%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ107^5 : TPTP v9.2.1. Bugfixed v6.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:44:12 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ107^5 : TPTP v9.2.1. Bugfixed v6.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n025.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 13:18:31 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.c1 $$unsorted) % 0.37/0.60 (define tptp.cCKB_INJ () (let ((_let_1 (@var "Xy2" $$unsorted))) (let ((_let_2 (@var "Xy1" $$unsorted))) (let ((_let_3 (@var "Xx2" $$unsorted))) (let ((_let_4 (@var "Xx1" $$unsorted))) (let ((_let_5 (@var "Xv" $$unsorted))) (let ((_let_6 (@var "Xu" $$unsorted))) (let ((_let_7 (@var "Xh" (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)))) (lambda (@list _let_7) (forall (@list _let_4 _let_2 _let_3 _let_1 _let_6 _let_5) (=> (and (_ (_ (_ (_ _let_7 _let_4) _let_2) _let_6) _let_5) (_ (_ (_ (_ _let_7 _let_3) _let_1) _let_6) _let_5)) (and (= _let_4 _let_3) (= _let_2 _let_1))))))))))))) % 0.37/0.60 (define tptp.cCKB_XPL () (let ((_let_1 (@var "Xn" $$unsorted))) (let ((_let_2 (@var "Xv" $$unsorted))) (let ((_let_3 (@var "Xm" $$unsorted))) (let ((_let_4 (@var "Xu" $$unsorted))) (let ((_let_5 (@var "Xk" (-> $$unsorted $$unsorted Bool)))) (let ((_let_6 (@var "Xy" $$unsorted))) (let ((_let_7 (@var "Xx" $$unsorted))) (let ((_let_8 (@var "Xh" (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)))) (lambda (@list _let_8 _let_5 _let_3 _let_1) (and (_ (_ _let_5 _let_3) _let_1) (forall (@list _let_7 _let_6) (=> (_ (_ _let_5 _let_7) _let_6) (exists (@list _let_4 _let_2) (and (_ (_ (_ (_ _let_8 _let_7) _let_6) _let_4) _let_2) (_ (_ _let_5 _let_4) _let_2) (not (and (= _let_4 _let_3) (= _let_2 _let_1)))))))))))))))))) % 0.37/0.60 (define tptp.cCKB_INF () (let ((_let_1 (@var "Xn" $$unsorted))) (let ((_let_2 (@var "Xm" $$unsorted))) (let ((_let_3 (@var "Xk" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "Xh" (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_4 _let_2 _let_1) (and (_ tptp.cCKB_INJ _let_4) (_ (_ (_ (_ tptp.cCKB_XPL _let_4) _let_3) _let_2) _let_1))))))))) % 0.37/0.60 (define tptp.cCKB_FIN () (let ((_let_1 (@var "Xk" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (not (_ tptp.cCKB_INF _let_1))))) % 0.37/0.60 (define @t1 () (@var "Xv" $$unsorted)) % 0.37/0.60 (define @t2 () (= @t1 tptp.c1)) % 0.37/0.60 (define @t3 () (@var "Xu" $$unsorted)) % 0.37/0.60 (define @t4 () (= @t3 tptp.c1)) % 0.37/0.60 (define @t5 () (and @t4 @t2)) % 0.37/0.60 (define @t6 () (@list @t3 @t1)) % 0.37/0.60 (define @t7 () (lambda @t6 @t5)) % 0.37/0.60 (define @t8 () (not (_ tptp.cCKB_FIN @t7))) % 0.37/0.60 (define @t9 () (@var "Xy2" $$unsorted)) % 0.37/0.60 (define @t10 () (@var "Xy1" $$unsorted)) % 0.37/0.60 (define @t11 () (@var "Xx2" $$unsorted)) % 0.37/0.60 (define @t12 () (@var "Xx1" $$unsorted)) % 0.37/0.60 (define @t13 () (and (= @t12 @t11) (= @t10 @t9))) % 0.37/0.60 (define @t14 () (@var "Xh" (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool))) % 0.37/0.60 (define @t15 () (_ (_ (_ (_ @t14 @t11) @t9) @t3) @t1)) % 