%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG015^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:16:00 AM UTC 2026 % Result : Theorem 0.37s 0.69s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GEG015^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 23:03:17 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.52 %----Proving TH0 % 0.37/0.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.69 % SZS status Theorem % 0.37/0.69 % SZS output start Proof % 0.37/0.69 ( % 0.37/0.69 (declare-sort tptp.reg 0) % 0.37/0.69 (declare-sort $$unsorted 0) % 0.37/0.69 (declare-sort tptp.mu 0) % 0.37/0.69 (declare-const tptp.c (-> tptp.reg tptp.reg Bool)) % 0.37/0.69 (declare-const tptp.france tptp.reg) % 0.37/0.69 (declare-const tptp.catalunya tptp.reg) % 0.37/0.69 (declare-const tptp.a (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.spain tptp.reg) % 0.37/0.69 (declare-const tptp.fool (-> $$unsorted $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.69 (declare-const tptp.paris tptp.reg) % 0.37/0.69 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.69 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.69 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.37/0.69 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.69 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.69 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.69 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.69 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.37/0.69 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1)))))) % 0.37/0.69 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.69 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.69 (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.69 (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1)))))) % 0.37/0.69 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.69 (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 0.37/0.69 (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1)))))) % 0.37/0.69 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.69 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.69 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.69 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 0.37/0.69 (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.69 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1)))))))))) % 0.37/0.69 (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.37/0.69 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 0.37/0.69 (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.37/0.69 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.37/0.69 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.69 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.69 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.69 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.69 (define tptp.dc () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "X" tptp.reg))) (lambda (@list _let_2 _let_1) (not (_ (_ tptp.c _let_2) _let_1)))))) % 0.37/0.69 (define tptp.p () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.c _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.37/0.69 (define tptp.eq () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.p _let_1) _let_2) (_ (_ tptp.p _let_2) _let_1)))))) % 0.37/0.69 (define tptp.o () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.p _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.37/0.69 (define tptp.po () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.o _let_1) _let_2) (not (_ (_ tptp.p _let_1) _let_2)) (not (_ (_ tptp.p _let_2) _let_1))))))) % 0.37/0.69 (define tptp.ec () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "X" tptp.reg))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.c _let_2) _let_1) (not (_ (_ tptp.o _let_2) _let_1))))))) % 0.37/0.69 (define tptp.pp () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.p _let_1) _let_2) (not (_ (_ tptp.p _let_2) _let_1))))))) % 0.37/0.69 (define tptp.tpp () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.ec _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (and (_ (_ tptp.pp _let_4) _let_1) (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))) % 0.37/0.69 (define tptp.ntpp () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.ec _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (and (_ (_ tptp.pp _let_4) _let_1) (not (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1))))))))))) % 0.37/0.69 (define @t1 () (@var "X" tptp.reg)) % 0.37/0.69 (define @t2 () (_ tptp.c @t1)) % 0.37/0.69 (define @t3 () (@var "Y" tptp.reg)) % 0.37/0.69 (define @t4 () (_ @t2 @t3)) % 0.37/0.69 (define @t5 () (@list @t1 @t3)) % 0.37/0.69 (define @t6 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.69 (define @t7 () (@var "A" (-> $$unsorted Bool))) % 0.37/0.69 (define @t8 () (_ tptp.mbox tptp.fool)) % 0.37/0.69 (define @t9 () (_ @t8 @t7)) % 0.37/0.69 (define @t10 () (_ tptp.mimplies @t9)) % 0.37/0.69 (define @t11 () (@list @t7 @t6)) % 0.37/0.69 (define @t12 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.69 (define @t13 () (_ tptp.mbox tptp.a)) % 0.37/0.69 (define @t14 () (@list (@var "X" $$unsorted))) % 0.37/0.69 (define @t15 () (lambda @t14 (_ (_ tptp.ntpp tptp.paris) tptp.france))) % 0.37/0.69 (define @t16 () (_ tptp.p @t3)) % 0.37/0.69 (define @t17 () (@var "Z" tptp.reg)) % 0.37/0.69 (define @t18 () (_ tptp.p @t17)) % 0.37/0.69 (define @t19 () (not (_ (_ tptp.eq @t17) @t3))) % 0.37/0.69 (define @t20 () (and @t19 (_ @t18 tptp.france) (_ @t16 tptp.france))) % 0.37/0.69 (define @t21 () (@list @t17 @t3)) % 0.37/0.69 (define @t22 () (exists @t21 @t20)) % 0.37/0.69 (define @t23 () (lambda @t14 @t22)) % 0.37/0.69 (define @t24 () (not (_ tptp.mvalid (_ @t13 @t23)))) % 0.37/0.69 (define @t25 () (@var "Y" tptp.mu)) % 0.37/0.69 (define @t26 () (@var "X" tptp.mu)) % 0.37/0.69 (define @t27 () (@var "W" $$unsorted)) % 0.37/0.69 (define @t28 () (lambda (@list @t26 @t25 @t27) (= @t26 @t25))) % 0.37/0.69 (define @t29 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.69 (define @t30 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.69 (define @t31 () (lambda (@list @t30 @t29 @t27) (= (_ @t30 @t27) (_ @t29 @t27)))) % 0.37/0.69 (define @t32 () (_ @t12 @t27)) % 0.37/0.69 (define @t33 () (not @t32)) % 0.37/0.69 (define @t34 () (@list @t12 @t27)) % 0.37/0.69 (define @t35 () (lambda @t34 @t33)) % 0.37/0.69 (define @t36 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.69 (define @t37 () (lambda (@list @t12 @t36 @t27) (or @t32 (_ @t36 @t27)))) % 0.37/0.69 (define @t38 () (_ tptp.mnot @t36)) % 0.37/0.69 (define @t39 () (_ tptp.mnot @t12)) % 0.37/0.69 (define @t40 () (_ tptp.mor @t39)) % 0.37/0.69 (define @t41 () (@list @t12 @t36 @t6)) % 0.37/0.69 (define @t42 () (lambda @t41 (_ (_ tptp.mnot (_ @t40 @t38)) @t6))) % 0.37/0.69 (define @t43 () (lambda @t41 (_ (_ @t40 @t36) @t6))) % 0.37/0.69 (define @t44 () (lambda @t41 (_ (_ (_ tptp.mor @t38) @t12) @t6))) % 0.37/0.69 (define @t45 () (lambda @t41 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t12) @t36)) (_ (_ tptp.mimplies @t36) @t12)) @t6))) % 0.37/0.69 (define @t46 () (lambda @t41 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t12) @t36)) @t6))) % 0.37/0.69 (define @t47 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.69 (define @t48 () (_ @t47 @t26)) % 0.37/0.69 (define @t49 () (lambda (@list @t47 @t27) (forall (@list @t26) (_ @t48 @t27)))) % 0.37/0.69 (define @t50 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.69 (define @t51 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.69 (define @t52 () (_ @t51 @t50)) % 0.37/0.69 (define @t53 () (lambda (@list @t51 @t27) (forall (@list @t50) (_ @t52 @t27)))) % 0.37/0.69 (define @t54 () (lambda (@list @t47 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t26 @t6) (_ (_ tptp.mnot @t48) @t6)))) @t6))) % 0.37/0.69 (define @t55 () (lambda (@list @t51 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t50 @t6) (_ (_ tptp.mnot @t52) @t6)))) @t6))) % 0.37/0.69 (define @t56 () (@list @t27)) % 0.37/0.69 (define @t57 () (lambda @t56 true)) % 0.37/0.69 (define @t58 () (@var "V" $$unsorted)) % 0.37/0.69 (define @t59 () (_ @t12 @t58)) % 0.37/0.69 (define @t60 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.69 (define @t61 () (_ (_ @t60 @t27) @t58)) % 0.37/0.69 (define @t62 () (not @t61)) % 0.37/0.69 (define @t63 () (or @t62 @t59)) % 0.37/0.69 (define @t64 () (@list @t58)) % 0.37/0.69 (define @t65 () (forall @t64 @t63)) % 0.37/0.69 (define @t66 () (@list @t60 @t12 @t27)) % 0.37/0.69 (define @t67 () (lambda @t66 @t65)) % 0.37/0.69 (define @t68 () (lambda (@list @t60 @t12 @t6) (_ (_ tptp.mnot (_ (_ tptp.mbox @t60) @t39)) @t6))) % 0.37/0.69 (define @t69 () (@var "S" $$unsorted)) % 0.37/0.69 (define @t70 () (_ @t60 @t69)) % 0.37/0.69 (define @t71 () (@list @t69)) % 0.37/0.69 (define @t72 () (@list @t60)) % 0.37/0.69 (define @t73 () (lambda @t72 (forall @t71 (_ @t70 @t69)))) % 0.37/0.69 (define @t74 () (@var "T" $$unsorted)) % 0.37/0.69 (define @t75 () (_ @t60 @t74)) % 0.37/0.69 (define @t76 () (_ @t70 @t74)) % 0.37/0.69 (define @t77 () (lambda @t72 (forall (@list @t69 @t74) (=> @t76 (_ @t75 @t69))))) % 0.37/0.69 (define @t78 () (@list @t74)) % 0.37/0.69 (define @t79 () (lambda @t72 (forall @t71 (exists @t78 @t76)))) % 0.37/0.69 (define @t80 () (@var "U" $$unsorted)) % 0.37/0.69 (define @t81 () (_ @t70 @t80)) % 0.37/0.69 (define @t82 () (_ @t75 @t80)) % 0.37/0.69 (define @t83 () (@list @t69 @t74 @t80)) % 0.37/0.69 (define @t84 () (lambda @t72 (forall @t83 (=> (and @t76 @t82) @t81)))) % 0.37/0.69 (define @t85 () (and @t76 @t81)) % 0.37/0.69 (define @t86 () (lambda @t72 (forall @t83 (=> @t85 @t82)))) % 0.37/0.69 (define @t87 () (= @t74 @t80)) % 0.37/0.69 (define @t88 () (lambda @t72 (forall @t83 (=> @t85 @t87)))) % 0.37/0.69 (define @t89 () (@list @t80)) % 0.37/0.69 (define @t90 () (lambda @t72 (forall @t71 (exists @t78 (and @t76 (forall @t89 (=> @t81 @t87))))))) % 0.37/0.69 (define @t91 () (_ @t60 @t80)) % 0.37/0.69 (define @t92 () (_ @t91 @t74)) % 0.37/0.69 (define @t93 () (lambda @t72 (forall @t83 (=> @t76 (exists @t89 (and @t81 @t92)))))) % 0.37/0.69 (define @t94 () (lambda @t72 (forall @t83 (=> @t85 (or @t82 @t87 @t92))))) % 0.37/0.69 (define @t95 () (lambda @t72 (forall @t83 (=> @t85 (exists @t64 (and (_ @t75 @t58) (_ @t91 @t58))))))) % 0.37/0.69 (define @t96 () (forall @t56 @t32)) % 0.37/0.69 (define @t97 () (@list @t12)) % 0.37/0.69 (define @t98 () (lambda @t97 @t96)) % 0.37/0.69 (define @t99 () (lambda @t97 (forall @t56 @t33))) % 0.37/0.69 (define @t100 () (lambda @t97 (exists @t56 @t32))) % 0.37/0.69 (define @t101 () (lambda @t97 (exists @t56 @t33))) % 0.37/0.69 (define @t102 () (lambda @t5 (not @t4))) % 0.37/0.69 (define @t103 () (_ tptp.c @t17)) % 0.37/0.69 (define @t104 () (_ @t103 @t3)) % 0.37/0.69 (define @t105 () (_ @t103 @t1)) % 0.37/0.69 (define @t106 () (@list @t17)) % 0.37/0.69 (define @t107 () (forall @t106 (=> @t105 @t104))) % 0.37/0.69 (define @t108 () (lambda @t5 @t107)) % 0.37/0.69 (define @t109 () (_ @t16 @t1)) % 0.37/0.69 (define @t110 () (_ (_ tptp.p @t1) @t3)) % 0.37/0.69 (define @t111 () (and @t110 @t109)) % 0.37/0.69 (define @t112 () (lambda @t5 @t111)) % 0.37/0.69 (define @t113 () (and (_ @t18 @t1) (_ @t18 @t3))) % 0.37/0.69 (define @t114 () (exists @t106 @t113)) % 0.37/0.69 (define @t115 () (lambda @t5 @t114)) % 0.37/0.69 (define @t116 () (not @t109)) % 0.37/0.69 (define @t117 () (_ (_ tptp.o @t1) @t3)) % 0.37/0.69 (define @t118 () (lambda @t5 (and @t117 (not @t110) @t116))) % 0.37/0.69 (define @t119 () (not @t117)) % 0.37/0.69 (define @t120 () (and @t4 @t119)) % 0.37/0.69 (define @t121 () (lambda @t5 @t120)) % 0.37/0.69 (define @t122 () (and @t110 @t116)) % 0.37/0.69 (define @t123 () (lambda @t5 @t122)) % 0.37/0.69 (define @t124 () (_ tptp.ec @t17)) % 0.37/0.69 (define @t125 () (and (_ @t124 @t1) (_ @t124 @t3))) % 0.37/0.69 (define @t126 () (exists @t106 @t125)) % 0.37/0.69 (define @t127 () (_ (_ tptp.pp @t1) @t3)) % 0.37/0.69 (define @t128 () (lambda @t5 (and @t127 @t126))) % 0.37/0.69 (define @t129 () (not @t126)) % 0.37/0.69 (define @t130 () (and @t127 @t129)) % 0.37/0.69 (define @t131 () (lambda @t5 @t130)) % 0.37/0.69 (define @t132 () (not (tptp.a @t27 @t58))) % 0.37/0.69 (define @t133 () (forall (@list @t27 @t58) @t132)) % 0.37/0.69 (define @t134 () (forall @t64 @t132)) % 0.37/0.69 (define @t135 () (forall @t56 @t134)) % 0.37/0.69 (define @t136 () (@var "BOUND_VARIABLE_9140" tptp.reg)) % 0.37/0.69 (define @t137 () (tptp.c @t136 tptp.france)) % 0.37/0.69 (define @t138 () (@list @t136)) % 0.37/0.69 (define @t139 () (forall @t138 (or (not (tptp.c @t136 @t3)) @t137))) % 0.37/0.69 (define @t140 () (not @t139)) % 0.37/0.69 (define @t141 () (@var "BOUND_VARIABLE_8327" tptp.reg)) % 0.37/0.69 (define @t142 () (tptp.c @t141 tptp.france)) % 0.37/0.69 (define @t143 () (tptp.c @t141 @t17)) % 0.37/0.69 (define @t144 () (not @t143)) % 0.37/0.69 (define @t145 () (@list @t141)) % 0.37/0.69 (define @t146 () (forall @t145 (or @t144 @t142))) % 0.37/0.69 (define @t147 () (not @t146)) % 0.37/0.69 (define @t148 () (@var "BOUND_VARIABLE_9160" tptp.reg)) % 0.37/0.69 (define @t149 () (or (not (tptp.c @t148 @t3)) (tptp.c @t148 @t17))) % 0.37/0.69 (define @t150 () (@var "BOUND_VARIABLE_9154" tptp.reg)) % 0.37/0.69 (define @t151 () (or (not (tptp.c @t150 @t17)) (tptp.c @t150 @t3))) % 0.37/0.69 (define @t152 () (and @t151 @t149)) % 0.37/0.69 (define @t153 () (or @t152 @t147 @t140)) % 0.37/0.69 (define @t154 () (forall (@list @t17 @t3 @t150 @t148) @t153)) % 0.37/0.69 (define @t155 () (not @t154)) % 0.37/0.69 (define @t156 () (or @t155 @t135)) % 0.37/0.69 (define @t157 () (or @t155 @t134)) % 0.37/0.69 (define @t158 () (lambda @t56 @t157)) % 0.37/0.69 (define @t159 () (_ @t158 @t27)) % 0.37/0.69 (define @t160 () (forall @t56 @t159)) % 0.37/0.69 (define @t161 () (_ @t12 @t27)) % 0.37/0.69 (define @t162 () (lambda @t97 (forall @t56 @t161))) % 0.37/0.69 (define @t163 () (or @t155 @t132)) % 0.37/0.69 (define @t164 () (or @t132 @t155)) % 0.37/0.69 (define @t165 () (lambda @t14 @t155)) % 0.37/0.69 (define @t166 () (_ @t165 @t58)) % 0.37/0.69 (define @t167 () (or @t132 @t166)) % 0.37/0.69 (define @t168 () (forall @t64 @t167)) % 0.37/0.69 (define @t169 () (lambda @t56 @t168)) % 0.37/0.69 (define @t170 () (_ @t12 @t58)) % 0.37/0.69 (define @t171 () (lambda @t34 (forall @t64 (or @t132 @t170)))) % 0.37/0.69 (define @t172 () (@list @t150 @t148)) % 0.37/0.69 (define @t173 () (forall @t172 @t153)) % 0.37/0.69 (define @t174 () (forall (@list @t148) @t149)) % 0.37/0.69 (define @t175 () (@var "BOUND_VARIABLE_9100" tptp.reg)) % 0.37/0.69 (define @t176 () (@list @t175)) % 0.37/0.69 (define @t177 () (forall @t172 @t149)) % 0.37/0.69 (define @t178 () (forall (@list @t150) @t151)) % 0.37/0.69 (define @t179 () (@var "BOUND_VARIABLE_9108" tptp.reg)) % 0.37/0.69 (define @t180 () (@list @t179)) % 0.37/0.69 (define @t181 () (forall @t172 @t151)) % 0.37/0.69 (define @t182 () (and @t181 @t177)) % 0.37/0.69 (define @t183 () (forall @t172 @t152)) % 0.37/0.69 (define @t184 () (or @t183 @t147 @t140)) % 0.37/0.69 (define @t185 () (not (tptp.c @t175 @t3))) % 0.37/0.69 (define @t186 () (@list @t175)) % 0.37/0.69 (define @t187 () (tptp.c @t179 @t3)) % 0.37/0.69 (define @t188 () (@list @t179)) % 0.37/0.69 (define @t189 () (and (forall @t188 (or (not (tptp.c @t179 @t17)) @t187)) (forall @t186 (or @t185 (tptp.c @t175 @t17))))) % 0.37/0.69 (define @t190 () (not @t189)) % 0.37/0.69 (define @t191 () (not @t190)) % 0.37/0.69 (define @t192 () (or @t191 @t147 @t140)) % 0.37/0.69 (define @t193 () (tptp.c @t17 tptp.france)) % 0.37/0.69 (define @t194 () (tptp.c @t17 @t3)) % 0.37/0.69 (define @t195 () (not @t194)) % 0.37/0.69 (define @t196 () (forall @t106 (or @t195 @t193))) % 0.37/0.69 (define @t197 () (@list @t17)) % 0.37/0.69 (define @t198 () (@list @t136)) % 0.37/0.69 (define @t199 () (and @t190 @t146 @t196)) % 0.37/0.69 (define @t200 () (not @t199)) % 0.37/0.69 (define @t201 () (forall @t21 @t200)) % 0.37/0.69 (define @t202 () (not @t201)) % 0.37/0.69 (define @t203 () (@var "BOUND_VARIABLE_8289" tptp.reg)) % 0.37/0.69 (define @t204 () (tptp.c @t17 @t203)) % 0.37/0.69 (define @t205 () (lambda (@list @t203) (forall @t106 (or @t195 @t204)))) % 0.37/0.69 (define @t206 () (tptp.c @t17 @t1)) % 0.37/0.69 (define @t207 () (not @t206)) % 0.37/0.69 (define @t208 () (forall @t106 (or @t207 @t194))) % 0.37/0.69 (define @t209 () (lambda @t5 @t208)) % 0.37/0.69 (define @t210 () (tptp.c @t141 @t3)) % 0.37/0.69 (define @t211 () (forall @t145 (or @t144 @t210))) % 0.37/0.69 (define @t212 () (@list @t3)) % 0.37/0.69 (define @t213 () (lambda @t212 @t211)) % 0.37/0.69 (define @t214 () (tptp.c @t141 @t1)) % 0.37/0.69 (define @t215 () (lambda @t212 @t189)) % 0.37/0.69 (define @t216 () (forall @t106 (or @t195 @t206))) % 0.37/0.69 (define @t217 () (and @t208 @t216)) % 0.37/0.69 (define @t218 () (lambda @t5 @t217)) % 0.37/0.69 (define @t219 () (not (_ (_ @t218 @t17) @t3))) % 0.37/0.69 (define @t220 () (_ @t209 @t3)) % 0.37/0.69 (define @t221 () (_ @t209 @t17)) % 0.37/0.69 (define @t222 () (and @t219 (_ @t221 tptp.france) (_ @t220 tptp.france))) % 0.37/0.69 (define @t223 () (exists @t21 @t222)) % 0.37/0.69 (define @t224 () (lambda @t14 @t223)) % 0.37/0.69 (define @t225 () (_ @t60 @t27 @t58)) % 0.37/0.69 (define @t226 () (_ (lambda @t66 (forall @t64 (or (not @t225) @t170))) tptp.a)) % 0.37/0.69 (define @t227 () (not @t105)) % 0.37/0.69 (define @t228 () (or @t227 @t104)) % 0.37/0.69 (define @t229 () (lambda @t212 @t208)) % 0.37/0.69 (define @t230 () (_ @t209 @t1)) % 0.37/0.69 (define @t231 () (_ @t220 @t1)) % 0.37/0.69 (define @t232 () (_ @t230 @t3)) % 0.37/0.69 (define @t233 () (tptp.c @t17 tptp.paris)) % 0.37/0.69 (define @t234 () (not @t193)) % 0.37/0.69 (define @t235 () (forall @t106 (or @t234 @t233))) % 0.37/0.69 (define @t236 () (not @t235)) % 0.37/0.69 (define @t237 () (not @t233)) % 0.37/0.69 (define @t238 () (forall @t106 (or @t237 @t193))) % 0.37/0.69 (define @t239 () (@var "BOUND_VARIABLE_8440" tptp.reg)) % 0.37/0.69 (define @t240 () (not (tptp.c @t141 @t239))) % 0.37/0.69 (define @t241 () (not (forall @t145 (or @t240 @t143)))) % 0.37/0.69 (define @t242 () (@list @t239)) % 0.37/0.69 (define @t243 () (not (forall @t242 (or @t241 (not (forall @t145 (or @t240 (tptp.c @t141 tptp.paris)))))))) % 0.37/0.69 (define @t244 () (and (forall @t106 (or @t237 @t243 @t234 (not (forall @t242 (or @t241 (not (forall @t145 (or @t240 @t142)))))))) @t238 @t236)) % 0.37/0.69 (define @t245 () (or @t244 @t135)) % 0.37/0.69 (define @t246 () (or @t244 @t134)) % 0.37/0.69 (define @t247 () (lambda @t56 @t246)) % 0.37/0.69 (define @t248 () (_ @t247 @t27)) % 0.37/0.69 (define @t249 () (forall @t56 @t248)) % 0.37/0.69 (define @t250 () (or @t244 @t132)) % 0.37/0.69 (define @t251 () (or @t132 @t244)) % 0.37/0.69 (define @t252 () (lambda @t14 @t244)) % 0.37/0.69 (define @t253 () (_ @t252 @t58)) % 0.37/0.69 (define @t254 () (or @t132 @t253)) % 0.37/0.69 (define @t255 () (forall @t64 @t254)) % 0.37/0.69 (define @t256 () (lambda @t56 @t255)) % 0.37/0.69 (define @t257 () (not (forall @t145 (or @t240 @t210)))) % 0.37/0.69 (define @t258 () (forall @t242 (or @t241 @t257))) % 0.37/0.69 (define @t259 () (not @t258)) % 0.37/0.69 (define @t260 () (lambda @t212 (and (forall @t106 (or @t237 @t243 @t195 @t259)) (forall @t106 (or @t237 @t194)) (not (forall @t106 (or @t195 @t233)))))) % 0.37/0.69 (define @t261 () (not @t216)) % 0.37/0.69 (define @t262 () (not (forall @t145 (or @t240 @t214)))) % 0.37/0.69 (define @t263 () (forall @t242 (or @t241 @t262))) % 0.37/0.69 (define @t264 () (not @t263)) % 0.37/0.69 (define @t265 () (forall @t106 (or @t207 @t264 @t195 @t259))) % 0.37/0.69 (define @t266 () (and @t265 @t208 @t261)) % 0.37/0.69 (define @t267 () (_ (lambda @t5 @t266) tptp.paris)) % 0.37/0.69 (define @t268 () (and @t208 @t261)) % 0.37/0.69 (define @t269 () (not @t104)) % 0.37/0.69 (define @t270 () (or @t227 @t264 @t269 @t259)) % 0.37/0.69 (define @t271 () (and @t104 @t258)) % 0.37/0.69 (define @t272 () (and @t105 @t263 @t104 @t258)) % 0.37/0.69 (define @t273 () (forall @t106 (not @t272))) % 0.37/0.69 (define @t274 () (not @t273)) % 0.37/0.69 (define @t275 () (and @t105 @t263)) % 0.37/0.69 (define @t276 () (lambda @t212 @t271)) % 0.37/0.69 (define @t277 () (forall @t145 (or @t144 @t214))) % 0.37/0.69 (define @t278 () (forall @t106 (or (not @t277) (not @t211)))) % 0.37/0.69 (define @t279 () (and @t4 @t278)) % 0.37/0.69 (define @t280 () (lambda @t5 @t279)) % 0.37/0.69 (define @t281 () (_ @t280 @t17)) % 0.37/0.69 (define @t282 () (and (_ @t281 @t1) (_ @t281 @t3))) % 0.37/0.69 (define @t283 () (exists @t106 @t282)) % 0.37/0.69 (define @t284 () (not @t283)) % 0.37/0.69 (define @t285 () (lambda @t212 @t268)) % 0.37/0.69 (define @t286 () (_ (lambda @t5 @t268) @t1)) % 0.37/0.69 (define @t287 () (not @t278)) % 0.37/0.69 (define @t288 () (lambda @t212 @t287)) % 0.37/0.69 (define @t289 () (_ (lambda @t5 @t287) @t1)) % 0.37/0.69 (define @t290 () (not (_ @t289 @t3))) % 0.37/0.69 (define @t291 () (and @t277 @t211)) % 0.37/0.69 (define @t292 () (forall @t106 (not @t291))) % 0.37/0.69 (define @t293 () (not @t292)) % 0.37/0.69 (define @t294 () (and (_ @t221 @t1) (_ @t221 @t3))) % 0.37/0.69 (define @t295 () (not @t231)) % 0.37/0.69 (define @t296 () (@list true)) % 0.37/0.69 (define @t297 () (not @t244)) % 0.37/0.69 (define @t298 () (@list false)) % 0.37/0.69 (define @t299 () (@list @t244)) % 0.37/0.69 (define @t300 () (forall @t138 (or (not (tptp.c @t136 