%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM840+1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM840+1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 12:29:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.39 % SZS status Theorem % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-sort $$unsorted 0) % 0.15/0.39 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.v1 $$unsorted) % 0.15/0.39 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.vd330 $$unsorted) % 0.15/0.39 (declare-const tptp.vd328 $$unsorted) % 0.15/0.39 (declare-const tptp.vd329 $$unsorted) % 0.15/0.39 (define @t1 () (tptp.less tptp.vd328 tptp.vd329)) % 0.15/0.39 (define @t2 () (tptp.vplus tptp.vd329 tptp.vd330)) % 0.15/0.39 (define @t3 () (tptp.vplus tptp.vd328 tptp.vd330)) % 0.15/0.39 (define @t4 () (tptp.less @t3 @t2)) % 0.15/0.39 (define @t5 () (= tptp.vd328 tptp.vd329)) % 0.15/0.39 (define @t6 () (tptp.greater @t3 @t2)) % 0.15/0.39 (define @t7 () (@var "Vd303" $$unsorted)) % 0.15/0.39 (define @t8 () (@var "Vd302" $$unsorted)) % 0.15/0.39 (define @t9 () (tptp.vplus @t8 @t7)) % 0.15/0.39 (define @t10 () (@var "Vd301" $$unsorted)) % 0.15/0.39 (define @t11 () (tptp.vplus @t10 @t7)) % 0.15/0.39 (define @t12 () (tptp.less @t11 @t9)) % 0.15/0.39 (define @t13 () (tptp.less @t10 @t8)) % 0.15/0.39 (define @t14 () (@list @t10 @t8 @t7)) % 0.15/0.39 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.15/0.39 (define @t16 () (@var "Vd295" $$unsorted)) % 0.15/0.39 (define @t17 () (@var "Vd296" $$unsorted)) % 0.15/0.39 (define @t18 () (@var "Vd292" $$unsorted)) % 0.15/0.39 (define @t19 () (@var "Vd289" $$unsorted)) % 0.15/0.39 (define @t20 () (@var "Vd290" $$unsorted)) % 0.15/0.39 (define @t21 () (@var "Vd283" $$unsorted)) % 0.15/0.39 (define @t22 () (@var "Vd281" $$unsorted)) % 0.15/0.39 (define @t23 () (@var "Vd282" $$unsorted)) % 0.15/0.39 (define @t24 () (@var "Vd265" $$unsorted)) % 0.15/0.39 (define @t25 () (@var "Vd262" $$unsorted)) % 0.15/0.39 (define @t26 () (@var "Vd263" $$unsorted)) % 0.15/0.39 (define @t27 () (@var "Vd258" $$unsorted)) % 0.15/0.39 (define @t28 () (@var "Vd259" $$unsorted)) % 0.15/0.39 (define @t29 () (@var "Vd254" $$unsorted)) % 0.15/0.39 (define @t30 () (@var "Vd255" $$unsorted)) % 0.15/0.39 (define @t31 () (@var "Vd249" $$unsorted)) % 0.15/0.39 (define @t32 () (@var "Vd250" $$unsorted)) % 0.15/0.39 (define @t33 () (@var "Vd244" $$unsorted)) % 0.15/0.39 (define @t34 () (@var "Vd245" $$unsorted)) % 0.15/0.39 (define @t35 () (@var "Vd226" $$unsorted)) % 0.15/0.39 (define @t36 () (@var "Vd227" $$unsorted)) % 0.15/0.39 (define @t37 () (tptp.greater @t36 @t35)) % 0.15/0.39 (define @t38 () (tptp.less @t35 @t36)) % 0.15/0.39 (define @t39 () (forall (@list @t35 @t36) (=> @t38 @t37))) % 0.15/0.39 (define @t40 () (@var "Vd208" $$unsorted)) % 0.15/0.39 (define @t41 () (@var "Vd209" $$unsorted)) % 0.15/0.39 (define @t42 () (tptp.less @t41 @t40)) % 0.15/0.39 (define @t43 () (tptp.greater @t40 @t41)) % 0.15/0.39 (define @t44 () (forall (@list @t40 @t41) (=> @t43 @t42))) % 0.15/0.39 (define @t45 () (@var "Vd204" $$unsorted)) % 0.15/0.39 (define @t46 () (@var "Vd203" $$unsorted)) % 0.15/0.39 (define @t47 () (tptp.less @t46 @t45)) % 0.15/0.39 (define @t48 () (tptp.greater @t46 @t45)) % 0.15/0.39 (define @t49 () (= @t46 @t45)) % 0.15/0.39 (define @t50 () (@list @t46 @t45)) % 0.15/0.39 (define @t51 () (forall @t50 (or @t49 @t48 @t47))) % 0.15/0.39 (define @t52 () (not @t47)) % 0.15/0.39 (define @t53 () (not @t49)) % 0.15/0.39 (define @t54 () (not @t48)) % 0.15/0.39 (define @t55 () (@var "Vd201" $$unsorted)) % 0.15/0.39 (define @t56 () (@var "Vd199" $$unsorted)) % 0.15/0.39 (define @t57 () (@var "Vd198" $$unsorted)) % 0.15/0.39 (define @t58 () (@var "Vd196" $$unsorted)) % 0.15/0.39 (define @t59 () (@var "Vd193" $$unsorted)) % 0.15/0.39 (define @t60 () (@var "Vd194" $$unsorted)) % 0.15/0.39 (define @t61 () (= @t60 (tptp.vplus @t59 @t58))) % 0.15/0.39 (define @t62 () (@list @t58)) % 0.15/0.39 (define @t63 () (exists @t62 @t61)) % 0.15/0.39 (define @t64 () (tptp.greater @t60 @t59)) % 0.15/0.39 (define @t65 () (= @t64 @t63)) % 0.15/0.39 (define @t66 () (forall (@list @t59 @t60) @t65)) % 0.15/0.39 (define @t67 () (@var "Vd125" $$unsorted)) % 0.15/0.39 (define @t68 () (@var "Vd120" $$unsorted)) % 0.15/0.39 (define @t69 () (@var "Vd121" $$unsorted)) % 0.15/0.39 (define @t70 () (exists (@list @t67) (= @t69 (tptp.vplus @t68 @t67)))) % 0.15/0.39 (define @t71 () (@var "Vd123" $$unsorted)) % 0.15/0.39 (define @t72 () (exists (@list @t71) (= @t68 (tptp.vplus @t69 @t71)))) % 0.15/0.39 (define @t73 () (= @t68 @t69)) % 0.15/0.39 (define @t74 () (@list @t68 @t69)) % 0.15/0.39 (define @t75 () (not @t70)) % 0.15/0.39 (define @t76 () (not @t73)) % 0.15/0.39 (define @t77 () (not @t72)) % 0.15/0.39 (define @t78 () (@var "Vd105" $$unsorted)) % 0.15/0.39 (define @t79 () (@var "Vd107" $$unsorted)) % 0.15/0.39 (define @t80 () (@var "Vd104" $$unsorted)) % 0.15/0.39 (define @t81 () (forall (@list @t79) (not (= (tptp.vplus @t79 @t80) (tptp.vplus @t79 @t78))))) % 0.15/0.39 (define @t82 () (= @t80 @t78)) % 0.15/0.39 (define @t83 () (not @t82)) % 0.15/0.39 (define @t84 () (@list @t80 @t78)) % 0.15/0.39 (define @t85 () (forall @t84 (=> @t83 @t81))) % 0.15/0.39 (define @t86 () (@var "Vd93" $$unsorted)) % 0.15/0.39 (define @t87 () (@var "Vd92" $$unsorted)) % 0.15/0.39 (define @t88 () (@var "Vd79" $$unsorted)) % 0.15/0.39 (define @t89 () (@var "Vd78" $$unsorted)) % 0.15/0.39 (define @t90 () (@var "Vd69" $$unsorted)) % 0.15/0.39 (define @t91 () (@var "Vd68" $$unsorted)) % 0.15/0.39 (define @t92 () (@var "Vd59" $$unsorted)) % 0.15/0.39 (define @t93 () (@var "Vd48" $$unsorted)) % 0.15/0.39 (define @t94 () (@var "Vd47" $$unsorted)) % 0.15/0.39 (define @t95 () (@var "Vd46" $$unsorted)) % 0.15/0.39 (define @t96 () (@var "Vd42" $$unsorted)) % 0.15/0.39 (define @t97 () (@var "Vd43" $$unsorted)) % 0.15/0.39 (define @t98 () (@var "Vd24" $$unsorted)) % 0.15/0.39 (define @t99 () (@var "Vd16" $$unsorted)) % 0.15/0.39 (define @t100 () (@var "Vd8" $$unsorted)) % 0.15/0.39 (define @t101 () (@var "Vd7" $$unsorted)) % 0.15/0.39 (define @t102 () (@var "Vd4" $$unsorted)) % 0.15/0.39 (define @t103 () (@var "Vd3" $$unsorted)) % 0.15/0.39 (define @t104 () (@var "Vd1" $$unsorted)) % 0.15/0.39 (define @t105 () (forall @t62 (not (= @t2 (tptp.vplus tptp.vd329 @t58))))) % 0.15/0.39 (define @t106 () (not @t105)) % 0.15/0.39 (define @t107 () (tptp.greater @t2 tptp.vd329)) % 0.15/0.39 (define @t108 () (= @t107 @t106)) % 0.15/0.39 (define @t109 () (@list false false)) % 0.15/0.39 (define @t110 () (@quantifiers_skolemize @t105 0)) % 0.15/0.39 (define @t111 () (= @t2 (tptp.vplus tptp.vd329 @t110))) % 0.15/0.39 (define @t112 () (not @t111)) % 0.15/0.39 (define @t113 () (not @t112)) % 0.15/0.39 (define @t114 () (tptp.less tptp.vd329 tptp.vd328)) % 0.15/0.39 (define @t115 () (tptp.greater tptp.vd329 tptp.vd328)) % 0.15/0.39 (define @t116 () (or (= tptp.vd329 tptp.vd328) @t115 @t114)) % 0.15/0.39 (define @t117 () (@list tptp.vd329 tptp.vd328)) % 0.15/0.39 (define @t118 () (or @t5 @t115 @t114)) % 0.15/0.39 (define @t119 () (not @t115)) % 0.15/0.39 (define @t120 () (or @t119 @t1)) % 0.15/0.39 (define @t121 () (@list true false)) % 0.15/0.39 (define @t122 () (not @t4)) % 0.15/0.39 (define @t123 () (not @t6)) % 0.15/0.39 (define @t124 () (or @t123 @t122)) % 0.15/0.39 (define @t125 () (tptp.less @t2 @t3)) % 0.15/0.39 (define @t126 () (not @t125)) % 0.15/0.39 (define @t127 () (or @t126 @t6)) % 0.15/0.39 (define @t128 () (not @t114)) % 0.15/0.39 (define @t129 () (or @t128 @t125)) % 0.15/0.39 (define @t130 () (@var "BOUND_VARIABLE_7887" $$unsorted)) % 0.15/0.39 (define @t131 () (not (= (tptp.vplus @t130 @t80) (tptp.vplus @t130 @t78)))) % 0.15/0.39 (define @t132 () (or @t82 @t131)) % 0.15/0.39 (define @t133 () (@list @t130)) % 0.15/0.39 (define @t134 () (forall @t133 @t132)) % 0.15/0.39 (define @t135 () (forall @t133 @t131)) % 0.15/0.39 (define @t136 () (or @t82 @t135)) % 0.15/0.39 (define @t137 () (= tptp.vd330 @t110)) % 0.15/0.39 (define @t138 () (or @t137 @t112)) % 0.15/0.39 (assume @p1 (not @t1)) % 0.15/0.39 (assume @p2 @t4) % 0.15/0.39 (assume @p3 (=> (= @t3 @t2) @t5)) % 0.15/0.39 (assume @p4 (=> @t6 (tptp.greater tptp.vd328 tptp.vd329))) % 0.15/0.39 (assume @p5 @t15) % 0.15/0.39 (assume @p6 (forall @t14 (=> (= @t10 @t8) (= @t11 @t9)))) % 0.15/0.39 (assume @p7 (forall @t14 (=> (tptp.greater @t10 @t8) (tptp.greater @t11 @t9)))) % 0.15/0.39 (assume @p8 (forall (@list @t16 @t17) (tptp.greater (tptp.vplus @t16 @t17) @t16))) % 0.15/0.39 (assume @p9 (forall (@list @t19 @t20 @t18) (=> (and (tptp.leq @t20 @t18) (tptp.leq @t19 @t20)) (tptp.leq @t19 @t18)))) % 0.15/0.39 (assume @p10 (forall (@list @t22 @t23 @t21) (=> (or (and (tptp.less @t23 @t21) (tptp.leq @t22 @t23)) (and (tptp.leq @t23 @t21) (tptp.less @t22 @t23))) (tptp.less @t22 @t21)))) % 0.15/0.39 (assume @p11 (forall (@list @t25 @t26 @t24) (=> (and (tptp.less @t26 @t24) (tptp.less @t25 @t26)) (tptp.less @t25 @t24)))) % 0.15/0.39 (assume @p12 (forall (@list @t27 @t28) (=> (tptp.leq @t27 @t28) (tptp.geq @t28 @t27)))) % 0.15/0.39 (assume @p13 (forall (@list @t29 @t30) (=> (tptp.geq @t29 @t30) (tptp.leq @t30 @t29)))) % 0.15/0.39 (assume @p14 (forall (@list @t31 @t32) (= (tptp.leq @t32 @t31) (or (tptp.less @t32 @t31) (= @t32 @t31))))) % 0.15/0.39 (assume @p15 (forall (@list @t33 @t34) (= (tptp.geq @t34 @t33) (or (tptp.greater @t34 @t33) (= @t34 @t33))))) % 0.15/0.39 (assume @p16 @t39) % 0.15/0.39 (assume @p17 @t44) % 0.15/0.39 (assume @p18 @t51) % 0.15/0.39 (assume @p19 (forall @t50 (or @t53 @t52))) % 0.15/0.39 (assume @p20 (forall @t50 (or @t54 @t52))) % 0.15/0.39 (assume @p21 (forall @t50 (or @t53 @t54))) % 0.15/0.39 (assume @p22 (forall (@list @t57 @t56) (= (tptp.less @t56 @t57) (exists (@list @t55) (= @t57 (tptp.vplus @t56 @t55)))))) % 0.15/0.39 (assume @p23 @t66) % 0.15/0.39 (assume @p24 (forall @t74 (or @t73 @t72 @t70))) % 0.15/0.39 (assume @p25 (forall @t74 (or @t76 @t75))) % 0.15/0.39 (assume @p26 (forall @t74 (or @t77 @t75))) % 0.15/0.39 (assume @p27 (forall @t74 (or @t76 @t77))) % 0.15/0.39 (assume @p28 @t85) % 0.15/0.39 (assume @p29 (forall (@list @t87 @t86) (not (= @t86 (tptp.vplus @t87 @t86))))) % 0.15/0.39 (assume @p30 (forall (@list @t89 @t88) (= (tptp.vplus @t88 @t89) (tptp.vplus @t89 @t88)))) % 0.15/0.39 (assume @p31 (forall (@list @t91 @t90) (= (tptp.vplus (tptp.vsucc @t91) @t90) (tptp.vsucc (tptp.vplus @t91 @t90))))) % 0.15/0.39 (assume @p32 (forall (@list @t92) (= (tptp.vplus tptp.v1 @t92) (tptp.vsucc @t92)))) % 0.15/0.39 (assume @p33 (forall (@list @t95 @t94 @t93) (= (tptp.vplus (tptp.vplus @t95 @t94) @t93) (tptp.vplus @t95 (tptp.vplus @t94 @t93))))) % 0.15/0.39 (assume @p34 (forall (@list @t96 @t97) (and (= (tptp.vplus @t96 (tptp.vsucc @t97)) (tptp.vsucc (tptp.vplus @t96 @t97))) (= (tptp.vplus @t96 tptp.v1) (tptp.vsucc @t96))))) % 0.15/0.39 (assume @p35 (forall (@list @t98) (=> (not (= @t98 tptp.v1)) (= @t98 (tptp.vsucc (tptp.vskolem2 @t98)))))) % 0.15/0.39 (assume @p36 (forall (@list @t99) (not (= (tptp.vsucc @t99) @t99)))) % 0.15/0.39 (assume @p37 (forall (@list @t101 @t100) (=> (not (= @t101 @t100)) (not (= (tptp.vsucc @t101) (tptp.vsucc @t100)))))) % 0.15/0.39 (assume @p38 (forall (@list @t103 @t102) (=> (= (tptp.vsucc @t103) (tptp.vsucc @t102)) (= @t103 @t102)))) % 0.15/0.39 (assume @p39 (forall (@list @t104) (not (= (tptp.vsucc @t104) tptp.v1)))) % 0.15/0.39 (assume @p40 true) % 0.15/0.39 (step @p41 :rule evaluate :args ((= false true))) % 0.15/0.39 (step @p42 :rule true_intro :premises (@p2)) % 0.15/0.39 (step @p43 :rule exists-elim :args ((= @t63 (not (forall @t62 (not @t61)))))) % 0.15/0.39 (step @p44 :rule refl :args (@t64)) % 0.15/0.39 (step @p45 :rule cong :premises (@p44 @p43) :args (@t65)) % 0.15/0.39 (step @p46 :rule cong :premises (@p45) :args (@t66)) % 0.15/0.39 (step @p47 :rule eq_resolve :premises (@p23 @p46)) % 0.15/0.39 (step @p48 :rule instantiate :premises (@p47) :args ((@list tptp.vd329 @t2))) % 0.15/0.39 (step @p49 :rule instantiate :premises (@p8) :args ((@list tptp.vd329 tptp.vd330))) % 0.15/0.39 (step @p50 :rule cnf_equiv_pos1 :args (@t108)) % 0.15/0.39 (step @p51 :rule reordering :premises (@p50) :args ((or (not @t107) @t106 (not @t108)))) % 0.15/0.39 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48) :args (@t106 @t109 (@list @t107 @t108))) % 0.15/0.39 (step @p53 :rule refl :args (@t111)) % 0.15/0.39 (step @p54 :rule bool-double-not-elim :args (@t105)) % 0.15/0.39 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t106) @t111))) % 0.15/0.39 (step @p56 :rule bool-double-not-elim :args (@t111)) % 0.15/0.39 (step @p57 :rule refl :args (@t106)) % 0.15/0.39 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t106 @t113))) % 0.15/0.39 (assume-push @p141 @t106) % 0.15/0.39 (step @p60 :rule skolemize :premises (@p52)) % 0.15/0.39 (step-pop @p142 :rule scope :premises (@p60)) % 0.15/0.39 (step @p61 :rule process_scope :premises (@p142) :args (@t113)) % 0.15/0.39 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.15/0.39 (step @p64 :rule implies_elim :premises (@p63)) % 0.15/0.39 (step @p65 :rule eq_resolve :premises (@p64 @p55)) % 0.15/0.39 (step @p66 :rule chain_m_resolution :premises (@p65 @p52) :args (@t111 (@list true) (@list @t105))) % 0.15/0.39 (step @p67 :rule symm :premises (@p66)) % 0.15/0.39 (step @p68 :rule instantiate :premises (@p30) :args ((@list @t110 tptp.vd329))) % 0.15/0.39 (step @p69 :rule symm :premises (@p68)) % 0.15/0.39 (step @p70 :rule refl :args (@t114)) % 0.15/0.39 (step @p71 :rule refl :args (@t115)) % 0.15/0.39 (step @p72 :rule eq-symm :args (tptp.vd329 tptp.vd328)) % 0.15/0.39 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t116)) % 0.15/0.39 (step @p74 :rule refl :args (@t51)) % 0.15/0.39 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t51 @t116))) % 0.15/0.39 (assume-push @p143 @t51) % 0.15/0.39 (step @p77 :rule instantiate :premises (@p18) :args (@t117)) % 0.15/0.39 (step-pop @p144 :rule scope :premises (@p77)) % 0.15/0.39 (step @p78 :rule process_scope :premises (@p144) :args (@t116)) % 0.15/0.39 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.15/0.39 (step @p81 :rule implies_elim :premises (@p80)) % 0.15/0.39 (step @p82 :rule chain_m_resolution :premises (@p81 @p18) :args (@t118 (@list false) (@list @t51))) % 0.15/0.39 (step @p83 :rule bool-impl-elim :args (@t43 @t42)) % 0.15/0.39 (step @p84 :rule cong :premises (@p83) :args (@t44)) % 0.15/0.39 (step @p85 :rule eq_resolve :premises (@p17 @p84)) % 0.15/0.39 (step @p86 :rule instantiate :premises (@p85) :args (@t117)) % 0.15/0.39 (step @p87 :rule cnf_or_pos :args (@t120)) % 0.15/0.39 (step @p88 :rule reordering :premises (@p87) :args ((or @t1 @t119 (not @t120)))) % 0.15/0.39 (step @p89 :rule chain_m_resolution :premises (@p88 @p1 @p86) :args (@t119 @t121 (@list @t1 @t120))) % 0.15/0.39 (step @p90 :rule bool-impl-elim :args (@t13 @t12)) % 0.15/0.39 (step @p91 :rule cong :premises (@p90) :args (@t15)) % 0.15/0.39 (step @p92 :rule eq_resolve :premises (@p5 @p91)) % 0.15/0.39 (step @p93 :rule instantiate :premises (@p92) :args ((@list tptp.vd329 tptp.vd328 tptp.vd330))) % 0.15/0.39 (step @p94 :rule bool-impl-elim :args (@t38 @t37)) % 0.15/0.39 (step @p95 :rule cong :premises (@p94) :args (@t39)) % 0.15/0.39 (step @p96 :rule eq_resolve :premises (@p16 @p95)) % 0.15/0.39 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t2 @t3))) % 0.15/0.39 (step @p98 :rule instantiate :premises (@p20) :args ((@list @t3 @t2))) % 0.15/0.39 (step @p99 :rule cnf_or_pos :args (@t124)) % 0.15/0.39 (step @p100 :rule reordering :premises (@p99) :args ((or @t122 @t123 (not @t124)))) % 0.15/0.39 (step @p101 :rule chain_m_resolution :premises (@p100 @p2 @p98) :args (@t123 @t109 (@list @t4 @t124))) % 0.15/0.39 (step @p102 :rule cnf_or_pos :args (@t127)) % 0.15/0.39 (step @p103 :rule reordering :premises (@p102) :args ((or @t6 @t126 (not @t127)))) % 0.15/0.39 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p97) :args (@t126 @t121 (@list @t6 @t127))) % 0.15/0.39 (step @p105 :rule cnf_or_pos :args (@t129)) % 0.15/0.39 (step @p106 :rule reordering :premises (@p105) :args ((or @t128 @t125 (not @t129)))) % 0.15/0.39 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p93) :args (@t128 @t121 (@list @t125 @t129))) % 0.15/0.39 (step @p108 :rule cnf_or_pos :args (@t118)) % 0.15/0.39 (step @p109 :rule reordering :premises (@p108) :args ((or @t5 @t114 @t115 (not @t118)))) % 0.15/0.39 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p89 @p82) :args (@t5 (@list true true false) (@list @t114 @t115 @t118))) % 0.15/0.39 (step @p111 :rule quant-merge-prenex :args ((= (forall @t84 @t134) (forall (@list @t80 @t78 @t130) @t132)))) % 0.15/0.39 (step @p112 :rule alpha_equiv :args (@t135 (@list @t130) (@list @t79))) % 0.15/0.39 (step @p113 :rule refl :args (@t82)) % 0.15/0.39 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t136)) % 0.15/0.39 (step @p115 :rule quant-miniscope-or :args ((= @t134 @t136))) % 0.15/0.39 (step @p116 :rule trans :premises (@p115 @p114)) % 0.15/0.39 (step @p117 :rule symm :premises (@p116)) % 0.15/0.39 (step @p118 :rule cong :premises (@p117) :args ((forall @t84 (or @t82 @t81)))) % 0.15/0.39 (step @p119 :rule trans :premises (@p118 @p111)) % 0.15/0.39 (step @p120 :rule refl :args (@t81)) % 0.15/0.39 (step @p121 :rule bool-double-not-elim :args (@t82)) % 0.15/0.39 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t83) @t81))) % 0.15/0.39 (step @p123 :rule bool-impl-elim :args (@t83 @t81)) % 0.15/0.39 (step @p124 :rule trans :premises (@p123 @p122)) % 0.15/0.39 (step @p125 :rule cong :premises (@p124) :args (@t85)) % 0.15/0.39 (step @p126 :rule trans :premises (@p125 @p119)) % 0.15/0.39 (step @p127 :rule eq_resolve :premises (@p28 @p126)) % 0.15/0.39 (step @p128 :rule instantiate :premises (@p127) :args ((@list tptp.vd330 @t110 tptp.vd329))) % 0.15/0.39 (step @p129 :rule cnf_or_pos :args (@t138)) % 0.15/0.39 (step @p130 :rule reordering :premises (@p129) :args ((or @t112 @t137 (not @t138)))) % 0.15/0.39 (step @p131 :rule chain_m_resolution :premises (@p130 @p66 @p128) :args (@t137 @t109 (@list @t111 @t138))) % 0.15/0.39 (step @p132 :rule cong :premises (@p131 @p110) :args ((tptp.vplus tptp.vd330 tptp.vd328))) % 0.15/0.39 (step @p133 :rule instantiate :premises (@p30) :args ((@list tptp.vd330 tptp.vd328))) % 0.15/0.39 (step @p134 :rule trans :premises (@p133 @p132 @p69 @p67)) % 0.15/0.39 (step @p135 :rule symm :premises (@p134)) % 0.15/0.39 (step @p136 :rule cong :premises (@p135 @p134) :args (@t125)) % 0.15/0.39 (step @p137 :rule false_intro :premises (@p104)) % 0.15/0.39 (step @p138 :rule symm :premises (@p137)) % 0.15/0.39 (step @p139 :rule trans :premises (@p138 @p136 @p42)) % 0.15/0.39 (step @p140 false :rule eq_resolve :premises (@p139 @p41)) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------