (assume @p36 (forall (@list @t84 @t83) (= (tptp.vplus @t83 @t84) (tptp.vplus @t84 @t83)))) % 0.38/0.61 (assume @p37 (forall (@list @t86 @t85) (= (tptp.vplus (tptp.vsucc @t86) @t85) (tptp.vsucc (tptp.vplus @t86 @t85))))) % 0.38/0.61 (assume @p38 (forall (@list @t87) (= (tptp.vplus tptp.v1 @t87) (tptp.vsucc @t87)))) % 0.38/0.61 (assume @p39 (forall (@list @t90 @t89 @t88) (= (tptp.vplus (tptp.vplus @t90 @t89) @t88) (tptp.vplus @t90 (tptp.vplus @t89 @t88))))) % 0.38/0.61 (assume @p40 (forall (@list @t91 @t92) (and (= (tptp.vplus @t91 (tptp.vsucc @t92)) (tptp.vsucc (tptp.vplus @t91 @t92))) (= (tptp.vplus @t91 tptp.v1) (tptp.vsucc @t91))))) % 0.38/0.61 (assume @p41 (forall (@list @t93) (=> (not (= @t93 tptp.v1)) (= @t93 (tptp.vsucc (tptp.vskolem2 @t93)))))) % 0.38/0.61 (assume @p42 (forall (@list @t94) (not (= (tptp.vsucc @t94) @t94)))) % 0.38/0.61 (assume @p43 (forall (@list @t96 @t95) (=> (not (= @t96 @t95)) (not (= (tptp.vsucc @t96) (tptp.vsucc @t95)))))) % 0.38/0.61 (assume @p44 (forall (@list @t98 @t97) (=> (= (tptp.vsucc @t98) (tptp.vsucc @t97)) (= @t98 @t97)))) % 0.38/0.61 (assume @p45 (forall (@list @t99) (not (= (tptp.vsucc @t99) tptp.v1)))) % 0.38/0.61 (assume @p46 true) % 0.38/0.61 (step @p47 :rule symm :premises (@p2)) % 0.38/0.61 (step @p48 :rule symm :premises (@p4)) % 0.38/0.61 (step @p49 :rule instantiate :premises (@p26) :args ((@list @t5 @t4))) % 0.38/0.61 (step @p50 :rule cnf_or_pos :args (@t103)) % 0.38/0.61 (step @p51 :rule reordering :premises (@p50) :args ((or @t102 @t101 (not @t103)))) % 0.38/0.61 (step @p52 :rule chain_m_resolution :premises (@p51 @p3 @p49) :args (@t101 @t104 (@list @t6 @t103))) % 0.38/0.61 (step @p53 :rule aci_norm :args ((= (or (or @t106 @t105) @t31) (or @t106 @t105 @t31)))) % 0.38/0.61 (step @p54 :rule refl :args (@t31)) % 0.38/0.61 (step @p55 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 0.38/0.61 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t35) @t31))) % 0.38/0.61 (step @p57 :rule trans :premises (@p56 @p53)) % 0.38/0.61 (step @p58 :rule bool-impl-elim :args (@t35 @t31)) % 0.38/0.61 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.61 (step @p60 :rule cong :premises (@p59) :args (@t36)) % 0.38/0.61 (step @p61 :rule eq_resolve :premises (@p17 @p60)) % 0.38/0.61 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t7 @t2 @t1))) % 0.38/0.61 (step @p63 :rule instantiate :premises (@p24) :args ((@list @t2 @t1))) % 0.38/0.61 (step @p64 :rule bool-impl-elim :args (@t50 @t49)) % 0.38/0.61 (step @p65 :rule cong :premises (@p64) :args (@t51)) % 0.38/0.61 (step @p66 :rule eq_resolve :premises (@p23 @p65)) % 0.38/0.61 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t2 @t7))) % 0.38/0.61 (step @p68 :rule cnf_or_pos :args (@t109)) % 0.38/0.61 (step @p69 :rule reordering :premises (@p68) :args ((or @t108 @t107 (not @t109)))) % 0.38/0.61 (step @p70 :rule chain_m_resolution :premises (@p69 @p5 @p67) :args (@t107 @t104 (@list @t8 @t109))) % 0.38/0.61 (step @p71 :rule bool-double-not-elim :args (@t100)) % 0.38/0.61 (step @p72 :rule refl :args (@t110)) % 0.38/0.61 (step @p73 :rule refl :args (@t112)) % 0.38/0.61 (step @p74 :rule refl :args (@t114)) % 0.38/0.61 (step @p75 :rule refl :args (@t116)) % 0.38/0.61 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73 @p72 @p71) :args ((or @t116 @t114 @t112 @t110 @t117))) % 0.38/0.61 (assume-push @p151 @t107) % 0.38/0.61 (assume-push @p152 @t113) % 0.38/0.61 (assume-push @p153 @t111) % 0.38/0.61 (assume-push @p154 @t115) % 0.38/0.61 (assume-push @p155 @t101) % 0.38/0.61 (step @p82 :rule evaluate :args (@t118)) % 0.38/0.61 (step @p83 :rule true_intro :premises (@p70)) % 0.38/0.61 (step @p84 :rule symm :premises (@p153)) % 0.38/0.61 (step @p85 :rule trans :premises (@p2 @p84)) % 0.38/0.61 (step @p86 :rule cong :premises (@p48 @p85) :args (@t100)) % 0.38/0.61 (step @p87 :rule false_intro :premises (@p52)) % 0.38/0.61 (step @p88 :rule symm :premises (@p87)) % 0.38/0.61 (step @p89 :rule trans :premises (@p88 @p86 @p83)) % 0.38/0.61 (step @p90 false :rule eq_resolve :premises (@p89 @p82)) % 0.38/0.61 (step-pop @p156 :rule scope :premises (@p90)) % 0.38/0.61 (step-pop @p157 :rule scope :premises (@p156)) % 0.38/0.61 (step-pop @p158 :rule scope :premises (@p157)) % 0.38/0.61 (step-pop @p159 :rule scope :premises (@p158)) % 0.38/0.61 (step-pop @p160 :rule scope :premises (@p159)) % 0.38/0.61 (step @p91 :rule process_scope :premises (@p160) :args (false)) % 0.38/0.61 (assume-push @p161 @t115) % 0.38/0.61 (assume-push @p162 @t113) % 0.38/0.61 (assume-push @p163 @t111) % 0.38/0.61 (assume-push @p164 @t107) % 0.38/0.61 (assume-push @p165 @t101) % 0.38/0.61 (step @p102 :rule and_intro :premises (@p70 @p48 @p163 @p47 @p52)) % 0.38/0.61 (step-pop @p166 :rule scope :premises (@p102)) % 0.38/0.61 (step-pop @p167 :rule scope :premises (@p166)) % 0.38/0.61 (step-pop @p168 :rule scope :premises (@p167)) % 0.38/0.61 (step-pop @p169 :rule scope :premises (@p168)) % 0.38/0.61 (step-pop @p170 :rule scope :premises (@p169)) % 0.38/0.61 (step @p103 :rule process_scope :premises (@p170) :args (@t119)) % 0.38/0.61 (step @p109 :rule implies_elim :premises (@p103)) % 0.38/0.61 (step @p110 :rule resolution :premises (@p109 @p91) :args (true @t119)) % 0.38/0.61 (step @p111 :rule not_and :premises (@p110)) % 0.38/0.61 (step @p112 :rule eq_resolve :premises (@p111 @p76)) % 0.38/0.61 (step @p113 :rule reordering :premises (@p112) :args ((or @t116 @t114 @t100 @t112 @t110))) % 0.38/0.61 (step @p114 :rule chain_m_resolution :premises (@p113 @p47 @p48 @p52 @p70) :args (@t112 (@list