tptp.paris)) @t137))) % 0.37/0.69 (define @t301 () (@quantifiers_skolemize @t235 0)) % 0.37/0.69 (define @t302 () (tptp.c @t301 tptp.france)) % 0.37/0.69 (define @t303 () (tptp.c @t301 tptp.paris)) % 0.37/0.69 (define @t304 () (or (not @t302) @t303)) % 0.37/0.69 (define @t305 () (and @t304 (or (not @t303) @t302))) % 0.37/0.69 (define @t306 () (not @t305)) % 0.37/0.69 (define @t307 () (not @t300)) % 0.37/0.69 (define @t308 () (or @t305 @t307)) % 0.37/0.69 (define @t309 () (forall @t145 (or (not @t142) @t142))) % 0.37/0.69 (define @t310 () (not @t309)) % 0.37/0.69 (define @t311 () (or @t305 @t310 @t307)) % 0.37/0.69 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.69 (assume @p2 (forall (@list @t1) (_ @t2 @t1))) % 0.37/0.69 (assume @p3 (forall @t5 (=> @t4 (_ (_ tptp.c @t3) @t1)))) % 0.37/0.69 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 @t7) @t6))))) % 0.37/0.69 (assume @p5 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 (_ @t8 @t9)) @t6))))) % 0.37/0.69 (assume @p6 (_ tptp.mvalid (_ tptp.mforall_prop (lambda (@list @t12 @t6) (_ (_ (_ tptp.mimplies (_ @t8 @t12)) (_ @t13 @t12)) @t6))))) % 0.37/0.69 (assume @p7 (_ tptp.mvalid (_ @t13 (lambda @t14 (_ (_ tptp.tpp tptp.catalunya) tptp.spain))))) % 0.37/0.69 (assume @p8 (_ tptp.mvalid (_ @t8 (lambda @t14 (_ (_ tptp.ec tptp.spain) tptp.france))))) % 0.37/0.69 (assume @p9 (_ tptp.mvalid (_ @t13 @t15))) % 0.37/0.69 (assume @p10 @t24) % 0.37/0.69 (assume @p11 true) % 0.37/0.69 (step @p12 (= tptp.meq_ind @t28) :rule refl :args (@t28)) % 0.37/0.69 (step @p13 (= tptp.meq_prop @t31) :rule refl :args (@t31)) % 0.37/0.69 (step @p14 (= tptp.mnot @t35) :rule refl :args (@t35)) % 0.37/0.69 (step @p15 (= tptp.mor @t37) :rule refl :args (@t37)) % 0.37/0.69 (step @p16 (= tptp.mand @t42) :rule refl :args (@t42)) % 0.37/0.69 (step @p17 (= tptp.mimplies @t43) :rule refl :args (@t43)) % 0.37/0.69 (step @p18 (= tptp.mimplied @t44) :rule refl :args (@t44)) % 0.37/0.69 (step @p19 (= tptp.mequiv @t45) :rule refl :args (@t45)) % 0.37/0.69 (step @p20 (= tptp.mxor @t46) :rule refl :args (@t46)) % 0.37/0.69 (step @p21 (= tptp.mforall_ind @t49) :rule refl :args (@t49)) % 0.37/0.69 (step @p22 (= tptp.mforall_prop @t53) :rule refl :args (@t53)) % 0.37/0.69 (step @p23 (= tptp.mexists_ind @t54) :rule refl :args (@t54)) % 0.37/0.69 (step @p24 (= tptp.mexists_prop @t55) :rule refl :args (@t55)) % 0.37/0.69 (step @p25 (= tptp.mtrue @t57) :rule refl :args (@t57)) % 0.37/0.69 (step @p26 (= tptp.mbox @t67) :rule refl :args (@t67)) % 0.37/0.69 (step @p27 (= tptp.mdia @t68) :rule refl :args (@t68)) % 0.37/0.69 (step @p28 (= tptp.mreflexive @t73) :rule refl :args (@t73)) % 0.37/0.69 (step @p29 (= tptp.msymmetric @t77) :rule refl :args (@t77)) % 0.37/0.69 (step @p30 (= tptp.mserial @t79) :rule refl :args (@t79)) % 0.37/0.69 (step @p31 (= tptp.mtransitive @t84) :rule refl :args (@t84)) % 0.37/0.69 (step @p32 (= tptp.meuclidean @t86) :rule refl :args (@t86)) % 0.37/0.69 (step @p33 (= tptp.mpartially_functional @t88) :rule refl :args (@t88)) % 0.37/0.69 (step @p34 (= tptp.mfunctional @t90) :rule refl :args (@t90)) % 0.37/0.69 (step @p35 (= tptp.mweakly_dense @t93) :rule refl :args (@t93)) % 0.37/0.69 (step @p36 (= tptp.mweakly_connected @t94) :rule refl :args (@t94)) % 0.37/0.69 (step @p37 (= tptp.mweakly_directed @t95) :rule refl :args (@t95)) % 0.37/0.69 (step @p38 (= tptp.mvalid @t98) :rule refl :args (@t98)) % 0.37/0.69 (step @p39 (= tptp.minvalid @t99) :rule refl :args (@t99)) % 0.37/0.69 (step @p40 (= tptp.msatisfiable @t100) :rule refl :args (@t100)) % 0.37/0.69 (step @p41 (= tptp.mcountersatisfiable @t101) :rule refl :args (@t101)) % 0.37/0.69 (step @p42 (= tptp.dc @t102) :rule refl :args (@t102)) % 0.37/0.69 (step @p43 (= tptp.p @t108) :rule refl :args (@t108)) % 0.37/0.69 (step @p44 (= tptp.eq @t112) :rule refl :args (@t112)) % 0.37/0.69 (step @p45 (= tptp.o @t115) :rule refl :args (@t115)) % 0.37/0.69 (step @p46 (= tptp.po @t118) :rule refl :args (@t118)) % 0.37/0.69 (step @p47 (= tptp.ec @t121) :rule refl :args (@t121)) % 0.37/0.69 (step @p48 (= tptp.pp @t123) :rule refl :args (@t123)) % 0.37/0.69 (step @p49 (= tptp.tpp @t128) :rule refl :args (@t128)) % 0.37/0.69 (step @p50 (= tptp.ntpp @t131) :rule refl :args (@t131)) % 0.37/0.69 (step @p51 :rule quant-merge-prenex :args ((= @t135 @t133))) % 0.37/0.69 (step @p52 :rule refl :args (@t155)) % 0.37/0.69 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t156)) % 0.37/0.69 (step @p54 :rule quant-miniscope-or :args ((= (forall @t56 @t157) @t156))) % 0.37/0.69 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.69 (step @p56 :rule beta-reduce :args ((= @t159 @t157))) % 0.37/0.69 (step @p57 :rule cong :premises (@p56) :args (@t160)) % 0.37/0.69 (step @p58 :rule trans :premises (@p57 @p55)) % 0.37/0.69 (step @p59 :rule beta-reduce :args ((= (_ @t162 @t158) @t160))) % 0.37/0.69 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.69 (step @p61 :rule quant-miniscope-or :args ((= (forall @t64 @t163) @t157))) % 0.37/0.69 (step @p62 :rule aci_norm :args ((= @t164 @t163))) % 0.37/0.69 (step @p63 :rule cong :premises (@p62) :args ((forall @t64 @t164))) % 0.37/0.69 (step @p64 :rule trans :premises (@p63 @p61)) % 0.37/0.69 (step @p65 :rule beta-reduce :args ((= @t166 @t155))) % 0.37/0.69 (step @p66 :rule refl :args (@t132)) % 0.37/0.69 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t167)) % 