%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV442^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 09:01:33 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 : SWV442^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:18:02 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----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 $$unsorted 0) % 0.37/0.60 (declare-sort tptp.individuals 0) % 0.37/0.60 (declare-const tptp.reli (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.relr (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.princ_inj (-> tptp.individuals $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.bl_valid (-> (-> $$unsorted Bool) Bool)) % 0.37/0.60 (declare-const tptp.bl_false (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.loca tptp.individuals) % 0.37/0.60 (declare-const tptp.bl_true (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.cs4_false (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.cs4_true (-> $$unsorted Bool)) % 0.37/0.60 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.37/0.60 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.37/0.60 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.37/0.60 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.37/0.60 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.60 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.37/0.60 (define tptp.mbox () (let ((_let_1 (@var "Y" $$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))))))))) % 0.37/0.60 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.37/0.60 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.60 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.60 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.60 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.60 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.cs4_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) _let_2) _let_1))))) % 0.37/0.60 (define tptp.cs4_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.37/0.60 (define tptp.cs4_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor _let_3) _let_2) _let_1)))))) % 0.37/0.60 (define tptp.cs4_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.37/0.60 (define tptp.cs4_all () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ tptp.mall _let_2)) _let_1))))) % 0.37/0.60 (define tptp.cs4_box () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ (_ tptp.mbox tptp.relr) _let_2)) _let_1))))) % 0.37/0.60 (define tptp.cs4_valid () (let ((_let_1 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 0.37/0.60 (define tptp.bl_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.cs4_atom _let_2) _let_1))))) % 0.37/0.60 (define tptp.bl_princ () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.cs4_atom _let_2) _let_1))))) % 0.37/0.60 (define tptp.bl_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.cs4_and _let_3) _let_2) _let_1)))))) % 0.37/0.60 (define tptp.bl_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.cs4_or _let_3) _let_2) _let_1)))))) % 0.37/0.60 (define tptp.bl_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.cs4_impl _let_3) _let_2) _let_1)))))) % 0.37/0.60 (define tptp.bl_all () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.cs4_all _let_2) _let_1))))) % 0.37/0.60 (define tptp.bl_says () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> $$unsorted Bool)))) (let ((_let_3 (@var "K" tptp.individuals))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.cs4_box (_ (_ tptp.cs4_impl (_ tptp.bl_princ (_ tptp.princ_inj _let_3))) _let_2)) _let_1)))))) % 0.37/0.60 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 0.37/0.60 (define @t2 () (_ tptp.mbox tptp.reli)) % 0.37/0.60 (define @t3 () (_ @t2 @t1)) % 0.37/0.60 (define @t4 () (_ tptp.mimpl @t3)) % 0.37/0.60 (define @t5 () (@list @t1)) % 0.37/0.60 (define @t6 () (_ tptp.mbox tptp.relr)) % 0.37/0.60 (define @t7 () (_ @t6 @t1)) % 0.37/0.60 (define @t8 () (_ tptp.mimpl @t7)) % 0.37/0.60 (define @t9 () (_ @t2 @t7)) % 0.37/0.60 (define @t10 () (= tptp.bl_valid tptp.mvalid)) % 0.37/0.60 (define @t11 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.60 (define @t12 () (@var "K" tptp.individuals)) % 0.37/0.60 (define @t13 () (_ tptp.princ_inj @t12)) % 0.37/0.60 (define @t14 () (_ tptp.bl_atom @t1)) % 0.37/0.60 (define @t15 () (forall @t5 (_ tptp.bl_valid (_ (_ tptp.bl_impl @t14) @t14)))) % 0.37/0.60 (define @t16 () (not @t15)) % 0.37/0.60 (define @t17 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t18 () (@list @t17)) % 0.37/0.60 (define @t19 () (lambda @t18 false)) % 0.37/0.60 (define @t20 () (lambda @t18 true)) % 0.37/0.60 (define @t21 () (@var "U" $$unsorted)) % 0.37/0.60 (define @t22 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.60 (define @t23 () (_ @t22 @t21)) % 0.37/0.60 (define @t24 () (lambda (@list @t22 @t21) (not @t23))) % 0.37/0.60 (define @t25 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.60 (define @t26 () (_ @t25 @t21)) % 0.37/0.60 (define @t27 () (@list @t22 @t25 @t21)) % 0.37/0.60 (define @t28 () (lambda @t27 (or @t23 @t26))) % 0.37/0.60 (define @t29 () (lambda @t27 (and @t23 @t26))) % 0.37/0.60 (define @t30 () (@var "V" (-> $$unsorted Bool))) % 0.37/0.60 (define @t31 () (@var "U" (-> $$unsorted Bool))) % 0.37/0.60 (define @t32 () (@list @t31 @t30 @t11)) % 0.37/0.60 (define @t33 () (lambda @t32 (_ (_ (_ tptp.mor (_ tptp.mnot @t31)) @t30) @t11))) % 0.37/0.60 (define @t34 () (lambda @t32 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t31) @t30)) (_ (_ tptp.mimpl @t30) @t31)) @t11))) % 0.37/0.60 (define @t35 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t36 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.60 (define @t37 () (_ @t36 @t35)) % 0.37/0.60 (define @t38 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.60 (define @t39 () (_ (_ @t38 @t17) @t35)) % 0.37/0.60 (define @t40 () (@list @t35)) % 0.37/0.60 (define @t41 () (forall @t40 (=> @t39 @t37))) % 0.37/0.60 (define @t42 () (@list @t38 @t36 @t17)) % 0.37/0.60 (define @t43 () (lambda @t42 @t41)) % 0.37/0.60 (define @t44 () (lambda @t42 (exists @t40 (and @t39 @t37)))) % 0.37/0.60 (define @t45 () (@var "W" $$unsorted)) % 0.37/0.60 (define @t46 () (@var "X" tptp.individuals)) % 0.37/0.60 (define @t47 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.37/0.60 (define @t48 () (_ (_ @t47 @t46) @t45)) % 0.37/0.60 (define @t49 () (@list @t46)) % 0.37/0.60 (define @t50 () (@list @t47 @t45)) % 0.37/0.60 (define @t51 () (lambda @t50 (forall @t49 @t48))) % 0.37/0.60 (define @t52 () (lambda @t50 (exists @t49 @t48))) % 0.37/0.60 (define @t53 () (_ @t36 @t45)) % 0.37/0.60 (define @t54 () (@list @t45)) % 0.37/0.60 (define @t55 () (forall @t54 @t53)) % 0.37/0.60 (define @t56 () (@list @t36)) % 0.37/0.60 (define @t57 () (lambda @t56 @t55)) % 0.37/0.60 (define @t58 () (lambda @t56 (exists @t54 @t53))) % 0.37/0.60 (define @t59 () (not @t53)) % 0.37/0.60 (define @t60 () (lambda @t56 (exists @t54 @t59))) % 0.37/0.60 (define @t61 () (lambda @t56 (forall @t54 @t59))) % 0.37/0.60 (define @t62 () (@list @t36 @t11)) % 0.37/0.60 (define @t63 () (lambda @t62 (_ (_ @t2 @t36) @t11))) % 0.37/0.60 (define @t64 () (@var "B" (-> $$unsorted Bool))) % 0.37/0.60 (define @t65 () (@list @t1 @t64 @t11)) % 0.37/0.60 (define @t66 () (lambda @t65 (_ (_ (_ tptp.mand @t1) @t64) @t11))) % 0.37/0.60 (define @t67 () (lambda @t65 (_ (_ (_ tptp.mor @t1) @t64) @t11))) % 0.37/0.60 (define @t68 () (lambda @t65 (_ (_ @t2 (_ (_ tptp.mimpl @t1) @t64)) @t11))) % 0.37/0.60 (define @t69 () (@var "A" (-> tptp.individuals $$unsorted Bool))) % 0.37/0.60 (define @t70 () (@list @t69 @t11)) % 0.37/0.60 (define @t71 () (lambda @t70 (_ (_ @t2 (_ tptp.mall @t69)) @t11))) % 0.37/0.60 (define @t72 () (lambda (@list @t1 @t11) (_ @t9 @t11))) % 0.37/0.60 (define @t73 () (lambda @t5 (_ tptp.mvalid @t1))) % 0.37/0.60 (define @t74 () (lambda @t62 (_ (_ tptp.cs4_atom @t36) @t11))) % 0.37/0.60 (define @t75 () (lambda @t65 (_ (_ (_ tptp.cs4_and @t1) @t64) @t11))) % 0.37/0.60 (define @t76 () (lambda @t65 (_ (_ (_ tptp.cs4_or @t1) @t64) @t11))) % 0.37/0.60 (define @t77 () (lambda @t65 (_ (_ (_ tptp.cs4_impl @t1) @t64) @t11))) % 0.37/0.60 (define @t78 () (lambda @t70 (_ (_ tptp.cs4_all @t69) @t11))) % 0.37/0.60 (define @t79 () (lambda (@list @t12 @t1 @t11) (_ (_ tptp.cs4_box (_ (_ tptp.cs4_impl (_ tptp.bl_princ @t13)) @t1)) @t11))) % 0.37/0.60 (define @t80 () (@var "BOUND_VARIABLE_8738" $$unsorted)) % 0.37/0.60 (define @t81 () (lambda (@list @t80) true)) % 0.37/0.60 (define @t82 () (_ @t81 @t45)) % 0.37/0.60 (define @t83 () (forall @t54 @t82)) % 0.37/0.60 (define @t84 () (_ @t36 @t45)) % 0.37/0.60 (define @t85 () (lambda @t56 (forall @t54 @t84))) % 0.37/0.60 (define @t86 () (_ @t85 @t81)) % 0.37/0.60 (define @t87 () (_ tptp.bl_valid @t81)) % 0.37/0.60 (define @t88 () (@list @t11)) % 0.37/0.60 (define @t89 () (not (tptp.reli @t11 @t35))) % 0.37/0.60 (define @t90 () (@var "BOUND_VARIABLE_8697" $$unsorted)) % 0.37/0.60 (define @t91 () (_ @t1 @t90)) % 0.37/0.60 (define @t92 () (@list @t90)) % 0.37/0.60 (define @t93 () (forall @t92 (or (not (tptp.reli @t35 @t90)) @t91))) % 0.37/0.60 (define @t94 () (not @t93)) % 0.37/0.60 (define @t95 () (_ @t1 @t35)) % 0.37/0.60 (define @t96 () (forall @t40 (or @t89 @t95))) % 0.37/0.60 (define @t97 () (lambda @t88 @t96)) % 0.37/0.60 (define @t98 () (_ @t97 @t35)) % 0.37/0.60 (define @t99 () (or @t89 @t94 @t98)) % 0.37/0.60 (define @t100 () (forall @t40 @t99)) % 0.37/0.60 (define @t101 () (lambda @t88 @t100)) % 0.37/0.60 (define @t102 () (_ @t64 @t35)) % 0.37/0.60 (define @t103 () (@list @t64 @t11)) % 0.37/0.60 (define @t104 () (_ @t36 @t35)) % 0.37/0.60 (define @t105 () (forall @t40 (or @t89 @t104))) % 0.37/0.60 (define @t106 () (lambda @t62 @t105)) % 0.37/0.60 (define @t107 () (_ @t106 @t1)) % 0.37/0.60 (define @t108 () (not @t98)) % 0.37/0.60 (define @t109 () (or @t89 @t108 @t102)) % 0.37/0.60 (define @t110 () (forall @t40 @t109)) % 0.37/0.60 (define @t111 () (lambda @t103 @t110)) % 0.37/0.60 (define @t112 () (not @t95)) % 0.37/0.60 (define @t113 () (forall @t40 (or @t89 @t112 @t102))) % 0.37/0.60 (define @t114 () (lambda @t65 @t113)) % 0.37/0.60 (define @t115 () (forall @t5 (_ tptp.bl_valid (_ (_ @t114 @t107) @t107)))) % 0.37/0.60 (define @t116 () (lambda @t88 @t105)) % 0.37/0.60 (define @t117 () (not (tptp.reli @t17 @t35))) % 0.37/0.60 (define @t118 () (forall @t40 (or @t117 @t104))) % 0.37/0.60 (define @t119 () (lambda @t18 @t118)) % 0.37/0.60 (define @t120 () (lambda (@list @t36 @t17) @t118)) % 0.37/0.60 (define @t121 () (_ @t38 @t17 @t35)) % 0.37/0.60 (define @t122 () (not @t39)) % 0.37/0.60 (define @t123 () (or @t122 @t37)) % 0.37/0.60 (define @t124 () (lambda @t88 @t113)) % 0.37/0.60 (define @t125 () (lambda @t103 @t113)) % 0.37/0.60 (define @t126 () (_ @t64 @t35)) % 0.37/0.60 (define @t127 () (_ @t1 @t35)) % 0.37/0.60 (define @t128 () (not @t127)) % 0.37/0.60 (define @t129 () (or @t117 @t128 @t126)) % 0.37/0.60 (define @t130 () (or @t128 @t126)) % 0.37/0.60 (define @t131 () (not (_ @t1 @t11))) % 0.37/0.60 (define @t132 () (lambda @t88 (or @t131 (_ @t64 @t11)))) % 0.37/0.60 (define @t133 () (_ @t132 @t35)) % 0.37/0.60 (define @t134 () (or @t117 @t133)) % 0.37/0.60 (define @t135 () (forall @t40 @t134)) % 0.37/0.60 (define @t136 () (lambda @t18 @t135)) % 0.37/0.60 (define @t137 () (_ @t30 @t11)) % 0.37/0.60 (define @t138 () (lambda (@list @t30 @t11) (or @t131 @t137))) % 0.37/0.60 (define @t139 () (or (not (_ @t31 @t11)) @t137)) % 0.37/0.60 (define @t140 () (not (_ @t31 @t21))) % 0.37/0.60 (define @t141 () (@list @t21)) % 0.37/0.60 (define @t142 () (lambda @t141 (or @t140 (_ @t30 @t21)))) % 0.37/0.60 (define @t143 () (@list @t25 @t21)) % 0.37/0.60 (define @t144 () (lambda @t141 @t140)) % 0.37/0.60 (define @t145 () (_ @t144 @t21)) % 0.37/0.60 (define @t146 () (or @t145 @t26)) % 0.37/0.60 (define @t147 () (lambda @t143 @t146)) % 0.37/0.60 (assume @p1 (= tptp.cs4_true tptp.mtrue)) % 0.37/0.60 (assume @p2 (= tptp.cs4_false tptp.mfalse)) % 0.37/0.60 (assume @p3 (forall @t5 (_ tptp.mvalid (_ @t4 @t1)))) % 0.37/0.60 (assume @p4 (forall @t5 (_ tptp.mvalid (_ @t8 @t1)))) % 0.37/0.60 (assume @p5 (forall @t5 (_ tptp.mvalid (_ @t4 (_ @t2 @t3))))) % 0.37/0.60 (assume @p6 (forall @t5 (_ tptp.mvalid (_ @t8 (_ @t6 @t7))))) % 0.37/0.60 (assume @p7 (forall @t5 (_ tptp.mvalid (_ (_ tptp.mimpl @t9) (_ @t6 @t3))))) % 0.37/0.60 (assume @p8 (= tptp.bl_true tptp.cs4_true)) % 0.37/0.60 (assume @p9 (= tptp.bl_false tptp.cs4_false)) % 0.37/0.60 (assume @p10 @t10) % 0.37/0.60 (assume @p11 (_ tptp.cs4_valid (_ tptp.cs4_all (lambda (@list @t12 @t11) (_ (_ (_ tptp.cs4_impl @t13) (_ tptp.princ_inj tptp.loca)) @t11))))) % 0.37/0.60 (assume @p12 @t16) % 0.37/0.60 (assume @p13 true) % 0.37/0.60 (step @p14 (= tptp.mfalse @t19) :rule refl :args (@t19)) % 0.37/0.60 (step @p15 (= tptp.mtrue @t20) :rule refl :args (@t20)) % 0.37/0.60 (step @p16 (= tptp.mnot @t24) :rule refl :args (@t24)) % 0.37/0.60 (step @p17 (= tptp.mor @t28) :rule refl :args (@t28)) % 0.37/0.60 (step @p18 (= tptp.mand @t29) :rule refl :args (@t29)) % 0.37/0.60 (step @p19 (= tptp.mimpl @t33) :rule refl :args (@t33)) % 0.37/0.60 (step @p20 (= tptp.miff @t34) :rule refl :args (@t34)) % 0.37/0.60 (step @p21 (= tptp.mbox @t43) :rule refl :args (@t43)) % 0.37/0.60 (step @p22 (= tptp.mdia @t44) :rule refl :args (@t44)) % 0.37/0.60 (step @p23 (= tptp.mall @t51) :rule refl :args (@t51)) % 0.37/0.60 (step @p24 (= tptp.mexists @t52) :rule refl :args (@t52)) % 0.37/0.60 (step @p25 (= tptp.mvalid @t57) :rule refl :args (@t57)) % 0.37/0.60 (step @p26 (= tptp.msatisfiable @t58) :rule refl :args (@t58)) % 0.37/0.60 (step @p27 (= tptp.mcountersatisfiable @t60) :rule refl :args (@t60)) % 0.37/0.60 (step @p28 (= tptp.minvalid @t61) :rule refl :args (@t61)) % 0.37/0.60 (step @p29 (= tptp.cs4_atom @t63) :rule refl :args (@t63)) % 0.37/0.60 (step @p30 (= tptp.cs4_and @t66) :rule refl :args (@t66)) % 0.37/0.60 (step @p31 (= tptp.cs4_or @t67) :rule refl :args (@t67)) % 0.37/0.60 (step @p32 (= tptp.cs4_impl @t68) :rule refl :args (@t68)) % 0.37/0.60 (step @p33 (= tptp.cs4_all @t71) :rule refl :args (@t71)) % 0.37/0.60 (step @p34 (= tptp.cs4_box @t72) :rule refl :args (@t72)) % 0.37/0.60 (step @p35 (= tptp.cs4_valid @t73) :rule refl :args (@t73)) % 0.37/0.60 (step @p36 (= tptp.bl_atom @t74) :rule refl :args (@t74)) % 0.37/0.60 (step @p37 (= tptp.bl_princ @t74) :rule refl :args (@t74)) % 0.37/0.60 (step @p38 (= tptp.bl_and @t75) :rule refl :args (@t75)) % 0.37/0.60 (step @p39 (= tptp.bl_or @t76) :rule refl :args (@t76)) % 0.37/0.60 (step @p40 (= tptp.bl_impl @t77) :rule refl :args (@t77)) % 0.37/0.60 (step @p41 (= tptp.bl_all @t78) :rule refl :args (@t78)) % 0.37/0.60 (step @p42 (= tptp.bl_says @t79) :rule refl :args (@t79)) % 0.37/0.60 (step @p43 :rule evaluate :args ((not true))) % 0.37/0.60 (step @p44 :rule quant-unused-vars :args ((= (forall @t54 true) true))) % 0.37/0.60 (step @p45 :rule beta-reduce :args ((= @t82 true))) % 0.37/0.60 (step @p46 :rule cong :premises (@p45) :args (@t83)) % 0.37/0.60 (step @p47 :rule trans :premises (@p46 @p44)) % 0.37/0.60 (step @p48 :rule beta-reduce :args ((= @t86 @t83))) % 0.37/0.60 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.60 (step @p50 :rule cong :premises (@p49) :args ((not @t86))) % 0.37/0.60 (step @p51 :rule trans :premises (@p50 @p43)) % 0.37/0.60 (step @p52 :rule refl :args (@t81)) % 0.37/0.60 (step @p53 :rule eq-symm :args (tptp.bl_valid @t85)) % 0.37/0.60 (step @p54 :rule refl :args (@t84)) % 0.37/0.60 (step @p55 :rule refl :args (@t53)) % 0.37/0.60 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t53 @t84))) % 0.37/0.60 (step @p57 :rule symm :premises (@p56)) % 0.37/0.60 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.37/0.60 (step @p59 :rule cong :premises (@p58) :args (@t55)) % 0.37/0.60 (step @p60 :rule cong :premises (@p59) :args (@t57)) % 0.37/0.60 (step @p61 :rule trans :premises (@p25 @p60)) % 0.37/0.60 (step @p62 :rule refl :args (tptp.bl_valid)) % 0.37/0.60 (step @p63 :rule cong :premises (@p62 @p61) :args (@t10)) % 0.37/0.60 (step @p64 :rule trans :premises (@p63 @p53)) % 0.37/0.60 (step @p65 :rule eq_resolve :premises (@p10 @p64)) % 0.37/0.60 (step @p66 :rule symm :premises (@p65)) % 0.37/0.60 (step @p67 :rule ho_cong :premises (@p66 @p52)) % 0.37/0.60 (step @p68 :rule cong :premises (@p67) :args ((not @t87))) % 0.37/0.60 (step @p69 :rule trans :premises (@p68 @p51)) % 0.37/0.60 (step @p70 :rule quant-unused-vars :args ((= (forall @t5 @t87) @t87))) % 0.37/0.60 (step @p71 :rule refl :args (@t81)) % 0.37/0.60 (step @p72 :rule symm :premises (@p71)) % 0.37/0.60 (step @p73 :rule alpha_equiv :args ((lambda @t88 true) (@list @t11) (@list @t80))) % 0.37/0.60 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.60 (step @p75 :rule quant-unused-vars :args ((= (forall @t40 true) true))) % 0.37/0.60 (step @p76 :rule bool-or-taut2 :args ((or @t89) @t93 false false)) % 0.37/0.60 (step @p77 :rule cong :premises (@p76) :args ((forall @t40 (or @t89 @t94 @t93)))) % 0.37/0.60 (step @p78 :rule trans :premises (@p77 @p75)) % 0.37/0.60 (step @p79 :rule beta-reduce :args ((= (_ (lambda @t88 (forall @t92 (or (not (tptp.reli @t11 @t90)) @t91))) @t35) @t93))) % 0.37/0.60 (step @p80 :rule refl :args (@t35)) % 0.37/0.60 (step @p81 :rule alpha_equiv :args (@t96 (@list @t35) (@list @t90))) % 0.37/0.60 (step @p82 :rule cong :premises (@p81) :args (@t97)) % 0.37/0.60 (step @p83 :rule