%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO052^2 : 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 : n003.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 09:11:53 AM UTC 2026 % Result : Theorem 0.37s 0.68s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO052^2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n003.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:52:44 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.52 %----Proving TH0 % 0.37/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.68 % SZS status Theorem % 0.37/0.68 % SZS output start Proof % 0.37/0.68 ( % 0.37/0.68 (declare-sort $$unsorted 0) % 0.37/0.68 (declare-sort tptp.mu 0) % 0.37/0.68 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.68 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.68 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.37/0.68 (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)))))) % 0.37/0.68 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.68 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.68 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.68 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.68 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.37/0.68 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.68 (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))))))) % 0.37/0.68 (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))))))) % 0.37/0.68 (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)))))) % 0.37/0.68 (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)))))) % 0.37/0.68 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.68 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.37/0.68 (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)))))) % 0.37/0.68 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.68 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.68 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.68 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.68 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.68 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.68 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.37/0.68 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.37/0.68 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.37/0.68 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.37/0.68 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.68 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.68 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.68 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.68 (define @t1 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.68 (define @t2 () (@var "B" (-> $$unsorted Bool))) % 0.37/0.68 (define @t3 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.68 (define @t4 () (@var "A" (-> $$unsorted Bool))) % 0.37/0.68 (define @t5 () (_ tptp.mbox @t3)) % 0.37/0.68 (define @t6 () (@list @t2 @t1)) % 0.37/0.68 (define @t7 () (lambda @t6 (_ (_ (_ tptp.mimplies (_ @t5 (_ (_ tptp.mimplies @t4) @t2))) (_ (_ tptp.mimplies (_ @t5 @t4)) (_ (_ tptp.mdia @t3) @t2))) @t1))) % 0.37/0.68 (define @t8 () (@list @t4 @t1)) % 0.37/0.68 (define @t9 () (lambda @t8 (_ (_ tptp.mforall_prop @t7) @t1))) % 0.37/0.68 (define @t10 () (not (_ tptp.mvalid (_ tptp.mforall_prop @t9)))) % 0.37/0.68 (define @t11 () (@list @t3)) % 0.37/0.68 (define @t12 () (exists @t11 @t10)) % 0.37/0.68 (define @t13 () (not @t12)) % 0.37/0.68 (define @t14 () (@var "Y" tptp.mu)) % 0.37/0.68 (define @t15 () (@var "X" tptp.mu)) % 0.37/0.68 (define @t16 () (@var "W" $$unsorted)) % 0.37/0.68 (define @t17 () (lambda (@list @t15 @t14 @t16) (= @t15 @t14))) % 0.37/0.68 (define @t18 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.68 (define @t19 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.68 (define @t20 () (lambda (@list @t19 @t18 @t16) (= (_ @t19 @t16) (_ @t18 @t16)))) % 0.37/0.68 (define @t21 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.68 (define @t22 () (_ @t21 @t16)) % 0.37/0.68 (define @t23 () (not @t22)) % 0.37/0.68 (define @t24 () (@list @t21 @t16)) % 0.37/0.68 (define @t25 () (lambda @t24 @t23)) % 0.37/0.68 (define @t26 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.68 (define @t27 () (_ @t26 @t16)) % 0.37/0.68 (define @t28 () (lambda (@list @t21 @t26 @t16) (or @t22 @t27))) % 0.37/0.68 (define @t29 () (_ tptp.mnot @t26)) % 0.37/0.68 (define @t30 () (_ tptp.mnot @t21)) % 0.37/0.68 (define @t31 () (_ tptp.mor @t30)) % 0.37/0.68 (define @t32 () (@list @t21 @t26 @t1)) % 0.37/0.68 (define @t33 () (lambda @t32 (_ (_ tptp.mnot (_ @t31 @t29)) @t1))) % 0.37/0.68 (define @t34 () (lambda @t32 (_ (_ @t31 @t26) @t1))) % 0.37/0.68 (define @t35 () (lambda @t32 (_ (_ (_ tptp.mor @t29) @t21) @t1))) % 0.37/0.68 (define @t36 () (lambda @t32 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t21) @t26)) (_ (_ tptp.mimplies @t26) @t21)) @t1))) % 0.37/0.68 (define @t37 () (lambda @t32 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t21) @t26)) @t1))) % 0.37/0.68 (define @t38 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.68 (define @t39 () (_ @t38 @t15)) % 0.37/0.68 (define @t40 () (lambda (@list @t38 @t16) (forall (@list @t15) (_ @t39 @t16)))) % 0.37/0.68 (define @t41 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.68 (define @t42 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.68 (define @t43 () (_ @t42 @t41)) % 0.37/0.68 (define @t44 () (_ @t43 @t16)) % 0.37/0.68 (define @t45 () (@list @t41)) % 0.37/0.68 (define @t46 () (forall @t45 @t44)) % 0.37/0.68 (define @t47 () (@list @t42 @t16)) % 0.37/0.68 (define @t48 () (lambda @t47 @t46)) % 0.37/0.68 (define @t49 () (lambda (@list @t38 @t1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t15 @t1) (_ (_ tptp.mnot @t39) @t1)))) @t1))) % 0.37/0.68 (define @t50 () (lambda (@list @t42 @t1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t41 @t1) (_ (_ tptp.mnot @t43) @t1)))) @t1))) % 0.37/0.68 (define @t51 () (@list @t16)) % 0.37/0.68 (define @t52 () (lambda @t51 true)) % 0.37/0.68 (define @t53 () (@var "V" $$unsorted)) % 0.37/0.68 (define @t54 () (_ @t21 @t53)) % 0.37/0.68 (define @t55 () (_ (_ @t3 @t16) @t53)) % 0.37/0.68 (define @t56 () (not @t55)) % 0.37/0.68 (define @t57 () (or @t56 @t54)) % 0.37/0.68 (define @t58 () (@list @t53)) % 0.37/0.68 (define @t59 () (forall @t58 @t57)) % 0.37/0.68 (define @t60 () (@list @t3 @t21 @t16)) % 0.37/0.68 (define @t61 () (lambda @t60 @t59)) % 0.37/0.68 (define @t62 () (@list @t3 @t21 @t1)) % 0.37/0.68 (define @t63 () (lambda @t62 (_ (_ tptp.mnot (_ @t5 @t30)) @t1))) % 0.37/0.68 (define @t64 () (@var "S" $$unsorted)) % 0.37/0.68 (define @t65 () (_ @t3 @t64)) % 0.37/0.68 (define @t66 () (@list @t64)) % 0.37/0.68 (define @t67 () (lambda @t11 (forall @t66 (_ @t65 @t64)))) % 0.37/0.68 (define @t68 () (@var "T" $$unsorted)) % 0.37/0.68 (define @t69 () (_ @t3 @t68)) % 0.37/0.68 (define @t70 () (_ @t65 @t68)) % 0.37/0.68 (define @t71 () (lambda @t11 (forall (@list @t64 @t68) (=> @t70 (_ @t69 @t64))))) % 0.37/0.68 (define @t72 () (@list @t68)) % 0.37/0.68 (define @t73 () (lambda @t11 (forall @t66 (exists @t72 @t70)))) % 0.37/0.68 (define @t74 () (@var "U" $$unsorted)) % 0.37/0.68 (define @t75 () (_ @t65 @t74)) % 0.37/0.68 (define @t76 () (_ @t69 @t74)) % 0.37/0.68 (define @t77 () (@list @t64 @t68 @t74)) % 0.37/0.68 (define @t78 () (lambda @t11 (forall @t77 (=> (and @t70 @t76) @t75)))) % 0.37/0.68 (define @t79 () (and @t70 @t75)) % 0.37/0.68 (define @t80 () (lambda @t11 (forall @t77 (=> @t79 @t76)))) % 0.37/0.68 (define @t81 () (= @t68 @t74)) % 0.37/0.68 (define @t82 () (lambda @t11 (forall @t77 (=> @t79 @t81)))) % 0.37/0.68 (define @t83 () (@list @t74)) % 0.37/0.68 (define @t84 () (lambda @t11 (forall @t66 (exists @t72 (and @t70 (forall @t83 (=> @t75 @t81))))))) % 0.37/0.68 (define @t85 () (_ @t3 @t74)) % 0.37/0.68 (define @t86 () (_ @t85 @t68)) % 0.37/0.68 (define @t87 () (lambda @t11 (forall @t77 (=> @t70 (exists @t83 (and @t75 @t86)))))) % 0.37/0.68 (define @t88 () (lambda @t11 (forall @t77 (=> @t79 (or @t76 @t81 @t86))))) % 0.37/0.68 (define @t89 () (lambda @t11 (forall @t77 (=> @t79 (exists @t58 (and (_ @t69 @t53) (_ @t85 @t53))))))) % 0.37/0.68 (define @t90 () (forall @t51 @t22)) % 0.37/0.68 (define @t91 () (@list @t21)) % 0.37/0.68 (define @t92 () (lambda @t91 @t90)) % 0.37/0.68 (define @t93 () (lambda @t91 (forall @t51 @t23))) % 0.37/0.68 (define @t94 () (lambda @t91 (exists @t51 @t22))) % 0.37/0.68 (define @t95 () (lambda @t91 (exists @t51 @t23))) % 0.37/0.68 (define @t96 () (@var "BOUND_VARIABLE_8502" (-> $$unsorted Bool))) % 0.37/0.68 (define @t97 () (_ @t96 @t53)) % 0.37/0.68 (define @t98 () (_ @t3 @t16 @t53)) % 0.37/0.68 (define @t99 () (not @t98)) % 0.37/0.68 (define @t100 () (not (forall @t58 (or @t99 (not @t97))))) % 0.37/0.68 (define @t101 () (_ @t41 @t53)) % 0.37/0.68 (define @t102 () (not @t101)) % 0.37/0.68 (define @t103 () (not (forall @t58 (or @t99 @t102 @t97)))) % 0.37/0.68 (define @t104 () (not (forall @t58 (or @t99 @t101)))) % 0.37/0.68 (define @t105 () (or @t104 @t103 @t100)) % 0.37/0.68 (define @t106 () (forall (@list @t3 @t16 @t41 @t96) @t105)) % 0.37/0.68 (define @t107 () (forall (@list @t16 @t41 @t96) @t105)) % 0.37/0.68 (define @t108 () (not @t107)) % 0.37/0.68 (define @t109 () (forall @t11 (not @t108))) % 0.37/0.68 (define @t110 () (not @t109)) % 0.37/0.68 (define @t111 () (@list @t41 @t96)) % 0.37/0.68 (define @t112 () (forall @t111 @t105)) % 0.37/0.68 (define @t113 () (lambda @t51 @t112)) % 0.37/0.68 (define @t114 () (_ @t113 @t16)) % 0.37/0.68 (define @t115 () (forall @t51 @t114)) % 0.37/0.69 (define @t116 () (_ @t21 @t16)) % 0.37/0.69 (define @t117 () (lambda @t91 (forall @t51 @t116))) % 0.37/0.69 (define @t118 () (or @t103 @t100)) % 0.37/0.69 (define @t119 () (or @t104 @t118)) % 