%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG030+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:04:58 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG030+1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.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 : Wed Jun 3 01:37:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.sorti2 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.sorti1 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "V" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.op1 @t2 @t1)) % 0.38/0.57 (define @t4 () (tptp.sorti1 @t1)) % 0.38/0.57 (define @t5 () (@list @t1)) % 0.38/0.57 (define @t6 () (tptp.sorti1 @t2)) % 0.38/0.57 (define @t7 () (@list @t2)) % 0.38/0.57 (define @t8 () (tptp.op2 @t2 @t1)) % 0.38/0.57 (define @t9 () (tptp.sorti2 @t1)) % 0.38/0.57 (define @t10 () (tptp.sorti2 @t2)) % 0.38/0.57 (define @t11 () (= @t3 (tptp.op1 @t1 @t2))) % 0.38/0.57 (define @t12 () (forall @t5 (=> @t4 @t11))) % 0.38/0.57 (define @t13 () (=> @t6 @t12)) % 0.38/0.57 (define @t14 () (forall @t7 @t13)) % 0.38/0.57 (define @t15 () (not @t14)) % 0.38/0.57 (define @t16 () (= @t8 (tptp.op2 @t1 @t2))) % 0.38/0.57 (define @t17 () (forall @t5 (=> @t9 @t16))) % 0.38/0.57 (define @t18 () (=> @t10 @t17)) % 0.38/0.57 (define @t19 () (forall @t7 @t18)) % 0.38/0.57 (define @t20 () (@var "X2" $$unsorted)) % 0.38/0.57 (define @t21 () (tptp.j (tptp.h @t20))) % 0.38/0.57 (define @t22 () (tptp.sorti1 @t20)) % 0.38/0.57 (define @t23 () (=> @t22 (= @t21 @t20))) % 0.38/0.57 (define @t24 () (@list @t20)) % 0.38/0.57 (define @t25 () (forall @t24 @t23)) % 0.38/0.57 (define @t26 () (@var "X1" $$unsorted)) % 0.38/0.57 (define @t27 () (tptp.h (tptp.j @t26))) % 0.38/0.57 (define @t28 () (tptp.sorti2 @t26)) % 0.38/0.57 (define @t29 () (=> @t28 (= @t27 @t26))) % 0.38/0.57 (define @t30 () (@list @t26)) % 0.38/0.57 (define @t31 () (forall @t30 @t29)) % 0.38/0.57 (define @t32 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t33 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t34 () (tptp.j @t33)) % 0.38/0.57 (define @t35 () (= (tptp.j (tptp.op2 @t33 @t32)) (tptp.op1 @t34 (tptp.j @t32)))) % 0.38/0.57 (define @t36 () (tptp.sorti2 @t32)) % 0.38/0.57 (define @t37 () (@list @t32)) % 0.38/0.57 (define @t38 () (forall @t37 (=> @t36 @t35))) % 0.38/0.57 (define @t39 () (tptp.sorti2 @t33)) % 0.38/0.57 (define @t40 () (=> @t39 @t38)) % 0.38/0.57 (define @t41 () (@list @t33)) % 0.38/0.57 (define @t42 () (forall @t41 @t40)) % 0.38/0.57 (define @t43 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t44 () (@var "W" $$unsorted)) % 0.38/0.57 (define @t45 () (tptp.h @t44)) % 0.38/0.57 (define @t46 () (= (tptp.h (tptp.op1 @t44 @t43)) (tptp.op2 @t45 (tptp.h @t43)))) % 0.38/0.57 (define @t47 () (tptp.sorti1 @t43)) % 0.38/0.57 (define @t48 () (@list @t43)) % 0.38/0.57 (define @t49 () (forall @t48 (=> @t47 @t46))) % 0.38/0.57 (define @t50 () (tptp.sorti1 @t44)) % 0.38/0.57 (define @t51 () (=> @t50 @t49)) % 