%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU454^1 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:52 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU454^1 : TPTP v9.2.1. Released v3.6.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.36 % Computer : n021.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 17:36:50 EDT 2026 % 0.16/0.36 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.36/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.36/0.62 (define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 0.36/0.62 (define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3))))))) % 0.36/0.62 (define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1))))))) % 0.36/0.62 (define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.36/0.62 (define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.36/0.62 (define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 0.36/0.62 (define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 0.36/0.62 (define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.36/0.62 (define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1)))))))) % 0.36/0.62 (define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1))))))))) % 0.36/0.62 (define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.36/0.62 (define tptp.trans () (let ((_let_1 (@var "Z" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "Y" $$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)))))))))) % 0.36/0.62 (define tptp.tc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_1) (forall (@list _let_3) (=> (and (_ tptp.trans _let_3) (_ (_ tptp.subrel _let_4) _let_3)) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.36/0.62 (define tptp.trc () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.rc (_ tptp.tc _let_3)) _let_2) _let_1)))))) % 0.36/0.62 (define tptp.trsc () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.sc (_ tptp.rc (_ tptp.tc _let_3))) _let_2) _let_1)))))) % 0.36/0.62 (define tptp.po () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.refl _let_1) (_ tptp.antisymm _let_1) (_ tptp.trans _let_1))))) % 0.36/0.62 (define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1))))) % 0.36/0.62 (define tptp.total () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (or (= _let_1 _let_2) (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.36/0.62 (define tptp.term () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "A" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1)))))))))))))))) % 0.36/0.62 (define tptp.ind () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (let ((_let_4 (@list _let_1))) (let ((_let_5 (@var "Y" $$unsorted))) (let ((_let_6 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_6) (forall (@list _let_2) (=> (forall _let_4 (=> (forall (@list _let_5) (=> (_ (_ (_ tptp.tc _let_6) _let_1) _let_5) (_ _let_2 _let_5))) _let_3)) (forall _let_4 _let_3))))))))))) % 0.36/0.62 (define tptp.innf () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (not (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.36/0.62 (define tptp.nfof () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "Y" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (and (_ (_ (_ tptp.trc _let_2) _let_3) _let_1) (_ (_ tptp.innf _let_2) _let_1))))))) % 0.36/0.62 (define tptp.norm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1) (exists (@list _let_2) (_ (_ (_ tptp.nfof _let_3) _let_2) _let_1)))))))) % 0.36/0.62 (define tptp.join () (let ((_let_1 (@var "Z" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ tptp.trc _let_3))) (let ((_let_5 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1)))))))))) % 0.36/0.62 (define tptp.lconfl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))))) % 0.36/0.62 (define tptp.sconfl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))) % 0.36/0.62 (define tptp.confl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (_ (_ tptp.trc _let_3) _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))))) % 0.36/0.62 (define tptp.cr () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ (_ tptp.trsc _let_3) _let_2) _let_1) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))) % 0.36/0.62 (define @t1 () (not (_ tptp.idem tptp.rc))) % 0.36/0.62 (define @t2 () (@var "Y" $$unsorted)) % 0.36/0.62 (define @t3 () (@var "X" $$unsorted)) % 0.36/0.62 (define @t4 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 0.36/0.62 (define @t5 () (_ (_ @t4 @t3) @t2)) % 0.36/0.62 (define @t6 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.36/0.62 (define @t7 () (_ @t6 @t3)) % 0.36/0.62 (define @t8 () (_ @t7 @t2)) % 0.36/0.62 (define @t9 () (@list @t3 @t2)) % 0.36/0.62 (define @t10 () (@list @t6 @t4)) % 0.36/0.62 (define @t11 () (lambda @t10 (forall @t9 (=> @t8 @t5)))) % 0.36/0.62 (define @t12 () (_ @t6 @t2)) % 0.36/0.62 (define @t13 () (_ @t12 @t3)) % 0.36/0.62 (define @t14 () (@list @t6 @t3 @t2)) % 0.36/0.62 (define @t15 () (lambda @t14 @t13)) % 0.36/0.62 (define @t16 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 0.36/0.62 (define @t17 () (_ @t16 @t6)) % 0.36/0.62 (define @t18 () (_ @t16 @t17)) % 0.36/0.62 (define @t19 () (@list @t6)) % 0.36/0.62 (define @t20 () (forall @t19 (= @t18 @t17))) % 0.36/0.62 (define @t21 () (@list @t16)) % 0.36/0.62 (define @t22 () (lambda @t21 @t20)) % 0.36/0.62 (define @t23 () (_ tptp.subrel @t6)) % 0.36/0.62 (define @t24 () (lambda @t21 (forall @t19 (_ @t23 @t17)))) % 0.36/0.62 (define @t25 () (_ @t23 @t4)) % 0.36/0.62 (define @t26 () (lambda @t21 (forall @t10 (=> @t25 (_ (_ tptp.subrel @t17) (_ @t16 @t4)))))) % 0.36/0.62 (define @t27 () (_ @t7 @t3)) % 0.36/0.62 (define @t28 () (@list @t3)) % 0.36/0.62 (define @t29 () (lambda @t19 (forall @t28 @t27))) % 0.36/0.62 (define @t30 () (lambda @t19 (forall @t28 (not @t27)))) % 0.36/0.62 (define @t31 () (= @t3 @t2)) % 0.36/0.62 (define @t32 () (or @t31 @t8)) % 0.36/0.62 (define @t33 () (lambda @t14 @t32)) % 0.36/0.62 (define @t34 () (lambda @t19 (forall @t9 (=> @t8 @t13)))) % 0.36/0.62 (define @t35 () (lambda @t19 (forall @t9 (=> (and @t8 @t13) @t31)))) % 0.36/0.62 (define @t36 () (lambda @t19 (forall @t9 (=> @t8 (not @t13))))) % 0.36/0.62 (define @t37 () (lambda @t14 (or @t13 @t8))) % 0.36/0.62 (define @t38 () (@var "Z" $$unsorted)) % 0.36/0.62 (define @t39 () (_ @t7 @t38)) % 0.36/0.62 (define @t40 () (@list @t3 @t2 @t38)) % 0.36/0.62 (define @t41 () (lambda @t19 (forall @t40 (=> (and @t8 (_ @t12 @t38)) @t39)))) % 0.36/0.62 (define @t42 () (lambda @t14 (forall (@list @t4) (=> (and (_ tptp.trans @t4) @t25) @t5)))) % 0.36/0.62 (define @t43 () (@var "__flatten_var_1" $$unsorted)) % 0.36/0.62 (define @t44 () (@var "__flatten_var_0" $$unsorted)) % 0.36/0.62 (define @t45 () (_ tptp.tc @t6)) % 0.36/0.62 (define @t46 () (_ tptp.rc @t45)) % 0.36/0.62 (define @t47 () (@list @t6 @t44 @t43)) % 0.36/0.62 (define @t48 () (lambda @t47 (_ (_ @t46 @t44) @t43))) % 0.36/0.62 (define @t49 () (lambda @t47 (_ (_ (_ tptp.sc @t46) @t44) @t43))) % 0.36/0.62 (define @t50 () (_ tptp.trans @t6)) % 0.36/0.62 (define @t51 () (lambda @t19 (and (_ tptp.refl @t6) (_ tptp.antisymm @t6) @t50))) % 0.36/0.62 (define @t52 () (lambda @t19 (and (_ tptp.asymm @t6) @t50))) % 0.36/0.62 (define @t53 () (lambda @t19 (forall @t9 (or @t31 @t8 @t13)))) % 0.36/0.62 (define @t54 () (@var "A" (-> $$unsorted Bool))) % 0.36/0.62 (define @t55 () (@list @t2)) % 0.36/0.62 (define @t56 () (_ @t54 @t3)) % 0.36/0.62 (define @t57 () (lambda @t19 (forall (@list @t54) (=> (exists @t28 @t56) (exists @t28 (and @t56 (forall @t55 (=> (_ @t54 @t2) (not @t8))))))))) % 0.36/0.62 (define @t58 () (@var "P" (-> $$unsorted Bool))) % 0.36/0.62 (define @t59 () (_ @t58 @t3)) % 0.36/0.62 (define @t60 () (lambda @t19 (forall (@list @t58) (=> (forall @t28 (=> (forall @t55 (=> (_ (_ @t45 @t3) @t2) (_ @t58 @t2))) @t59)) (forall @t28 @t59))))) % 0.36/0.62 (define @t61 () (lambda (@list @t6 @t3) (not (exists @t55 @t8)))) % 0.36/0.62 (define @t62 () (_ tptp.trc @t6)) % 0.36/0.62 (define @t63 () (_ @t62 @t2)) % 0.36/0.62 (define @t64 () (lambda @t14 (and (_ @t63 @t3) (_ (_ tptp.innf @t6) @t3)))) % 0.36/0.62 (define @t65 () (lambda @t19 (forall @t28 (exists @t55 (_ (_ (_ tptp.nfof @t6) @t2) @t3))))) % 0.36/0.62 (define @t66 () (_ @t62 @t3)) % 0.36/0.62 (define @t67 () (_ @t66 @t38)) % 0.36/0.62 (define @t68 () (lambda @t14 (exists (@list @t38) (and @t67 (_ @t63 @t38))))) % 0.36/0.62 (define @t69 () (_ tptp.join @t6)) % 0.36/0.62 (define @t70 () (_ (_ @t69 @t38) @t2)) % 0.36/0.62 (define @t71 () (lambda @t19 (forall @t40 (=> (and @t39 @t8) @t70)))) % 0.36/0.62 (define @t72 () (_ @t66 @t2)) % 0.36/0.62 (define @t73 () (lambda @t19 (forall @t40 (=> (and @t39 @t72) @t70)))) % 0.36/0.62 (define @t74 () (lambda @t19 (forall @t40 (=> (and @t67 @t72) @t70)))) % 0.36/0.62 (define @t75 () (lambda @t19 (forall @t9 (=> (_ (_ (_ tptp.trsc @t6) @t3) @t2) (_ (_ @t69 @t3) @t2))))) % 0.36/0.62 (define @t76 () (lambda @t9 @t32)) % 0.36/0.62 (define @t77 () (lambda @t55 @t32)) % 0.36/0.62 (define @t78 () (_ @t76 @t3)) % 0.36/0.62 (define @t79 () (or @t31 (_ @t78 @t2))) % 0.36/0.62 (define @t80 () (lambda @t9 @t79)) % 0.36/0.62 (define @t81 () (_ @t33 @t6)) % 0.36/0.62 (define @t82 () (= @t81 (_ @t33 @t81))) % 0.36/0.62 (define @t83 () (forall @t19 @t82)) % 0.36/0.62 (define @t84 () (_ (lambda @t21 (forall @t19 (= @t17 @t18))) @t33)) % 0.36/0.62 (assume @p1 @t1) % 0.36/0.62 (assume @p2 true) % 0.36/0.62 (step @p3 (= tptp.subrel @t11) :rule refl :args (@t11)) % 0.36/0.62 (step @p4 (= tptp.inv @t15) :rule refl :args (@t15)) % 0.36/0.62 (step @p5 (= tptp.idem @t22) :rule refl :args (@t22)) % 0.36/0.62 (step @p6 (= tptp.infl @t24) :rule refl :args (@t24)) % 0.36/0.62 (step @p7 (= tptp.mono @t26) :rule refl :args (@t26)) % 0.36/0.62 (step @p8 (= tptp.refl @t29) :rule refl :args (@t29)) % 0.36/0.62 (step @p9 (= tptp.irrefl @t30) :rule refl :args (@t30)) % 0.36/0.62 (step @p10 (= tptp.rc @t33) :rule refl :args (@t33)) % 0.36/0.62 (step @p11 (= tptp.symm @t34) :rule refl :args (@t34)) % 0.36/0.62 (step @p12 (= tptp.antisymm @t35) :rule refl :args (@t35)) % 0.36/0.62 (step @p13 (= tptp.asymm @t36) :rule refl :args (@t36)) % 0.36/0.62 (step @p14 (= tptp.sc @t37) :rule