%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM535+2 : 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 : n007.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 08:39:45 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM535+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n007.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 11:27:41 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.xx $$unsorted) % 0.38/0.58 (declare-const tptp.xS $$unsorted) % 0.38/0.58 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.slcrc0 $$unsorted) % 0.38/0.58 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "W0" $$unsorted)) % 0.38/0.58 (define @t2 () (tptp.aSet0 @t1)) % 0.38/0.58 (define @t3 () (@list @t1)) % 0.38/0.58 (define @t4 () (tptp.aElement0 @t1)) % 0.38/0.58 (define @t5 () (@var "W1" $$unsorted)) % 0.38/0.58 (define @t6 () (tptp.aElement0 @t5)) % 0.38/0.58 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.38/0.58 (define @t8 () (@list @t5)) % 0.38/0.58 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.38/0.58 (define @t10 () (=> @t2 @t9)) % 0.38/0.58 (define @t11 () (forall @t3 @t10)) % 0.38/0.58 (define @t12 () (tptp.isFinite0 @t1)) % 0.38/0.58 (define @t13 () (= @t1 tptp.slcrc0)) % 0.38/0.58 (define @t14 () (tptp.isCountable0 @t1)) % 0.38/0.58 (define @t15 () (and @t2 @t14)) % 0.38/0.58 (define @t16 () (@var "W2" $$unsorted)) % 0.38/0.58 (define @t17 () (@list @t16)) % 0.38/0.58 (define @t18 () (tptp.aSet0 @t5)) % 0.38/0.58 (define @t19 () (tptp.aSubsetOf0 @t5 @t1)) % 0.38/0.58 (define @t20 () (tptp.aSubsetOf0 @t1 @t5)) % 0.38/0.58 (define @t21 () (@list @t1 @t5)) % 0.38/0.58 (define @t22 () (tptp.aSet0 @t16)) % 0.38/0.58 (define @t23 () (@var "W3" $$unsorted)) % 0.38/0.58 (define @t24 () (= @t23 @t5)) % 0.38/0.58 (define @t25 () (tptp.aElementOf0 @t23 @t1)) % 0.38/0.58 (define @t26 () (tptp.aElement0 @t23)) % 0.38/0.58 (define @t27 () (tptp.aElementOf0 @t23 @t16)) % 0.38/0.58 (define @t28 () (@list @t23)) % 0.38/0.58 (define @t29 () (and @t2 @t6)) % 0.38/0.58 (define @t30 () (tptp.aSet0 tptp.xS)) % 0.38/0.58 (define @t31 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.38/0.58 (define @t32 () (tptp.sdtmndt0 tptp.xS tptp.xx)) % 0.38/0.58 (define @t33 () (tptp.sdtpldt0 @t32 tptp.xx)) % 0.38/0.58 (define @t34 () (tptp.aSubsetOf0 @t33 tptp.xS)) % 0.38/0.58 (define @t35 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.38/0.58 (define @t36 () (tptp.aElementOf0 @t1 @t33)) % 0.38/0.58 (define @t37 () (forall @t3 (=> @t36 @t35))) % 0.38/0.58 (define @t38 () (or @t37 @t34)) % 0.38/0.58 (define @t39 () (= @t1 tptp.xx)) % 0.38/0.58 (define @t40 () (tptp.aElementOf0 @t1 @t32)) % 0.38/0.58 (define @t41 () (forall @t3 (= @t36 (and @t4 (or @t40 @t39))))) % 0.38/0.58 (define @t42 () (and (tptp.aSet0 @t33) @t41)) % 0.38/0.58 (define @t43 () (=> @t42 @t38)) % 0.38/0.58 (define @t44 () (forall @t3 (= @t40 (and @t4 @t35 (not @t39))))) % 0.38/0.58 (define @t45 () (and (tptp.aSet0 @t32) @t44)) % 0.38/0.58 (define @t46 () (=> @t45 @t43)) % 0.38/0.58 (define @t47 () (tptp.aSubsetOf0 tptp.xS @t33)) % 0.38/0.58 (define @t48 () (forall @t3 (=> @t35 @t36))) % 0.38/0.58 (define @t49 () (or @t48 @t47)) % 0.38/0.58 (define @t50 () (=> @t42 @t49)) % 0.38/0.58 (define @t51 () (=> @t45 @t50)) % 0.38/0.58 (define @t52 () (and @t51 @t46)) % 0.38/0.58 (define @t53 () (not @t52)) % 0.38/0.58 (define @t54 () (forall @t3 (or (not @t36) @t35))) % 0.38/0.58 (define @t55 () (or @t54 @t34)) % 0.38/0.58 (define @t56 () (=> @t42 @t55)) % 0.38/0.58 (define @t57 () (=> @t45 @t56)) % 0.38/0.58 (define @t58 () (@quantifiers_skolemize @t54 0)) % 0.38/0.58 (define @t59 () (= @t58 tptp.xx)) % 0.38/0.58 (define @t60 () (not @t59)) % 0.38/0.58 (define @t61 () (tptp.aElementOf0 @t58 tptp.xS)) % 0.38/0.58 (define @t62 () (tptp.aElement0 @t58)) % 0.38/0.58 (define @t63 () (and @t62 @t61 @t60)) % 0.38/0.58 (define @t64 () (tptp.aElementOf0 @t58 @t32)) % 0.38/0.58 (define @t65 () (= @t64 @t63)) % 0.38/0.58 (define @t66 () (@list @t58)) % 0.38/0.58 (define @t67 () (or @t64 @t59)) % 0.38/0.58 (define @t68 () (and @t62 @t67)) % 0.38/0.58 (define @t69 () (tptp.aElementOf0 @t58 @t33)) % 0.38/0.58 (define @t70 () (= @t69 @t68)) % 0.38/0.58 (define @t71 () (not @t69)) % 0.38/0.58 (define @t72 () (or @t71 @t61)) % 0.38/0.58 (define @t73 () (not @t72)) % 0.38/0.58 (define @t74 () (not @t54)) % 0.38/0.58 (define @t75 () (= tptp.xx @t58)) % 0.38/0.58 (define @t76 () (or @t64 @t75)) % 0.38/0.58 (define @t77 () (and @t62 @t76)) % 0.38/0.58 (define @t78 () (= @t69 @t77)) % 0.38/0.58 (define @t79 () (not @t75)) % 0.38/0.58 (define @t80 () (and @t62 @t61 @t79)) % 0.38/0.58 (define @t81 () (= @t64 @t80)) % 0.38/0.58 (define @t82 () (not @t31)) % 0.38/0.58 (define @t83 () (not @t61)) % 0.38/0.58 (define @t84 () (and @t83 @t75 @t31)) % 0.38/0.58 (define @t85 () (forall @t3 (or (not @t35) @t36))) % 0.38/0.58 (define @t86 () (or @t85 @t47)) % 0.38/0.58 (define @t87 () (=> @t42 @t86)) % 0.38/0.58 (define @t88 () (=> @t45 @t87)) % 0.38/0.58 (define @t89 () (@list false)) % 0.38/0.58 (define @t90 () (@list true)) % 0.38/0.58 (define @t91 () (@list @t88)) % 0.38/0.58 (define @t92 () (@list @t87)) % 0.38/0.58 (define @t93 () (not @t85)) % 0.38/0.58 (define @t94 () (@quantifiers_skolemize @t85 0)) % 0.38/0.58 (define @t95 () (tptp.aElementOf0 @t94 @t33)) % 0.38/0.58 (define @t96 () (tptp.aElementOf0 @t94 tptp.xS)) % 0.38/0.58 (define @t97 () (not @t96)) % 0.38/0.58 (define @t98 () (or @t97 @t95)) % 0.38/0.58 (define @t99 () (not @t98)) % 0.38/0.58 (define @t100 () (@list @t98)) % 0.38/0.58 (define @t101 () (@var "BOUND_VARIABLE_7572" $$unsorted)) % 0.38/0.58 (define @t102 () (tptp.aElement0 @t101)) % 0.38/0.58 (define @t103 () (not (tptp.aElementOf0 @t101 @t1))) % 0.38/0.58 (define @t104 () (not @t2)) % 0.38/0.58 (define @t105 () (or @t103 @t102)) % 0.38/0.58 (define @t106 () (or @t104 @t105)) % 0.38/0.58 (define @t107 () (forall (@list @t1 @t101) @t106)) % 0.38/0.58 (define @t108 () (@list @t101)) % 0.38/0.58 (define @t109 () (forall @t108 @t106)) % 0.38/0.58 (define @t110 () (forall @t108 @t105)) % 0.38/0.58 (define @t111 () (or @t104 @t110)) % 0.38/0.58 (define @t112 () (forall @t8 (or (not @t7) @t6))) % 0.38/0.58 (define @t113 () (tptp.aElement0 @t94)) % 0.38/0.58 (define @t114 () (not @t30)) % 0.38/0.58 (define @t115 () (or @t114 @t97 @t113)) % 0.38/0.58 (define @t116 () (tptp.aElementOf0 @t94 @t32)) % 0.38/0.58 (define @t117 () (= @t94 tptp.xx)) % 0.38/0.58 (define @t118 () (or @t116 @t117)) % 0.38/0.58 (define @t119 () (and @t113 @t118)) % 0.38/0.58 (define @t120 () (= @t95 @t119)) % 0.38/0.58 (define @t121 () (@list @t94)) % 0.38/0.58 (define @t122 () (= tptp.xx @t94)) % 0.38/0.58 (define @t123 () (or @t116 @t122)) % 0.38/0.58 (define @t124 () (and @t113 @t123)) % 0.38/0.58 (define @t125 () (= @t95 @t124)) % 0.38/0.58 (define @t126 () (not @t124)) % 0.38/0.58 (define @t127 () (@list true false)) % 0.38/0.58 (define @t128 () (not @t122)) % 0.38/0.58 (define @t129 () (@list @t123)) % 0.38/0.58 (define @t130 () (not @t117)) % 0.38/0.58 (define @t131 () (and @t113 @t96 @t130)) % 0.38/0.58 (define @t132 () (= @t116 @t131)) % 0.38/0.58 (define @t133 () (and @t113 @t96 @t128)) % 0.38/0.58 (define @t134 () (= @t116 @t133)) % 0.38/0.58 (define @t135 () (not @t133)) % 0.38/0.58 (define @t136 () (not @t113)) % 0.38/0.58 (assume @p1 (forall @t3 (=> @t2 true))) % 0.38/0.58 (assume @p2 (forall @t3 (=> @t4 true))) % 0.38/0.58 (assume @p3 @t11) % 0.38/0.58 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 0.38/0.58 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 0.38/0.58 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.38/0.58 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 0.38/0.58 (assume @p8 (forall @t3 (=> @t15 (not @t12)))) % 0.38/0.58 (assume @p9 (forall @t3 (=> @t15 (not @t13)))) % 0.38/0.58 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t19 (and @t18 (forall @t17 (=> (tptp.aElementOf0 @t16 @t5) (tptp.aElementOf0 @t16 @t1))))))))) % 0.38/0.58 (assume @p11 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t19 (tptp.isFinite0 @t5)))))) % 0.38/0.58 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.38/0.58 (assume @p13 (forall @t21 (=> (and @t2 @t18) (=> (and @t20 @t19) (= @t1 @t5))))) % 0.38/0.58 (assume @p14 (forall (@list @t1 @t5 @t16) (=> (and @t2 @t18 @t22) (=> (and @t20 (tptp.aSubsetOf0 @t5 @t16)) (tptp.aSubsetOf0 @t1 @t16))))) % 0.38/0.58 (assume @p15 (forall @t21 (=> @t29 (forall @t17 (= (= @t16 (tptp.sdtpldt0 @t1 @t5)) (and @t22 (forall @t28 (= @t27 (and @t26 (or @t25 @t24)))))))))) % 0.38/0.58 (assume @p16 (forall @t21 (=> @t29 (forall @t17 (= (= @t16 (tptp.sdtmndt0 @t1 @t5)) (and @t22 (forall @t28 (= @t27 (and @t26 @t25 (not @t24)))))))))) % 0.38/0.58 (assume @p17 @t30) % 0.38/0.58 (assume @p18 @t31) % 0.38/0.58 (assume @p19 @t53) % 0.38/0.58 (assume @p20 true) % 0.38/0.58 (step @p21 :rule cnf_implies_neg1 :args (@t57)) % 0.38/0.58 (step @p22 :rule reordering :premises (@p21) :args ((or @t45 @t57))) % 0.38/0.58 (step @p23 :rule cnf_implies_neg2 :args (@t57)) % 0.38/0.58 (step @p24 :rule cnf_and_pos :args (@t45 1)) % 0.38/0.58 (step @p25 :rule reordering :premises (@p24) :args ((or @t44 (not @t45)))) % 0.38/0.58 (step @p26 :rule cnf_implies_neg1 :args (@t56)) % 0.38/0.58 (step @p27 :rule reordering :premises (@p26) :args ((or @t42 @t56))) % 0.38/0.58 (step @p28 :rule cnf_implies_neg2 :args (@t56)) % 0.38/0.58 (step @p29 :rule eq-symm :args (@t58 tptp.xx)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29) :args (@t60)) % 0.38/0.58 (step @p31 :rule refl :args (@t61)) % 0.38/0.58 (step @p32 :rule refl :args (@t62)) % 0.38/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t63)) % 0.38/0.58 (step @p34 :rule refl :args (@t64)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34 @p33) :args (@t65)) % 0.38/0.58 (step @p36 :rule refl :args (@t44)) % 0.38/0.58 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t44 @t65))) % 0.38/0.58 (assume-push @p244 @t44) % 0.38/0.58 (step @p39 :rule instantiate :premises (@p244) :args (@t66)) % 0.38/0.58 (step-pop @p245 :rule scope :premises (@p39)) % 0.38/0.58 (step @p40 :rule process_scope :premises (@p245) :args (@t65)) % 0.38/0.58 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.38/0.58 (step @p43 :rule implies_elim :premises (@p42)) % 0.38/0.58 (step @p44 :rule cnf_and_pos :args (@t42 1)) % 0.38/0.58 (step @p45 :rule reordering :premises (@p44) :args ((or @t41 (not @t42)))) % 0.38/0.58 (step @p46 :rule cnf_or_neg :args (@t55 0)) % 0.38/0.58 (step @p47 :rule nary_cong :premises (@p34 @p29) :args (@t67)) % 0.38/0.58 (step @p48 :rule nary_cong :premises (@p32 @p47) :args (@t68)) % 0.38/0.58 (step @p49 :rule refl :args (@t69)) % 0.38/0.58 (step @p50 :rule cong :premises (@p49 @p48) :args (@t70)) % 0.38/0.58 (step @p51 :rule refl :args (@t41)) % 0.38/0.58 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t41 @t70))) % 0.38/0.58 (assume-push @p246 @t41) % 0.38/0.58 (step @p54 :rule instantiate :premises (@p246) :args (@t66)) % 0.38/0.58 (step-pop @p247 :rule scope :premises (@p54)) % 0.38/0.58 (step @p55 :rule process_scope :premises (@p247) :args (@t70)) % 0.38/0.58 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.38/0.58 (step @p58 :rule implies_elim :premises (@p57)) % 0.38/0.58 (step @p59 :rule refl :args (@t73)) % 0.38/0.58 (step @p60 :rule bool-double-not-elim :args (@t54)) % 0.38/0.58 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t74) @t73))) % 0.38/0.58 (assume-push @p248 @t74) % 0.38/0.58 (step @p63 :rule skolemize :premises (@p248)) % 0.38/0.58 (step-pop @p249 :rule scope :premises (@p63)) % 0.38/0.58 (step @p64 :rule process_scope :premises (@p249) :args (@t73)) % 0.38/0.58 (step @p66 :rule implies_elim :premises (@p64)) % 0.38/0.58 (step @p67 :rule eq_resolve :premises (@p66 @p61)) % 0.38/0.58 (step @p68 :rule bool-double-not-elim :args (@t69)) % 0.38/0.58 (step @p69 :rule refl :args (@t72)) % 0.38/0.58 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t72 (not @t71)))) % 0.38/0.58 (step @p71 :rule cnf_or_neg :args (@t72 0)) % 0.38/0.58 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.38/0.58 (step @p73 :rule reordering :premises (@p72) :args ((or @t69 @t72))) % 0.38/0.58 (step @p74 :rule cnf_or_neg :args (@t72 1)) % 0.38/0.58 (step @p75 :rule cnf_equiv_pos1 :args (@t78)) % 