%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU498^1 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : 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 08:51:57 AM UTC 2026 % Result : Theorem 0.37s 0.64s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU498^1 : TPTP v9.2.1. Released v3.6.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:39:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.52 %----Proving TH0 % 0.37/0.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.64 % SZS status Theorem % 0.37/0.64 % SZS output start Proof % 0.37/0.64 ( % 0.37/0.64 (declare-sort $$unsorted 0) % 0.37/0.64 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.37/0.64 (define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 0.37/0.64 (define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3))))))) % 0.37/0.64 (define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1))))))) % 0.37/0.64 (define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.37/0.64 (define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.64 (define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 0.37/0.64 (define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.64 (define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.64 (define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1)))))))) % 0.37/0.64 (define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1))))))))) % 0.37/0.64 (define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.64 (define tptp.trans () (let ((_let_1 (@var "Z" $$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)))))))))) % 0.37/0.64 (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))))))))) % 0.37/0.64 (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)))))) % 0.37/0.64 (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)))))) % 0.37/0.64 (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))))) % 0.37/0.64 (define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1))))) % 0.37/0.64 (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)))))))) % 0.37/0.64 (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" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1)))))))))))))))) % 0.37/0.64 (define tptp.ind () (let ((_let_1 (@var "X" $$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))))))))))) % 0.37/0.64 (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)))))))) % 0.37/0.64 (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))))))) % 0.37/0.64 (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)))))))) % 0.37/0.64 (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" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1)))))))))) % 0.37/0.64 (define tptp.lconfl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.37/0.64 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))) % 0.37/0.64 (define tptp.confl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.37/0.64 (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)))))))) % 0.37/0.64 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.64 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.64 (define @t3 () (= @t2 @t1)) % 0.37/0.64 (define @t4 () (not @t3)) % 0.37/0.64 (define @t5 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.64 (define @t6 () (_ @t5 @t2)) % 0.37/0.64 (define @t7 () (_ @t6 @t1)) % 0.37/0.64 (define @t8 () (and @t7 @t4)) % 0.37/0.64 (define @t9 () (@list @t2 @t1)) % 0.37/0.64 (define @t10 () (lambda @t9 @t8)) % 0.37/0.64 (define @t11 () (=> (_ tptp.po @t5) (_ tptp.so @t10))) % 0.37/0.64 (define @t12 () (@list @t5)) % 0.37/0.64 (define @t13 () (forall @t12 @t11)) % 0.37/0.64 (define @t14 () (not @t13)) % 0.37/0.64 (define @t15 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 0.37/0.64 (define @t16 () (_ (_ @t15 @t2) @t1)) % 0.37/0.64 (define @t17 () (@list @t5 @t15)) % 0.37/0.64 (define @t18 () (lambda @t17 (forall @t9 (=> @t7 @t16)))) % 0.37/0.64 (define @t19 () (_ @t5 @t1)) % 0.37/0.64 (define @t20 () (_ @t19 @t2)) % 0.37/0.64 (define @t21 () (@list @t5 @t2 @t1)) % 0.37/0.64 (define @t22 () (lambda @t21 @t20)) % 0.37/0.64 (define @t23 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 0.37/0.64 (define @t24 () (_ @t23 @t5)) % 0.37/0.64 (define @t25 () (@list @t23)) % 0.37/0.64 (define @t26 () (lambda @t25 (forall @t12 (= (_ @t23 @t24) @t24)))) % 0.37/0.64 (define @t27 () (_ tptp.subrel @t5)) % 0.37/0.64 (define @t28 () (lambda @t25 (forall @t12 (_ @t27 @t24)))) % 0.37/0.64 (define @t29 () (_ @t27 @t15)) % 0.37/0.64 (define @t30 () (lambda @t25 (forall @t17 (=> @t29 (_ (_ tptp.subrel @t24) (_ @t23 @t15)))))) % 0.37/0.64 (define @t31 () (_ @t6 @t2)) % 0.37/0.64 (define @t32 () (@list @t2)) % 0.37/0.64 (define @t33 () (forall @t32 @t31)) % 0.37/0.64 (define @t34 () (lambda @t12 @t33)) % 0.37/0.64 (define @t35 () (lambda @t12 (forall @t32 (not @t31)))) % 0.37/0.64 (define @t36 () (lambda @t21 (or @t3 @t7))) % 0.37/0.64 (define @t37 () (lambda @t12 (forall @t9 (=> @t7 @t20)))) % 0.37/0.64 (define @t38 () (and @t7 @t20)) % 0.37/0.64 (define @t39 () (forall @t9 (=> @t38 @t3))) % 0.37/0.64 (define @t40 () (lambda @t12 @t39)) % 0.37/0.64 (define @t41 () (not @t20)) % 0.37/0.64 (define @t42 () (forall @t9 (=> @t7 @t41))) % 0.37/0.64 (define @t43 () (lambda @t12 @t42)) % 0.37/0.64 (define @t44 () (lambda @t21 (or @t20 @t7))) % 0.37/0.64 (define @t45 () (@var "Z" $$unsorted)) % 0.37/0.64 (define @t46 () (_ @t6 @t45)) % 0.37/0.64 (define @t47 () (_ @t19 @t45)) % 0.37/0.64 (define @t48 () (and @t7 @t47)) % 0.37/0.64 (define @t49 () (@list @t2 @t1 @t45)) % 0.37/0.64 (define @t50 () (forall @t49 (=> @t48 @t46))) % 0.37/0.64 (define @t51 () (lambda @t12 @t50)) % 0.37/0.64 (define @t52 () (lambda @t21 (forall (@list @t15) (=> (and (_ tptp.trans @t15) @t29) @t16)))) % 0.37/0.64 (define @t53 () (@var "__flatten_var_1" $$unsorted)) % 0.37/0.64 (define @t54 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.64 (define @t55 () (_ tptp.tc @t5)) % 0.37/0.64 (define @t56 () (_ tptp.rc @t55)) % 0.37/0.64 (define @t57 () (@list @t5 @t54 @t53)) % 0.37/0.64 (define @t58 () (lambda @t57 (_ (_ @t56 @t54) @t53))) % 0.37/0.64 (define @t59 () (lambda @t57 (_ (_ (_ tptp.sc @t56) @t54) @t53))) % 0.37/0.64 (define @t60 () (_ tptp.trans @t5)) % 0.37/0.64 (define @t61 () (and (_ tptp.refl @t5) (_ tptp.antisymm @t5) @t60)) % 0.37/0.64 (define @t62 () (lambda @t12 @t61)) % 0.37/0.64 (define @t63 () (and (_ tptp.asymm @t5) @t60)) % 0.37/0.64 (define @t64 () (lambda @t12 @t63)) % 0.37/0.64 (define @t65 () (lambda @t12 (forall @t9 (or @t3 @t7 @t20)))) % 0.37/0.64 (define @t66 () (not @t7)) % 0.37/0.64 (define @t67 () (@var "A" (-> $$unsorted Bool))) % 0.37/0.64 (define @t68 () (@list @t1)) % 0.37/0.64 (define @t69 () (_ @t67 @t2)) % 0.37/0.64 (define @t70 () (lambda @t12 (forall (@list @t67) (=> (exists @t32 @t69) (exists @t32 (and @t69 (forall @t68 (=> (_ @t67 @t1) @t66)))))))) % 0.37/0.64 (define @t71 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.64 (define @t72 () (_ @t71 @t2)) % 0.37/0.64 (define @t73 () (lambda @t12 (forall (@list @t71) (=> (forall @t32 (=> (forall @t68 (=> (_ (_ @t55 @t2) @t1) (_ @t71 @t1))) @t72)) (forall @t32 @t72))))) % 0.37/0.64 (define @t74 () (lambda (@list @t5 @t2) (not (exists @t68 @t7)))) % 0.37/0.64 (define @t75 () (_ tptp.trc @t5)) % 0.37/0.64 (define @t76 () (_ @t75 @t1)) % 0.37/0.64 (define @t77 () (lambda @t21 (and (_ @t76 @t2) (_ (_ tptp.innf @t5) @t2)))) % 0.37/0.64 (define @t78 () (lambda @t12 (forall @t32 (exists @t68 (_ (_ (_ tptp.nfof @t5) @t1) @t2))))) % 0.37/0.64 (define @t79 () (_ @t75 @t2)) % 0.37/0.64 (define @t80 () (_ @t79 @t45)) % 0.37/0.64 (define @t81 () (lambda @t21 (exists (@list @t45) (and @t80 (_ @t76 @t45))))) % 0.37/0.64 (define @t82 () (_ tptp.join @t5)) % 0.37/0.64 (define @t83 () (_ (_ @t82 @t45) @t1)) % 0.37/0.64 (define @t84 () (lambda @t12 (forall @t49 (=> (and @t46 @t7) @t83)))) % 0.37/0.64 (define @t85 () (_ @t79 @t1)) % 0.37/0.64 (define @t86 () (lambda @t12 (forall @t49 (=> (and @t46 @t85) @t83)))) % 0.37/0.64 (define @t87 () (lambda @t12 (forall @t49 (=> (and @t80 @t85) @t83)))) % 0.37/0.64 (define @t88 () (lambda @t12 (forall @t9 (=> (_ (_ (_ tptp.trsc @t5) @t2) @t1) (_ (_ @t82 @t2) @t1))))) % 0.37/0.64 (define @t89 () (@var "BOUND_VARIABLE_8894" $$unsorted)) % 0.37/0.64 (define @t90 () (@var "BOUND_VARIABLE_8890" $$unsorted)) % 0.37/0.64 (define @t91 () (@var "BOUND_VARIABLE_8892" $$unsorted)) % 0.37/0.64 (define @t92 () (or (not (_ @t5 @t90 @t91)) (= @t90 @t91) (not (_ @t5 @t91 @t89)) (= @t91 @t89) (and (_ @t5 @t90 @t89) (not (= @t90 @t89))))) % 0.37/0.64 (define @t93 () (@var "BOUND_VARIABLE_8880" $$unsorted)) % 0.37/0.64 (define @t94 () (@var "BOUND_VARIABLE_8882" $$unsorted)) % 0.37/0.64 (define @t95 () (or (not (_ @t5 @t93 @t94)) (= @t93 @t94) (not (_ @t5 @t94 @t93)))) % 0.37/0.64 (define @t96 () (and @t95 @t92)) % 0.37/0.64 (define @t97 () (_ @t5 @t2 @t45)) % 0.37/0.64 (define @t98 () (_ @t5 @t1 @t45)) % 0.37/0.64 (define @t99 () (not @t98)) % 0.37/0.64 (define @t100 () (_ @t5 @t2 @t1)) % 0.37/0.64 (define @t101 () (not @t100)) % 0.37/0.64 (define @t102 () (forall @t49 (or @t101 @t99 @t97))) % 0.37/0.64 (define @t103 () (not @t102)) % 0.37/0.64 (define @t104 () (_ @t5 @t1 @t2)) % 0.37/0.64 (define @t105 () (not @t104)) % 0.37/0.64 (define @t106 () (forall @t9 (or @t101 @t105 @t3))) % 0.37/0.64 (define @t107 () (not @t106)) % 0.37/0.64 (define @t108 () (_ @t5 @t2 @t2)) % 0.37/0.64 (define @t109 () (forall @t32 @t108)) % 0.37/0.64 (define @t110 () (not @t109)) % 0.37/0.64 (define @t111 () (or @t110 @t107 @t103 @t96)) % 0.37/0.64 (define @t112 () (forall (@list @t5 @t93 @t94 @t90 @t91 @t89) @t111)) % 0.37/0.64 (define @t113 () (@quantifiers_skolemize @t112 4)) % 0.37/0.64 (define @t114 () (@quantifiers_skolemize @t112 3)) % 0.37/0.64 (define @t115 () (@quantifiers_skolemize @t112 0)) % 0.37/0.64 (define @t116 () (_ @t115 @t114 @t113)) % 0.37/0.64 (define @t117 () (@quantifiers_skolemize @t112 5)) % 0.37/0.64 (define @t118 () (= @t114 @t117)) % 0.37/0.64 (define @t119 () (not @t118)) % 0.37/0.64 (define @t120 () (_ @t115 @t114 @t117)) % 0.37/0.64 (define @t121 () (and @t120 @t119)) % 0.37/0.64 (define @t122 () (_ @t115 @t113 @t117)) % 0.37/0.64 (define @t123 () (not @t122)) % 0.37/0.64 (define @t124 () (= @t114 @t113)) % 0.37/0.64 (define @t125 () (not @t116)) % 0.37/0.64 (define @t126 () (or @t125 @t124 @t123 (= @t113 @t117) @t121)) % 0.37/0.64 (define @t127 () (@list @t93 @t94 @t90 @t91 @t89)) % 0.37/0.64 (define @t128 () (forall @t127 @t111)) % 0.37/0.64 (define @t129 () (forall (@list @t90 @t91 @t89) @t92)) % 0.37/0.64 (define @t130 () (forall @t127 @t92)) % 0.37/0.64 (define @t131 () (forall (@list @t93 @t94) @t95)) % 0.37/0.64 (define @t132 () (forall @t127 @t95)) % 0.37/0.64 (define @t133 () (and @t132 @t130)) % 0.37/0.64 (define @t134 () (forall @t127 @t96)) % 0.37/0.64 (define @t135 () (or @t110 @t107 @t103 @t134)) % 0.37/0.64 (define @t136 () (not (= @t2 @t45))) % 0.37/0.64 (define @t137 () (= @t1 @t45)) % 0.37/0.64 (define @t138 () (and (forall @t9 (or @t101 @t3 @t105)) (forall @t49 (or @t101 @t3 @t99 @t137 (and @t97 @t136))))) % 0.37/0.64 (define @t139 () (or @t110 @t107 @t103 @t138)) % 0.37/0.64 (define @t140 () (or @t110 @t107 @t103)) % 0.37/0.64 (define @t141 () (and @t109 @t106 @t102)) % 0.37/0.64 (define @t142 () (and @t46 @t136)) % 0.37/0.64 (define @t143 () (not @t47)) % 0.37/0.64 (define @t144 () (or @t66 @t3 @t143 @t137 @t142)) % 0.37/0.64 (define @t145 () (or @t66 @t3)) % 0.37/0.64 (define @t146 () (not @t137)) % 0.37/0.64 (define @t147 () (not @t4)) % 0.37/0.64 (define @t148 () (and @t47 @t146)) % 0.37/0.64 (define @t149 () (not @t8)) % 0.37/0.64 (define @t150 () (or @t149 (not @t148) @t142)) % 0.37/0.64 (define @t151 () (_ @t10 @t2 @t45)) % 0.37/0.64 (define @t152 () (_ @t10 @t1 @t45)) % 0.37/0.64 (define @t153 () (not @t152)) % 0.37/0.64 (define @t154 () (_ @t10 @t2 @t1)) % 0.37/0.64 (define @t155 () (not @t154)) % 0.37/0.64 (define @t156 () (or @t155 @t153 @t151)) % 0.37/0.64 (define @t157 () (forall @t49 @t156)) % 0.37/0.64 (define @t158 () (or @t66 @t3 @t41)) % 0.37/0.64 (define @t159 () (or @t149 (not (and @t20 @t4)))) % 0.37/0.64 (define @t160 () (not (= @t1 @t2))) % 0.37/0.64 (define @t161 () (and @t20 @t160)) % 0.37/0.64 (define @t162 () (_ @t10 @t1 @t2)) % 0.37/0.64 (define @t163 () (not @t162)) % 0.37/0.64 (define @t164 () (or @t155 @t163)) % 0.37/0.64 (define @t165 () (forall @t9 @t164)) % 0.37/0.64 (define @t166 () (and @t165 @t157)) % 0.37/0.64 (define @t167 () (forall @t9 (or @t101 @t105))) % 0.37/0.64 (define @t168 () (_ (lambda @t12 (and @t167 @t102)) @t10)) % 0.37/0.64 (define @t169 () (_ (lambda @t12 @t141) @t5)) % 0.37/0.64 (define @t170 () (=> @t169 @t168)) % 0.37/0.64 (define @t171 () (forall @t12 @t170)) % 0.37/0.64 (define @t172 () (_ (lambda @t12 @t102) @t5)) % 0.37/0.64 (define @t173 () (_ (lambda @t12 @t167) @t5)) % 0.37/0.64 (define @t174 () (or @t66 @t143 @t46)) % 0.37/0.64 (define @t175 () (or @t66 @t41)) % 0.37/0.64 (define @t176 () (_ (lambda @t12 @t106) @t5)) % 0.37/0.64 (define @t177 () (_ (lambda @t12 @t109) @t5)) % 0.37/0.64 (define @t178 () (or @t66 @t41 @t3)) % 0.37/0.64 (define @t179 () (not (_ @t115 @t2 @t1))) % 0.37/0.64 (define @t180 () (forall @t9 (or @t179 (not (_ @t115 @t1 @t2)) @t3))) % 0.37/0.64 (define @t181 () (@quantifiers_skolemize @t112 1)) % 0.37/0.64 (define @t182 () (@quantifiers_skolemize @t112 2)) % 0.37/0.64 (define @t183 () (_ @t115 @t182 @t181)) % 0.37/0.64 (define @t184 () (not @t183)) % 0.37/0.64 (define @t185 () (= @t181 @t182)) % 0.37/0.64 (define @t186 () (_ @t115 @t181 @t182)) % 0.37/0.64 (define @t187 () (not @t186)) % 0.37/0.64 (define @t188 () (or @t187 @t185 @t184)) % 0.37/0.64 (define @t189 () (and @t188 @t126)) % 0.37/0.64 (define @t190 () (forall @t49 (or @t179 (not (_ @t115 @t1 @t45)) (_ @t115 @t2 @t45)))) % 0.37/0.64 (define @t191 () (not @t190)) % 0.37/0.64 (define @t192 () (not @t180)) % 0.37/0.64 (define @t193 () (or (not (forall @t32 (_ @t115 @t2 @t2))) @t192 @t191 @t189)) % 0.37/0.64 (define @t194 () (@list true)) % 0.37/0.64 (define @t195 () (@list @t193)) % 0.37/0.64 (define @t196 () (_ @t115 @t113 @t114)) % 0.37/0.64 (define @t197 () (not @t196)) % 0.37/0.64 (define @t198 () (or @t125 @t197 @t124)) % 0.37/0.64 (define @t199 () (or @t125 @t123 @t120)) % 0.37/0.64 (define @t200 () (not @t120)) % 0.37/0.64 (define @t201 () (and @t197 @t118 @t122)) % 0.37/0.64 (define @t202 () (@list @t188)) % 0.37/0.64 (define @t203 () (or @t187 @t184 @t185)) % 0.37/0.64 (assume @p1 @t14) % 0.37/0.64 (assume @p2 true) % 0.37/0.64 (step @p3 (= tptp.subrel @t18) :rule refl :args (@t18)) % 0.37/0.64 (step @p4 (= tptp.inv @t22) :rule refl :args (@t22)) % 0.37/0.64 (step @p5 (= tptp.idem @t26) :rule refl :args (@t26)) % 0.37/0.64 (step @p6 (= tptp.infl @t28) :rule refl :args (@t28)) % 0.37/0.64 (step @p7 (= tptp.mono @t30) :rule refl :args (@t30)) % 0.37/0.64 (step @p8 (= tptp.refl @t34) :rule refl :args (@t34)) % 0.37/0.64 (step @p9 (= tptp.irrefl @t35) :rule