0.37/0.69 (step @p68 :rule cong :premises (@p67) :args (@t168)) % 0.37/0.69 (step @p69 :rule trans :premises (@p68 @p64)) % 0.37/0.69 (step @p70 :rule cong :premises (@p69) :args (@t169)) % 0.37/0.69 (step @p71 :rule beta-reduce :args ((= (_ @t171 @t165) @t169))) % 0.37/0.69 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.69 (step @p73 :rule quant-merge-prenex :args ((= (forall @t21 @t173) @t154))) % 0.37/0.69 (step @p74 :rule refl :args (@t140)) % 0.37/0.69 (step @p75 :rule refl :args (@t147)) % 0.37/0.69 (step @p76 :rule alpha_equiv :args (@t174 (@list @t148) @t176)) % 0.37/0.69 (step @p77 :rule quant-unused-vars :args ((= @t177 @t174))) % 0.37/0.69 (step @p78 :rule trans :premises (@p77 @p76)) % 0.37/0.69 (step @p79 :rule alpha_equiv :args (@t178 (@list @t150) @t180)) % 0.37/0.69 (step @p80 :rule quant-unused-vars :args ((= @t181 @t178))) % 0.37/0.69 (step @p81 :rule trans :premises (@p80 @p79)) % 0.37/0.69 (step @p82 :rule nary_cong :premises (@p81 @p78) :args (@t182)) % 0.37/0.69 (step @p83 :rule quant-miniscope-and :args ((= @t183 @t182))) % 0.37/0.69 (step @p84 :rule trans :premises (@p83 @p82)) % 0.37/0.69 (step @p85 :rule nary_cong :premises (@p84 @p75 @p74) :args (@t184)) % 0.37/0.69 (step @p86 :rule quant-miniscope-or :args ((= @t173 @t184))) % 0.37/0.69 (step @p87 :rule trans :premises (@p86 @p85)) % 0.37/0.69 (step @p88 :rule symm :premises (@p87)) % 0.37/0.69 (step @p89 :rule cong :premises (@p88) :args ((forall @t21 (or @t189 @t147 @t140)))) % 0.37/0.69 (step @p90 :rule trans :premises (@p89 @p73)) % 0.37/0.69 (step @p91 :rule bool-double-not-elim :args (@t189)) % 0.37/0.69 (step @p92 :rule nary_cong :premises (@p91 @p75 @p74) :args (@t192)) % 0.37/0.69 (step @p93 :rule aci_norm :args ((= (or @t191 (or @t147 @t140)) @t192))) % 0.37/0.69 (step @p94 :rule trans :premises (@p93 @p92)) % 0.37/0.69 (step @p95 :rule bool-and-de-morgan :args (@t146 @t139 true)) % 0.37/0.69 (step @p96 :rule refl :args (@t191)) % 0.37/0.69 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t191 (not (and @t146 @t139))))) % 0.37/0.69 (step @p98 :rule bool-and-de-morgan :args (@t190 @t146 (and @t139))) % 0.37/0.69 (step @p99 :rule trans :premises (@p98 @p97)) % 0.37/0.69 (step @p100 :rule trans :premises (@p99 @p94)) % 0.37/0.69 (step @p101 :rule cong :premises (@p100) :args ((forall @t21 (not (and @t190 @t146 @t139))))) % 0.37/0.69 (step @p102 :rule trans :premises (@p101 @p90)) % 0.37/0.69 (step @p103 :rule alpha_equiv :args (@t196 @t197 @t198)) % 0.37/0.69 (step @p104 :rule refl :args (@t146)) % 0.37/0.69 (step @p105 :rule refl :args (@t190)) % 0.37/0.69 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args (@t199)) % 0.37/0.69 (step @p107 :rule cong :premises (@p106) :args (@t200)) % 0.37/0.69 (step @p108 :rule cong :premises (@p107) :args (@t201)) % 0.37/0.69 (step @p109 :rule trans :premises (@p108 @p102)) % 0.37/0.69 (step @p110 :rule cong :premises (@p109) :args (@t202)) % 0.37/0.69 (step @p111 :rule exists-elim :args ((= (exists @t21 @t199) @t202))) % 0.37/0.69 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.69 (step @p113 :rule beta-reduce :args ((= (_ @t205 tptp.france) @t196))) % 0.37/0.69 (step @p114 :rule refl :args (tptp.france)) % 0.37/0.69 (step @p115 :rule beta-reduce :args ((= (_ (lambda (@list @t1 @t203) (forall @t106 (or @t207 @t204))) @t3) @t205))) % 0.37/0.69 (step @p116 :rule refl :args (@t3)) % 0.37/0.69 (step @p117 :rule alpha_equiv :args (@t209 (@list @t3) (@list @t203))) % 0.37/0.69 (step @p118 :rule ho_cong :premises (@p117 @p116)) % 0.37/0.69 (step @p119 :rule trans :premises (@p118 @p115)) % 0.37/0.69 (step @p120 :rule ho_cong :premises (@p119 @p114)) % 0.37/0.69 (step @p121 :rule trans :premises (@p120 @p113)) % 0.37/0.69 (step @p122 :rule beta-reduce :args ((= (_ @t213 tptp.france) @t146))) % 0.37/0.69 (step @p123 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t145 (or (not @t214) @t210))) @t17) @t213))) % 0.37/0.69 (step @p124 :rule refl :args (@t17)) % 0.37/0.69 (step @p125 :rule alpha_equiv :args (@t208 @t197 (@list @t141))) % 0.37/0.69 (step @p126 :rule cong :premises (@p125) :args (@t209)) % 0.37/0.69 (step @p127 :rule ho_cong :premises (@p126 @p124)) % 0.37/0.69 (step @p128 :rule trans :premises (@p127 @p123)) % 0.37/0.69 (step @p129 :rule ho_cong :premises (@p128 @p114)) % 0.37/0.69 (step @p130 :rule trans :premises (@p129 @p122)) % 0.37/0.69 (step @p131 :rule beta-reduce :args ((= (_ @t215 @t3) @t189))) % 0.37/0.69 (step @p132 :rule refl :args (@t3)) % 0.37/0.69 (step @p133 :rule beta-reduce :args ((= (_ (lambda @t5 (and (forall @t188 (or (not (tptp.c @t179 @t1)) @t187)) (forall @t186 (or @t185 (tptp.c @t175 @t1))))) @t17) @t215))) % 0.37/0.69 (step @p134 :rule alpha_equiv :args (@t216 @t197 @t176)) % 0.37/0.69 (step @p135 :rule alpha_equiv :args (@t208 @t197 @t180)) % 0.37/0.69 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t217)) % 0.37/0.69 (step @p137 :rule cong :premises (@p136) :args (@t218)) % 0.37/0.69 (step @p138 :rule ho_cong :premises (@p137 @p124)) % 0.37/0.69 (step @p139 :rule trans :premises (@p138 @p133)) % 0.37/0.69 (step @p140 :rule ho_cong :premises (@p139 @p132)) % 0.37/0.69 (step @p141 :rule trans :premises (@p140 @p131)) % 0.37/0.69 (step @p142 :rule cong :premises (@p141) :args (@t219)) % 0.37/0.69 (step @p143 :rule nary_cong :premises (@p142 @p130 @p121) :args (@t222)) % 