%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ133+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:44:16 AM UTC 2026 % Result : Theorem 0.97s 1.19s % Output : Proof 0.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ133+2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n015.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 13:19:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.97/1.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.97/1.19 % SZS status Theorem % 0.97/1.19 % SZS output start Proof % 0.97/1.19 ( % 0.97/1.19 (declare-sort $$unsorted 0) % 0.97/1.19 (declare-const tptp.q (-> $$unsorted $$unsorted)) % 0.97/1.19 (declare-const tptp.queens_p Bool) % 0.97/1.19 (declare-const tptp.n0 $$unsorted) % 0.97/1.19 (declare-const tptp.queens_q Bool) % 0.97/1.19 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.97/1.19 (declare-const tptp.le (-> $$unsorted $$unsorted Bool)) % 0.97/1.19 (declare-const tptp.perm (-> $$unsorted $$unsorted)) % 0.97/1.19 (declare-const tptp.n $$unsorted) % 0.97/1.19 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.97/1.19 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.97/1.19 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 0.97/1.19 (define @t1 () (@var "J" $$unsorted)) % 0.97/1.19 (define @t2 () (tptp.p @t1)) % 0.97/1.19 (define @t3 () (@var "I" $$unsorted)) % 0.97/1.19 (define @t4 () (tptp.p @t3)) % 0.97/1.19 (define @t5 () (not (= (tptp.minus @t4 @t3) (tptp.minus @t2 @t1)))) % 0.97/1.19 (define @t6 () (not (= (tptp.plus @t4 @t3) (tptp.plus @t2 @t1)))) % 0.97/1.19 (define @t7 () (not (= @t4 @t2))) % 0.97/1.19 (define @t8 () (and @t7 @t6 @t5)) % 0.97/1.19 (define @t9 () (tptp.le @t1 tptp.n)) % 0.97/1.19 (define @t10 () (tptp.le (tptp.s @t3) @t1)) % 0.97/1.19 (define @t11 () (tptp.le @t3 tptp.n)) % 0.97/1.19 (define @t12 () (tptp.s tptp.n0)) % 0.97/1.19 (define @t13 () (tptp.le @t12 @t3)) % 0.97/1.19 (define @t14 () (and @t13 @t11 @t10 @t9)) % 0.97/1.19 (define @t15 () (=> @t14 @t8)) % 0.97/1.19 (define @t16 () (@list @t3 @t1)) % 0.97/1.19 (define @t17 () (forall @t16 @t15)) % 0.97/1.19 (define @t18 () (=> tptp.queens_p @t17)) % 0.97/1.19 (define @t19 () (tptp.perm @t3)) % 0.97/1.19 (define @t20 () (and @t13 @t11)) % 0.97/1.19 (define @t21 () (@list @t3)) % 0.97/1.19 (define @t22 () (tptp.q @t1)) % 0.97/1.19 (define @t23 () (tptp.q @t3)) % 0.97/1.19 (define @t24 () (not (= (tptp.minus @t23 @t3) (tptp.minus @t22 @t1)))) % 0.97/1.19 (define @t25 () (not (= (tptp.plus @t23 @t3) (tptp.plus @t22 @t1)))) % 0.97/1.19 (define @t26 () (not (= @t23 @t22))) % 0.97/1.19 (define @t27 () (and @t26 @t25 @t24)) % 0.97/1.19 (define @t28 () (tptp.perm @t1)) % 0.97/1.19 (define @t29 () (tptp.le (tptp.s @t28) @t19)) % 0.97/1.19 (define @t30 () (= @t10 @t29)) % 0.97/1.19 (define @t31 () (and @t13 @t11 @t10 @t9 @t30)) % 0.97/1.19 (define @t32 () (=> @t31 @t27)) % 0.97/1.19 (define @t33 () (forall @t16 @t32)) % 0.97/1.19 (define @t34 () (=> @t33 tptp.queens_q)) % 0.97/1.19 (define @t35 () (and (tptp.le @t12 @t19) (tptp.le @t19 tptp.n))) % 0.97/1.19 (define @t36 () (forall @t21 (=> @t20 @t35))) % 0.97/1.19 (define @t37 () (tptp.minus @t3 @t1)) % 0.97/1.19 (define @t38 () (@var "Z" $$unsorted)) % 0.97/1.19 (define @t39 () (@var "X" $$unsorted)) % 0.97/1.19 (define @t40 () (tptp.le @t39 @t38)) % 0.97/1.19 (define @t41 () (@var "Y" $$unsorted)) % 0.97/1.19 (define @t42 () (tptp.le @t41 @t38)) % 0.97/1.19 (define @t43 () (tptp.le @t39 @t41)) % 0.97/1.19 (define @t44 () (and @t43 @t42)) % 0.97/1.19 (define @t45 () (forall (@list @t39 @t41 @t38) (=> @t44 @t40))) % 0.97/1.19 (define @t46 () (@var "L" $$unsorted)) % 0.97/1.19 (define @t47 () (@var "K" $$unsorted)) % 0.97/1.19 (define @t48 () (tptp.minus @t3 @t47)) % 0.97/1.19 (define @t49 () (@list @t3 @t1 @t47 @t46)) % 0.97/1.19 (define @t50 () (forall @t49 (= (= (tptp.plus @t3 @t1) (tptp.plus @t47 @t46)) (= @t48 (tptp.minus @t46 @t1))))) % 0.97/1.19 (define @t51 () (forall @t49 (= (= @t37 (tptp.minus @t47 @t46)) (= @t48 (tptp.minus @t1 @t46))))) % 0.97/1.19 (define @t52 () (and (not (= @t22 @t23)) @t25 @t24)) % 0.97/1.19 (define @t53 () (not @t10)) % 0.97/1.19 (define @t54 () (not @t9)) % 0.97/1.19 (define @t55 () (not @t11)) % 0.97/1.19 (define @t56 () (not @t13)) % 0.97/1.19 (define @t57 () (forall @t16 (or @t56 @t55 @t53 @t54 (= @t29 @t53) @t52))) % 0.97/1.19 (define @t58 () (@quantifiers_skolemize @t57 0)) % 0.97/1.19 (define @t59 () (@list @t58)) % 0.97/1.19 (define @t60 () (@quantifiers_skolemize @t57 1)) % 0.97/1.19 (define @t61 () (@list @t60)) % 0.97/1.19 (define @t62 () (tptp.q @t60)) % 0.97/1.19 (define @t63 () (tptp.q @t58)) % 0.97/1.19 (define @t64 () (tptp.minus @t63 @t62)) % 0.97/1.19 (define @t65 () (tptp.minus @t58 @t60)) % 0.97/1.19 (define @t66 () (= (tptp.minus @t63 @t58) (tptp.minus @t62 @t60))) % 0.97/1.19 (define @t67 () (= @t66 (= @t64 @t65))) % 0.97/1.19 (define @t68 () (= @t65 @t64)) % 0.97/1.19 (define @t69 () (= @t66 @t68)) % 0.97/1.19 (define @t70 () (@list false)) % 0.97/1.19 (define @t71 () (@list @t51)) % 0.97/1.19 (define @t72 () (= @t53 @t29)) % 0.97/1.19 (define @t73 () (or @t56 @t55 @t53 @t54 @t72 @t52)) % 0.97/1.19 (define @t74 () (not @t30)) % 0.97/1.19 (define @t75 () (or @t56 @t55 @t53 @t54 @t74)) % 0.97/1.19 (define @t76 () (not @t57)) % 0.97/1.19 (define @t77 () (@list true)) % 0.97/1.19 (define @t78 () (not @t66)) % 0.97/1.19 (define @t79 () (tptp.plus @t62 @t60)) % 0.97/1.19 (define @t80 () (tptp.plus @t63 @t58)) % 0.97/1.19 (define @t81 () (= @t80 @t79)) % 0.97/1.19 (define @t82 () (not @t81)) % 0.97/1.19 (define @t83 () (= @t62 @t63)) % 0.97/1.19 (define @t84 () (not @t83)) % 0.97/1.19 (define @t85 () (and @t84 @t82 @t78)) % 0.97/1.19 (define @t86 () (tptp.perm @t58)) % 0.97/1.19 (define @t87 () (tptp.perm @t60)) % 0.97/1.19 (define @t88 () (tptp.s @t87)) % 0.97/1.19 (define @t89 () (tptp.le @t88 @t86)) % 0.97/1.19 (define @t90 () (tptp.s @t58)) % 0.97/1.19 (define @t91 () (tptp.le @t90 @t60)) % 0.97/1.19 (define @t92 () (not @t91)) % 0.97/1.19 (define @t93 () (= @t92 @t89)) % 0.97/1.19 (define @t94 () (tptp.le @t60 tptp.n)) % 0.97/1.19 (define @t95 () (not @t94)) % 0.97/1.19 (define @t96 () (tptp.le @t58 tptp.n)) % 0.97/1.19 (define @t97 () (not @t96)) % 0.97/1.19 (define @t98 () (tptp.le @t12 @t58)) % 0.97/1.19 (define @t99 () (not @t98)) % 0.97/1.19 (define @t100 () (or @t99 @t97 @t92 @t95 @t93 @t85)) % 0.97/1.19 (define @t101 () (not @t100)) % 0.97/1.19 (define @t102 () (or @t99 @t97 @t92 @t95 (= @t89 @t92) @t85)) % 0.97/1.19 (define @t103 () (not @t102)) % 0.97/1.19 (define @t104 () (@list @t100)) % 0.97/1.19 (define @t105 () (tptp.minus @t62 @t63)) % 0.97/1.19 (define @t106 () (= @t105 @t65)) % 0.97/1.19 (define @t107 () (= (= @t79 @t80) @t106)) % 0.97/1.19 (define @t108 () (= @t81 @t106)) % 0.97/1.19 (define @t109 () (@list @t50)) % 0.97/1.19 (define @t110 () (tptp.p @t86)) % 0.97/1.19 (define @t111 () (tptp.p @t87)) % 0.97/1.19 (define @t112 () (tptp.minus @t111 @t110)) % 0.97/1.19 (define @t113 () (tptp.minus @t87 @t86)) % 0.97/1.19 (define @t114 () (= (tptp.minus @t111 @t87) (tptp.minus @t110 @t86))) % 0.97/1.19 (define @t115 () (= @t112 @t113)) % 0.97/1.19 (define @t116 () (= @t115 @t114)) % 0.97/1.19 (define @t117 () (= @t113 @t112)) % 0.97/1.19 (define @t118 () (= @t114 @t117)) % 0.97/1.19 (define @t119 () (and (not (= @t2 @t4)) @t6 @t5)) % 0.97/1.19 (define @t120 () (or @t56 @t55 @t53 @t54 @t119)) % 0.97/1.19 (define @t121 () (or @t56 @t55 @t53 @t54)) % 0.97/1.19 (define @t122 () (forall @t16 @t120)) % 0.97/1.19 (define @t123 () (tptp.le @t86 tptp.n)) % 0.97/1.19 (define @t124 () (and (tptp.le @t12 @t86) @t123)) % 0.97/1.19 (define @t125 () (or @t99 @t97 @t124)) % 0.97/1.19 (define @t126 () (@list false false false)) % 0.97/1.19 (define @t127 () (not @t42)) % 0.97/1.19 (define @t128 () (not @t43)) % 0.97/1.19 (define @t129 () (tptp.le @t88 tptp.n)) % 0.97/1.19 (define @t130 () (not @t123)) % 0.97/1.19 (define @t131 () (not @t89)) % 0.97/1.19 (define @t132 () (or @t131 @t130 @t129)) % 0.97/1.19 (define @t133 () (tptp.le @t87 tptp.n)) % 0.97/1.19 (define @t134 () (not @t129)) % 0.97/1.19 (define @t135 () (tptp.le @t87 @t88)) % 0.97/1.19 (define @t136 () (not @t135)) % 0.97/1.19 (define @t137 () (or @t136 @t134 @t133)) % 0.97/1.19 (define @t138 () (tptp.le @t58 @t60)) % 0.97/1.19 (define @t139 () (tptp.le @t58 @t90)) % 0.97/1.19 (define @t140 () (not @t139)) % 0.97/1.19 (define @t141 () (or @t140 @t92 @t138)) % 0.97/1.19 (define @t142 () (tptp.le @t12 @t60)) % 0.97/1.19 (define @t143 () (not @t138)) % 0.97/1.19 (define @t144 () (or @t99 @t143 @t142)) % 0.97/1.19 (define @t145 () (tptp.le @t12 @t87)) % 0.97/1.19 (define @t146 () (and @t145 @t133)) % 0.97/1.19 (define @t147 () (not @t142)) % 0.97/1.19 (define @t148 () (or @t147 @t95 @t146)) % 0.97/1.19 (define @t149 () (not @t114)) % 0.97/1.19 (define @t150 () (tptp.plus @t110 @t86)) % 0.97/1.19 (define @t151 () (tptp.plus @t111 @t87)) % 0.97/1.19 (define @t152 () (= @t151 @t150)) % 0.97/1.19 (define @t153 () (not @t152)) % 0.97/1.19 (define @t154 () (= @t110 @t111)) % 0.97/1.19 (define @t155 () (not @t154)) % 0.97/1.19 (define @t156 () (and @t155 @t153 @t149)) % 0.97/1.19 (define @t157 () (not @t133)) % 0.97/1.19 (define @t158 () (not @t145)) % 0.97/1.19 (define @t159 () (or @t158 @t157 @t131 @t130 @t156)) % 0.97/1.19 (define @t160 () (not @t156)) % 0.97/1.19 (define @t161 () (@list @t156)) % 0.97/1.19 (define @t162 () (not @t117)) % 0.97/1.19 (define @t163 () (@list true false)) % 0.97/1.19 (define @t164 () (= @t63 @t110)) % 0.97/1.19 (define @t165 () (= @t62 @t111)) % 0.97/1.19 (define @t166 () (= @t65 @t113)) % 0.97/1.19 (define @t167 () (and @t164 @t165 @t106 @t166)) % 0.97/1.19 (define @t168 () (not @t165)) % 0.97/1.19 (define @t169 () (not @t164)) % 0.97/1.19 (define @t170 () (and @t165 @t83 @t164 @t155)) % 0.97/1.19 (define @t171 () (tptp.minus @t110 @t111)) % 0.97/1.19 (define @t172 () (= (= @t150 @t151) (= @t171 @t113))) % 0.97/1.19 (define @t173 () (= @t113 @t171)) % 0.97/1.19 (define @t174 () (= @t152 @t173)) % 0.97/1.19 (define @t175 () (not @t173)) % 0.97/1.19 (define @t176 () (not @t166)) % 0.97/1.19 (define @t177 () (not @t68)) % 0.97/1.19 (define @t178 () (and @t175 @t173)) % 0.97/1.19 (assume @p1 @t18) % 0.97/1.19 (assume @p2 (forall @t21 (=> @t20 (= @t19 (tptp.minus (tptp.s tptp.n) @t3))))) % 0.97/1.19 (assume @p3 @t34) % 0.97/1.19 (assume @p4 (not (=> (and tptp.queens_p (forall @t21 (= @t23 (tptp.p @t19)))) tptp.queens_q))) % 0.97/1.19 (assume @p5 @t36) % 0.97/1.19 (assume @p6 (forall (@list @t1 @t3) (= @t37 (tptp.minus @t28 @t19)))) % 0.97/1.19 (assume @p7 @t45) % 0.97/1.19 (assume @p8 (forall (@list @t39) (tptp.le @t39 (tptp.s @t39)))) % 0.97/1.19 (assume @p9 @t50) % 0.97/1.19 (assume @p10 @t51) % 0.97/1.19 (assume @p11 true) % 0.97/1.19 (step @p12 :rule not_implies_elim1 :premises (@p4)) % 0.97/1.19 (step @p13 :rule and_elim :premises (@p12) :args (1)) % 0.97/1.19 (step @p14 :rule instantiate :premises (@p13) :args (@t59)) % 0.97/1.19 (step @p15 :rule instantiate :premises (@p13) :args (@t61)) % 0.97/1.19 (step @p16 :rule instantiate :premises (@p6) :args ((@list @t60 @t58))) % 