%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ128+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:44:15 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ128+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 13:18:11 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const |tptp.'Iokaste'| $$unsorted) % 0.37/0.59 (declare-const tptp.parent (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.relation (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.of $$unsorted) % 0.37/0.59 (declare-const |tptp.'Polyneikes'| $$unsorted) % 0.37/0.59 (declare-const |tptp.'Oedipus'| $$unsorted) % 0.37/0.59 (declare-const tptp.patricide (-> $$unsorted Bool)) % 0.37/0.59 (declare-const |tptp.'Thersandros'| $$unsorted) % 0.37/0.59 (define @t1 () (@var "F" $$unsorted)) % 0.37/0.59 (define @t2 () (= |tptp.'Thersandros'| @t1)) % 0.37/0.59 (define @t3 () (tptp.patricide @t1)) % 0.37/0.59 (define @t4 () (and @t3 @t2)) % 0.37/0.59 (define @t5 () (@list @t1)) % 0.37/0.59 (define @t6 () (exists @t5 @t4)) % 0.37/0.59 (define @t7 () (not @t6)) % 0.37/0.59 (define @t8 () (@var "E" $$unsorted)) % 0.37/0.59 (define @t9 () (= |tptp.'Oedipus'| @t8)) % 0.37/0.59 (define @t10 () (tptp.patricide @t8)) % 0.37/0.59 (define @t11 () (@var "D" $$unsorted)) % 0.37/0.59 (define @t12 () (= |tptp.'Polyneikes'| @t11)) % 0.37/0.59 (define @t13 () (tptp.relation @t11 tptp.of |tptp.'Thersandros'|)) % 0.37/0.59 (define @t14 () (tptp.parent @t11)) % 0.37/0.59 (define @t15 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t16 () (= |tptp.'Oedipus'| @t15)) % 0.37/0.59 (define @t17 () (tptp.relation @t15 tptp.of |tptp.'Polyneikes'|)) % 0.37/0.59 (define @t18 () (tptp.parent @t15)) % 0.37/0.59 (define @t19 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t20 () (= |tptp.'Iokaste'| @t19)) % 0.37/0.59 (define @t21 () (tptp.relation @t19 tptp.of |tptp.'Polyneikes'|)) % 0.37/0.59 (define @t22 () (tptp.parent @t19)) % 0.37/0.59 (define @t23 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t24 () (= |tptp.'Iokaste'| @t23)) % 0.37/0.59 (define @t25 () (tptp.relation @t23 tptp.of |tptp.'Oedipus'|)) % 0.37/0.59 (define @t26 () (tptp.parent @t23)) % 0.37/0.59 (define @t27 () (and @t26 @t25 @t24 @t22 @t21 @t20 @t18 @t17 @t16 @t14 @t13 @t12 @t10 @t9 @t7)) % 0.37/0.59 (define @t28 () (@list @t23 @t19 @t15 @t11 @t8)) % 0.37/0.59 (define @t29 () (exists @t28 @t27)) % 0.37/0.59 (define @t30 () (tptp.relation @t23 tptp.of @t19)) % 0.37/0.59 (define @t31 () (= @t19 @t15)) % 0.37/0.59 (define @t32 () (tptp.relation @t15 tptp.of @t11)) % 0.37/0.59 (define @t33 () (= @t11 @t8)) % 0.37/0.59 (define @t34 () (and @t10 @t33)) % 0.37/0.59 (define @t35 () (@list @t8)) % 0.37/0.59 (define @t36 () (exists @t35 @t34)) % 0.37/0.59 (define @t37 () (not @t36)) % 0.37/0.59 (define @t38 () (tptp.patricide @t19)) % 0.37/0.59 (define @t39 () (and @t26 @t38 @t18 true @t37 @t32 @t31 @t30 @t24)) % 0.37/0.59 (define @t40 () (@list @t23 @t19 @t15 @t11)) % 0.37/0.59 (define @t41 () (exists @t40 @t39)) % 0.37/0.59 (define @t42 () (not @t41)) % 0.37/0.59 (define @t43 () (tptp.relation |tptp.'Polyneikes'| tptp.of |tptp.'Thersandros'|)) % 0.37/0.59 (define @t44 () (not @t43)) % 0.37/0.59 (define @t45 () (tptp.parent |tptp.'Polyneikes'|)) % 0.37/0.59 (define @t46 () (not @t45)) % 0.37/0.59 (define @t47 () (tptp.relation |tptp.'Oedipus'| tptp.of |tptp.'Polyneikes'|)) % 0.37/0.59 (define @t48 () (not @t47)) % 0.37/0.59 (define @t49 () (tptp.parent |tptp.'Oedipus'|)) % 0.37/0.59 (define @t50 () (not @t49)) % 0.37/0.59 (define @t51 () (tptp.relation |tptp.'Iokaste'| tptp.of |tptp.'Polyneikes'|)) % 0.37/0.59 (define @t52 () (not @t51)) % 0.37/0.59 (define @t53 () (tptp.relation |tptp.'Iokaste'| tptp.of |tptp.'Oedipus'|)) % 0.37/0.59 (define @t54 () (not @t53)) % 0.37/0.59 (define @t55 () (tptp.parent |tptp.'Iokaste'|)) % 0.37/0.59 (define @t56 () (not @t55)) % 0.37/0.59 (define @t57 () (tptp.patricide |tptp.'Oedipus'|)) % 0.37/0.59 (define @t58 () (not @t57)) % 0.37/0.59 (define @t59 () (tptp.patricide |tptp.'Thersandros'|)) % 0.37/0.59 (define @t60 () (or @t46 @t44)) % 0.37/0.59 (define @t61 () (or @t50 @t48)) % 0.37/0.59 (define @t62 () (or @t56 @t52)) % 0.37/0.59 (define @t63 () (or @t56 @t54)) % 0.37/0.59 (define @t64 () (not (= |tptp.'Oedipus'| |tptp.'Oedipus'|))) % 0.37/0.59 (define @t65 () (or @t58 @t64)) % 0.37/0.59 (define @t66 () (not @t9)) % 0.37/0.59 (define @t67 () (not @t10)) % 0.37/0.59 (define @t68 () (or @t66 @t67 @t66)) % 0.37/0.59 (define @t69 () (or @t67 @t66)) % 0.37/0.59 (define @t70 () (forall @t35 @t69)) % 0.37/0.59 (define @t71 () (not (= |tptp.'Polyneikes'| |tptp.'Polyneikes'|))) % 0.37/0.59 (define @t72 () (or @t46 @t44 @t71)) % 0.37/0.59 (define @t73 () (not @t12)) % 0.37/0.59 (define @t74 () (not @t13)) % 0.37/0.59 (define @t75 () (not @t14)) % 0.37/0.59 (define @t76 () (@list @t11)) % 0.37/0.59 (define @t77 () (or @t73 @t75 @t74 @t73)) % 0.37/0.59 (define @t78 () (or @t75 @t74 @t73)) % 0.37/0.59 (define @t79 () (forall @t76 @t78)) % 0.37/0.59 (define @t80 () (or @t50 @t48 @t64)) % 0.37/0.59 (define @t81 () (not @t16)) % 0.37/0.59 (define @t82 () (not @t17)) % 0.37/0.59 (define @t83 () (not @t18)) % 0.37/0.59 (define @t84 () (@list @t15)) % 0.37/0.59 (define @t85 () (or @t81 @t83 @t82 @t81)) % 0.37/0.59 (define @t86 () (or @t83 @t82 @t81)) % 0.37/0.59 (define @t87 () (forall @t84 @t86)) % 0.37/0.59 (define @t88 () (not (= |tptp.'Iokaste'| |tptp.'Iokaste'|))) % 0.37/0.59 (define @t89 () (or @t56 @t52 @t88)) % 0.37/0.59 (define @t90 () (not @t20)) % 0.37/0.59 (define @t91 () (not @t21)) % 0.37/0.59 (define @t92 () (not @t22)) % 