%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV997_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 09:02:43 AM UTC 2026 % Result : Theorem 45.37s 45.67s % Output : Proof 45.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV997_1 : TPTP v9.2.1. Released v5.0.0. % 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 : n003.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 21:29:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_ARI % 45.37/45.67 --- Run --finite-model-find --decision=internal at 45... % 45.37/45.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.37/45.67 % SZS status Theorem % 45.37/45.67 % SZS output start Proof % 45.37/45.67 ( % 45.37/45.67 (declare-const tptp.z4 Int) % 45.37/45.67 (declare-const tptp.a (-> Int Int)) % 45.37/45.67 (declare-const tptp.b (-> Int Int)) % 45.37/45.67 (declare-const tptp.z3 Int) % 45.37/45.67 (declare-const tptp.z2 Int) % 45.37/45.67 (declare-const tptp.z1 Int) % 45.37/45.67 (define @t1 () (= (tptp.b tptp.z3) 5)) % 45.37/45.67 (define @t2 () (tptp.b tptp.z2)) % 45.37/45.67 (define @t3 () (= (tptp.a tptp.z3) 1)) % 45.37/45.67 (define @t4 () (= (tptp.a tptp.z2) 10)) % 45.37/45.67 (define @t5 () (= (tptp.a tptp.z1) 6)) % 45.37/45.67 (define @t6 () (and @t5 @t4 @t3 (< @t2 3) @t1 (< tptp.z2 tptp.z1))) % 45.37/45.67 (define @t7 () (not @t6)) % 45.37/45.67 (define @t8 () (@var "Z1" Int)) % 45.37/45.67 (define @t9 () (@var "Z2" Int)) % 45.37/45.67 (define @t10 () (< @t9 @t8)) % 45.37/45.67 (define @t11 () (tptp.b @t9)) % 45.37/45.67 (define @t12 () (< @t11 3)) % 45.37/45.67 (define @t13 () (@var "Z3" Int)) % 45.37/45.67 (define @t14 () (= (tptp.a @t13) 8)) % 45.37/45.67 (define @t15 () (= (tptp.a @t9) 10)) % 45.37/45.67 (define @t16 () (tptp.a @t8)) % 45.37/45.67 (define @t17 () (= @t16 7)) % 45.37/45.67 (define @t18 () (= @t9 @t13)) % 45.37/45.67 (define @t19 () (not @t18)) % 45.37/45.67 (define @t20 () (= @t8 @t13)) % 45.37/45.67 (define @t21 () (not @t20)) % 45.37/45.67 (define @t22 () (= @t8 @t9)) % 45.37/45.67 (define @t23 () (not @t22)) % 45.37/45.67 (define @t24 () (and @t23 @t21 @t19 @t17 @t15 @t14 @t12 @t10)) % 45.37/45.67 (define @t25 () (not @t24)) % 45.37/45.67 (define @t26 () (@list @t8 @t9 @t13)) % 45.37/45.67 (define @t27 () (forall @t26 @t25)) % 45.37/45.67 (define @t28 () (= (tptp.b @t13) 5)) % 45.37/45.67 (define @t29 () (= @t16 6)) % 45.37/45.67 (define @t30 () (and @t23 @t21 @t19 @t29 @t15 @t12 @t28 @t10)) % 45.37/45.67 (define @t31 () (not @t30)) % 45.37/45.67 (define @t32 () (forall @t26 @t31)) % 45.37/45.67 (define @t33 () (and @t23 @t21 @t19 @t17 @t15 @t12 @t28 @t10)) % 45.37/45.67 (define @t34 () (not @t33)) % 45.37/45.67 (define @t35 () (forall @t26 @t34)) % 45.37/45.67 (define @t36 () (= @t16 8)) % 45.37/45.67 (define @t37 () (and @t23 @t36 @t15 @t12 @t10)) % 45.37/45.67 (define @t38 () (not @t37)) % 45.37/45.67 (define @t39 () (@list @t8 @t9)) % 45.37/45.67 (define @t40 () (forall @t39 @t38)) % 45.37/45.67 (define @t41 () (= @t16 9)) % 45.37/45.67 (define @t42 () (and @t23 @t41 @t15 @t12 @t10)) % 45.37/45.67 (define @t43 () (not @t42)) % 45.37/45.67 (define @t44 () (forall @t39 @t43)) % 45.37/45.67 (define @t45 () (= @t16 10)) % 45.37/45.67 (define @t46 () (forall @t39 (not (and @t23 @t45 @t15)))) % 45.37/45.67 (define @t47 () (not (= tptp.z3 tptp.z4))) % 45.37/45.67 (define @t48 () (not (= tptp.z2 tptp.z4))) % 45.37/45.67 (define @t49 () (= tptp.z2 tptp.z3)) % 45.37/45.67 (define @t50 () (not @t49)) % 45.37/45.67 (define @t51 () (not (= tptp.z1 tptp.z4))) % 45.37/45.67 (define @t52 () (= tptp.z1 tptp.z3)) % 45.37/45.67 (define @t53 () (not @t52)) % 45.37/45.67 (define @t54 () (= tptp.z1 tptp.z2)) % 45.37/45.67 (define @t55 () (not @t54)) % 45.37/45.67 (define @t56 () (tptp.b @t8)) % 45.37/45.67 (define @t57 () (and (<= 1 @t56) (<= @t56 5))) % 45.37/45.67 (define @t58 () (@list @t8)) % 45.37/45.67 (define @t59 () (forall @t58 @t57)) % 45.37/45.67 (define @t60 () (and (<= 1 @t16) (<= @t16 12))) % 45.37/45.67 (define @t61 () (forall @t58 @t60)) % 45.37/45.67 (define @t62 () (and @t61 @t59 true @t55 @t53 @t51 @t50 @t48 @t47 @t46 @t44 @t40 @t35 @t32 @t27)) % 45.37/45.67 (define @t63 () (=> @t62 @t7)) % 45.37/45.67 (define @t64 () (not @t63)) % 45.37/45.67 (define @t65 () (+ tptp.z1 (* -1 tptp.z2))) % 45.37/45.67 (define @t66 () (>= @t65 1)) % 45.37/45.67 (define @t67 () (+ @t65 1)) % 45.37/45.67 (define @t68 () (>= tptp.z2 tptp.z1)) % 45.37/45.67 (define @t69 () (@var "BOUND_VARIABLE_7535" Int)) % 45.37/45.67 (define @t70 () (forall (@list @t69) (not (>= (tptp.b @t69) 6)))) % 45.37/45.67 (define @t71 () (@var "BOUND_VARIABLE_7529" Int)) % 45.37/45.67 (define @t72 () (forall (@list @t71) (>= (tptp.b @t71) 1))) % 45.37/45.67 (define @t73 () (@var "BOUND_VARIABLE_7515" Int)) % 45.37/45.67 (define @t74 () (forall (@list @t73) (not (>= (tptp.a @t73) 13)))) % 45.37/45.67 (define @t75 () (@var "BOUND_VARIABLE_7509" Int)) % 45.37/45.67 (define @t76 () (forall (@list @t75) (>= (tptp.a @t75) 1))) % 45.37/45.67 (define @t77 () (+ @t8 (* -1 @t9))) % 45.37/45.67 (define @t78 () (>= @t77 1)) % 45.37/45.67 (define @t79 () (not @t78)) % 45.37/45.67 (define @t80 () (>= @t11 3)) % 45.37/45.67 (define @t81 () (not @t14)) % 45.37/45.67 (define @t82 () (not @t15)) % 45.37/45.67 (define @t83 () (not @t17)) % 45.37/45.67 (define @t84 () (forall @t26 (or @t22 @t20 @t18 @t83 @t82 @t81 @t80 @t79))) % 45.37/45.67 (define @t85 () (not @t28)) % 45.37/45.67 (define @t86 () (not @t29)) % 45.37/45.67 (define @t87 () (forall @t26 (or @t22 @t20 @t18 @t86 @t82 @t80 @t85 @t79))) % 45.37/45.67 (define @t88 () (forall @t26 (or @t22 @t20 @t18 @t83 @t82 @t80 @t85 @t79))) % 45.37/45.67 (define @t89 () (not @t36)) % 45.37/45.67 (define @t90 () (forall @t39 (or @t22 @t89 @t82 @t80 @t79))) % 45.37/45.67 (define @t91 () (not @t41)) % 45.37/45.67 (define @t92 () (forall @t39 (or @t22 @t91 @t82 @t80 @t79))) % 45.37/45.67 (define @t93 () (not @t45)) % 45.37/45.67 (define @t94 () (forall @t39 (or @t22 @t93 @t82))) % 45.37/45.67 (define @t95 () (not @t80)) % 45.37/45.67 (define @t96 () (not @t95)) % 45.37/45.67 (define @t97 () (not @t19)) % 45.37/45.67 (define @t98 () (not @t21)) % 45.37/45.67 (define @t99 () (not @t23)) % 45.37/45.67 (define @t100 () (or @t99 @t98 @t97 @t83 @t82 @t81 @t96 @t79)) % 45.37/45.67 (define @t101 () (or @t96 @t79)) % 45.37/45.67 (define @t102 () (not (and @t95 @t78))) % 45.37/45.67 (define @t103 () (+ @t77 1)) % 45.37/45.67 (define @t104 () (>= @t9 @t8)) % 45.37/45.67 (define @t105 () (or @t99 @t98 @t97 @t86 @t82 @t96 @t85 @t79)) % 45.37/45.67 (define @t106 () (or @t82 (or @t96 (or @t85 @t79)))) % 45.37/45.67 (define @t107 () (not (and @t15 @t95 @t28 @t78))) % 45.37/45.67 (define @t108 () (or @t99 @t98 @t97 @t83 @t82 @t96 @t85 @t79)) % 45.37/45.67 (define @t109 () (or @t99 @t89 @t82 @t96 @t79)) % 45.37/45.67 (define @t110 () (or @t82 @t101)) % 45.37/45.67 (define @t111 () (not (and @t15 @t95 @t78))) % 45.37/45.67 (define @t112 () (or @t99 @t91 @t82 @t96 @t79)) % 45.37/45.67 (define @t113 () (or @t99 @t93 @t82)) % 45.37/45.67 (define @t114 () (not (>= @t56 6))) % 45.37/45.67 (define @t115 () (forall @t58 @t114)) % 45.37/45.67 (define @t116 () (@list @t8)) % 45.37/45.67 (define @t117 () (>= @t56 1)) % 45.37/45.67 (define @t118 () (forall @t58 @t117)) % 45.37/45.67 (define @t119 () (and @t118 @t115)) % 45.37/45.67 (define @t120 () (+ 5 1)) % 45.37/45.67 (define @t121 () (>= @t56 @t120)) % 45.37/45.67 (define @t122 () (not (>= @t16 13))) % 45.37/45.67 (define @t123 () (forall @t58 @t122)) % 45.37/45.67 (define @t124 () (>= @t16 1)) % 45.37/45.67 (define @t125 () (forall @t58 @t124)) % 45.37/45.67 (define @t126 () (and @t125 @t123)) % 45.37/45.67 (define @t127 () (+ 12 1)) % 45.37/45.67 (define @t128 () (>= @t16 @t127)) % 45.37/45.67 (define @t129 () (and @t61 @t59 @t55 @t53 @t51 @t50 @t48 @t47 @t46 @t44 @t40 @t35 @t32 @t27)) % 45.37/45.67 (define @t130 () (not @t66)) % 45.37/45.67 (define @t131 () (not @t1)) % 45.37/45.67 (define @t132 () (>= @t2 3)) % 45.37/45.67 (define @t133 () (not @t4)) % 45.37/45.67 (define @t134 () (not @t5)) % 45.37/45.67 (define @t135 () (or @t54 @t52 @t49 @t134 @t133 @t132 @t131 @t130)) % 45.37/45.67 (define @t136 () (not @t135)) % 45.37/45.67 (assume @p1 @t64) % 45.37/45.67 (assume @p2 true) % 45.37/45.67 (step @p3 :rule bool-double-not-elim :args (@t66)) % 45.37/45.67 (step @p4 :rule arith_poly_norm :args ((= (* -1 (- 1 @t67)) (* -1 (- tptp.z2 tptp.z1))))) % 45.37/45.67 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= (>= 1 @t67) @t68))) % 45.37/45.67 (step @p6 :rule arith-geq-tighten :args (@t65 1)) % 45.37/45.67 (step @p7 :rule trans :premises (@p6 @p5)) % 45.37/45.67 (step @p8 :rule symm :premises (@p7)) % 45.37/45.67 (step @p9 :rule cong :premises (@p8) :args ((not @t68))) % 45.37/45.67 (step @p10 :rule trans :premises (@p9 @p3)) % 45.37/45.67 (step @p11 :rule arith-elim-lt :args (tptp.z2 tptp.z1)) % 45.37/45.67 (step @p12 :rule trans :premises (@p11 @p10)) % 45.37/45.67 (step @p13 :rule refl :args (@t1)) % 45.37/45.67 (step @p14 :rule arith-elim-lt :args (@t2 3)) % 45.37/45.67 (step @p15 :rule refl :args (@t3)) % 45.37/45.67 (step @p16 :rule refl :args (@t4)) % 45.37/45.67 (step @p17 :rule refl :args (@t5)) % 45.37/45.67 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15 @p14 @p13 @p12) :args (@t6)) % 45.37/45.67 (step @p19 :rule cong :premises (@p18) :args (@t7)) % 45.37/45.67 (step @p20 :rule aci_norm :args ((= (and (and @t76 @t74) (and @t72 @t70) @t55 @t53 @t51 @t50 @t48 @t47 @t94 @t92 @t90 @t88 @t87 @t84) (and @t55 @t53 @t51 @t50 @t48 @t47 @t94 @t92 @t90 @t88 @t87 @t84 @t76 @t74 @t72 @t70)))) % 45.37/45.67 (step @p21 :rule refl :args (@t79)) % 45.37/45.67 (step @p22 :rule bool-double-not-elim :args (@t80)) % 45.37/45.67 (step @p23 :rule refl :args (@t81)) % 45.37/45.67 (step @p24 :rule refl :args (@t82)) % 45.37/45.67 (step @p25 :rule refl :args (@t83)) % 45.37/45.67 (step @p26 :rule bool-double-not-elim :args (@t18)) % 45.37/45.67 (step @p27 :rule bool-double-not-elim :args (@t20)) % 45.37/45.67 (step @p28 :rule