%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO044^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 09:11:51 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO044^1 : TPTP v9.2.1. Released v4.0.0. % 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 : n026.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 23:52:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-sort tptp.mu 0) % 0.38/0.57 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.38/0.57 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.38/0.57 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.57 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.38/0.57 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.57 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.38/0.57 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.38/0.57 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.38/0.57 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.38/0.57 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.38/0.57 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.38/0.57 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.38/0.57 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.38/0.57 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.38/0.57 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.38/0.57 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.38/0.57 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.38/0.57 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.38/0.57 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.57 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.57 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.38/0.57 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.38/0.57 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.38/0.57 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.38/0.57 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.38/0.57 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.38/0.57 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.38/0.57 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.57 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.57 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.38/0.57 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.38/0.57 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.57 (define @t2 () (_ tptp.mbox @t1)) % 0.38/0.57 (define @t3 () (@list @t1)) % 0.38/0.57 (define @t4 () (forall @t3 (_ tptp.mvalid (_ @t2 tptp.mtrue)))) % 0.38/0.57 (define @t5 () (not @t4)) % 0.38/0.57 (define @t6 () (@var "Y" tptp.mu)) % 0.38/0.57 (define @t7 () (@var "X" tptp.mu)) % 0.38/0.57 (define @t8 () (@var "W" $$unsorted)) % 0.38/0.57 (define @t9 () (lambda (@list @t7 @t6 @t8) (= @t7 @t6))) % 0.38/0.57 (define @t10 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.57 (define @t11 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.57 (define @t12 () (lambda (@list @t11 @t10 @t8) (= (_ @t11 @t8) (_ @t10 @t8)))) % 0.38/0.57 (define @t13 () (@var "Phi" (-> $$unsorted Bool))) % 0.38/0.57 (define @t14 () (_ @t13 @t8)) % 0.38/0.57 (define @t15 () (not @t14)) % 0.38/0.57 (define @t16 () (@list @t13 @t8)) % 0.38/0.57 (define @t17 () (lambda @t16 @t15)) % 0.38/0.57 (define @t18 () (@var "Psi" (-> $$unsorted Bool))) % 0.38/0.57 (define @t19 () (lambda (@list @t13 @t18 @t8) (or @t14 (_ @t18 @t8)))) % 0.38/0.57 (define @t20 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.57 (define @t21 () (_ tptp.mnot @t18)) % 0.38/0.57 (define @t22 () (_ tptp.mnot @t13)) % 0.38/0.57 (define @t23 () (_ tptp.mor @t22)) % 0.38/0.57 (define @t24 () (@list @t13 @t18 @t20)) % 0.38/0.57 (define @t25 () (lambda @t24 (_ (_ tptp.mnot (_ @t23 @t21)) @t20))) % 0.38/0.57 (define @t26 () (lambda @t24 (_ (_ @t23 @t18) @t20))) % 0.38/0.57 (define @t27 () (lambda @t24 (_ (_ (_ tptp.mor @t21) @t13) @t20))) % 0.38/0.57 (define @t28 () (lambda @t24 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t13) @t18)) (_ (_ tptp.mimplies @t18) @t13)) @t20))) % 0.38/0.57 (define @t29 () (lambda @t24 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t13) @t18)) @t20))) % 0.38/0.57 (define @t30 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.38/0.57 (define @t31 () (_ @t30 @t7)) % 0.38/0.57 (define @t32 () (lambda (@list @t30 @t8) (forall (@list @t7) (_ @t31 @t8)))) % 0.38/0.57 (define @t33 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.57 (define @t34 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.38/0.57 (define @t35 () (_ @t34 @t33)) % 0.38/0.57 (define @t36 () (lambda (@list @t34 @t8) (forall (@list @t33) (_ @t35 @t8)))) % 0.38/0.57 (define @t37 () (lambda (@list @t30 @t20) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t7 @t20) (_ (_ tptp.mnot @t31) @t20)))) @t20))) % 0.38/0.57 (define @t38 () (lambda (@list @t34 @t20) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t33 @t20) (_ (_ tptp.mnot @t35) @t20)))) @t20))) % 0.38/0.57 (define @t39 () (@list @t8)) % 0.38/0.57 (define @t40 () (lambda @t39 true)) % 0.38/0.57 (define @t41 () (@var "V" $$unsorted)) % 0.38/0.57 (define @t42 () (_ @t13 @t41)) % 0.38/0.57 (define @t43 () (_ (_ @t1 @t8) @t41)) % 0.38/0.57 (define @t44 () (not @t43)) % 0.38/0.57 (define @t45 () (or @t44 @t42)) % 0.38/0.57 (define @t46 () (@list @t41)) % 0.38/0.57 (define @t47 () (forall @t46 @t45)) % 0.38/0.57 (define @t48 () (@list @t1 @t13 @t8)) % 0.38/0.57 (define @t49 () (lambda @t48 @t47)) % 0.38/0.57 (define @t50 () (lambda (@list @t1 @t13 @t20) (_ (_ tptp.mnot (_ @t2 @t22)) @t20))) % 0.38/0.57 (define @t51 () (@var "S" $$unsorted)) % 0.38/0.57 (define @t52 () (_ @t1 @t51)) % 0.38/0.57 (define @t53 () (@list @t51)) % 0.38/0.57 (define @t54 () (lambda @t3 (forall @t53 (_ @t52 @t51)))) % 0.38/0.57 (define @t55 () (@var "T" $$unsorted)) % 0.38/0.57 (define @t56 () (_ @t1 @t55)) % 0.38/0.57 (define @t57 () (_ @t52 @t55)) % 0.38/0.57 (define @t58 () (lambda @t3 (forall (@list @t51 @t55) (=> @t57 (_ @t56 @t51))))) % 0.38/0.57 (define @t59 () (@list @t55)) % 0.38/0.57 (define @t60 () (lambda @t3 (forall @t53 (exists @t59 @t57)))) % 0.38/0.57 (define @t61 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t62 () (_ @t52 @t61)) % 0.38/0.57 (define @t63 () (_ @t56 @t61)) % 0.38/0.57 (define @t64 () (@list @t51 @t55 @t61)) % 0.38/0.57 (define @t65 () (lambda @t3 (forall @t64 (=> (and @t57 @t63) @t62)))) % 0.38/0.57 (define @t66 () (and @t57 @t62)) % 0.38/0.57 (define @t67 () (lambda @t3 (forall @t64 (=> @t66 @t63)))) % 0.38/0.57 (define @t68 () (= @t55 @t61)) % 0.38/0.57 (define @t69 () (lambda @t3 (forall @t64 (=> @t66 @t68)))) % 0.38/0.57 (define @t70 () (@list @t61)) % 0.38/0.57 (define @t71 () (lambda @t3 (forall @t53 (exists @t59 (and @t57 (forall @t70 (=> @t62 @t68))))))) % 0.38/0.57 (define @t72 () (_ @t1 @t61)) % 0.38/0.57 (define @t73 () (_ @t72 @t55)) % 0.38/0.57 (define @t74 () (lambda @t3 (forall @t64 (=> @t57 (exists @t70 (and @t62 @t73)))))) % 0.38/0.57 (define @t75 () (lambda @t3 (forall @t64 (=> @t66 (or @t63 @t68 @t73))))) % 0.38/0.57 (define @t76 () (lambda @t3 (forall @t64 (=> @t66 (exists @t46 (and (_ @t56 @t41) (_ @t72 @t41))))))) % 0.38/0.57 (define @t77 () (forall @t39 @t14)) % 0.38/0.57 (define @t78 () (@list @t13)) % 0.38/0.57 (define @t79 () (lambda @t78 @t77)) % 0.38/0.57 (define @t80 () (lambda @t78 (forall @t39 @t15))) % 0.38/0.57 (define @t81 () (lambda @t78 (exists @t39 @t14))) % 0.38/0.57 (define @t82 () (lambda @t78 (exists @t39 @t15))) % 0.38/0.57 (define @t83 () (@var "BOUND_VARIABLE_8276" $$unsorted)) % 0.38/0.57 (define @t84 () (lambda (@list @t83) true)) % 0.38/0.57 (define @t85 () (_ @t84 @t8)) % 0.38/0.57 (define @t86 () (forall @t39 @t85)) % 0.38/0.57 (define @t87 () (_ @t13 @t8)) % 0.38/0.57 (define @t88 () (lambda @t78 (forall @t39 @t87))) % 0.38/0.57 (define @t89 () (_ @t1 @t8 @t41)) % 0.38/0.57 (define @t90 () (not @t89)) % 0.38/0.57 (define @t91 () (_ @t84 @t41)) % 0.38/0.57 (define @t92 () (or @t90 @t91)) % 0.38/0.57 (define @t93 () (forall @t46 @t92)) % 0.38/0.57 (define @t94 () (lambda @t39 @t93)) % 0.38/0.57 (define @t95 () (_ @t13 @t41)) % 0.38/0.57 (define @t96 () (forall @t46 (or @t90 @t95))) % 0.38/0.57 (define @t97 () (lambda @t16 @t96)) % 0.38/0.57 (define @t98 () (_ (lambda @t48 @t96) @t1)) % 0.38/0.57 (define @t99 () (forall @t3 (_ @t88 (_ @t98 @t40)))) % 0.38/0.57 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.38/0.57 (assume @p2 @t5) % 0.38/0.57 (assume @p3 true) % 0.38/0.57 (step @p4 (= tptp.meq_ind @t9) :rule refl :args (@t9)) % 0.38/0.57 (step @p5 (= tptp.meq_prop @t12) :rule refl :args (@t12)) % 0.38/0.57 (step @p6 (= tptp.mnot @t17) :rule refl :args (@t17)) % 0.38/0.57 (step @p7 (= tptp.mor @t19) :rule refl :args (@t19)) % 0.38/0.57 (step @p8 (= tptp.mand @t25) :rule refl :args (@t25)) % 0.38/0.57 (step @p9 (= tptp.mimplies @t26) :rule refl :args (@t26)) % 0.38/0.57 (step @p10 (= tptp.mimplied @t27) :rule refl :args (@t27)) % 0.38/0.57 (step @p11 (= tptp.mequiv @t28) :rule refl :args (@t28)) % 0.38/0.57 (step @p12 (= tptp.mxor @t29) :rule refl :args (@t29)) % 0.38/0.57 (step @p13 (= tptp.mforall_ind @t32) :rule refl :args (@t32)) % 0.38/0.57 (step @p14 (= tptp.mforall_prop @t36) :rule refl :args (@t36)) % 0.38/0.57 (step @p15 (= tptp.mexists_ind @t37) :rule refl :args (@t37)) % 0.38/0.57 (step @p16 (= tptp.mexists_prop @t38) :rule refl :args (@t38)) % 0.38/0.57 (step @p17 (= tptp.mtrue @t40) :rule refl :args (@t40)) % 0.38/0.57 (step @p18 (= tptp.mbox @t49) :rule refl :args (@t49)) % 0.38/0.57 (step @p19 (= tptp.mdia @t50) :rule refl :args (@t50)) % 0.38/0.57 (step @p20 (= tptp.mreflexive @t54) :rule refl :args (@t54)) % 0.38/0.57 (step @p21 (= tptp.msymmetric @t58) :rule refl :args (@t58)) % 0.38/0.57 (step @p22 (= tptp.mserial @t60) :rule refl :args (@t60)) % 0.38/0.57 (step @p23 (= tptp.mtransitive @t65) :rule refl :args (@t65)) % 0.38/0.57 (step @p24 (= tptp.meuclidean @t67) :rule refl :args (@t67)) % 0.38/0.57 (step @p25 (= tptp.mpartially_functional @t69) :rule refl :args (@t69)) % 0.38/0.57 (step @p26 (= tptp.mfunctional @t71) :rule refl :args (@t71)) % 0.38/0.57 (step @p27 (= tptp.mweakly_dense @t74) :rule refl :args (@t74)) % 0.38/0.57 (step @p28 (= tptp.mweakly_connected @t75) :rule refl :args (@t75)) % 0.38/0.57 (step @p29 (= tptp.mweakly_directed @t76) :rule refl :args (@t76)) % 0.38/0.57 (step @p30 (= tptp.mvalid @t79) :rule refl :args (@t79)) % 0.38/0.57 (step @p31 (= tptp.minvalid @t80) :rule refl :args (@t80)) % 0.38/0.57 (step @p32 (= tptp.msatisfiable @t81) :rule refl :args (@t81)) % 0.38/0.57 (step @p33 (= tptp.mcountersatisfiable @t82) :rule refl :args (@t82)) % 0.38/0.57 (step @p34 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p35 :rule quant-unused-vars :args ((= (forall @t3 true) true))) % 0.38/0.57 (step @p36 :rule quant-unused-vars :args ((= (forall @t39 true) true))) % 0.38/0.57 (step @p37 :rule beta-reduce :args ((= @t85 true))) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t86)) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p36)) % 