ho_cong :premises (@p82 @p80)) % 0.37/0.60 (step @p84 :rule trans :premises (@p83 @p79)) % 0.37/0.60 (step @p85 :rule refl :args (@t94)) % 0.37/0.60 (step @p86 :rule refl :args (@t89)) % 0.37/0.60 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t99)) % 0.37/0.60 (step @p88 :rule cong :premises (@p87) :args (@t100)) % 0.37/0.60 (step @p89 :rule trans :premises (@p88 @p78)) % 0.37/0.60 (step @p90 :rule cong :premises (@p89) :args (@t101)) % 0.37/0.60 (step @p91 :rule trans :premises (@p90 @p74)) % 0.37/0.60 (step @p92 :rule beta-reduce :args ((= (_ (lambda @t103 (forall @t40 (or @t89 @t94 @t102))) @t97) @t101))) % 0.37/0.60 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.60 (step @p94 :rule beta-reduce :args ((= @t107 @t97))) % 0.37/0.60 (step @p95 :rule refl :args (@t102)) % 0.37/0.60 (step @p96 :rule cong :premises (@p84) :args (@t108)) % 0.37/0.60 (step @p97 :rule nary_cong :premises (@p86 @p96 @p95) :args (@t109)) % 0.37/0.60 (step @p98 :rule cong :premises (@p97) :args (@t110)) % 0.37/0.60 (step @p99 :rule cong :premises (@p98) :args (@t111)) % 0.37/0.60 (step @p100 :rule beta-reduce :args ((= (_ @t114 @t97) @t111))) % 0.37/0.60 (step @p101 :rule trans :premises (@p100 @p99)) % 0.37/0.60 (step @p102 :rule refl :args (@t114)) % 0.37/0.60 (step @p103 :rule ho_cong :premises (@p102 @p94)) % 0.37/0.60 (step @p104 :rule trans :premises (@p103 @p101)) % 0.37/0.60 (step @p105 :rule ho_cong :premises (@p104 @p94)) % 0.37/0.60 (step @p106 :rule trans :premises (@p105 @p93)) % 0.37/0.60 (step @p107 :rule ho_cong :premises (@p62 @p106)) % 0.37/0.60 (step @p108 :rule cong :premises (@p107) :args (@t115)) % 0.37/0.60 (step @p109 :rule trans :premises (@p108 @p70)) % 0.37/0.60 (step @p110 :rule cong :premises (@p109) :args ((not @t115))) % 0.37/0.60 (step @p111 :rule refl :args (@t1)) % 0.37/0.60 (step @p112 :rule beta-reduce :args ((= (_ @t116 @t11) @t105))) % 0.37/0.60 (step @p113 :rule refl :args (@t11)) % 0.37/0.60 (step @p114 :rule beta-reduce :args ((= (_ @t106 @t36) @t116))) % 0.37/0.60 (step @p115 :rule ho_cong :premises (@p114 @p113)) % 0.37/0.60 (step @p116 :rule trans :premises (@p115 @p112)) % 0.37/0.60 (step @p117 :rule refl :args (@t36)) % 0.37/0.60 (step @p118 :rule beta-reduce :args ((= (_ @t119 @t11) @t105))) % 0.37/0.60 (step @p119 :rule beta-reduce :args ((= (_ @t120 @t36) @t119))) % 0.37/0.60 (step @p120 :rule beta-reduce :args ((= (_ (lambda @t42 (forall @t40 (or (not @t121) @t104))) tptp.reli) @t120))) % 0.37/0.60 (step @p121 :rule ho_cong :premises (@p120 @p117)) % 0.37/0.60 (step @p122 :rule trans :premises (@p121 @p119)) % 0.37/0.60 (step @p123 :rule ho_cong :premises (@p122 @p113)) % 0.37/0.60 (step @p124 :rule trans :premises (@p123 @p118)) % 0.37/0.60 (step @p125 :rule refl :args (tptp.reli)) % 0.37/0.60 (step @p126 :rule refl :args (@t104)) % 0.37/0.60 (step @p127 :rule refl :args (@t37)) % 0.37/0.60 (step @p128 :rule cong :premises (@p127 @p126) :args ((= @t37 @t104))) % 0.37/0.60 (step @p129 :rule symm :premises (@p128)) % 0.37/0.60 (step @p130 :rule eq_resolve :premises (@p127 @p129)) % 0.37/0.60 (step @p131 :rule refl :args (@t121)) % 0.37/0.60 (step @p132 :rule refl :args (@t39)) % 0.37/0.60 (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t39 @t121))) % 0.37/0.60 (step @p134 :rule symm :premises (@p133)) % 0.37/0.60 (step @p135 :rule eq_resolve :premises (@p132 @p134)) % 0.37/0.60 (step @p136 :rule cong :premises (@p135) :args (@t122)) % 0.37/0.60 (step @p137 :rule