%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ084^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:44:10 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ084^1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:18:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.37/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-sort tptp.mu 0) % 0.37/0.59 (declare-const tptp.wife (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.john (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.peter (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 0.37/0.59 (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" $$unsorted)) (= _let_2 _let_1))))) % 0.37/0.59 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 0.37/0.59 (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)))))) % 0.37/0.59 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.59 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.59 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.37/0.59 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.60 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 0.37/0.60 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.60 (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))))))) % 0.37/0.60 (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))))))) % 0.37/0.60 (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)))))) % 0.37/0.60 (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)))))) % 0.37/0.60 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.37/0.60 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 0.37/0.60 (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)))))) % 0.37/0.60 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.37/0.60 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.60 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.60 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.60 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 0.37/0.60 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 0.37/0.60 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 0.37/0.60 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 0.37/0.60 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 0.37/0.60 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 0.37/0.60 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.60 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.60 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.60 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.60 (define @t1 () (_ tptp.wife tptp.peter)) % 0.37/0.60 (define @t2 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.60 (define @t3 () (@var "A" (-> $$unsorted Bool))) % 0.37/0.60 (define @t4 () (@list @t3 @t2)) % 0.37/0.60 (define @t5 () (lambda @t4 (_ (_ (_ tptp.mimplies (_ (_ tptp.mbox @t1) @t3)) @t3) @t2))) % 0.37/0.60 (define @t6 () (not (_ tptp.mvalid (_ tptp.mforall_prop @t5)))) % 0.37/0.60 (define @t7 () (@var "Y" tptp.mu)) % 0.37/0.60 (define @t8 () (@var "X" tptp.mu)) % 0.37/0.60 (define @t9 () (@var "W" $$unsorted)) % 0.37/0.60 (define @t10 () (lambda (@list @t8 @t7 @t9) (= @t8 @t7))) % 0.37/0.60 (define @t11 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.60 (define @t12 