refl :args (@t37)) % 0.36/0.62 (step @p15 (= tptp.trans @t41) :rule refl :args (@t41)) % 0.36/0.62 (step @p16 (= tptp.tc @t42) :rule refl :args (@t42)) % 0.36/0.62 (step @p17 (= tptp.trc @t48) :rule refl :args (@t48)) % 0.36/0.62 (step @p18 (= tptp.trsc @t49) :rule refl :args (@t49)) % 0.36/0.62 (step @p19 (= tptp.po @t51) :rule refl :args (@t51)) % 0.36/0.62 (step @p20 (= tptp.so @t52) :rule refl :args (@t52)) % 0.36/0.62 (step @p21 (= tptp.total @t53) :rule refl :args (@t53)) % 0.36/0.62 (step @p22 (= tptp.term @t57) :rule refl :args (@t57)) % 0.36/0.62 (step @p23 (= tptp.ind @t60) :rule refl :args (@t60)) % 0.36/0.62 (step @p24 (= tptp.innf @t61) :rule refl :args (@t61)) % 0.36/0.62 (step @p25 (= tptp.nfof @t64) :rule refl :args (@t64)) % 0.36/0.62 (step @p26 (= tptp.norm @t65) :rule refl :args (@t65)) % 0.36/0.62 (step @p27 (= tptp.join @t68) :rule refl :args (@t68)) % 0.36/0.62 (step @p28 (= tptp.lconfl @t71) :rule refl :args (@t71)) % 0.36/0.62 (step @p29 (= tptp.sconfl @t73) :rule refl :args (@t73)) % 0.36/0.62 (step @p30 (= tptp.confl @t74) :rule refl :args (@t74)) % 0.36/0.62 (step @p31 (= tptp.cr @t75) :rule refl :args (@t75)) % 0.36/0.62 (step @p32 :rule evaluate :args ((not true))) % 0.36/0.62 (step @p33 :rule quant-unused-vars :args ((= (forall @t19 true) true))) % 0.36/0.62 (step @p34 :rule eq-refl :args (@t76)) % 0.36/0.62 (step @p35 :rule aci_norm :args ((= (or @t31 @t32) @t32))) % 0.36/0.62 (step @p36 :rule beta-reduce :args ((= (_ @t77 @t2) @t32))) % 0.36/0.62 (step @p37 :rule refl :args (@t2)) % 0.36/0.62 (step @p38 :rule beta-reduce :args ((= @t78 @t77))) % 0.36/0.62 (step @p39 :rule ho_cong :premises (@p38 @p37)) % 0.36/0.62 (step @p40 :rule trans :premises (@p39 @p36)) % 0.36/0.62 (step @p41 :rule refl :args (@t31)) % 0.36/0.62 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t79)) % 0.36/0.62 (step @p43 :rule trans :premises (@p42 @p35)) % 0.36/0.62 (step @p44 :rule cong :premises (@p43) :args (@t80)) % 0.36/0.62 (step @p45 :rule beta-reduce :args ((= (_ @t33 @t76) @t80))) % 0.36/0.62 (step @p46 :rule trans :premises (@p45 @p44)) % 0.36/0.62 (step @p47 :rule beta-reduce :args ((= @t81 @t76))) % 0.36/0.62 (step @p48 :rule refl :args (@t33)) % 0.36/0.62 (step @p49 :rule ho_cong :premises (@p48 @p47)) % 0.36/0.62 (step @p50 :rule trans :premises (@p49 @p46)) % 0.36/0.62 (step @p51 :rule cong :premises (@p47 @p50) :args (@t82)) % 0.36/0.62 (step @p52 :rule trans :premises (@p51 @p34)) % 0.36/0.62 (step @p53 :rule cong :premises (@p52) :args (@t83)) % 0.36/0.62 (step @p54 :rule trans :premises (@p53 @p33)) % 0.36/0.62 (step @p55 :rule beta-reduce :args ((= @t84 @t83))) % 0.36/0.62 (step @p56 :rule trans :premises (@p55 @p54)) % 0.36/0.62 (step @p57 :rule cong :premises (@p56) :args ((not @t84))) % 0.36/0.62 (step @p58 :rule trans :premises (@p57 @p32)) % 0.36/0.62 (step @p59 :rule eq-symm :args (@t18 @t17)) % 0.36/0.62 (step @p60 :rule cong :premises (@p59) :args (@t20)) % 0.36/0.62 (step @p61 :rule cong :premises (@p60) :args (@t22)) % 0.36/0.62 (step @p62 :rule trans :premises (@p5 @p61)) % 0.36/0.62 (step @p63 :rule ho_cong :premises (@p62 @p10)) % 0.36/0.62 (step @p64 :rule cong :premises (@p63) :args (@t1)) % 0.36/0.62 (step @p65 :rule trans :premises (@p64 @p58)) % 0.36/0.62 (step @p66 false :rule eq_resolve :premises (@p1 @p65)) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------