%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP001+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:36:14 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP001+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 09:50:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.hollywood (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.city (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.down (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.barrel (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.old (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.dirty (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.white (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.car (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.chevy (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.lonely (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.way (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.street (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.event (-> $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "X7" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "X8" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.in @t2 @t1)) % 0.37/0.58 (define @t4 () (@var "X9" $$unsorted)) % 0.37/0.58 (define @t5 () (tptp.down @t2 @t4)) % 0.37/0.58 (define @t6 () (@var "X10" $$unsorted)) % 0.37/0.58 (define @t7 () (tptp.barrel @t2 @t6)) % 0.37/0.58 (define @t8 () (tptp.old @t6)) % 0.37/0.58 (define @t9 () (tptp.dirty @t6)) % 0.37/0.58 (define @t10 () (tptp.white @t6)) % 0.37/0.58 (define @t11 () (tptp.car @t6)) % 0.37/0.58 (define @t12 () (tptp.chevy @t6)) % 0.37/0.58 (define @t13 () (tptp.lonely @t4)) % 0.37/0.58 (define @t14 () (tptp.way @t4)) % 0.37/0.58 (define @t15 () (tptp.street @t4)) % 0.37/0.58 (define @t16 () (tptp.event @t2)) % 0.37/0.58 (define @t17 () (tptp.city @t1)) % 0.37/0.58 (define @t18 () (tptp.hollywood @t1)) % 0.37/0.58 (define @t19 () (and @t18 @t17 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t5 @t3)) % 0.37/0.58 (define @t20 () (@list @t1 @t2 @t4 @t6)) % 0.37/0.58 (define @t21 () (exists @t20 @t19)) % 0.37/0.58 (define @t22 () (@var "X3" $$unsorted)) % 0.37/0.58 (define @t23 () (@var "X4" $$unsorted)) % 0.37/0.58 (define @t24 () (tptp.in @t23 @t22)) % 0.37/0.58 (define @t25 () (@var "X6" $$unsorted)) % 0.37/0.58 (define @t26 () (tptp.down @t23 @t25)) % 0.37/0.58 (define @t27 () (@var "X5" $$unsorted)) % 0.37/0.58 (define @t28 () (tptp.barrel @t23 @t27)) % 0.37/0.58 (define @t29 () (tptp.lonely @t25)) % 0.37/0.58 (define @t30 () (tptp.way @t25)) % 0.37/0.58 (define @t31 () (tptp.street @t25)) % 0.37/0.58 (define @t32 () (tptp.old @t27)) % 0.37/0.58 (define @t33 () (tptp.dirty @t27)) % 0.37/0.58 (define @t34 () (tptp.white @t27)) % 0.37/0.58 (define @t35 () (tptp.car @t27)) % 0.37/0.58 (define @t36 () (tptp.chevy @t27)) % 0.37/0.58 (define @t37 () (tptp.event @t23)) % 0.37/0.58 (define @t38 () (tptp.city @t22)) % 0.37/0.58 (define @t39 () (tptp.hollywood @t22)) % 0.37/0.58 (define @t40 () (and @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24)) % 0.37/0.58 (define @t41 () (@list @t22 @t23 @t27 @t25)) % 0.37/0.58 (define @t42 () (exists @t41 @t40)) % 0.37/0.58 (define @t43 () (=> @t42 @t21)) % 0.37/0.58 (define @t44 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t45 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t46 () (tptp.in @t45 @t44)) % 0.37/0.58 (define @t47 () (@var "X2" $$unsorted)) % 0.37/0.58 (define @t48 () (tptp.down @t45 @t47)) % 0.37/0.58 (define @t49 () (@var "X1" $$unsorted)) % 0.37/0.58 (define @t50 () (tptp.barrel @t45 @t49)) % 0.37/0.58 (define @t51 () (tptp.lonely @t47)) % 0.37/0.58 (define @t52 () (tptp.way @t47)) % 0.37/0.58 (define @t53 () (tptp.street @t47)) % 0.37/0.58 (define @t54 () (tptp.old @t49)) % 0.37/0.58 (define @t55 () (tptp.dirty @t49)) % 0.37/0.58 (define @t56 () (tptp.white @t49)) % 0.37/0.58 (define @t57 () (tptp.car @t49)) % 0.37/0.58 (define @t58 () (tptp.chevy @t49)) % 0.37/0.58 (define @t59 () (tptp.event @t45)) % 0.37/0.58 (define @t60 () (tptp.city @t44)) % 0.37/0.58 (define @t61 () (tptp.hollywood @t44)) % 0.37/0.58 (define @t62 () (and @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46)) % 0.37/0.58 (define @t63 () (@list @t44 @t45 @t49 @t47)) % 0.37/0.58 (define @t64 () (exists @t63 @t62)) % 0.37/0.58 (define @t65 () (@var "U" $$unsorted)) % 0.37/0.58 (define @t66 () (@var "V" $$unsorted)) % 0.37/0.58 (define @t67 () (tptp.in @t66 @t65)) % 0.37/0.58 (define @t68 () (@var "W" $$unsorted)) % 0.37/0.58 (define @t69 () (tptp.down @t66 @t68)) % 0.37/0.58 (define @t70 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t71 () (tptp.barrel @t66 @t70)) % 0.37/0.58 (define @t72 () (tptp.old @t70)) % 0.37/0.58 (define @t73 () (tptp.dirty @t70)) % 0.37/0.58 (define @t74 () (tptp.white @t70)) % 0.37/0.58 (define @t75 () (tptp.car @t70)) % 0.37/0.58 (define @t76 () (tptp.chevy @t70)) % 0.37/0.58 (define @t77 () (tptp.lonely @t68)) % 0.37/0.58 (define @t78 () (tptp.way @t68)) % 0.37/0.58 (define @t79 () (tptp.street @t68)) % 0.37/0.58 (define @t80 () (tptp.event @t66)) % 0.37/0.58 (define @t81 () (tptp.city @t65)) % 0.37/0.58 (define @t82 () (tptp.hollywood @t65)) % 0.37/0.58 (define @t83 () (and @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67)) % 0.37/0.58 (define @t84 () (@list @t65 @t66 @t68 @t70)) % 0.37/0.58 (define @t85 () (exists @t84 @t83)) % 0.37/0.58 (define @t86 () (=> @t85 @t64)) % 0.37/0.58 (define @t87 () (and @t86 @t43)) % 0.37/0.58 (define @t88 () (not @t87)) % 0.37/0.58 (define @t89 () (not @t46)) % 0.37/0.58 (define @t90 () (not @t48)) % 0.37/0.58 (define @t91 () (not @t50)) % 0.37/0.58 (define @t92 () (not @t54)) % 0.37/0.58 (define @t93 () (not @t55)) % 0.37/0.58 (define @t94 () (not @t56)) % 0.37/0.58 (define @t95 () (not @t57)) % 0.37/0.58 (define @t96 () (not @t58)) % 0.37/0.58 (define @t97 () (not @t51)) % 0.37/0.58 (define @t98 () (not @t52)) % 0.37/0.58 (define @t99 () (not @t53)) % 0.37/0.58 (define @t100 () (not @t59)) % 0.37/0.58 (define @t101 () (not @t60)) % 0.37/0.58 (define @t102 () (not @t61)) % 0.37/0.58 (define @t103 () (or @t102 @t101 @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89)) % 0.37/0.58 (define @t104 () (or @t102 @t101 @t100 @t96 @t95 @t94 @t93 @t92 @t99 @t98 @t97 @t91 @t90 @t89)) % 0.37/0.58 (define @t105 () (forall @t63 @t104)) % 0.37/0.58 (define @t106 () (forall @t63 @t103)) % 0.37/0.58 (define @t107 () (not @t67)) % 0.37/0.58 (define @t108 () (not @t69)) % 0.37/0.58 (define @t109 () (not @t71)) % 0.37/0.58 (define @t110 () (not @t72)) % 0.37/0.58 (define @t111 () (not @t73)) % 0.37/0.58 (define @t112 () (not @t74)) % 0.37/0.58 (define @t113 () (not @t75)) % 0.37/0.58 (define @t114 () (not @t76)) % 0.37/0.58 (define @t115 () (not @t77)) % 0.37/0.58 (define @t116 () (not @t78)) % 0.37/0.58 (define @t117 () (not @t79)) % 0.37/0.58 (define @t118 () (not @t80)) % 0.37/0.58 (define @t119 () (not @t81)) % 0.37/0.58 (define @t120 () (not @t82)) % 0.37/0.58 (define @t121 () (or @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107)) % 0.37/0.58 (define @t122 () (forall @t84 @t121)) % 0.37/0.58 (define @t123 () (@list @t65 @t66 @t68 @t70)) % 0.37/0.58 (define @t124 () (not @t105)) % 0.37/0.58 (define @t125 () (not @t122)) % 0.37/0.58 (define @t126 () (=> @t125 @t124)) % 0.37/0.58 (define @t127 () (not @t3)) % 0.37/0.58 (define @t128 () (not @t5)) % 0.37/0.58 (define @t129 () (not @t7)) % 0.37/0.58 (define @t130 () (not @t8)) % 0.37/0.58 (define @t131 () (not @t9)) % 0.37/0.58 (define @t132 () (not @t10)) % 0.37/0.58 (define @t133 () (not @t11)) % 0.37/0.58 (define @t134 () (not @t12)) % 0.37/0.58 (define @t135 () (not @t13)) % 0.37/0.58 (define @t136 () (not @t14)) % 0.37/0.58 (define @t137 () (not @t15)) % 0.37/0.58 (define @t138 () (not @t16)) % 0.37/0.58 (define @t139 () (not @t17)) % 0.37/0.58 (define @t140 () (not @t18)) % 0.37/0.58 (define @t141 () (or @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t128 @t127)) % 0.37/0.58 (define @t142 () (forall @t20 @t141)) % 0.37/0.58 (define @t143 () (not @t142)) % 0.37/0.58 (define @t144 () (not @t24)) % 0.37/0.58 (define @t145 () (not @t26)) % 0.37/0.58 (define @t146 () (not @t28)) % 0.37/0.58 (define @t147 () (not @t29)) % 0.37/0.58 (define @t148 () (not @t30)) % 0.37/0.58 (define @t149 () (not @t31)) % 0.37/0.58 (define @t150 () (not @t32)) % 0.37/0.58 (define @t151 () (not @t33)) % 0.37/0.58 (define @t152 () (not @t34)) % 0.37/0.58 (define @t153 () (not @t35)) % 0.37/0.58 (define @t154 () (not @t36)) % 0.37/0.58 (define @t155 () (not @t37)) % 0.37/0.58 (define @t156 () (not @t38)) % 0.37/0.58 (define @t157 () (not @t39)) % 0.37/0.58 (define @t158 () (or @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t144)) % 0.37/0.58 (define @t159 () (forall @t41 @t158)) % 0.37/0.58 (define @t160 () (not @t159)) % 0.37/0.58 (define @t161 () (=> @t160 @t143)) % 0.37/0.58 (define @t162 () (forall @t20 (not @t19))) % 0.37/0.58 (define @t163 () (not @t162)) % 0.37/0.58 (define @t164 () (forall @t41 (not @t40))) % 0.37/0.58 (define @t165 () (not @t164)) % 0.37/0.58 (define @t166 () (forall @t63 (not @t62))) % 0.37/0.58 (define @t167 () (not @t166)) % 0.37/0.58 (define @t168 () (forall @t84 (not @t83))) % 0.37/0.58 (define @t169 () (not @t168)) % 0.37/0.58 (define @t170 () (or @t157 @t156 @t155 @t149 @t148 @t147 @t154 @t153 @t152 @t151 @t150 @t146 @t145 @t144)) % 0.37/0.58 (define @t171 () (forall @t41 @t170)) % 0.37/0.58 (define @t172 () (@list false)) % 0.37/0.58 (define @t173 () (@list @t122)) % 0.37/0.58 (assume @p1 @t88) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (step @p3 :rule aci_norm :args ((= @t104 @t103))) % 0.37/0.58 (step @p4 :rule cong :premises (@p3) :args (@t105)) % 0.37/0.58 (step @p5 :rule symm :premises (@p4)) % 0.37/0.58 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t106 @t105))) % 0.37/0.58 (step @p7 :rule true_elim :premises (@p6)) % 0.37/0.58 (step @p8 :rule quant_var_reordering :args ((= (forall (@list @t44 @t45 @t47 @t49) @t103) @t106))) % 0.37/0.58 (step @p9 :rule alpha_equiv :args (@t122 @t123 (@list @t44 @t45 @t47 @t49))) % 0.37/0.58 (step @p10 :rule trans :premises (@p9 @p8 @p7)) % 0.37/0.58 (step @p11 :rule equiv_elim2 :premises (@p10)) % 0.37/0.58 (step @p12 :rule alpha_equiv :args (@t122 @t123 (@list @t1 @t2 @t4 @t6))) % 0.37/0.58 (step @p13 :rule equiv_elim2 :premises (@p12)) % 0.37/0.58 (step @p14 :rule bool-double-not-elim :args (@t105)) % 0.37/0.58 (step @p15 :rule refl :args (@t126)) % 0.37/0.58 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t126 (not @t124)))) % 0.37/0.58 (step @p17 :rule cnf_implies_neg2 :args (@t126)) % 0.37/0.58 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.37/0.58 (step @p19 :rule reordering :premises (@p18) :args ((or @t105 @t126))) % 0.37/0.58 (step @p20 :rule bool-double-not-elim :args (@t142)) % 0.37/0.58 (step @p21 :rule refl :args (@t161)) % 0.37/0.58 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t161 (not @t143)))) % 0.37/0.58 (step @p23 :rule cnf_implies_neg2 :args (@t161)) % 0.37/0.58 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.37/0.58 (step @p25 :rule reordering :premises (@p24) :args ((or @t142 @t161))) % 0.37/0.58 (step @p26 :rule aci_norm :args ((= (or @t140 (or @t139 (or @t138 (or @t137 (or @t136 (or @t135 (or @t134 (or @t133 (or @t132 (or @t131 (or @t130 (or @t129 (or @t128 @t127))))))))))))) @t141))) % 0.37/0.58 (step @p27 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.37/0.58 (step @p28 :rule refl :args (@t129)) % 0.37/0.58 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t129 (not (and @t5 @t3))))) % 0.37/0.58 (step @p30 :rule bool-and-de-morgan :args (@t7 @t5 (and @t3))) % 0.37/0.58 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.58 (step @p32 :rule refl :args (@t130)) % 0.37/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t130 (not (and @t7 @t5 @t3))))) % 0.37/0.58 (step @p34 :rule bool-and-de-morgan :args (@t8 @t7 (and @t5 @t3))) % 0.37/0.58 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.58 (step @p36 :rule refl :args (@t131)) % 0.37/0.58 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t131 (not (and @t8 @t7 @t5 @t3))))) % 0.37/0.58 (step @p38 :rule bool-and-de-morgan :args (@t9 @t8 (and @t7 @t5 @t3))) % 0.37/0.58 (step @p39 :rule trans :premises (@p38 @p37)) % 0.37/0.58 (step @p40 :rule refl :args (@t132)) % 0.37/0.58 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t132 (not (and @t9 @t8 @t7 @t5 @t3))))) % 0.37/0.58 (step @p42 :rule bool-and-de-morgan :args (@t10 @t9 (and @t8 @t7 @t5 @t3))) % 0.37/0.58 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.58 (step @p44 :rule refl :args (@t133)) % 0.37/0.58 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t133 (not (and @t10 @t9 @t8 @t7 @t5 @t3))))) % 0.37/0.58 (step @p46 :rule bool-and-de-morgan :args (@t11 @t10 (and @t9 @t8 @t7 @t5 @t3))) % 0.37/0.58 (step @p47 :rule trans :premises (@p46 @p45)) % 0.37/0.58 (step @p48 :rule refl :args (@t134)) % 0.37/0.58 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t134 (not (and @t11 @t10 @t9 @t8 @t7 @t5 @t3))))) % 0.37/0.58 (step @p50 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10 @t9 @t8 @t7 @t5 @t3))) % 0.37/0.58 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.58 (step @p52 :rule refl :args (@t135)) % 0.37/0.58 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t135 (not (and @t12 @t11 @t10 @t9 @t8 @t7 @t5 @t3))))) % 0.37/0.58 (step @p54 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t10 @t9 @t8 @t7 @t5 @t3))) % 0.37/0.58 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.58 (step @p56 :rule refl :args (@t136)) % 0.37/0.58 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t136 (not (and @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t5 @t3))))) % 0.37/0.58 (step @p58 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11 @t10 @t9 @t8 @t7 @t5 @t3))) % 0.37/0.58 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.58 (step @p60 :rule refl :args (@t137)) % 0.37/0.58 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t137 (not (and @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t5 @t3))))) % 0.37/0.58 (step @p62 :rule bool-and-de-morgan :args (@t15 @t14 (and @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t5 @t3))) % 0.37/0.58 (step @p63 :rule trans :premises (@p62 @p61)) % 0.37/0.58 (step @p64 :rule refl :args (@t138)) % 0.37/0.58 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t138 (not (and @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t5 @t3))))) % 0.37/0.58 (step @p66 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t5 @t3))) % 0.37/0.58 (step @p67 :rule trans :premises (@p66 @p65)) % 0.37/0.58 (step @p68 :rule refl :args (@t139)) % 0.37/0.58 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t139 (not (and @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t5 @t3))))) % 0.37/0.58 (step @p70 :rule bool-and-de-morgan :args (@t17 @t16 (and @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t5 @t3))) % 0.37/0.58 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.58 (step @p72 :rule refl :args (@t140)) % 0.37/0.58 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t140 (not (and @t17 @t16 @t15 @t14 @t13 @t12 @t11 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bool-and-de-morgan :args (@t28 @t26 (and @t24))) % 0.37/0.58 (step @p86 :rule trans :premises (@p85 @p84)) % 0.37/0.58 (step @p87 :rule refl :args (@t147)) % 0.37/0.58 