%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL865^1 : TPTP v9.3.1. Bugfixed v5.0.0. % 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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:04 AM UTC 2026 % Result : Theorem 0.63s 0.97s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL865^1 : TPTP v9.3.1. Bugfixed v5.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n003.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 03:42:35 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.46 %----Proving TH0 % 0.63/0.97 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.63/0.97 % SZS status Theorem % 0.63/0.97 % SZS output start Proof % 0.63/0.97 ( % 0.63/0.97 (declare-sort $$unsorted 0) % 0.63/0.97 (declare-sort tptp.mu 0) % 0.63/0.97 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.63/0.97 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.63/0.97 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.63/0.97 (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)))))) % 0.63/0.97 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.63/0.97 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.63/0.97 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.63/0.97 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.63/0.97 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.63/0.97 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.63/0.97 (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))))))) % 0.63/0.97 (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))))))) % 0.63/0.97 (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)))))) % 0.63/0.97 (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)))))) % 0.63/0.97 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.63/0.97 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.63/0.97 (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)))))) % 0.63/0.97 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.63/0.97 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.63/0.97 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.63/0.97 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.63/0.97 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.63/0.97 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.63/0.97 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.63/0.97 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.63/0.97 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.63/0.97 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.63/0.97 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.63/0.97 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.63/0.97 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.63/0.97 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.63/0.97 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.63/0.97 (define @t2 () (_ tptp.meuclidean @t1)) % 0.63/0.97 (define @t3 () (and (_ tptp.mserial @t1) (_ tptp.msymmetric @t1) @t2)) % 0.63/0.97 (define @t4 () (and (_ tptp.mreflexive @t1) @t2)) % 0.63/0.97 (define @t5 () (= @t4 @t3)) % 0.63/0.97 (define @t6 () (@list @t1)) % 0.63/0.97 (define @t7 () (forall @t6 @t5)) % 0.63/0.97 (define @t8 () (not @t7)) % 0.63/0.97 (define @t9 () (@var "Y" tptp.mu)) % 0.63/0.97 (define @t10 () (@var "X" tptp.mu)) % 0.63/0.97 (define @t11 () (@var "W" $$unsorted)) % 0.63/0.97 (define @t12 () (lambda (@list @t10 @t9 @t11) (= @t10 @t9))) % 0.63/0.97 (define @t13 () (@var "Y" (-> $$unsorted Bool))) % 0.63/0.97 (define @t14 () (@var "X" (-> $$unsorted Bool))) % 0.63/0.97 (define @t15 () (lambda (@list @t14 @t13 @t11) (= (_ @t14 @t11) (_ @t13 @t11)))) % 0.63/0.97 (define @t16 () (@var "Phi" (-> $$unsorted Bool))) % 0.63/0.97 (define @t17 () (_ @t16 @t11)) % 0.63/0.97 (define @t18 () (not @t17)) % 0.63/0.97 (define @t19 () (lambda (@list @t16 @t11) @t18)) % 0.63/0.97 (define @t20 () (@var "Psi" (-> $$unsorted Bool))) % 0.63/0.97 (define @t21 () (lambda (@list @t16 @t20 @t11) (or @t17 (_ @t20 @t11)))) % 0.63/0.97 (define @t22 () (@var "__flatten_var_0" $$unsorted)) % 0.63/0.97 (define @t23 () (_ tptp.mnot @t20)) % 0.63/0.97 (define @t24 () (_ tptp.mnot @t16)) % 0.63/0.97 (define @t25 () (_ tptp.mor @t24)) % 0.63/0.97 (define @t26 () (@list @t16 @t20 @t22)) % 0.63/0.97 (define @t27 () (lambda @t26 (_ (_ tptp.mnot (_ @t25 @t23)) @t22))) % 0.63/0.97 (define @t28 () (lambda @t26 (_ (_ @t25 @t20) @t22))) % 0.63/0.97 (define @t29 () (lambda @t26 (_ (_ (_ tptp.mor @t23) @t16) @t22))) % 0.63/0.97 (define @t30 () (lambda @t26 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t16) @t20)) (_ (_ tptp.mimplies @t20) @t16)) @t22))) % 0.63/0.97 (define @t31 () (lambda @t26 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t16) @t20)) @t22))) % 0.63/0.97 (define @t32 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.63/0.97 (define @t33 () (_ @t32 @t10)) % 0.63/0.97 (define @t34 () (lambda (@list @t32 @t11) (forall (@list @t10) (_ @t33 @t11)))) % 0.63/0.97 (define @t35 () (@var "P" (-> $$unsorted Bool))) % 0.63/0.97 (define @t36 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.63/0.97 (define @t37 () (_ @t36 @t35)) % 0.63/0.97 (define @t38 () (lambda (@list @t36 @t11) (forall (@list @t35) (_ @t37 @t11)))) % 0.63/0.97 (define @t39 () (lambda (@list @t32 @t22) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t10 @t22) (_ (_ tptp.mnot @t33) @t22)))) @t22))) % 0.63/0.97 (define @t40 () (lambda (@list @t36 @t22) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t35 @t22) (_ (_ tptp.mnot @t37) @t22)))) @t22))) % 0.63/0.97 (define @t41 () (@list @t11)) % 0.63/0.97 (define @t42 () (lambda @t41 true)) % 0.63/0.97 (define @t43 () (@var "V" $$unsorted)) % 0.63/0.97 (define @t44 () (@list @t43)) % 0.63/0.97 (define @t45 () (lambda (@list @t1 @t16 @t11) (forall @t44 (or (not (_ (_ @t1 @t11) @t43)) (_ @t16 @t43))))) % 0.63/0.97 (define @t46 () (lambda (@list @t1 @t16 @t22) (_ (_ tptp.mnot (_ (_ tptp.mbox @t1) @t24)) @t22))) % 0.63/0.97 (define @t47 () (@var "S" $$unsorted)) % 0.63/0.97 (define @t48 () (_ @t1 @t47)) % 0.63/0.97 (define @t49 () (_ @t48 @t47)) % 0.63/0.97 (define @t50 () (@list @t47)) % 0.63/0.97 (define @t51 () (forall @t50 @t49)) % 0.63/0.97 (define @t52 () (lambda @t6 @t51)) % 0.63/0.97 (define @t53 () (@var "T" $$unsorted)) % 0.63/0.97 (define @t54 () (_ @t1 @t53)) % 0.63/0.97 (define @t55 () (_ @t54 @t47)) % 0.63/0.97 (define @t56 () (_ @t48 @t53)) % 0.63/0.97 (define @t57 () (@list @t47 @t53)) % 0.63/0.97 (define @t58 () (forall @t57 (=> @t56 @t55))) % 0.63/0.97 (define @t59 () (lambda @t6 @t58)) % 0.63/0.97 (define @t60 () (@list @t53)) % 0.63/0.97 (define @t61 () (exists @t60 @t56)) % 0.63/0.97 (define @t62 () (forall @t50 @t61)) % 0.63/0.97 (define @t63 () (lambda @t6 @t62)) % 0.63/0.97 (define @t64 () (@var "U" $$unsorted)) % 0.63/0.97 (define @t65 () (_ @t48 @t64)) % 0.63/0.97 (define @t66 () (_ @t54 @t64)) % 0.63/0.97 (define @t67 () (@list @t47 @t53 @t64)) % 0.63/0.97 (define @t68 () (lambda @t6 (forall @t67 (=> (and @t56 @t66) @t65)))) % 0.63/0.97 (define @t69 () (and @t56 @t65)) % 0.63/0.97 (define @t70 () (forall @t67 (=> @t69 @t66))) % 0.63/0.97 (define @t71 () (lambda @t6 @t70)) % 0.63/0.97 (define @t72 () (= @t53 @t64)) % 0.63/0.97 (define @t73 () (lambda @t6 (forall @t67 (=> @t69 @t72)))) % 0.63/0.97 (define @t74 () (@list @t64)) % 0.63/0.97 (define @t75 () (lambda @t6 (forall @t50 (exists @t60 (and @t56 (forall @t74 (=> @t65 @t72))))))) % 0.63/0.97 (define @t76 () (_ @t1 @t64)) % 0.63/0.97 (define @t77 () (_ @t76 @t53)) % 0.63/0.97 (define @t78 () (lambda @t6 (forall @t67 (=> @t56 (exists @t74 (and @t65 @t77)))))) % 0.63/0.97 (define @t79 () (lambda @t6 (forall @t67 (=> @t69 (or @t66 @t72 @t77))))) % 0.63/0.97 (define @t80 () (lambda @t6 (forall @t67 (=> @t69 (exists @t44 (and (_ @t54 @t43) (_ @t76 @t43))))))) % 0.63/0.97 (define @t81 () (@list @t16)) % 0.63/0.97 (define @t82 () (lambda @t81 (forall @t41 @t17))) % 0.63/0.97 (define @t83 () (lambda @t81 (forall @t41 @t18))) % 0.63/0.97 (define @t84 () (lambda @t81 (exists @t41 @t17))) % 0.63/0.97 (define @t85 () (lambda @t81 (exists @t41 @t18))) % 0.63/0.97 (define @t86 () (_ @t1 @t53 @t64)) % 0.63/0.97 (define @t87 () (_ @t1 @t47 @t64)) % 0.63/0.97 (define @t88 () (_ @t1 @t47 @t53)) % 0.63/0.97 (define @t89 () (not @t88)) % 0.63/0.97 (define @t90 () (forall @t67 (or @t89 (not @t87) @t86))) % 0.63/0.97 (define @t91 () (_ @t1 @t47 @t47)) % 0.63/0.97 (define @t92 () (forall @t50 @t91)) % 0.63/0.97 (define @t93 () (_ @t1 @t53 @t47)) % 0.63/0.97 (define @t94 () (forall @t57 (or @t89 @t93))) % 0.63/0.97 (define @t95 () (forall @t50 (not (forall @t60 @t89)))) % 0.63/0.97 (define @t96 () (@quantifiers_skolemize (forall @t6 (= (and @t95 @t94 @t90) (and @t92 @t90))) 0)) % 0.63/0.97 (define @t97 () (not (_ @t96 @t47 @t53))) % 0.63/0.97 (define @t98 () (forall @t67 (or @t97 (not (_ @t96 @t47 @t64)) (_ @t96 @t53 @t64)))) % 0.63/0.97 (define @t99 () (forall @t57 (or @t97 (_ @t96 @t53 @t47)))) % 0.63/0.97 (define @t100 () (forall @t50 (not (forall @t60 @t97)))) % 0.63/0.97 (define @t101 () (and @t100 @t99 @t98)) % 0.63/0.97 (define @t102 () (not @t101)) % 0.63/0.97 (define @t103 () (forall @t50 (_ @t96 @t47 @t47))) % 0.63/0.97 (define @t104 () (and @t103 @t98)) % 0.63/0.97 (define @t105 () (not @t104)) % 0.63/0.97 (define @t106 () (_ (lambda @t6 @t90) @t1)) % 0.63/0.97 (define @t107 () (_ (lambda @t6 @t92) @t1)) % 0.63/0.97 (define @t108 () (and @t107 @t106)) % 0.63/0.97 (define @t109 () (_ (lambda @t6 @t94) @t1)) % 0.63/0.97 (define @t110 () (_ (lambda @t6 @t95) @t1)) % 0.63/0.97 (define @t111 () (and @t110 @t109 @t106)) % 0.63/0.97 (define @t112 () (forall @t6 (= @t108 @t111))) % 0.63/0.97 (define @t113 () (not @t65)) % 0.63/0.97 (define @t114 () (not @t56)) % 0.63/0.97 (define @t115 () (or @t114 @t113 @t66)) % 0.63/0.97 (define @t116 () (or @t114 @t55)) % 0.63/0.97 (define @t117 () (forall @t60 @t114)) % 0.63/0.97 (define @t118 () (not @t117)) % 0.63/0.97 (define @t119 () (= @t101 @t104)) % 0.63/0.97 (define @t120 () (@quantifiers_skolemize @t99 0)) % 0.63/0.97 (define @t121 () (@quantifiers_skolemize @t99 1)) % 0.63/0.97 (define @t122 () (_ @t96 @t121 @t120)) % 0.63/0.97 (define @t123 () (_ @t96 @t120 @t121)) % 0.63/0.97 (define @t124 () (not @t123)) % 0.63/0.97 (define @t125 () (or @t124 @t122)) % 0.63/0.97 (define @t126 () (not @t125)) % 0.63/0.97 (define @t127 () (not @t99)) % 0.63/0.97 (define @t128 () (_ @t96 @t120 @t120)) % 0.63/0.97 (define @t129 () (not @t128)) % 0.63/0.97 (define @t130 () (or @t124 @t129 @t122)) % 0.63/0.97 (define @t131 () (@quantifiers_skolemize @t103 0)) % 0.63/0.97 (define @t132 () (forall @t60 (not (_ @t96 @t131 @t53)))) % 0.63/0.97 (define @t133 () (@quantifiers_skolemize @t132 0)) % 0.63/0.97 (define @t134 () (_ @t96 @t133 @t131)) % 0.63/0.97 (define @t135 () (_ @t96 @t131 @t133)) % 0.63/0.97 (define @t136 () (not @t135)) % 0.63/0.97 (define @t137 () (or @t136 @t134)) % 0.63/0.97 (define @t138 () (not @t132)) % 0.63/0.97 (define @t139 () (not @t136)) % 0.63/0.97 (define @t140 () (not @t103)) % 0.63/0.98 (define @t141 () (not @t98)) % 0.63/0.98 (define @t142 () (_ @t96 @t131 @t131)) % 0.63/0.98 (define @t143 () (not @t142)) % 0.63/0.98 (define @t144 () (not @t134)) % 0.63/0.98 (define @t145 () (or @t144 @t144 @t142)) % 0.63/0.98 (define @t146 () (not @t100)) % 0.63/0.98 (define @t147 () (@list false false)) % 0.63/0.98 (define @t148 () (@quantifiers_skolemize @t100 0)) % 0.63/0.98 (define @t149 () (forall @t60 (not (_ @t96 @t148 @t53)))) % 0.63/0.98 (define @t150 () (not (not @t149))) % 0.63/0.98 (define @t151 () (@list true)) % 0.63/0.98 (define @t152 () (@list @t100)) % 0.63/0.98 (define @t153 () (@list false)) % 0.63/0.98 (define @t154 () (@list @t148)) % 0.63/0.98 (define @t155 () (_ @t96 @t148 @t148)) % 0.63/0.98 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.63/0.98 (assume @p2 @t8) % 0.63/0.98 (assume @p3 true) % 0.63/0.98 (step @p4 (= tptp.meq_ind @t12) :rule refl :args (@t12)) % 0.63/0.98 (step @p5 (= tptp.meq_prop @t15) :rule refl :args (@t15)) % 0.63/0.98 (step @p6 (= tptp.mnot @t19) :rule refl :args (@t19)) % 0.63/0.98 (step @p7 (= tptp.mor @t21) :rule refl :args (@t21)) % 0.63/0.98 (step @p8 (= tptp.mand @t27) :rule refl :args (@t27)) % 0.63/0.98 (step @p9 (= tptp.mimplies @t28) :rule refl :args (@t28)) % 0.63/0.98 (step @p10 (= tptp.mimplied @t29) :rule refl :args (@t29)) % 0.63/0.98 (step @p11 (= tptp.mequiv @t30) :rule refl :args (@t30)) % 0.63/0.98 (step @p12 (= tptp.mxor @t31) :rule refl :args (@t31)) % 0.63/0.98 (step @p13 (= tptp.mforall_ind @t34) :rule refl :args (@t34)) % 0.63/0.98 (step @p14 (= tptp.mforall_prop @t38) :rule refl :args (@t38)) % 0.63/0.98 (step @p15 (= tptp.mexists_ind @t39) :rule refl :args (@t39)) % 0.63/0.98 (step @p16 (= tptp.mexists_prop @t40) :rule refl :args (@t40)) % 0.63/0.98 (step @p17 (= tptp.mtrue @t42) :rule refl :args (@t42)) % 0.63/0.98 (step @p18 (= tptp.mbox @t45) :rule refl :args (@t45)) % 0.63/0.98 (step @p19 (= tptp.mdia @t46) :rule refl :args (@t46)) % 0.63/0.98 (step @p20 (= tptp.mreflexive @t52) :rule refl :args (@t52)) % 0.63/0.98 (step @p21 (= tptp.msymmetric @t59) :rule refl :args (@t59)) % 0.63/0.98 (step @p22 (= tptp.mserial @t63) :rule refl :args (@t63)) % 0.63/0.98 (step @p23 (= tptp.mtransitive @t68) :rule refl :args (@t68)) % 0.63/0.98 (step @p24 (= tptp.meuclidean @t71) :rule refl :args (@t71)) % 0.63/0.98 (step @p25 (= tptp.mpartially_functional @t73) :rule refl :args (@t73)) % 0.63/0.98 (step @p26 (= tptp.mfunctional @t75) :rule refl :args (@t75)) % 0.63/0.98 (step @p27 (= tptp.mweakly_dense @t78) :rule refl :args (@t78)) % 0.63/0.98 (step @p28 (= tptp.mweakly_connected @t79) :rule refl :args (@t79)) % 0.63/0.98 (step @p29 (= tptp.mweakly_directed @t80) :rule refl :args (@t80)) % 0.63/0.98 (step @p30 (= tptp.mvalid @t82) :rule refl :args (@t82)) % 0.63/0.98 (step @p31 (= tptp.minvalid @t83) :rule