0.37/0.59 (define @t93 () (@list @t19)) % 0.37/0.59 (define @t94 () (or @t90 @t92 @t91 @t90)) % 0.37/0.59 (define @t95 () (or @t92 @t91 @t90)) % 0.37/0.59 (define @t96 () (forall @t93 @t95)) % 0.37/0.59 (define @t97 () (or @t56 @t54 @t88)) % 0.37/0.59 (define @t98 () (not @t24)) % 0.37/0.59 (define @t99 () (not @t25)) % 0.37/0.59 (define @t100 () (not @t26)) % 0.37/0.59 (define @t101 () (not (= @t23 |tptp.'Iokaste'|))) % 0.37/0.59 (define @t102 () (@list @t23)) % 0.37/0.59 (define @t103 () (or @t98 @t100 @t99 @t98)) % 0.37/0.59 (define @t104 () (or @t100 @t99 @t98)) % 0.37/0.59 (define @t105 () (forall @t102 @t104)) % 0.37/0.59 (define @t106 () (or @t59 @t105 @t96 @t87 @t79 @t70)) % 0.37/0.59 (define @t107 () (or @t59 @t104 @t95 @t86 @t78 @t69)) % 0.37/0.59 (define @t108 () (or @t100 @t99 @t98 @t92 @t91 @t90 @t83 @t82 @t81 @t75 @t74 @t73 @t67 @t66 @t59)) % 0.37/0.59 (define @t109 () (not @t59)) % 0.37/0.59 (define @t110 () (not @t109)) % 0.37/0.59 (define @t111 () (or @t100 @t99 @t98 @t92 @t91 @t90 @t83 @t82 @t81 @t75 @t74 @t73 @t67 @t66 @t110)) % 0.37/0.59 (define @t112 () (and @t26 @t25 @t24 @t22 @t21 @t20 @t18 @t17 @t16 @t14 @t13 @t12 @t10 @t9 @t109)) % 0.37/0.59 (define @t113 () (forall @t28 (not @t112))) % 0.37/0.59 (define @t114 () (not @t113)) % 0.37/0.59 (define @t115 () (not (= |tptp.'Thersandros'| |tptp.'Thersandros'|))) % 0.37/0.59 (define @t116 () (or @t109 @t115)) % 0.37/0.59 (define @t117 () (not @t2)) % 0.37/0.59 (define @t118 () (not @t3)) % 0.37/0.59 (define @t119 () (or @t117 @t118 @t117)) % 0.37/0.59 (define @t120 () (or @t118 @t117)) % 0.37/0.59 (define @t121 () (forall @t5 (not @t4))) % 0.37/0.59 (define @t122 () (not @t121)) % 0.37/0.59 (define @t123 () (not (tptp.relation |tptp.'Iokaste'| tptp.of @t15))) % 0.37/0.59 (define @t124 () (not @t32)) % 0.37/0.59 (define @t125 () (tptp.patricide @t11)) % 0.37/0.59 (define @t126 () (not (tptp.patricide @t15))) % 0.37/0.59 (define @t127 () (or @t126 @t83 @t125 @t124 @t123)) % 0.37/0.59 (define @t128 () (@list @t15 @t11)) % 0.37/0.59 (define @t129 () (forall @t128 @t127)) % 0.37/0.59 (define @t130 () (or @t56 @t129)) % 0.37/0.59 (define @t131 () (or @t56 @t127)) % 0.37/0.59 (define @t132 () (or @t56 @t126 @t83 @t125 @t124 @t123)) % 0.37/0.59 (define @t133 () (or @t56 @t126 @t83 @t125 @t124 @t123 @t88)) % 0.37/0.59 (define @t134 () (not (tptp.relation @t23 tptp.of @t15))) % 0.37/0.59 (define @t135 () (or @t98 @t100 @t126 @t83 @t125 @t124 @t134 @t98)) % 0.37/0.59 (define @t136 () (or @t100 @t126 @t83 @t125 @t124 @t134 @t98)) % 0.37/0.59 (define @t137 () (forall @t102 @t136)) % 0.37/0.59 (define @t138 () (forall @t128 @t137)) % 0.37/0.59 (define @t139 () (forall (@list @t15 @t11 @t23) @t136)) % 0.37/0.59 (define @t140 () (@list @t23 @t15 @t11)) % 0.37/0.59 (define @t141 () (not (= @t15 @t15))) % 0.37/0.59 (define @t142 () (or @t100 @t126 @t83 @t125 @t124 @t141 @t134 @t98)) % 0.37/0.59 (define @t143 () (not @t30)) % 0.37/0.59 (define @t144 () (not @t31)) % 0.37/0.59 (define @t145 () (not @t38)) % 0.37/0.59 (define @t146 () (or @t144 @t100 @t145 @t83 @t125 @t124 @t144 @t143 @t98)) % 0.37/0.59 (define @t147 () (or @t100 @t145 @t83 @t125 @t124 @t144 @t143 @t98)) % 0.37/0.59 (define @t148 () (forall @t93 @t147)) % 0.37/0.59 (define @t149 () (forall @t140 @t148)) % 0.37/0.59 (define @t150 () (forall (@list @t23 @t15 @t11 @t19) @t147)) % 0.37/0.59 (define @t151 () (not @t125)) % 0.37/0.59 (define @t152 () (not @t151)) % 0.37/0.59 (define @t153 () (or @t100 @t145 @t83 @t152 @t124 @t144 @t143 @t98)) % 0.37/0.59 (define @t154 () (and @t26 @t38 @t18 @t151 @t32 @t31 @t30 @t24)) % 0.37/0.59 (define @t155 () (forall @t40 (not @t154))) % 0.37/0.59 (define @t156 () (not @t155)) % 0.37/0.59 (define @t157 () (not (= @t11 @t11))) % 0.37/0.59 (define @t158 () (or @t151 @t157)) % 0.37/0.59 (define @t159 () (not @t33)) % 0.37/0.59 (define @t160 () (or @t159 @t67 @t159)) % 0.37/0.59 (define @t161 () (or @t67 @t159)) % 0.37/0.59 (define @t162 () (forall @t35 (not @t34))) % 0.37/0.59 (define @t163 () (not @t162)) % 0.37/0.59 (define @t164 () (and @t26 @t38 @t18 @t37 @t32 @t31 @t30 @t24)) % 0.37/0.59 (define @t165 () (tptp.patricide |tptp.'Polyneikes'|)) % 0.37/0.59 (define @t166 () (or @t58 @t50 @t165 @t48 @t54)) % 0.37/0.59 (define @t167 () (not @t165)) % 0.37/0.59 (define @t168 () (or @t167 @t46 @t59 @t44 @t52)) % 0.37/0.59 (assume @p1 @t29) % 0.37/0.59 (assume @p2 @t42) % 0.37/0.59 (assume @p3 true) % 0.37/0.59 (step @p4 :rule aci_norm :args ((= (or @t59 @t63 @t62 @t61 @t60 @t58) (or @t59 @t58 @t56 @t54 @t52 @t50 @t48 @t46 @t44)))) % 0.37/0.59 (step @p5 :rule aci_norm :args ((= (or @t58 false) @t58))) % 0.37/0.59 (step @p6 :rule evaluate :args ((not true))) % 0.37/0.59 (step @p7 :rule eq-refl :args (|tptp.'Oedipus'|)) % 0.37/0.59 (step @p8 :rule cong :premises (@p7) :args (@t64)) % 0.37/0.59 (step @p9 :rule trans :premises (@p8 @p6)) % 0.37/0.59 (step @p10 :rule refl :args (@t58)) % 0.37/0.59 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t65)) % 0.37/0.59 (step @p12 :rule trans :premises (@p11 @p5)) % 0.37/0.59 (step @p13 :rule quant-var-elim-eq :args ((= (forall @t35 (or (not (= @t8 |tptp.'Oedipus'|)) @t67 @t66)) @t65))) % 0.37/0.59 (step @p14 :rule refl :args (@t66)) % 0.37/0.59 (step @p15 :rule refl :args (@t67)) % 0.37/0.59 (step @p16 :rule eq-symm :args (|tptp.'Oedipus'| @t8)) % 0.37/0.59 (step @p17 :rule cong :premises (@p16) :args (@t66)) % 0.37/0.59 (step @p18 :rule nary_cong :premises (@p17 @p15 @p14) :args (@t68)) % 0.37/0.59 (step @p19 :rule aci_norm :args ((= @t69 @t68))) % 0.37/0.59 (step @p20 :rule trans :premises (@p19 @p18)) % 