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t147 (not (and @t28 @t26 @t24))))) % 0.37/0.58 (step @p89 :rule bool-and-de-morgan :args (@t29 @t28 (and @t26 @t24))) % 0.37/0.58 (step @p90 :rule trans :premises (@p89 @p88)) % 0.37/0.58 (step @p91 :rule refl :args (@t148)) % 0.37/0.58 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t148 (not (and @t29 @t28 @t26 @t24))))) % 0.37/0.58 (step @p93 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t26 @t24))) % 0.37/0.58 (step @p94 :rule trans :premises (@p93 @p92)) % 0.37/0.58 (step @p95 :rule refl :args (@t149)) % 0.37/0.58 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t149 (not (and @t30 @t29 @t28 @t26 @t24))))) % 0.37/0.58 (step @p97 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t28 @t26 @t24))) % 0.37/0.58 (step @p98 :rule trans :premises (@p97 @p96)) % 0.37/0.58 (step @p99 :rule refl :args (@t150)) % 0.37/0.58 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t150 (not (and @t31 @t30 @t29 @t28 @t26 @t24))))) % 0.37/0.58 (step @p101 :rule bool-and-de-morgan :args (@t32 @t31 (and @t30 @t29 @t28 @t26 @t24))) % 0.37/0.58 (step @p102 :rule trans :premises (@p101 @p100)) % 0.37/0.58 (step @p103 :rule refl :args (@t151)) % 0.37/0.58 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t151 (not (and @t32 @t31 @t30 @t29 @t28 @t26 @t24))))) % 0.37/0.58 (step @p105 :rule bool-and-de-morgan :args (@t33 @t32 (and @t31 @t30 @t29 @t28 @t26 @t24))) % 0.37/0.58 (step @p106 :rule trans :premises (@p105 @p104)) % 0.37/0.58 (step @p107 :rule refl :args (@t152)) % 0.37/0.58 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t152 (not (and @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))))) % 0.37/0.58 (step @p109 :rule bool-and-de-morgan :args (@t34 @t33 (and @t32 @t31 @t30 @t29 @t28 @t26 @t24))) % 0.37/0.58 (step @p110 :rule trans :premises (@p109 @p108)) % 0.37/0.58 (step @p111 :rule refl :args (@t153)) % 0.37/0.58 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t153 (not (and @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))))) % 0.37/0.58 (step @p113 :rule bool-and-de-morgan :args (@t35 @t34 (and @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))) % 0.37/0.58 (step @p114 :rule trans :premises (@p113 @p112)) % 0.37/0.58 (step @p115 :rule refl :args (@t154)) % 0.37/0.58 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t154 (not (and @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))))) % 0.37/0.58 (step @p117 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))) % 0.37/0.58 (step @p118 :rule trans :premises (@p117 @p116)) % 0.37/0.58 (step @p119 :rule refl :args (@t155)) % 0.37/0.58 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t155 (not (and @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))))) % 0.37/0.58 (step @p121 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))) % 0.37/0.58 (step @p122 :rule trans :premises (@p121 @p120)) % 0.37/0.58 (step @p123 :rule refl :args (@t156)) % 0.37/0.58 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t156 (not (and @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))))) % 0.37/0.58 (step @p125 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))) % 0.37/0.58 (step @p126 :rule trans :premises (@p125 @p124)) % 0.37/0.58 (step @p127 :rule refl :args (@t157)) % 0.37/0.58 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t157 (not (and @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))))) % 0.37/0.58 (step @p129 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t26 @t24))) % 0.37/0.58 (step @p130 :rule trans :premises (@p129 @p128)) % 0.37/0.58 (step @p131 :rule trans :premises (@p130 @p81)) % 0.37/0.58 (step @p132 :rule cong :premises (@p131) :args (@t164)) % 0.37/0.58 (step @p133 :rule cong :premises (@p132) :args (@t165)) % 0.37/0.58 (step @p134 :rule exists-elim :args ((= @t42 @t165))) % 0.37/0.58 (step @p135 :rule