0.38/0.58 (step @p76 :rule reordering :premises (@p75) :args ((or @t71 @t77 (not @t78)))) % 0.38/0.58 (step @p77 :rule cnf_and_pos :args (@t80 1)) % 0.38/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t61 (not @t80)))) % 0.38/0.58 (step @p79 :rule cnf_and_pos :args (@t77 1)) % 0.38/0.58 (step @p80 :rule reordering :premises (@p79) :args ((or @t76 (not @t77)))) % 0.38/0.58 (step @p81 :rule cnf_equiv_pos1 :args (@t81)) % 0.38/0.58 (step @p82 :rule reordering :premises (@p81) :args ((or @t80 (not @t64) (not @t81)))) % 0.38/0.58 (step @p83 :rule cnf_or_pos :args (@t76)) % 0.38/0.58 (step @p84 :rule reordering :premises (@p83) :args ((or @t64 @t75 (not @t76)))) % 0.38/0.58 (step @p85 :rule refl :args (@t79)) % 0.38/0.58 (step @p86 :rule bool-double-not-elim :args (@t61)) % 0.38/0.58 (step @p87 :rule refl :args (@t82)) % 0.38/0.58 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85) :args ((or @t82 (not @t83) @t79))) % 0.38/0.58 (assume-push @p250 @t83) % 0.38/0.58 (assume-push @p251 @t75) % 0.38/0.58 (assume-push @p252 @t31) % 0.38/0.58 (step @p92 :rule evaluate :args ((= true false))) % 0.38/0.58 (step @p93 :rule false_intro :premises (@p250)) % 0.38/0.58 (step @p94 :rule refl :args (tptp.xS)) % 0.38/0.58 (step @p95 :rule cong :premises (@p251 @p94) :args (@t31)) % 0.38/0.58 (step @p96 :rule true_intro :premises (@p18)) % 0.38/0.58 (step @p97 :rule symm :premises (@p96)) % 0.38/0.58 (step @p98 :rule trans :premises (@p97 @p95 @p93)) % 0.38/0.58 (step @p99 false :rule eq_resolve :premises (@p98 @p92)) % 0.38/0.58 (step-pop @p253 :rule scope :premises (@p99)) % 0.38/0.58 (step-pop @p254 :rule scope :premises (@p253)) % 0.38/0.58 (step-pop @p255 :rule scope :premises (@p254)) % 0.38/0.58 (step @p100 :rule process_scope :premises (@p255) :args (false)) % 0.38/0.58 (assume-push @p256 @t31) % 0.38/0.58 (assume-push @p257 @t83) % 0.38/0.58 (assume-push @p258 @t75) % 0.38/0.58 (step @p107 :rule and_intro :premises (@p257 @p258 @p18)) % 0.38/0.58 (step-pop @p259 :rule scope :premises (@p107)) % 0.38/0.58 (step-pop @p260 :rule scope :premises (@p259)) % 0.38/0.58 (step-pop @p261 :rule scope :premises (@p260)) % 0.38/0.58 (step @p108 :rule process_scope :premises (@p261) :args (@t84)) % 0.38/0.58 (step @p112 :rule implies_elim :premises (@p108)) % 0.38/0.58 (step @p113 :rule resolution :premises (@p112 @p100) :args (true @t84)) % 0.38/0.58 (step @p114 :rule not_and :premises (@p113)) % 0.38/0.58 (step @p115 :rule eq_resolve :premises (@p114 @p88)) % 0.38/0.58 (step @p116 :rule chain_m_resolution :premises (@p115 @p18 @p84 @p82 @p80 @p78 @p76 @p74 @p73 @p67 @p58 @p46 @p45 @p43 @p28 @p27 @p25 @p23 @p22) :args (@t57 (@list false false true false true false true false true false true false false true false false true false) (@list @t31 @t75 @t64 @t76 @t80 @t77 @t61 @t69 @t72 @t78 @t54 @t41 @t81 @t55 @t42 @t44 @t56 @t45))) % 0.38/0.58 (step @p117 :rule refl :args (@t34)) % 0.38/0.58 (step @p118 :rule bool-impl-elim :args (@t36 @t35)) % 0.38/0.58 (step @p119 :rule cong :premises (@p118) :args (@t37)) % 0.38/0.58 (step @p120 :rule