0.38/0.57 (define @t52 () (@list @t44)) % 0.38/0.57 (define @t53 () (forall @t52 @t51)) % 0.38/0.57 (define @t54 () (and @t53 @t42 @t31 @t25)) % 0.38/0.57 (define @t55 () (not @t54)) % 0.38/0.57 (define @t56 () (tptp.sorti1 (tptp.j @t1))) % 0.38/0.57 (define @t57 () (forall @t5 (=> @t9 @t56))) % 0.38/0.57 (define @t58 () (tptp.sorti2 (tptp.h @t2))) % 0.38/0.57 (define @t59 () (forall @t7 (=> @t6 @t58))) % 0.38/0.57 (define @t60 () (and @t59 @t57)) % 0.38/0.57 (define @t61 () (=> @t60 @t55)) % 0.38/0.57 (define @t62 () (not @t61)) % 0.38/0.57 (define @t63 () (@var "BOUND_VARIABLE_7560" $$unsorted)) % 0.38/0.57 (define @t64 () (= (tptp.op1 @t2 @t63) (tptp.op1 @t63 @t2))) % 0.38/0.57 (define @t65 () (not (tptp.sorti1 @t63))) % 0.38/0.57 (define @t66 () (not @t6)) % 0.38/0.57 (define @t67 () (or @t66 @t65 @t64)) % 0.38/0.57 (define @t68 () (or @t65 @t64)) % 0.38/0.57 (define @t69 () (or @t66 @t68)) % 0.38/0.57 (define @t70 () (@list @t2 @t63)) % 0.38/0.57 (define @t71 () (forall @t70 @t69)) % 0.38/0.57 (define @t72 () (@list @t63)) % 0.38/0.57 (define @t73 () (forall @t72 @t69)) % 0.38/0.57 (define @t74 () (forall @t72 @t68)) % 0.38/0.57 (define @t75 () (@list @t1)) % 0.38/0.57 (define @t76 () (or @t66 @t74)) % 0.38/0.57 (define @t77 () (forall @t5 (or (not @t4) @t11))) % 0.38/0.57 (define @t78 () (forall @t70 @t67)) % 0.38/0.57 (define @t79 () (@quantifiers_skolemize @t78 0)) % 0.38/0.57 (define @t80 () (@quantifiers_skolemize @t78 1)) % 0.38/0.57 (define @t81 () (tptp.op1 @t80 @t79)) % 0.38/0.57 (define @t82 () (= (tptp.op1 @t79 @t80) @t81)) % 0.38/0.57 (define @t83 () (tptp.sorti1 @t80)) % 0.38/0.57 (define @t84 () (not @t83)) % 0.38/0.57 (define @t85 () (tptp.sorti1 @t79)) % 0.38/0.57 (define @t86 () (not @t85)) % 0.38/0.57 (define @t87 () (or @t86 @t84 @t82)) % 0.38/0.57 (define @t88 () (not @t82)) % 0.38/0.57 (define @t89 () (@list true)) % 0.38/0.57 (define @t90 () (@list @t87)) % 0.38/0.57 (define @t91 () (= @t20 @t21)) % 0.38/0.57 (define @t92 () (= @t26 @t27)) % 0.38/0.57 (define @t93 () (@var "BOUND_VARIABLE_7631" $$unsorted)) % 0.38/0.57 (define @t94 () (= (tptp.j (tptp.op2 @t33 @t93)) (tptp.op1 @t34 (tptp.j @t93)))) % 0.38/0.57 (define @t95 () (not (tptp.sorti2 @t93))) % 0.38/0.57 (define @t96 () (not @t39)) % 0.38/0.57 (define @t97 () (or @t95 @t94)) % 0.38/0.57 (define @t98 () (or @t96 @t97)) % 0.38/0.57 (define @t99 () (forall (@list @t33 @t93) @t98)) % 0.38/0.57 (define @t100 () (@list @t93)) % 0.38/0.57 (define @t101 () (forall @t100 @t98)) % 0.38/0.57 (define @t102 () (forall @t100 @t97)) % 0.38/0.57 (define @t103 () (or @t96 @t102)) % 0.38/0.57 (define @t104 () (forall @t37 (or (not @t36) @t35))) % 0.38/0.57 (define @t105 () (@var "BOUND_VARIABLE_7608" $$unsorted)) % 0.38/0.57 (define @t106 () (= (tptp.h (tptp.op1 @t44 @t105)) (tptp.op2 @t45 (tptp.h @t105)))) % 0.38/0.57 (define @t107 () (not (tptp.sorti1 @t105))) % 0.38/0.57 (define @t108 () (not @t50)) % 0.38/0.57 (define @t109 () (or @t107 @t106)) % 