0.37/0.69 (step @p144 :rule cong :premises (@p143) :args (@t223)) % 0.37/0.69 (step @p145 :rule trans :premises (@p144 @p112)) % 0.37/0.69 (step @p146 :rule cong :premises (@p145) :args (@t224)) % 0.37/0.69 (step @p147 :rule beta-reduce :args ((= @t226 @t171))) % 0.37/0.69 (step @p148 :rule ho_cong :premises (@p147 @p146)) % 0.37/0.69 (step @p149 :rule trans :premises (@p148 @p72)) % 0.37/0.69 (step @p150 :rule refl :args (@t162)) % 0.37/0.69 (step @p151 :rule ho_cong :premises (@p150 @p149)) % 0.37/0.69 (step @p152 :rule trans :premises (@p151 @p60)) % 0.37/0.69 (step @p153 :rule cong :premises (@p152) :args ((not (_ @t162 (_ @t226 @t224))))) % 0.37/0.69 (step @p154 :rule refl :args (@t194)) % 0.37/0.69 (step @p155 :rule refl :args (@t104)) % 0.37/0.69 (step @p156 :rule cong :premises (@p155 @p154) :args ((= @t104 @t194))) % 0.37/0.69 (step @p157 :rule symm :premises (@p156)) % 0.37/0.69 (step @p158 :rule eq_resolve :premises (@p155 @p157)) % 0.37/0.69 (step @p159 :rule refl :args (@t206)) % 0.37/0.69 (step @p160 :rule refl :args (@t105)) % 0.37/0.69 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t105 @t206))) % 0.37/0.69 (step @p162 :rule symm :premises (@p161)) % 0.37/0.69 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 0.37/0.69 (step @p164 :rule cong :premises (@p163) :args (@t227)) % 0.37/0.69 (step @p165 :rule nary_cong :premises (@p164 @p158) :args (@t228)) % 0.37/0.69 (step @p166 :rule cong :premises (@p165) :args ((forall @t106 @t228))) % 0.37/0.69 (step @p167 :rule bool-impl-elim :args (@t105 @t104)) % 0.37/0.69 (step @p168 :rule cong :premises (@p167) :args (@t107)) % 0.37/0.69 (step @p169 :rule trans :premises (@p168 @p166)) % 0.37/0.69 (step @p170 :rule cong :premises (@p169) :args (@t108)) % 0.37/0.69 (step @p171 :rule trans :premises (@p43 @p170)) % 0.37/0.69 (step @p172 :rule ho_cong :premises (@p171 @p132)) % 0.37/0.69 (step @p173 :rule ho_cong :premises (@p172 @p114)) % 0.37/0.69 (step @p174 :rule refl :args (@t17)) % 0.37/0.69 (step @p175 :rule ho_cong :premises (@p171 @p174)) % 0.37/0.69 (step @p176 :rule ho_cong :premises (@p175 @p114)) % 0.37/0.69 (step @p177 :rule beta-reduce :args ((= (_ @t205 @t1) @t216))) % 0.37/0.69 (step @p178 :rule refl :args (@t1)) % 0.37/0.69 (step @p179 :rule ho_cong :premises (@p119 @p178)) % 0.37/0.69 (step @p180 :rule trans :premises (@p179 @p177)) % 0.37/0.69 (step @p181 :rule beta-reduce :args ((= (_ @t229 @t3) @t208))) % 0.37/0.69 (step @p182 :rule beta-reduce :args ((= @t230 @t229))) % 0.37/0.69 (step @p183 :rule ho_cong :premises (@p182 @p132)) % 0.37/0.69 (step @p184 :rule trans :premises (@p183 @p181)) % 0.37/0.69 (step @p185 :rule nary_cong :premises (@p184 @p180) :args ((and @t232 @t231))) % 0.37/0.69 (step @p186 :rule ho_cong :premises (@p172 @p178)) % 0.37/0.69 (step @p187 :rule ho_cong :premises (@p171 @p178)) % 0.37/0.69 (step @p188 :rule ho_cong :premises (@p187 @p132)) % 0.37/0.69 (step @p189 :rule nary_cong :premises (@p188 @p186) :args (@t111)) % 0.37/0.69 (step @p190 :rule trans :premises (@p189 @p185)) % 0.37/0.69 (step @p191 :rule cong :premises (@p190) :args (@t112)) % 0.37/0.69 (step @p192 :rule trans :premises (@p44 @p191)) % 0.37/0.69 (step @p193 :rule ho_cong :premises (@p192 @p174)) % 0.37/0.69 (step @p194 :rule ho_cong :premises (@p193 @p132)) % 0.37/0.69 (step @p195 :rule cong :premises (@p194) :args (@t19)) % 0.37/0.69 (step @p196 :rule nary_cong :premises (@p195 @p176 @p173) :args (@t20)) % 0.37/0.69 (step @p197 :rule cong :premises (@p196) :args (@t22)) % 0.37/0.69 (step @p198 :rule cong :premises (@p197) :args (@t23)) % 0.37/0.69 (step @p199 :rule refl :args (tptp.a)) % 0.37/0.69 (step @p200 :rule refl :args (@t170)) % 0.37/0.69 (step @p201 :rule refl :args (@t59)) % 0.37/0.69 (step @p202 :rule cong :premises (@p201 @p200) :args ((= @t59 @t170))) % 0.37/0.69 (step @p203 :rule symm :premises (@p202)) % 0.37/0.69 (step @p204 :rule eq_resolve :premises (@p201 @p203)) % 0.37/0.69 (step @p205 :rule refl :args (@t225)) % 0.37/0.69 (step @p206 :rule refl :args (@t61)) % 0.37/0.69 (step @p207 :rule cong :premises (@p206 @p205) :args ((= @t61 @t225))) % 0.37/0.69 (step @p208 :rule symm :premises (@p207)) % 0.37/0.69 (step @p209 :rule eq_resolve :premises (@p206 @p208)) % 0.37/0.69 (step @p210 :rule cong :premises (@p209) :args (@t62)) % 0.37/0.69 (step @p211 :rule nary_cong :premises (@p210 @p204) :args (@t63)) % 0.37/0.69 (step @p212 :rule cong :premises (@p211) :args (@t65)) % 0.37/0.69 (step @p213 :rule cong :premises (@p212) :args (@t67)) % 0.37/0.69 (step @p214 :rule trans :premises (@p26 @p213)) % 0.37/0.69 (step @p215 :rule ho_cong :premises (@p214 @p199)) % 0.37/0.69 (step @p216 :rule ho_cong :premises (@p215 @p198)) % 0.37/0.69 (step @p217 :rule refl :args (@t161)) % 0.37/0.69 (step @p218 :rule refl :args (@t32)) % 0.37/0.69 (step @p219 :rule cong :premises (@p218 @p217) :args ((= @t32 @t161))) % 0.37/0.69 (step @p220 :rule symm :premises (@p219)) % 0.37/0.69 (step @p221 :rule eq_resolve :premises (@p218 @p220)) % 0.37/0.69 (step @p222 :rule cong :premises (@p221) :args (@t96)) % 0.37/0.69 (step @p223 :rule cong :premises (@p222) :args (@t98)) % 0.37/0.69 (step @p224 :rule trans :premises (@p38 @p223)) % 0.37/0.69 (step @p225 :rule ho_cong :premises (@p224 @p216)) % 0.37/0.69 (step @p226 :rule cong :premises (@p225) :args (@t24)) % 0.37/0.69 (step @p227 :rule