%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI622_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:08:00 AM UTC 2026 % Result : Theorem 0.41s 0.61s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI622_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:30:00 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_ARI % 0.41/0.61 --- Run --finite-model-find --decision=internal at 45... % 0.41/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.41/0.61 % SZS status Theorem % 0.41/0.61 % SZS output start Proof % 0.41/0.61 ( % 0.41/0.61 (declare-const tptp.pow2 (-> Int Bool)) % 0.41/0.61 (define @t1 () (@var "Y" Int)) % 0.41/0.61 (define @t2 () (@var "X" Int)) % 0.41/0.61 (define @t3 () (+ @t2 @t1)) % 0.41/0.61 (define @t4 () (= @t3 10)) % 0.41/0.61 (define @t5 () (tptp.pow2 @t1)) % 0.41/0.61 (define @t6 () (tptp.pow2 @t2)) % 0.41/0.61 (define @t7 () (and @t6 @t5 @t4)) % 0.41/0.61 (define @t8 () (@list @t2 @t1)) % 0.41/0.61 (define @t9 () (exists @t8 @t7)) % 0.41/0.61 (define @t10 () (* 2 @t1)) % 0.41/0.61 (define @t11 () (= @t10 @t2)) % 0.41/0.61 (define @t12 () (and @t11 @t5)) % 0.41/0.61 (define @t13 () (@list @t1)) % 0.41/0.61 (define @t14 () (exists @t13 @t12)) % 0.41/0.61 (define @t15 () (and (<= 2 @t2) @t14)) % 0.41/0.61 (define @t16 () (= @t2 1)) % 0.41/0.61 (define @t17 () (or @t16 @t15)) % 0.41/0.61 (define @t18 () (= @t6 @t17)) % 0.41/0.61 (define @t19 () (@list @t2)) % 0.41/0.61 (define @t20 () (forall @t19 @t18)) % 0.41/0.61 (define @t21 () (=> @t20 @t9)) % 0.41/0.61 (define @t22 () (not @t21)) % 0.41/0.61 (define @t23 () (not @t5)) % 0.41/0.61 (define @t24 () (* -1 @t1)) % 0.41/0.61 (define @t25 () (+ 10 @t24)) % 0.41/0.61 (define @t26 () (not (tptp.pow2 @t25))) % 0.41/0.61 (define @t27 () (or @t26 @t23)) % 0.41/0.61 (define @t28 () (not (= @t25 @t25))) % 0.41/0.61 (define @t29 () (or @t26 @t23 @t28)) % 0.41/0.61 (define @t30 () (= @t2 @t25)) % 0.41/0.61 (define @t31 () (not @t30)) % 0.41/0.61 (define @t32 () (not @t6)) % 0.41/0.61 (define @t33 () (or @t31 @t32 @t23 @t31)) % 0.41/0.61 (define @t34 () (or @t32 @t23 @t31)) % 0.41/0.61 (define @t35 () (forall @t19 @t34)) % 0.41/0.61 (define @t36 () (forall @t13 @t35)) % 0.41/0.61 (define @t37 () (forall (@list @t1 @t2) @t34)) % 0.41/0.61 (define @t38 () (and @t6 @t5 @t30)) % 0.41/0.61 (define @t39 () (forall @t8 (not @t38))) % 0.41/0.61 (define @t40 () (not @t39)) % 0.41/0.61 (define @t41 () (= @t2 @t10)) % 0.41/0.61 (define @t42 () (and @t41 @t5)) % 0.41/0.61 (define @t43 () (forall @t13 (not @t42))) % 0.41/0.61 (define @t44 () (not @t43)) % 0.41/0.61 (define @t45 () (tptp.pow2 4)) % 0.41/0.61 (define @t46 () (not @t45)) % 0.41/0.61 (define @t47 () (= 4 4)) % 0.41/0.61 (define @t48 () (not @t47)) % 0.41/0.61 (define @t49 () (or @t48 @t46)) % 0.41/0.61 (define @t50 () (= @t1 4)) % 0.41/0.61 (define @t51 () (not @t50)) % 0.41/0.61 (define @t52 () (or @t51 @t51 @t23)) % 0.41/0.61 (define @t53 () (or @t51 @t23)) % 0.41/0.61 (define @t54 () (= 8 @t10)) % 0.41/0.61 (define @t55 () (not @t54)) % 0.41/0.61 (define @t56 () (or @t55 @t23)) % 0.41/0.61 (define @t57 () (forall @t13 @t56)) % 0.41/0.61 (define @t58 () (not @t57)) % 0.41/0.61 (define @t59 () (>= 8 2)) % 0.41/0.61 (define @t60 () (and @t59 @t58)) % 0.41/0.61 (define @t61 () (= 8 1)) % 0.41/0.61 (define @t62 () (or @t61 @t60)) % 0.41/0.61 (define @t63 () (tptp.pow2 8)) % 0.41/0.61 (define @t64 () (= @t63 @t62)) % 0.41/0.61 (define @t65 () (forall @t19 (= @t6 (or @t16 (and (>= @t2 2) (not (forall @t13 (or (not @t41) @t23)))))))) % 0.41/0.61 (define @t66 () (= @t63 @t45)) % 0.41/0.61 (define @t67 () (@list false)) % 0.41/0.61 (define @t68 () (@list @t65)) % 0.41/0.61 (define @t69 () (tptp.pow2 2)) % 0.41/0.61 (define @t70 () (not @t69)) % 0.41/0.61 (define @t71 () (* -1 2)) % 0.41/0.61 (define @t72 () (+ 10 @t71)) % 0.41/0.61 (define @t73 () (tptp.pow2 @t72)) % 0.41/0.61 (define @t74 () (not @t73)) % 0.41/0.61 (define @t75 () (or @t74 @t70)) % 0.41/0.61 (define @t76 () (forall @t13 @t27)) % 0.41/0.61 (define @t77 () (@list 2)) % 0.41/0.61 (define @t78 () (not @t63)) % 0.41/0.61 (define @t79 () (or @t78 @t70)) % 0.41/0.61 (define @t80 () (tptp.pow2 1)) % 0.41/0.61 (define @t81 () (not @t80)) % 0.41/0.61 (define @t82 () (= 1 1)) % 0.41/0.61 (define @t83 () (not @t82)) % 0.41/0.61 (define @t84 () (or @t83 @t81)) % 0.41/0.61 (define @t85 () (= @t1 1)) % 0.41/0.61 (define @t86 () (not @t85)) % 0.41/0.61 (define @t87 () (or @t86 @t86 @t23)) % 0.41/0.61 (define @t88 () (or @t86 @t23)) % 0.41/0.61 (define @t89 () (= 2 @t10)) % 0.41/0.61 (define @t90 () (not @t89)) % 0.41/0.61 (define @t91 () (or @t90 @t23)) % 0.41/0.61 (define @t92 () (forall @t13 @t91)) % 0.41/0.61 (define @t93 () (not @t92)) % 0.41/0.61 (define @t94 () (>= 2 2)) % 0.41/0.61 (define @t95 () (and @t94 @t93)) % 0.41/0.61 (define @t96 () (= 2 1)) % 0.41/0.61 (define @t97 () (or @t96 @t95)) % 0.41/0.61 (define @t98 () (= @t69 @t97)) % 0.41/0.61 (define @t99 () (= @t80 @t69)) % 0.41/0.61 (define @t100 () (to_real @t24)) % 0.41/0.61 (define @t101 () (to_real @t10)) % 0.41/0.61 (define @t102 () (to_real 1)) % 0.41/0.61 (define @t103 () (- @t102 @t101)) % 0.41/0.61 (define @t104 () (= @t102 @t101)) % 0.41/0.61 (define @t105 () (= 1 @t10)) % 0.41/0.61 (define @t106 () (not @t105)) % 0.41/0.61 (define @t107 () (or @t106 @t23)) % 0.41/0.61 (define @t108 () (forall @t13 @t107)) % 0.41/0.61 (define @t109 () (not @t108)) % 0.41/0.61 (define @t110 () (>= 1 2)) % 0.41/0.61 (define @t111 () (and @t110 @t109)) % 0.41/0.61 (define @t112 () (or @t82 @t111)) % 0.41/0.61 (define @t113 () (= @t80 @t112)) % 0.41/0.61 (define @t114 () (@list false false)) % 0.41/0.61 (define @t115 () (@list true false)) % 0.41/0.61 (define @t116 () (= @t69 @t45)) % 0.41/0.61 (define @t117 () (not @t116)) % 0.41/0.61 (define @t118 () (= 2 2)) % 0.41/0.61 (define @t119 () (not @t118)) % 0.41/0.61 (define @t120 () (or @t119 @t70)) % 0.41/0.61 (define @t121 () (= @t1 2)) % 0.41/0.61 (define @t122 () (not @t121)) % 0.41/0.61 (define @t123 () (or @t122 @t122 @t23)) % 0.41/0.61 (define @t124 () (or @t122 @t23)) % 0.41/0.61 (define @t125 () (= 4 @t10)) % 0.41/0.61 (define @t126 () (not @t125)) % 0.41/0.61 (define @t127 () (or @t126 @t23)) % 0.41/0.61 (define @t128 () (forall @t13 @t127)) % 0.41/0.61 (define @t129 () (not @t128)) % 0.41/0.61 (define @t130 () (>= 4 2)) % 0.41/0.61 (define @t131 () (and @t130 @t129)) % 0.41/0.61 (define @t132 () (= 4 1)) % 0.41/0.61 (define @t133 () (or @t132 @t131)) % 0.41/0.61 (define @t134 () (= @t45 @t133)) % 0.41/0.61 (assume @p1 @t22) % 0.41/0.61 (assume @p2 true) % 0.41/0.61 (step @p3 :rule aci_norm :args ((= (or @t26 @t23 false) @t27))) % 0.41/0.61 (step @p4 :rule evaluate :args ((not true))) % 0.41/0.61 (step @p5 :rule eq-refl :args (@t25)) % 0.41/0.61 (step @p6 :rule cong :premises (@p5) :args (@t28)) % 0.41/0.61 (step @p7 :rule trans :premises (@p6 @p4)) % 0.41/0.61 (step @p8 :rule refl :args (@t23)) % 0.41/0.61 (step @p9 :rule refl :args (@t26)) % 0.41/0.61 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t29)) % 0.41/0.61 (step @p11 :rule trans :premises (@p10 @p3)) % 0.41/0.61 (step @p12 :rule cong :premises (@p11) :args ((forall @t13 @t29))) % 0.41/0.61 (step @p13 :rule quant-var-elim-eq :args ((= (forall @t19 @t33) @t29))) % 0.41/0.61 (step @p14 :rule aci_norm :args ((= @t34 @t33))) % 0.41/0.61 (step @p15 :rule cong :premises (@p14) :args (@t35)) % 0.41/0.61 (step @p16 :rule trans :premises (@p15 @p13)) % 0.41/0.61 (step @p17 :rule cong :premises (@p16) :args (@t36)) % 0.41/0.61 (step @p18 :rule quant-merge-prenex :args ((= @t36 @t37))) % 0.41/0.61 (step @p19 :rule symm :premises (@p18)) % 0.41/0.61 (step @p20 :rule quant_var_reordering :args ((= (forall @t8 @t34) @t37))) % 0.41/0.61 (step @p21 :rule trans :premises (@p20 @p19 @p17)) % 0.41/0.61 (step @p22 :rule trans :premises (@p21 @p12)) % 0.41/0.61 (step @p23 :rule aci_norm :args ((= (or @t32 (or @t23 @t31)) @t34))) % 0.41/0.61 (step @p24 :rule bool-and-de-morgan :args (@t5 @t30 true)) % 0.41/0.61 (step @p25 :rule refl :args (@t32)) % 0.41/0.61 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t32 (not (and @t5 @t30))))) % 0.41/0.61 (step @p27 :rule bool-and-de-morgan :args (@t6 @t5 (and @t30))) % 0.41/0.61 (step @p28 :rule trans :premises (@p27 @p26)) % 0.41/0.61 (step @p29 :rule trans :premises (@p28 @p23)) % 0.41/0.61 (step @p30 :rule cong :premises (@p29) :args (@t39)) % 0.41/0.61 (step @p31 :rule trans :premises (@p30 @p22)) % 0.41/0.61 (step @p32 :rule cong :premises (@p31) :args (@t40)) % 0.41/0.61 (step @p33 :rule exists-elim :args ((= (exists @t8 @t38) @t40))) % 0.41/0.61 (step @p34 :rule trans :premises (@p33 @p32)) % 0.41/0.61 (step @p35 :rule arith_poly_norm :args ((= (* -10 (- @t3 10)) (* -10 (- @t2 @t25))))) % 0.41/0.61 (step @p36 :rule arith_poly_norm_rel :premises (@p35) :args ((= @t4 @t30))) % 0.41/0.61 (step @p37 :rule refl :args (@t5)) % 0.41/0.61 (step @p38 :rule refl :args (@t6)) % 0.41/0.61 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args (@t7)) % 0.41/0.61 (step @p40 :rule cong :premises (@p39) :args (@t9)) % 0.41/0.61 (step @p41 :rule trans :premises (@p40 @p34)) % 0.41/0.61 (step @p42 :rule bool-and-de-morgan :args (@t41 @t5 true)) % 0.41/0.61 (step @p43 :rule cong :premises (@p42) :args (@t43)) % 0.41/0.61 (step @p44 :rule cong :premises (@p43) :args (@t44)) % 0.41/0.61 (step @p45 :rule exists-elim :args ((= (exists @t13 @t42) @t44))) % 0.41/0.61 (step @p46 :rule trans :premises (@p45 @p44)) % 0.41/0.61 (step @p47 :rule arith_poly_norm :args ((= (* 1 (- @t10 @t2)) (* -1 (- @t2 @t10))))) % 0.41/0.61 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= @t11 @t41))) % 0.41/0.61 (step @p49 :rule nary_cong :premises (@p48 @p37) :args (@t12)) % 0.41/0.61 (step @p50 :rule cong :premises (@p49) :args (@t14)) % 0.41/0.61 (step @p51 :rule trans :premises (@p50 @p46)) % 0.41/0.61 (step @p52 :rule arith-elim-leq :args (2 @t2)) % 0.41/0.61 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t15)) % 0.41/0.61 (step @p54 :rule refl :args (@t16)) % 0.41/0.61 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t17)) % 0.41/0.61 (step @p56 :rule cong :premises (@p38 @p55) :args (@t18)) % 0.41/0.61 (step @p57 :rule cong :premises (@p56) :args (@t20)) % 0.41/0.61 (step @p58 :rule cong :premises (@p57 @p41) :args (@t21)) % 0.41/0.61 (step @p59 :rule cong :premises (@p58) :args (@t22)) % 0.41/0.61 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.41/0.61 (step @p61 :rule not_implies_elim1 :premises (@p60)) % 0.41/0.61 (step @p62 :rule aci_norm :args ((= (or false @t45) @t45))) % 0.41/0.61 (step @p63 :rule aci_norm :args ((= (and true @t45) @t45))) % 0.41/0.61 (step @p64 :rule bool-double-not-elim :args (@t45)) % 0.41/0.61 (step @p65 :rule aci_norm :args ((= (or false @t46) @t46))) % 0.41/0.61 (step @p66 :rule refl :args (@t46)) % 0.41/0.61 (step @p67 :rule evaluate :args (@t47)) % 0.41/0.61 (step @p68 :rule cong :premises (@p67) :args (@t48)) % 0.41/0.61 (step @p69 :rule trans :premises (@p68 @p4)) % 0.41/0.61 (step @p70 :rule nary_cong :premises (@p69 @p66) :args (@t49)) % 0.41/0.61 (step @p71 :rule trans :premises (@p70 @p65)) % 0.41/0.61 (step @p72 :rule quant-var-elim-eq :args ((= (forall @t13 @t52) @t49))) % 0.41/0.61 (step @p73 :rule aci_norm :args ((= @t53 @t52))) % 0.41/0.61 (step @p74 :rule cong :premises (@p73) :args ((forall @t13 @t53))) % 0.41/0.61 (step @p75 :rule trans :premises (@p74 @p72)) % 0.41/0.61 (step @p76 :rule trans :premises (@p75 @p71)) % 0.41/0.61 (step @p77 :rule arith_poly_norm :args ((= (* -4 (- 8 @t10)) (* 8 (- @t1 4))))) % 0.41/0.61 (step @p78 :rule arith_poly_norm_rel :premises (@p77) :args ((= @t54 @t50))) % 0.41/0.61 (step @p79 :rule cong :premises (@p78) :args (@t55)) % 0.41/0.61 (step @p80 :rule nary_cong :premises (@p79 @p8) :args (@t56)) % 0.41/0.61 (step @p81 :rule cong :premises (@p80) :args (@t57)) % 0.41/0.61 (step @p82 :rule trans :premises (@p81 @p76)) % 0.41/0.61 (step @p83 :rule cong :premises (@p82) :args (@t58)) % 0.41/0.61 (step @p84 :rule trans :premises (@p83 @p64)) % 0.41/0.61 (step @p85 :rule evaluate :args (@t59)) % 0.41/0.61 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t60)) % 0.41/0.61 (step @p87 :rule trans :premises (@p86 @p63)) % 0.41/0.61 (step @p88 :rule evaluate :args (@t61)) % 0.41/0.61 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t62)) % 0.41/0.61 (step @p90 :rule trans :premises (@p89 @p62)) % 0.41/0.61 (step @p91 :rule refl :args (@t63)) % 0.41/0.61 (step @p92 :rule cong :premises (@p91 @p90) :args (@t64)) % 0.41/0.61 (step @p93 :rule refl :args (@t65)) % 0.41/0.61 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t65 @t64))) % 0.41/0.61 (assume-push @p252 @t65) % 0.41/0.61 (step @p96 :rule instantiate :premises (@p61) :args ((@list 8))) % 0.41/0.61 (step-pop @p253 :rule scope :premises (@p96)) % 0.41/0.61 (step @p97 :rule process_scope :premises (@p253) :args (@t64)) % 0.41/0.61 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 0.41/0.61 (step @p100 :rule implies_elim :premises (@p99)) % 0.41/0.61 (step @p101 :rule chain_m_resolution :premises (@p100 @p61) :args (@t66 @t67 @t68)) % 0.41/0.61 (step @p102 :rule not_implies_elim2 :premises (@p60)) % 0.41/0.61 (step @p103 :rule not_not_elim :premises (@p102)) % 0.41/0.61 (step @p104 :rule refl :args (@t70)) % 0.41/0.61 (step @p105 :rule evaluate :args ((+ 10 -2))) % 0.41/0.61 (step @p106 :rule evaluate :args (@t71)) % 0.41/0.61 (step @p107 :rule refl :args (10)) % 0.41/0.61 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t72)) % 0.41/0.61 (step @p109 :rule trans :premises (@p108 @p105)) % 0.41/0.61 (step @p110 :rule cong :premises (@p109) :args (@t73)) % 0.41/0.61 (step @p111 :rule cong :premises (@p110) :args (@t74)) % 0.41/0.61 (step @p112 :rule nary_cong :premises (@p111 @p104) :args (@t75)) % 0.41/0.61 (step @p113 :rule refl :args (@t76)) % 0.41/0.61 (step @p114 :rule cong :premises (@p113 @p112) :args ((=> @t76 @t75))) % 0.41/0.61 (assume-push @p254 @t76) % 0.41/0.61 (step @p116 :rule instantiate :premises (@p103) :args (@t77)) % 0.41/0.61 (step-pop @p255 :rule scope :premises (@p116)) % 0.41/0.61 (step @p117 :rule process_scope :premises (@p255) :args (@t75)) % 0.41/0.61 (step @p119 :rule eq_resolve :premises (@p117 @p114)) % 0.41/0.61 (step @p120 :rule implies_elim :premises (@p119)) % 0.41/0.61 (step @p121 :rule chain_m_resolution :premises (@p120 @p103) :args (@t79 @t67 (@list @t76))) % 0.41/0.61 (step @p122 :rule eq-symm :args (@t69 @t80)) % 0.41/0.61 (step @p123 :rule aci_norm :args ((= (or false @t80) @t80))) % 0.41/0.61 (step @p124 :rule aci_norm :args ((= (and true @t80) @t80))) % 0.41/0.61 (step @p125 :rule bool-double-not-elim :args (@t80)) % 0.41/0.61 (step @p126 :rule aci_norm :args ((= (or false @t81) @t81))) % 0.41/0.61 (step @p127 :rule refl :args (@t81)) % 0.41/0.61 (step @p128 :rule evaluate :args (@t82)) % 0.41/0.61 (step @p129 :rule cong :premises (@p128) :args (@t83)) % 0.41/0.61 (step @p130 :rule trans :premises (@p129 @p4)) % 0.41/0.61 (step @p131 :rule nary_cong :premises (@p130 @p127) :args (@t84)) % 0.41/0.61 (step @p132 :rule trans :premises (@p131 @p126)) % 0.41/0.61 (step @p133 :rule quant-var-elim-eq :args ((= (forall @t13 @t87) @t84))) % 0.41/0.61 (step @p134 :rule aci_norm :args ((= @t88 @t87))) % 0.41/0.61 (step @p135 :rule cong :premises (@p134) :args ((forall @t13 @t88))) % 0.41/0.61 (step @p136 :rule trans :premises (@p135 @p133)) % 0.41/0.61 (step @p137 :rule trans :premises (@p136 @p132)) % 0.41/0.61 (step @p138 :rule arith_poly_norm :args ((= (* -1 (- 2 @t10)) (* 2 (- @t1 1))))) % 0.41/0.61 (step @p139 :rule arith_poly_norm_rel :premises (@p138) :args ((= @t89 @t85))) % 0.41/0.61 (step @p140 :rule cong :premises (@p139) :args (@t90)) % 0.41/0.61 (step @p141 :rule nary_cong :premises (@p140 @p8) :args (@t91)) % 0.41/0.61 (step @p142 :rule cong :premises (@p141) :args (@t92)) % 0.41/0.61 (step @p143 :rule trans :premises (@p142 @p137)) % 0.41/0.61 (step @p144 :rule cong :premises (@p143) :args (@t93)) % 0.41/0.61 (step @p145 :rule trans :premises (@p144 @p125)) % 0.41/0.61 (step @p146 :rule evaluate :args (@t94)) % 0.41/0.61 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t95)) % 0.41/0.61 (step @p148 :rule trans :premises (@p147 @p124)) % 0.41/0.61 (step @p149 :rule evaluate :args (@t96)) % 0.41/0.61 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t97)) % 0.41/0.61 (step @p151 :rule trans :premises (@p150 @p123)) % 0.41/0.61 (step @p152 :rule refl :args (@t69)) % 0.41/0.61 (step @p153 :rule cong :premises (@p152 @p151) :args (@t98)) % 0.41/0.61 (step @p154 :rule trans :premises (@p153 @p122)) % 0.41/0.61 (step @p155 :rule cong :premises (@p93 @p154) :args ((=> @t65 @t98))) % 0.41/0.61 (assume-push @p256 @t65) % 0.41/0.61 (step @p157 :rule instantiate :premises (@p61) :args (@t77)) % 0.41/0.61 (step-pop @p257 :rule scope :premises (@p157)) % 0.41/0.61 (step @p158 :rule process_scope :premises (@p257) :args (@t98)) % 0.41/0.61 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 0.41/0.61 (step @p161 :rule implies_elim :premises (@p160)) % 0.41/0.61 (step @p162 :rule chain_m_resolution :premises (@p161 @p61) :args (@t99 @t67 @t68)) % 0.41/0.61 (step @p163 :rule bool-eq-true :args (@t80)) % 0.41/0.61 (step @p164 :rule evaluate :args ((or true false))) % 0.41/0.61 (step @p165 :rule evaluate :args ((and false false))) % 0.41/0.61 (step @p166 :rule quant-unused-vars :args ((= (forall @t13 true) true))) % 0.41/0.61 (step @p167 :rule absorb :args ((= (or true @t23) true))) % 0.41/0.61 (step @p168 :rule evaluate :args ((not false))) % 0.41/0.61 (step @p169 :rule evaluate :args ((= (to_real (to_int -1/2)) -1/2))) % 0.41/0.61 (step @p170 :rule arith-int-eq-conflict :premises (@p169) :args (@t24 -1/2)) % 0.41/0.61 (step @p171 :rule arith_poly_norm :args ((= (* 1/2 @t103) (* 1/1 (- @t100 -1/2))))) % 0.41/0.61 (step @p172 :rule arith_poly_norm_rel :premises (@p171) :args ((= @t104 (= @t100 -1/2)))) % 0.41/0.61 (step @p173 :rule arith_poly_norm :args ((= (* 1/1 (to_real (- 1 @t10))) (* 1/1 @t103)))) % 0.41/0.61 (step @p174 :rule arith_poly_norm_rel :premises (@p173) :args ((= @t105 @t104))) % 0.41/0.61 (step @p175 :rule trans :premises (@p174 @p172 @p170)) % 0.41/0.61 (step @p176 :rule cong :premises (@p175) :args (@t106)) % 0.41/0.61 (step @p177 :rule trans :premises (@p176 @p168)) % 0.41/0.61 (step @p178 :rule nary_cong :premises (@p177 @p8) :args (@t107)) % 0.41/0.61 (step @p179 :rule trans :premises (@p178 @p167)) % 0.41/0.61 (step @p180 :rule cong :premises (@p179) :args (@t108)) % 0.41/0.61 (step @p181 :rule trans :premises (@p180 @p166)) % 0.41/0.61 (step @p182 :rule cong :premises (@p181) :args (@t109)) % 0.41/0.61 (step @p183 :rule trans :premises (@p182 @p4)) % 0.41/0.61 (step @p184 :rule evaluate :args (@t110)) % 0.41/0.61 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t111)) % 0.41/0.61 (step @p186 :rule trans :premises (@p185 @p165)) % 0.41/0.61 (step @p187 :rule nary_cong :premises (@p128 @p186) :args (@t112)) % 0.41/0.61 (step @p188 :rule trans :premises (@p187 @p164)) % 0.41/0.61 (step @p189 :rule refl :args (@t80)) % 0.41/0.61 (step @p190 :rule cong :premises (@p189 @p188) :args (@t113)) % 0.41/0.61 (step @p191 :rule trans :premises (@p190 @p163)) % 0.41/0.61 (step @p192 :rule cong :premises (@p93 @p191) :args ((=> @t65 @t113))) % 0.41/0.61 (assume-push @p258 @t65) % 0.41/0.61 (step @p194 :rule instantiate :premises (@p61) :args ((@list 1))) % 0.41/0.61 (step-pop @p259 :rule scope :premises (@p194)) % 0.41/0.61 (step @p195 :rule process_scope :premises (@p259) :args (@t113)) % 0.41/0.61 (step @p197 :rule eq_resolve :premises (@p195 @p192)) % 0.41/0.61 (step @p198 :rule implies_elim :premises (@p197)) % 0.41/0.61 (step @p199 :rule chain_m_resolution :premises (@p198 @p61) :args (@t80 @t67 @t68)) % 0.41/0.61 (step @p200 :rule cnf_equiv_pos1 :args (@t99)) % 0.41/0.61 (step @p201 :rule reordering :premises (@p200) :args ((or @t81 @t69 (not @t99)))) % 0.41/0.61 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p162) :args (@t69 @t114 (@list @t80 @t99))) % 0.41/0.61 (step @p203 :rule cnf_or_pos :args (@t79)) % 0.41/0.61 (step @p204 :rule reordering :premises (@p203) :args ((or @t70 @t78 (not @t79)))) % 0.41/0.61 (step @p205 :rule chain_m_resolution :premises (@p204 @p202 @p121) :args (@t78 @t114 (@list @t69 @t79))) % 0.41/0.61 (step @p206 :rule cnf_equiv_pos2 :args (@t66)) % 0.41/0.61 (step @p207 :rule reordering :premises (@p206) :args ((or @t63 @t46 (not @t66)))) % 0.41/0.61 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p101) :args (@t46 @t115 (@list @t63 @t66))) % 0.41/0.61 (step @p209 :rule cnf_equiv_pos1 :args (@t116)) % 0.41/0.61 (step @p210 :rule reordering :premises (@p209) :args ((or @t70 @t45 @t117))) % 0.41/0.61 (step @p211 :rule chain_m_resolution :premises (@p210 @p202 @p208) :args (@t117 (@list false true) (@list @t69 @t45))) % 0.41/0.61 (step @p212 :rule eq-symm :args (@t45 @t69)) % 0.41/0.61 (step @p213 :rule aci_norm :args ((= (or false @t69) @t69))) % 0.41/0.61 (step @p214 :rule aci_norm :args ((= (and true @t69) @t69))) % 0.41/0.61 (step @p215 :rule bool-double-not-elim :args (@t69)) % 0.41/0.61 (step @p216 :rule aci_norm :args ((= (or false @t70) @t70))) % 0.41/0.61 (step @p217 :rule evaluate :args (@t118)) % 0.41/0.61 (step @p218 :rule cong :premises (@p217) :args (@t119)) % 0.41/0.61 (step @p219 :rule trans :premises (@p218 @p4)) % 0.41/0.61 (step @p220 :rule nary_cong :premises (@p219 @p104) :args (@t120)) % 0.41/0.61 (step @p221 :rule trans :premises (@p220 @p216)) % 0.41/0.61 (step @p222 :rule quant-var-elim-eq :args ((= (forall @t13 @t123) @t120))) % 0.41/0.61 (step @p223 :rule aci_norm :args ((= @t124 @t123))) % 0.41/0.61 (step @p224 :rule cong :premises (@p223) :args ((forall @t13 @t124))) % 0.41/0.61 (step @p225 :rule trans :premises (@p224 @p222)) % 0.41/0.61 (step @p226 :rule trans :premises (@p225 @p221)) % 0.41/0.61 (step @p227 :rule arith_poly_norm :args ((= (* -2 (- 4 @t10)) (* 4 (- @t1 2))))) % 0.41/0.61 (step @p228 :rule arith_poly_norm_rel :premises (@p227) :args ((= @t125 @t121))) % 0.41/0.61 (step @p229 :rule cong :premises (@p228) :args (@t126)) % 0.41/0.61 (step @p230 :rule nary_cong :premises (@p229 @p8) :args (@t127)) % 0.41/0.61 (step @p231 :rule cong :premises (@p230) :args (@t128)) % 0.41/0.61 (step @p232 :rule trans :premises (@p231 @p226)) % 0.41/0.61 (step @p233 :rule cong :premises (@p232) :args (@t129)) % 0.41/0.61 (step @p234 :rule trans :premises (@p233 @p215)) % 0.41/0.61 (step @p235 :rule evaluate :args (@t130)) % 0.41/0.61 (step @p236 :rule nary_cong :premises (@p235 @p234) :args (@t131)) % 0.41/0.61 (step @p237 :rule trans :premises (@p236 @p214)) % 0.41/0.61 (step @p238 :rule evaluate :args (@t132)) % 0.41/0.61 (step @p239 :rule nary_cong :premises (@p238 @p237) :args (@t133)) % 0.41/0.61 (step @p240 :rule trans :premises (@p239 @p213)) % 0.41/0.61 (step @p241 :rule refl :args (@t45)) % 0.41/0.61 (step @p242 :rule cong :premises (@p241 @p240) :args (@t134)) % 0.41/0.61 (step @p243 :rule trans :premises (@p242 @p212)) % 0.41/0.61 (step @p244 :rule cong :premises (@p93 @p243) :args ((=> @t65 @t134))) % 0.41/0.61 (assume-push @p260 @t65) % 0.41/0.61 (step @p246 :rule instantiate :premises (@p61) :args ((@list 4))) % 0.41/0.61 (step-pop @p261 :rule scope :premises (@p246)) % 0.41/0.61 (step @p247 :rule process_scope :premises (@p261) :args (@t134)) % 0.41/0.61 (step @p249 :rule eq_resolve :premises (@p247 @p244)) % 0.41/0.61 (step @p250 :rule implies_elim :premises (@p249)) % 0.41/0.61 (step @p251 false :rule chain_m_resolution :premises (@p250 @p211 @p61) :args (false @t115 (@list @t116 @t65))) % 0.41/0.61 ) % 0.41/0.61 % SZS output end Proof % 0.41/0.61 % cvc5 exiting %------------------------------------------------------------------------------