nary_cong :premises (@p119 @p117) :args (@t38)) % 0.38/0.58 (step @p121 :rule refl :args (@t42)) % 0.38/0.58 (step @p122 :rule cong :premises (@p121 @p120) :args (@t43)) % 0.38/0.58 (step @p123 :rule refl :args (@t45)) % 0.38/0.58 (step @p124 :rule cong :premises (@p123 @p122) :args (@t46)) % 0.38/0.58 (step @p125 :rule refl :args (@t47)) % 0.38/0.58 (step @p126 :rule bool-impl-elim :args (@t35 @t36)) % 0.38/0.58 (step @p127 :rule cong :premises (@p126) :args (@t48)) % 0.38/0.58 (step @p128 :rule nary_cong :premises (@p127 @p125) :args (@t49)) % 0.38/0.58 (step @p129 :rule cong :premises (@p121 @p128) :args (@t50)) % 0.38/0.58 (step @p130 :rule cong :premises (@p123 @p129) :args (@t51)) % 0.38/0.58 (step @p131 :rule nary_cong :premises (@p130 @p124) :args (@t52)) % 0.38/0.58 (step @p132 :rule cong :premises (@p131) :args (@t53)) % 0.38/0.58 (step @p133 :rule eq_resolve :premises (@p19 @p132)) % 0.38/0.58 (step @p134 :rule not_and :premises (@p133)) % 0.38/0.58 (step @p135 :rule chain_m_resolution :premises (@p134 @p116) :args ((not @t88) @t89 (@list @t57))) % 0.38/0.58 (step @p136 :rule cnf_implies_neg2 :args (@t88)) % 0.38/0.58 (step @p137 :rule chain_m_resolution :premises (@p136 @p135) :args ((not @t87) @t90 @t91)) % 0.38/0.58 (step @p138 :rule cnf_implies_neg2 :args (@t87)) % 0.38/0.58 (step @p139 :rule chain_m_resolution :premises (@p138 @p137) :args ((not @t86) @t90 @t92)) % 0.38/0.58 (step @p140 :rule cnf_or_neg :args (@t86 0)) % 0.38/0.58 (step @p141 :rule chain_m_resolution :premises (@p140 @p139) :args (@t93 @t90 (@list @t86))) % 0.38/0.58 (step @p142 :rule refl :args (@t99)) % 0.38/0.58 (step @p143 :rule bool-double-not-elim :args (@t85)) % 0.38/0.58 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or (not @t93) @t99))) % 0.38/0.58 (assume-push @p262 @t93) % 0.38/0.58 (step @p146 :rule skolemize :premises (@p262)) % 0.38/0.58 (step-pop @p263 :rule scope :premises (@p146)) % 0.38/0.58 (step @p147 :rule process_scope :premises (@p263) :args (@t99)) % 0.38/0.58 (step @p149 :rule implies_elim :premises (@p147)) % 0.38/0.58 (step @p150 :rule eq_resolve :premises (@p149 @p144)) % 0.38/0.58 (step @p151 :rule chain_m_resolution :premises (@p150 @p141) :args (@t99 @t90 (@list @t85))) % 0.38/0.58 (step @p152 :rule bool-double-not-elim :args (@t96)) % 0.38/0.58 (step @p153 :rule refl :args (@t98)) % 0.38/0.58 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t98 (not @t97)))) % 0.38/0.58 (step @p155 :rule cnf_or_neg :args (@t98 0)) % 0.38/0.58 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.38/0.58 (step @p157 :rule reordering :premises (@p156) :args ((or @t96 @t98))) % 0.38/0.58 (step @p158 :rule chain_m_resolution :premises (@p157 @p151) :args (@t96 @t90 @t100)) % 0.38/0.58 (step @p159 :rule aci_norm :args ((= @t106 (or @t104 @t103 @t102)))) % 0.38/0.58 (step @p160 :rule cong :premises (@p159) :args (@t107)) % 0.38/0.58 (step @p161 :rule quant-merge-prenex :args ((= (forall @t3 @t109) @t107))) % 0.38/0.58 (step @p162 :rule alpha_equiv :args (@t110 (@list @t101) (@list @t5))) % 0.38/0.58 (step @p163 :rule