trans :premises (@p226 @p153)) % 0.37/0.69 (step @p228 :rule eq_resolve :premises (@p10 @p227)) % 0.37/0.69 (step @p229 :rule not_or_elim :premises (@p228) :args (1)) % 0.37/0.69 (step @p230 :rule refl :args (@t244)) % 0.37/0.69 (step @p231 :rule nary_cong :premises (@p230 @p51) :args (@t245)) % 0.37/0.69 (step @p232 :rule quant-miniscope-or :args ((= (forall @t56 @t246) @t245))) % 0.37/0.69 (step @p233 :rule trans :premises (@p232 @p231)) % 0.37/0.69 (step @p234 :rule beta-reduce :args ((= @t248 @t246))) % 0.37/0.69 (step @p235 :rule cong :premises (@p234) :args (@t249)) % 0.37/0.69 (step @p236 :rule trans :premises (@p235 @p233)) % 0.37/0.69 (step @p237 :rule beta-reduce :args ((= (_ @t162 @t247) @t249))) % 0.37/0.69 (step @p238 :rule trans :premises (@p237 @p236)) % 0.37/0.69 (step @p239 :rule quant-miniscope-or :args ((= (forall @t64 @t250) @t246))) % 0.37/0.69 (step @p240 :rule aci_norm :args ((= @t251 @t250))) % 0.37/0.69 (step @p241 :rule cong :premises (@p240) :args ((forall @t64 @t251))) % 0.37/0.69 (step @p242 :rule trans :premises (@p241 @p239)) % 0.37/0.69 (step @p243 :rule beta-reduce :args ((= @t253 @t244))) % 0.37/0.69 (step @p244 :rule nary_cong :premises (@p66 @p243) :args (@t254)) % 0.37/0.69 (step @p245 :rule cong :premises (@p244) :args (@t255)) % 0.37/0.69 (step @p246 :rule trans :premises (@p245 @p242)) % 0.37/0.69 (step @p247 :rule cong :premises 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(step @p275 :rule trans :premises (@p274 @p273)) % 0.37/0.69 (step @p276 :rule trans :premises (@p275 @p267)) % 0.37/0.69 (step @p277 :rule cong :premises (@p276) :args (@t273)) % 0.37/0.69 (step @p278 :rule trans :premises (@p277 @p266)) % 0.37/0.69 (step @p279 :rule cong :premises (@p278) :args (@t274)) % 0.37/0.69 (step @p280 :rule exists-elim :args ((= (exists @t106 @t272) @t274))) % 0.37/0.69 (step @p281 :rule trans :premises (@p280 @p279)) % 0.37/0.69 (step @p282 :rule aci_norm :args ((= (and @t275 @t271) @t272))) % 0.37/0.69 (step @p283 :rule beta-reduce :args ((= (_ @t276 @t3) @t271))) % 0.37/0.69 (step @p284 :rule beta-reduce :args ((= (_ (lambda @t5 (and @t4 (forall @t242 (or @t262 @t257)))) @t17) @t276))) % 0.37/0.69 (step @p285 :rule alpha_equiv :args (@t278 @t197 (@list @t239))) % 0.37/0.69 (step @p286 :rule refl :args (@t4)) % 0.37/0.69 (step @p287 :rule nary_cong :premises (@p286 @p285) :args (@t279)) % 0.37/0.69 (step @p288 :rule cong :premises (@p287) :args (@t280)) % 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:rule nary_cong :premises (@p332 @p331) :args (@t113)) % 0.37/0.69 (step @p334 :rule cong :premises (@p333) :args (@t114)) % 0.37/0.69 (step @p335 :rule trans :premises (@p334 @p330)) % 0.37/0.69 (step @p336 :rule cong :premises (@p335) :args (@t115)) % 0.37/0.69 (step @p337 :rule trans :premises (@p45 @p336)) % 0.37/0.69 (step @p338 :rule ho_cong :premises (@p337 @p178)) % 0.37/0.69 (step @p339 :rule ho_cong :premises (@p338 @p132)) % 0.37/0.69 (step @p340 :rule cong :premises (@p339) :args (@t119)) % 0.37/0.69 (step @p341 :rule nary_cong :premises (@p315 @p340) :args (@t120)) % 0.37/0.69 (step @p342 :rule trans :premises (@p341 @p316)) % 0.37/0.69 (step @p343 :rule cong :premises (@p342) :args (@t121)) % 0.37/0.69 (step @p344 :rule trans :premises (@p47 @p343)) % 0.37/0.69 (step @p345 :rule ho_cong :premises (@p344 @p174)) % 0.37/0.69 (step @p346 :rule ho_cong :premises (@p345 @p132)) % 0.37/0.69 (step @p347 :rule ho_cong :premises (@p345 @p178)) % 0.37/0.69 (step @p348 :rule 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:args (@t307)) % 0.37/0.69 (step @p390 :rule evaluate :args ((not true))) % 0.37/0.69 (step @p391 :rule quant-unused-vars :args ((= (forall @t145 true) true))) % 0.37/0.69 (step @p392 :rule bool-or-taut2 :args (false @t142 false false)) % 0.37/0.69 (step @p393 :rule cong :premises (@p392) :args (@t309)) % 0.37/0.69 (step @p394 :rule trans :premises (@p393 @p391)) % 0.37/0.69 (step @p395 :rule cong :premises (@p394) :args (@t310)) % 0.37/0.69 (step @p396 :rule trans :premises (@p395 @p390)) % 0.37/0.69 (step @p397 :rule refl :args (@t305)) % 0.37/0.69 (step @p398 :rule nary_cong :premises (@p397 @p396 @p389) :args (@t311)) % 0.37/0.69 (step @p399 :rule trans :premises (@p398 @p388)) % 0.37/0.69 (step @p400 :rule refl :args (@t154)) % 0.37/0.69 (step @p401 :rule cong :premises (@p400 @p399) :args ((=> @t154 @t311))) % 0.37/0.69 (assume-push @p412 @t154) % 0.37/0.69 (step @p403 :rule instantiate :premises (@p387) :args ((@list tptp.france tptp.paris @t301 @t301))) % 0.37/0.69 (step-pop @p413 :rule scope :premises (@p403)) % 0.37/0.69 (step @p404 :rule process_scope :premises (@p413) :args (@t311)) % 0.37/0.69 (step @p406 :rule eq_resolve :premises (@p404 @p401)) % 0.37/0.69 (step @p407 :rule implies_elim :premises (@p406)) % 0.37/0.69 (step @p408 :rule chain_m_resolution :premises (@p407 @p387) :args (@t308 @t298 (@list @t154))) % 0.37/0.69 (step @p409 :rule cnf_or_pos :args (@t308)) % 0.37/0.69 (step @p410 :rule reordering :premises (@p409) :args ((or @t307 @t305 (not @t308)))) % 0.37/0.69 (step @p411 false :rule chain_m_resolution :premises (@p410 @p408 @p385 @p378) :args (false (@list false true false) (@list @t308 @t305 @t300))) % 0.37/0.69 ) % 0.37/0.69 % SZS output end Proof % 0.37/0.69 % cvc5 exiting %------------------------------------------------------------------------------