refl :args (@t35)) % 0.37/0.64 (step @p10 (= tptp.rc @t36) :rule refl :args (@t36)) % 0.37/0.64 (step @p11 (= tptp.symm @t37) :rule refl :args (@t37)) % 0.37/0.64 (step @p12 (= tptp.antisymm @t40) :rule refl :args (@t40)) % 0.37/0.64 (step @p13 (= tptp.asymm @t43) :rule refl :args (@t43)) % 0.37/0.64 (step @p14 (= tptp.sc @t44) :rule refl :args (@t44)) % 0.37/0.64 (step @p15 (= tptp.trans @t51) :rule refl :args (@t51)) % 0.37/0.64 (step @p16 (= tptp.tc @t52) :rule refl :args (@t52)) % 0.37/0.64 (step @p17 (= tptp.trc @t58) :rule refl :args (@t58)) % 0.37/0.64 (step @p18 (= tptp.trsc @t59) :rule refl :args (@t59)) % 0.37/0.64 (step @p19 (= tptp.po @t62) :rule refl :args (@t62)) % 0.37/0.64 (step @p20 (= tptp.so @t64) :rule refl :args (@t64)) % 0.37/0.64 (step @p21 (= tptp.total @t65) :rule refl :args (@t65)) % 0.37/0.64 (step @p22 (= tptp.term @t70) :rule refl :args (@t70)) % 0.37/0.64 (step @p23 (= tptp.ind @t73) :rule refl :args (@t73)) % 0.37/0.64 (step @p24 (= tptp.innf @t74) :rule refl :args (@t74)) % 0.37/0.64 (step @p25 (= tptp.nfof @t77) :rule refl :args (@t77)) % 0.37/0.64 (step @p26 (= tptp.norm @t78) :rule refl :args (@t78)) % 0.37/0.64 (step @p27 (= tptp.join @t81) :rule refl :args (@t81)) % 0.37/0.64 (step @p28 (= tptp.lconfl @t84) :rule refl :args (@t84)) % 0.37/0.64 (step @p29 (= tptp.sconfl @t86) :rule refl :args (@t86)) % 0.37/0.64 (step @p30 (= tptp.confl @t87) :rule refl :args (@t87)) % 0.37/0.64 (step @p31 (= tptp.cr @t88) :rule refl :args (@t88)) % 0.37/0.64 (step @p32 :rule bool-double-not-elim :args (@t116)) % 0.37/0.64 (step @p33 :rule refl :args (@t126)) % 0.37/0.64 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t126 (not @t125)))) % 0.37/0.64 (step @p35 :rule cnf_or_neg :args (@t126 0)) % 0.37/0.64 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.37/0.64 (step @p37 :rule reordering :premises (@p36) :args ((or @t116 @t126))) % 0.37/0.64 (step @p38 :rule cnf_or_neg :args (@t126 1)) % 0.37/0.64 (step @p39 :rule bool-double-not-elim :args (@t122)) % 0.37/0.64 (step @p40 :rule nary_cong :premises (@p33 @p39) :args ((or @t126 (not @t123)))) % 0.37/0.64 (step @p41 :rule cnf_or_neg :args (@t126 2)) % 0.37/0.64 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.37/0.64 (step @p43 :rule reordering :premises (@p42) :args ((or @t122 @t126))) % 0.37/0.64 (step @p44 :rule cnf_or_neg :args (@t126 4)) % 0.37/0.64 (step @p45 :rule quant-merge-prenex :args ((= (forall @t12 @t128) @t112))) % 0.37/0.64 (step @p46 :rule alpha_equiv :args (@t129 (@list @t90 @t91 @t89) (@list @t2 @t1 @t45))) % 0.37/0.64 (step @p47 :rule quant-unused-vars :args ((= @t130 @t129))) % 0.37/0.64 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.64 (step @p49 :rule alpha_equiv :args (@t131 (@list @t93 @t94) (@list @t2 @t1))) % 0.37/0.64 (step @p50 :rule quant-unused-vars :args ((= @t132 @t131))) % 0.37/0.64 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.64 (step @p52 :rule nary_cong :premises (@p51 @p48) :args (@t133)) % 0.37/0.64 (step @p53 :rule quant-miniscope-and :args ((= @t134 @t133))) % 0.37/0.64 (step @p54 :rule trans :premises (@p53 @p52)) % 0.37/0.64 (step @p55 :rule refl :args (@t103)) % 0.37/0.64 (step @p56 :rule refl :args (@t107)) % 0.37/0.64 (step @p57 :rule refl :args (@t110)) % 0.37/0.64 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55 @p54) :args (@t135)) % 0.37/0.64 (step @p59 :rule quant-miniscope-or :args ((= @t128 @t135))) % 0.37/0.64 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.64 (step @p61 :rule symm :premises (@p60)) % 0.37/0.64 (step @p62 :rule cong :premises (@p61) :args ((forall @t12 @t139))) % 0.37/0.64 (step @p63 :rule trans :premises (@p62 @p45)) % 0.37/0.64 (step @p64 :rule aci_norm :args ((= (or @t140 @t138) @t139))) % 