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.60 (define @t13 () (lambda (@list @t12 @t11 @t9) (= (_ @t12 @t9) (_ @t11 @t9)))) % 0.37/0.60 (define @t14 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.60 (define @t15 () (_ @t14 @t9)) % 0.37/0.60 (define @t16 () (not @t15)) % 0.37/0.60 (define @t17 () (@list @t14 @t9)) % 0.37/0.60 (define @t18 () (lambda @t17 @t16)) % 0.37/0.60 (define @t19 () (@var "Psi" (-> $$unsorted Bool))) % 0.37/0.60 (define @t20 () (_ @t19 @t9)) % 0.37/0.60 (define @t21 () (lambda (@list @t14 @t19 @t9) (or @t15 @t20))) % 0.37/0.60 (define @t22 () (_ tptp.mnot @t19)) % 0.37/0.60 (define @t23 () (_ tptp.mnot @t14)) % 0.37/0.60 (define @t24 () (_ tptp.mor @t23)) % 0.37/0.60 (define @t25 () (@list @t14 @t19 @t2)) % 0.37/0.60 (define @t26 () (lambda @t25 (_ (_ tptp.mnot (_ @t24 @t22)) @t2))) % 0.37/0.60 (define @t27 () (lambda @t25 (_ (_ @t24 @t19) @t2))) % 0.37/0.60 (define @t28 () (lambda @t25 (_ (_ (_ tptp.mor @t22) @t14) @t2))) % 0.37/0.60 (define @t29 () (lambda @t25 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t14) @t19)) (_ (_ tptp.mimplies @t19) @t14)) @t2))) % 0.37/0.60 (define @t30 () (lambda @t25 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t14) @t19)) @t2))) % 0.37/0.60 (define @t31 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 0.37/0.60 (define @t32 () (_ @t31 @t8)) % 0.37/0.60 (define @t33 () (lambda (@list @t31 @t9) (forall (@list @t8) (_ @t32 @t9)))) % 0.37/0.60 (define @t34 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.60 (define @t35 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 0.37/0.60 (define @t36 () (_ @t35 @t34)) % 0.37/0.60 (define @t37 () (_ @t36 @t9)) % 0.37/0.60 (define @t38 () (@list @t34)) % 0.37/0.60 (define @t39 () (forall @t38 @t37)) % 0.37/0.60 (define @t40 () (@list @t35 @t9)) % 0.37/0.60 (define @t41 () (lambda @t40 @t39)) % 0.37/0.60 (define @t42 () (lambda (@list @t31 @t2) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t8 @t2) (_ (_ tptp.mnot @t32) @t2)))) @t2))) % 0.37/0.60 (define @t43 () (lambda (@list @t35 @t2) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t34 @t2) (_ (_ tptp.mnot @t36) @t2)))) @t2))) % 0.37/0.60 (define @t44 () (@list @t9)) % 0.37/0.60 (define @t45 () (lambda @t44 true)) % 0.37/0.60 (define @t46 () (@var "V" $$unsorted)) % 0.37/0.60 (define @t47 () (_ @t14 @t46)) % 0.37/0.60 (define @t48 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.60 (define @t49 () (_ (_ @t48 @t9) @t46)) % 0.37/0.60 (define @t50 () (not @t49)) % 0.37/0.60 (define @t51 () (or @t50 @t47)) % 0.37/0.60 (define @t52 () (@list @t46)) % 0.37/0.60 (define @t53 () (forall @t52 @t51)) % 0.37/0.60 (define @t54 () (@list @t48 @t14 @t9)) % 0.37/0.60 (define @t55 () (lambda @t54 @t53)) % 0.37/0.60 (define @t56 () (lambda (@list @t48 @t14 @t2) (_ (_ tptp.mnot (_ (_ tptp.mbox @t48) @t23)) @t2))) % 0.37/0.60 (define @t57 () (@var "S" $$unsorted)) % 0.37/0.60 (define @t58 () (_ @t48 @t57)) % 0.37/0.60 (define @t59 () (_ @t58 @t57)) % 0.37/0.60 (define @t60 () (@list @t57)) % 0.37/0.60 (define @t61 () (forall @t60 @t59)) % 0.37/0.60 (define @t62 () (@list @t48)) % 0.37/0.60 (define @t63 () (lambda @t62 @t61)) % 0.37/0.60 (define @t64 () (@var "T" $$unsorted)) % 0.37/0.60 (define @t65 () (_ @t48 @t64)) % 0.37/0.60 (define @t66 () (_ @t58 @t64)) % 0.37/0.60 (define @t67 () (lambda @t62 (forall (@list @t57 @t64) (=> @t66 (_ @t65 @t57))))) % 0.37/0.60 (define @t68 () (@list @t64)) % 0.37/0.60 (define @t69 () (lambda @t62 (forall @t60 (exists @t68 @t66)))) % 0.37/0.60 (define @t70 () (@var "U" $$unsorted)) % 0.37/0.60 (define @t71 () (_ @t58 @t70)) % 0.37/0.60 (define @t72 () (_ @t65 @t70)) % 0.37/0.60 (define @t73 () (@list @t57 @t64 @t70)) % 0.37/0.60 (define @t74 () (lambda @t62 (forall @t73 (=> (and @t66 @t72) @t71)))) % 0.37/0.60 (define @t75 () (and @t66 @t71)) % 0.37/0.60 (define @t76 () (lambda @t62 (forall @t73 (=> @t75 @t72)))) % 0.37/0.60 (define @t77 () (= @t64 @t70)) % 0.37/0.60 (define @t78 () (lambda @t62 (forall @t73 (=> @t75 @t77)))) % 0.37/0.60 (define @t79 () (@list @t70)) % 0.37/0.60 (define @t80 () (lambda @t62 (forall @t60 (exists @t68 (and @t66 (forall @t79 (=> @t71 @t77))))))) % 0.37/0.60 (define @t81 () (_ @t48 @t70)) % 0.37/0.60 (define @t82 () (_ @t81 @t64)) % 0.37/0.60 (define @t83 () (lambda @t62 (forall @t73 (=> @t66 (exists @t79 (and @t71 @t82)))))) % 0.37/0.60 (define @t84 () (lambda @t62 (forall @t73 (=> @t75 (or @t72 @t77 @t82))))) % 0.37/0.60 (define @t85 () (lambda @t62 (forall @t73 (=> @t75 (exists @t52 (and (_ @t65 @t46) (_ @t81 @t46))))))) % 0.37/0.60 (define @t86 () (forall @t44 @t15)) % 0.37/0.60 (define @t87 () (@list @t14)) % 0.37/0.60 (define @t88 () (lambda @t87 @t86)) % 0.37/0.60 (define @t89 () (lambda @t87 (forall @t44 @t16))) % 0.37/0.60 (define @t90 () (lambda @t87 (exists @t44 @t15))) % 0.37/0.60 (define @t91 () (lambda @t87 (exists @t44 @t16))) % 0.37/0.60 (define @t92 () (tptp.wife tptp.peter @t57 @t57)) % 0.37/0.60 (define @t93 () (_ (_ @t1 @t57) @t57)) % 0.37/0.60 (define @t94 () (_ @t1 @t57 @t57)) % 0.37/0.60 (define @t95 () (forall @t60 @t94)) % 0.37/0.60 (define @t96 () (_ @t48 @t57 @t57)) % 0.37/0.60 (define @t97 () (_ @t34 @t9)) % 0.37/0.60 (define @t98 () (tptp.wife tptp.peter @t9 @t46)) % 0.37/0.60 (define @t99 () (not @t98)) % 0.37/0.60 (define @t100 () (not (forall @t52 (or @t99 (_ @t34 @t46))))) % 0.37/0.60 (define @t101 () (or @t100 @t97)) % 0.37/0.60 (define @t102 () (forall (@list @t9 @t34) @t101)) % 0.37/0.60 (define @t103 () (forall @t38 @t101)) % 0.37/0.60 (define @t104 () (lambda @t44 @t103)) % 0.37/0.60 (define @t105 () (_ @t104 @t9)) % 0.37/0.60 (define @t106 () (forall @t44 @t105)) % 0.37/0.60 (define @t107 () (_ @t14 @t9)) % 0.37/0.60 (define @t108 () (lambda @t87 (forall @t44 @t107))) % 0.37/0.60 (define @t109 () (_ @t34 @t9)) % 0.37/0.60 (define @t110 () (or @t100 @t109)) % 0.37/0.60 (define @t111 () (_ @t3 @t46)) % 0.37/0.60 (define @t112 () (forall @t52 (or (not (tptp.wife tptp.peter @t2 @t46)) @t111))) % 0.37/0.60 (define @t113 () (not @t112)) % 0.37/0.60 (define @t114 () (or @t113 (_ @t3 @t2))) % 0.37/0.60 (define @t115 () (lambda @t4 @t114)) % 0.37/0.60 (define @t116 () (_ @t115 @t34 @t9)) % 0.37/0.60 (define @t117 () (forall @t38 @t116)) % 0.37/0.60 (define @t118 () (lambda @t44 @t117)) % 0.37/0.60 (define @t119 () (_ @t35 @t34 @t9)) % 0.37/0.60 (define @t120 () (lambda @t40 (forall @t38 @t119))) % 0.37/0.60 (define @t121 () (lambda (@list @t2) @t114)) % 0.37/0.60 (define @t122 () (_ @t19 @t2)) % 0.37/0.60 (define @t123 () (@list @t19 @t2)) % 0.37/0.60 (define @t124 () (lambda @t44 (forall @t52 (or @t99 @t111)))) % 0.37/0.60 (define @t125 () (_ @t124 @t2)) % 0.37/0.60 (define @t126 () (not @t125)) % 0.37/0.60 (define @t127 () (or @t126 @t122)) % 0.37/0.60 (define @t128 () (lambda @t123 @t127)) % 0.37/0.60 (define @t129 () (or (not (_ @t14 @t2)) @t122)) % 0.37/0.60 (define @t130 () (lambda @t25 @t129)) % 0.37/0.60 (define @t131 () (_ @t14 @t46)) % 0.37/0.60 (define @t132 () (_ (_ @t1 @t9) @t46)) % 0.37/0.60 (define @t133 () (not @t132)) % 0.37/0.60 (define @t134 () (or @t133 @t131)) % 0.37/0.60 (define @t135 () (_ @t1 @t9 @t46)) % 0.37/0.60 (define @t136 () (not @t135)) % 0.37/0.60 (define @t137 () (or @t136 @t131)) % 0.37/0.60 (define @t138 () (forall @t52 @t137)) % 0.37/0.60 (define @t139 () (lambda @t17 @t138)) % 0.37/0.60 (define @t140 () (_ @t48 @t9 @t46)) % 0.37/0.60 (define @t141 () (_ (lambda @t54 (forall @t52 (or (not @t140) @t131))) @t1)) % 0.37/0.60 (define @t142 () (lambda @t4 (_ (_ (_ @t130 (_ @t141 @t3)) @t3) @t2))) % 0.37/0.60 (define @t143 () (or @t16 @t20)) % 0.37/0.60 (define @t144 () (lambda @t44 @t143)) % 0.37/0.60 (define @t145 () (@list @t19 @t9)) % 0.37/0.60 (define @t146 () (lambda @t44 @t16)) % 0.37/0.60 (define @t147 () (_ @t146 @t9)) % 0.37/0.60 (define @t148 () (or @t147 @t20)) % 0.37/0.60 (define @t149 () (lambda @t145 @t148)) % 0.37/0.60 (define @t150 () (@quantifiers_skolemize @t102 1)) % 0.37/0.60 (define @t151 () (@quantifiers_skolemize @t102 0)) % 0.37/0.60 (define @t152 () (forall @t52 (or (not (tptp.wife tptp.peter @t151 @t46)) (_ @t150 @t46)))) % 0.37/0.60 (define @t153 () (_ @t150 @t151)) % 0.37/0.60 (define @t154 () (not @t152)) % 0.37/0.60 (define @t155 () (or @t154 @t153)) % 0.37/0.60 (define @t156 () (@list true)) % 0.37/0.60 (define @t157 () (@list @t155)) % 0.37/0.60 (define @t158 () (@list @t151)) % 0.37/0.60 (define @t159 () (tptp.wife tptp.peter @t151 @t151)) % 0.37/0.60 (define @t160 () (not @t159)) % 0.37/0.60 (define @t161 () (or @t160 @t153)) % 0.37/0.60 (define @t162 () (@list true false)) % 0.37/0.60 (define @t163 () (forall @t60 @t92)) % 0.37/0.60 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 0.37/0.60 (assume @p2 (_ tptp.mreflexive tptp.peter)) % 0.37/0.60 (assume @p3 (_ tptp.mreflexive tptp.john)) % 0.37/0.60 (assume @p4 (_ tptp.mreflexive @t1)) % 0.37/0.60 (assume @p5 (_ tptp.mtransitive tptp.peter)) % 0.37/0.60 (assume @p6 (_ tptp.mtransitive tptp.john)) % 0.37/0.60 (assume @p7 (_ tptp.mtransitive @t1)) % 0.37/0.60 (assume @p8 @t6) % 0.37/0.60 (assume @p9 true) % 0.37/0.60 (step @p10 (= tptp.meq_ind @t10) :rule refl :args (@t10)) % 0.37/0.60 (step @p11 (= tptp.meq_prop @t13) :rule refl :args (@t13)) % 0.37/0.60 (step @p12 (= tptp.mnot @t18) :rule refl :args (@t18)) % 0.37/0.60 (step @p13 (= tptp.mor @t21) :rule refl :args (@t21)) % 0.37/0.60 (step @p14 (= tptp.mand @t26) :rule refl :args (@t26)) % 0.37/0.60 (step @p15 (= tptp.mimplies @t27) :rule refl :args (@t27)) % 0.37/0.60 (step @p16 (= tptp.mimplied @t28) :rule refl :args (@t28)) % 0.37/0.60 (step @p17 (= tptp.mequiv @t29) :rule refl :args (@t29)) % 0.37/0.60 (step @p18 (= tptp.mxor @t30) :rule refl :args (@t30)) % 0.37/0.60 (step @p19 (= tptp.mforall_ind @t33) :rule refl :args (@t33)) % 0.37/0.60 (step @p20 (= tptp.mforall_prop @t41) :rule refl :args (@t41)) % 0.37/0.60 (step @p21 (= tptp.mexists_ind @t42) :rule refl :args (@t42)) % 0.37/0.60 (step @p22 (= tptp.mexists_prop @t43) :rule refl :args (@t43)) % 0.37/0.60 (step @p23 (= tptp.mtrue @t45) :rule refl :args (@t45)) % 0.37/0.60 (step @p24 (= tptp.mbox @t55) :rule refl :args (@t55)) % 0.37/0.60 (step @p25 (= tptp.mdia @t56) :rule refl :args (@t56)) % 0.37/0.60 (step @p26 (= tptp.mreflexive @t63) :rule refl :args (@t63)) % 0.37/0.60 (step @p27 (= tptp.msymmetric @t67) :rule refl :args (@t67)) % 0.37/0.60 (step @p28 (= tptp.mserial @t69) :rule refl :args (@t69)) % 0.37/0.60 (step @p29 (= tptp.mtransitive @t74) :rule refl :args (@t74)) % 0.37/0.60 (step @p30 (= tptp.meuclidean @t76) :rule refl :args (@t76)) % 0.37/0.60 (step @p31 (= tptp.mpartially_functional @t78) :rule refl :args (@t78)) % 0.37/0.60 (step @p32 (= tptp.mfunctional @t80) :rule refl :args (@t80)) % 0.37/0.60 (step @p33 (= tptp.mweakly_dense @t83) :rule refl :args (@t83)) % 0.37/0.60 (step @p34 (= tptp.mweakly_connected @t84) :rule refl :args (@t84)) % 0.37/0.60 (step @p35 (= tptp.mweakly_directed @t85) :rule refl :args (@t85)) % 0.37/0.60 (step @p36 (= tptp.mvalid @t88) :rule refl :args (@t88)) % 0.37/0.60 (step @p37 (= tptp.minvalid @t89) :rule refl :args (@t89)) % 0.37/0.60 (step @p38 (= tptp.msatisfiable @t90) :rule refl :args (@t90)) % 0.37/0.60 (step @p39 (= tptp.mcountersatisfiable @t91) :rule refl :args (@t91)) % 0.37/0.60 (step @p40 :rule refl :args (@t92)) % 0.37/0.60 (step @p41 :rule refl :args (@t93)) % 0.37/0.60 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t93 @t92))) % 0.37/0.60 (step @p43 :rule symm :premises (@p42)) % 0.37/0.60 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.37/0.60 (step @p45 :rule cong :premises (@p44) :args ((forall @t60 @t93))) % 0.37/0.60 (step @p46 :rule refl :args (@t94)) % 0.37/0.60 (step @p47 :rule cong :premises (@p46) :args (@t95)) % 0.37/0.60 (step @p48 :rule trans :premises (@p47 @p45)) % 0.37/0.60 (step @p49 :rule beta-reduce :args ((= (_ (lambda @t62 (forall @t60 @t96)) @t1) @t95))) % 0.37/0.60 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.60 (step @p51 :rule refl :args (@t1)) % 0.37/0.60 (step @p52 :rule refl :args (@t96)) % 0.37/0.60 (step @p53 :rule refl :args (@t59)) % 0.37/0.60 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t59 @t96))) % 0.37/0.60 (step @p55 :rule symm :premises (@p54)) % 0.37/0.60 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.37/0.60 (step @p57 :rule cong :premises (@p56) :args (@t61)) % 0.37/0.60 (step @p58 :rule cong :premises (@p57) :args (@t63)) % 0.37/0.60 (step @p59 :rule trans :premises (@p26 @p58)) % 0.37/0.60 (step @p60 :rule ho_cong :premises (@p59 @p51)) % 0.37/0.60 (step @p61 :rule trans :premises (@p60 @p50)) % 0.37/0.60 (step @p62 :rule eq_resolve :premises (@p4 @p61)) % 0.37/0.60 (step @p63 :rule quant-merge-prenex :args ((= (forall @t44 @t103) @t102))) % 0.37/0.60 (step @p64 :rule beta-reduce :args ((= @t105 @t103))) % 0.37/0.60 (step @p65 :rule cong :premises (@p64) :args (@t106)) % 0.37/0.60 (step @p66 :rule trans :premises (@p65 @p63)) % 0.37/0.60 (step @p67 :rule beta-reduce :args ((= (_ @t108 @t104) @t106))) % 