trans :premises (@p134 @p133)) % 0.37/0.58 (step @p136 :rule cong :premises (@p135 @p80) :args (@t43)) % 0.37/0.58 (step @p137 :rule aci_norm :args ((= (or @t102 (or @t101 (or @t100 (or @t96 (or @t95 (or @t94 (or @t93 (or @t92 (or @t99 (or @t98 (or @t97 (or @t91 (or @t90 @t89))))))))))))) @t104))) % 0.37/0.58 (step @p138 :rule bool-and-de-morgan :args (@t48 @t46 true)) % 0.37/0.58 (step @p139 :rule refl :args (@t91)) % 0.37/0.58 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t91 (not (and @t48 @t46))))) % 0.37/0.58 (step @p141 :rule bool-and-de-morgan :args (@t50 @t48 (and @t46))) % 0.37/0.58 (step @p142 :rule trans :premises (@p141 @p140)) % 0.37/0.58 (step @p143 :rule refl :args (@t97)) % 0.37/0.58 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t97 (not (and @t50 @t48 @t46))))) % 0.37/0.58 (step @p145 :rule bool-and-de-morgan :args (@t51 @t50 (and @t48 @t46))) % 0.37/0.58 (step @p146 :rule trans :premises (@p145 @p144)) % 0.37/0.58 (step @p147 :rule refl :args (@t98)) % 0.37/0.58 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t98 (not (and @t51 @t50 @t48 @t46))))) % 0.37/0.58 (step @p149 :rule bool-and-de-morgan :args (@t52 @t51 (and @t50 @t48 @t46))) % 0.37/0.58 (step @p150 :rule trans :premises (@p149 @p148)) % 0.37/0.58 (step @p151 :rule refl :args (@t99)) % 0.37/0.58 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t99 (not (and @t52 @t51 @t50 @t48 @t46))))) % 0.37/0.58 (step @p153 :rule bool-and-de-morgan :args (@t53 @t52 (and @t51 @t50 @t48 @t46))) % 0.37/0.58 (step @p154 :rule trans :premises (@p153 @p152)) % 0.37/0.58 (step @p155 :rule refl :args (@t92)) % 0.37/0.58 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t92 (not (and @t53 @t52 @t51 @t50 @t48 @t46))))) % 0.37/0.58 (step @p157 :rule bool-and-de-morgan :args (@t54 @t53 (and @t52 @t51 @t50 @t48 @t46))) % 0.37/0.58 (step @p158 :rule trans :premises (@p157 @p156)) % 0.37/0.58 (step @p159 :rule refl :args (@t93)) % 0.37/0.58 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t93 (not (and @t54 @t53 @t52 @t51 @t50 @t48 @t46))))) % 0.37/0.58 (step @p161 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53 @t52 @t51 @t50 @t48 @t46))) % 0.37/0.58 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.58 (step @p163 :rule refl :args (@t94)) % 0.37/0.58 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t94 (not (and @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))))) % 0.37/0.58 (step @p165 :rule bool-and-de-morgan :args (@t56 @t55 (and @t54 @t53 @t52 @t51 @t50 @t48 @t46))) % 0.37/0.58 (step @p166 :rule trans :premises (@p165 @p164)) % 0.37/0.58 (step @p167 :rule refl :args (@t95)) % 0.37/0.58 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t95 (not (and @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))))) % 0.37/0.58 (step @p169 :rule bool-and-de-morgan :args (@t57 @t56 (and @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))) % 0.37/0.58 (step @p170 :rule trans :premises (@p169 @p168)) % 0.37/0.58 (step @p171 :rule refl :args (@t96)) % 0.37/0.58 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t96 (not (and @t57 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))))) % 0.37/0.58 (step @p173 :rule bool-and-de-morgan :args (@t58 @t57 (and @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))) % 0.37/0.58 (step @p174 :rule trans :premises (@p173 @p172)) % 0.37/0.58 (step @p175 :rule refl :args (@t100)) % 0.37/0.58 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t100 (not (and @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))))) % 0.37/0.58 (step @p177 :rule bool-and-de-morgan :args (@t59 @t58 (and @t57 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))) % 0.37/0.58 (step @p178 :rule trans :premises (@p177 @p176)) % 0.37/0.58 (step @p179 :rule refl :args (@t101)) % 0.37/0.58 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t101 (not (and @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))))) % 0.37/0.58 (step @p181 :rule bool-and-de-morgan :args (@t60 @t59 (and @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))) % 0.37/0.58 (step @p182 :rule trans :premises (@p181 @p180)) % 0.37/0.58 (step @p183 :rule refl :args (@t102)) % 0.37/0.58 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t102 (not (and @t60 @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))))) % 0.37/0.58 (step @p185 :rule bool-and-de-morgan :args (@t61 @t60 (and @t59 @t58 @t57 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46))) % 0.37/0.58 (step @p186 :rule trans :premises (@p185 @p184)) % 0.37/0.58 (step @p187 :rule trans :premises (@p186 @p137)) % 0.37/0.58 (step @p188 :rule cong :premises (@p187) :args (@t166)) % 0.37/0.58 (step @p189 :rule cong :premises (@p188) :args (@t167)) % 0.37/0.58 (step @p190 :rule exists-elim :args ((= @t64 @t167))) % 0.37/0.58 (step @p191 :rule trans :premises (@p190 @p189)) % 0.37/0.58 (step @p192 :rule aci_norm :args ((= (or @t120 (or @t119 (or @t118 (or @t117 (or @t116 (or @t115 (or @t114 (or @t113 (or @t112 (or @t111 (or @t110 (or @t109 (or @t108 @t107))))))))))))) @t121))) % 0.37/0.58 (step @p193 :rule bool-and-de-morgan :args (@t69 @t67 true)) % 0.37/0.58 (step @p194 :rule refl :args (@t109)) % 0.37/0.58 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t109 (not (and @t69 @t67))))) % 0.37/0.58 (step @p196 :rule bool-and-de-morgan :args (@t71 @t69 (and @t67))) % 0.37/0.58 (step @p197 :rule trans :premises (@p196 @p195)) % 0.37/0.58 (step @p198 :rule refl :args (@t110)) % 0.37/0.58 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or @t110 (not (and @t71 @t69 @t67))))) % 0.37/0.59 (step @p200 :rule bool-and-de-morgan :args (@t72 @t71 (and @t69 @t67))) % 0.37/0.59 (step @p201 :rule trans :premises (@p200 @p199)) % 0.37/0.59 (step @p202 :rule refl :args (@t111)) % 0.37/0.59 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t111 (not (and @t72 @t71 @t69 @t67))))) % 0.37/0.59 (step @p204 :rule bool-and-de-morgan :args (@t73 @t72 (and @t71 @t69 @t67))) % 0.37/0.59 (step @p205 :rule trans :premises (@p204 @p203)) % 0.37/0.59 (step @p206 :rule refl :args (@t112)) % 0.37/0.59 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or @t112 (not (and @t73 @t72 @t71 @t69 @t67))))) % 0.37/0.59 (step @p208 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72 @t71 @t69 @t67))) % 0.37/0.59 (step @p209 :rule trans :premises (@p208 @p207)) % 0.37/0.59 (step @p210 :rule refl :args (@t113)) % 0.37/0.59 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or @t113 (not (and @t74 @t73 @t72 @t71 @t69 @t67))))) % 0.37/0.59 (step @p212 :rule bool-and-de-morgan :args (@t75 @t74 (and @t73 @t72 @t71 @t69 @t67))) % 0.37/0.59 (step @p213 :rule trans :premises (@p212 @p211)) % 0.37/0.59 (step @p214 :rule refl :args (@t114)) % 0.37/0.59 (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or @t114 (not (and @t75 @t74 @t73 @t72 @t71 @t69 @t67))))) % 0.37/0.59 (step @p216 :rule bool-and-de-morgan :args (@t76 @t75 (and @t74 @t73 @t72 @t71 @t69 @t67))) % 0.37/0.59 (step @p217 :rule trans :premises (@p216 @p215)) % 0.37/0.59 (step @p218 :rule refl :args (@t115)) % 0.37/0.59 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t115 (not (and @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))))) % 0.37/0.59 (step @p220 :rule bool-and-de-morgan :args (@t77 @t76 (and @t75 @t74 @t73 @t72 @t71 @t69 @t67))) % 0.37/0.59 (step @p221 :rule trans :premises (@p220 @p219)) % 0.37/0.59 (step @p222 :rule refl :args (@t116)) % 0.37/0.59 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or @t116 (not (and @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))))) % 0.37/0.59 (step @p224 :rule bool-and-de-morgan :args (@t78 @t77 (and @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))) % 0.37/0.59 (step @p225 :rule trans :premises (@p224 @p223)) % 0.37/0.59 (step @p226 :rule refl :args (@t117)) % 0.37/0.59 (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or @t117 (not (and @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))))) % 0.37/0.59 (step @p228 :rule bool-and-de-morgan :args (@t79 @t78 (and @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))) % 0.37/0.59 (step @p229 :rule trans :premises (@p228 @p227)) % 0.37/0.59 (step @p230 :rule refl :args (@t118)) % 0.37/0.59 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or @t118 (not (and @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))))) % 0.37/0.59 (step @p232 :rule bool-and-de-morgan :args (@t80 @t79 (and @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))) % 0.37/0.59 (step @p233 :rule trans :premises (@p232 @p231)) % 0.37/0.59 (step @p234 :rule refl :args (@t119)) % 0.37/0.59 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t119 (not (and @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))))) % 0.37/0.59 (step @p236 :rule bool-and-de-morgan :args (@t81 @t80 (and @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))) % 0.37/0.59 (step @p237 :rule trans :premises (@p236 @p235)) % 0.37/0.59 (step @p238 :rule refl :args (@t120)) % 0.37/0.59 (step @p239 :rule nary_cong :premises (@p238 @p237) :args ((or @t120 (not (and @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))))) % 0.37/0.59 (step @p240 :rule bool-and-de-morgan :args (@t82 @t81 (and @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t69 @t67))) % 0.37/0.59 (step @p241 :rule trans :premises (@p240 @p239)) % 0.37/0.59 (step @p242 :rule trans :premises (@p241 @p192)) % 0.37/0.59 (step @p243 :rule cong :premises (@p242) :args (@t168)) % 0.37/0.59 (step @p244 :rule cong :premises (@p243) :args (@t169)) % 0.37/0.59 (step @p245 :rule exists-elim :args ((= @t85 @t169))) % 0.37/0.59 (step @p246 :rule trans :premises (@p245 @p244)) % 0.37/0.59 (step @p247 :rule cong :premises (@p246 @p191) :args (@t86)) % 0.37/0.59 (step @p248 :rule nary_cong :premises (@p247 @p136) :args (@t87)) % 0.37/0.59 (step @p249 :rule cong :premises (@p248) :args (@t88)) % 0.37/0.59 (step @p250 :rule eq_resolve :premises (@p1 @p249)) % 0.37/0.59 (step @p251 :rule not_and :premises (@p250)) % 0.37/0.59 (step @p252 :rule chain_m_resolution :premises (@p251 @p25 @p19 @p13 @p11) :args (@t122 (@list false false true true) (@list @t161 @t126 @t142 @t105))) % 0.37/0.59 (step @p253 :rule aci_norm :args ((= @t158 @t170))) % 0.37/0.59 (step @p254 :rule cong :premises (@p253) :args (@t159)) % 0.37/0.59 (step @p255 :rule symm :premises (@p254)) % 0.37/0.59 (step @p256 :rule cong :premises (@p255 @p254) :args ((= @t171 @t159))) % 0.37/0.59 (step @p257 :rule true_elim :premises (@p256)) % 0.37/0.59 (step @p258 :rule quant_var_reordering :args ((= (forall (@list @t22 @t23 @t25 @t27) @t170) @t171))) % 0.37/0.59 (step @p259 :rule alpha_equiv :args (@t122 @t123 (@list @t22 @t23 @t25 @t27))) % 0.37/0.59 (step @p260 :rule trans :premises (@p259 @p258 @p257)) % 0.37/0.59 (step @p261 :rule equiv_elim1 :premises (@p260)) % 0.37/0.59 (step @p262 :rule chain_m_resolution :premises (@p261 @p252) :args (@t159 @t172 @t173)) % 0.37/0.59 (step @p263 :rule cnf_implies_neg1 :args (@t126)) % 0.37/0.59 (step @p264 :rule reordering :premises (@p263) :args ((or @t125 @t126))) % 0.37/0.59 (step @p265 :rule chain_m_resolution :premises (@p264 @p252) :args (@t126 @t172 @t173)) % 0.37/0.59 (step @p266 :rule chain_m_resolution :premises (@p251 @p265) :args ((not @t161) @t172 (@list @t126))) % 0.37/0.59 (step @p267 :rule cnf_implies_neg1 :args (@t161)) % 0.37/0.59 (step @p268 :rule reordering :premises (@p267) :args ((or @t160 @t161))) % 0.37/0.59 (step @p269 false :rule chain_m_resolution :premises (@p268 @p266 @p262) :args (false (@list true false) (@list @t161 @t159))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------