bool-double-not-elim :args (@t22)) % 45.37/45.67 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21) :args (@t100)) % 45.37/45.67 (step @p30 :rule aci_norm :args ((= (or @t99 (or @t98 (or @t97 (or @t83 (or @t82 (or @t81 @t101)))))) @t100))) % 45.37/45.67 (step @p31 :rule trans :premises (@p30 @p29)) % 45.37/45.67 (step @p32 :rule bool-and-de-morgan :args (@t95 @t78 true)) % 45.37/45.67 (step @p33 :rule nary_cong :premises (@p23 @p32) :args ((or @t81 @t102))) % 45.37/45.67 (step @p34 :rule bool-and-de-morgan :args (@t14 @t95 (and @t78))) % 45.37/45.67 (step @p35 :rule trans :premises (@p34 @p33)) % 45.37/45.67 (step @p36 :rule nary_cong :premises (@p24 @p35) :args ((or @t82 (not (and @t14 @t95 @t78))))) % 45.37/45.67 (step @p37 :rule bool-and-de-morgan :args (@t15 @t14 (and @t95 @t78))) % 45.37/45.67 (step @p38 :rule trans :premises (@p37 @p36)) % 45.37/45.67 (step @p39 :rule nary_cong :premises (@p25 @p38) :args ((or @t83 (not (and @t15 @t14 @t95 @t78))))) % 45.37/45.67 (step @p40 :rule bool-and-de-morgan :args (@t17 @t15 (and @t14 @t95 @t78))) % 45.37/45.67 (step @p41 :rule trans :premises (@p40 @p39)) % 45.37/45.67 (step @p42 :rule refl :args (@t97)) % 45.37/45.67 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t97 (not (and @t17 @t15 @t14 @t95 @t78))))) % 45.37/45.67 (step @p44 :rule bool-and-de-morgan :args (@t19 @t17 (and @t15 @t14 @t95 @t78))) % 45.37/45.67 (step @p45 :rule trans :premises (@p44 @p43)) % 45.37/45.67 (step @p46 :rule refl :args (@t98)) % 45.37/45.67 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t98 (not (and @t19 @t17 @t15 @t14 @t95 @t78))))) % 45.37/45.67 (step @p48 :rule bool-and-de-morgan :args (@t21 @t19 (and @t17 @t15 @t14 @t95 @t78))) % 45.37/45.67 (step @p49 :rule trans :premises (@p48 @p47)) % 45.37/45.67 (step @p50 :rule refl :args (@t99)) % 45.37/45.67 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t99 (not (and @t21 @t19 @t17 @t15 @t14 @t95 @t78))))) % 45.37/45.67 (step @p52 :rule bool-and-de-morgan :args (@t23 @t21 (and @t19 @t17 @t15 @t14 @t95 @t78))) % 45.37/45.67 (step @p53 :rule trans :premises (@p52 @p51)) % 45.37/45.67 (step @p54 :rule trans :premises (@p53 @p31)) % 45.37/45.67 (step @p55 :rule cong :premises (@p54) :args ((forall @t26 (not (and @t23 @t21 @t19 @t17 @t15 @t14 @t95 @t78))))) % 45.37/45.67 (step @p56 :rule bool-double-not-elim :args (@t78)) % 45.37/45.67 (step @p57 :rule arith_poly_norm :args ((= (* -1 (- 1 @t103)) (* -1 (- @t9 @t8))))) % 45.37/45.67 (step @p58 :rule arith_poly_norm_rel :premises (@p57) :args ((= (>= 1 @t103) @t104))) % 45.37/45.67 (step @p59 :rule arith-geq-tighten :args (@t77 1)) % 45.37/45.67 (step @p60 :rule trans :premises (@p59 @p58)) % 45.37/45.67 (step @p61 :rule symm :premises (@p60)) % 45.37/45.67 (step @p62 :rule cong :premises (@p61) :args ((not @t104))) % 45.37/45.67 (step @p63 :rule trans :premises (@p62 @p56)) % 45.37/45.67 (step @p64 :rule arith-elim-lt :args (@t9 @t8)) % 45.37/45.67 (step @p65 :rule trans :premises (@p64 @p63)) % 45.37/45.67 (step @p66 :rule arith-elim-lt :args (@t11 3)) % 45.37/45.67 (step @p67 :rule refl :args (@t14)) % 45.37/45.67 (step @p68 :rule refl :args (@t15)) % 45.37/45.67 (step @p69 :rule refl :args (@t17)) % 45.37/45.67 (step @p70 :rule refl :args (@t19)) % 45.37/45.67 (step @p71 :rule refl :args (@t21)) % 45.37/45.67 (step @p72 :rule refl :args (@t23)) % 45.37/45.67 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65) :args (@t24)) % 45.37/45.67 (step @p74 :rule cong :premises (@p73) :args (@t25)) % 45.37/45.67 (step @p75 :rule cong :premises (@p74) :args (@t27)) % 45.37/45.67 (step @p76 :rule trans :premises (@p75 @p55)) % 45.37/45.67 (step @p77 :rule refl :args (@t85)) % 45.37/45.67 (step @p78 :rule refl :args (@t86)) % 45.37/45.67 (step @p79 :rule nary_cong :premises (@p28 @p27 @p26 @p78 @p24 @p22 @p77 @p21) :args (@t105)) % 45.37/45.67 (step @p80 :rule aci_norm :args ((= (or @t99 (or @t98 (or @t97 (or @t86 @t106)))) @t105))) % 45.37/45.67 (step @p81 :rule trans :premises (@p80 @p79)) % 45.37/45.67 (step @p82 :rule bool-and-de-morgan :args (@t28 @t78 true)) % 45.37/45.67 (step @p83 :rule refl :args (@t96)) % 45.37/45.67 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t96 (not (and @t28 @t78))))) % 45.37/45.67 (step @p85 :rule bool-and-de-morgan :args (@t95 @t28 (and @t78))) % 45.37/45.67 (step @p86 :rule trans :premises (@p85 @p84)) % 45.37/45.67 (step @p87 :rule nary_cong :premises (@p24 @p86) :args ((or @t82 (not (and @t95 @t28 @t78))))) % 45.37/45.67 (step @p88 :rule bool-and-de-morgan :args (@t15 @t95 (and @t28 @t78))) % 45.37/45.67 (step @p89 :rule trans :premises (@p88 @p87)) % 45.37/45.67 (step @p90 :rule nary_cong :premises (@p78 @p89) :args ((or @t86 @t107))) % 45.37/45.67 (step @p91 :rule bool-and-de-morgan :args (@t29 @t15 (and @t95 @t28 @t78))) % 45.37/45.67 (step @p92 :rule trans :premises (@p91 @p90)) % 45.37/45.67 (step @p93 :rule nary_cong :premises (@p42 @p92) :args ((or @t97 (not (and @t29 @t15 @t95 @t28 @t78))))) % 45.37/45.67 (step @p94 :rule bool-and-de-morgan :args (@t19 @t29 (and @t15 @t95 @t28 @t78))) % 45.37/45.67 (step @p95 :rule trans :premises (@p94 @p93)) % 45.37/45.67 (step @p96 :rule nary_cong :premises (@p46 @p95) :args ((or @t98 (not (and @t19 @t29 @t15 @t95 @t28 @t78))))) % 45.37/45.67 (step @p97 :rule bool-and-de-morgan :args (@t21 @t19 (and @t29 @t15 @t95 @t28 @t78))) % 45.37/45.67 (step @p98 :rule trans :premises (@p97 @p96)) % 45.37/45.67 (step @p99 :rule nary_cong :premises (@p50 @p98) :args ((or @t99 (not (and @t21 @t19 @t29 @t15 @t95 @t28 @t78))))) % 45.37/45.67 (step @p100 :rule bool-and-de-morgan :args (@t23 @t21 (and @t19 @t29 @t15 @t95 @t28 @t78))) % 45.37/45.67 (step @p101 :rule trans :premises (@p100 @p99)) % 45.37/45.67 (step @p102 :rule trans :premises (@p101 @p81)) % 45.37/45.67 (step @p103 :rule cong :premises (@p102) :args ((forall @t26 (not (and @t23 @t21 @t19 @t29 @t15 @t95 @t28 @t78))))) % 45.37/45.67 (step @p104 :rule refl :args (@t28)) % 45.37/45.67 (step @p105 :rule refl :args (@t29)) % 45.37/45.67 (step @p106 :rule nary_cong :premises (@p72 @p71 @p70 @p105 @p68 @p66 @p104 @p65) :args (@t30)) % 45.37/45.67 (step @p107 :rule cong :premises (@p106) :args (@t31)) % 45.37/45.67 (step @p108 :rule cong :premises (@p107) :args (@t32)) % 45.37/45.67 (step @p109 :rule trans :premises (@p108 @p103)) % 45.37/45.67 (step @p110 :rule nary_cong :premises (@p28 @p27 @p26 @p25 @p24 @p22 @p77 @p21) :args (@t108)) % 45.37/45.67 (step @p111 :rule aci_norm :args ((= (or @t99 (or @t98 (or @t97 (or @t83 @t106)))) @t108))) % 45.37/45.67 (step @p112 :rule trans :premises (@p111 @p110)) % 45.37/45.67 (step @p113 :rule nary_cong :premises (@p25 @p89) :args ((or @t83 @t107))) % 