0.38/0.57 (define @t110 () (or @t108 @t109)) % 0.38/0.57 (define @t111 () (forall (@list @t44 @t105) @t110)) % 0.38/0.57 (define @t112 () (@list @t105)) % 0.38/0.57 (define @t113 () (forall @t112 @t110)) % 0.38/0.57 (define @t114 () (forall @t112 @t109)) % 0.38/0.57 (define @t115 () (or @t108 @t114)) % 0.38/0.57 (define @t116 () (forall @t48 (or (not @t47) @t46))) % 0.38/0.57 (define @t117 () (tptp.h @t79)) % 0.38/0.57 (define @t118 () (tptp.h @t80)) % 0.38/0.57 (define @t119 () (tptp.op2 @t118 @t117)) % 0.38/0.57 (define @t120 () (tptp.h @t81)) % 0.38/0.57 (define @t121 () (= @t120 @t119)) % 0.38/0.57 (define @t122 () (or @t84 @t86 @t121)) % 0.38/0.57 (define @t123 () (@list false false false)) % 0.38/0.57 (define @t124 () (@list @t79)) % 0.38/0.57 (define @t125 () (tptp.j @t117)) % 0.38/0.57 (define @t126 () (= @t79 @t125)) % 0.38/0.57 (define @t127 () (or @t86 @t126)) % 0.38/0.57 (define @t128 () (@list false false)) % 0.38/0.57 (define @t129 () (@list @t80)) % 0.38/0.57 (define @t130 () (tptp.j @t118)) % 0.38/0.57 (define @t131 () (= @t80 @t130)) % 0.38/0.57 (define @t132 () (or @t84 @t131)) % 0.38/0.57 (define @t133 () (@var "BOUND_VARIABLE_7581" $$unsorted)) % 0.38/0.57 (define @t134 () (= (tptp.op2 @t2 @t133) (tptp.op2 @t133 @t2))) % 0.38/0.57 (define @t135 () (not (tptp.sorti2 @t133))) % 0.38/0.57 (define @t136 () (not @t10)) % 0.38/0.57 (define @t137 () (or @t135 @t134)) % 0.38/0.57 (define @t138 () (or @t136 @t137)) % 0.38/0.57 (define @t139 () (forall (@list @t2 @t133) @t138)) % 0.38/0.57 (define @t140 () (@list @t133)) % 0.38/0.57 (define @t141 () (forall @t140 @t138)) % 0.38/0.57 (define @t142 () (forall @t140 @t137)) % 0.38/0.57 (define @t143 () (or @t136 @t142)) % 0.38/0.57 (define @t144 () (forall @t5 (or (not @t9) @t16))) % 0.38/0.57 (define @t145 () (@list @t117 @t118)) % 0.38/0.57 (define @t146 () (tptp.sorti2 @t118)) % 0.38/0.57 (define @t147 () (or @t84 @t146)) % 0.38/0.57 (define @t148 () (tptp.sorti2 @t117)) % 0.38/0.57 (define @t149 () (or @t86 @t148)) % 0.38/0.57 (define @t150 () (tptp.op2 @t117 @t118)) % 0.38/0.57 (define @t151 () (= @t150 @t119)) % 0.38/0.57 (define @t152 () (not @t146)) % 0.38/0.57 (define @t153 () (not @t148)) % 0.38/0.57 (define @t154 () (or @t153 @t152 @t151)) % 0.38/0.57 (define @t155 () (tptp.op1 @t125 @t130)) % 0.38/0.57 (define @t156 () (= (tptp.j @t150) @t155)) % 0.38/0.57 (define @t157 () (or @t153 @t152 @t156)) % 0.38/0.57 (define @t158 () (tptp.op1 @t130 @t125)) % 0.38/0.57 (define @t159 () (tptp.j @t119)) % 0.38/0.57 (define @t160 () (= @t159 @t158)) % 0.38/0.57 (define @t161 () (or @t152 @t153 @t160)) % 0.38/0.57 (define @t162 () (not @t160)) % 0.38/0.57 (define @t163 () (not @t156)) % 0.38/0.57 (define @t164 () (not @t151)) % 0.38/0.57 (define @t165 () (not @t131)) % 0.38/0.57 (define @t166 () (not @t126)) % 0.38/0.57 (define @t167 () (not @t121)) % 0.38/0.57 (define @t168 () (and @t88 @t121 @t126 @t131 @t151 @t156)) % 0.38/0.57 (assume @p1 (forall @t7 (=> @t6 (forall @t5 (=> @t4 (tptp.sorti1 @t3)))))) % 0.38/0.57 (assume @p2 (forall @t7 (=> @t10 (forall @t5 (=> @t9 (tptp.sorti2 @t8)))))) % 0.38/0.57 (assume @p3 @t15) % 0.38/0.57 (assume @p4 (not (not @t19))) % 0.38/0.57 (assume @p5 @t62) % 0.38/0.57 (assume @p6 true) % 0.38/0.57 (step @p7 :rule aci_norm :args ((= @t69 @t67))) % 0.38/0.57 (step @p8 :rule cong :premises (@p7) :args (@t71)) % 0.38/0.57 (step @p9 :rule quant-merge-prenex :args ((= (forall @t7 @t73) @t71))) % 0.38/0.57 (step @p10 :rule alpha_equiv :args (@t74 (@list @t63) @t75)) % 0.38/0.57 (step @p11 :rule refl :args (@t66)) % 0.38/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t76)) % 0.38/0.57 (step @p13 :rule quant-miniscope-or :args ((= @t73 @t76))) % 0.38/0.57 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.57 (step @p15 :rule symm :premises (@p14)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15) :args ((forall @t7 (or @t66 @t77)))) % 0.38/0.57 (step @p17 :rule trans :premises (@p16 @p9)) % 0.38/0.57 (step @p18 :rule trans :premises (@p17 @p8)) % 0.38/0.57 (step @p19 :rule bool-impl-elim :args (@t6 @t77)) % 0.38/0.57 (step @p20 :rule cong :premises (@p19) :args ((forall @t7 (=> @t6 @t77)))) % 0.38/0.57 (step @p21 :rule trans :premises (@p20 @p18)) % 0.38/0.57 (step @p22 :rule bool-impl-elim :args (@t4 @t11)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22) :args (@t12)) % 0.38/0.57 (step @p24 :rule refl :args (@t6)) % 0.38/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args (@t13)) % 0.38/0.57 (step @p26 :rule cong :premises (@p25) :args (@t14)) % 0.38/0.57 (step @p27 :rule trans :premises (@p26 @p21)) % 0.38/0.57 (step @p28 :rule cong :premises (@p27) :args (@t15)) % 0.38/0.57 (step @p29 :rule eq_resolve :premises (@p3 @p28)) % 0.38/0.57 (step @p30 :rule skolemize :premises (@p29)) % 0.38/0.57 (step @p31 :rule cnf_or_neg :args (@t87 2)) % 0.38/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p30) :args (@t88 @t89 @t90)) % 0.38/0.57 (step @p33 :rule bool-impl-elim :args (@t22 @t91)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33) :args ((forall @t24 (=> @t22 @t91)))) % 0.38/0.57 (step @p35 :rule eq-symm :args (@t21 @t20)) % 0.38/0.57 (step @p36 :rule refl :args (@t22)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t23)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t25)) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p34)) % 0.38/0.57 (step @p40 :rule bool-impl-elim :args (@t28 @t92)) % 0.38/0.57 (step @p41 :rule cong :premises (@p40) :args ((forall @t30 (=> @t28 @t92)))) % 0.38/0.57 (step @p42 :rule eq-symm :args (@t27 @t26)) % 0.38/0.57 (step @p43 :rule refl :args (@t28)) % 0.38/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args (@t29)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44) :args (@t31)) % 0.38/0.57 (step @p46 :rule trans :premises (@p45 @p41)) % 0.38/0.57 (step @p47 :rule aci_norm :args ((= @t98 (or @t96 @t95 @t94)))) % 0.38/0.57 (step @p48 :rule cong :premises (@p47) :args (@t99)) % 0.38/0.57 (step @p49 :rule quant-merge-prenex :args ((= (forall @t41 @t101) @t99))) % 0.38/0.57 (step @p50 :rule alpha_equiv :args (@t102 (@list @t93) (@list @t32))) % 0.38/0.57 (step @p51 :rule refl :args (@t96)) % 0.38/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t103)) % 0.38/0.57 (step @p53 :rule quant-miniscope-or :args ((= @t101 @t103))) % 0.38/0.57 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.57 (step @p55 :rule symm :premises (@p54)) % 0.38/0.57 (step @p56 :rule cong :premises (@p55) :args ((forall @t41 (or @t96 @t104)))) % 0.38/0.57 (step @p57 :rule trans :premises (@p56 @p49)) % 0.38/0.57 (step @p58 :rule trans :premises (@p57 @p48)) % 0.38/0.57 (step @p59 :rule bool-impl-elim :args (@t39 @t104)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args ((forall @t41 (=> @t39 @t104)))) % 0.38/0.57 (step @p61 :rule trans :premises (@p60 @p58)) % 0.38/0.57 (step @p62 :rule bool-impl-elim :args (@t36 @t35)) % 0.38/0.57 (step @p63 :rule cong :premises (@p62) :args (@t38)) % 0.38/0.57 (step @p64 :rule refl :args (@t39)) % 0.38/0.57 (step @p65 :rule cong :premises (@p64 @p63) :args (@t40)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65) :args (@t42)) % 0.38/0.57 (step @p67 :rule trans :premises (@p66 @p61)) % 0.38/0.57 (step @p68 :rule aci_norm :args ((= @t110 (or @t108 @t107 @t106)))) % 0.38/0.57 (step @p69 :rule cong :premises (@p68) :args (@t111)) % 0.38/0.57 (step @p70 :rule quant-merge-prenex :args ((= (forall @t52 @t113) @t111))) % 0.38/0.57 (step @p71 :rule alpha_equiv :args (@t114 (@list @t105) (@list @t43))) % 0.38/0.57 (step @p72 :rule refl :args (@t108)) % 0.38/0.57 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t115)) % 0.38/0.57 (step @p74 :rule quant-miniscope-or :args ((= @t113 @t115))) % 0.38/0.57 (step @p75 :rule trans :premises (@p74 @p73)) % 0.38/0.57 (step @p76 :rule symm :premises (@p75)) % 0.38/0.57 (step @p77 :rule cong :premises (@p76) :args ((forall @t52 (or @t108 @t116)))) % 0.38/0.57 (step @p78 :rule trans :premises (@p77 @p70)) % 0.38/0.57 (step @p79 :rule trans :premises (@p78 @p69)) % 0.38/0.57 (step @p80 :rule bool-impl-elim :args (@t50 @t116)) % 0.38/0.57 (step @p81 :rule cong :premises (@p80) :args ((forall @t52 (=> @t50 @t116)))) % 0.38/0.57 (step @p82 :rule trans :premises (@p81 @p79)) % 0.38/0.57 (step @p83 :rule bool-impl-elim :args (@t47 @t46)) % 0.38/0.57 (step @p84 :rule cong :premises (@p83) :args (@t49)) % 0.38/0.57 (step @p85 :rule refl :args (@t50)) % 0.38/0.57 (step @p86 :rule cong :premises (@p85 @p84) :args (@t51)) % 0.38/0.57 (step @p87 :rule cong :premises (@p86) :args (@t53)) % 0.38/0.57 (step @p88 :rule trans :premises (@p87 @p82)) % 0.38/0.57 (step @p89 :rule nary_cong :premises (@p88 @p67 @p46 @p39) :args (@t54)) % 0.38/0.57 (step @p90 :rule cong :premises (@p89) :args (@t55)) % 0.38/0.57 (step @p91 :rule bool-impl-elim :args (@t9 @t56)) % 0.38/0.57 (step @p92 :rule cong :premises (@p91) :args (@t57)) % 