nary_cong :premises (@p136 @p130) :args (@t123)) % 0.37/0.60 (step @p138 :rule cong :premises (@p137) :args ((forall @t40 @t123))) % 0.37/0.60 (step @p139 :rule bool-impl-elim :args (@t39 @t37)) % 0.37/0.60 (step @p140 :rule cong :premises (@p139) :args (@t41)) % 0.37/0.60 (step @p141 :rule trans :premises (@p140 @p138)) % 0.37/0.60 (step @p142 :rule cong :premises (@p141) :args (@t43)) % 0.37/0.60 (step @p143 :rule trans :premises (@p21 @p142)) % 0.37/0.60 (step @p144 :rule ho_cong :premises (@p143 @p125)) % 0.37/0.60 (step @p145 :rule ho_cong :premises (@p144 @p117)) % 0.37/0.60 (step @p146 :rule ho_cong :premises (@p145 @p113)) % 0.37/0.60 (step @p147 :rule trans :premises (@p146 @p124)) % 0.37/0.60 (step @p148 :rule cong :premises (@p147) :args (@t63)) % 0.37/0.60 (step @p149 :rule trans :premises (@p29 @p148)) % 0.37/0.60 (step @p150 :rule ho_cong :premises (@p149 @p117)) % 0.37/0.60 (step @p151 :rule ho_cong :premises (@p150 @p113)) % 0.37/0.60 (step @p152 :rule trans :premises (@p151 @p116)) % 0.37/0.60 (step @p153 :rule cong :premises (@p152) :args (@t74)) % 0.37/0.60 (step @p154 :rule trans :premises (@p36 @p153)) % 0.37/0.60 (step @p155 :rule ho_cong :premises (@p154 @p111)) % 0.37/0.60 (step @p156 :rule beta-reduce :args ((= (_ @t124 @t11) @t113))) % 0.37/0.60 (step @p157 :rule beta-reduce :args ((= (_ @t125 @t64) @t124))) % 0.37/0.60 (step @p158 :rule refl :args (@t64)) % 0.37/0.60 (step @p159 :rule beta-reduce :args ((= (_ @t114 @t1) @t125))) % 0.37/0.60 (step @p160 :rule ho_cong :premises (@p159 @p158)) % 0.37/0.60 (step @p161 :rule trans :premises (@p160 @p157)) % 0.37/0.60 (step @p162 :rule ho_cong :premises (@p161 @p113)) % 0.37/0.60 (step @p163 :rule trans :premises (@p162 @p156)) % 0.37/0.60 (step @p164 :rule beta-reduce :args ((= (_ (lambda @t18 (forall @t40 (or @t117 @t112 @t102))) @t11) @t113))) % 0.37/0.60 (step @p165 :rule refl :args (@t102)) % 0.37/0.60 (step @p166 :rule refl :args (@t126)) % 0.37/0.60 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t126 @t102))) % 0.37/0.60 (step @p168 :rule symm :premises (@p167)) % 0.37/0.60 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 0.37/0.60 (step @p170 :rule refl :args (@t95)) % 0.37/0.60 (step @p171 :rule refl :args (@t127)) % 0.37/0.60 (step @p172 :rule cong :premises (@p171 @p170) :args ((= @t127 @t95))) % 0.37/0.60 (step @p173 :rule symm :premises (@p172)) % 0.37/0.60 (step @p174 :rule eq_resolve :premises (@p171 @p173)) % 0.37/0.60 (step @p175 :rule cong :premises (@p174) :args (@t128)) % 0.37/0.60 (step @p176 :rule refl :args (@t117)) % 0.37/0.60 (step @p177 :rule nary_cong :premises (@p176 @p175 @p169) :args (@t129)) % 0.37/0.60 (step @p178 :rule cong :premises (@p177) :args ((forall @t40 @t129))) % 0.37/0.60 (step @p179 :rule aci_norm :args ((= (or @t117 @t130) @t129))) % 0.37/0.60 (step @p180 :rule beta-reduce :args ((= @t133 @t130))) % 0.37/0.60 (step @p181 :rule refl :args (@t117)) % 0.37/0.60 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t134)) % 0.37/0.60 (step @p183 :rule trans :premises (@p182 @p179)) % 0.37/0.60 (step @p184 :rule cong :premises (@p183) :args (@t135)) % 0.37/0.60 (step @p185 :rule trans :premises (@p184 @p178)) % 0.37/0.60 (step @p186 :rule cong :premises (@p185) :args (@t136)) % 0.37/0.60 (step @p187 :rule beta-reduce :args ((= (_ @t120 @t132) @t136))) % 0.37/0.60 (step @p188 :rule trans :premises (@p187 @p186)) % 0.37/0.60 (step @p189 :rule beta-reduce :args ((= (_ @t138 @t64) @t132))) % 