45.37/45.67 (step @p114 :rule bool-and-de-morgan :args (@t17 @t15 (and @t95 @t28 @t78))) % 45.37/45.67 (step @p115 :rule trans :premises (@p114 @p113)) % 45.37/45.67 (step @p116 :rule nary_cong :premises (@p42 @p115) :args ((or @t97 (not (and @t17 @t15 @t95 @t28 @t78))))) % 45.37/45.67 (step @p117 :rule bool-and-de-morgan :args (@t19 @t17 (and @t15 @t95 @t28 @t78))) % 45.37/45.67 (step @p118 :rule trans :premises (@p117 @p116)) % 45.37/45.67 (step @p119 :rule nary_cong :premises (@p46 @p118) :args ((or @t98 (not (and @t19 @t17 @t15 @t95 @t28 @t78))))) % 45.37/45.67 (step @p120 :rule bool-and-de-morgan :args (@t21 @t19 (and @t17 @t15 @t95 @t28 @t78))) % 45.37/45.67 (step @p121 :rule trans :premises (@p120 @p119)) % 45.37/45.67 (step @p122 :rule nary_cong :premises (@p50 @p121) :args ((or @t99 (not (and @t21 @t19 @t17 @t15 @t95 @t28 @t78))))) % 45.37/45.67 (step @p123 :rule bool-and-de-morgan :args (@t23 @t21 (and @t19 @t17 @t15 @t95 @t28 @t78))) % 45.37/45.67 (step @p124 :rule trans :premises (@p123 @p122)) % 45.37/45.67 (step @p125 :rule trans :premises (@p124 @p112)) % 45.37/45.67 (step @p126 :rule cong :premises (@p125) :args ((forall @t26 (not (and @t23 @t21 @t19 @t17 @t15 @t95 @t28 @t78))))) % 45.37/45.67 (step @p127 :rule nary_cong :premises (@p72 @p71 @p70 @p69 @p68 @p66 @p104 @p65) :args (@t33)) % 45.37/45.67 (step @p128 :rule cong :premises (@p127) :args (@t34)) % 45.37/45.67 (step @p129 :rule cong :premises (@p128) :args (@t35)) % 45.37/45.67 (step @p130 :rule trans :premises (@p129 @p126)) % 45.37/45.67 (step @p131 :rule refl :args (@t89)) % 45.37/45.67 (step @p132 :rule nary_cong :premises (@p28 @p131 @p24 @p22 @p21) :args (@t109)) % 45.37/45.67 (step @p133 :rule aci_norm :args ((= (or @t99 (or @t89 @t110)) @t109))) % 45.37/45.67 (step @p134 :rule trans :premises (@p133 @p132)) % 45.37/45.67 (step @p135 :rule nary_cong :premises (@p24 @p32) :args ((or @t82 @t102))) % 45.37/45.67 (step @p136 :rule bool-and-de-morgan :args (@t15 @t95 (and @t78))) % 45.37/45.67 (step @p137 :rule trans :premises (@p136 @p135)) % 45.37/45.67 (step @p138 :rule nary_cong :premises (@p131 @p137) :args ((or @t89 @t111))) % 45.37/45.67 (step @p139 :rule bool-and-de-morgan :args (@t36 @t15 (and @t95 @t78))) % 45.37/45.67 (step @p140 :rule trans :premises (@p139 @p138)) % 45.37/45.67 (step @p141 :rule nary_cong :premises (@p50 @p140) :args ((or @t99 (not (and @t36 @t15 @t95 @t78))))) % 45.37/45.67 (step @p142 :rule bool-and-de-morgan :args (@t23 @t36 (and @t15 @t95 @t78))) % 45.37/45.67 (step @p143 :rule trans :premises (@p142 @p141)) % 45.37/45.67 (step @p144 :rule trans :premises (@p143 @p134)) % 45.37/45.67 (step @p145 :rule cong :premises (@p144) :args ((forall @t39 (not (and @t23 @t36 @t15 @t95 @t78))))) % 45.37/45.67 (step @p146 :rule refl :args (@t36)) % 45.37/45.67 (step @p147 :rule nary_cong :premises (@p72 @p146 @p68 @p66 @p65) :args (@t37)) % 45.37/45.67 (step @p148 :rule cong :premises (@p147) :args (@t38)) % 45.37/45.67 (step @p149 :rule cong :premises (@p148) :args (@t40)) % 45.37/45.67 (step @p150 :rule trans :premises (@p149 @p145)) % 45.37/45.67 (step @p151 :rule refl :args (@t91)) % 45.37/45.67 (step @p152 :rule nary_cong :premises (@p28 @p151 @p24 @p22 @p21) :args (@t112)) % 45.37/45.67 (step @p153 :rule aci_norm :args ((= (or @t99 (or @t91 @t110)) @t112))) % 45.37/45.67 (step @p154 :rule trans :premises (@p153 @p152)) % 45.37/45.67 (step @p155 :rule nary_cong :premises (@p151 @p137) :args ((or @t91 @t111))) % 45.37/45.67 (step @p156 :rule bool-and-de-morgan :args (@t41 @t15 (and @t95 @t78))) % 45.37/45.67 (step @p157 :rule trans :premises (@p156 @p155)) % 45.37/45.67 (step @p158 :rule nary_cong :premises (@p50 @p157) :args ((or @t99 (not (and @t41 @t15 @t95 @t78))))) % 45.37/45.67 (step @p159 :rule bool-and-de-morgan :args (@t23 @t41 (and @t15 @t95 @t78))) % 45.37/45.67 (step @p160 :rule trans :premises (@p159 @p158)) % 45.37/45.67 (step @p161 :rule trans :premises (@p160 @p154)) % 45.37/45.67 (step @p162 :rule cong :premises (@p161) :args ((forall @t39 (not (and @t23 @t41 @t15 @t95 @t78))))) % 45.37/45.67 (step @p163 :rule refl :args (@t41)) % 45.37/45.67 (step @p164 :rule nary_cong :premises (@p72 @p163 @p68 @p66 @p65) :args (@t42)) % 45.37/45.67 (step @p165 :rule cong :premises (@p164) :args (@t43)) % 45.37/45.67 (step @p166 :rule cong :premises (@p165) :args (@t44)) % 45.37/45.67 (step @p167 :rule trans :premises (@p166 @p162)) % 45.37/45.67 (step @p168 :rule refl :args (@t93)) % 45.37/45.67 (step @p169 :rule nary_cong :premises (@p28 @p168 @p24) :args (@t113)) % 45.37/45.67 (step @p170 :rule aci_norm :args ((= (or @t99 (or @t93 @t82)) @t113))) % 45.37/45.67 (step @p171 :rule trans :premises (@p170 @p169)) % 45.37/45.67 (step @p172 :rule bool-and-de-morgan :args (@t45 @t15 true)) % 45.37/45.67 (step @p173 :rule nary_cong :premises (@p50 @p172) :args ((or @t99 (not (and @t45 @t15))))) % 45.37/45.67 (step @p174 :rule bool-and-de-morgan :args (@t23 @t45 (and @t15))) % 45.37/45.67 (step @p175 :rule trans :premises (@p174 @p173)) % 45.37/45.67 (step @p176 :rule trans :premises (@p175 @p171)) % 45.37/45.67 (step @p177 :rule cong :premises (@p176) :args (@t46)) % 45.37/45.67 (step @p178 :rule refl :args (@t47)) % 45.37/45.67 (step @p179 :rule refl :args (@t48)) % 45.37/45.67 (step @p180 :rule refl :args (@t50)) % 45.37/45.67 (step @p181 :rule refl :args (@t51)) % 45.37/45.67 (step @p182 :rule refl :args (@t53)) % 45.37/45.67 (step @p183 :rule refl :args (@t55)) % 45.37/45.67 (step @p184 :rule alpha_equiv :args (@t115 @t116 (@list @t69))) % 45.37/45.67 (step @p185 :rule alpha_equiv :args (@t118 @t116 (@list @t71))) % 45.37/45.67 (step @p186 :rule nary_cong :premises (@p185 @p184) :args (@t119)) % 45.37/45.67 (step @p187 :rule quant-miniscope-and :args ((= (forall @t58 (and @t117 @t114)) @t119))) % 45.37/45.67 (step @p188 :rule trans :premises (@p187 @p186)) % 45.37/45.67 (step @p189 :rule evaluate :args (@t120)) % 45.37/45.67 (step @p190 :rule refl :args (@t56)) % 45.37/45.67 (step @p191 :rule cong :premises (@p190 @p189) :args (@t121)) % 45.37/45.67 (step @p192 :rule cong :premises (@p191) :args ((not @t121))) % 45.37/45.67 (step @p193 :rule arith-leq-norm :args (@t56 5)) % 45.37/45.67 (step @p194 :rule trans :premises (@p193 @p192)) % 45.37/45.67 (step @p195 :rule arith-elim-leq :args (1 @t56)) % 45.37/45.67 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t57)) % 45.37/45.67 (step @p197 :rule cong :premises (@p196) :args (@t59)) % 45.37/45.67 (step @p198 :rule trans :premises (@p197 @p188)) % 45.37/45.67 (step @p199 :rule alpha_equiv :args (@t123 @t116 (@list @t73))) % 45.37/45.67 (step @p200 :rule alpha_equiv :args (@t125 @t116 (@list @t75))) % 