0.37/0.59 (step @p21 :rule cong :premises (@p20) :args (@t70)) % 0.37/0.59 (step @p22 :rule trans :premises (@p21 @p13)) % 0.37/0.59 (step @p23 :rule trans :premises (@p22 @p12)) % 0.37/0.59 (step @p24 :rule aci_norm :args ((= (or @t46 @t44 false) @t60))) % 0.37/0.59 (step @p25 :rule eq-refl :args (|tptp.'Polyneikes'|)) % 0.37/0.59 (step @p26 :rule cong :premises (@p25) :args (@t71)) % 0.37/0.59 (step @p27 :rule trans :premises (@p26 @p6)) % 0.37/0.59 (step @p28 :rule refl :args (@t44)) % 0.37/0.59 (step @p29 :rule refl :args (@t46)) % 0.37/0.59 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args (@t72)) % 0.37/0.59 (step @p31 :rule trans :premises (@p30 @p24)) % 0.37/0.59 (step @p32 :rule quant-var-elim-eq :args ((= (forall @t76 (or (not (= @t11 |tptp.'Polyneikes'|)) @t75 @t74 @t73)) @t72))) % 0.37/0.59 (step @p33 :rule refl :args (@t73)) % 0.37/0.59 (step @p34 :rule refl :args (@t74)) % 0.37/0.59 (step @p35 :rule refl :args (@t75)) % 0.37/0.59 (step @p36 :rule eq-symm :args (|tptp.'Polyneikes'| @t11)) % 0.37/0.59 (step @p37 :rule cong :premises (@p36) :args (@t73)) % 0.37/0.59 (step @p38 :rule nary_cong :premises (@p37 @p35 @p34 @p33) :args (@t77)) % 0.37/0.59 (step @p39 :rule aci_norm :args ((= @t78 @t77))) % 0.37/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.59 (step @p41 :rule cong :premises (@p40) :args (@t79)) % 0.37/0.59 (step @p42 :rule trans :premises (@p41 @p32)) % 0.37/0.59 (step @p43 :rule trans :premises (@p42 @p31)) % 0.37/0.59 (step @p44 :rule aci_norm :args ((= (or @t50 @t48 false) @t61))) % 0.37/0.59 (step @p45 :rule refl :args (@t48)) % 0.37/0.59 (step @p46 :rule refl :args (@t50)) % 0.37/0.59 (step @p47 :rule nary_cong :premises (@p46 @p45 @p9) :args (@t80)) % 0.37/0.59 (step @p48 :rule trans :premises (@p47 @p44)) % 0.37/0.59 (step @p49 :rule quant-var-elim-eq :args ((= (forall @t84 (or (not (= @t15 |tptp.'Oedipus'|)) @t83 @t82 @t81)) @t80))) % 0.37/0.59 (step @p50 :rule refl :args (@t81)) % 0.37/0.59 (step @p51 :rule refl :args (@t82)) % 0.37/0.59 (step @p52 :rule refl :args (@t83)) % 0.37/0.59 (step @p53 :rule eq-symm :args (|tptp.'Oedipus'| @t15)) % 0.37/0.59 (step @p54 :rule cong :premises (@p53) :args (@t81)) % 0.37/0.59 (step @p55 :rule nary_cong :premises (@p54 @p52 @p51 @p50) :args (@t85)) % 0.37/0.59 (step @p56 :rule aci_norm :args ((= @t86 @t85))) % 0.37/0.59 (step @p57 :rule trans :premises (@p56 @p55)) % 0.37/0.59 (step @p58 :rule cong :premises (@p57) :args (@t87)) % 0.37/0.59 (step @p59 :rule trans :premises (@p58 @p49)) % 0.37/0.59 (step @p60 :rule trans :premises (@p59 @p48)) % 0.37/0.59 (step @p61 :rule aci_norm :args ((= (or @t56 @t52 false) @t62))) % 0.37/0.59 (step @p62 :rule eq-refl :args (|tptp.'Iokaste'|)) % 0.37/0.59 (step @p63 :rule cong :premises (@p62) :args (@t88)) % 0.37/0.59 (step @p64 :rule trans :premises (@p63 @p6)) % 0.37/0.59 (step @p65 :rule refl :args (@t52)) % 0.37/0.59 (step @p66 :rule refl :args (@t56)) % 0.37/0.59 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args (@t89)) % 0.37/0.59 (step @p68 :rule trans :premises (@p67 @p61)) % 0.37/0.59 (step @p69 :rule quant-var-elim-eq :args ((= (forall @t93 (or (not (= @t19 |tptp.'Iokaste'|)) @t92 @t91 @t90)) @t89))) % 0.37/0.59 (step @p70 :rule refl :args (@t90)) % 0.37/0.59 (step @p71 :rule refl :args (@t91)) % 0.37/0.59 (step @p72 :rule refl :args (@t92)) % 0.37/0.59 (step @p73 :rule eq-symm :args (|tptp.'Iokaste'| @t19)) % 0.37/0.59 (step @p74 :rule cong :premises (@p73) :args (@t90)) % 0.37/0.59 (step @p75 :rule nary_cong :premises (@p74 @p72 @p71 @p70) :args (@t94)) % 0.37/0.59 (step @p76 :rule aci_norm :args ((= @t95 @t94))) % 0.37/0.59 (step @p77 :rule trans :premises (@p76 @p75)) % 0.37/0.59 (step @p78 :rule cong :premises (@p77) :args (@t96)) % 0.37/0.59 (step @p79 :rule trans :premises (@p78 @p69)) % 0.37/0.59 (step @p80 :rule trans :premises (@p79 @p68)) % 0.37/0.59 (step @p81 :rule aci_norm :args ((= (or @t56 @t54 false) @t63))) % 0.37/0.59 (step @p82 :rule refl :args (@t54)) % 0.37/0.59 (step @p83 :rule nary_cong :premises (@p66 @p82 @p64) :args (@t97)) % 0.37/0.59 (step @p84 :rule trans :premises (@p83 @p81)) % 0.37/0.59 (step @p85 :rule quant-var-elim-eq :args ((= (forall @t102 (or @t101 @t100 @t99 @t98)) @t97))) % 0.37/0.59 (step @p86 :rule 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0.37/0.59 (step @p258 :rule trans :premises (@p257 @p256 @p254)) % 0.37/0.59 (step @p259 :rule trans :premises (@p258 @p249)) % 0.37/0.59 (step @p260 :rule refl :args (@t143)) % 0.37/0.59 (step @p261 :rule refl :args (@t144)) % 0.37/0.59 (step @p262 :rule bool-double-not-elim :args (@t125)) % 0.37/0.59 (step @p263 :rule refl :args (@t145)) % 0.37/0.59 (step @p264 :rule nary_cong :premises (@p88 @p263 @p52 @p262 @p225 @p261 @p260 @p86) :args (@t153)) % 0.37/0.59 (step @p265 :rule aci_norm :args ((= (or @t100 (or @t145 (or @t83 (or @t152 (or @t124 (or @t144 (or @t143 @t98))))))) @t153))) % 0.37/0.59 (step @p266 :rule trans :premises (@p265 @p264)) % 0.37/0.59 (step @p267 :rule bool-and-de-morgan :args (@t30 @t24 true)) % 0.37/0.59 (step @p268 :rule nary_cong :premises (@p261 @p267) :args ((or @t144 (not (and @t30 @t24))))) % 0.37/0.59 (step @p269 :rule bool-and-de-morgan :args (@t31 @t30 (and @t24))) % 0.37/0.59 (step @p270 :rule trans :premises (@p269 @p268)) % 0.37/0.59 (step @p271 :rule nary_cong :premises (@p225 @p270) :args ((or @t124 (not (and @t31 @t30 @t24))))) % 0.37/0.59 (step @p272 :rule bool-and-de-morgan :args (@t32 @t31 (and @t30 @t24))) % 0.37/0.59 (step @p273 :rule trans :premises (@p272 @p271)) % 0.37/0.59 (step @p274 :rule refl :args (@t152)) % 0.37/0.59 (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((or @t152 (not (and @t32 @t31 @t30 @t24))))) % 0.37/0.59 (step @p276 :rule bool-and-de-morgan :args (@t151 @t32 (and @t31 @t30 @t24))) % 0.37/0.59 (step @p277 :rule trans :premises (@p276 @p275)) % 0.37/0.59 (step @p278 :rule nary_cong :premises (@p52 @p277) :args ((or @t83 (not (and @t151 @t32 @t31 @t30 @t24))))) % 0.37/0.59 (step @p279 :rule bool-and-de-morgan :args (@t18 @t151 (and @t32 @t31 @t30 @t24))) % 0.37/0.59 (step @p280 :rule trans :premises (@p279 @p278)) % 0.37/0.59 (step @p281 :rule nary_cong :premises (@p263 @p280) :args ((or @t145 (not (and @t18 @t151 @t32 @t31 @t30 @t24))))) % 0.37/0.59 (step @p282 :rule bool-and-de-morgan :args (@t38 @t18 (and @t151 @t32 @t31 @t30 @t24))) % 0.37/0.59 (step @p283 :rule trans :premises (@p282 @p281)) % 0.37/0.59 (step @p284 :rule nary_cong :premises (@p88 @p283) :args ((or @t100 (not (and @t38 @t18 @t151 @t32 @t31 @t30 @t24))))) % 0.37/0.59 (step @p285 :rule bool-and-de-morgan :args (@t26 @t38 (and @t18 @t151 @t32 @t31 @t30 @t24))) % 0.37/0.59 (step @p286 :rule trans :premises (@p285 @p284)) % 0.37/0.59 (step @p287 :rule trans :premises (@p286 @p266)) % 0.37/0.59 (step @p288 :rule cong :premises (@p287) :args (@t155)) % 0.37/0.59 (step @p289 :rule trans :premises (@p288 @p259)) % 0.37/0.59 (step @p290 :rule cong :premises (@p289) :args (@t156)) % 0.37/0.59 (step @p291 :rule exists-elim :args ((= (exists @t40 @t154) @t156))) % 0.37/0.59 (step @p292 :rule trans :premises (@p291 @p290)) % 0.37/0.59 (step @p293 :rule refl :args (@t30)) % 0.37/0.59 (step @p294 :rule refl :args (@t31)) % 0.37/0.59 (step @p295 :rule refl :args (@t32)) % 0.37/0.59 (step @p296 :rule aci_norm :args ((= (or @t151 false) @t151))) % 0.37/0.59 (step @p297 :rule eq-refl :args (@t11)) % 0.37/0.59 (step @p298 :rule cong :premises (@p297) :args (@t157)) % 0.37/0.59 (step @p299 :rule trans :premises (@p298 @p6)) % 0.37/0.59 (step @p300 :rule refl :args (@t151)) % 0.37/0.59 (step @p301 :rule nary_cong :premises (@p300 @p299) :args (@t158)) % 0.37/0.59 (step @p302 :rule trans :premises (@p301 @p296)) % 0.37/0.59 (step @p303 :rule quant-var-elim-eq :args ((= (forall @t35 (or (not (= @t8 @t11)) @t67 @t159)) @t158))) % 0.37/0.59 (step @p304 :rule refl :args (@t159)) % 0.37/0.59 (step @p305 :rule eq-symm :args (@t11 @t8)) % 0.37/0.59 (step @p306 :rule cong :premises (@p305) :args (@t159)) % 0.37/0.59 (step @p307 :rule nary_cong :premises (@p306 @p15 @p304) :args (@t160)) % 0.37/0.59 (step @p308 :rule aci_norm :args ((= @t161 @t160))) % 0.37/0.59 (step @p309 :rule trans :premises (@p308 @p307)) % 0.37/0.59 (step @p310 :rule cong :premises (@p309) :args ((forall @t35 @t161))) % 0.37/0.59 (step @p311 :rule trans :premises (@p310 @p303)) % 0.37/0.59 (step @p312 :rule trans :premises (@p311 @p302)) % 0.37/0.59 (step @p313 :rule bool-and-de-morgan :args (@t10 @t33 true)) % 0.37/0.59 (step @p314 :rule cong :premises (@p313) :args (@t162)) % 0.37/0.59 (step @p315 :rule trans :premises (@p314 @p312)) % 0.37/0.59 (step @p316 :rule cong :premises (@p315) :args (@t163)) % 0.37/0.59 (step @p317 :rule trans :premises (@p316 @p262)) % 0.37/0.59 (step @p318 :rule exists-elim :args ((= @t36 @t163))) % 0.37/0.59 (step @p319 :rule trans :premises (@p318 @p317)) % 0.37/0.59 (step @p320 :rule cong :premises (@p319) :args (@t37)) % 0.37/0.59 (step @p321 :rule refl :args (@t38)) % 0.37/0.59 (step @p322 :rule nary_cong :premises (@p194 @p321 @p188 @p320 @p295 @p294 @p293 @p192) :args (@t164)) % 0.37/0.59 (step @p323 :rule aci_norm :args ((= @t39 @t164))) % 0.37/0.59 (step @p324 :rule trans :premises (@p323 @p322)) % 0.37/0.59 (step @p325 :rule cong :premises (@p324) :args (@t41)) % 0.37/0.59 (step @p326 :rule trans :premises (@p325 @p292)) % 0.37/0.59 (step @p327 :rule cong :premises (@p326) :args (@t42)) % 0.37/0.59 (step @p328 :rule trans :premises (@p327 @p208)) % 0.37/0.59 (step @p329 :rule eq_resolve :premises (@p2 @p328)) % 0.37/0.59 (step @p330 :rule chain_m_resolution :premises (@p329 @p207) :args (@t129 (@list false) (@list @t55))) % 0.37/0.59 (step @p331 :rule instantiate :premises (@p330) :args ((@list |tptp.'Polyneikes'| |tptp.'Thersandros'|))) % 0.37/0.59 (step @p332 :rule instantiate :premises (@p330) :args ((@list |tptp.'Oedipus'| |tptp.'Polyneikes'|))) % 0.37/0.59 (step @p333 :rule not_or_elim :premises (@p198) :args (1)) % 0.37/0.59 (step @p334 :rule not_not_elim :premises (@p333)) % 0.37/0.59 (step @p335 :rule not_or_elim :premises (@p198) :args (6)) % 0.37/0.59 (step @p336 :rule not_not_elim :premises (@p335)) % 0.37/0.59 (step @p337 :rule not_or_elim :premises (@p198) :args (5)) % 0.37/0.59 (step @p338 :rule not_not_elim :premises (@p337)) % 0.37/0.59 (step @p339 :rule not_or_elim :premises (@p198) :args (3)) % 0.37/0.59 (step @p340 :rule not_not_elim :premises (@p339)) % 0.37/0.59 (step @p341 :rule cnf_or_pos :args (@t166)) % 0.37/0.59 (step @p342 :rule reordering :premises (@p341) :args ((or @t54 @t50 @t48 @t58 @t165 (not @t166)))) % 0.37/0.59 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p338 @p336 @p334 @p332) :args (@t165 (@list false false false false false) (@list @t53 @t49 @t47 @t57 @t166))) % 0.37/0.59 (step @p344 :rule cnf_or_pos :args (@t168)) % 0.37/0.59 (step @p345 :rule reordering :premises (@p344) :args ((or @t59 @t52 @t46 @t44 @t167 (not @t168)))) % 0.37/0.59 (step @p346 false :rule chain_m_resolution :premises (@p345 @p343 @p331 @p205 @p203 @p201 @p199) :args (false (@list false false false false false true) (@list @t165 @t168 @t43 @t45 @t51 @t59))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------