0.97/1.19 (step @p17 :rule eq-symm :args (@t64 @t65)) % 0.97/1.19 (step @p18 :rule refl :args (@t66)) % 0.97/1.19 (step @p19 :rule cong :premises (@p18 @p17) :args (@t67)) % 0.97/1.19 (step @p20 :rule refl :args (@t51)) % 0.97/1.19 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t51 @t67))) % 0.97/1.19 (assume-push @p396 @t51) % 0.97/1.19 (step @p23 :rule instantiate :premises (@p10) :args ((@list @t63 @t58 @t62 @t60))) % 0.97/1.19 (step-pop @p397 :rule scope :premises (@p23)) % 0.97/1.19 (step @p24 :rule process_scope :premises (@p397) :args (@t67)) % 0.97/1.19 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.97/1.19 (step @p27 :rule implies_elim :premises (@p26)) % 0.97/1.19 (step @p28 :rule chain_m_resolution :premises (@p27 @p10) :args (@t69 @t70 @t71)) % 0.97/1.19 (step @p29 :rule not_implies_elim2 :premises (@p4)) % 0.97/1.19 (step @p30 :rule refl :args (tptp.queens_q)) % 0.97/1.19 (step @p31 :rule refl :args (@t52)) % 0.97/1.19 (step @p32 :rule eq-symm :args (@t53 @t29)) % 0.97/1.19 (step @p33 :rule refl :args (@t54)) % 0.97/1.19 (step @p34 :rule refl :args (@t53)) % 0.97/1.19 (step @p35 :rule refl :args (@t55)) % 0.97/1.19 (step @p36 :rule refl :args (@t56)) % 0.97/1.19 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34 @p33 @p32 @p31) :args (@t73)) % 0.97/1.19 (step @p38 :rule cong :premises (@p37) :args ((forall @t16 @t73))) % 0.97/1.19 (step @p39 :rule aci_norm :args ((= (or (or @t56 @t55 @t53 @t54 @t72) @t52) @t73))) % 0.97/1.19 (step @p40 :rule refl :args (@t52)) % 0.97/1.19 (step @p41 :rule bool-not-eq-elim1 :args (@t10 @t29)) % 0.97/1.19 (step @p42 :rule refl :args (@t54)) % 0.97/1.19 (step @p43 :rule refl :args (@t53)) % 0.97/1.19 (step @p44 :rule refl :args (@t55)) % 0.97/1.19 (step @p45 :rule refl :args (@t56)) % 0.97/1.19 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43 @p42 @p41) :args (@t75)) % 0.97/1.19 (step @p47 :rule aci_norm :args ((= (or @t56 (or @t55 (or @t53 (or @t54 @t74)))) @t75))) % 0.97/1.19 (step @p48 :rule bool-and-de-morgan :args (@t9 @t30 true)) % 0.97/1.19 (step @p49 :rule nary_cong :premises (@p43 @p48) :args ((or @t53 (not (and @t9 @t30))))) % 0.97/1.19 (step @p50 :rule bool-and-de-morgan :args (@t10 @t9 (and @t30))) % 0.97/1.19 (step @p51 :rule trans :premises (@p50 @p49)) % 0.97/1.19 (step @p52 :rule nary_cong :premises (@p44 @p51) :args ((or @t55 (not (and @t10 @t9 @t30))))) % 0.97/1.19 (step @p53 :rule bool-and-de-morgan :args (@t11 @t10 (and @t9 @t30))) % 0.97/1.19 (step @p54 :rule trans :premises (@p53 @p52)) % 0.97/1.19 (step @p55 :rule nary_cong :premises (@p45 @p54) :args ((or @t56 (not (and @t11 @t10 @t9 @t30))))) % 0.97/1.19 (step @p56 :rule bool-and-de-morgan :args (@t13 @t11 (and @t10 @t9 @t30))) % 0.97/1.19 (step @p57 :rule trans :premises (@p56 @p55)) % 0.97/1.19 (step @p58 :rule trans :premises (@p57 @p47)) % 0.97/1.19 (step @p59 :rule trans :premises (@p58 @p46)) % 0.97/1.19 (step @p60 :rule nary_cong :premises (@p59 @p40) :args ((or (not @t31) @t52))) % 0.97/1.19 (step @p61 :rule trans :premises (@p60 @p39)) % 0.97/1.19 (step @p62 :rule bool-impl-elim :args (@t31 @t52)) % 0.97/1.19 (step @p63 :rule trans :premises (@p62 @p61)) % 0.97/1.19 (step @p64 :rule cong :premises (@p63) :args ((forall @t16 (=> @t31 @t52)))) % 0.97/1.19 (step @p65 :rule trans :premises (@p64 @p38)) % 0.97/1.19 (step @p66 :rule refl :args (@t24)) % 0.97/1.19 (step @p67 :rule refl :args (@t25)) % 0.97/1.19 (step @p68 :rule eq-symm :args (@t23 @t22)) % 0.97/1.19 (step @p69 :rule cong :premises (@p68) :args (@t26)) % 0.97/1.19 (step @p70 :rule nary_cong :premises (@p69 @p67 @p66) :args (@t27)) % 0.97/1.19 (step @p71 :rule refl :args (@t31)) % 0.97/1.19 (step @p72 :rule cong :premises (@p71 @p70) :args (@t32)) % 0.97/1.19 (step @p73 :rule cong :premises (@p72) :args (@t33)) % 0.97/1.19 (step @p74 :rule trans :premises (@p73 @p65)) % 0.97/1.19 (step @p75 :rule cong :premises (@p74 @p30) :args (@t34)) % 0.97/1.19 (step @p76 :rule eq_resolve :premises (@p3 @p75)) % 0.97/1.19 (step @p77 :rule implies_elim :premises (@p76)) % 0.97/1.19 (step @p78 :rule reordering :premises (@p77) :args ((or tptp.queens_q @t76))) % 0.97/1.19 (step @p79 :rule chain_m_resolution :premises (@p78 @p29) :args (@t76 @t77 (@list tptp.queens_q))) % 0.97/1.19 (step @p80 :rule refl :args (@t101)) % 0.97/1.19 (step @p81 :rule bool-double-not-elim :args (@t57)) % 0.97/1.19 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t76) @t101))) % 0.97/1.19 (step @p83 :rule refl :args (@t85)) % 0.97/1.19 (step @p84 :rule eq-symm :args (@t89 @t92)) % 0.97/1.19 (step @p85 :rule refl :args (@t95)) % 0.97/1.19 (step @p86 :rule 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:premises (@p302)) % 0.97/1.19 (step-pop @p425 :rule scope :premises (@p424)) % 0.97/1.19 (step-pop @p426 :rule scope :premises (@p425)) % 0.97/1.19 (step-pop @p427 :rule scope :premises (@p426)) % 0.97/1.19 (step @p303 :rule process_scope :premises (@p427) :args (false)) % 0.97/1.19 (assume-push @p428 @t83) % 0.97/1.19 (assume-push @p429 @t155) % 0.97/1.19 (assume-push @p430 @t164) % 0.97/1.19 (assume-push @p431 @t165) % 0.97/1.19 (step @p312 :rule and_intro :premises (@p15 @p428 @p14 @p283)) % 0.97/1.19 (step-pop @p432 :rule scope :premises (@p312)) % 0.97/1.19 (step-pop @p433 :rule scope :premises (@p432)) % 0.97/1.19 (step-pop @p434 :rule scope :premises (@p433)) % 0.97/1.19 (step-pop @p435 :rule scope :premises (@p434)) % 0.97/1.19 (step @p313 :rule process_scope :premises (@p435) :args (@t170)) % 0.97/1.19 (step @p318 :rule implies_elim :premises (@p313)) % 0.97/1.19 (step @p319 :rule resolution :premises (@p318 @p303) :args (true @t170)) % 0.97/1.19 (step @p320 :rule not_and :premises (@p319)) % 0.97/1.19 (step @p321 :rule eq_resolve :premises (@p320 @p288)) % 0.97/1.19 (step @p322 :rule chain_m_resolution :premises (@p321 @p283 @p14 @p15) :args (@t84 (@list true false false) (@list @t154 @t164 @t165))) % 0.97/1.19 (step @p323 :rule bool-double-not-elim :args (@t66)) % 0.97/1.19 (step @p324 :rule bool-double-not-elim :args (@t81)) % 0.97/1.19 (step @p325 :rule bool-double-not-elim :args (@t83)) % 0.97/1.19 (step @p326 :rule nary_cong :premises (@p83 @p325 @p324 @p323) :args ((or @t85 (not @t84) (not @t82) (not @t78)))) % 0.97/1.19 (step @p327 :rule cnf_and_neg :args (@t85)) % 0.97/1.19 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 0.97/1.19 (step @p329 :rule reordering :premises (@p328) :args ((or @t83 @t81 @t66 @t85))) % 0.97/1.19 (step @p330 :rule chain_m_resolution :premises (@p329 @p322 @p280 @p102) :args (@t66 (@list true true true) (@list @t83 @t81 @t85))) % 0.97/1.19 (step @p331 :rule cnf_equiv_pos1 :args (@t69)) % 0.97/1.19 (step @p332 :rule reordering :premises (@p331) :args ((or @t78 @t68 (not @t69)))) % 0.97/1.19 (step @p333 :rule chain_m_resolution :premises (@p332 @p330 @p28) :args (@t68 (@list false false) (@list @t66 @t69))) % 0.97/1.19 (step @p334 :rule eq-symm :args (@t171 @t113)) % 0.97/1.19 (step @p335 :rule eq-symm :args (@t150 @t151)) % 0.97/1.19 (step @p336 :rule cong :premises (@p335 @p334) :args (@t172)) % 0.97/1.19 (step @p337 :rule cong :premises (@p106 @p336) :args ((=> @t50 @t172))) % 0.97/1.19 (assume-push @p436 @t50) % 0.97/1.19 (step @p339 :rule instantiate :premises (@p9) :args ((@list @t110 @t86 @t111 @t87))) % 0.97/1.19 (step-pop @p437 :rule scope :premises (@p339)) % 0.97/1.19 (step @p340 :rule process_scope :premises (@p437) :args (@t172)) % 0.97/1.19 (step @p342 :rule eq_resolve :premises (@p340 @p337)) % 0.97/1.19 (step @p343 :rule implies_elim :premises (@p342)) % 0.97/1.19 (step @p344 :rule chain_m_resolution :premises (@p343 @p9) :args (@t174 @t70 @t109)) % 0.97/1.19 (step @p345 :rule cnf_and_pos :args (@t156 1)) % 0.97/1.19 (step @p346 :rule reordering :premises (@p345) :args ((or @t153 @t160))) % 0.97/1.19 (step @p347 :rule chain_m_resolution :premises (@p346 @p243) :args (@t153 @t70 @t161)) % 0.97/1.19 (step @p348 :rule cnf_equiv_pos2 :args (@t174)) % 0.97/1.19 (step @p349 :rule reordering :premises (@p348) :args ((or @t152 @t175 (not @t174)))) % 0.97/1.19 (step @p350 :rule chain_m_resolution :premises (@p349 @p347 @p344) :args (@t175 @t163 (@list @t152 @t174))) % 0.97/1.19 (step @p351 :rule bool-double-not-elim :args (@t173)) % 0.97/1.19 (step @p352 :rule refl :args (@t176)) % 0.97/1.19 (step @p353 :rule refl :args (@t177)) % 0.97/1.19 (step @p354 :rule