0.37/0.60 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.60 (step @p69 :rule refl :args (@t97)) % 0.37/0.60 (step @p70 :rule refl :args (@t109)) % 0.37/0.60 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t109 @t97))) % 0.37/0.60 (step @p72 :rule symm :premises (@p71)) % 0.37/0.60 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.37/0.60 (step @p74 :rule refl :args (@t100)) % 0.37/0.60 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t110)) % 0.37/0.60 (step @p76 :rule cong :premises (@p75) :args ((forall @t38 @t110))) % 0.37/0.60 (step @p77 :rule beta-reduce :args ((= @t116 @t110))) % 0.37/0.60 (step @p78 :rule cong :premises (@p77) :args (@t117)) % 0.37/0.60 (step @p79 :rule trans :premises (@p78 @p76)) % 0.37/0.60 (step @p80 :rule cong :premises (@p79) :args (@t118)) % 0.37/0.60 (step @p81 :rule beta-reduce :args ((= (_ @t120 @t115) @t118))) % 0.37/0.60 (step @p82 :rule trans :premises (@p81 @p80)) % 0.37/0.60 (step @p83 :rule beta-reduce :args ((= (_ @t121 @t2) @t114))) % 0.37/0.60 (step @p84 :rule refl :args (@t2)) % 0.37/0.60 (step @p85 :rule beta-reduce :args ((= (_ (lambda @t123 (or @t113 @t122)) @t3) @t121))) % 0.37/0.60 (step @p86 :rule refl :args (@t3)) % 0.37/0.60 (step @p87 :rule refl :args (@t122)) % 0.37/0.60 (step @p88 :rule beta-reduce :args ((= @t125 @t112))) % 0.37/0.60 (step @p89 :rule cong :premises (@p88) :args (@t126)) % 0.37/0.60 (step @p90 :rule nary_cong :premises (@p89 @p87) :args (@t127)) % 0.37/0.60 (step @p91 :rule cong :premises (@p90) :args (@t128)) % 0.37/0.60 (step @p92 :rule beta-reduce :args ((= (_ @t130 @t124) @t128))) % 0.37/0.60 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.60 (step @p94 :rule beta-reduce :args ((= (_ (lambda @t17 (forall @t52 (or @t99 @t131))) @t3) @t124))) % 0.37/0.60 (step @p95 :rule refl :args (@t131)) % 0.37/0.60 (step @p96 :rule refl :args (@t98)) % 0.37/0.60 (step @p97 :rule refl :args (@t132)) % 0.37/0.60 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t132 @t98))) % 0.37/0.60 (step @p99 :rule symm :premises (@p98)) % 0.37/0.60 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.37/0.60 (step @p101 :rule cong :premises (@p100) :args (@t133)) % 0.37/0.60 (step @p102 :rule nary_cong :premises (@p101 @p95) :args (@t134)) % 0.37/0.60 (step @p103 :rule cong :premises (@p102) :args ((forall @t52 @t134))) % 0.37/0.60 (step @p104 :rule refl :args (@t131)) % 0.37/0.60 (step @p105 :rule refl :args (@t135)) % 0.37/0.60 (step @p106 :rule cong :premises (@p105) :args (@t136)) % 0.37/0.60 (step @p107 :rule nary_cong :premises (@p106 @p104) :args (@t137)) % 0.37/0.60 (step @p108 :rule cong :premises (@p107) :args (@t138)) % 0.37/0.60 (step @p109 :rule trans :premises (@p108 @p103)) % 0.37/0.60 (step @p110 :rule cong :premises (@p109) :args (@t139)) % 0.37/0.60 (step @p111 :rule beta-reduce :args ((= @t141 @t139))) % 0.37/0.60 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.60 (step @p113 :rule ho_cong :premises (@p112 @p86)) % 0.37/0.60 (step @p114 :rule trans :premises (@p113 @p94)) % 0.37/0.60 (step @p115 :rule refl :args (@t130)) % 0.37/0.60 (step @p116 :rule ho_cong :premises (@p115 @p114)) % 0.37/0.60 (step @p117 :rule trans :premises (@p116 @p93)) % 0.37/0.60 (step @p118 :rule ho_cong :premises (@p117 @p86)) % 0.37/0.60 (step @p119 :rule trans :premises (@p118 @p85)) % 0.37/0.60 (step @p120 :rule ho_cong :premises (@p119 @p84)) % 0.37/0.60 (step @p121 :rule trans :premises (@p120 @p83)) % 0.37/0.60 (step @p122 :rule cong :premises (@p121) :args (@t142)) % 0.37/0.60 (step @p123 :rule refl :args (@t120)) % 0.37/0.60 (step @p124 :rule ho_cong :premises (@p123 @p122)) % 0.37/0.60 (step @p125 :rule trans :premises (@p124 @p82)) % 0.37/0.60 (step @p126 :rule refl :args (@t108)) % 0.37/0.60 (step @p127 :rule ho_cong :premises (@p126 @p125)) % 0.37/0.60 (step @p128 :rule trans :premises (@p127 @p68)) % 0.37/0.60 (step @p129 :rule cong :premises (@p128) :args ((not (_ @t108 (_ @t120 @t142))))) % 0.37/0.60 (step @p130 :rule refl :args (@t131)) % 0.37/0.60 (step @p131 :rule refl :args (@t47)) % 0.37/0.60 (step @p132 :rule cong :premises (@p131 @p130) :args ((= @t47 @t131))) % 0.37/0.60 (step @p133 :rule symm :premises (@p132)) % 0.37/0.60 (step @p134 :rule eq_resolve :premises (@p131 @p133)) % 0.37/0.60 (step @p135 :rule refl :args (@t140)) % 0.37/0.60 (step @p136 :rule refl :args (@t49)) % 0.37/0.60 (step @p137 :rule cong :premises (@p136 @p135) :args ((= @t49 @t140))) % 0.37/0.60 (step @p138 :rule symm :premises (@p137)) % 0.37/0.60 (step @p139 :rule eq_resolve :premises (@p136 @p138)) % 0.37/0.60 (step @p140 :rule cong :premises (@p139) :args (@t50)) % 0.37/0.60 (step @p141 :rule nary_cong :premises (@p140 @p134) :args (@t51)) % 0.37/0.60 (step @p142 :rule cong :premises (@p141) :args (@t53)) % 0.37/0.60 (step @p143 :rule cong :premises (@p142) :args (@t55)) % 0.37/0.60 (step @p144 :rule trans :premises (@p24 @p143)) % 0.37/0.60 (step @p145 :rule ho_cong :premises (@p144 @p51)) % 0.37/0.60 (step @p146 :rule ho_cong :premises (@p145 @p86)) % 0.37/0.60 (step @p147 :rule beta-reduce :args ((= (_ @t144 @t2) @t129))) % 0.37/0.60 (step @p148 :rule beta-reduce :args ((= (_ (lambda @t145 @t143) @t19) @t144))) % 0.37/0.60 (step @p149 :rule refl :args (@t19)) % 0.37/0.60 (step @p150 :rule refl :args (@t20)) % 0.37/0.60 (step @p151 :rule beta-reduce :args ((= @t147 @t16))) % 0.37/0.60 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t148)) % 0.37/0.60 (step @p153 :rule cong :premises (@p152) :args (@t149)) % 0.37/0.60 (step @p154 :rule beta-reduce :args ((= (_ @t21 @t146) @t149))) % 0.37/0.60 (step @p155 :rule trans :premises (@p154 @p153)) % 0.37/0.60 (step @p156 :rule beta-reduce :args ((= (_ @t18 @t14) @t146))) % 0.37/0.60 (step @p157 :rule refl :args (@t21)) % 0.37/0.60 (step @p158 :rule ho_cong :premises (@p157 @p156)) % 0.37/0.60 (step @p159 :rule trans :premises (@p158 @p155)) % 0.37/0.60 (step @p160 :rule ho_cong :premises (@p159 @p149)) % 0.37/0.60 (step @p161 :rule trans :premises (@p160 @p148)) % 0.37/0.60 (step @p162 :rule ho_cong :premises (@p161 @p84)) % 0.37/0.60 (step @p163 :rule trans :premises (@p162 @p147)) % 0.37/0.60 (step @p164 :rule refl :args (@t14)) % 0.37/0.60 (step @p165 :rule ho_cong :premises (@p12 @p164)) % 0.37/0.60 (step @p166 :rule ho_cong :premises (@p13 @p165)) % 0.37/0.60 (step @p167 :rule ho_cong :premises (@p166 @p149)) % 0.37/0.60 (step @p168 :rule ho_cong :premises (@p167 @p84)) % 0.37/0.60 (step @p169 :rule trans :premises (@p168 @p163)) % 0.37/0.60 (step @p170 :rule cong :premises (@p169) :args (@t27)) % 0.37/0.60 (step @p171 :rule trans :premises (@p15 @p170)) % 0.37/0.60 (step @p172 :rule ho_cong :premises (@p171 @p146)) % 0.37/0.60 (step @p173 :rule ho_cong :premises (@p172 @p86)) % 0.37/0.60 (step @p174 :rule ho_cong :premises (@p173 @p84)) % 0.37/0.60 (step @p175 :rule cong :premises (@p174) :args (@t5)) % 0.37/0.60 (step @p176 :rule refl :args (@t119)) % 0.37/0.60 (step @p177 :rule refl :args (@t37)) % 0.37/0.60 (step @p178 :rule cong :premises (@p177 @p176) :args ((= @t37 @t119))) % 0.37/0.60 (step @p179 :rule symm :premises (@p178)) % 0.37/0.60 (step @p180 :rule eq_resolve :premises (@p177 @p179)) % 0.37/0.60 (step @p181 :rule cong :premises (@p180) :args (@t39)) % 0.37/0.60 (step @p182 :rule cong :premises (@p181) :args (@t41)) % 0.37/0.60 (step @p183 :rule trans :premises (@p20 @p182)) % 0.37/0.60 (step @p184 :rule ho_cong :premises (@p183 @p175)) % 0.37/0.60 (step @p185 :rule refl :args (@t107)) % 0.37/0.60 (step @p186 :rule refl :args (@t15)) % 0.37/0.60 (step @p187 :rule cong :premises (@p186 @p185) :args ((= @t15 @t107))) % 0.37/0.60 (step @p188 :rule symm :premises (@p187)) % 0.37/0.60 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 0.37/0.60 (step @p190 :rule cong :premises (@p189) :args (@t86)) % 0.37/0.60 (step @p191 :rule cong :premises (@p190) :args (@t88)) % 0.37/0.60 (step @p192 :rule trans :premises (@p36 @p191)) % 0.37/0.60 (step @p193 :rule ho_cong :premises (@p192 @p184)) % 0.37/0.60 (step @p194 :rule cong :premises (@p193) :args (@t6)) % 0.37/0.60 (step @p195 :rule trans :premises (@p194 @p129)) % 0.37/0.60 (step @p196 :rule eq_resolve :premises (@p8 @p195)) % 0.37/0.60 (step @p197 :rule skolemize :premises (@p196)) % 0.37/0.60 (step @p198 :rule bool-double-not-elim :args (@t152)) % 0.37/0.60 (step @p199 :rule refl :args (@t155)) % 0.37/0.60 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or @t155 (not @t154)))) % 0.37/0.60 (step @p201 :rule cnf_or_neg :args (@t155 0)) % 0.37/0.60 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 0.37/0.60 (step @p203 :rule reordering :premises (@p202) :args ((or @t152 @t155))) % 0.37/0.60 (step @p204 :rule chain_m_resolution :premises (@p203 @p197) :args (@t152 @t156 @t157)) % 0.37/0.60 (step @p205 :rule instantiate :premises (@p204) :args (@t158)) % 0.37/0.60 (step @p206 :rule cnf_or_neg :args (@t155 1)) % 0.37/0.60 (step @p207 :rule chain_m_resolution :premises (@p206 @p197) :args ((not @t153) @t156 @t157)) % 0.37/0.60 (step @p208 :rule cnf_or_pos :args (@t161)) % 0.37/0.60 (step @p209 :rule reordering :premises (@p208) :args ((or @t153 @t160 (not @t161)))) % 0.37/0.60 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p205) :args (@t160 @t162 (@list @t153 @t161))) % 0.37/0.60 (assume-push @p217 @t163) % 0.37/0.60 (step @p212 :rule instantiate :premises (@p62) :args (@t158)) % 0.37/0.60 (step-pop @p218 :rule scope :premises (@p212)) % 0.37/0.60 (step @p213 :rule process_scope :premises (@p218) :args (@t159)) % 0.37/0.60 (step @p215 :rule implies_elim :premises (@p213)) % 0.37/0.60 (step @p216 false :rule chain_m_resolution :premises (@p215 @p210 @p62) :args (false @t162 (@list @t159 @t163))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------