0.38/0.57 (step @p93 :rule bool-impl-elim :args (@t6 @t58)) % 0.38/0.57 (step @p94 :rule cong :premises (@p93) :args (@t59)) % 0.38/0.57 (step @p95 :rule nary_cong :premises (@p94 @p92) :args (@t60)) % 0.38/0.57 (step @p96 :rule cong :premises (@p95 @p90) :args (@t61)) % 0.38/0.57 (step @p97 :rule cong :premises (@p96) :args (@t62)) % 0.38/0.57 (step @p98 :rule eq_resolve :premises (@p5 @p97)) % 0.38/0.57 (step @p99 :rule not_implies_elim2 :premises (@p98)) % 0.38/0.57 (step @p100 :rule not_not_elim :premises (@p99)) % 0.38/0.57 (step @p101 :rule and_elim :premises (@p100) :args (0)) % 0.38/0.57 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t80 @t79))) % 0.38/0.57 (step @p103 :rule bool-double-not-elim :args (@t83)) % 0.38/0.57 (step @p104 :rule refl :args (@t87)) % 0.38/0.57 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t87 (not @t84)))) % 0.38/0.57 (step @p106 :rule cnf_or_neg :args (@t87 1)) % 0.38/0.57 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.38/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t83 @t87))) % 0.38/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p30) :args (@t83 @t89 @t90)) % 0.38/0.57 (step @p110 :rule bool-double-not-elim :args (@t85)) % 0.38/0.57 (step @p111 :rule nary_cong :premises (@p104 @p110) :args ((or @t87 (not @t86)))) % 0.38/0.57 (step @p112 :rule cnf_or_neg :args (@t87 0)) % 0.38/0.57 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.38/0.57 (step @p114 :rule reordering :premises (@p113) :args ((or @t85 @t87))) % 0.38/0.57 (step @p115 :rule chain_m_resolution :premises (@p114 @p30) :args (@t85 @t89 @t90)) % 0.38/0.57 (step @p116 :rule cnf_or_pos :args (@t122)) % 0.38/0.57 (step @p117 :rule reordering :premises (@p116) :args ((or @t86 @t84 @t121 (not @t122)))) % 0.38/0.57 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p109 @p102) :args (@t121 @t123 (@list @t85 @t83 @t122))) % 0.38/0.57 (step @p119 :rule and_elim :premises (@p100) :args (3)) % 0.38/0.57 (step @p120 :rule instantiate :premises (@p119) :args (@t124)) % 0.38/0.57 (step @p121 :rule cnf_or_pos :args (@t127)) % 0.38/0.57 (step @p122 :rule reordering :premises (@p121) :args ((or @t86 @t126 (not @t127)))) % 0.38/0.57 (step @p123 :rule chain_m_resolution :premises (@p122 @p115 @p120) :args (@t126 @t128 (@list @t85 @t127))) % 0.38/0.57 (step @p124 :rule instantiate :premises (@p119) :args (@t129)) % 0.38/0.57 (step @p125 :rule cnf_or_pos :args (@t132)) % 0.38/0.57 (step @p126 :rule reordering :premises (@p125) :args ((or @t84 @t131 (not @t132)))) % 0.38/0.57 (step @p127 :rule chain_m_resolution :premises (@p126 @p109 @p124) :args (@t131 @t128 (@list @t83 @t132))) % 0.38/0.57 (step @p128 :rule aci_norm :args ((= @t138 (or @t136 @t135 @t134)))) % 0.38/0.57 (step @p129 :rule cong :premises (@p128) :args (@t139)) % 0.38/0.57 (step @p130 :rule quant-merge-prenex :args ((= (forall @t7 @t141) @t139))) % 0.38/0.57 (step @p131 :rule alpha_equiv :args (@t142 (@list @t133) @t75)) % 0.38/0.57 (step @p132 :rule refl :args (@t136)) % 0.38/0.57 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t143)) % 0.38/0.57 (step @p134 :rule quant-miniscope-or :args ((= @t141 @t143))) % 0.38/0.57 (step @p135 :rule trans :premises (@p134 @p133)) % 0.38/0.57 (step @p136 :rule symm :premises (@p135)) % 0.38/0.57 (step @p137 :rule cong :premises (@p136) :args ((forall @t7 (or @t136 @t144)))) % 0.38/0.57 (step @p138 :rule trans :premises (@p137 @p130)) % 0.38/0.57 (step @p139 :rule trans :premises (@p138 @p129)) % 0.38/0.57 (step @p140 :rule bool-impl-elim :args (@t10 @t144)) % 0.38/0.57 (step @p141 :rule cong :premises (@p140) :args ((forall @t7 (=> @t10 @t144)))) % 0.38/0.57 (step @p142 :rule trans :premises (@p141 @p139)) % 0.38/0.57 (step @p143 :rule bool-impl-elim :args (@t9 @t16)) % 0.38/0.57 (step @p144 :rule cong :premises (@p143) :args (@t17)) % 0.38/0.57 (step @p145 :rule refl :args (@t10)) % 0.38/0.57 (step @p146 :rule cong :premises (@p145 @p144) :args (@t18)) % 0.38/0.57 (step @p147 :rule cong :premises (@p146) :args (@t19)) % 0.38/0.57 (step @p148 :rule trans :premises (@p147 @p142)) % 0.38/0.57 (step @p149 :rule bool-double-not-elim :args (@t19)) % 0.38/0.57 (step @p150 :rule trans :premises (@p149 @p148)) % 0.38/0.57 (step @p151 :rule eq_resolve :premises (@p4 @p150)) % 0.38/0.57 (step @p152 :rule instantiate :premises (@p151) :args (@t145)) % 0.38/0.57 (step @p153 :rule not_implies_elim1 :premises (@p98)) % 0.38/0.57 (step @p154 :rule and_elim :premises (@p153) :args (0)) % 0.38/0.57 (step @p155 :rule instantiate :premises (@p154) :args (@t129)) % 0.38/0.57 (step @p156 :rule cnf_or_pos :args (@t147)) % 0.38/0.57 (step @p157 :rule reordering :premises (@p156) :args ((or @t84 @t146 (not @t147)))) % 0.38/0.57 (step @p158 :rule chain_m_resolution :premises (@p157 @p109 @p155) :args (@t146 @t128 (@list @t83 @t147))) % 0.38/0.57 (step @p159 :rule instantiate :premises (@p154) :args (@t124)) % 0.38/0.57 (step @p160 :rule cnf_or_pos :args (@t149)) % 0.38/0.57 (step @p161 :rule reordering :premises (@p160) :args ((or @t86 @t148 (not @t149)))) % 0.38/0.57 (step @p162 :rule chain_m_resolution :premises (@p161 @p115 @p159) :args (@t148 @t128 (@list @t85 @t149))) % 0.38/0.57 (step @p163 :rule cnf_or_pos :args (@t154)) % 0.38/0.57 (step @p164 :rule reordering :premises (@p163) :args ((or @t153 @t152 @t151 (not @t154)))) % 0.38/0.57 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p158 @p152) :args (@t151 @t123 (@list @t148 @t146 @t154))) % 0.38/0.57 (step @p166 :rule and_elim :premises (@p100) :args (1)) % 0.38/0.57 (step @p167 :rule instantiate :premises (@p166) :args (@t145)) % 0.38/0.57 (step @p168 :rule cnf_or_pos :args (@t157)) % 0.38/0.57 (step @p169 :rule reordering :premises (@p168) :args ((or @t153 @t152 @t156 (not @t157)))) % 0.38/0.57 (step @p170 :rule chain_m_resolution :premises (@p169 @p162 @p158 @p167) :args (@t156 @t123 (@list @t148 @t146 @t157))) % 0.38/0.57 (step @p171 :rule instantiate :premises (@p166) :args ((@list @t118 @t117))) % 0.38/0.57 (step @p172 :rule cnf_or_pos :args (@t161)) % 0.38/0.57 (step @p173 :rule reordering :premises (@p172) :args ((or @t153 @t152 @t160 (not @t161)))) % 0.38/0.57 (step @p174 :rule chain_m_resolution :premises (@p173 @p162 @p158 @p171) :args (@t160 @t123 (@list @t148 @t146 @t161))) % 0.38/0.57 (step @p175 :rule refl :args (@t162)) % 0.38/0.57 (step @p176 :rule refl :args (@t163)) % 0.38/0.57 (step @p177 :rule refl :args (@t164)) % 0.38/0.57 (step @p178 :rule refl :args (@t165)) % 0.38/0.57 (step @p179 :rule refl :args (@t166)) % 0.38/0.57 (step @p180 :rule refl :args (@t167)) % 0.38/0.57 (step @p181 :rule bool-double-not-elim :args (@t82)) % 0.38/0.57 (step @p182 :rule nary_cong :premises (@p181 @p180 @p179 @p178 @p177 @p176 @p175) :args ((or (not @t88) @t167 @t166 @t165 @t164 @t163 @t162))) % 0.38/0.57 (assume-push @p215 @t88) % 0.38/0.57 (assume-push @p216 @t121) % 0.38/0.57 (assume-push @p217 @t126) % 0.38/0.57 (assume-push @p218 @t131) % 0.38/0.57 (assume-push @p219 @t151) % 0.38/0.57 (assume-push @p220 @t156) % 0.38/0.57 (step @p189 :rule false_intro :premises (@p32)) % 0.38/0.57 (step @p190 :rule symm :premises (@p123)) % 0.38/0.57 (step @p191 :rule symm :premises (@p127)) % 0.38/0.57 (step @p192 :rule cong :premises (@p191 @p190) :args (@t158)) % 0.38/0.57 (step @p193 :rule cong :premises (@p190 @p191) :args (@t155)) % 0.38/0.57 (step @p194 :rule symm :premises (@p165)) % 0.38/0.57 (step @p195 :rule trans :premises (@p118 @p194)) % 0.38/0.57 (step @p196 :rule cong :premises (@p195) :args ((tptp.j @t120))) % 0.38/0.57 (step @p197 :rule symm :premises (@p118)) % 0.38/0.57 (step @p198 :rule cong :premises (@p197) :args (@t159)) % 0.38/0.57 (step @p199 :rule trans :premises (@p198 @p196 @p170 @p193)) % 0.38/0.57 (step @p200 :rule cong :premises (@p199 @p192) :args (@t160)) % 0.38/0.57 (step @p201 :rule trans :premises (@p200 @p189)) % 0.38/0.57 (step @p202 :rule false_elim :premises (@p201)) % 0.38/0.57 (step-pop @p221 :rule scope :premises (@p202)) % 0.38/0.57 (step-pop @p222 :rule scope :premises (@p221)) % 0.38/0.57 (step-pop @p223 :rule scope :premises (@p222)) % 0.38/0.57 (step-pop @p224 :rule scope :premises (@p223)) % 0.38/0.57 (step-pop @p225 :rule scope :premises (@p224)) % 0.38/0.57 (step-pop @p226 :rule scope :premises (@p225)) % 0.38/0.57 (step @p203 :rule process_scope :premises (@p226) :args (@t162)) % 0.38/0.57 (step @p210 :rule implies_elim :premises (@p203)) % 0.38/0.57 (step @p211 :rule cnf_and_neg :args (@t168)) % 0.38/0.57 (step @p212 :rule resolution :premises (@p211 @p210) :args (true @t168)) % 0.38/0.57 (step @p213 :rule eq_resolve :premises (@p212 @p182)) % 0.38/0.57 (step @p214 false :rule chain_m_resolution :premises (@p213 @p174 @p170 @p165 @p127 @p123 @p118 @p32) :args (false (@list false false false false false false true) (@list @t160 @t156 @t151 @t131 @t126 @t121 @t82))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------