nary_cong :premises (@p285 @p284 @p353 @p352 @p351) :args ((or @t169 @t168 @t177 @t176 (not @t175)))) % 0.97/1.19 (assume-push @p438 @t175) % 0.97/1.19 (assume-push @p439 @t173) % 0.97/1.19 (step @p357 :rule evaluate :args ((= true false))) % 0.97/1.19 (step @p358 :rule false_intro :premises (@p350)) % 0.97/1.19 (step @p359 :rule true_intro :premises (@p439)) % 0.97/1.19 (step @p360 :rule symm :premises (@p359)) % 0.97/1.19 (step @p361 :rule trans :premises (@p360 @p358)) % 0.97/1.19 (step @p362 false :rule eq_resolve :premises (@p361 @p357)) % 0.97/1.19 (step-pop @p440 :rule scope :premises (@p362)) % 0.97/1.19 (step-pop @p441 :rule scope :premises (@p440)) % 0.97/1.19 (step @p363 :rule process_scope :premises (@p441) :args (false)) % 0.97/1.19 (assume-push @p442 @t164) % 0.97/1.19 (assume-push @p443 @t165) % 0.97/1.19 (assume-push @p444 @t68) % 0.97/1.19 (assume-push @p445 @t166) % 0.97/1.19 (assume-push @p446 @t175) % 0.97/1.19 (assume-push @p447 @t164) % 0.97/1.19 (assume-push @p448 @t165) % 0.97/1.19 (assume-push @p449 @t68) % 0.97/1.19 (assume-push @p450 @t166) % 0.97/1.19 (step @p375 :rule cong :premises (@p14 @p15) :args (@t64)) % 0.97/1.19 (step @p260 :rule symm :premises (@p16)) % 0.97/1.19 (step @p376 :rule trans :premises (@p260 @p444 @p375)) % 0.97/1.19 (step-pop @p451 :rule scope :premises (@p376)) % 0.97/1.19 (step-pop @p452 :rule scope :premises (@p451)) % 0.97/1.19 (step-pop @p453 :rule scope :premises (@p452)) % 0.97/1.19 (step-pop @p454 :rule scope :premises (@p453)) % 0.97/1.19 (step @p377 :rule process_scope :premises (@p454) :args (@t173)) % 0.97/1.19 (step @p382 :rule and_intro :premises (@p14 @p15 @p444 @p16)) % 0.97/1.19 (step @p383 :rule modus_ponens :premises (@p382 @p377)) % 0.97/1.19 (step @p384 :rule and_intro :premises (@p350 @p383)) % 0.97/1.19 (step-pop @p455 :rule scope :premises (@p384)) % 0.97/1.19 (step-pop @p456 :rule scope :premises (@p455)) % 0.97/1.19 (step-pop @p457 :rule scope :premises (@p456)) % 0.97/1.19 (step-pop @p458 :rule scope :premises (@p457)) % 0.97/1.19 (step-pop @p459 :rule scope :premises (@p458)) % 0.97/1.19 (step @p385 :rule process_scope :premises (@p459) :args (@t178)) % 0.97/1.19 (step @p391 :rule implies_elim :premises (@p385)) % 0.97/1.19 (step @p392 :rule resolution :premises (@p391 @p363) :args (true @t178)) % 0.97/1.19 (step @p393 :rule not_and :premises (@p392)) % 0.97/1.19 (step @p394 :rule eq_resolve :premises (@p393 @p354)) % 0.97/1.19 (step @p395 false :rule chain_m_resolution :premises (@p394 @p350 @p333 @p16 @p15 @p14) :args (false (@list true false false false false) (@list @t173 @t68 @t166 @t165 @t164))) % 0.97/1.19 ) % 0.97/1.19 % SZS output end Proof % 0.97/1.19 % cvc5 exiting %------------------------------------------------------------------------------