0.37/0.64 (step @p65 :rule refl :args (@t138)) % 0.37/0.64 (step @p66 :rule aci_norm :args ((= (or @t110 (or @t107 @t103)) @t140))) % 0.37/0.64 (step @p67 :rule bool-and-de-morgan :args (@t106 @t102 true)) % 0.37/0.64 (step @p68 :rule nary_cong :premises (@p57 @p67) :args ((or @t110 (not (and @t106 @t102))))) % 0.37/0.64 (step @p69 :rule bool-and-de-morgan :args (@t109 @t106 (and @t102))) % 0.37/0.64 (step @p70 :rule trans :premises (@p69 @p68)) % 0.37/0.64 (step @p71 :rule trans :premises (@p70 @p66)) % 0.37/0.64 (step @p72 :rule nary_cong :premises (@p71 @p65) :args ((or (not @t141) @t138))) % 0.37/0.64 (step @p73 :rule trans :premises (@p72 @p64)) % 0.37/0.64 (step @p74 :rule bool-impl-elim :args (@t141 @t138)) % 0.37/0.64 (step @p75 :rule trans :premises (@p74 @p73)) % 0.37/0.64 (step @p76 :rule cong :premises (@p75) :args ((forall @t12 (=> @t141 @t138)))) % 0.37/0.64 (step @p77 :rule trans :premises (@p76 @p63)) % 0.37/0.64 (step @p78 :rule refl :args (@t136)) % 0.37/0.64 (step @p79 :rule refl :args (@t97)) % 0.37/0.64 (step @p80 :rule refl :args (@t46)) % 0.37/0.64 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t46 @t97))) % 0.37/0.64 (step @p82 :rule symm :premises (@p81)) % 0.37/0.64 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.37/0.64 (step @p84 :rule nary_cong :premises (@p83 @p78) :args (@t142)) % 0.37/0.64 (step @p85 :rule refl :args (@t137)) % 0.37/0.64 (step @p86 :rule refl :args (@t98)) % 0.37/0.64 (step @p87 :rule refl :args (@t47)) % 0.37/0.64 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t47 @t98))) % 0.37/0.64 (step @p89 :rule symm :premises (@p88)) % 0.37/0.64 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.37/0.64 (step @p91 :rule cong :premises (@p90) :args (@t143)) % 0.37/0.64 (step @p92 :rule refl :args (@t3)) % 0.37/0.64 (step @p93 :rule refl :args (@t100)) % 0.37/0.64 (step @p94 :rule refl :args (@t7)) % 0.37/0.64 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t7 @t100))) % 0.37/0.64 (step @p96 :rule symm :premises (@p95)) % 0.37/0.64 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.37/0.64 (step @p98 :rule cong :premises (@p97) :args (@t66)) % 0.37/0.64 (step @p99 :rule nary_cong :premises (@p98 @p92 @p91 @p85 @p84) :args (@t144)) % 0.37/0.64 (step @p100 :rule cong :premises (@p99) :args ((forall @t49 @t144))) % 0.37/0.64 (step @p101 :rule aci_norm :args ((= (or @t145 (or @t143 @t137) @t142) @t144))) % 0.37/0.64 (step @p102 :rule refl :args (@t142)) % 0.37/0.64 (step @p103 :rule bool-double-not-elim :args (@t137)) % 0.37/0.64 (step @p104 :rule refl :args (@t143)) % 0.37/0.64 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t143 (not @t146)))) % 0.37/0.64 (step @p106 :rule bool-and-de-morgan :args (@t47 @t146 true)) % 0.37/0.64 (step @p107 :rule trans :premises (@p106 @p105)) % 0.37/0.64 (step @p108 :rule bool-double-not-elim :args (@t3)) % 0.37/0.64 (step @p109 :rule refl :args (@t66)) % 0.37/0.64 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t66 @t147))) % 0.37/0.64 (step @p111 :rule bool-and-de-morgan :args (@t7 @t4 true)) % 0.37/0.64 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.64 (step @p113 :rule nary_cong :premises (@p112 @p107 @p102) :args (@t150)) % 0.37/0.64 (step @p114 :rule trans :premises (@p113 @p101)) % 0.37/0.64 (step @p115 :rule cong :premises (@p114) :args ((forall @t49 @t150))) % 0.37/0.64 (step @p116 :rule trans :premises (@p115 @p100)) % 0.37/0.64 (step @p117 :rule beta-reduce :args ((= @t151 @t142))) % 0.37/0.64 (step @p118 :rule beta-reduce :args ((= @t152 @t148))) % 0.37/0.64 (step @p119 :rule cong :premises (@p118) :args (@t153)) % 0.37/0.64 (step @p120 :rule beta-reduce :args ((= @t154 @t8))) % 0.37/0.64 (step @p121 :rule cong :premises (@p120) :args (@t155)) % 0.37/0.64 (step @p122 :rule nary_cong :premises (@p121 @p119 @p117) :args (@t156)) % 0.37/0.64 (step @p123 :rule cong :premises (@p122) :args (@t157)) % 0.37/0.64 (step @p124 :rule trans :premises (@p123 @p116)) % 0.37/0.64 (step @p125 :rule refl :args (@t104)) % 0.37/0.64 (step @p126 :rule refl :args (@t20)) % 0.37/0.64 (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t20 @t104))) % 0.37/0.64 (step @p128 :rule symm :premises (@p127)) % 0.37/0.64 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.37/0.64 (step @p130 :rule cong :premises (@p129) :args (@t41)) % 0.37/0.64 (step @p131 :rule nary_cong :premises (@p98 @p92 @p130) :args (@t158)) % 0.37/0.64 (step @p132 :rule cong :premises (@p131) :args ((forall @t9 @t158))) % 0.37/0.64 (step @p133 :rule aci_norm :args ((= (or @t145 (or @t41 @t3)) @t158))) % 0.37/0.64 (step @p134 :rule refl :args (@t41)) % 0.37/0.64 (step @p135 :rule nary_cong :premises (@p134 @p108) :args ((or @t41 @t147))) % 0.37/0.64 (step @p136 :rule bool-and-de-morgan :args (@t20 @t4 true)) % 0.37/0.64 (step @p137 :rule trans :premises (@p136 @p135)) % 0.37/0.64 (step @p138 :rule nary_cong :premises (@p112 @p137) :args (@t159)) % 0.37/0.64 (step @p139 :rule trans :premises (@p138 @p133)) % 0.37/0.64 (step @p140 :rule cong :premises (@p139) :args ((forall @t9 @t159))) % 0.37/0.64 (step @p141 :rule trans :premises (@p140 @p132)) % 0.37/0.64 (step @p142 :rule eq-symm :args (@t1 @t2)) % 0.37/0.64 (step @p143 :rule cong :premises (@p142) :args (@t160)) % 0.37/0.64 (step @p144 :rule refl :args (@t20)) % 0.37/0.64 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t161)) % 0.37/0.64 (step @p146 :rule beta-reduce :args ((= @t162 @t161))) % 0.37/0.64 (step @p147 :rule trans :premises (@p146 @p145)) % 0.37/0.64 (step @p148 :rule cong :premises (@p147) :args (@t163)) % 0.37/0.64 (step @p149 :rule nary_cong :premises (@p121 @p148) :args (@t164)) % 0.37/0.64 (step @p150 :rule cong :premises (@p149) :args (@t165)) % 0.37/0.64 (step @p151 :rule trans :premises (@p150 @p141)) % 0.37/0.64 (step @p152 :rule nary_cong :premises (@p151 @p124) :args (@t166)) % 0.37/0.64 (step @p153 :rule beta-reduce :args ((= @t168 @t166))) % 0.37/0.64 (step @p154 :rule trans :premises (@p153 @p152)) % 0.37/0.64 (step @p155 :rule beta-reduce :args ((= @t169 @t141))) % 0.37/0.64 (step @p156 :rule cong :premises (@p155 @p154) :args (@t170)) % 0.37/0.64 (step @p157 :rule cong :premises (@p156) :args 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@t46)) % 0.37/0.64 (step @p172 :rule trans :premises (@p171 @p170)) % 0.37/0.64 (step @p173 :rule cong :premises (@p172) :args (@t50)) % 0.37/0.64 (step @p174 :rule trans :premises (@p173 @p166)) % 0.37/0.64 (step @p175 :rule cong :premises (@p174) :args (@t51)) % 0.37/0.64 (step @p176 :rule trans :premises (@p15 @p175)) % 0.37/0.64 (step @p177 :rule ho_cong :premises (@p176 @p164)) % 0.37/0.64 (step @p178 :rule nary_cong :premises (@p98 @p130) :args (@t175)) % 0.37/0.64 (step @p179 :rule cong :premises (@p178) :args ((forall @t9 @t175))) % 0.37/0.64 (step @p180 :rule bool-impl-elim :args (@t7 @t41)) % 0.37/0.64 (step @p181 :rule cong :premises (@p180) :args (@t42)) % 0.37/0.64 (step @p182 :rule trans :premises (@p181 @p179)) % 0.37/0.64 (step @p183 :rule cong :premises (@p182) :args (@t43)) % 0.37/0.64 (step @p184 :rule trans :premises (@p13 @p183)) % 0.37/0.64 (step @p185 :rule ho_cong :premises (@p184 @p164)) % 0.37/0.64 (step @p186 :rule nary_cong :premises (@p185 @p177) :args 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0.37/0.64 (assume-push @p310 @t118) % 0.37/0.64 (assume-push @p311 @t122) % 0.37/0.64 (step @p260 :rule evaluate :args ((= true false))) % 0.37/0.64 (step @p261 :rule false_intro :premises (@p309)) % 