false false true false) (@list @t115 @t113 @t100 @t107))) % 0.38/0.61 (step @p115 :rule cnf_or_pos :args (@t121)) % 0.38/0.61 (step @p116 :rule reordering :premises (@p115) :args ((or @t3 @t111 @t120 (not @t121)))) % 0.38/0.61 (step @p117 :rule chain_m_resolution :premises (@p116 @p1 @p114 @p63) :args (@t120 (@list true true false) (@list @t3 @t111 @t121))) % 0.38/0.61 (step @p118 :rule cnf_or_pos :args (@t124)) % 0.38/0.61 (step @p119 :rule reordering :premises (@p118) :args ((or @t110 @t123 @t122 (not @t124)))) % 0.38/0.61 (step @p120 :rule chain_m_resolution :premises (@p119 @p70 @p117 @p62) :args (@t122 (@list false false false) (@list @t107 @t120 @t124))) % 0.38/0.61 (step @p121 :rule refl :args (@t125)) % 0.38/0.61 (step @p122 :rule nary_cong :premises (@p75 @p74 @p71 @p121) :args ((or @t116 @t114 @t117 @t125))) % 0.38/0.61 (assume-push @p171 @t122) % 0.38/0.61 (assume-push @p172 @t113) % 0.38/0.61 (assume-push @p173 @t115) % 0.38/0.61 (assume-push @p174 @t101) % 0.38/0.61 (step @p82 :rule evaluate :args (@t118)) % 0.38/0.61 (step @p127 :rule true_intro :premises (@p171)) % 0.38/0.61 (step @p128 :rule cong :premises (@p48 @p2) :args (@t100)) % 0.38/0.61 (step @p87 :rule false_intro :premises (@p52)) % 0.38/0.61 (step @p88 :rule symm :premises (@p87)) % 0.38/0.61 (step @p129 :rule trans :premises (@p88 @p128 @p127)) % 0.38/0.61 (step @p130 false :rule eq_resolve :premises (@p129 @p82)) % 0.38/0.61 (step-pop @p175 :rule scope :premises (@p130)) % 0.38/0.61 (step-pop @p176 :rule scope :premises (@p175)) % 0.38/0.61 (step-pop @p177 :rule scope :premises (@p176)) % 0.38/0.61 (step-pop @p178 :rule scope :premises (@p177)) % 0.38/0.61 (step @p131 :rule process_scope :premises (@p178) :args (false)) % 0.38/0.61 (assume-push @p179 @t115) % 0.38/0.61 (assume-push @p180 @t113) % 0.38/0.61 (assume-push @p181 @t101) % 0.38/0.61 (assume-push @p182 @t122) % 0.38/0.61 (step @p140 :rule and_intro :premises (@p182 @p48 @p47 @p52)) % 0.38/0.61 (step-pop @p183 :rule scope :premises (@p140)) % 0.38/0.61 (step-pop @p184 :rule scope :premises (@p183)) % 0.38/0.61 (step-pop @p185 :rule scope :premises (@p184)) % 0.38/0.61 (step-pop @p186 :rule scope :premises (@p185)) % 0.38/0.61 (step @p141 :rule process_scope :premises (@p186) :args (@t126)) % 0.38/0.61 (step @p146 :rule implies_elim :premises (@p141)) % 0.38/0.61 (step @p147 :rule resolution :premises (@p146 @p131) :args (true @t126)) % 0.38/0.61 (step @p148 :rule not_and :premises (@p147)) % 0.38/0.61 (step @p149 :rule eq_resolve :premises (@p148 @p122)) % 0.38/0.61 (step @p150 false :rule chain_m_resolution :premises (@p149 @p120 @p52 @p48 @p47) :args (false (@list false true false false) (@list @t122 @t100 @t113 @t115))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------