0.37/0.69 (define @t120 () (forall @t111 @t119)) % 0.37/0.69 (define @t121 () (@list @t96)) % 0.37/0.69 (define @t122 () (forall @t121 @t119)) % 0.37/0.69 (define @t123 () (forall @t121 @t118)) % 0.37/0.69 (define @t124 () (@var "BOUND_VARIABLE_8473" (-> $$unsorted Bool))) % 0.37/0.69 (define @t125 () (@list @t124)) % 0.37/0.69 (define @t126 () (or @t104 @t123)) % 0.37/0.69 (define @t127 () (_ @t124 @t53)) % 0.37/0.69 (define @t128 () (not @t127)) % 0.37/0.69 (define @t129 () (@list @t124)) % 0.37/0.69 (define @t130 () (or @t104 (forall @t129 (or (not (forall @t58 (or @t99 @t102 @t127))) (not (forall @t58 (or @t99 @t128))))))) % 0.37/0.69 (define @t131 () (not (_ @t3 @t1 @t53))) % 0.37/0.69 (define @t132 () (_ @t4 @t53)) % 0.37/0.69 (define @t133 () (not @t132)) % 0.37/0.69 (define @t134 () (forall @t58 (or @t131 @t132))) % 0.37/0.69 (define @t135 () (not @t134)) % 0.37/0.69 (define @t136 () (forall @t45 (or (not (forall @t58 (or @t131 @t133 @t101))) (not (forall @t58 (or @t131 @t102)))))) % 0.37/0.69 (define @t137 () (or @t135 @t136)) % 0.37/0.69 (define @t138 () (lambda @t8 @t137)) % 0.37/0.69 (define @t139 () (forall @t45 (_ @t138 @t41 @t16))) % 0.37/0.69 (define @t140 () (lambda @t51 @t139)) % 0.37/0.69 (define @t141 () (_ @t42 @t41 @t16)) % 0.37/0.69 (define @t142 () (lambda @t47 (forall @t45 @t141))) % 0.37/0.69 (define @t143 () (not (forall @t58 (or @t99 @t102)))) % 0.37/0.69 (define @t144 () (not (forall @t58 (or @t99 @t133 @t101)))) % 0.37/0.69 (define @t145 () (or @t144 @t143)) % 0.37/0.69 (define @t146 () (forall @t58 (or @t99 @t132))) % 0.37/0.69 (define @t147 () (not @t146)) % 0.37/0.69 (define @t148 () (or @t147 (forall @t45 @t145))) % 0.37/0.69 (define @t149 () (or @t147 @t145)) % 0.37/0.69 (define @t150 () (or @t144 @t147 @t143)) % 0.37/0.69 (define @t151 () (_ @t2 @t53)) % 0.37/0.69 (define @t152 () (not (forall @t58 (or @t131 (not @t151))))) % 0.37/0.69 (define @t153 () (forall @t58 (or @t131 @t133 @t151))) % 0.37/0.69 (define @t154 () (not @t153)) % 0.37/0.69 (define @t155 () (or @t154 @t135 @t152)) % 0.37/0.69 (define @t156 () (lambda @t6 @t155)) % 0.37/0.69 (define @t157 () (_ @t156 @t41 @t16)) % 0.37/0.69 (define @t158 () (forall @t45 @t157)) % 0.37/0.69 (define @t159 () (lambda @t51 @t158)) % 0.37/0.69 (define @t160 () (@list @t1)) % 0.37/0.69 (define @t161 () (or @t135 @t152)) % 0.37/0.69 (define @t162 () (lambda @t160 @t161)) % 0.37/0.69 (define @t163 () (_ @t162 @t1)) % 0.37/0.69 (define @t164 () (or @t154 @t163)) % 0.37/0.69 (define @t165 () (lambda @t160 @t164)) % 0.37/0.69 (define @t166 () (_ @t26 @t1)) % 0.37/0.69 (define @t167 () (@list @t26 @t1)) % 0.37/0.69 (define @t168 () (lambda @t160 @t152)) % 0.37/0.69 (define @t169 () (_ @t168 @t1)) % 0.37/0.69 (define @t170 () (or @t135 @t169)) % 0.37/0.69 (define @t171 () (lambda @t160 @t170)) % 0.37/0.69 (define @t172 () (_ @t21 @t53)) % 0.37/0.69 (define @t173 () (not @t172)) % 0.37/0.69 (define @t174 () (not (forall @t58 (or @t131 @t173)))) % 0.37/0.69 (define @t175 () (lambda (@list @t21 @t1) @t174)) % 0.37/0.69 (define @t176 () (_ (lambda @t62 @t174) @t3)) % 0.37/0.69 (define @t177 () (lambda @t51 @t146)) % 0.37/0.69 (define @t178 () (_ @t177 @t1)) % 0.37/0.69 (define @t179 () (not @t178)) % 0.37/0.69 (define @t180 () (or @t179 @t166)) % 0.37/0.69 (define @t181 () (lambda @t167 @t180)) % 0.37/0.69 (define @t182 () (or (not (_ @t21 @t1)) @t166)) % 0.37/0.69 (define @t183 () (lambda @t32 @t182)) % 0.37/0.69 (define @t184 () (forall @t58 (or @t99 @t172))) % 0.37/0.69 (define @t185 () (lambda @t24 @t184)) % 0.37/0.69 (define @t186 () (_ (lambda @t60 @t184) @t3)) % 0.37/0.69 (define @t187 () (lambda @t51 (forall @t58 (or @t99 @t133 @t151)))) % 0.37/0.69 (define @t188 () (_ @t187 @t1)) % 0.37/0.69 (define @t189 () (not @t188)) % 0.37/0.69 (define @t190 () (or @t189 @t166)) % 0.37/0.69 (define @t191 () (lambda @t167 @t190)) % 0.37/0.69 (define @t192 () (_ @t2 @t53)) % 0.37/0.69 (define @t193 () (_ @t4 @t53)) % 0.37/0.69 (define @t194 () (not @t193)) % 0.37/0.69 (define @t195 () (or @t99 @t194 @t192)) % 0.37/0.69 (define @t196 () (or @t194 @t192)) % 0.37/0.69 (define @t197 () (not (_ @t4 @t1))) % 0.37/0.69 (define @t198 () (lambda @t160 (or @t197 (_ @t2 @t1)))) % 0.37/0.69 (define @t199 () (_ @t198 @t53)) % 0.37/0.69 (define @t200 () (or @t99 @t199)) % 0.37/0.69 (define @t201 () (forall @t58 @t200)) % 0.37/0.69 (define @t202 () (lambda @t51 @t201)) % 0.37/0.69 (define @t203 () (lambda @t167 (or @t197 @t166))) % 0.37/0.69 (define @t204 () (_ @t183 @t4)) % 0.37/0.69 (define @t205 () (lambda @t6 (_ (_ (_ @t183 (_ @t186 (_ @t204 @t2))) (_ (_ @t183 (_ @t186 @t4)) (_ @t176 @t2))) @t1))) % 0.37/0.69 (define @t206 () (lambda @t8 (_ (_ @t142 @t205) @t1))) % 0.37/0.69 (define @t207 () (not (_ @t117 (_ @t142 @t206)))) % 0.37/0.69 (define @t208 () (exists @t11 @t207)) % 0.37/0.69 (define @t209 () (forall @t58 (or @t99 @t173))) % 0.37/0.69 (define @t210 () (lambda @t51 @t209)) % 0.37/0.69 (define @t211 () (_ @t210 @t16)) % 0.37/0.69 (define @t212 () (not @t211)) % 0.37/0.69 (define @t213 () (lambda @t51 @t212)) % 0.37/0.69 (define @t214 () (not @t54)) % 0.37/0.69 (define @t215 () (or @t99 @t214)) % 0.37/0.69 (define @t216 () (lambda @t51 @t23)) % 0.37/0.69 (define @t217 () (_ @t216 @t53)) % 0.37/0.69 (define @t218 () (or @t99 @t217)) % 0.37/0.69 (define @t219 () (forall @t58 @t218)) % 0.37/0.69 (define @t220 () (lambda @t51 @t219)) % 0.37/0.69 (define @t221 () (or @t23 @t27)) % 0.37/0.69 (define @t222 () (lambda @t51 @t221)) % 0.37/0.69 (define @t223 () (@list @t26 @t16)) % 0.37/0.69 (define @t224 () (_ @t216 @t16)) % 0.37/0.69 (define @t225 () (or @t224 @t27)) % 0.37/0.69 (define @t226 () (lambda @t223 @t225)) % 0.37/0.69 (define @t227 () (lambda (@list (@var "BOUND_VARIABLE_15976" $$unsorted)) true)) % 0.37/0.69 (define @t228 () (_ @t227 @t53)) % 0.37/0.69 (define @t229 () (not @t228)) % 0.37/0.69 (define @t230 () (@purify (as @$$unsorted_0 $$unsorted))) % 0.37/0.69 (define @t231 () (lambda (@list (@var "BOUND_VARIABLE_15693" $$unsorted) (@var "BOUND_VARIABLE_15694" $$unsorted)) false)) % 0.37/0.69 (define @t232 () (_ @t231 @t230 @t53)) % 0.37/0.69 (define @t233 () (not @t232)) % 0.37/0.69 (define @t234 () (or @t233 @t229)) % 0.37/0.69 (define @t235 () (forall @t58 @t234)) % 0.37/0.69 (define @t236 () (not @t235)) % 0.37/0.69 (define @t237 () (lambda (@list (@var "BOUND_VARIABLE_15846" $$unsorted)) true)) % 0.37/0.69 (define @t238 () (_ @t237 @t53)) % 0.37/0.69 (define @t239 () (not @t238)) % 0.37/0.69 (define @t240 () (or @t233 @t239 @t228)) % 0.37/0.69 (define @t241 () (forall @t58 @t240)) % 0.37/0.69 (define @t242 () (not @t241)) % 0.37/0.69 (define @t243 () (or @t233 @t238)) % 0.37/0.69 (define @t244 () (forall @t58 @t243)) % 0.37/0.69 (define @t245 () (not @t244)) % 0.37/0.69 (define @t246 () (or @t245 @t242 @t236)) % 0.37/0.69 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.69 (assume @p2 @t13) % 0.37/0.69 (assume @p3 true) % 0.37/0.69 (step @p4 (= tptp.meq_ind @t17) :rule refl :args (@t17)) % 0.37/0.69 (step @p5 (= tptp.meq_prop @t20) :rule refl :args (@t20)) % 0.37/0.69 (step @p6 (= tptp.mnot @t25) :rule refl :args (@t25)) % 0.37/0.69 (step @p7 (= tptp.mor @t28) :rule refl :args (@t28)) % 0.37/0.69 (step @p8 (= tptp.mand @t33) :rule refl :args (@t33)) % 0.37/0.69 (step @p9 (= tptp.mimplies @t34) :rule refl :args (@t34)) % 0.37/0.69 (step @p10 (= tptp.mimplied @t35) :rule refl :args (@t35)) % 0.37/0.69 (step @p11 (= tptp.mequiv @t36) :rule refl :args (@t36)) % 0.37/0.69 (step @p12 (= tptp.mxor @t37) :rule refl :args (@t37)) % 0.37/0.69 (step @p13 (= tptp.mforall_ind @t40) :rule refl :args (@t40)) % 0.37/0.69 (step @p14 (= tptp.mforall_prop @t48) :rule refl :args (@t48)) % 0.37/0.69 (step @p15 (= tptp.mexists_ind @t49) :rule refl :args (@t49)) % 0.37/0.69 (step @p16 (= tptp.mexists_prop @t50) :rule refl :args (@t50)) % 0.37/0.69 (step @p17 (= tptp.mtrue @t52) :rule refl :args (@t52)) % 0.37/0.69 (step @p18 (= tptp.mbox @t61) :rule refl :args (@t61)) % 0.37/0.69 (step @p19 (= tptp.mdia @t63) :rule refl :args (@t63)) % 0.37/0.69 (step @p20 (= tptp.mreflexive @t67) :rule refl :args (@t67)) % 0.37/0.69 (step @p21 (= tptp.msymmetric @t71) :rule refl :args (@t71)) % 0.37/0.69 (step @p22 (= tptp.mserial @t73) :rule refl :args (@t73)) % 0.37/0.69 (step @p23 (= tptp.mtransitive @t78) :rule refl :args (@t78)) % 0.37/0.69 (step @p24 (= tptp.meuclidean @t80) :rule refl :args (@t80)) % 0.37/0.69 (step @p25 (= tptp.mpartially_functional @t82) :rule refl :args (@t82)) % 0.37/0.69 (step @p26 (= tptp.mfunctional @t84) :rule refl :args (@t84)) % 0.37/0.69 (step @p27 (= tptp.mweakly_dense @t87) :rule refl :args (@t87)) % 0.37/0.69 (step @p28 (= tptp.mweakly_connected @t88) :rule refl :args (@t88)) % 0.37/0.69 (step @p29 (= tptp.mweakly_directed @t89) :rule refl :args (@t89)) % 0.37/0.69 (step @p30 (= tptp.mvalid @t92) :rule refl :args (@t92)) % 0.37/0.69 (step @p31 (= tptp.minvalid @t93) :rule refl :args (@t93)) % 0.37/0.69 (step @p32 (= tptp.msatisfiable @t94) :rule refl :args (@t94)) % 0.37/0.69 (step @p33 (= tptp.mcountersatisfiable @t95) :rule refl :args (@t95)) % 0.37/0.69 (step @p34 :rule bool-double-not-elim :args (@t106)) % 0.37/0.69 (step @p35 :rule quant-merge-prenex :args ((= (forall @t11 @t107) @t106))) % 0.37/0.69 (step @p36 :rule bool-double-not-elim :args (@t107)) % 0.37/0.69 (step @p37 :rule cong :premises (@p36) :args (@t109)) % 0.37/0.69 (step @p38 :rule trans :premises (@p37 @p35)) % 0.37/0.69 (step @p39 :rule cong :premises (@p38) :args (@t110)) % 0.37/0.69 (step @p40 :rule exists-elim :args ((= (exists @t11 @t108) @t110))) % 0.37/0.69 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.69 (step @p42 :rule quant-merge-prenex :args ((= (forall @t51 @t112) @t107))) % 0.37/0.69 (step @p43 :rule beta-reduce :args ((= @t114 @t112))) % 0.37/0.69 (step @p44 :rule cong :premises (@p43) :args (@t115)) % 0.37/0.69 (step @p45 :rule trans :premises (@p44 @p42)) % 0.37/0.69 (step @p46 :rule beta-reduce :args ((= (_ @t117 @t113) @t115))) % 0.37/0.69 (step @p47 :rule trans :premises (@p46 @p45)) % 0.37/0.69 (step @p48 :rule aci_norm :args ((= @t119 @t105))) % 0.37/0.69 (step @p49 :rule cong :premises (@p48) :args (@t120)) % 0.37/0.69 (step @p50 :rule quant-merge-prenex :args ((= (forall @t45 @t122) @t120))) % 0.37/0.69 (step @p51 :rule alpha_equiv :args (@t123 (@list @t96) @t125)) % 0.37/0.69 (step @p52 :rule refl :args (@t104)) % 0.37/0.69 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t126)) % 0.37/0.69 (step @p54 :rule quant-miniscope-or :args ((= @t122 @t126))) % 0.37/0.69 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.69 (step @p56 :rule symm :premises (@p55)) % 0.37/0.69 (step @p57 :rule cong :premises (@p56) :args ((forall @t45 @t130))) % 0.37/0.69 (step @p58 :rule trans :premises (@p57 @p50)) % 0.37/0.69 (step @p59 :rule trans :premises (@p58 @p49)) % 0.37/0.69 (step @p60 :rule beta-reduce :args ((= (_ (lambda @t8 (or @t135 (forall @t129 (or (not (forall @t58 (or @t131 @t133 @t127))) (not (forall @t58 (or @t131 @t128))))))) @t41 @t16) @t130))) % 0.37/0.69 (step @p61 :rule refl :args (@t16)) % 0.37/0.69 (step @p62 :rule refl :args (@t41)) % 0.37/0.69 (step @p63 :rule alpha_equiv :args (@t136 (@list @t41) @t125)) % 0.37/0.69 (step @p64 :rule refl :args (@t135)) % 0.37/0.69 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t137)) % 0.37/0.69 (step @p66 :rule cong :premises (@p65) :args (@t138)) % 0.37/0.69 (step @p67 :rule ho_cong :premises (@p66 @p62 @p61)) % 0.37/0.69 (step @p68 :rule trans :premises (@p67 @p60)) % 0.37/0.69 (step @p69 :rule cong :premises (@p68) :args (@t139)) % 0.37/0.69 (step @p70 :rule trans :premises (@p69 @p59)) % 0.37/0.69 (step @p71 :rule cong :premises (@p70) :args (@t140)) % 0.37/0.69 (step @p72 :rule beta-reduce :args ((= (_ @t142 @t138) @t140))) % 0.37/0.69 (step @p73 :rule trans :premises (@p72 @p71)) % 0.37/0.69 (step @p74 :rule beta-reduce :args ((= (_ (lambda @t51 @t148) @t1) @t137))) % 0.37/0.69 (step @p75 :rule refl :args (@t1)) % 0.37/0.69 (step @p76 :rule quant-miniscope-or :args ((= (forall @t45 @t149) @t148))) % 0.37/0.69 (step @p77 :rule aci_norm :args ((= @t150 @t149))) % 0.37/0.69 (step @p78 :rule cong :premises (@p77) :args ((forall @t45 @t150))) % 0.37/0.69 (step @p79 :rule trans :premises (@p78 @p76)) % 0.37/0.69 (step @p80 :rule beta-reduce :args ((= @t157 @t150))) % 0.37/0.69 (step @p81 :rule cong :premises (@p80) :args (@t158)) % 0.37/0.69 (step @p82 :rule trans :premises (@p81 @p79)) % 0.37/0.69 (step @p83 :rule cong :premises (@p82) :args (@t159)) % 0.37/0.69 (step @p84 :rule beta-reduce :args ((= (_ @t142 @t156) @t159))) % 0.37/0.69 (step @p85 :rule trans :premises (@p84 @p83)) % 0.37/0.69 (step @p86 :rule beta-reduce :args ((= (_ (lambda @t160 @t155) @t1) @t155))) % 0.37/0.69 (step @p87 :rule aci_norm :args ((= (or @t154 @t161) @t155))) % 0.37/0.69 (step @p88 :rule beta-reduce :args ((= @t163 @t161))) % 0.37/0.69 (step @p89 :rule refl :args (@t154)) % 0.37/0.69 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t164)) % 0.37/0.69 (step @p91 :rule trans :premises (@p90 @p87)) % 0.37/0.69 (step @p92 :rule cong :premises (@p91) :args (@t165)) % 0.37/0.69 (step @p93 :rule beta-reduce :args ((= (_ (lambda @t167 (or @t154 @t166)) @t162) @t165))) % 0.37/0.69 (step @p94 :rule trans :premises (@p93 @p92)) % 0.37/0.69 (step @p95 :rule beta-reduce :args ((= @t169 @t152))) % 0.37/0.69 (step @p96 :rule refl :args (@t135)) % 0.37/0.69 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t170)) % 0.37/0.69 (step @p98 :rule cong :premises (@p97) :args (@t171)) % 0.37/0.69 (step @p99 :rule beta-reduce :args ((= (_ (lambda @t167 (or @t135 @t166)) @t168) @t171))) % 0.37/0.69 (step @p100 :rule trans :premises (@p99 @p98)) % 0.37/0.69 (step @p101 :rule beta-reduce :args ((= (_ @t175 @t2) @t168))) % 0.37/0.69 (step @p102 :rule refl :args (@t2)) % 0.37/0.69 (step @p103 :rule beta-reduce :args ((= @t176 @t175))) % 0.37/0.69 (step @p104 :rule ho_cong :premises (@p103 @p102)) % 0.37/0.69 (step @p105 :rule trans :premises (@p104 @p101)) % 0.37/0.69 (step @p106 :rule refl :args (@t166)) % 0.37/0.69 (step @p107 :rule beta-reduce :args ((= @t178 @t134))) % 0.37/0.69 (step @p108 :rule cong :premises (@p107) :args (@t179)) % 0.37/0.69 (step @p109 :rule nary_cong :premises (@p108 @p106) :args (@t180)) % 0.37/0.69 (step @p110 :rule cong :premises (@p109) :args (@t181)) % 0.37/0.69 (step @p111 :rule beta-reduce :args ((= (_ @t183 @t177) @t181))) % 0.37/0.69 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.69 (step @p113 :rule beta-reduce :args ((= (_ @t185 @t4) @t177))) % 0.37/0.69 (step @p114 :rule refl :args (@t4)) % 0.37/0.69 (step @p115 :rule beta-reduce :args ((= @t186 @t185))) % 0.37/0.69 (step @p116 :rule ho_cong :premises (@p115 @p114)) % 0.37/0.69 (step @p117 :rule trans :premises (@p116 @p113)) % 0.37/0.69 (step @p118 :rule refl :args (@t183)) % 0.37/0.69 (step @p119 :rule ho_cong :premises (@p118 @p117)) % 0.37/0.69 (step @p120 :rule trans :premises (@p119 @p112)) % 0.37/0.69 (step 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0.37/0.69 (step @p261 :rule ho_cong :premises (@p255 @p260)) % 0.37/0.69 (step @p262 :rule ho_cong :premises (@p261 @p257)) % 0.37/0.69 (step @p263 :rule ho_cong :premises (@p262 @p75)) % 0.37/0.69 (step @p264 :rule cong :premises (@p263) :args (@t7)) % 0.37/0.69 (step @p265 :rule refl :args (@t141)) % 0.37/0.69 (step @p266 :rule refl :args (@t44)) % 0.37/0.69 (step @p267 :rule cong :premises (@p266 @p265) :args ((= @t44 @t141))) % 0.37/0.69 (step @p268 :rule symm :premises (@p267)) % 0.37/0.69 (step @p269 :rule eq_resolve :premises (@p266 @p268)) % 0.37/0.69 (step @p270 :rule cong :premises (@p269) :args (@t46)) % 0.37/0.69 (step @p271 :rule cong :premises (@p270) :args (@t48)) % 0.37/0.69 (step @p272 :rule trans :premises (@p14 @p271)) % 0.37/0.69 (step @p273 :rule ho_cong :premises (@p272 @p264)) % 0.37/0.69 (step @p274 :rule ho_cong :premises (@p273 @p75)) % 0.37/0.69 (step @p275 :rule cong :premises (@p274) :args (@t9)) % 0.37/0.69 (step @p276 :rule ho_cong :premises (@p272 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false) (@list @t106))) % 0.37/0.69 ) % 0.37/0.69 % SZS output end Proof % 0.37/0.69 % cvc5 exiting %------------------------------------------------------------------------------