0.37/0.60 (step @p190 :rule beta-reduce :args ((= (_ (lambda @t32 @t139) @t1) @t138))) % 0.37/0.60 (step @p191 :rule ho_cong :premises (@p190 @p158)) % 0.37/0.60 (step @p192 :rule trans :premises (@p191 @p189)) % 0.37/0.60 (step @p193 :rule ho_cong :premises (@p120 @p192)) % 0.37/0.60 (step @p194 :rule trans :premises (@p193 @p188)) % 0.37/0.60 (step @p195 :rule ho_cong :premises (@p194 @p113)) % 0.37/0.60 (step @p196 :rule trans :premises (@p195 @p164)) % 0.37/0.60 (step @p197 :rule beta-reduce :args ((= (_ @t142 @t11) @t139))) % 0.37/0.60 (step @p198 :rule beta-reduce :args ((= (_ (lambda @t143 (or @t140 @t26)) @t30) @t142))) % 0.37/0.60 (step @p199 :rule refl :args (@t30)) % 0.37/0.60 (step @p200 :rule refl :args (@t26)) % 0.37/0.60 (step @p201 :rule beta-reduce :args ((= @t145 @t140))) % 0.37/0.60 (step @p202 :rule nary_cong :premises (@p201 @p200) :args (@t146)) % 0.37/0.60 (step @p203 :rule cong :premises (@p202) :args (@t147)) % 0.37/0.60 (step @p204 :rule beta-reduce :args ((= (_ @t28 @t144) @t147))) % 0.37/0.60 (step @p205 :rule trans :premises (@p204 @p203)) % 0.37/0.60 (step @p206 :rule beta-reduce :args ((= (_ @t24 @t31) @t144))) % 0.37/0.60 (step @p207 :rule refl :args (@t28)) % 0.37/0.60 (step @p208 :rule ho_cong :premises (@p207 @p206)) % 0.37/0.60 (step @p209 :rule trans :premises (@p208 @p205)) % 0.37/0.60 (step @p210 :rule ho_cong :premises (@p209 @p199)) % 0.37/0.60 (step @p211 :rule trans :premises (@p210 @p198)) % 0.37/0.60 (step @p212 :rule ho_cong :premises (@p211 @p113)) % 0.37/0.60 (step @p213 :rule trans :premises (@p212 @p197)) % 0.37/0.60 (step @p214 :rule refl :args (@t31)) % 0.37/0.60 (step @p215 :rule ho_cong :premises (@p16 @p214)) % 0.37/0.60 (step @p216 :rule ho_cong :premises (@p17 @p215)) % 0.37/0.60 (step @p217 :rule ho_cong :premises (@p216 @p199)) % 0.37/0.60 (step @p218 :rule ho_cong :premises (@p217 @p113)) % 0.37/0.60 (step @p219 :rule trans :premises (@p218 @p213)) % 0.37/0.60 (step @p220 :rule cong :premises (@p219) :args (@t33)) % 0.37/0.60 (step @p221 :rule trans :premises (@p19 @p220)) % 0.37/0.60 (step @p222 :rule ho_cong :premises (@p221 @p111)) % 0.37/0.60 (step @p223 :rule ho_cong :premises (@p222 @p158)) % 0.37/0.60 (step @p224 :rule ho_cong :premises (@p144 @p223)) % 0.37/0.60 (step @p225 :rule ho_cong :premises (@p224 @p113)) % 0.37/0.60 (step @p226 :rule trans :premises (@p225 @p196)) % 0.37/0.60 (step @p227 :rule cong :premises (@p226) :args (@t68)) % 0.37/0.60 (step @p228 :rule trans :premises (@p32 @p227)) % 0.37/0.60 (step @p229 :rule ho_cong :premises (@p228 @p111)) % 0.37/0.60 (step @p230 :rule ho_cong :premises (@p229 @p158)) % 0.37/0.60 (step @p231 :rule ho_cong :premises (@p230 @p113)) % 0.37/0.60 (step @p232 :rule trans :premises (@p231 @p163)) % 0.37/0.60 (step @p233 :rule cong :premises (@p232) :args (@t77)) % 0.37/0.60 (step @p234 :rule trans :premises (@p40 @p233)) % 0.37/0.60 (step @p235 :rule ho_cong :premises (@p234 @p155)) % 0.37/0.60 (step @p236 :rule ho_cong :premises (@p235 @p155)) % 0.37/0.60 (step @p237 :rule ho_cong :premises (@p62 @p236)) % 0.37/0.60 (step @p238 :rule cong :premises (@p237) :args (@t15)) % 0.37/0.60 (step @p239 :rule cong :premises (@p238) :args (@t16)) % 0.37/0.60 (step @p240 :rule trans :premises (@p239 @p110)) % 0.37/0.60 (step @p241 :rule eq_resolve :premises (@p12 @p240)) % 0.37/0.60 (step @p242 false :rule eq_resolve :premises (@p241 @p69)) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------