0.38/0.57 (step @p40 :rule beta-reduce :args ((= (_ @t88 @t84) @t86))) % 0.38/0.57 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.57 (step @p42 :rule refl :args (@t84)) % 0.38/0.57 (step @p43 :rule symm :premises (@p42)) % 0.38/0.57 (step @p44 :rule alpha_equiv :args (@t40 (@list @t8) (@list @t83))) % 0.38/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.57 (step @p46 :rule quant-unused-vars :args ((= (forall @t46 true) true))) % 0.38/0.57 (step @p47 :rule absorb :args ((= (or @t90 true) true))) % 0.38/0.57 (step @p48 :rule beta-reduce :args ((= @t91 true))) % 0.38/0.57 (step @p49 :rule refl :args (@t90)) % 0.38/0.57 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t92)) % 0.38/0.58 (step @p51 :rule trans :premises (@p50 @p47)) % 0.38/0.58 (step @p52 :rule cong :premises (@p51) :args (@t93)) % 0.38/0.58 (step @p53 :rule trans :premises (@p52 @p46)) % 0.38/0.58 (step @p54 :rule cong :premises (@p53) :args (@t94)) % 0.38/0.58 (step @p55 :rule trans :premises (@p54 @p45)) % 0.38/0.58 (step @p56 :rule beta-reduce :args ((= (_ @t97 @t84) @t94))) % 0.38/0.58 (step @p57 :rule trans :premises (@p56 @p55)) % 0.38/0.58 (step @p58 :rule beta-reduce :args ((= @t98 @t97))) % 0.38/0.58 (step @p59 :rule ho_cong :premises (@p58 @p45)) % 0.38/0.58 (step @p60 :rule trans :premises (@p59 @p57)) % 0.38/0.58 (step @p61 :rule refl :args (@t88)) % 0.38/0.58 (step @p62 :rule ho_cong :premises (@p61 @p60)) % 0.38/0.58 (step @p63 :rule trans :premises (@p62 @p41)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63) :args (@t99)) % 0.38/0.58 (step @p65 :rule trans :premises (@p64 @p35)) % 0.38/0.58 (step @p66 :rule cong :premises (@p65) :args ((not @t99))) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p34)) % 0.38/0.58 (step @p68 :rule refl :args (@t1)) % 0.38/0.58 (step @p69 :rule refl :args (@t95)) % 0.38/0.58 (step @p70 :rule refl :args (@t42)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t42 @t95))) % 0.38/0.58 (step @p72 :rule symm :premises (@p71)) % 0.38/0.58 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.38/0.58 (step @p74 :rule refl :args (@t89)) % 0.38/0.58 (step @p75 :rule refl :args (@t43)) % 0.38/0.58 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t43 @t89))) % 0.38/0.58 (step @p77 :rule symm :premises (@p76)) % 0.38/0.58 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 0.38/0.58 (step @p79 :rule cong :premises (@p78) :args (@t44)) % 0.38/0.58 (step @p80 :rule nary_cong :premises (@p79 @p73) :args (@t45)) % 0.38/0.58 (step @p81 :rule cong :premises (@p80) :args (@t47)) % 0.38/0.58 (step @p82 :rule cong :premises (@p81) :args (@t49)) % 0.38/0.58 (step @p83 :rule trans :premises (@p18 @p82)) % 0.38/0.58 (step @p84 :rule ho_cong :premises (@p83 @p68)) % 0.38/0.58 (step @p85 :rule ho_cong :premises (@p84 @p17)) % 0.38/0.58 (step @p86 :rule refl :args (@t87)) % 0.38/0.58 (step @p87 :rule refl :args (@t14)) % 0.38/0.58 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t14 @t87))) % 0.38/0.58 (step @p89 :rule symm :premises (@p88)) % 0.38/0.58 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.38/0.58 (step @p91 :rule cong :premises (@p90) :args (@t77)) % 0.38/0.58 (step @p92 :rule cong :premises (@p91) :args (@t79)) % 0.38/0.58 (step @p93 :rule trans :premises (@p30 @p92)) % 0.38/0.58 (step @p94 :rule ho_cong :premises (@p93 @p85)) % 0.38/0.58 (step @p95 :rule cong :premises (@p94) :args (@t4)) % 0.38/0.58 (step @p96 :rule cong :premises (@p95) :args (@t5)) % 0.38/0.58 (step @p97 :rule trans :premises (@p96 @p67)) % 0.38/0.58 (step @p98 false :rule eq_resolve :premises (@p2 @p97)) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------