%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL602^1 : TPTP v9.3.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 11:23:09 AM UTC 2026 % Result : Theorem 150.29s 151.51s % Output : Proof 150.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL602^1 : TPTP v9.3.1. Released v3.6.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n020.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.03/0.36 % CPULimit : 300 % 0.03/0.36 % WCLimit : 300 % 0.03/0.37 % DateTime : Sat Sep 5 11:49:12 UTC 2026 % 0.03/0.37 % CPUTime : % 0.03/0.44 %----Proving TH0 % 150.29/151.51 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.29/151.51 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.29/151.51 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.29/151.51 --- Run --ho-elim --full-saturate-quant at 18s... % 150.29/151.51 % SZS status Theorem % 150.29/151.51 % SZS output start Proof % 150.29/151.51 ( % 150.29/151.51 (declare-sort $$unsorted 0) % 150.29/151.51 (declare-sort tptp.individuals 0) % 150.29/151.51 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 150.29/151.51 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 150.29/151.51 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 150.29/151.51 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.29/151.51 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.29/151.51 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 150.29/151.51 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 150.29/151.51 (define tptp.mbox () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 150.29/151.51 (define tptp.mdia () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 150.29/151.51 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.29/151.51 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.29/151.51 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 150.29/151.51 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 150.29/151.51 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.29/151.51 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.29/151.51 (define tptp.cartesian_product () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" $$unsorted))) (let ((_let_4 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3 _let_1) (and (_ _let_4 _let_3) (_ _let_2 _let_1)))))))) % 150.29/151.51 (define tptp.pair_rel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "V" $$unsorted))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "U" $$unsorted))) (lambda (@list _let_3 _let_1 _let_4 _let_2) (or (= _let_4 _let_3) (= _let_2 _let_1)))))))) % 150.29/151.51 (define tptp.id_rel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_2) (= _let_2 _let_1))))))) % 150.29/151.51 (define tptp.sub_rel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R2" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R1" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 150.29/151.51 (define tptp.is_rel_on () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "A" (-> $$unsorted Bool)))) (let ((_let_5 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_5 _let_4 _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ _let_5 _let_3) _let_1) (and (_ _let_4 _let_3) (_ _let_2 _let_1))))))))))) % 150.29/151.51 (define tptp.restrict_rel_domain () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_4 _let_2 _let_1) (and (_ _let_4 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 150.29/151.51 (define tptp.rel_diagonal () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_1) (= _let_2 _let_1))))) % 150.29/151.51 (define tptp.rel_composition () (let ((_let_1 (@var "Z" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R2" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (@var "R1" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_5 _let_3 _let_4 _let_1) (exists (@list _let_2) (and (_ (_ _let_5 _let_4) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))) % 150.29/151.51 (define tptp.reflexive () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 150.29/151.51 (define tptp.irreflexive () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 150.29/151.51 (define tptp.symmetric () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 150.29/151.51 (define tptp.transitive () (let ((_let_1 (@var "Z" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "Y" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1)))))))))) % 150.29/151.51 (define tptp.equiv_rel () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.reflexive _let_1) (_ tptp.symmetric _let_1) (_ tptp.transitive _let_1))))) % 150.29/151.51 (define tptp.rel_codomain () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.29/151.51 (define tptp.rel_domain () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 150.29/151.51 (define tptp.rel_inverse () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 150.29/151.51 (define tptp.equiv_classes () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S1" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_4) (exists (@list _let_2) (and (_ _let_4 _let_2) (forall (@list _let_1) (= (_ _let_4 _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))) % 150.29/151.51 (define tptp.restrict_rel_codomain () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_4 _let_2 _let_1) (and (_ _let_4 _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 150.29/151.51 (define tptp.rel_field () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.rel_domain _let_2) _let_1) (_ (_ tptp.rel_codomain _let_2) _let_1)))))) % 150.29/151.51 (define tptp.well_founded () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Y" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (@var "Z" $$unsorted))) (lambda (@list _let_4) (forall (@list _let_2 _let_5) (=> (_ _let_2 _let_5) (exists (@list _let_3) (and (_ _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (not (_ _let_2 _let_1))))))))))))))) % 150.29/151.51 (define tptp.upwards_well_founded () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Y" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (@var "Z" $$unsorted))) (lambda (@list _let_4) (forall (@list _let_2 _let_5) (=> (_ _let_2 _let_5) (exists (@list _let_3) (and (_ _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_3) (not (_ _let_2 _let_1))))))))))))))) % 150.29/151.51 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.29/151.51 (define @t2 () (_ tptp.transitive @t1)) % 150.29/151.51 (define @t3 () (_ tptp.reflexive @t1)) % 150.29/151.51 (define @t4 () (and @t3 @t2)) % 150.29/151.51 (define @t5 () (@var "A" (-> $$unsorted Bool))) % 150.29/151.51 (define @t6 () (_ tptp.mbox @t1)) % 150.29/151.51 (define @t7 () (_ @t6 @t5)) % 150.29/151.51 (define @t8 () (_ tptp.mimpl @t7)) % 150.29/151.51 (define @t9 () (and (_ tptp.mvalid (_ @t8 (_ @t6 @t7))) (_ tptp.mvalid (_ @t8 @t5)))) % 150.29/151.51 (define @t10 () (@list @t5)) % 150.29/151.51 (define @t11 () (forall @t10 @t9)) % 150.29/151.51 (define @t12 () (= @t11 @t4)) % 150.29/151.51 (define @t13 () (@list @t1)) % 150.29/151.51 (define @t14 () (forall @t13 @t12)) % 150.29/151.51 (define @t15 () (not @t14)) % 150.29/151.51 (define @t16 () (@var "X" $$unsorted)) % 150.29/151.51 (define @t17 () (@list @t16)) % 150.29/151.51 (define @t18 () (lambda @t17 false)) % 150.29/151.51 (define @t19 () (lambda @t17 true)) % 150.29/151.51 (define @t20 () (@var "U" $$unsorted)) % 150.29/151.51 (define @t21 () (@var "X" (-> $$unsorted Bool))) % 150.29/151.51 (define @t22 () (_ @t21 @t20)) % 150.29/151.51 (define @t23 () (lambda (@list @t21 @t20) (not @t22))) % 150.29/151.51 (define @t24 () (@var "Y" (-> $$unsorted Bool))) % 150.29/151.51 (define @t25 () (_ @t24 @t20)) % 150.29/151.51 (define @t26 () (@list @t21 @t24 @t20)) % 150.29/151.51 (define @t27 () (lambda @t26 (or @t22 @t25))) % 150.29/151.51 (define @t28 () (lambda @t26 (and @t22 @t25))) % 150.29/151.51 (define @t29 () (@var "__flatten_var_0" $$unsorted)) % 150.29/151.51 (define @t30 () (@var "V" (-> $$unsorted Bool))) % 150.29/151.51 (define @t31 () (@var "U" (-> $$unsorted Bool))) % 150.29/151.51 (define @t32 () (@list @t31 @t30 @t29)) % 150.29/151.51 (define @t33 () (lambda @t32 (_ (_ (_ tptp.mor (_ tptp.mnot @t31)) @t30) @t29))) % 150.29/151.51 (define @t34 () (lambda @t32 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t31) @t30)) (_ (_ tptp.mimpl @t30) @t31)) @t29))) % 150.29/151.51 (define @t35 () (@var "Y" $$unsorted)) % 150.29/151.51 (define @t36 () (@var "P" (-> $$unsorted Bool))) % 150.29/151.51 (define @t37 () (_ @t36 @t35)) % 150.29/151.51 (define @t38 () (_ @t1 @t16)) % 150.29/151.51 (define @t39 () (_ @t38 @t35)) % 150.29/151.51 (define @t40 () (@list @t35)) % 150.29/151.51 (define @t41 () (forall @t40 (=> @t39 @t37))) % 150.29/151.51 (define @t42 () (@list @t1 @t36 @t16)) % 150.29/151.51 (define @t43 () (lambda @t42 @t41)) % 150.29/151.51 (define @t44 () (lambda @t42 (exists @t40 (and @t39 @t37)))) % 150.29/151.51 (define @t45 () (@var "W" $$unsorted)) % 150.29/151.51 (define @t46 () (@var "X" tptp.individuals)) % 150.29/151.51 (define @t47 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 150.29/151.51 (define @t48 () (_ (_ @t47 @t46) @t45)) % 150.29/151.51 (define @t49 () (@list @t46)) % 150.29/151.51 (define @t50 () (@list @t47 @t45)) % 150.29/151.51 (define @t51 () (lambda @t50 (forall @t49 @t48))) % 150.29/151.51 (define @t52 () (lambda @t50 (exists @t49 @t48))) % 150.29/151.51 (define @t53 () (_ @t36 @t45)) % 150.29/151.51 (define @t54 () (@list @t45)) % 150.29/151.51 (define @t55 () (forall @t54 @t53)) % 150.29/151.51 (define @t56 () (@list @t36)) % 150.29/151.51 (define @t57 () (lambda @t56 @t55)) % 150.29/151.51 (define @t58 () (lambda @t56 (exists @t54 @t53))) % 150.29/151.51 (define @t59 () (not @t53)) % 150.29/151.51 (define @t60 () (lambda @t56 (exists @t54 @t59))) % 150.29/151.51 (define @t61 () (lambda @t56 (forall @t54 @t59))) % 150.29/151.51 (define @t62 () (@var "V" $$unsorted)) % 150.29/151.51 (define @t63 () (lambda (@list @t21 @t24 @t20 @t62) (and @t22 (_ @t24 @t62)))) % 150.29/151.51 (define @t64 () (lambda (@list @t16 @t35 @t20 @t62) (or (= @t20 @t16) (= @t62 @t35)))) % 150.29/151.51 (define @t65 () (= @t16 @t35)) % 150.29/151.51 (define @t66 () (@var "S" (-> $$unsorted Bool))) % 150.29/151.51 (define @t67 () (_ @t66 @t16)) % 150.29/151.51 (define @t68 () (lambda (@list @t66 @t16 @t35) (and @t67 @t65))) % 150.29/151.51 (define @t69 () (@var "R2" (-> $$unsorted $$unsorted Bool))) % 150.29/151.51 (define @t70 () (@var "R1" (-> $$unsorted $$unsorted Bool))) % 150.29/151.51 (define @t71 () (_ (_ @t70 @t16) @t35)) % 150.29/151.51 (define @t72 () (@list @t16 @t35)) % 150.29/151.51 (define @t73 () (lambda (@list @t70 @t69) (forall @t72 (=> @t71 (_ (_ @t69 @t16) @t35))))) % 150.29/151.51 (define @t74 () (@var "B" (-> $$unsorted Bool))) % 150.29/151.51 (define @t75 () (lambda (@list @t1 @t5 @t74) (forall @t72 (=> @t39 (and (_ @t5 @t16) (_ @t74 @t35)))))) % 150.29/151.51 (define @t76 () (@list @t1 @t66 @t16 @t35)) % 150.29/151.51 (define @t77 () (lambda @t76 (and @t67 @t39))) % 150.29/151.51 (define @t78 () (lambda @t72 @t65)) % 150.29/151.51 (define @t79 () (@var "Z" $$unsorted)) % 150.29/151.51 (define @t80 () (lambda (@list @t70 @t69 @t16 @t79) (exists @t40 (and @t71 (_ (_ @t69 @t35) @t79))))) % 150.29/151.51 (define @t81 () (_ @t38 @t16)) % 150.29/151.51 (define @t82 () (forall @t17 @t81)) % 150.29/151.51 (define @t83 () (lambda @t13 @t82)) % 150.29/151.51 (define @t84 () (lambda @t13 (forall @t17 (not @t81)))) % 150.29/151.51 (define @t85 () (_ @t1 @t35)) % 150.29/151.51 (define @t86 () (_ @t85 @t16)) % 150.29/151.51 (define @t87 () (lambda @t13 (forall @t72 (=> @t39 @t86)))) % 150.29/151.51 (define @t88 () (_ @t38 @t79)) % 150.29/151.51 (define @t89 () (_ @t85 @t79)) % 150.29/151.51 (define @t90 () (and @t39 @t89)) % 150.29/151.51 (define @t91 () (@list @t16 @t35 @t79)) % 150.29/151.51 (define @t92 () (forall @t91 (=> @t90 @t88))) % 150.29/151.51 (define @t93 () (lambda @t13 @t92)) % 150.29/151.51 (define @t94 () (lambda @t13 (and @t3 (_ tptp.symmetric @t1) @t2))) % 150.29/151.51 (define @t95 () (lambda (@list @t1 @t35) (exists @t17 @t39))) % 150.29/151.51 (define @t96 () (@list @t1 @t16)) % 150.29/151.51 (define @t97 () (lambda @t96 (exists @t40 @t39))) % 150.29/151.51 (define @t98 () (lambda (@list @t1 @t16 @t35) @t86)) % 150.29/151.51 (define @t99 () (@var "S1" (-> $$unsorted Bool))) % 150.29/151.51 (define @t100 () (lambda (@list @t1 @t99) (exists @t17 (and (_ @t99 @t16) (forall @t40 (= (_ @t99 @t35) @t39)))))) % 150.29/151.51 (define @t101 () (lambda @t76 (and (_ @t66 @t35) @t39))) % 150.29/151.51 (define @t102 () (lambda @t96 (or (_ (_ tptp.rel_domain @t1) @t16) (_ (_ tptp.rel_codomain @t1) @t16)))) % 150.29/151.51 (define @t103 () (not (_ @t21 @t45))) % 150.29/151.51 (define @t104 () (_ @t21 @t35)) % 150.29/151.51 (define @t105 () (_ @t21 @t79)) % 150.29/151.51 (define @t106 () (@list @t21 @t79)) % 150.29/151.51 (define @t107 () (lambda @t13 (forall @t106 (=> @t105 (exists @t40 (and @t104 (forall @t54 (=> (_ @t85 @t45) @t103)))))))) % 150.29/151.51 (define @t108 () (lambda @t13 (forall @t106 (=> @t105 (exists @t40 (and @t104 (forall @t54 (=> (_ @t85 @t35) @t103)))))))) % 150.29/151.51 (define @t109 () (@var "BOUND_VARIABLE_8445" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.29/151.51 (define @t110 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.29/151.51 (define @t111 () (_ @t110 @t109 @t45)) % 150.29/151.51 (define @t112 () (_ @t110 @t109 @t35)) % 150.29/151.51 (define @t113 () (@var "BOUND_VARIABLE_8454" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.29/151.51 (define @t114 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.29/151.51 (define @t115 () (_ @t114 @t113 @t16)) % 150.29/151.51 (define @t116 () (and (forall @t17 (_ @t110 @t115 @t16)) (forall @t91 (or (not (_ @t110 @t115 @t35)) (not (_ @t110 (_ @t114 @t113 @t35) @t79)) (_ @t110 @t115 @t79))))) % 150.29/151.51 (define @t117 () (_ @t114 @t113 @t45)) % 150.29/151.51 (define @t118 () (not (_ @t110 @t117 @t35))) % 150.29/151.51 (define @t119 () (@list @t109 @t45)) % 150.29/151.51 (define @t120 () (@var "BOUND_VARIABLE_8384" $$unsorted)) % 150.29/151.51 (define @t121 () (@var "BOUND_VARIABLE_8467" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.29/151.51 (define @t122 () (_ @t110 @t121 @t120)) % 150.29/151.51 (define @t123 () (@var "BOUND_VARIABLE_8382" $$unsorted)) % 150.29/151.51 (define @t124 () (_ @t110 @t121 @t35)) % 150.29/151.51 (define @t125 () (@list @t121 @t45 @t123 @t120)) % 150.29/151.51 (define @t126 () (and (forall @t125 (or (not (forall @t40 (or @t118 @t124))) (not (_ @t110 @t117 @t123)) (not (_ @t110 (_ @t114 @t113 @t123) @t120)) @t122)) (forall @t119 (or (not (forall @t40 (or @t118 @t112))) @t111)))) % 150.29/151.51 (define @t127 () (@list @t113)) % 150.29/151.51 (define @t128 () (@quantifiers_skolemize (forall @t127 (= @t126 @t116)) 0)) % 150.29/151.51 (define @t129 () (_ @t114 @t128 @t45)) % 150.29/151.51 (define @t130 () (not (_ @t110 @t129 @t35))) % 150.29/151.51 (define @t131 () (forall @t119 (or (not (forall @t40 (or @t130 @t112))) @t111))) % 150.29/151.51 (define @t132 () (forall @t125 (or (not (forall @t40 (or @t130 @t124))) (not (_ @t110 @t129 @t123)) (not (_ @t110 (_ @t114 @t128 @t123) @t120)) @t122))) % 150.29/151.51 (define @t133 () (and @t132 @t131)) % 150.29/151.51 (define @t134 () (not @t133)) % 150.29/151.51 (define @t135 () (@quantifiers_skolemize @t131 1)) % 150.29/151.51 (define @t136 () (@quantifiers_skolemize @t131 0)) % 150.29/151.51 (define @t137 () (_ @t110 @t136 @t135)) % 150.29/151.51 (define @t138 () (_ @t114 @t128 @t135)) % 150.29/151.51 (define @t139 () (forall @t40 (or (not (_ @t110 @t138 @t35)) (_ @t110 @t136 @t35)))) % 150.29/151.51 (define @t140 () (not @t139)) % 150.29/151.51 (define @t141 () (or @t140 @t137)) % 150.29/151.51 (define @t142 () (not @t141)) % 150.29/151.51 (define @t143 () (not @t131)) % 150.29/151.51 (define @t144 () (forall @t127 (= @t116 @t126))) % 150.29/151.51 (define @t145 () (not @t144)) % 150.29/151.51 (define @t146 () (@var "BOUND_VARIABLE_8423" (-> $$unsorted Bool))) % 150.29/151.51 (define @t147 () (not (_ @t1 @t45 @t35))) % 150.29/151.51 (define @t148 () (or (not (forall @t40 (or @t147 (_ @t146 @t35)))) (_ @t146 @t45))) % 150.29/151.51 (define @t149 () (forall (@list @t146 @t45) @t148)) % 150.29/151.51 (define @t150 () (@var "BOUND_VARIABLE_8412" (-> $$unsorted Bool))) % 150.29/151.51 (define @t151 () (not (_ @t1 @t123 @t120))) % 150.29/151.51 (define @t152 () (not (_ @t1 @t45 @t123))) % 150.29/151.51 (define @t153 () (or (not (forall @t40 (or @t147 (_ @t150 @t35)))) @t152 @t151 (_ @t150 @t120))) % 150.29/151.51 (define @t154 () (forall (@list @t150 @t45 @t123 @t120) @t153)) % 150.29/151.51 (define @t155 () (_ @t1 @t16 @t79)) % 150.29/151.51 (define @t156 () (_ @t1 @t35 @t79)) % 150.29/151.51 (define @t157 () (_ @t1 @t16 @t35)) % 150.29/151.51 (define @t158 () (not @t157)) % 150.29/151.51 (define @t159 () (forall @t91 (or @t158 (not @t156) @t155))) % 150.29/151.51 (define @t160 () (_ @t1 @t16 @t16)) % 150.29/151.51 (define @t161 () (forall @t17 @t160)) % 150.29/151.51 (define @t162 () (forall (@list @t146) (forall @t54 @t148))) % 150.29/151.51 (define @t163 () (@list @t45 @t123 @t120)) % 150.29/151.51 (define @t164 () (forall (@list @t150) (forall @t163 @t153))) % 150.29/151.51 (define @t165 () (_ @t5 @t45)) % 150.29/151.51 (define @t166 () (_ @t5 @t35)) % 150.29/151.51 (define @t167 () (not (forall @t40 (or @t147 @t166)))) % 150.29/151.51 (define @t168 () (forall @t54 (or @t167 @t165))) % 150.29/151.51 (define @t169 () (forall @t10 @t168)) % 150.29/151.51 (define @t170 () (@list @t5)) % 150.29/151.51 (define @t171 () (_ @t5 @t120)) % 150.29/151.51 (define @t172 () (or @t167 @t152 @t151 @t171)) % 150.29/151.51 (define @t173 () (forall @t163 @t172)) % 150.29/151.51 (define @t174 () (forall @t10 @t173)) % 150.29/151.51 (define @t175 () (and @t174 @t169)) % 150.29/151.51 (define @t176 () (_ @t5 @t45)) % 150.29/151.51 (define @t177 () (or @t167 @t176)) % 150.29/151.51 (define @t178 () (not (_ @t1 @t29 @t35))) % 150.29/151.51 (define @t179 () (forall @t40 (or @t178 @t166))) % 150.29/151.51 (define @t180 () (not @t179)) % 150.29/151.51 (define @t181 () (@list @t29)) % 150.29/151.51 (define @t182 () (lambda @t181 (or @t180 (_ @t5 @t29)))) % 150.29/151.51 (define @t183 () (_ @t182 @t45)) % 150.29/151.51 (define @t184 () (forall @t54 @t183)) % 150.29/151.51 (define @t185 () (_ @t36 @t45)) % 150.29/151.51 (define @t186 () (lambda @t56 (forall @t54 @t185))) % 150.29/151.51 (define @t187 () (_ @t30 @t29)) % 150.29/151.51 (define @t188 () (@list @t30 @t29)) % 150.29/151.51 (define @t189 () (lambda @t188 (or @t180 @t187))) % 150.29/151.51 (define @t190 () (forall @t40 (or @t158 @t166))) % 150.29/151.51 (define @t191 () (lambda @t17 @t190)) % 150.29/151.51 (define @t192 () (_ @t191 @t29)) % 150.29/151.51 (define @t193 () (not @t192)) % 150.29/151.51 (define @t194 () (or @t193 @t187)) % 150.29/151.51 (define @t195 () (lambda @t188 @t194)) % 150.29/151.51 (define @t196 () (or (not (_ @t31 @t29)) @t187)) % 150.29/151.51 (define @t197 () (lambda @t32 @t196)) % 150.29/151.51 (define @t198 () (_ @t36 @t35)) % 150.29/151.51 (define @t199 () (forall @t40 (or @t158 @t198))) % 150.29/151.51 (define @t200 () (lambda (@list @t36 @t16) @t199)) % 150.29/151.51 (define @t201 () (_ (lambda @t42 @t199) @t1)) % 150.29/151.51 (define @t202 () (or @t152 @t151 @t171)) % 150.29/151.51 (define @t203 () (or @t167 @t202)) % 150.29/151.51 (define @t204 () (forall @t163 @t203)) % 150.29/151.51 (define @t205 () (@list @t123 @t120)) % 150.29/151.51 (define @t206 () (forall @t205 @t203)) % 150.29/151.51 (define @t207 () (forall @t205 @t202)) % 150.29/151.51 (define @t208 () (@var "BOUND_VARIABLE_8349" $$unsorted)) % 150.29/151.51 (define @t209 () (or @t167 @t207)) % 150.29/151.51 (define @t210 () (_ @t5 @t208)) % 150.29/151.51 (define @t211 () (not (_ @t1 @t35 @t208))) % 150.29/151.51 (define @t212 () (@list @t35 @t208)) % 150.29/151.51 (define @t213 () (or @t167 (forall @t212 (or @t147 @t211 @t210)))) % 150.29/151.51 (define @t214 () (forall @t212 (or @t178 @t211 @t210))) % 150.29/151.51 (define @t215 () (lambda @t181 (or @t180 @t214))) % 150.29/151.51 (define @t216 () (_ @t215 @t45)) % 150.29/151.51 (define @t217 () (forall @t54 @t216)) % 150.29/151.51 (define @t218 () (or @t158 @t211 @t210)) % 150.29/151.51 (define @t219 () (lambda @t17 (forall @t212 @t218))) % 150.29/151.51 (define @t220 () (_ @t219 @t29)) % 150.29/151.51 (define @t221 () (or @t180 @t220)) % 150.29/151.51 (define @t222 () (lambda @t181 @t221)) % 150.29/151.51 (define @t223 () (or @t211 @t210)) % 150.29/151.51 (define @t224 () (or @t158 @t223)) % 150.29/151.51 (define @t225 () (forall @t212 @t224)) % 150.29/151.51 (define @t226 () (@list @t208)) % 150.29/151.51 (define @t227 () (forall @t226 @t224)) % 150.29/151.51 (define @t228 () (forall @t226 @t223)) % 150.29/151.51 (define @t229 () (@var "BOUND_VARIABLE_8333" $$unsorted)) % 150.29/151.51 (define @t230 () (@list @t229)) % 150.29/151.51 (define @t231 () (or @t158 @t228)) % 150.29/151.51 (define @t232 () (_ @t5 @t229)) % 150.29/151.51 (define @t233 () (@list @t229)) % 150.29/151.51 (define @t234 () (forall @t233 (or (not (_ @t1 @t35 @t229)) @t232))) % 150.29/151.51 (define @t235 () (or @t158 (_ @t191 @t35))) % 150.29/151.51 (define @t236 () (forall @t40 @t235)) % 150.29/151.51 (define @t237 () (lambda @t17 @t236)) % 150.29/151.51 (define @t238 () (_ @t201 @t5)) % 150.29/151.51 (define @t239 () (_ @t197 @t238)) % 150.29/151.51 (define @t240 () (and (_ @t186 (_ @t239 (_ @t201 @t238))) (_ @t186 (_ @t239 @t5)))) % 150.29/151.51 (define @t241 () (forall @t10 @t240)) % 150.29/151.51 (define @t242 () (_ (lambda @t13 @t159) @t1)) % 150.29/151.51 (define @t243 () (_ (lambda @t13 @t161) @t1)) % 150.29/151.51 (define @t244 () (and @t243 @t242)) % 150.29/151.51 (define @t245 () (forall @t13 (= @t241 @t244))) % 150.29/151.51 (define @t246 () (not @t89)) % 150.29/151.51 (define @t247 () (not @t39)) % 150.29/151.51 (define @t248 () (or @t247 @t246 @t88)) % 150.29/151.51 (define @t249 () (or @t247 @t37)) % 150.29/151.51 (define @t250 () (not (_ @t31 @t20))) % 150.29/151.51 (define @t251 () (@list @t20)) % 150.29/151.51 (define @t252 () (lambda @t251 (or @t250 (_ @t30 @t20)))) % 150.29/151.51 (define @t253 () (@list @t24 @t20)) % 150.29/151.51 (define @t254 () (lambda @t251 @t250)) % 150.29/151.51 (define @t255 () (_ @t254 @t20)) % 150.29/151.51 (define @t256 () (or @t255 @t25)) % 150.29/151.51 (define @t257 () (lambda @t253 @t256)) % 150.29/151.51 (define @t258 () (_ @t114 @t128 @t16)) % 150.29/151.51 (define @t259 () (forall @t91 (or (not (_ @t110 @t258 @t35)) (not (_ @t110 (_ @t114 @t128 @t35) @t79)) (_ @t110 @t258 @t79)))) % 150.29/151.51 (define @t260 () (forall @t17 (_ @t110 @t258 @t16))) % 150.29/151.51 (define @t261 () (and @t260 @t259)) % 150.29/151.51 (define @t262 () (= @t133 @t261)) % 150.29/151.51 (define @t263 () (not @t261)) % 150.29/151.51 (define @t264 () (@list @t135)) % 150.29/151.51 (define @t265 () (_ @t110 @t138 @t135)) % 150.29/151.51 (define @t266 () (not @t265)) % 150.29/151.51 (define @t267 () (or @t266 @t137)) % 150.29/151.51 (define @t268 () (@quantifiers_skolemize @t259 2)) % 150.29/151.51 (define @t269 () (@quantifiers_skolemize @t259 0)) % 150.29/151.51 (define @t270 () (_ @t114 @t128 @t269)) % 150.29/151.51 (define @t271 () (_ @t110 @t270 @t268)) % 150.29/151.51 (define @t272 () (@quantifiers_skolemize @t259 1)) % 150.29/151.51 (define @t273 () (not (_ @t110 (_ @t114 @t128 @t272) @t268))) % 150.29/151.51 (define @t274 () (not (_ @t110 @t270 @t272))) % 150.29/151.51 (define @t275 () (or @t274 @t273 @t271)) % 150.29/151.51 (define @t276 () (_ @t110 @t270 @t35)) % 150.29/151.51 (define @t277 () (forall @t40 (or (not @t276) @t276))) % 150.29/151.51 (define @t278 () (not @t277)) % 150.29/151.51 (define @t279 () (or @t278 @t274 @t273 @t271)) % 150.29/151.51 (define @t280 () (not @t275)) % 150.29/151.51 (define @t281 () (not @t259)) % 150.29/151.51 (define @t282 () (@quantifiers_skolemize @t260 0)) % 150.29/151.51 (define @t283 () (_ @t114 @t128 @t282)) % 150.29/151.51 (define @t284 () (_ @t110 @t283 @t282)) % 150.29/151.51 (define @t285 () (_ @t110 @t283 @t35)) % 150.29/151.51 (define @t286 () (forall @t40 (or (not @t285) @t285))) % 150.29/151.51 (define @t287 () (not @t286)) % 150.29/151.51 (define @t288 () (or @t287 @t284)) % 150.29/151.51 (define @t289 () (not @t284)) % 150.29/151.51 (define @t290 () (not @t260)) % 150.29/151.51 (define @t291 () (not @t132)) % 150.29/151.51 (define @t292 () (@list false)) % 150.29/151.51 (define @t293 () (@quantifiers_skolemize @t132 3)) % 150.29/151.51 (define @t294 () (@quantifiers_skolemize @t132 0)) % 150.29/151.51 (define @t295 () (_ @t110 @t294 @t293)) % 150.29/151.51 (define @t296 () (@quantifiers_skolemize @t132 2)) % 150.29/151.51 (define @t297 () (_ @t110 (_ @t114 @t128 @t296) @t293)) % 150.29/151.51 (define @t298 () (not @t297)) % 150.29/151.51 (define @t299 () (@quantifiers_skolemize @t132 1)) % 150.29/151.51 (define @t300 () (_ @t114 @t128 @t299)) % 150.29/151.51 (define @t301 () (_ @t110 @t300 @t296)) % 150.29/151.51 (define @t302 () (not @t301)) % 150.29/151.51 (define @t303 () (forall @t40 (or (not (_ @t110 @t300 @t35)) (_ @t110 @t294 @t35)))) % 150.29/151.51 (define @t304 () (not @t303)) % 150.29/151.51 (define @t305 () (or @t304 @t302 @t298 @t295)) % 150.29/151.51 (define @t306 () (not @t305)) % 150.29/151.51 (define @t307 () (@list true)) % 150.29/151.51 (define @t308 () (@list @t132)) % 150.29/151.51 (define @t309 () (@list @t305)) % 150.29/151.51 (define @t310 () (_ @t110 @t300 @t293)) % 150.29/151.51 (define @t311 () (not @t310)) % 150.29/151.51 (define @t312 () (or @t311 @t295)) % 150.29/151.51 (define @t313 () (or @t302 @t298 @t310)) % 150.29/151.51 (assume @p1 @t15) % 150.29/151.51 (assume @p2 true) % 150.29/151.51 (step @p3 (= tptp.mfalse @t18) :rule refl :args (@t18)) % 150.29/151.51 (step @p4 (= tptp.mtrue @t19) :rule refl :args (@t19)) % 150.29/151.51 (step @p5 (= tptp.mnot @t23) :rule refl :args (@t23)) % 150.29/151.51 (step @p6 (= tptp.mor @t27) :rule refl :args (@t27)) % 150.29/151.51 (step @p7 (= tptp.mand @t28) :rule refl :args (@t28)) % 150.29/151.51 (step @p8 (= tptp.mimpl @t33) :rule refl :args (@t33)) % 150.29/151.51 (step @p9 (= tptp.miff @t34) :rule refl :args (@t34)) % 150.29/151.51 (step @p10 (= tptp.mbox @t43) :rule refl :args (@t43)) % 150.29/151.51 (step @p11 (= tptp.mdia @t44) :rule refl :args (@t44)) % 150.29/151.51 (step @p12 (= tptp.mall @t51) :rule refl :args (@t51)) % 150.29/151.51 (step @p13 (= tptp.mexists @t52) :rule refl :args (@t52)) % 150.29/151.51 (step @p14 (= tptp.mvalid @t57) :rule refl :args (@t57)) % 150.29/151.51 (step @p15 (= tptp.msatisfiable @t58) :rule refl :args (@t58)) % 150.29/151.51 (step @p16 (= tptp.mcountersatisfiable @t60) :rule refl :args (@t60)) % 150.29/151.51 (step @p17 (= tptp.minvalid @t61) :rule refl :args (@t61)) % 150.29/151.51 (step @p18 (= tptp.cartesian_product @t63) :rule refl :args (@t63)) % 150.29/151.51 (step @p19 (= tptp.pair_rel @t64) :rule refl :args (@t64)) % 150.29/151.51 (step @p20 (= tptp.id_rel @t68) :rule refl :args (@t68)) % 150.29/151.51 (step @p21 (= tptp.sub_rel @t73) :rule refl :args (@t73)) % 150.29/151.51 (step @p22 (= tptp.is_rel_on @t75) :rule refl :args (@t75)) % 150.29/151.51 (step @p23 (= tptp.restrict_rel_domain @t77) :rule refl :args (@t77)) % 150.29/151.51 (step @p24 (= tptp.rel_diagonal @t78) :rule refl :args (@t78)) % 150.29/151.51 (step @p25 (= tptp.rel_composition @t80) :rule refl :args (@t80)) % 150.29/151.51 (step @p26 (= tptp.reflexive @t83) :rule refl :args (@t83)) % 150.29/151.51 (step @p27 (= tptp.irreflexive @t84) :rule refl :args (@t84)) % 150.29/151.51 (step @p28 (= tptp.symmetric @t87) :rule refl :args (@t87)) % 