0.37/0.60 (define @t16 () (_ (_ (_ (_ @t14 @t12) @t10) @t3) @t1)) % 0.37/0.60 (define @t17 () (and @t16 @t15)) % 0.37/0.60 (define @t18 () (@list @t12 @t10 @t11 @t9 @t3 @t1)) % 0.37/0.60 (define @t19 () (forall @t18 (=> @t17 @t13))) % 0.37/0.60 (define @t20 () (@list @t14)) % 0.37/0.60 (define @t21 () (lambda @t20 @t19)) % 0.37/0.60 (define @t22 () (@var "Xn" $$unsorted)) % 0.37/0.60 (define @t23 () (= @t1 @t22)) % 0.37/0.60 (define @t24 () (@var "Xm" $$unsorted)) % 0.37/0.60 (define @t25 () (and (= @t3 @t24) @t23)) % 0.37/0.60 (define @t26 () (not @t25)) % 0.37/0.60 (define @t27 () (@var "Xk" (-> $$unsorted $$unsorted Bool))) % 0.37/0.60 (define @t28 () (_ (_ @t27 @t3) @t1)) % 0.37/0.60 (define @t29 () (@var "Xy" $$unsorted)) % 0.37/0.60 (define @t30 () (@var "Xx" $$unsorted)) % 0.37/0.60 (define @t31 () (_ (_ (_ (_ @t14 @t30) @t29) @t3) @t1)) % 0.37/0.60 (define @t32 () (and @t31 @t28 @t26)) % 0.37/0.60 (define @t33 () (exists @t6 @t32)) % 0.37/0.60 (define @t34 () (_ (_ @t27 @t30) @t29)) % 0.37/0.60 (define @t35 () (=> @t34 @t33)) % 0.37/0.60 (define @t36 () (@list @t30 @t29)) % 0.37/0.60 (define @t37 () (forall @t36 @t35)) % 0.37/0.60 (define @t38 () (_ (_ @t27 @t24) @t22)) % 0.37/0.60 (define @t39 () (and @t38 @t37)) % 0.37/0.60 (define @t40 () (@list @t14 @t27 @t24 @t22)) % 0.37/0.60 (define @t41 () (lambda @t40 @t39)) % 0.37/0.60 (define @t42 () (and (_ tptp.cCKB_INJ @t14) (_ (_ (_ (_ tptp.cCKB_XPL @t14) @t27) @t24) @t22))) % 0.37/0.60 (define @t43 () (@list @t14 @t24 @t22)) % 0.37/0.60 (define @t44 () (exists @t43 @t42)) % 0.37/0.60 (define @t45 () (@list @t27)) % 0.37/0.60 (define @t46 () (lambda @t45 @t44)) % 0.37/0.60 (define @t47 () (not (_ tptp.cCKB_INF @t27))) % 0.37/0.60 (define @t48 () (lambda @t45 @t47)) % 0.37/0.60 (define @t49 () (_ @t14 tptp.c1 tptp.c1 tptp.c1 tptp.c1)) % 0.37/0.60 (define @t50 () (not @t49)) % 0.37/0.60 (define @t51 () (_ @t14 @t11 @t9 @t3 @t1)) % 0.37/0.60 (define @t52 () (_ @t14 @t12 @t10 @t3 @t1)) % 0.37/0.60 (define @t53 () (forall @t18 (or (not @t52) (not @t51) @t13))) % 0.37/0.60 (define @t54 () (not @t53)) % 0.37/0.60 (define @t55 () (or @t54 @t50)) % 0.37/0.60 (define @t56 () (forall @t20 @t55)) % 0.37/0.60 (define @t57 () (@list @t22)) % 0.37/0.60 (define @t58 () (= tptp.c1 @t22)) % 0.37/0.60 (define @t59 () (not @t58)) % 0.37/0.60 (define @t60 () (or @t59 @t58)) % 0.37/0.60 (define @t61 () (= tptp.c1 tptp.c1)) % 0.37/0.60 (define @t62 () (and @t61 @t58)) % 0.37/0.60 (define @t63 () (not @t61)) % 0.37/0.60 (define @t64 () (or @t63 @t59 @t62)) % 0.37/0.60 (define @t65 () (= tptp.c1 @t24)) % 0.37/0.60 (define @t66 () (and @t65 @t58)) % 0.37/0.60 (define @t67 () (not @t65)) % 0.37/0.60 (define @t68 () (@list @t24)) % 0.37/0.60 (define @t69 () (or @t67 @t67 @t59 @t66)) % 0.37/0.60 (define @t70 () (or @t67 @t59 @t66)) % 0.37/0.60 (define @t71 () (forall @t68 @t70)) % 0.37/0.60 (define @t72 () (forall @t57 @t71)) % 0.37/0.60 (define @t73 () (forall (@list @t22 @t24) @t70)) % 0.37/0.60 (define @t74 () (@list @t24 @t22)) % 0.37/0.60 (define @t75 () (forall @t74 @t70)) % 0.37/0.60 (define @t76 () (or @t56 @t75)) % 0.37/0.60 (define @t77 () (or @t55 @t70)) % 0.37/0.60 (define @t78 () (or @t54 @t67 @t59 @t50 @t66)) % 0.37/0.60 (define @t79 () (or @t67 @t59)) % 0.37/0.60 (define @t80 () (and @t49 @t79)) % 0.37/0.60 (define @t81 () (not @t66)) % 0.37/0.60 (define @t82 () (or @t54 @t81 (not @t80))) % 0.37/0.60 (define @t83 () (or @t63 @t80)) % 0.37/0.60 (define @t84 () (and (_ @t14 tptp.c1 @t29 tptp.c1 tptp.c1) @t79)) % 0.37/0.60 (define @t85 () (= tptp.c1 @t29)) % 0.37/0.60 (define @t86 () (not @t85)) % 0.37/0.60 (define @t87 () (@list @t29)) % 0.37/0.60 (define @t88 () (or @t86 @t86 @t84)) % 0.37/0.60 (define @t89 () (or @t86 @t84)) % 0.37/0.60 (define @t90 () (or @t63 @t86 @t84)) % 0.37/0.60 (define @t91 () (_ @t14 @t30 @t29 tptp.c1 tptp.c1)) % 0.37/0.60 (define @t92 () (and @t91 @t79)) % 0.37/0.60 (define @t93 () (= tptp.c1 @t30)) % 0.37/0.60 (define @t94 () (not @t93)) % 0.37/0.60 (define @t95 () (@list @t30)) % 0.37/0.60 (define @t96 () (or @t94 @t94 @t86 @t92)) % 0.37/0.60 (define @t97 () (or @t94 @t86 @t92)) % 0.37/0.60 (define @t98 () (forall @t95 @t97)) % 0.37/0.60 (define @t99 () (forall @t87 @t98)) % 0.37/0.60 (define @t100 () (forall (@list @t29 @t30) @t97)) % 0.37/0.60 (define @t101 () (not @t91)) % 0.37/0.60 (define @t102 () (or @t101 @t66)) % 0.37/0.60 (define @t103 () (and @t93 @t85)) % 0.37/0.60 (define @t104 () (or (not @t103) (not @t102))) % 0.37/0.60 (define @t105 () (or @t101 @t63 @t66)) % 0.37/0.60 (define @t106 () (and @t65 @t23)) % 0.37/0.60 (define @t107 () (= tptp.c1 @t1)) % 0.37/0.60 (define @t108 () (not @t107)) % 0.37/0.60 (define @t109 () (not (_ @t14 @t30 @t29 tptp.c1 @t1))) % 0.37/0.60 (define @t110 () (@list @t1)) % 0.37/0.60 (define @t111 () (or @t108 @t109 @t108 @t106)) % 0.37/0.60 (define @t112 () (or @t109 @t108 @t106)) % 0.37/0.60 (define @t113 () (or @t109 @t63 @t108 @t106)) % 0.37/0.60 (define @t114 () (= tptp.c1 @t3)) % 0.37/0.60 (define @t115 () (not @t114)) % 0.37/0.60 (define @t116 () (_ @t14 @t30 @t29 @t3 @t1)) % 0.37/0.60 (define @t117 () (not @t116)) % 0.37/0.60 (define @t118 () (@list @t3)) % 0.37/0.60 (define @t119 () (or @t115 @t117 @t115 @t108 @t25)) % 0.37/0.60 (define @t120 () (or @t117 @t115 @t108 @t25)) % 0.37/0.60 (define @t121 () (forall @t118 @t120)) % 0.37/0.60 (define @t122 () (forall @t110 @t121)) % 0.37/0.60 (define @t123 () (forall (@list @t1 @t3) @t120)) % 0.37/0.60 (define @t124 () (and @t114 @t107)) % 0.37/0.60 (define @t125 () (or @t117 (not @t124) @t25)) % 0.37/0.60 (define @t126 () (lambda @t6 @t124)) % 0.37/0.60 (define @t127 () (_ @t126 @t3 @t1)) % 0.37/0.60 (define @t128 () (not @t127)) % 0.37/0.60 (define @t129 () (or @t117 @t128 @t25)) % 0.37/0.60 (define @t130 () (forall @t6 @t129)) % 0.37/0.60 (define @t131 () (not @t130)) % 0.37/0.60 (define @t132 () (_ @t126 @t30 @t29)) % 0.37/0.60 (define @t133 () (not @t132)) % 0.37/0.60 (define @t134 () (or @t133 @t131)) % 0.37/0.60 (define @t135 () (forall @t36 @t134)) % 0.37/0.60 (define @t136 () (not @t135)) % 0.37/0.60 (define @t137 () (_ @t126 @t24 @t22)) % 0.37/0.60 (define @t138 () (not @t137)) % 0.37/0.60 (define @t139 () (or @t54 @t138 @t136)) % 0.37/0.60 (define @t140 () (forall @t43 @t139)) % 0.37/0.60 (define @t141 () (_ @t27 @t3 @t1)) % 0.37/0.60 (define @t142 () (not (forall @t6 (or @t117 (not @t141) @t25)))) % 0.37/0.60 (define @t143 () (_ @t27 @t30 @t29)) % 0.37/0.60 (define @t144 () (forall @t36 (or (not @t143) @t142))) % 0.37/0.60 (define @t145 () (not @t144)) % 0.37/0.60 (define @t146 () (_ @t27 @t24 @t22)) % 0.37/0.60 (define @t147 () (forall @t43 (or @t54 (not @t146) @t145))) % 0.37/0.60 (define @t148 () (lambda @t45 @t147)) % 0.37/0.60 (define @t149 () (not @t147)) % 0.37/0.60 (define @t150 () (_ (lambda @t45 @t149) @t27)) % 0.37/0.60 (define @t151 () (not @t38)) % 0.37/0.60 (define @t152 () (or @t54 @t151 @t145)) % 0.37/0.60 (define @t153 () (and @t38 @t144)) % 0.37/0.60 (define @t154 () (and @t53 @t38 @t144)) % 0.37/0.60 (define @t155 () (forall @t43 (not @t154))) % 0.37/0.60 (define @t156 () (not @t155)) % 0.37/0.60 (define @t157 () (lambda @t57 @t153)) % 0.37/0.60 (define @t158 () (lambda @t74 @t153)) % 0.37/0.60 (define @t159 () (lambda (@list @t27 @t24 @t22) @t153)) % 0.37/0.60 (define @t160 () (_ (lambda @t40 @t153) @t14)) % 0.37/0.60 (define @t161 () (_ (lambda @t20 @t53) @t14)) % 0.37/0.60 (define @t162 () (and @t161 (_ (_ (_ @t160 @t27) @t24) @t22))) % 0.37/0.60 (define @t163 () (not @t34)) % 0.37/0.60 (define @t164 () (or @t163 @t142)) % 0.37/0.60 (define @t165 () (not @t28)) % 0.37/0.60 (define @t166 () (not @t31)) % 0.37/0.60 (define @t167 () (or @t166 @t165 @t25)) % 0.37/0.60 (define @t168 () (not @t26)) % 0.37/0.60 (define @t169 () (or @t166 @t165 @t168)) % 0.37/0.60 (define @t170 () (forall @t6 (not @t32))) % 0.37/0.60 (define @t171 () (not @t170)) % 0.37/0.60 (define @t172 () (not @t15)) % 0.37/0.60 (define @t173 () (not @t16)) % 0.37/0.60 (define @t174 () (or @t173 @t172 @t13)) % 0.37/0.60 (assume @p1 @t8) % 0.37/0.60 (assume @p2 true) % 0.37/0.60 (step @p3 (= tptp.cCKB_INJ @t21) :rule refl :args (@t21)) % 0.37/0.60 (step @p4 (= tptp.cCKB_XPL @t41) :rule refl :args (@t41)) % 0.37/0.60 (step @p5 (= tptp.cCKB_INF @t46) :rule refl :args (@t46)) % 0.37/0.60 (step @p6 (= tptp.cCKB_FIN @t48) :rule refl :args (@t48)) % 0.37/0.60 (step @p7 :rule evaluate :args ((not true))) % 0.37/0.60 (step @p8 :rule absorb :args ((= (or @t56 true) true))) % 0.37/0.60 (step @p9 :rule quant-unused-vars :args ((= (forall @t57 true) true))) % 0.37/0.60 (step @p10 :rule bool-or-taut2 :args (false @t58 false false)) % 0.37/0.60 (step @p11 :rule cong :premises (@p10) :args ((forall @t57 @t60))) % 0.37/0.60 (step @p12 :rule trans :premises (@p11 @p9)) % 0.37/0.60 (step @p13 :rule aci_norm :args ((= (or false @t59 @t58) @t60))) % 0.37/0.60 (step @p14 :rule aci_norm :args ((= (and true @t58) @t58))) % 0.37/0.60 (step @p15 :rule refl :args (@t58)) % 0.37/0.60 (step @p16 :rule eq-refl :args (tptp.c1)) % 0.37/0.60 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t62)) % 0.37/0.60 (step @p18 :rule trans :premises (@p17 @p14)) % 0.37/0.60 (step @p19 :rule refl :args (@t59)) % 0.37/0.60 (step @p20 :rule cong :premises (@p16) :args (@t63)) % 0.37/0.60 (step @p21 :rule trans :premises (@p20 @p7)) % 0.37/0.60 (step @p22 :rule nary_cong :premises (@p21 @p19 @p18) :args (@t64)) % 0.37/0.60 (step @p23 :rule trans :premises (@p22 @p13)) % 0.37/0.60 (step @p24 :rule cong :premises (@p23) :args ((forall @t57 @t64))) % 0.37/0.60 (step @p25 :rule trans :premises (@p24 @p12)) % 0.37/0.60 (step @p26 :rule quant-var-elim-eq :args ((= (forall @t68 (or (not (= @t24 tptp.c1)) @t67 @t59 @t66)) @t64))) % 0.37/0.60 (step @p27 :rule refl :args (@t66)) % 0.37/0.60 (step @p28 :rule refl :args (@t59)) % 0.37/0.60 (step @p29 :rule refl :args (@t67)) % 0.37/0.60 (step @p30 :rule eq-symm :args (tptp.c1 @t24)) % 0.37/0.60 (step @p31 :rule cong :premises (@p30) :args (@t67)) % 0.37/0.60 (step @p32 :rule nary_cong :premises (@p31 @p29 @p28 @p27) :args (@t69)) % 0.37/0.60 (step @p33 :rule aci_norm :args ((= @t70 @t69))) % 0.37/0.60 (step @p34 :rule trans :premises (@p33 @p32)) % 0.37/0.60 (step @p35 :rule cong :premises (@p34) :args (@t71)) % 0.37/0.60 (step @p36 :rule trans :premises (@p35 @p26)) % 0.37/0.60 (step @p37 :rule cong :premises (@p36) :args (@t72)) % 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(step @p53 :rule bool-double-not-elim :args (@t65)) % 0.37/0.60 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((and (not @t67) (not @t59)))) % 0.37/0.60 (step @p55 :rule bool-or-de-morgan :args (@t67 @t59 false)) % 0.37/0.60 (step @p56 :rule trans :premises (@p55 @p54)) % 0.37/0.60 (step @p57 :rule refl :args (@t50)) % 0.37/0.60 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t50 (not @t79)))) % 0.37/0.60 (step @p59 :rule bool-and-de-morgan :args (@t49 @t79 true)) % 0.37/0.60 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.60 (step @p61 :rule bool-and-de-morgan :args (@t65 @t58 true)) % 0.37/0.60 (step @p62 :rule refl :args (@t54)) % 0.37/0.60 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t82)) % 0.37/0.60 (step @p64 :rule trans :premises (@p63 @p51)) % 0.37/0.60 (step @p65 :rule cong :premises (@p64) :args ((forall @t43 @t82))) % 0.37/0.60 (step @p66 :rule trans :premises (@p65 @p50)) % 0.37/0.60 (step @p67 :rule aci_norm :args ((= (or 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@p275) :args ((or @t166 (not (and @t28 @t26))))) % 0.37/0.60 (step @p277 :rule bool-and-de-morgan :args (@t31 @t28 (and @t26))) % 0.37/0.60 (step @p278 :rule trans :premises (@p277 @p276)) % 0.37/0.60 (step @p279 :rule trans :premises (@p278 @p274)) % 0.37/0.60 (step @p280 :rule cong :premises (@p279) :args (@t170)) % 0.37/0.60 (step @p281 :rule trans :premises (@p280 @p268)) % 0.37/0.60 (step @p282 :rule cong :premises (@p281) :args (@t171)) % 0.37/0.60 (step @p283 :rule exists-elim :args ((= @t33 @t171))) % 0.37/0.60 (step @p284 :rule trans :premises (@p283 @p282)) % 0.37/0.60 (step @p285 :rule refl :args (@t34)) % 0.37/0.60 (step @p286 :rule cong :premises (@p285 @p284) :args (@t35)) % 0.37/0.60 (step @p287 :rule cong :premises (@p286) :args (@t37)) % 0.37/0.60 (step @p288 :rule trans :premises (@p287 @p254)) % 0.37/0.60 (step @p289 :rule refl :args (@t38)) % 0.37/0.60 (step @p290 :rule nary_cong :premises (@p289 @p288) :args (@t39)) % 0.37/0.60 (step @p291 :rule cong :premises (@p290) :args (@t41)) % 0.37/0.60 (step @p292 :rule trans :premises (@p4 @p291)) % 0.37/0.60 (step @p293 :rule ho_cong :premises (@p292 @p242)) % 0.37/0.60 (step @p294 :rule ho_cong :premises (@p293 @p203)) % 0.37/0.60 (step @p295 :rule ho_cong :premises (@p294 @p228)) % 0.37/0.60 (step @p296 :rule ho_cong :premises (@p295 @p226)) % 0.37/0.60 (step @p297 :rule refl :args (@t13)) % 0.37/0.60 (step @p298 :rule refl :args (@t51)) % 0.37/0.60 (step @p299 :rule refl :args (@t15)) % 0.37/0.60 (step @p300 :rule cong :premises (@p299 @p298) :args ((= @t15 @t51))) % 0.37/0.60 (step @p301 :rule symm :premises (@p300)) % 0.37/0.60 (step @p302 :rule eq_resolve :premises (@p299 @p301)) % 0.37/0.60 (step @p303 :rule cong :premises (@p302) :args (@t172)) % 0.37/0.60 (step @p304 :rule refl :args (@t52)) % 0.37/0.60 (step @p305 :rule refl :args (@t16)) % 0.37/0.60 (step @p306 :rule cong :premises (@p305 @p304) :args ((= @t16 @t52))) % 0.37/0.60 (step @p307 :rule symm :premises (@p306)) % 0.37/0.60 (step @p308 :rule eq_resolve :premises (@p305 @p307)) % 0.37/0.60 (step @p309 :rule cong :premises (@p308) :args (@t173)) % 0.37/0.60 (step @p310 :rule nary_cong :premises (@p309 @p303 @p297) :args (@t174)) % 0.37/0.60 (step @p311 :rule cong :premises (@p310) :args ((forall @t18 @t174))) % 0.37/0.60 (step @p312 :rule aci_norm :args ((= (or (or @t173 @t172) @t13) @t174))) % 0.37/0.60 (step @p313 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.37/0.60 (step @p314 :rule nary_cong :premises (@p313 @p297) :args ((or (not @t17) @t13))) % 0.37/0.60 (step @p315 :rule trans :premises (@p314 @p312)) % 0.37/0.60 (step @p316 :rule bool-impl-elim :args (@t17 @t13)) % 0.37/0.60 (step @p317 :rule trans :premises (@p316 @p315)) % 0.37/0.60 (step @p318 :rule cong :premises (@p317) :args (@t19)) % 0.37/0.60 (step @p319 :rule trans :premises (@p318 @p311)) % 0.37/0.60 (step @p320 :rule cong :premises (@p319) :args (@t21)) % 0.37/0.60 (step @p321 :rule trans :premises (@p3 @p320)) % 0.37/0.60 (step @p322 :rule ho_cong :premises (@p321 @p242)) % 0.37/0.60 (step @p323 :rule nary_cong :premises (@p322 @p296) :args (@t42)) % 0.37/0.60 (step @p324 :rule cong :premises (@p323) :args (@t44)) % 0.37/0.60 (step @p325 :rule trans :premises (@p324 @p241)) % 0.37/0.60 (step @p326 :rule cong :premises (@p325) :args (@t46)) % 0.37/0.60 (step @p327 :rule trans :premises (@p5 @p326)) % 0.37/0.60 (step @p328 :rule ho_cong :premises (@p327 @p203)) % 0.37/0.60 (step @p329 :rule cong :premises (@p328) :args (@t47)) % 0.37/0.60 (step @p330 :rule trans :premises (@p329 @p202)) % 0.37/0.60 (step @p331 :rule cong :premises (@p330) :args (@t48)) % 0.37/0.60 (step @p332 :rule trans :premises (@p6 @p331)) % 0.37/0.60 (step @p333 :rule ho_cong :premises (@p332 @p198)) % 0.37/0.60 (step @p334 :rule cong :premises (@p333) :args (@t8)) % 0.37/0.60 (step @p335 :rule trans :premises (@p334 @p197)) % 0.37/0.60 (step @p336 false :rule eq_resolve :premises (@p1 @p335)) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------