refl :args (@t104)) % 0.38/0.58 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t111)) % 0.38/0.58 (step @p165 :rule quant-miniscope-or :args ((= @t109 @t111))) % 0.38/0.58 (step @p166 :rule trans :premises (@p165 @p164)) % 0.38/0.58 (step @p167 :rule symm :premises (@p166)) % 0.38/0.58 (step @p168 :rule cong :premises (@p167) :args ((forall @t3 (or @t104 @t112)))) % 0.38/0.58 (step @p169 :rule trans :premises (@p168 @p161)) % 0.38/0.58 (step @p170 :rule trans :premises (@p169 @p160)) % 0.38/0.58 (step @p171 :rule bool-impl-elim :args (@t2 @t112)) % 0.38/0.58 (step @p172 :rule cong :premises (@p171) :args ((forall @t3 (=> @t2 @t112)))) % 0.38/0.58 (step @p173 :rule trans :premises (@p172 @p170)) % 0.38/0.58 (step @p174 :rule bool-impl-elim :args (@t7 @t6)) % 0.38/0.58 (step @p175 :rule cong :premises (@p174) :args (@t9)) % 0.38/0.58 (step @p176 :rule refl :args (@t2)) % 0.38/0.58 (step @p177 :rule cong :premises (@p176 @p175) :args (@t10)) % 0.38/0.58 (step @p178 :rule cong :premises (@p177) :args (@t11)) % 0.38/0.58 (step @p179 :rule trans :premises (@p178 @p173)) % 0.38/0.58 (step @p180 :rule eq_resolve :premises (@p3 @p179)) % 0.38/0.58 (step @p181 :rule instantiate :premises (@p180) :args ((@list tptp.xS @t94))) % 0.38/0.58 (step @p182 :rule cnf_or_pos :args (@t115)) % 0.38/0.58 (step @p183 :rule reordering :premises (@p182) :args ((or @t114 @t97 @t113 (not @t115)))) % 0.38/0.58 (step @p184 :rule chain_m_resolution :premises (@p183 @p17 @p158 @p181) :args (@t113 (@list false false false) (@list @t30 @t96 @t115))) % 0.38/0.58 (step @p185 :rule cnf_implies_neg1 :args (@t87)) % 0.38/0.58 (step @p186 :rule reordering :premises (@p185) :args ((or @t42 @t87))) % 0.38/0.58 (step @p187 :rule chain_m_resolution :premises (@p186 @p137) :args (@t42 @t90 @t92)) % 0.38/0.58 (step @p188 :rule chain_m_resolution :premises (@p45 @p187) :args (@t41 @t89 (@list @t42))) % 0.38/0.58 (step @p189 :rule eq-symm :args (@t94 tptp.xx)) % 0.38/0.58 (step @p190 :rule refl :args (@t116)) % 0.38/0.58 (step @p191 :rule nary_cong :premises (@p190 @p189) :args (@t118)) % 0.38/0.58 (step @p192 :rule refl :args (@t113)) % 0.38/0.58 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t119)) % 0.38/0.58 (step @p194 :rule refl :args (@t95)) % 0.38/0.58 (step @p195 :rule cong :premises (@p194 @p193) :args (@t120)) % 0.38/0.58 (step @p196 :rule cong :premises (@p51 @p195) :args ((=> @t41 @t120))) % 0.38/0.58 (assume-push @p264 @t41) % 0.38/0.58 (step @p198 :rule instantiate :premises (@p264) :args (@t121)) % 0.38/0.58 (step-pop @p265 :rule scope :premises (@p198)) % 0.38/0.58 (step @p199 :rule process_scope :premises (@p265) :args (@t120)) % 0.38/0.58 (step @p201 :rule eq_resolve :premises (@p199 @p196)) % 0.38/0.58 (step @p202 :rule implies_elim :premises (@p201)) % 0.38/0.58 (step @p203 :rule chain_m_resolution :premises (@p202 @p188) :args (@t125 @t89 (@list @t41))) % 0.38/0.58 (step @p204 :rule cnf_or_neg :args (@t98 1)) % 0.38/0.58 (step @p205 :rule chain_m_resolution :premises (@p204 @p151) :args ((not @t95) @t90 @t100)) % 0.38/0.58 (step @p206 :rule cnf_equiv_pos2 :args (@t125)) % 0.38/0.58 (step @p207 :rule reordering :premises (@p206) :args ((or @t95 @t126 (not @t125)))) % 0.38/0.58 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p203) :args (@t126 @t127 (@list @t95 @t125))) % 0.38/0.58 (step @p209 :rule cnf_and_neg :args (@t124)) % 0.38/0.58 (step @p210 :rule chain_m_resolution :premises (@p209 @p208 @p184) :args ((not @t123) @t127 (@list @t124 @t113))) % 0.38/0.58 (step @p211 :rule cnf_or_neg :args (@t123 1)) % 0.38/0.58 (step @p212 :rule reordering :premises (@p211) :args ((or @t128 @t123))) % 0.38/0.58 (step @p213 :rule chain_m_resolution :premises (@p212 @p210) :args (@t128 @t90 @t129)) % 0.38/0.58 (step @p214 :rule cnf_implies_neg1 :args (@t88)) % 0.38/0.58 (step @p215 :rule reordering :premises (@p214) :args ((or @t45 @t88))) % 0.38/0.58 (step @p216 :rule chain_m_resolution :premises (@p215 @p135) :args (@t45 @t90 @t91)) % 0.38/0.58 (step @p217 :rule chain_m_resolution :premises (@p25 @p216) :args (@t44 @t89 (@list @t45))) % 0.38/0.58 (step @p218 :rule cong :premises (@p189) :args (@t130)) % 0.38/0.58 (step @p219 :rule refl :args (@t96)) % 0.38/0.58 (step @p220 :rule nary_cong :premises (@p192 @p219 @p218) :args (@t131)) % 0.38/0.58 (step @p221 :rule cong :premises (@p190 @p220) :args (@t132)) % 0.38/0.58 (step @p222 :rule cong :premises (@p36 @p221) :args ((=> @t44 @t132))) % 0.38/0.58 (assume-push @p266 @t44) % 0.38/0.58 (step @p224 :rule instantiate :premises (@p266) :args (@t121)) % 0.38/0.58 (step-pop @p267 :rule scope :premises (@p224)) % 0.38/0.58 (step @p225 :rule process_scope :premises (@p267) :args (@t132)) % 0.38/0.58 (step @p227 :rule eq_resolve :premises (@p225 @p222)) % 0.38/0.58 (step @p228 :rule implies_elim :premises (@p227)) % 0.38/0.58 (step @p229 :rule chain_m_resolution :premises (@p228 @p217) :args (@t134 @t89 (@list @t44))) % 0.38/0.58 (step @p230 :rule cnf_or_neg :args (@t123 0)) % 0.38/0.58 (step @p231 :rule chain_m_resolution :premises (@p230 @p210) :args ((not @t116) @t90 @t129)) % 0.38/0.58 (step @p232 :rule cnf_equiv_pos2 :args (@t134)) % 0.38/0.58 (step @p233 :rule reordering :premises (@p232) :args ((or @t116 @t135 (not @t134)))) % 0.38/0.58 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p229) :args (@t135 @t127 (@list @t116 @t134))) % 0.38/0.58 (step @p235 :rule bool-double-not-elim :args (@t122)) % 0.38/0.58 (step @p236 :rule refl :args (@t97)) % 0.38/0.58 (step @p237 :rule refl :args (@t136)) % 0.38/0.58 (step @p238 :rule refl :args (@t133)) % 0.38/0.58 (step @p239 :rule nary_cong :premises (@p238 @p237 @p236 @p235) :args ((or @t133 @t136 @t97 (not @t128)))) % 0.38/0.58 (step @p240 :rule cnf_and_neg :args (@t133)) % 0.38/0.58 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 0.38/0.58 (step @p242 :rule reordering :premises (@p241) :args ((or @t97 @t122 @t133 @t136))) % 0.38/0.58 (step @p243 false :rule chain_m_resolution :premises (@p242 @p234 @p213 @p184 @p158) :args (false (@list true true false false) (@list @t133 @t122 @t113 @t96))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------