150.29/151.51 (step @p29 (= tptp.transitive @t93) :rule refl :args (@t93)) % 150.29/151.51 (step @p30 (= tptp.equiv_rel @t94) :rule refl :args (@t94)) % 150.29/151.51 (step @p31 (= tptp.rel_codomain @t95) :rule refl :args (@t95)) % 150.29/151.51 (step @p32 (= tptp.rel_domain @t97) :rule refl :args (@t97)) % 150.29/151.51 (step @p33 (= tptp.rel_inverse @t98) :rule refl :args (@t98)) % 150.29/151.51 (step @p34 (= tptp.equiv_classes @t100) :rule refl :args (@t100)) % 150.29/151.51 (step @p35 (= tptp.restrict_rel_codomain @t101) :rule refl :args (@t101)) % 150.29/151.51 (step @p36 (= tptp.rel_field @t102) :rule refl :args (@t102)) % 150.29/151.51 (step @p37 (= tptp.well_founded @t107) :rule refl :args (@t107)) % 150.29/151.51 (step @p38 (= tptp.upwards_well_founded @t108) :rule refl :args (@t108)) % 150.29/151.51 (step @p39 :rule cnf_and_pos :args (@t133 1)) % 150.29/151.51 (step @p40 :rule reordering :premises (@p39) :args ((or @t131 @t134))) % 150.29/151.51 (step @p41 :rule refl :args (@t142)) % 150.29/151.51 (step @p42 :rule bool-double-not-elim :args (@t131)) % 150.29/151.51 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t143) @t142))) % 150.29/151.51 (assume-push @p406 @t143) % 150.29/151.51 (step @p45 :rule skolemize :premises (@p406)) % 150.29/151.51 (step-pop @p407 :rule scope :premises (@p45)) % 150.29/151.51 (step @p46 :rule process_scope :premises (@p407) :args (@t142)) % 150.29/151.51 (step @p48 :rule implies_elim :premises (@p46)) % 150.29/151.51 (step @p49 :rule eq_resolve :premises (@p48 @p43)) % 150.29/151.51 (step @p50 :rule eq-symm :args (@t116 @t126)) % 150.29/151.51 (step @p51 :rule cong :premises (@p50) :args (@t144)) % 150.29/151.51 (step @p52 :rule cong :premises (@p51) :args (@t145)) % 150.29/151.51 ; WARNING: add trust step for TRUST % 150.29/151.51 ; trust TRUST PREPROCESS_HO_ELIM % 150.29/151.51 (step @p53 :rule trust :premises () :args ((= (not (forall @t13 (= (and @t161 @t159) (and @t154 @t149)))) @t145))) % 150.29/151.51 (step @p54 :rule quant-merge-prenex :args ((= @t162 @t149))) % 150.29/151.51 (step @p55 :rule quant-merge-prenex :args ((= @t164 @t154))) % 150.29/151.51 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((and @t164 @t162))) % 150.29/151.51 (step @p57 :rule alpha_equiv :args (@t169 @t170 (@list @t146))) % 150.29/151.51 (step @p58 :rule alpha_equiv :args (@t174 @t170 (@list @t150))) % 150.29/151.51 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t175)) % 150.29/151.51 (step @p60 :rule quant-miniscope-and :args ((= (forall @t10 (and @t173 @t168)) @t175))) % 150.29/151.51 (step @p61 :rule trans :premises (@p60 @p59)) % 150.29/151.51 (step @p62 :rule trans :premises (@p61 @p56)) % 150.29/151.51 (step @p63 :rule refl :args (@t165)) % 150.29/151.51 (step @p64 :rule refl :args (@t176)) % 150.29/151.51 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t176 @t165))) % 150.29/151.51 (step @p66 :rule symm :premises (@p65)) % 150.29/151.51 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 150.29/151.51 (step @p68 :rule refl :args (@t167)) % 150.29/151.51 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t177)) % 150.29/151.51 (step @p70 :rule cong :premises (@p69) :args ((forall @t54 @t177))) % 150.29/151.51 (step @p71 :rule beta-reduce :args ((= @t183 @t177))) % 150.29/151.51 (step @p72 :rule cong :premises (@p71) :args (@t184)) % 150.29/151.51 (step @p73 :rule trans :premises (@p72 @p70)) % 150.29/151.51 (step @p74 :rule beta-reduce :args ((= (_ @t186 @t182) @t184))) % 150.29/151.51 (step @p75 :rule trans :premises (@p74 @p73)) % 150.29/151.51 (step @p76 :rule beta-reduce :args ((= (_ @t189 @t5) @t182))) % 150.29/151.51 (step @p77 :rule refl :args (@t5)) % 150.29/151.51 (step @p78 :rule refl :args (@t187)) % 150.29/151.51 (step @p79 :rule beta-reduce :args ((= @t192 @t179))) % 150.29/151.51 (step @p80 :rule cong :premises (@p79) :args (@t193)) % 150.29/151.51 (step @p81 :rule nary_cong :premises (@p80 @p78) :args (@t194)) % 150.29/151.51 (step @p82 :rule cong :premises (@p81) :args (@t195)) % 150.29/151.51 (step @p83 :rule beta-reduce :args ((= (_ @t197 @t191) @t195))) % 150.29/151.51 (step @p84 :rule trans :premises (@p83 @p82)) % 150.29/151.51 (step @p85 :rule beta-reduce :args ((= (_ @t200 @t5) @t191))) % 150.29/151.51 (step @p86 :rule beta-reduce :args ((= @t201 @t200))) % 150.29/151.51 (step @p87 :rule ho_cong :premises (@p86 @p77)) % 150.29/151.51 (step @p88 :rule trans :premises (@p87 @p85)) % 150.29/151.51 (step @p89 :rule refl :args (@t197)) % 150.29/151.51 (step @p90 :rule ho_cong :premises (@p89 @p88)) % 150.29/151.51 (step @p91 :rule trans :premises (@p90 @p84)) % 150.29/151.51 (step @p92 :rule ho_cong :premises (@p91 @p77)) % 150.29/151.51 (step @p93 :rule trans :premises (@p92 @p76)) % 150.29/151.51 (step @p94 :rule refl :args (@t186)) % 150.29/151.51 (step @p95 :rule ho_cong :premises (@p94 @p93)) % 150.29/151.51 (step @p96 :rule trans :premises (@p95 @p75)) % 150.29/151.51 (step @p97 :rule aci_norm :args ((= @t203 @t172))) % 150.29/151.51 (step @p98 :rule cong :premises (@p97) :args (@t204)) % 150.29/151.51 (step @p99 :rule quant-merge-prenex :args ((= (forall @t54 @t206) @t204))) % 150.29/151.51 (step @p100 :rule alpha_equiv :args (@t207 (@list @t123 @t120) (@list @t35 @t208))) % 150.29/151.51 (step @p101 :rule nary_cong :premises (@p68 @p100) :args (@t209)) % 150.29/151.51 (step @p102 :rule quant-miniscope-or :args ((= @t206 @t209))) % 150.29/151.51 (step @p103 :rule trans :premises (@p102 @p101)) % 150.29/151.51 (step @p104 :rule symm :premises (@p103)) % 150.29/151.51 (step @p105 :rule cong :premises (@p104) :args ((forall @t54 @t213))) % 150.29/151.51 (step @p106 :rule trans :premises (@p105 @p99)) % 150.29/151.51 (step @p107 :rule trans :premises (@p106 @p98)) % 150.29/151.51 (step @p108 :rule beta-reduce :args ((= @t216 @t213))) % 150.29/151.51 (step @p109 :rule cong :premises (@p108) :args (@t217)) % 150.29/151.51 (step @p110 :rule trans :premises (@p109 @p107)) % 150.29/151.51 (step @p111 :rule beta-reduce :args ((= (_ @t186 @t215) @t217))) % 150.29/151.51 (step @p112 :rule trans :premises (@p111 @p110)) % 150.29/151.51 (step @p113 :rule beta-reduce :args ((= @t220 @t214))) % 150.29/151.51 (step @p114 :rule refl :args (@t180)) % 150.29/151.51 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t221)) % 150.29/151.51 (step @p116 :rule cong :premises (@p115) :args (@t222)) % 150.29/151.51 (step @p117 :rule beta-reduce :args ((= (_ @t189 @t219) @t222))) % 150.29/151.51 (step @p118 :rule trans :premises (@p117 @p116)) % 150.29/151.51 (step @p119 :rule aci_norm :args ((= @t224 @t218))) % 150.29/151.51 (step @p120 :rule cong :premises (@p119) :args (@t225)) % 150.29/151.51 (step @p121 :rule quant-merge-prenex :args ((= (forall @t40 @t227) @t225))) % 150.29/151.51 (step @p122 :rule alpha_equiv :args (@t228 (@list @t208) @t230)) % 150.29/151.51 (step @p123 :rule refl :args (@t158)) % 150.29/151.51 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t231)) % 