45.37/45.67 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t126)) % 45.37/45.67 (step @p202 :rule quant-miniscope-and :args ((= (forall @t58 (and @t124 @t122)) @t126))) % 45.37/45.67 (step @p203 :rule trans :premises (@p202 @p201)) % 45.37/45.67 (step @p204 :rule evaluate :args (@t127)) % 45.37/45.67 (step @p205 :rule refl :args (@t16)) % 45.37/45.67 (step @p206 :rule cong :premises (@p205 @p204) :args (@t128)) % 45.37/45.67 (step @p207 :rule cong :premises (@p206) :args ((not @t128))) % 45.37/45.67 (step @p208 :rule arith-leq-norm :args (@t16 12)) % 45.37/45.67 (step @p209 :rule trans :premises (@p208 @p207)) % 45.37/45.67 (step @p210 :rule arith-elim-leq :args (1 @t16)) % 45.37/45.67 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t60)) % 45.37/45.67 (step @p212 :rule cong :premises (@p211) :args (@t61)) % 45.37/45.67 (step @p213 :rule trans :premises (@p212 @p203)) % 45.37/45.67 (step @p214 :rule nary_cong :premises (@p213 @p198 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p167 @p150 @p130 @p109 @p76) :args (@t129)) % 45.37/45.67 (step @p215 :rule trans :premises (@p214 @p20)) % 45.37/45.67 (step @p216 :rule aci_norm :args ((= @t62 @t129))) % 45.37/45.67 (step @p217 :rule trans :premises (@p216 @p215)) % 45.37/45.67 (step @p218 :rule cong :premises (@p217 @p19) :args (@t63)) % 45.37/45.67 (step @p219 :rule cong :premises (@p218) :args (@t64)) % 45.37/45.67 (step @p220 :rule eq_resolve :premises (@p1 @p219)) % 45.37/45.67 (step @p221 :rule not_implies_elim1 :premises (@p220)) % 45.37/45.67 (step @p222 :rule and_elim :premises (@p221) :args (10)) % 45.37/45.67 (step @p223 :rule not_implies_elim2 :premises (@p220)) % 45.37/45.67 (step @p224 :rule not_not_elim :premises (@p223)) % 45.37/45.67 (step @p225 :rule and_elim :premises (@p224) :args (4)) % 45.37/45.67 (step @p226 :rule and_elim :premises (@p224) :args (1)) % 45.37/45.67 (step @p227 :rule and_elim :premises (@p224) :args (0)) % 45.37/45.67 (step @p228 :rule and_elim :premises (@p224) :args (5)) % 45.37/45.67 (step @p229 :rule and_elim :premises (@p224) :args (3)) % 45.37/45.67 (step @p230 :rule and_elim :premises (@p221) :args (3)) % 45.37/45.67 (step @p231 :rule and_elim :premises (@p221) :args (1)) % 45.37/45.67 (step @p232 :rule and_elim :premises (@p221) :args (0)) % 45.37/45.67 (step @p233 :rule cnf_or_pos :args (@t135)) % 45.37/45.67 (step @p234 :rule reordering :premises (@p233) :args ((or @t54 @t52 @t49 @t132 @t130 @t134 @t133 @t131 @t136))) % 45.37/45.67 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p231 @p230 @p229 @p228 @p227 @p226 @p225) :args (@t136 (@list true true true true false false false false) (@list @t54 @t52 @t49 @t132 @t66 @t5 @t4 @t1))) % 45.37/45.67 (assume-push @p242 @t87) % 45.37/45.67 (step @p237 :rule instantiate :premises (@p222) :args ((@list tptp.z1 tptp.z2 tptp.z3))) % 45.37/45.67 (step-pop @p243 :rule scope :premises (@p237)) % 45.37/45.67 (step @p238 :rule process_scope :premises (@p243) :args (@t135)) % 45.37/45.67 (step @p240 :rule implies_elim :premises (@p238)) % 45.37/45.67 (step @p241 false :rule chain_m_resolution :premises (@p240 @p235 @p222) :args (false (@list true false) (@list @t135 @t87))) % 45.37/45.67 ) % 45.37/45.67 % SZS output end Proof % 45.37/45.68 % cvc5 exiting %------------------------------------------------------------------------------