0.37/0.64 (step @p262 :rule symm :premises (@p310)) % 0.37/0.64 (step @p263 :rule refl :args (@t113)) % 0.37/0.64 (step @p264 :rule cong :premises (@p263 @p262) :args (@t122)) % 0.37/0.64 (step @p265 :rule true_intro :premises (@p311)) % 0.37/0.64 (step @p266 :rule symm :premises (@p265)) % 0.37/0.64 (step @p267 :rule trans :premises (@p266 @p264 @p261)) % 0.37/0.64 (step @p268 false :rule eq_resolve :premises (@p267 @p260)) % 0.37/0.64 (step-pop @p312 :rule scope :premises (@p268)) % 0.37/0.64 (step-pop @p313 :rule scope :premises (@p312)) % 0.37/0.64 (step-pop @p314 :rule scope :premises (@p313)) % 0.37/0.64 (step @p269 :rule process_scope :premises (@p314) :args (false)) % 0.37/0.64 (assume-push @p315 @t122) % 0.37/0.64 (assume-push @p316 @t118) % 0.37/0.64 (assume-push @p317 @t197) % 0.37/0.64 (step @p276 :rule and_intro :premises (@p317 @p316 @p315)) % 0.37/0.64 (step-pop @p318 :rule scope :premises (@p276)) % 0.37/0.64 (step-pop @p319 :rule scope :premises (@p318)) % 0.37/0.64 (step-pop @p320 :rule scope :premises (@p319)) % 0.37/0.64 (step @p277 :rule process_scope :premises (@p320) :args (@t201)) % 0.37/0.64 (step @p281 :rule implies_elim :premises (@p277)) % 0.37/0.64 (step @p282 :rule resolution :premises (@p281 @p269) :args (true @t201)) % 0.37/0.64 (step @p283 :rule not_and :premises (@p282)) % 0.37/0.64 (step @p284 :rule eq_resolve :premises (@p283 @p256)) % 0.37/0.64 (step @p285 :rule chain_m_resolution :premises (@p284 @p252 @p245 @p243 @p236 @p234 @p44 @p43 @p38 @p37) :args (@t126 (@list false false false true false true false true false) (@list @t118 @t120 @t199 @t196 @t198 @t121 @t122 @t124 @t116))) % 0.37/0.64 (step @p286 :rule cnf_or_neg :args (@t193 3)) % 0.37/0.64 (step @p287 :rule chain_m_resolution :premises (@p286 @p226) :args ((not @t189) @t194 @t195)) % 0.37/0.64 (step @p288 :rule cnf_and_neg :args (@t189)) % 0.37/0.64 (step @p289 :rule chain_m_resolution :premises (@p288 @p287 @p285) :args ((not @t188) (@list true false) (@list @t189 @t126))) % 0.37/0.64 (step @p290 :rule bool-double-not-elim :args (@t186)) % 0.37/0.64 (step @p291 :rule refl :args (@t188)) % 0.37/0.64 (step @p292 :rule nary_cong :premises (@p291 @p290) :args ((or @t188 (not @t187)))) % 0.37/0.64 (step @p293 :rule cnf_or_neg :args (@t188 0)) % 0.37/0.64 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 0.37/0.64 (step @p295 :rule reordering :premises (@p294) :args ((or @t186 @t188))) % 0.37/0.64 (step @p296 :rule chain_m_resolution :premises (@p295 @p289) :args (@t186 @t194 @t202)) % 0.37/0.64 (step @p297 :rule instantiate :premises (@p233) :args ((@list @t181 @t182))) % 0.37/0.64 (step @p298 :rule cnf_or_neg :args (@t188 1)) % 0.37/0.64 (step @p299 :rule chain_m_resolution :premises (@p298 @p289) :args ((not @t185) @t194 @t202)) % 0.37/0.64 (step @p300 :rule bool-double-not-elim :args (@t183)) % 0.37/0.64 (step @p301 :rule nary_cong :premises (@p291 @p300) :args ((or @t188 (not @t184)))) % 0.37/0.64 (step @p302 :rule cnf_or_neg :args (@t188 2)) % 0.37/0.64 (step @p303 :rule eq_resolve :premises (@p302 @p301)) % 0.37/0.64 (step @p304 :rule reordering :premises (@p303) :args ((or @t183 @t188))) % 0.37/0.64 (step @p305 :rule chain_m_resolution :premises (@p304 @p289) :args (@t183 @t194 @t202)) % 0.37/0.64 (step @p306 :rule cnf_or_pos :args (@t203)) % 0.37/0.64 (step @p307 :rule reordering :premises (@p306) :args ((or @t187 @t185 @t184 (not @t203)))) % 0.37/0.64 (step @p308 false :rule chain_m_resolution :premises (@p307 @p305 @p299 @p297 @p296) :args (false (@list false true false false) (@list @t183 @t185 @t203 @t186))) % 0.37/0.64 ) % 0.37/0.64 % SZS output end Proof % 0.37/0.64 % cvc5 exiting %------------------------------------------------------------------------------