refl :args (@t83)) % 0.63/0.98 (step @p32 (= tptp.msatisfiable @t84) :rule refl :args (@t84)) % 0.63/0.98 (step @p33 (= tptp.mcountersatisfiable @t85) :rule refl :args (@t85)) % 0.63/0.98 (step @p34 :rule cnf_and_pos :args (@t101 2)) % 0.63/0.98 (step @p35 :rule reordering :premises (@p34) :args ((or @t98 @t102))) % 0.63/0.98 (step @p36 :rule cnf_and_pos :args (@t104 1)) % 0.63/0.98 (step @p37 :rule reordering :premises (@p36) :args ((or @t98 @t105))) % 0.63/0.98 (step @p38 :rule beta-reduce :args ((= @t106 @t90))) % 0.63/0.98 (step @p39 :rule beta-reduce :args ((= @t107 @t92))) % 0.63/0.98 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t108)) % 0.63/0.98 (step @p41 :rule beta-reduce :args ((= @t109 @t94))) % 0.63/0.98 (step @p42 :rule beta-reduce :args ((= @t110 @t95))) % 0.63/0.98 (step @p43 :rule nary_cong :premises (@p42 @p41 @p38) :args (@t111)) % 0.63/0.98 (step @p44 :rule cong :premises (@p43 @p40) :args ((= @t111 @t108))) % 0.63/0.98 (step @p45 :rule eq-symm :args (@t108 @t111)) % 0.63/0.98 (step @p46 :rule trans :premises (@p45 @p44)) % 0.63/0.98 (step @p47 :rule cong :premises (@p46) :args (@t112)) % 0.63/0.98 (step @p48 :rule cong :premises (@p47) :args ((not @t112))) % 0.63/0.98 (step @p49 :rule refl :args (@t1)) % 0.63/0.98 (step @p50 :rule refl :args (@t86)) % 0.63/0.98 (step @p51 :rule refl :args (@t66)) % 0.63/0.98 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t66 @t86))) % 0.63/0.98 (step @p53 :rule symm :premises (@p52)) % 0.63/0.98 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.63/0.98 (step @p55 :rule refl :args (@t87)) % 0.63/0.98 (step @p56 :rule refl :args (@t65)) % 0.63/0.98 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t65 @t87))) % 0.63/0.98 (step @p58 :rule symm :premises (@p57)) % 0.63/0.98 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.63/0.98 (step @p60 :rule cong :premises (@p59) :args (@t113)) % 0.63/0.98 (step @p61 :rule refl :args (@t88)) % 0.63/0.98 (step @p62 :rule refl :args (@t56)) % 0.63/0.98 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t56 @t88))) % 0.63/0.98 (step @p64 :rule symm :premises (@p63)) % 0.63/0.98 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.63/0.98 (step @p66 :rule cong :premises (@p65) :args (@t114)) % 0.63/0.98 (step @p67 :rule nary_cong :premises (@p66 @p60 @p54) :args (@t115)) % 0.63/0.98 (step @p68 :rule cong :premises (@p67) :args ((forall @t67 @t115))) % 0.63/0.98 (step @p69 :rule aci_norm :args ((= (or (or @t114 @t113) @t66) @t115))) % 0.63/0.98 (step @p70 :rule bool-and-de-morgan :args (@t56 @t65 true)) % 0.63/0.98 (step @p71 :rule nary_cong :premises (@p70 @p51) :args ((or (not @t69) @t66))) % 0.63/0.98 (step @p72 :rule trans :premises (@p71 @p69)) % 0.63/0.98 (step @p73 :rule bool-impl-elim :args (@t69 @t66)) % 0.63/0.98 (step @p74 :rule trans :premises (@p73 @p72)) % 0.63/0.98 (step @p75 :rule cong :premises (@p74) :args (@t70)) % 0.63/0.98 (step @p76 :rule trans :premises (@p75 @p68)) % 0.63/0.98 (step @p77 :rule cong :premises (@p76) :args (@t71)) % 0.63/0.98 (step @p78 :rule trans :premises (@p24 @p77)) % 0.63/0.98 (step @p79 :rule ho_cong :premises (@p78 @p49)) % 0.63/0.98 (step @p80 :rule refl :args (@t93)) % 0.63/0.98 (step @p81 :rule refl :args (@t55)) % 0.63/0.98 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t55 @t93))) % 0.63/0.98 (step @p83 :rule symm :premises (@p82)) % 0.63/0.98 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.63/0.98 (step @p85 :rule nary_cong :premises (@p66 @p84) :args (@t116)) % 0.63/0.98 (step @p86 :rule cong :premises (@p85) :args ((forall @t57 @t116))) % 0.63/0.98 (step @p87 :rule bool-impl-elim :args (@t56 @t55)) % 0.63/0.98 (step @p88 :rule cong :premises (@p87) :args (@t58)) % 0.63/0.98 (step @p89 :rule trans :premises (@p88 @p86)) % 0.63/0.98 (step @p90 :rule cong :premises (@p89) :args (@t59)) % 0.63/0.98 (step @p91 :rule trans :premises (@p21 @p90)) % 0.63/0.98 (step @p92 :rule ho_cong :premises (@p91 @p49)) % 0.63/0.98 (step @p93 :rule cong :premises (@p66) :args (@t117)) % 0.63/0.98 (step @p94 :rule cong :premises (@p93) :args (@t118)) % 0.63/0.98 (step @p95 :rule exists-elim :args ((= @t61 @t118))) % 0.63/0.98 (step @p96 :rule trans :premises (@p95 @p94)) % 0.63/0.98 (step @p97 :rule cong :premises (@p96) :args (@t62)) % 0.63/0.98 (step @p98 :rule cong :premises (@p97) :args (@t63)) % 0.63/0.98 (step @p99 :rule trans :premises (@p22 @p98)) % 0.63/0.98 (step @p100 :rule ho_cong :premises (@p99 @p49)) % 0.63/0.98 (step @p101 :rule nary_cong :premises (@p100 @p92 @p79) :args (@t3)) % 0.63/0.98 (step @p102 :rule refl :args (@t91)) % 0.63/0.98 (step @p103 :rule refl :args (@t49)) % 0.63/0.98 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t49 @t91))) % 0.63/0.98 (step @p105 :rule symm :premises (@p104)) % 0.63/0.98 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.63/0.98 (step @p107 :rule cong :premises (@p106) :args (@t51)) % 0.63/0.98 (step @p108 :rule cong :premises (@p107) :args (@t52)) % 0.63/0.98 (step @p109 :rule trans :premises (@p20 @p108)) % 0.63/0.98 (step @p110 :rule ho_cong :premises (@p109 @p49)) % 0.63/0.98 (step @p111 :rule nary_cong :premises (@p110 @p79) :args (@t4)) % 0.63/0.98 (step @p112 :rule cong :premises (@p111 @p101) :args (@t5)) % 0.63/0.98 (step @p113 :rule cong :premises (@p112) :args (@t7)) % 0.63/0.98 (step @p114 :rule cong :premises (@p113) :args (@t8)) % 0.63/0.98 (step @p115 :rule trans :premises (@p114 @p48)) % 0.63/0.98 (step @p116 :rule eq_resolve :premises (@p2 @p115)) % 0.63/0.98 (step @p117 :rule skolemize :premises (@p116)) % 0.63/0.98 (step @p118 :rule cnf_equiv_neg1 :args (@t119)) % 0.63/0.98 (step @p119 :rule reordering :premises (@p118) :args ((or @t101 @t104 @t119))) % 0.63/0.98 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p37 @p35) :args (@t98 (@list true true true) (@list @t119 @t104 @t101))) % 0.63/0.98 (step @p121 :rule cnf_and_pos :args (@t101 1)) % 0.63/0.98 (step @p122 :rule reordering :premises (@p121) :args ((or @t99 @t102))) % 0.63/0.98 (step @p123 :rule refl :args (@t126)) % 0.63/0.98 (step @p124 :rule bool-double-not-elim :args (@t99)) % 0.63/0.98 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t127) @t126))) % 0.63/0.98 (assume-push @p229 @t127) % 0.63/0.98 (step @p127 :rule skolemize :premises (@p229)) % 0.63/0.98 (step-pop @p230 :rule scope :premises (@p127)) % 0.63/0.98 (step @p128 :rule process_scope :premises (@p230) :args (@t126)) % 0.63/0.98 (step @p130 :rule implies_elim :premises (@p128)) % 0.63/0.98 (step @p131 :rule eq_resolve :premises (@p130 @p125)) % 0.63/0.98 (step @p132 :rule bool-double-not-elim :args (@t123)) % 0.63/0.98 (step @p133 :rule refl :args (@t125)) % 0.63/0.98 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t125 (not @t124)))) % 0.63/0.98 (step @p135 :rule cnf_or_neg :args (@t125 0)) % 0.63/0.98 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.63/0.98 (step @p137 :rule reordering :premises (@p136) :args ((or @t123 @t125))) % 0.63/0.98 (step @p138 :rule cnf_or_neg :args (@t125 1)) % 0.63/0.98 (step @p139 :rule cnf_and_pos :args (@t104 0)) % 0.63/0.98 (step @p140 :rule reordering :premises (@p139) :args ((or @t103 @t105))) % 0.63/0.98 (step @p141 :rule instantiate :premises (@p120) :args ((@list @t120 @t121 @t120))) % 0.63/0.98 (step @p142 :rule cnf_or_pos :args (@t130)) % 0.63/0.98 (step @p143 :rule reordering :premises (@p142) :args ((or @t124 @t122 @t129 (not @t130)))) % 0.63/0.98 (assume-push @p231 @t103) % 0.63/0.98 (step @p145 :rule instantiate :premises (@p231) :args ((@list @t120))) % 0.63/0.98 (step-pop @p232 :rule scope :premises (@p145)) % 0.63/0.98 (step @p146 :rule process_scope :premises (@p232) :args (@t128)) % 0.63/0.98 (step @p148 :rule implies_elim :premises (@p146)) % 0.63/0.98 (step @p149 :rule chain_m_resolution :premises (@p148 @p143 @p141 @p140 @p138 @p137 @p119 @p117 @p131 @p122) :args (@t99 (@list true false false true false false true true true) (@list @t128 @t130 @t103 @t122 @t123 @t104 @t119 @t125 @t101))) % 0.63/0.98 (assume-push @p233 @t99) % 0.63/0.98 (step @p151 :rule instantiate :premises (@p233) :args ((@list @t131 @t133))) % 0.63/0.98 (step-pop @p234 :rule scope :premises (@p151)) % 0.63/0.98 (step @p152 :rule process_scope :premises (@p234) :args (@t137)) % 0.63/0.98 (step @p154 :rule implies_elim :premises (@p152)) % 0.63/0.98 (assume-push @p235 @t100) % 0.63/0.98 (step @p156 :rule instantiate :premises (@p235) :args ((@list @t131))) % 0.63/0.98 (step-pop @p236 :rule scope :premises (@p156)) % 0.63/0.98 (step @p157 :rule process_scope :premises (@p236) :args (@t138)) % 0.63/0.98 (step @p159 :rule implies_elim :premises (@p157)) % 0.63/0.98 (step @p160 :rule refl :args (@t135)) % 0.63/0.98 (step @p161 :rule bool-double-not-elim :args (@t132)) % 0.63/0.98 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or (not @t138) @t135))) % 0.63/0.98 (step @p163 :rule bool-double-not-elim :args (@t135)) % 0.63/0.98 (step @p164 :rule refl :args (@t138)) % 0.63/0.98 (step @p165 :rule cong :premises (@p164 @p163) :args ((=> @t138 @t139))) % 0.63/0.98 (assume-push @p237 @t138) % 0.63/0.98 (step @p167 :rule skolemize :premises (@p237)) % 0.63/0.98 (step-pop @p238 :rule scope :premises (@p167)) % 0.63/0.98 (step @p168 :rule process_scope :premises (@p238) :args (@t139)) % 0.63/0.98 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 0.63/0.98 (step @p171 :rule implies_elim :premises (@p170)) % 0.63/0.98 (step @p172 :rule eq_resolve :premises (@p171 @p162)) % 0.63/0.98 (step @p173 :rule cnf_or_pos :args (@t137)) % 0.63/0.98 (step @p174 :rule reordering :premises (@p173) :args ((or @t136 @t134 (not @t137)))) % 0.63/0.98 (step @p175 :rule cnf_and_neg :args (@t101)) % 0.63/0.98 (step @p176 :rule cnf_equiv_neg2 :args (@t119)) % 0.63/0.98 (step @p177 :rule cnf_and_neg :args (@t104)) % 0.63/0.98 (step @p178 :rule reordering :premises (@p177) :args ((or @t104 @t141 @t140))) % 0.63/0.98 (step @p179 :rule refl :args (@t143)) % 0.63/0.98 (step @p180 :rule bool-double-not-elim :args (@t103)) % 0.63/0.98 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or (not @t140) @t143))) % 0.63/0.98 (assume-push @p239 @t140) % 0.63/0.98 (step @p183 :rule skolemize :premises (@p239)) % 0.63/0.98 (step-pop @p240 :rule scope :premises (@p183)) % 0.63/0.98 (step @p184 :rule process_scope :premises (@p240) :args (@t143)) % 0.63/0.98 (step @p186 :rule implies_elim :premises (@p184)) % 0.63/0.98 (step @p187 :rule eq_resolve :premises (@p186 @p181)) % 0.63/0.98 (step @p188 :rule cnf_or_pos :args (@t145)) % 0.63/0.98 (step @p189 :rule factoring :premises (@p188)) % 0.63/0.98 (step @p190 :rule reordering :premises (@p189) :args ((or @t142 @t144 (not @t145)))) % 0.63/0.98 (assume-push @p241 @t98) % 0.63/0.98 (step @p192 :rule instantiate :premises (@p120) :args ((@list @t133 @t131 @t131))) % 0.63/0.98 (step-pop @p242 :rule scope :premises (@p192)) % 0.63/0.98 (step @p193 :rule process_scope :premises (@p242) :args (@t145)) % 0.63/0.98 (step @p195 :rule implies_elim :premises (@p193)) % 0.63/0.98 (step @p196 :rule chain_m_resolution :premises (@p195 @p190 @p187 @p178 @p176 @p117 @p175 @p174 @p172 @p159 @p154) :args ((or @t146 @t127 @t141) (@list true true true true true false false false true false) (@list @t145 @t142 @t103 @t104 @t119 @t101 @t134 @t135 @t132 @t137))) % 0.63/0.98 (step @p197 :rule chain_m_resolution :premises (@p196 @p149 @p120) :args (@t146 @t147 (@list @t99 @t98))) % 0.63/0.98 (step @p198 :rule refl :args (@t149)) % 0.63/0.98 (step @p199 :rule bool-double-not-elim :args (@t100)) % 0.63/0.98 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or (not @t146) @t149))) % 0.63/0.98 (step @p201 :rule bool-double-not-elim :args (@t149)) % 0.63/0.98 (step @p202 :rule refl :args (@t146)) % 0.63/0.98 (step @p203 :rule cong :premises (@p202 @p201) :args ((=> @t146 @t150))) % 0.63/0.98 (assume-push @p243 @t146) % 0.63/0.98 (step @p205 :rule skolemize :premises (@p243)) % 0.63/0.98 (step-pop @p244 :rule scope :premises (@p205)) % 0.63/0.98 (step @p206 :rule process_scope :premises (@p244) :args (@t150)) % 0.63/0.98 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 0.63/0.98 (step @p209 :rule implies_elim :premises (@p208)) % 0.63/0.98 (step @p210 :rule eq_resolve :premises (@p209 @p200)) % 0.63/0.98 (step @p211 :rule chain_m_resolution :premises (@p210 @p197) :args (@t149 @t151 @t152)) % 0.63/0.98 (step @p212 :rule cnf_and_pos :args (@t101 0)) % 0.63/0.98 (step @p213 :rule reordering :premises (@p212) :args ((or @t100 @t102))) % 0.63/0.98 (step @p214 :rule chain_m_resolution :premises (@p213 @p197) :args (@t102 @t151 @t152)) % 0.63/0.98 (step @p215 :rule chain_m_resolution :premises (@p119 @p214 @p117) :args (@t104 (@list true true) (@list @t101 @t119))) % 0.63/0.98 (step @p216 :rule chain_m_resolution :premises (@p140 @p215) :args (@t103 @t153 (@list @t104))) % 0.63/0.98 (assume-push @p245 @t103) % 0.63/0.98 (step @p218 :rule instantiate :premises (@p245) :args (@t154)) % 0.63/0.98 (step-pop @p246 :rule scope :premises (@p218)) % 0.63/0.98 (step @p219 :rule process_scope :premises (@p246) :args (@t155)) % 0.63/0.98 (step @p221 :rule implies_elim :premises (@p219)) % 0.63/0.98 (step @p222 :rule chain_m_resolution :premises (@p221 @p216) :args (@t155 @t153 (@list @t103))) % 0.63/0.98 (assume-push @p247 @t149) % 0.63/0.98 (step @p224 :rule instantiate :premises (@p247) :args (@t154)) % 0.63/0.98 (step-pop @p248 :rule scope :premises (@p224)) % 0.63/0.98 (step @p225 :rule process_scope :premises (@p248) :args ((not @t155))) % 0.63/0.98 (step @p227 :rule implies_elim :premises (@p225)) % 0.63/0.98 (step @p228 false :rule chain_m_resolution :premises (@p227 @p222 @p211) :args (false @t147 (@list @t155 @t149))) % 0.63/0.98 ) % 0.63/0.98 % SZS output end Proof % 0.63/0.98 % cvc5 exiting %------------------------------------------------------------------------------