%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP018_2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:41 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP018_2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 03:58:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort tptp.tp__o 0) % 0.39/0.61 (declare-sort tptp.tp__ty_2Erealax_2Ereal 0) % 0.39/0.61 (declare-sort tptp.del 0) % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 0.39/0.61 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 0.39/0.61 (declare-const tptp.c_2Ebinary__ieee_2Eulp (-> tptp.del tptp.del $$unsorted)) % 0.39/0.61 (declare-const tptp.c_2Ebinary__ieee_2Efloat__to__real (-> tptp.del tptp.del $$unsorted)) % 0.39/0.61 (declare-const tptp.c_2Ebinary__ieee_2Efloat__plus__min (-> tptp.del tptp.del $$unsorted)) % 0.39/0.61 (declare-const tptp.surj__o (-> $$unsorted tptp.tp__o)) % 0.39/0.61 (declare-const tptp.ty_2Ebool_2Eitself (-> tptp.del tptp.del)) % 0.39/0.61 (declare-const tptp.inj__o (-> tptp.tp__o $$unsorted)) % 0.39/0.61 (declare-const tptp.ty_2Epair_2Eprod (-> tptp.del tptp.del tptp.del)) % 0.39/0.61 (declare-const tptp.c_2Ebinary__ieee_2Efloat__negate (-> tptp.del tptp.del $$unsorted)) % 0.39/0.61 (declare-const tptp.c_2Ebool_2Ethe__value (-> tptp.del $$unsorted)) % 0.39/0.61 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.c_2Erealax_2Ereal__neg $$unsorted) % 0.39/0.61 (declare-const tptp.ty_2Ebinary__ieee_2Efloat (-> tptp.del tptp.del tptp.del)) % 0.39/0.61 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 0.39/0.61 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 0.39/0.61 (declare-const tptp.p (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.bool tptp.del) % 0.39/0.61 (declare-const tptp.ty_2Erealax_2Ereal tptp.del) % 0.39/0.61 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 0.39/0.61 (declare-const tptp.inj__ty_2Erealax_2Ereal (-> tptp.tp__ty_2Erealax_2Ereal $$unsorted)) % 0.39/0.61 (declare-const tptp.k (-> tptp.del $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.fo__c_2Ebool_2ET tptp.tp__o) % 0.39/0.61 (declare-const tptp.surj__ty_2Erealax_2Ereal (-> $$unsorted tptp.tp__ty_2Erealax_2Ereal)) % 0.39/0.61 (declare-const tptp.i (-> tptp.del $$unsorted)) % 0.39/0.61 (declare-const tptp.fo__c_2Erealax_2Ereal__neg (-> tptp.tp__ty_2Erealax_2Ereal tptp.tp__ty_2Erealax_2Ereal)) % 0.39/0.61 (define @t1 () (@var "B" tptp.del)) % 0.39/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.61 (define @t3 () (@var "F" $$unsorted)) % 0.39/0.61 (define @t4 () (tptp.ap @t3 @t2)) % 0.39/0.61 (define @t5 () (tptp.mem @t4 @t1)) % 0.39/0.61 (define @t6 () (@var "A" tptp.del)) % 0.39/0.61 (define @t7 () (tptp.mem @t2 @t6)) % 0.39/0.61 (define @t8 () (@list @t2)) % 0.39/0.61 (define @t9 () (forall @t8 (=> @t7 @t5))) % 0.39/0.61 (define @t10 () (tptp.arr @t6 @t1)) % 0.39/0.61 (define @t11 () (tptp.mem @t3 @t10)) % 0.39/0.61 (define @t12 () (=> @t11 @t9)) % 0.39/0.61 (define @t13 () (@list @t6 @t1 @t3)) % 0.39/0.61 (define @t14 () (forall @t13 @t12)) % 0.39/0.61 (define @t15 () (@var "R" $$unsorted)) % 0.39/0.61 (define @t16 () (@var "Q" $$unsorted)) % 0.39/0.61 (define @t17 () (@var "G" $$unsorted)) % 0.39/0.61 (define @t18 () (@var "Y" $$unsorted)) % 0.39/0.61 (define @t19 () (@list @t6 @t2)) % 0.39/0.61 (define @t20 () (@var "X" tptp.tp__ty_2Erealax_2Ereal)) % 0.39/0.61 (define @t21 () (tptp.inj__ty_2Erealax_2Ereal @t20)) % 0.39/0.61 (define @t22 () (@list @t20)) % 0.39/0.61 (define @t23 () (= @t2 (tptp.inj__ty_2Erealax_2Ereal (tptp.surj__ty_2Erealax_2Ereal @t2)))) % 0.39/0.61 (define @t24 () (tptp.mem @t2 tptp.ty_2Erealax_2Ereal)) % 0.39/0.61 (define @t25 () (forall @t8 (=> @t24 @t23))) % 0.39/0.61 (define @t26 () (@var "X0" tptp.tp__ty_2Erealax_2Ereal)) % 0.39/0.61 (define @t27 () (@var "A_27w" tptp.del)) % 0.39/0.61 (define @t28 () (@var "A_27t" tptp.del)) % 0.39/0.61 (define @t29 () (tptp.ty_2Ebinary__ieee_2Efloat @t28 @t27)) % 0.39/0.61 (define @t30 () (tptp.c_2Ebinary__ieee_2Efloat__negate @t28 @t27)) % 0.39/0.61 (define @t31 () (@list @t28 @t27)) % 0.39/0.61 (define @t32 () (tptp.ty_2Epair_2Eprod @t28 @t27)) % 0.39/0.61 (define @t33 () (tptp.ty_2Ebool_2Eitself @t32)) % 0.39/0.61 (define @t34 () (tptp.c_2Ebinary__ieee_2Efloat__plus__min @t28 @t27)) % 0.39/0.61 (define @t35 () (tptp.c_2Ebinary__ieee_2Efloat__to__real @t28 @t27)) % 0.39/0.61 (define @t36 () (@var "A_27a" tptp.del)) % 0.39/0.61 (define @t37 () (@list @t36)) % 0.39/0.61 (define @t38 () (tptp.c_2Ebinary__ieee_2Eulp @t28 @t27)) % 0.39/0.61 (define @t39 () (@var "X" tptp.tp__o)) % 0.39/0.61 (define @t40 () (tptp.inj__o @t39)) % 0.39/0.61 (define @t41 () (@list @t39)) % 0.39/0.61 (define @t42 () (tptp.arr @t36 tptp.bool)) % 0.39/0.61 (define @t43 () (@var "V0x" $$unsorted)) % 0.39/0.61 (define @t44 () (@var "A_27b" tptp.del)) % 0.39/0.61 (define @t45 () (tptp.c_2Ebinary__ieee_2Efloat__to__real @t36 @t44)) % 0.39/0.61 (define @t46 () (= (tptp.surj__ty_2Erealax_2Ereal (tptp.ap @t45 (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate @t36 @t44) @t43))) (tptp.surj__ty_2Erealax_2Ereal (tptp.ap tptp.c_2Erealax_2Ereal__neg (tptp.ap @t45 @t43))))) % 0.39/0.61 (define @t47 () (tptp.mem @t43 (tptp.ty_2Ebinary__ieee_2Efloat @t36 @t44))) % 0.39/0.61 (define @t48 () (forall (@list @t36 @t44 @t43) (=> @t47 @t46))) % 0.39/0.61 (define @t49 () (tptp.c_2Ebool_2Ethe__value @t32)) % 0.39/0.61 (define @t50 () (tptp.ap @t34 @t49)) % 0.39/0.61 (define @t51 () (tptp.ap @t38 @t49)) % 0.39/0.61 (define @t52 () (forall @t31 (= (tptp.surj__ty_2Erealax_2Ereal (tptp.ap tptp.c_2Erealax_2Ereal__neg @t51)) (tptp.surj__ty_2Erealax_2Ereal (tptp.ap @t35 (tptp.ap @t30 @t50)))))) % 0.39/0.61 (define @t53 () (@quantifiers_skolemize @t52 1)) % 0.39/0.61 (define @t54 () (@quantifiers_skolemize @t52 0)) % 0.39/0.61 (define @t55 () (@list @t54 @t53)) % 0.39/0.61 (define @t56 () (tptp.ty_2Epair_2Eprod @t54 @t53)) % 0.39/0.61 (define @t57 () (tptp.c_2Ebool_2Ethe__value @t56)) % 0.39/0.61 (define @t58 () (tptp.c_2Ebinary__ieee_2Efloat__plus__min @t54 @t53)) % 0.39/0.61 (define @t59 () (tptp.ap @t58 @t57)) % 0.39/0.61 (define @t60 () (@var "BOUND_VARIABLE_7656" $$unsorted)) % 0.39/0.61 (define @t61 () (tptp.mem (tptp.ap @t3 @t60) @t1)) % 0.39/0.61 (define @t62 () (not (tptp.mem @t60 @t6))) % 0.39/0.61 (define @t63 () (not @t11)) % 0.39/0.61 (define @t64 () (or @t62 @t61)) % 0.39/0.61 (define @t65 () (or @t63 @t64)) % 0.39/0.61 (define @t66 () (forall (@list @t6 @t1 @t3 @t60) @t65)) % 0.39/0.61 (define @t67 () (@list @t60)) % 0.39/0.61 (define @t68 () (forall @t67 @t65)) % 0.39/0.61 (define @t69 () (forall @t67 @t64)) % 0.39/0.61 (define @t70 () (or @t63 @t69)) % 0.39/0.61 (define @t71 () (forall @t8 (or (not @t7) @t5))) % 0.39/0.61 (define @t72 () (tptp.ty_2Ebinary__ieee_2Efloat @t54 @t53)) % 0.39/0.61 (define @t73 () (tptp.ty_2Ebool_2Eitself @t56)) % 0.39/0.61 (define @t74 () (tptp.mem @t59 @t72)) % 0.39/0.61 (define @t75 () (tptp.mem @t57 @t73)) % 0.39/0.61 (define @t76 () (not @t75)) % 0.39/0.61 (define @t77 () (tptp.mem @t58 (tptp.arr @t73 @t72))) % 0.39/0.61 (define @t78 () (not @t77)) % 0.39/0.61 (define @t79 () (or @t78 @t76 @t74)) % 0.39/0.61 (define @t80 () (@list false false false)) % 0.39/0.61 (define @t81 () (tptp.c_2Ebinary__ieee_2Efloat__to__real @t54 @t53)) % 0.39/0.61 (define @t82 () (tptp.ap @t81 @t59)) % 0.39/0.61 (define @t83 () (tptp.surj__ty_2Erealax_2Ereal (tptp.ap @t81 (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate @t54 @t53) @t59)))) % 0.39/0.61 (define @t84 () (= @t83 (tptp.surj__ty_2Erealax_2Ereal (tptp.ap tptp.c_2Erealax_2Ereal__neg @t82)))) % 0.39/0.61 (define @t85 () (not @t74)) % 0.39/0.61 (define @t86 () (or @t85 @t84)) % 0.39/0.61 (define @t87 () (@list false false)) % 0.39/0.61 (define @t88 () (tptp.c_2Ebinary__ieee_2Eulp @t54 @t53)) % 0.39/0.61 (define @t89 () (tptp.ap @t88 @t57)) % 0.39/0.61 (define @t90 () (tptp.mem @t89 tptp.ty_2Erealax_2Ereal)) % 0.39/0.61 (define @t91 () (tptp.mem @t88 (tptp.arr @t73 tptp.ty_2Erealax_2Ereal))) % 0.39/0.61 (define @t92 () (not @t91)) % 0.39/0.61 (define @t93 () (or @t92 @t76 @t90)) % 0.39/0.61 (define @t94 () (tptp.surj__ty_2Erealax_2Ereal @t89)) % 0.39/0.61 (define @t95 () (tptp.inj__ty_2Erealax_2Ereal @t94)) % 0.39/0.61 (define @t96 () (= @t89 @t95)) % 0.39/0.61 (define @t97 () (not @t90)) % 0.39/0.61 (define @t98 () (or @t97 @t96)) % 0.39/0.61 (define @t99 () (tptp.mem @t82 tptp.ty_2Erealax_2Ereal)) % 0.39/0.61 (define @t100 () (tptp.mem @t81 (tptp.arr @t72 tptp.ty_2Erealax_2Ereal))) % 0.39/0.61 (define @t101 () (not @t100)) % 0.39/0.61 (define @t102 () (or @t101 @t85 @t99)) % 0.39/0.61 (define @t103 () (tptp.surj__ty_2Erealax_2Ereal @t82)) % 0.39/0.61 (define @t104 () (= @t82 (tptp.inj__ty_2Erealax_2Ereal @t103))) % 0.39/0.61 (define @t105 () (not @t99)) % 0.39/0.61 (define @t106 () (or @t105 @t104)) % 0.39/0.61 (define @t107 () (= @t94 @t103)) % 0.39/0.61 (define @t108 () (tptp.ap tptp.c_2Erealax_2Ereal__neg @t89)) % 0.39/0.61 (define @t109 () (tptp.surj__ty_2Erealax_2Ereal @t108)) % 0.39/0.61 (define @t110 () (= @t109 @t83)) % 0.39/0.61 (define @t111 () (and @t84 @t107 @t96 @t104)) % 0.39/0.61 (assume @p1 @t14) % 0.39/0.61 (assume @p2 (forall (@list @t16) (=> (tptp.mem @t16 tptp.bool) (forall (@list @t15) (=> (tptp.mem @t15 tptp.bool) (=> (= (tptp.p @t16) (tptp.p @t15)) (= @t16 @t15))))))) % 0.39/0.61 (assume @p3 (forall @t13 (=> @t11 (forall (@list @t17) (=> (tptp.mem @t17 @t10) (=> (forall @t8 (=> @t7 (= @t4 (tptp.ap @t17 @t2)))) (= @t3 @t17))))))) % 0.39/0.61 (assume @p4 (forall (@list @t6 @t18 @t2) (=> @t7 (= (tptp.ap (tptp.k @t6 @t18) @t2) @t18)))) % 0.39/0.61 (assume @p5 (forall @t19 (=> @t7 (= (tptp.ap (tptp.i @t6) @t2) @t2)))) % 0.39/0.61 (assume @p6 (forall @t22 (= (tptp.surj__ty_2Erealax_2Ereal @t21) @t20))) % 0.39/0.61 (assume @p7 (forall @t22 (tptp.mem @t21 tptp.ty_2Erealax_2Ereal))) % 0.39/0.61 (assume @p8 @t25) % 0.39/0.61 (assume @p9 (tptp.mem tptp.c_2Erealax_2Ereal__neg (tptp.arr tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal))) % 0.39/0.61 (assume @p10 (forall (@list @t26) (= (tptp.inj__ty_2Erealax_2Ereal (tptp.fo__c_2Erealax_2Ereal__neg @t26)) (tptp.ap tptp.c_2Erealax_2Ereal__neg (tptp.inj__ty_2Erealax_2Ereal @t26))))) % 0.39/0.61 (assume @p11 (forall @t31 (tptp.mem @t30 (tptp.arr @t29 @t29)))) % 0.39/0.61 (assume @p12 (forall @t31 (tptp.mem @t34 (tptp.arr @t33 @t29)))) % 0.39/0.61 (assume @p13 (forall @t31 (tptp.mem @t35 (tptp.arr @t29 tptp.ty_2Erealax_2Ereal)))) % 0.39/0.61 (assume @p14 (forall @t37 (tptp.mem (tptp.c_2Ebool_2Ethe__value @t36) (tptp.ty_2Ebool_2Eitself @t36)))) % 0.39/0.61 (assume @p15 (forall @t31 (tptp.mem @t38 (tptp.arr @t33 tptp.ty_2Erealax_2Ereal)))) % 0.39/0.61 (assume @p16 (forall @t41 (= (tptp.surj__o @t40) @t39))) % 0.39/0.61 (assume @p17 (forall @t41 (tptp.mem @t40 tptp.bool))) % 0.39/0.61 (assume @p18 (forall @t8 (=> (tptp.mem @t2 tptp.bool) (= @t2 (tptp.inj__o (tptp.surj__o @t2)))))) % 0.39/0.61 (assume @p19 (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 0.39/0.61 (assume @p20 (= (tptp.inj__o tptp.fo__c_2Ebool_2ET) tptp.c_2Ebool_2ET)) % 0.39/0.61 (assume @p21 (tptp.p tptp.c_2Ebool_2ET)) % 0.39/0.61 (assume @p22 (forall @t37 (tptp.mem (tptp.c_2Emin_2E_3D @t36) (tptp.arr @t36 @t42)))) % 0.39/0.61 (assume @p23 (forall @t19 (=> @t7 (forall (@list @t18) (=> (tptp.mem @t18 @t6) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t6) @t2) @t18)) (= @t2 @t18))))))) % 0.39/0.61 (assume @p24 (forall @t37 (tptp.mem (tptp.c_2Ebool_2E_21 @t36) (tptp.arr @t42 tptp.bool)))) % 0.39/0.61 (assume @p25 (forall (@list @t6 @t16) (=> (tptp.mem @t16 (tptp.arr @t6 tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t6) @t16)) (forall @t8 (=> @t7 (tptp.p (tptp.ap @t16 @t2)))))))) % 0.39/0.61 (assume @p26 @t48) % 0.39/0.61 (assume @p27 (forall @t31 (= (tptp.surj__ty_2Erealax_2Ereal @t51) (tptp.surj__ty_2Erealax_2Ereal (tptp.ap @t35 @t50))))) % 0.39/0.61 (assume @p28 true) % 0.39/0.61 (assume @p29 (forall (@list @t36 @t43) (=> (tptp.mem @t43 @t36) (= (= @t43 @t43) true)))) % 0.39/0.61 (assume @p30 (not @t52)) % 0.39/0.61 (step @p31 :rule skolemize :premises (@p30)) % 0.39/0.61 (step @p32 :rule instantiate :premises (@p27) :args (@t55)) % 0.39/0.61 (step @p33 :rule bool-impl-elim :args (@t47 @t46)) % 0.39/0.61 (step @p34 :rule cong :premises (@p33) :args (@t48)) % 0.39/0.61 (step @p35 :rule eq_resolve :premises (@p26 @p34)) % 0.39/0.61 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t54 @t53 @t59))) % 0.39/0.61 (step @p37 :rule aci_norm :args ((= @t65 (or @t63 @t62 @t61)))) % 0.39/0.61 (step @p38 :rule cong :premises (@p37) :args (@t66)) % 0.39/0.61 (step @p39 :rule quant-merge-prenex :args ((= (forall @t13 @t68) @t66))) % 0.39/0.61 (step @p40 :rule alpha_equiv :args (@t69 (@list @t60) (@list @t2))) % 0.39/0.61 (step @p41 :rule refl :args (@t63)) % 0.39/0.61 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t70)) % 0.39/0.61 (step @p43 :rule quant-miniscope-or :args ((= @t68 @t70))) % 0.39/0.61 (step @p44 :rule trans :premises (@p43 @p42)) % 0.39/0.61 (step @p45 :rule symm :premises (@p44)) % 0.39/0.61 (step @p46 :rule cong :premises (@p45) :args ((forall @t13 (or @t63 @t71)))) % 0.39/0.61 (step @p47 :rule trans :premises (@p46 @p39)) % 0.39/0.61 (step @p48 :rule trans :premises (@p47 @p38)) % 0.39/0.61 (step @p49 :rule bool-impl-elim :args (@t11 @t71)) % 0.39/0.61 (step @p50 :rule cong :premises (@p49) :args ((forall @t13 (=> @t11 @t71)))) % 0.39/0.61 (step @p51 :rule trans :premises (@p50 @p48)) % 0.39/0.61 (step @p52 :rule bool-impl-elim :args (@t7 @t5)) % 0.39/0.61 (step @p53 :rule cong :premises (@p52) :args (@t9)) % 0.39/0.61 (step @p54 :rule refl :args (@t11)) % 0.39/0.61 (step @p55 :rule cong :premises (@p54 @p53) :args (@t12)) % 0.39/0.61 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 0.39/0.61 (step @p57 :rule trans :premises (@p56 @p51)) % 0.39/0.61 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 0.39/0.61 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t73 @t72 @t58 @t57))) % 0.39/0.61 (step @p60 :rule instantiate :premises (@p14) :args ((@list @t56))) % 0.39/0.61 (step @p61 :rule instantiate :premises (@p12) :args (@t55)) % 0.39/0.61 (step @p62 :rule cnf_or_pos :args (@t79)) % 0.39/0.61 (step @p63 :rule reordering :premises (@p62) :args ((or @t74 @t78 @t76 (not @t79)))) % 0.39/0.61 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p60 @p59) :args (@t74 @t80 (@list @t77 @t75 @t79))) % 0.39/0.61 (step @p65 :rule cnf_or_pos :args (@t86)) % 0.39/0.61 (step @p66 :rule reordering :premises (@p65) :args ((or @t85 @t84 (not @t86)))) % 0.39/0.61 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p36) :args (@t84 @t87 (@list @t74 @t86))) % 0.39/0.61 (step @p68 :rule bool-impl-elim :args (@t24 @t23)) % 0.39/0.61 (step @p69 :rule cong :premises (@p68) :args (@t25)) % 0.39/0.61 (step @p70 :rule eq_resolve :premises (@p8 @p69)) % 0.39/0.61 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t89))) % 0.39/0.61 (step @p72 :rule instantiate :premises (@p58) :args ((@list @t73 tptp.ty_2Erealax_2Ereal @t88 @t57))) % 0.39/0.61 (step @p73 :rule instantiate :premises (@p15) :args (@t55)) % 0.39/0.61 (step @p74 :rule cnf_or_pos :args (@t93)) % 0.39/0.61 (step @p75 :rule reordering :premises (@p74) :args ((or @t76 @t92 @t90 (not @t93)))) % 0.39/0.61 (step @p76 :rule chain_m_resolution :premises (@p75 @p60 @p73 @p72) :args (@t90 @t80 (@list @t75 @t91 @t93))) % 0.39/0.61 (step @p77 :rule cnf_or_pos :args (@t98)) % 0.39/0.61 (step @p78 :rule reordering :premises (@p77) :args ((or @t97 @t96 (not @t98)))) % 0.39/0.61 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p71) :args (@t96 @t87 (@list @t90 @t98))) % 0.39/0.61 (step @p80 :rule instantiate :premises (@p70) :args ((@list @t82))) % 0.39/0.61 (step @p81 :rule instantiate :premises (@p58) :args ((@list @t72 tptp.ty_2Erealax_2Ereal @t81 @t59))) % 0.39/0.61 (step @p82 :rule instantiate :premises (@p13) :args (@t55)) % 0.39/0.61 (step @p83 :rule cnf_or_pos :args (@t102)) % 0.39/0.61 (step @p84 :rule reordering :premises (@p83) :args ((or @t85 @t101 @t99 (not @t102)))) % 0.39/0.61 (step @p85 :rule chain_m_resolution :premises (@p84 @p64 @p82 @p81) :args (@t99 @t80 (@list @t74 @t100 @t102))) % 0.39/0.61 (step @p86 :rule cnf_or_pos :args (@t106)) % 0.39/0.61 (step @p87 :rule reordering :premises (@p86) :args ((or @t105 @t104 (not @t106)))) % 0.39/0.61 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p80) :args (@t104 @t87 (@list @t99 @t106))) % 0.39/0.61 (assume-push @p111 @t84) % 0.39/0.61 (assume-push @p112 @t107) % 0.39/0.61 (assume-push @p113 @t96) % 0.39/0.61 (assume-push @p114 @t104) % 0.39/0.61 (step @p93 :rule symm :premises (@p67)) % 0.39/0.61 (step @p94 :rule symm :premises (@p88)) % 0.39/0.61 (step @p95 :rule cong :premises (@p32) :args (@t95)) % 0.39/0.61 (step @p96 :rule trans :premises (@p79 @p95 @p94)) % 0.39/0.61 (step @p97 :rule refl :args (tptp.c_2Erealax_2Ereal__neg)) % 0.39/0.61 (step @p98 :rule cong :premises (@p97 @p96) :args (@t108)) % 0.39/0.61 (step @p99 :rule cong :premises (@p98) :args (@t109)) % 0.39/0.61 (step @p100 :rule trans :premises (@p99 @p93)) % 0.39/0.61 (step-pop @p115 :rule scope :premises (@p100)) % 0.39/0.61 (step-pop @p116 :rule scope :premises (@p115)) % 0.39/0.61 (step-pop @p117 :rule scope :premises (@p116)) % 0.39/0.61 (step-pop @p118 :rule scope :premises (@p117)) % 0.39/0.61 (step @p101 :rule process_scope :premises (@p118) :args (@t110)) % 0.39/0.61 (step @p106 :rule implies_elim :premises (@p101)) % 0.39/0.61 (step @p107 :rule cnf_and_neg :args (@t111)) % 0.39/0.61 (step @p108 :rule resolution :premises (@p107 @p106) :args (true @t111)) % 0.39/0.61 (step @p109 :rule reordering :premises (@p108) :args ((or @t110 (not @t84) (not @t107) (not @t96) (not @t104)))) % 0.39/0.61 (step @p110 false :rule chain_m_resolution :premises (@p109 @p88 @p79 @p67 @p32 @p31) :args (false (@list false false false false true) (@list @t104 @t96 @t84 @t107 @t110))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------