%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL588^1 : TPTP v9.3.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:07 AM UTC 2026 % Result : Theorem 0.19s 0.52s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL588^1 : TPTP v9.3.1. Released v3.6.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n001.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Fri Sep 4 14:01:59 UTC 2026 % 0.11/0.36 % CPUTime : % 0.11/0.44 %----Proving TH0 % 0.19/0.52 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.19/0.52 % SZS status Theorem % 0.19/0.52 % SZS output start Proof % 0.19/0.52 ( % 0.19/0.52 (declare-sort $$unsorted 0) % 0.19/0.52 (declare-sort tptp.individuals 0) % 0.19/0.52 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.a (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.b (-> $$unsorted Bool)) % 0.19/0.52 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.19/0.52 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.19/0.52 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.19/0.52 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.19/0.52 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.19/0.52 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.19/0.52 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.19/0.52 (define tptp.mbox () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.19/0.52 (define tptp.mdia () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.19/0.52 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.19/0.52 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.19/0.52 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.19/0.52 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.19/0.52 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.19/0.52 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.19/0.52 (define @t1 () (_ tptp.mbox tptp.r)) % 0.19/0.52 (define @t2 () (not (_ tptp.mvalid (_ (_ tptp.mimpl (_ (_ tptp.mimpl (_ (_ tptp.mdia tptp.r) tptp.a)) (_ @t1 tptp.b))) (_ @t1 (_ (_ tptp.mimpl tptp.a) tptp.b)))))) % 0.19/0.52 (define @t3 () (@var "X" $$unsorted)) % 0.19/0.52 (define @t4 () (@list @t3)) % 0.19/0.52 (define @t5 () (lambda @t4 false)) % 0.19/0.52 (define @t6 () (lambda @t4 true)) % 0.19/0.52 (define @t7 () (@var "U" $$unsorted)) % 0.19/0.52 (define @t8 () (@var "X" (-> $$unsorted Bool))) % 0.19/0.52 (define @t9 () (_ @t8 @t7)) % 0.19/0.52 (define @t10 () (lambda (@list @t8 @t7) (not @t9))) % 0.19/0.52 (define @t11 () (@var "Y" (-> $$unsorted Bool))) % 0.19/0.52 (define @t12 () (_ @t11 @t7)) % 0.19/0.52 (define @t13 () (@list @t8 @t11 @t7)) % 0.19/0.52 (define @t14 () (lambda @t13 (or @t9 @t12))) % 0.19/0.52 (define @t15 () (lambda @t13 (and @t9 @t12))) % 0.19/0.52 (define @t16 () (@var "__flatten_var_0" $$unsorted)) % 0.19/0.52 (define @t17 () (@var "V" (-> $$unsorted Bool))) % 0.19/0.52 (define @t18 () (@var "U" (-> $$unsorted Bool))) % 0.19/0.52 (define @t19 () (@list @t18 @t17 @t16)) % 0.19/0.52 (define @t20 () (lambda @t19 (_ (_ (_ tptp.mor (_ tptp.mnot @t18)) @t17) @t16))) % 0.19/0.52 (define @t21 () (lambda @t19 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t18) @t17)) (_ (_ tptp.mimpl @t17) @t18)) @t16))) % 0.19/0.52 (define @t22 () (@var "Y" $$unsorted)) % 0.19/0.52 (define @t23 () (@var "P" (-> $$unsorted Bool))) % 0.19/0.52 (define @t24 () (_ @t23 @t22)) % 0.19/0.52 (define @t25 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.19/0.52 (define @t26 () (_ (_ @t25 @t3) @t22)) % 0.19/0.52 (define @t27 () (@list @t22)) % 0.19/0.52 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.19/0.52 (define @t29 () (@list @t25 @t23 @t3)) % 0.19/0.52 (define @t30 () (lambda @t29 @t28)) % 0.19/0.52 (define @t31 () (and @t26 @t24)) % 0.19/0.52 (define @t32 () (exists @t27 @t31)) % 0.19/0.52 (define @t33 () (lambda @t29 @t32)) % 0.19/0.52 (define @t34 () (@var "W" $$unsorted)) % 0.19/0.52 (define @t35 () (@var "X" tptp.individuals)) % 0.19/0.52 (define @t36 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.19/0.52 (define @t37 () (_ (_ @t36 @t35) @t34)) % 0.19/0.52 (define @t38 () (@list @t35)) % 0.19/0.52 (define @t39 () (@list @t36 @t34)) % 0.19/0.52 (define @t40 () (lambda @t39 (forall @t38 @t37))) % 0.19/0.52 (define @t41 () (lambda @t39 (exists @t38 @t37))) % 0.19/0.52 (define @t42 () (_ @t23 @t34)) % 0.19/0.52 (define @t43 () (@list @t34)) % 0.19/0.52 (define @t44 () (forall @t43 @t42)) % 0.19/0.52 (define @t45 () (@list @t23)) % 0.19/0.52 (define @t46 () (lambda @t45 @t44)) % 0.19/0.52 (define @t47 () (lambda @t45 (exists @t43 @t42))) % 0.19/0.52 (define @t48 () (not @t42)) % 0.19/0.52 (define @t49 () (lambda @t45 (exists @t43 @t48))) % 0.19/0.52 (define @t50 () (lambda @t45 (forall @t43 @t48))) % 0.19/0.52 (define @t51 () (@var "BOUND_VARIABLE_7888" $$unsorted)) % 0.19/0.52 (define @t52 () (tptp.b @t51)) % 0.19/0.52 (define @t53 () (not (tptp.a @t51))) % 0.19/0.52 (define @t54 () (not (tptp.r @t34 @t51))) % 0.19/0.52 (define @t55 () (tptp.b @t22)) % 0.19/0.52 (define @t56 () (not (tptp.r @t34 @t22))) % 0.19/0.52 (define @t57 () (forall @t27 (or @t56 @t55))) % 0.19/0.52 (define @t58 () (tptp.a @t22)) % 0.19/0.52 (define @t59 () (not @t58)) % 0.19/0.52 (define @t60 () (forall @t27 (or @t56 @t59))) % 0.19/0.52 (define @t61 () (and (not @t60) (not @t57))) % 0.19/0.52 (define @t62 () (or @t61 @t54 @t53 @t52)) % 0.19/0.52 (define @t63 () (or @t54 @t53 @t52)) % 0.19/0.52 (define @t64 () (or @t61 @t63)) % 0.19/0.52 (define @t65 () (@list @t34 @t51)) % 0.19/0.52 (define @t66 () (forall @t65 @t64)) % 0.19/0.52 (define @t67 () (@list @t51)) % 0.19/0.52 (define @t68 () (forall @t67 @t64)) % 0.19/0.52 (define @t69 () (forall @t67 @t63)) % 0.19/0.52 (define @t70 () (or @t61 @t69)) % 0.19/0.52 (define @t71 () (forall @t27 (or @t56 @t59 @t55))) % 0.19/0.52 (define @t72 () (or (not (or @t60 @t57)) @t71)) % 0.19/0.52 (define @t73 () (not (tptp.r @t16 @t22))) % 0.19/0.52 (define @t74 () (forall @t27 (or @t73 @t59 @t55))) % 0.19/0.52 (define @t75 () (forall @t27 (or @t73 @t55))) % 0.19/0.52 (define @t76 () (forall @t27 (or @t73 @t59))) % 0.19/0.52 (define @t77 () (or @t76 @t75)) % 0.19/0.52 (define @t78 () (not @t77)) % 0.19/0.52 (define @t79 () (@list @t16)) % 0.19/0.52 (define @t80 () (lambda @t79 (or @t78 @t74))) % 0.19/0.52 (define @t81 () (_ @t80 @t34)) % 0.19/0.52 (define @t82 () (forall @t43 @t81)) % 0.19/0.52 (define @t83 () (_ @t23 @t34)) % 0.19/0.52 (define @t84 () (lambda @t45 (forall @t43 @t83))) % 0.19/0.52 (define @t85 () (not (tptp.r @t3 @t22))) % 0.19/0.52 (define @t86 () (lambda @t4 (forall @t27 (or @t85 @t59 @t55)))) % 0.19/0.52 (define @t87 () (_ @t86 @t16)) % 0.19/0.52 (define @t88 () (or @t78 @t87)) % 0.19/0.52 (define @t89 () (lambda @t79 @t88)) % 0.19/0.52 (define @t90 () (_ @t17 @t16)) % 0.19/0.52 (define @t91 () (@list @t17 @t16)) % 0.19/0.52 (define @t92 () (_ tptp.b @t22)) % 0.19/0.52 (define @t93 () (_ tptp.a @t22)) % 0.19/0.52 (define @t94 () (not @t93)) % 0.19/0.52 (define @t95 () (or @t85 @t94 @t92)) % 0.19/0.52 (define @t96 () (or @t94 @t92)) % 0.19/0.52 (define @t97 () (not (_ tptp.a @t16))) % 0.19/0.52 (define @t98 () (lambda @t79 (or @t97 (_ tptp.b @t16)))) % 0.19/0.52 (define @t99 () (_ @t98 @t22)) % 0.19/0.52 (define @t100 () (or @t85 @t99)) % 0.19/0.52 (define @t101 () (forall @t27 @t100)) % 0.19/0.52 (define @t102 () (lambda @t4 @t101)) % 0.19/0.52 (define @t103 () (_ @t23 @t22)) % 0.19/0.52 (define @t104 () (@list @t23 @t3)) % 0.19/0.52 (define @t105 () (lambda @t104 (forall @t27 (or @t85 @t103)))) % 0.19/0.52 (define @t106 () (lambda @t91 (or @t97 @t90))) % 0.19/0.52 (define @t107 () (or (not (_ @t18 @t16)) @t90)) % 0.19/0.52 (define @t108 () (lambda @t19 @t107)) % 0.19/0.52 (define @t109 () (_ @t108 tptp.a)) % 0.19/0.52 (define @t110 () (_ @t25 @t3 @t22)) % 0.19/0.52 (define @t111 () (not @t110)) % 0.19/0.52 (define @t112 () (_ (lambda @t29 (forall @t27 (or @t111 @t103))) tptp.r)) % 0.19/0.52 (define @t113 () (lambda @t79 @t77)) % 0.19/0.52 (define @t114 () (_ @t113 @t16)) % 0.19/0.52 (define @t115 () (not @t114)) % 0.19/0.52 (define @t116 () (or @t115 @t90)) % 0.19/0.52 (define @t117 () (lambda @t91 @t116)) % 0.19/0.52 (define @t118 () (lambda @t4 (forall @t27 (or @t85 @t55)))) % 0.19/0.52 (define @t119 () (_ @t118 @t16)) % 0.19/0.52 (define @t120 () (or @t76 @t119)) % 0.19/0.52 (define @t121 () (lambda @t79 @t120)) % 0.19/0.52 (define @t122 () (lambda @t4 (not (forall @t27 (or @t85 @t59))))) % 0.19/0.52 (define @t123 () (_ @t122 @t16)) % 0.19/0.52 (define @t124 () (not @t123)) % 0.19/0.52 (define @t125 () (or @t124 @t90)) % 0.19/0.52 (define @t126 () (lambda @t91 @t125)) % 0.19/0.52 (define @t127 () (not @t103)) % 0.19/0.52 (define @t128 () (lambda @t104 (not (forall @t27 (or @t85 @t127))))) % 0.19/0.52 (define @t129 () (_ (lambda @t29 (not (forall @t27 (or @t111 @t127)))) tptp.r)) % 0.19/0.52 (define @t130 () (not (_ @t18 @t7))) % 0.19/0.52 (define @t131 () (@list @t7)) % 0.19/0.52 (define @t132 () (lambda @t131 (or @t130 (_ @t17 @t7)))) % 0.19/0.52 (define @t133 () (@list @t11 @t7)) % 0.19/0.52 (define @t134 () (lambda @t131 @t130)) % 0.19/0.52 (define @t135 () (_ @t134 @t7)) % 0.19/0.52 (define @t136 () (or @t135 @t12)) % 0.19/0.52 (define @t137 () (lambda @t133 @t136)) % 0.19/0.52 (define @t138 () (not @t26)) % 0.19/0.52 (define @t139 () (or @t138 @t24)) % 0.19/0.52 (define @t140 () (not @t24)) % 0.19/0.52 (define @t141 () (or @t138 @t140)) % 0.19/0.52 (define @t142 () (forall @t27 (not @t31))) % 0.19/0.52 (define @t143 () (not @t142)) % 0.19/0.52 (define @t144 () (forall @t65 @t62)) % 0.19/0.52 (define @t145 () (@quantifiers_skolemize @t144 1)) % 0.19/0.52 (define @t146 () (tptp.b @t145)) % 0.19/0.52 (define @t147 () (tptp.a @t145)) % 0.19/0.52 (define @t148 () (not @t147)) % 0.19/0.52 (define @t149 () (@quantifiers_skolemize @t144 0)) % 0.19/0.52 (define @t150 () (tptp.r @t149 @t145)) % 0.19/0.52 (define @t151 () (not @t150)) % 0.19/0.52 (define @t152 () (not (tptp.r @t149 @t22))) % 0.19/0.52 (define @t153 () (forall @t27 (or @t152 @t55))) % 0.19/0.52 (define @t154 () (not @t153)) % 0.19/0.52 (define @t155 () (forall @t27 (or @t152 @t59))) % 0.19/0.52 (define @t156 () (not @t155)) % 0.19/0.52 (define @t157 () (and @t156 @t154)) % 0.19/0.52 (define @t158 () (or @t157 @t151 @t148 @t146)) % 0.19/0.52 (define @t159 () (@list true)) % 0.19/0.52 (define @t160 () (@list @t158)) % 0.19/0.52 (define @t161 () (or @t151 @t148)) % 0.19/0.52 (define @t162 () (not @t161)) % 0.19/0.52 (define @t163 () (@list @t145)) % 0.19/0.52 (define @t164 () (or @t151 @t146)) % 0.19/0.52 (define @t165 () (not @t164)) % 0.19/0.52 (assume @p1 @t2) % 0.19/0.52 (assume @p2 true) % 0.19/0.52 (step @p3 (= tptp.mfalse @t5) :rule refl :args (@t5)) % 0.19/0.52 (step @p4 (= tptp.mtrue @t6) :rule refl :args (@t6)) % 0.19/0.52 (step @p5 (= tptp.mnot @t10) :rule refl :args (@t10)) % 0.19/0.52 (step @p6 (= tptp.mor @t14) :rule refl :args (@t14)) % 0.19/0.52 (step @p7 (= tptp.mand @t15) :rule refl :args (@t15)) % 0.19/0.52 (step @p8 (= tptp.mimpl @t20) :rule refl :args (@t20)) % 0.19/0.52 (step @p9 (= tptp.miff @t21) :rule refl :args (@t21)) % 0.19/0.52 (step @p10 (= tptp.mbox @t30) :rule refl :args (@t30)) % 0.19/0.52 (step @p11 (= tptp.mdia @t33) :rule refl :args (@t33)) % 0.19/0.52 (step @p12 (= tptp.mall @t40) :rule refl :args (@t40)) % 0.19/0.52 (step @p13 (= tptp.mexists @t41) :rule refl :args (@t41)) % 0.19/0.52 (step @p14 (= tptp.mvalid @t46) :rule refl :args (@t46)) % 0.19/0.52 (step @p15 (= tptp.msatisfiable @t47) :rule refl :args (@t47)) % 0.19/0.52 (step @p16 (= tptp.mcountersatisfiable @t49) :rule refl :args (@t49)) % 0.19/0.52 (step @p17 (= tptp.minvalid @t50) :rule refl :args (@t50)) % 0.19/0.53 (step @p18 :rule aci_norm :args ((= @t64 @t62))) % 0.19/0.53 (step @p19 :rule cong :premises (@p18) :args (@t66)) % 0.19/0.53 (step @p20 :rule quant-merge-prenex :args ((= (forall @t43 @t68) @t66))) % 0.19/0.53 (step @p21 :rule alpha_equiv :args (@t69 (@list @t51) (@list @t22))) % 0.19/0.53 (step @p22 :rule refl :args (@t61)) % 0.19/0.53 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t70)) % 0.19/0.53 (step @p24 :rule quant-miniscope-or :args ((= @t68 @t70))) % 0.19/0.53 (step @p25 :rule trans :premises (@p24 @p23)) % 0.19/0.53 (step @p26 :rule symm :premises (@p25)) % 0.19/0.53 (step @p27 :rule cong :premises (@p26) :args ((forall @t43 (or @t61 @t71)))) % 0.19/0.53 (step @p28 :rule trans :premises (@p27 @p20)) % 0.19/0.53 (step @p29 :rule trans :premises (@p28 @p19)) % 0.19/0.53 (step @p30 :rule refl :args (@t71)) % 0.19/0.53 (step @p31 :rule bool-or-de-morgan :args (@t60 @t57 false)) % 0.19/0.53 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t72)) % 0.19/0.53 (step @p33 :rule cong :premises (@p32) :args ((forall @t43 @t72))) % 0.19/0.53 (step @p34 :rule trans :premises (@p33 @p29)) % 0.19/0.53 (step @p35 :rule beta-reduce :args ((= @t81 @t72))) % 0.19/0.53 (step @p36 :rule cong :premises (@p35) :args (@t82)) % 0.19/0.53 (step @p37 :rule trans :premises (@p36 @p34)) % 0.19/0.53 (step @p38 :rule beta-reduce :args ((= (_ @t84 @t80) @t82))) % 0.19/0.53 (step @p39 :rule trans :premises (@p38 @p37)) % 0.19/0.53 (step @p40 :rule beta-reduce :args ((= @t87 @t74))) % 0.19/0.53 (step @p41 :rule refl :args (@t78)) % 0.19/0.53 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t88)) % 0.19/0.53 (step @p43 :rule cong :premises 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0.19/0.53 (step @p152 :rule symm :premises (@p151)) % 0.19/0.53 (step @p153 :rule eq_resolve :premises (@p150 @p152)) % 0.19/0.53 (step @p154 :rule refl :args (@t110)) % 0.19/0.53 (step @p155 :rule refl :args (@t26)) % 0.19/0.53 (step @p156 :rule cong :premises (@p155 @p154) :args ((= @t26 @t110))) % 0.19/0.53 (step @p157 :rule symm :premises (@p156)) % 0.19/0.53 (step @p158 :rule eq_resolve :premises (@p155 @p157)) % 0.19/0.53 (step @p159 :rule cong :premises (@p158) :args (@t138)) % 0.19/0.53 (step @p160 :rule nary_cong :premises (@p159 @p153) :args (@t139)) % 0.19/0.53 (step @p161 :rule cong :premises (@p160) :args ((forall @t27 @t139))) % 0.19/0.53 (step @p162 :rule bool-impl-elim :args (@t26 @t24)) % 0.19/0.53 (step @p163 :rule cong :premises (@p162) :args (@t28)) % 0.19/0.53 (step @p164 :rule trans :premises (@p163 @p161)) % 0.19/0.53 (step @p165 :rule cong :premises (@p164) :args (@t30)) % 0.19/0.53 (step @p166 :rule trans :premises (@p10 @p165)) % 0.19/0.53 (step @p167 :rule ho_cong :premises (@p166 @p148)) % 0.19/0.53 (step @p168 :rule ho_cong :premises (@p167 @p147)) % 0.19/0.53 (step @p169 :rule ho_cong :premises (@p167 @p71)) % 0.19/0.53 (step @p170 :rule cong :premises (@p153) :args (@t140)) % 0.19/0.53 (step @p171 :rule nary_cong :premises (@p159 @p170) :args (@t141)) % 0.19/0.53 (step @p172 :rule cong :premises (@p171) :args ((forall @t27 @t141))) % 0.19/0.53 (step @p173 :rule bool-and-de-morgan :args (@t26 @t24 true)) % 0.19/0.53 (step @p174 :rule cong :premises (@p173) :args (@t142)) % 0.19/0.53 (step @p175 :rule trans :premises (@p174 @p172)) % 0.19/0.53 (step @p176 :rule cong :premises (@p175) :args (@t143)) % 0.19/0.53 (step @p177 :rule exists-elim :args ((= @t32 @t143))) % 0.19/0.53 (step @p178 :rule trans :premises (@p177 @p176)) % 0.19/0.53 (step @p179 :rule cong :premises (@p178) :args (@t33)) % 0.19/0.53 (step @p180 :rule trans :premises (@p11 @p179)) % 0.19/0.53 (step @p181 :rule ho_cong :premises (@p180 @p148)) % 0.19/0.53 (step @p182 :rule ho_cong :premises (@p181 @p103)) % 0.19/0.53 (step @p183 :rule ho_cong :premises (@p145 @p182)) % 0.19/0.53 (step @p184 :rule ho_cong :premises (@p183 @p169)) % 0.19/0.53 (step @p185 :rule ho_cong :premises (@p145 @p184)) % 0.19/0.53 (step @p186 :rule ho_cong :premises (@p185 @p168)) % 0.19/0.53 (step @p187 :rule refl :args (@t83)) % 0.19/0.53 (step @p188 :rule refl :args (@t42)) % 0.19/0.53 (step @p189 :rule cong :premises (@p188 @p187) :args ((= @t42 @t83))) % 0.19/0.53 (step @p190 :rule symm :premises (@p189)) % 0.19/0.53 (step @p191 :rule eq_resolve :premises (@p188 @p190)) % 0.19/0.53 (step @p192 :rule cong :premises (@p191) :args (@t44)) % 0.19/0.53 (step @p193 :rule cong :premises (@p192) :args (@t46)) % 0.19/0.53 (step @p194 :rule trans :premises (@p14 @p193)) % 0.19/0.53 (step @p195 :rule ho_cong :premises (@p194 @p186)) % 0.19/0.53 (step @p196 :rule cong :premises (@p195) :args (@t2)) % 0.19/0.53 (step @p197 :rule trans :premises (@p196 @p119)) % 0.19/0.53 (step @p198 :rule eq_resolve :premises (@p1 @p197)) % 0.19/0.53 (step @p199 :rule skolemize :premises (@p198)) % 0.19/0.53 (step @p200 :rule cnf_or_neg :args (@t158 0)) % 0.19/0.53 (step @p201 :rule chain_m_resolution :premises (@p200 @p199) :args ((not @t157) @t159 @t160)) % 0.19/0.53 (step @p202 :rule bool-double-not-elim :args (@t147)) % 0.19/0.53 (step @p203 :rule refl :args (@t158)) % 0.19/0.53 (step @p204 :rule nary_cong :premises (@p203 @p202) :args ((or @t158 (not @t148)))) % 0.19/0.53 (step @p205 :rule cnf_or_neg :args (@t158 2)) % 0.19/0.53 (step @p206 :rule eq_resolve :premises (@p205 @p204)) % 0.19/0.53 (step @p207 :rule reordering :premises (@p206) :args ((or @t147 @t158))) % 0.19/0.53 (step @p208 :rule chain_m_resolution :premises (@p207 @p199) :args (@t147 @t159 @t160)) % 0.19/0.53 (step @p209 :rule bool-double-not-elim :args (@t150)) % 0.19/0.53 (step @p210 :rule nary_cong :premises (@p203 @p209) :args ((or @t158 (not @t151)))) % 0.19/0.53 (step @p211 :rule cnf_or_neg :args (@t158 1)) % 0.19/0.53 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.19/0.53 (step @p213 :rule reordering :premises (@p212) :args ((or @t150 @t158))) % 0.19/0.53 (step @p214 :rule chain_m_resolution :premises (@p213 @p199) :args (@t150 @t159 @t160)) % 0.19/0.53 (step @p215 :rule cnf_or_pos :args (@t161)) % 0.19/0.53 (step @p216 :rule reordering :premises (@p215) :args ((or @t151 @t148 @t162))) % 0.19/0.53 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p208) :args (@t162 (@list false false) (@list @t150 @t147))) % 0.19/0.53 (assume-push @p243 @t155) % 0.19/0.53 (step @p219 :rule instantiate :premises (@p243) :args (@t163)) % 0.19/0.53 (step-pop @p244 :rule scope :premises (@p219)) % 0.19/0.53 (step @p220 :rule process_scope :premises (@p244) :args (@t161)) % 0.19/0.53 (step @p222 :rule implies_elim :premises (@p220)) % 0.19/0.53 (step @p223 :rule chain_m_resolution :premises (@p222 @p217) :args (@t156 @t159 (@list @t161))) % 0.19/0.53 (step @p224 :rule bool-double-not-elim :args (@t153)) % 0.19/0.53 (step @p225 :rule bool-double-not-elim :args (@t155)) % 0.19/0.53 (step @p226 :rule refl :args (@t157)) % 0.19/0.53 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224) :args ((or @t157 (not @t156) (not @t154)))) % 0.19/0.53 (step @p228 :rule cnf_and_neg :args (@t157)) % 0.19/0.53 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.19/0.53 (step @p230 :rule reordering :premises (@p229) :args ((or @t155 @t153 @t157))) % 0.19/0.53 (step @p231 :rule chain_m_resolution :premises (@p230 @p223 @p201) :args (@t153 (@list true true) (@list @t155 @t157))) % 0.19/0.53 (step @p232 :rule cnf_or_neg :args (@t158 3)) % 0.19/0.53 (step @p233 :rule chain_m_resolution :premises (@p232 @p199) :args ((not @t146) @t159 @t160)) % 0.19/0.53 (step @p234 :rule cnf_or_pos :args (@t164)) % 0.19/0.53 (step @p235 :rule reordering :premises (@p234) :args ((or @t151 @t146 @t165))) % 0.19/0.53 (step @p236 :rule chain_m_resolution :premises (@p235 @p214 @p233) :args (@t165 (@list false true) (@list @t150 @t146))) % 0.19/0.53 (assume-push @p245 @t153) % 0.19/0.53 (step @p238 :rule instantiate :premises (@p245) :args (@t163)) % 0.19/0.53 (step-pop @p246 :rule scope :premises (@p238)) % 0.19/0.53 (step @p239 :rule process_scope :premises (@p246) :args (@t164)) % 0.19/0.53 (step @p241 :rule implies_elim :premises (@p239)) % 0.19/0.53 (step @p242 false :rule chain_m_resolution :premises (@p241 @p236 @p231) :args (false (@list true false) (@list @t164 @t153))) % 0.19/0.53 ) % 0.19/0.53 % SZS output end Proof % 0.19/0.53 % cvc5 exiting %------------------------------------------------------------------------------