150.29/151.51 (step @p125 :rule quant-miniscope-or :args ((= @t227 @t231))) % 150.29/151.51 (step @p126 :rule trans :premises (@p125 @p124)) % 150.29/151.51 (step @p127 :rule symm :premises (@p126)) % 150.29/151.51 (step @p128 :rule cong :premises (@p127) :args ((forall @t40 (or @t158 @t234)))) % 150.29/151.51 (step @p129 :rule trans :premises (@p128 @p121)) % 150.29/151.51 (step @p130 :rule trans :premises (@p129 @p120)) % 150.29/151.51 (step @p131 :rule beta-reduce :args ((= (_ (lambda @t17 (forall @t233 (or (not (_ @t1 @t16 @t229)) @t232))) @t35) @t234))) % 150.29/151.51 (step @p132 :rule refl :args (@t35)) % 150.29/151.51 (step @p133 :rule alpha_equiv :args (@t190 (@list @t35) @t230)) % 150.29/151.51 (step @p134 :rule cong :premises (@p133) :args (@t191)) % 150.29/151.51 (step @p135 :rule ho_cong :premises (@p134 @p132)) % 150.29/151.51 (step @p136 :rule trans :premises (@p135 @p131)) % 150.29/151.51 (step @p137 :rule refl :args (@t158)) % 150.29/151.51 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t235)) % 150.29/151.51 (step @p139 :rule cong :premises (@p138) :args (@t236)) % 150.29/151.51 (step @p140 :rule trans :premises (@p139 @p130)) % 150.29/151.51 (step @p141 :rule cong :premises (@p140) :args (@t237)) % 150.29/151.51 (step @p142 :rule beta-reduce :args ((= (_ @t200 @t191) @t237))) % 150.29/151.51 (step @p143 :rule trans :premises (@p142 @p141)) % 150.29/151.51 (step @p144 :rule ho_cong :premises (@p86 @p88)) % 150.29/151.51 (step @p145 :rule trans :premises (@p144 @p143)) % 150.29/151.51 (step @p146 :rule ho_cong :premises (@p91 @p145)) % 150.29/151.51 (step @p147 :rule trans :premises (@p146 @p118)) % 150.29/151.51 (step @p148 :rule ho_cong :premises (@p94 @p147)) % 150.29/151.51 (step @p149 :rule trans :premises (@p148 @p112)) % 150.29/151.51 (step @p150 :rule nary_cong :premises (@p149 @p96) :args (@t240)) % 150.29/151.51 (step @p151 :rule cong :premises (@p150) :args (@t241)) % 150.29/151.51 (step @p152 :rule trans :premises (@p151 @p62)) % 150.29/151.51 (step @p153 :rule beta-reduce :args ((= @t242 @t159))) % 150.29/151.51 (step @p154 :rule beta-reduce :args ((= @t243 @t161))) % 150.29/151.51 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t244)) % 150.29/151.51 (step @p156 :rule cong :premises (@p155 @p152) :args ((= @t244 @t241))) % 150.29/151.51 (step @p157 :rule eq-symm :args (@t241 @t244)) % 150.29/151.51 (step @p158 :rule trans :premises (@p157 @p156)) % 150.29/151.51 (step @p159 :rule cong :premises (@p158) :args (@t245)) % 150.29/151.51 (step @p160 :rule cong :premises (@p159) :args ((not @t245))) % 150.29/151.51 (step @p161 :rule refl :args (@t1)) % 150.29/151.51 (step @p162 :rule refl :args (@t155)) % 150.29/151.51 (step @p163 :rule refl :args (@t88)) % 150.29/151.51 (step @p164 :rule cong :premises (@p163 @p162) :args ((= @t88 @t155))) % 150.29/151.51 (step @p165 :rule symm :premises (@p164)) % 150.29/151.51 (step @p166 :rule eq_resolve :premises (@p163 @p165)) % 150.29/151.51 (step @p167 :rule refl :args (@t156)) % 150.29/151.51 (step @p168 :rule refl :args (@t89)) % 150.29/151.51 (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t89 @t156))) % 150.29/151.51 (step @p170 :rule symm :premises (@p169)) % 150.29/151.51 (step @p171 :rule eq_resolve :premises (@p168 @p170)) % 150.29/151.51 (step @p172 :rule cong :premises (@p171) :args (@t246)) % 150.29/151.51 (step @p173 :rule refl :args (@t157)) % 150.29/151.51 (step @p174 :rule refl :args (@t39)) % 150.29/151.51 (step @p175 :rule cong :premises (@p174 @p173) :args ((= @t39 @t157))) % 150.29/151.51 (step @p176 :rule symm :premises (@p175)) % 150.29/151.51 (step @p177 :rule eq_resolve :premises (@p174 @p176)) % 150.29/151.51 (step @p178 :rule cong :premises (@p177) :args (@t247)) % 150.29/151.51 (step @p179 :rule nary_cong :premises (@p178 @p172 @p166) :args (@t248)) % 150.29/151.51 (step @p180 :rule cong :premises (@p179) :args ((forall @t91 @t248))) % 150.29/151.51 (step @p181 :rule aci_norm :args ((= (or (or @t247 @t246) @t88) @t248))) % 150.29/151.51 (step @p182 :rule bool-and-de-morgan :args (@t39 @t89 true)) % 150.29/151.51 (step @p183 :rule nary_cong :premises (@p182 @p163) :args ((or (not @t90) @t88))) % 150.29/151.51 (step @p184 :rule trans :premises (@p183 @p181)) % 150.29/151.51 (step @p185 :rule bool-impl-elim :args (@t90 @t88)) % 150.29/151.51 (step @p186 :rule trans :premises (@p185 @p184)) % 150.29/151.51 (step @p187 :rule cong :premises (@p186) :args (@t92)) % 150.29/151.51 (step @p188 :rule trans :premises (@p187 @p180)) % 150.29/151.51 (step @p189 :rule cong :premises (@p188) :args (@t93)) % 150.29/151.51 (step @p190 :rule trans :premises (@p29 @p189)) % 150.29/151.51 (step @p191 :rule ho_cong :premises (@p190 @p161)) % 150.29/151.51 (step @p192 :rule refl :args (@t160)) % 150.29/151.51 (step @p193 :rule refl :args (@t81)) % 150.29/151.51 (step @p194 :rule cong :premises (@p193 @p192) :args ((= @t81 @t160))) % 150.29/151.51 (step @p195 :rule symm :premises (@p194)) % 150.29/151.51 (step @p196 :rule eq_resolve :premises (@p193 @p195)) % 150.29/151.51 (step @p197 :rule cong :premises (@p196) :args (@t82)) % 150.29/151.51 (step @p198 :rule cong :premises (@p197) :args (@t83)) % 150.29/151.51 (step @p199 :rule trans :premises (@p26 @p198)) % 150.29/151.51 (step @p200 :rule ho_cong :premises (@p199 @p161)) % 150.29/151.51 (step @p201 :rule nary_cong :premises (@p200 @p191) :args (@t4)) % 150.29/151.51 (step @p202 :rule refl :args (@t198)) % 150.29/151.51 (step @p203 :rule refl :args (@t37)) % 150.29/151.51 (step @p204 :rule cong :premises (@p203 @p202) :args ((= @t37 @t198))) % 150.29/151.51 (step @p205 :rule symm :premises (@p204)) % 150.29/151.51 (step @p206 :rule eq_resolve :premises (@p203 @p205)) % 150.29/151.51 (step @p207 :rule nary_cong :premises (@p178 @p206) :args (@t249)) % 150.29/151.51 (step @p208 :rule cong :premises (@p207) :args ((forall @t40 @t249))) % 150.29/151.51 (step @p209 :rule bool-impl-elim :args (@t39 @t37)) % 150.29/151.51 (step @p210 :rule cong :premises (@p209) :args (@t41)) % 150.29/151.51 (step @p211 :rule trans :premises (@p210 @p208)) % 150.29/151.51 (step @p212 :rule cong :premises (@p211) :args (@t43)) % 150.29/151.51 (step @p213 :rule trans :premises (@p10 @p212)) % 150.29/151.51 (step @p214 :rule ho_cong :premises (@p213 @p161)) % 150.29/151.51 (step @p215 :rule ho_cong :premises (@p214 @p77)) % 150.29/151.51 (step @p216 :rule beta-reduce :args ((= (_ @t252 @t29) @t196))) % 150.29/151.51 (step @p217 :rule refl :args (@t29)) % 150.29/151.51 (step @p218 :rule beta-reduce :args ((= (_ (lambda @t253 (or @t250 @t25)) @t30) @t252))) % 150.29/151.51 (step @p219 :rule refl :args (@t30)) % 150.29/151.51 (step @p220 :rule refl :args (@t25)) % 150.29/151.51 (step @p221 :rule beta-reduce :args ((= @t255 @t250))) % 150.29/151.51 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t256)) % 150.29/151.51 (step @p223 :rule cong :premises (@p222) :args (@t257)) % 150.29/151.51 (step @p224 :rule beta-reduce :args ((= (_ @t27 @t254) @t257))) % 150.29/151.51 (step @p225 :rule trans :premises (@p224 @p223)) % 150.29/151.51 (step @p226 :rule beta-reduce :args ((= (_ @t23 @t31) @t254))) % 150.29/151.51 (step @p227 :rule refl :args (@t27)) % 150.29/151.51 (step @p228 :rule ho_cong :premises (@p227 @p226)) % 150.29/151.51 (step @p229 :rule trans :premises (@p228 @p225)) % 150.29/151.51 (step @p230 :rule ho_cong :premises (@p229 @p219)) % 150.29/151.51 (step @p231 :rule trans :premises (@p230 @p218)) % 150.29/151.51 (step @p232 :rule ho_cong :premises (@p231 @p217)) % 150.29/151.51 (step @p233 :rule trans :premises (@p232 @p216)) % 150.29/151.51 (step @p234 :rule refl :args (@t31)) % 150.29/151.51 (step @p235 :rule ho_cong :premises (@p5 @p234)) % 150.29/151.51 (step @p236 :rule ho_cong :premises (@p6 @p235)) % 150.29/151.51 (step @p237 :rule ho_cong :premises (@p236 @p219)) % 150.29/151.51 (step @p238 :rule ho_cong :premises (@p237 @p217)) % 150.29/151.51 (step @p239 :rule trans :premises (@p238 @p233)) % 150.29/151.51 (step @p240 :rule cong :premises (@p239) :args (@t33)) % 150.29/151.51 (step @p241 :rule trans :premises (@p8 @p240)) % 150.29/151.51 (step @p242 :rule ho_cong :premises (@p241 @p215)) % 150.29/151.51 (step @p243 :rule ho_cong :premises (@p242 @p77)) % 150.29/151.51 (step @p244 :rule refl :args (@t185)) % 150.29/151.51 (step @p245 :rule refl :args (@t53)) % 150.29/151.51 (step @p246 :rule cong :premises (@p245 @p244) :args ((= @t53 @t185))) % 150.29/151.51 (step @p247 :rule symm :premises (@p246)) % 150.29/151.51 (step @p248 :rule eq_resolve :premises (@p245 @p247)) % 150.29/151.51 (step @p249 :rule cong :premises (@p248) :args (@t55)) % 150.29/151.51 (step @p250 :rule cong :premises (@p249) :args (@t57)) % 150.29/151.51 (step @p251 :rule trans :premises (@p14 @p250)) % 150.29/151.51 (step @p252 :rule ho_cong :premises (@p251 @p243)) % 150.29/151.51 (step @p253 :rule ho_cong :premises (@p214 @p215)) % 150.29/151.51 (step @p254 :rule ho_cong :premises (@p242 @p253)) % 150.29/151.51 (step @p255 :rule ho_cong :premises (@p251 @p254)) % 150.29/151.51 (step @p256 :rule nary_cong :premises (@p255 @p252) :args (@t9)) % 150.29/151.51 (step @p257 :rule cong :premises (@p256) :args (@t11)) % 150.29/151.51 (step @p258 :rule cong :premises (@p257 @p201) :args (@t12)) % 150.29/151.51 (step @p259 :rule cong :premises (@p258) :args (@t14)) % 150.29/151.51 (step @p260 :rule cong :premises (@p259) :args (@t15)) % 150.29/151.51 (step @p261 :rule trans :premises (@p260 @p160)) % 150.29/151.51 (step @p262 :rule trans :premises (@p261 @p53 @p52)) % 150.29/151.51 (step @p263 :rule eq_resolve :premises (@p1 @p262)) % 150.29/151.51 (step @p264 :rule skolemize :premises (@p263)) % 150.29/151.51 (step @p265 :rule cnf_equiv_neg1 :args (@t262)) % 150.29/151.51 (step @p266 :rule reordering :premises (@p265) :args ((or @t133 @t261 @t262))) % 150.29/151.51 (step @p267 :rule bool-double-not-elim :args (@t139)) % 150.29/151.51 (step @p268 :rule refl :args (@t141)) % 150.29/151.51 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or @t141 (not @t140)))) % 150.29/151.51 (step @p270 :rule cnf_or_neg :args (@t141 0)) % 150.29/151.51 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 150.29/151.51 (step @p272 :rule reordering :premises (@p271) :args ((or @t139 @t141))) % 150.29/151.51 (step @p273 :rule cnf_or_neg :args (@t141 1)) % 150.29/151.51 (step @p274 :rule cnf_and_pos :args (@t261 0)) % 150.29/151.51 (step @p275 :rule reordering :premises (@p274) :args ((or @t260 @t263))) % 150.29/151.51 (assume-push @p408 @t139) % 150.29/151.51 (step @p277 :rule instantiate :premises (@p408) :args (@t264)) % 150.29/151.51 (step-pop @p409 :rule scope :premises (@p277)) % 150.29/151.51 (step @p278 :rule process_scope :premises (@p409) :args (@t267)) % 150.29/151.51 (step @p280 :rule implies_elim :premises (@p278)) % 150.29/151.51 (step @p281 :rule cnf_or_pos :args (@t267)) % 150.29/151.51 (step @p282 :rule reordering :premises (@p281) :args ((or @t137 @t266 (not @t267)))) % 150.29/151.51 (assume-push @p410 @t260) % 150.29/151.51 (step @p284 :rule instantiate :premises (@p410) :args (@t264)) % 150.29/151.51 (step-pop @p411 :rule scope :premises (@p284)) % 150.29/151.51 (step @p285 :rule process_scope :premises (@p411) :args (@t265)) % 150.29/151.51 (step @p287 :rule implies_elim :premises (@p285)) % 150.29/151.51 (step @p288 :rule chain_m_resolution :premises (@p287 @p282 @p280 @p275 @p273 @p272 @p266 @p264 @p49 @p40) :args (@t131 (@list true false false true false false true true true) (@list @t265 @t267 @t260 @t137 @t139 @t261 @t262 @t141 @t133))) % 150.29/151.51 (step @p289 :rule aci_norm :args ((= (or false @t274 @t273 @t271) @t275))) % 150.29/151.51 (step @p290 :rule refl :args (@t271)) % 150.29/151.51 (step @p291 :rule refl :args (@t273)) % 150.29/151.51 (step @p292 :rule refl :args (@t274)) % 150.29/151.51 (step @p293 :rule evaluate :args ((not true))) % 150.29/151.51 (step @p294 :rule quant-unused-vars :args ((= (forall @t40 true) true))) % 150.29/151.51 (step @p295 :rule bool-or-taut2 :args (false @t276 false false)) % 150.29/151.51 (step @p296 :rule cong :premises (@p295) :args (@t277)) % 150.29/151.51 (step @p297 :rule trans :premises (@p296 @p294)) % 150.29/151.51 (step @p298 :rule cong :premises (@p297) :args (@t278)) % 150.29/151.51 (step @p299 :rule trans :premises (@p298 @p293)) % 150.29/151.51 (step @p300 :rule nary_cong :premises (@p299 @p292 @p291 @p290) :args (@t279)) % 150.29/151.51 (step @p301 :rule trans :premises (@p300 @p289)) % 150.29/151.51 (step @p302 :rule refl :args (@t132)) % 150.29/151.51 (step @p303 :rule cong :premises (@p302 @p301) :args ((=> @t132 @t279))) % 150.29/151.51 (assume-push @p412 @t132) % 150.29/151.51 (step @p305 :rule instantiate :premises (@p412) :args ((@list @t270 @t269 @t272 @t268))) % 150.29/151.51 (step-pop @p413 :rule scope :premises (@p305)) % 150.29/151.51 (step @p306 :rule process_scope :premises (@p413) :args (@t279)) % 150.29/151.51 (step @p308 :rule eq_resolve :premises (@p306 @p303)) % 150.29/151.51 (step @p309 :rule implies_elim :premises (@p308)) % 150.29/151.51 (step @p310 :rule refl :args (@t280)) % 150.29/151.51 (step @p311 :rule bool-double-not-elim :args (@t259)) % 150.29/151.51 (step @p312 :rule nary_cong :premises (@p311 @p310) :args ((or (not @t281) @t280))) % 150.29/151.51 (assume-push @p414 @t281) % 150.29/151.51 (step @p314 :rule skolemize :premises (@p414)) % 150.29/151.51 (step-pop @p415 :rule scope :premises (@p314)) % 150.29/151.51 (step @p315 :rule process_scope :premises (@p415) :args (@t280)) % 150.29/151.51 (step @p317 :rule implies_elim :premises (@p315)) % 150.29/151.51 (step @p318 :rule eq_resolve :premises (@p317 @p312)) % 150.29/151.51 (step @p319 :rule cnf_and_neg :args (@t133)) % 150.29/151.51 (step @p320 :rule aci_norm :args ((= (or false @t284) @t284))) % 150.29/151.51 (step @p321 :rule refl :args (@t284)) % 150.29/151.51 (step @p322 :rule bool-or-taut2 :args (false @t285 false false)) % 150.29/151.51 (step @p323 :rule cong :premises (@p322) :args (@t286)) % 150.29/151.51 (step @p324 :rule trans :premises (@p323 @p294)) % 150.29/151.51 (step @p325 :rule cong :premises (@p324) :args (@t287)) % 150.29/151.51 (step @p326 :rule trans :premises (@p325 @p293)) % 150.29/151.51 (step @p327 :rule nary_cong :premises (@p326 @p321) :args (@t288)) % 150.29/151.51 (step @p328 :rule trans :premises (@p327 @p320)) % 150.29/151.51 (step @p329 :rule refl :args (@t131)) % 150.29/151.51 (step @p330 :rule cong :premises (@p329 @p328) :args ((=> @t131 @t288))) % 150.29/151.51 (assume-push @p416 @t131) % 150.29/151.51 (step @p332 :rule instantiate :premises (@p416) :args ((@list @t283 @t282))) % 150.29/151.51 (step-pop @p417 :rule scope :premises (@p332)) % 150.29/151.51 (step @p333 :rule process_scope :premises (@p417) :args (@t288)) % 150.29/151.51 (step @p335 :rule eq_resolve :premises (@p333 @p330)) % 150.29/151.51 (step @p336 :rule implies_elim :premises (@p335)) % 150.29/151.51 (step @p337 :rule cnf_equiv_neg2 :args (@t262)) % 150.29/151.51 (step @p338 :rule refl :args (@t289)) % 150.29/151.51 (step @p339 :rule bool-double-not-elim :args (@t260)) % 150.29/151.51 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or (not @t290) @t289))) % 150.29/151.51 (assume-push @p418 @t290) % 150.29/151.51 (step @p342 :rule skolemize :premises (@p418)) % 150.29/151.51 (step-pop @p419 :rule scope :premises (@p342)) % 150.29/151.51 (step @p343 :rule process_scope :premises (@p419) :args (@t289)) % 150.29/151.51 (step @p345 :rule implies_elim :premises (@p343)) % 150.29/151.51 (step @p346 :rule eq_resolve :premises (@p345 @p340)) % 150.29/151.51 (step @p347 :rule cnf_and_neg :args (@t261)) % 150.29/151.51 (step @p348 :rule chain_m_resolution :premises (@p347 @p346 @p337 @p264 @p336 @p319 @p318 @p309) :args ((or @t291 @t143) (@list false true true false false false false) (@list @t260 @t261 @t262 @t284 @t133 @t259 @t275))) % 150.29/151.51 (step @p349 :rule chain_m_resolution :premises (@p348 @p288) :args (@t291 @t292 (@list @t131))) % 150.29/151.51 (step @p350 :rule refl :args (@t306)) % 150.29/151.51 (step @p351 :rule bool-double-not-elim :args (@t132)) % 150.29/151.51 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or (not @t291) @t306))) % 150.29/151.51 (assume-push @p420 @t291) % 150.29/151.51 (step @p354 :rule skolemize :premises (@p420)) % 150.29/151.51 (step-pop @p421 :rule scope :premises (@p354)) % 150.29/151.51 (step @p355 :rule process_scope :premises (@p421) :args (@t306)) % 150.29/151.51 (step @p357 :rule implies_elim :premises (@p355)) % 150.29/151.51 (step @p358 :rule eq_resolve :premises (@p357 @p352)) % 150.29/151.51 (step @p359 :rule chain_m_resolution :premises (@p358 @p349) :args (@t306 @t307 @t308)) % 150.29/151.51 (step @p360 :rule cnf_or_neg :args (@t305 3)) % 150.29/151.51 (step @p361 :rule chain_m_resolution :premises (@p360 @p359) :args ((not @t295) @t307 @t309)) % 150.29/151.51 (step @p362 :rule bool-double-not-elim :args (@t303)) % 150.29/151.51 (step @p363 :rule refl :args (@t305)) % 150.29/151.51 (step @p364 :rule nary_cong :premises (@p363 @p362) :args ((or @t305 (not @t304)))) % 150.29/151.51 (step @p365 :rule cnf_or_neg :args (@t305 0)) % 150.29/151.51 (step @p366 :rule eq_resolve :premises (@p365 @p364)) % 150.29/151.51 (step @p367 :rule reordering :premises (@p366) :args ((or @t303 @t305))) % 150.29/151.51 (step @p368 :rule chain_m_resolution :premises (@p367 @p359) :args (@t303 @t307 @t309)) % 150.29/151.51 (assume-push @p422 @t303) % 150.29/151.51 (step @p370 :rule instantiate :premises (@p422) :args ((@list @t293))) % 150.29/151.51 (step-pop @p423 :rule scope :premises (@p370)) % 150.29/151.51 (step @p371 :rule process_scope :premises (@p423) :args (@t312)) % 150.29/151.51 (step @p373 :rule implies_elim :premises (@p371)) % 150.29/151.51 (step @p374 :rule chain_m_resolution :premises (@p373 @p368) :args (@t312 @t292 (@list @t303))) % 150.29/151.51 (step @p375 :rule cnf_and_pos :args (@t133 0)) % 150.29/151.51 (step @p376 :rule reordering :premises (@p375) :args ((or @t132 @t134))) % 150.29/151.51 (step @p377 :rule chain_m_resolution :premises (@p376 @p349) :args (@t134 @t307 @t308)) % 150.29/151.51 (step @p378 :rule chain_m_resolution :premises (@p266 @p377 @p264) :args (@t261 (@list true true) (@list @t133 @t262))) % 150.29/151.51 (step @p379 :rule cnf_and_pos :args (@t261 1)) % 150.29/151.51 (step @p380 :rule reordering :premises (@p379) :args ((or @t259 @t263))) % 150.29/151.51 (step @p381 :rule chain_m_resolution :premises (@p380 @p378) :args (@t259 @t292 (@list @t261))) % 150.29/151.51 (assume-push @p424 @t259) % 150.29/151.51 (step @p383 :rule instantiate :premises (@p424) :args ((@list @t299 @t296 @t293))) % 150.29/151.51 (step-pop @p425 :rule scope :premises (@p383)) % 150.29/151.51 (step @p384 :rule process_scope :premises (@p425) :args (@t313)) % 150.29/151.51 (step @p386 :rule implies_elim :premises (@p384)) % 150.29/151.51 (step @p387 :rule chain_m_resolution :premises (@p386 @p381) :args (@t313 @t292 (@list @t259))) % 150.29/151.51 (step @p388 :rule bool-double-not-elim :args (@t297)) % 150.29/151.51 (step @p389 :rule nary_cong :premises (@p363 @p388) :args ((or @t305 (not @t298)))) % 150.29/151.51 (step @p390 :rule cnf_or_neg :args (@t305 2)) % 150.29/151.51 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 150.29/151.51 (step @p392 :rule reordering :premises (@p391) :args ((or @t297 @t305))) % 150.29/151.51 (step @p393 :rule chain_m_resolution :premises (@p392 @p359) :args (@t297 @t307 @t309)) % 150.29/151.51 (step @p394 :rule bool-double-not-elim :args (@t301)) % 150.29/151.51 (step @p395 :rule nary_cong :premises (@p363 @p394) :args ((or @t305 (not @t302)))) % 150.29/151.51 (step @p396 :rule cnf_or_neg :args (@t305 1)) % 150.29/151.51 (step @p397 :rule eq_resolve :premises (@p396 @p395)) % 150.29/151.51 (step @p398 :rule reordering :premises (@p397) :args ((or @t301 @t305))) % 150.29/151.51 (step @p399 :rule chain_m_resolution :premises (@p398 @p359) :args (@t301 @t307 @t309)) % 150.29/151.51 (step @p400 :rule cnf_or_pos :args (@t313)) % 150.29/151.51 (step @p401 :rule reordering :premises (@p400) :args ((or @t302 @t298 @t310 (not @t313)))) % 150.29/151.51 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p393 @p387) :args (@t310 (@list false false false) (@list @t301 @t297 @t313))) % 150.29/151.51 (step @p403 :rule cnf_or_pos :args (@t312)) % 150.29/151.51 (step @p404 :rule reordering :premises (@p403) :args ((or @t295 @t311 (not @t312)))) % 150.29/151.51 (step @p405 false :rule chain_m_resolution :premises (@p404 @p402 @p374 @p361) :args (false (@list false false true) (@list @t310 @t312 @t295))) % 150.29/151.51 ) % 150.29/151.51 % SZS output end Proof % 150.29/151.51 % cvc5 exiting %------------------------------------------------------------------------------