%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM537+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 0.35s 0.59s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM537+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n017.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:27:01 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.59 % SZS status Theorem % 0.35/0.59 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort $$unsorted 0) % 0.35/0.59 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.slcrc0 $$unsorted) % 0.35/0.59 (declare-const tptp.xS $$unsorted) % 0.35/0.59 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.xx $$unsorted) % 0.35/0.59 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.35/0.59 (define @t1 () (@var "W0" $$unsorted)) % 0.35/0.59 (define @t2 () (tptp.aSet0 @t1)) % 0.35/0.59 (define @t3 () (@list @t1)) % 0.35/0.59 (define @t4 () (tptp.aElement0 @t1)) % 0.35/0.59 (define @t5 () (@var "W1" $$unsorted)) % 0.35/0.59 (define @t6 () (tptp.aElement0 @t5)) % 0.35/0.59 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.35/0.59 (define @t8 () (@list @t5)) % 0.35/0.59 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.35/0.59 (define @t10 () (=> @t2 @t9)) % 0.35/0.59 (define @t11 () (forall @t3 @t10)) % 0.35/0.59 (define @t12 () (tptp.isFinite0 @t1)) % 0.35/0.59 (define @t13 () (= @t1 tptp.slcrc0)) % 0.35/0.59 (define @t14 () (tptp.isCountable0 @t1)) % 0.35/0.59 (define @t15 () (and @t2 @t14)) % 0.35/0.59 (define @t16 () (@var "W2" $$unsorted)) % 0.35/0.59 (define @t17 () (@list @t16)) % 0.35/0.59 (define @t18 () (tptp.aSet0 @t5)) % 0.35/0.59 (define @t19 () (tptp.aSubsetOf0 @t5 @t1)) % 0.35/0.59 (define @t20 () (tptp.aSubsetOf0 @t1 @t5)) % 0.35/0.59 (define @t21 () (@list @t1 @t5)) % 0.35/0.59 (define @t22 () (tptp.aSet0 @t16)) % 0.35/0.59 (define @t23 () (@var "W3" $$unsorted)) % 0.35/0.59 (define @t24 () (= @t23 @t5)) % 0.35/0.59 (define @t25 () (tptp.aElementOf0 @t23 @t1)) % 0.35/0.59 (define @t26 () (tptp.aElement0 @t23)) % 0.35/0.59 (define @t27 () (tptp.aElementOf0 @t23 @t16)) % 0.35/0.59 (define @t28 () (@list @t23)) % 0.35/0.59 (define @t29 () (and @t2 @t6)) % 0.35/0.59 (define @t30 () (tptp.sdtmndt0 @t1 @t5)) % 0.35/0.59 (define @t31 () (tptp.aSet0 tptp.xS)) % 0.35/0.59 (define @t32 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 0.35/0.59 (define @t33 () (not @t32)) % 0.35/0.59 (define @t34 () (tptp.sdtpldt0 tptp.xS tptp.xx)) % 0.35/0.59 (define @t35 () (tptp.sdtmndt0 @t34 tptp.xx)) % 0.35/0.59 (define @t36 () (tptp.aSubsetOf0 @t35 tptp.xS)) % 0.35/0.59 (define @t37 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.35/0.59 (define @t38 () (tptp.aElementOf0 @t1 @t35)) % 0.35/0.59 (define @t39 () (forall @t3 (=> @t38 @t37))) % 0.35/0.59 (define @t40 () (or @t39 @t36)) % 0.35/0.59 (define @t41 () (= @t1 tptp.xx)) % 0.35/0.59 (define @t42 () (tptp.aElementOf0 @t1 @t34)) % 0.35/0.59 (define @t43 () (forall @t3 (= @t38 (and @t4 @t42 (not @t41))))) % 0.35/0.59 (define @t44 () (and (tptp.aSet0 @t35) @t43)) % 0.35/0.59 (define @t45 () (=> @t44 @t40)) % 0.35/0.59 (define @t46 () (forall @t3 (= @t42 (and @t4 (or @t37 @t41))))) % 0.35/0.59 (define @t47 () (and (tptp.aSet0 @t34) @t46)) % 0.35/0.59 (define @t48 () (=> @t47 @t45)) % 0.35/0.59 (define @t49 () (tptp.aSubsetOf0 tptp.xS @t35)) % 0.35/0.59 (define @t50 () (forall @t3 (=> @t37 @t38))) % 0.35/0.59 (define @t51 () (or @t50 @t49)) % 0.35/0.59 (define @t52 () (=> @t44 @t51)) % 0.35/0.59 (define @t53 () (=> @t47 @t52)) % 0.35/0.59 (define @t54 () (and @t53 @t48)) % 0.35/0.59 (define @t55 () (not @t54)) % 0.35/0.59 (define @t56 () (forall @t3 (or (not @t37) @t38))) % 0.35/0.59 (define @t57 () (or @t56 @t49)) % 0.35/0.59 (define @t58 () (=> @t44 @t57)) % 0.35/0.59 (define @t59 () (=> @t47 @t58)) % 0.35/0.59 (define @t60 () (@quantifiers_skolemize @t56 0)) % 0.35/0.59 (define @t61 () (tptp.aElementOf0 @t60 tptp.xS)) % 0.35/0.59 (define @t62 () (= @t60 tptp.xx)) % 0.35/0.59 (define @t63 () (or @t61 @t62)) % 0.35/0.59 (define @t64 () (tptp.aElement0 @t60)) % 0.35/0.59 (define @t65 () (and @t64 @t63)) % 0.35/0.59 (define @t66 () (tptp.aElementOf0 @t60 @t34)) % 0.35/0.59 (define @t67 () (= @t66 @t65)) % 0.35/0.59 (define @t68 () (@list @t60)) % 0.35/0.59 (define @t69 () (not @t62)) % 0.35/0.59 (define @t70 () (and @t64 @t66 @t69)) % 0.35/0.59 (define @t71 () (tptp.aElementOf0 @t60 @t35)) % 0.35/0.59 (define @t72 () (= @t71 @t70)) % 0.35/0.59 (define @t73 () (not @t61)) % 0.35/0.59 (define @t74 () (or @t73 @t71)) % 0.35/0.59 (define @t75 () (not @t74)) % 0.35/0.59 (define @t76 () (not @t56)) % 0.35/0.59 (define @t77 () (= tptp.xx @t60)) % 0.35/0.59 (define @t78 () (or @t61 @t77)) % 0.35/0.59 (define @t79 () (@var "BOUND_VARIABLE_7581" $$unsorted)) % 0.35/0.59 (define @t80 () (tptp.aElement0 @t79)) % 0.35/0.59 (define @t81 () (not (tptp.aElementOf0 @t79 @t1))) % 0.35/0.59 (define @t82 () (not @t2)) % 0.35/0.59 (define @t83 () (or @t81 @t80)) % 0.35/0.59 (define @t84 () (or @t82 @t83)) % 0.35/0.59 (define @t85 () (forall (@list @t1 @t79) @t84)) % 0.35/0.59 (define @t86 () (@list @t79)) % 0.35/0.59 (define @t87 () (forall @t86 @t84)) % 0.35/0.59 (define @t88 () (forall @t86 @t83)) % 0.35/0.59 (define @t89 () (or @t82 @t88)) % 0.35/0.59 (define @t90 () (forall @t8 (or (not @t7) @t6))) % 0.35/0.59 (define @t91 () (not @t31)) % 0.35/0.59 (define @t92 () (or @t91 @t73 @t64)) % 0.35/0.59 (define @t93 () (not @t77)) % 0.35/0.59 (define @t94 () (and @t64 @t66 @t93)) % 0.35/0.59 (define @t95 () (= @t71 @t94)) % 0.35/0.59 (define @t96 () (and @t64 @t78)) % 0.35/0.59 (define @t97 () (= @t66 @t96)) % 0.35/0.59 (define @t98 () (not @t66)) % 0.35/0.59 (define @t99 () (not @t64)) % 0.35/0.59 (define @t100 () (and @t61 @t77 @t33)) % 0.35/0.59 (define @t101 () (forall @t3 (or (not @t38) @t37))) % 0.35/0.59 (define @t102 () (or @t101 @t36)) % 0.35/0.59 (define @t103 () (=> @t44 @t102)) % 0.35/0.59 (define @t104 () (=> @t47 @t103)) % 0.35/0.59 (define @t105 () (@list false)) % 0.35/0.59 (define @t106 () (@list true)) % 0.35/0.59 (define @t107 () (@list @t104)) % 0.35/0.59 (define @t108 () (@quantifiers_skolemize @t101 0)) % 0.35/0.59 (define @t109 () (tptp.aElementOf0 @t108 tptp.xS)) % 0.35/0.59 (define @t110 () (= @t108 tptp.xx)) % 0.35/0.59 (define @t111 () (or @t109 @t110)) % 0.35/0.59 (define @t112 () (tptp.aElement0 @t108)) % 0.35/0.59 (define @t113 () (and @t112 @t111)) % 0.35/0.59 (define @t114 () (tptp.aElementOf0 @t108 @t34)) % 0.35/0.59 (define @t115 () (= @t114 @t113)) % 0.35/0.59 (define @t116 () (@list @t108)) % 0.35/0.59 (define @t117 () (= tptp.xx @t108)) % 0.35/0.59 (define @t118 () (or @t109 @t117)) % 0.35/0.59 (define @t119 () (and @t112 @t118)) % 0.35/0.59 (define @t120 () (= @t114 @t119)) % 0.35/0.59 (define @t121 () (@list @t103)) % 0.35/0.59 (define @t122 () (not @t110)) % 0.35/0.59 (define @t123 () (and @t112 @t114 @t122)) % 0.35/0.59 (define @t124 () (tptp.aElementOf0 @t108 @t35)) % 0.35/0.59 (define @t125 () (= @t124 @t123)) % 0.35/0.59 (define @t126 () (not @t117)) % 0.35/0.59 (define @t127 () (and @t112 @t114 @t126)) % 0.35/0.59 (define @t128 () (= @t124 @t127)) % 0.35/0.59 (define @t129 () (not @t101)) % 0.35/0.59 (define @t130 () (not @t124)) % 0.35/0.59 (define @t131 () (or @t130 @t109)) % 0.35/0.59 (define @t132 () (not @t131)) % 0.35/0.59 (define @t133 () (@list @t131)) % 0.35/0.59 (define @t134 () (@list false false)) % 0.35/0.59 (define @t135 () (not @t127)) % 0.35/0.59 (define @t136 () (@list @t127)) % 0.35/0.59 (define @t137 () (not @t118)) % 0.35/0.59 (assume @p1 (forall @t3 (=> @t2 true))) % 0.35/0.59 (assume @p2 (forall @t3 (=> @t4 true))) % 0.35/0.59 (assume @p3 @t11) % 0.35/0.59 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 0.35/0.59 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 0.35/0.59 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 0.35/0.59 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 0.35/0.59 (assume @p8 (forall @t3 (=> @t15 (not @t12)))) % 0.35/0.59 (assume @p9 (forall @t3 (=> @t15 (not @t13)))) % 0.35/0.59 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t19 (and @t18 (forall @t17 (=> (tptp.aElementOf0 @t16 @t5) (tptp.aElementOf0 @t16 @t1))))))))) % 0.35/0.59 (assume @p11 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t19 (tptp.isFinite0 @t5)))))) % 0.35/0.59 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 0.35/0.59 (assume @p13 (forall @t21 (=> (and @t2 @t18) (=> (and @t20 @t19) (= @t1 @t5))))) % 0.35/0.59 (assume @p14 (forall (@list @t1 @t5 @t16) (=> (and @t2 @t18 @t22) (=> (and @t20 (tptp.aSubsetOf0 @t5 @t16)) (tptp.aSubsetOf0 @t1 @t16))))) % 0.35/0.59 (assume @p15 (forall @t21 (=> @t29 (forall @t17 (= (= @t16 (tptp.sdtpldt0 @t1 @t5)) (and @t22 (forall @t28 (= @t27 (and @t26 (or @t25 @t24)))))))))) % 0.35/0.59 (assume @p16 (forall @t21 (=> @t29 (forall @t17 (= (= @t16 @t30) (and @t22 (forall @t28 (= @t27 (and @t26 @t25 (not @t24)))))))))) % 0.35/0.59 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t30 @t5) @t1)))))) % 0.35/0.59 (assume @p18 (and (tptp.aElement0 tptp.xx) @t31)) % 0.35/0.59 (assume @p19 @t33) % 0.35/0.59 (assume @p20 @t55) % 0.35/0.59 (assume @p21 true) % 0.35/0.59 (step @p22 :rule cnf_implies_neg1 :args (@t59)) % 0.35/0.59 (step @p23 :rule reordering :premises (@p22) :args ((or @t47 @t59))) % 0.35/0.59 (step @p24 :rule cnf_implies_neg2 :args (@t59)) % 0.35/0.59 (step @p25 :rule cnf_and_pos :args (@t47 1)) % 0.35/0.59 (step @p26 :rule reordering :premises (@p25) :args ((or @t46 (not @t47)))) % 0.35/0.59 (step @p27 :rule cnf_implies_neg1 :args (@t58)) % 0.35/0.59 (step @p28 :rule reordering :premises (@p27) :args ((or @t44 @t58))) % 0.35/0.59 (step @p29 :rule cnf_implies_neg2 :args (@t58)) % 0.35/0.59 (step @p30 :rule eq-symm :args (@t60 tptp.xx)) % 0.35/0.59 (step @p31 :rule refl :args (@t61)) % 0.35/0.59 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t63)) % 0.35/0.59 (step @p33 :rule refl :args (@t64)) % 0.35/0.59 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t65)) % 0.35/0.59 (step @p35 :rule refl :args (@t66)) % 0.35/0.59 (step @p36 :rule cong :premises (@p35 @p34) :args (@t67)) % 0.35/0.59 (step @p37 :rule refl :args (@t46)) % 0.35/0.59 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t46 @t67))) % 0.35/0.59 (assume-push @p246 @t46) % 0.35/0.59 (step @p40 :rule instantiate :premises (@p246) :args (@t68)) % 0.35/0.59 (step-pop @p247 :rule scope :premises (@p40)) % 0.35/0.59 (step @p41 :rule process_scope :premises (@p247) :args (@t67)) % 0.35/0.59 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.35/0.59 (step @p44 :rule implies_elim :premises (@p43)) % 0.35/0.59 (step @p45 :rule cnf_and_pos :args (@t44 1)) % 0.35/0.59 (step @p46 :rule reordering :premises (@p45) :args ((or @t43 (not @t44)))) % 0.35/0.59 (step @p47 :rule cnf_or_neg :args (@t57 0)) % 0.35/0.59 (step @p48 :rule cong :premises (@p30) :args (@t69)) % 0.35/0.59 (step @p49 :rule nary_cong :premises (@p33 @p35 @p48) :args (@t70)) % 0.35/0.59 (step @p50 :rule refl :args (@t71)) % 0.35/0.59 (step @p51 :rule cong :premises (@p50 @p49) :args (@t72)) % 0.35/0.59 (step @p52 :rule refl :args (@t43)) % 0.35/0.59 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t43 @t72))) % 0.35/0.59 (assume-push @p248 @t43) % 0.35/0.59 (step @p55 :rule instantiate :premises (@p248) :args (@t68)) % 0.35/0.59 (step-pop @p249 :rule scope :premises (@p55)) % 0.35/0.59 (step @p56 :rule process_scope :premises (@p249) :args (@t72)) % 0.35/0.59 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.35/0.59 (step @p59 :rule implies_elim :premises (@p58)) % 0.35/0.59 (step @p60 :rule refl :args (@t75)) % 0.35/0.59 (step @p61 :rule bool-double-not-elim :args (@t56)) % 0.35/0.59 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t76) @t75))) % 0.35/0.59 (assume-push @p250 @t76) % 0.35/0.59 (step @p64 :rule skolemize :premises (@p250)) % 0.35/0.59 (step-pop @p251 :rule scope :premises (@p64)) % 0.35/0.59 (step @p65 :rule process_scope :premises (@p251) :args (@t75)) % 0.35/0.59 (step @p67 :rule implies_elim :premises (@p65)) % 0.35/0.59 (step @p68 :rule eq_resolve :premises (@p67 @p62)) % 0.35/0.59 (step @p69 :rule bool-double-not-elim :args (@t61)) % 0.35/0.59 (step @p70 :rule refl :args (@t74)) % 0.35/0.59 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t74 (not @t73)))) % 0.35/0.59 (step @p72 :rule cnf_or_neg :args (@t74 0)) % 0.35/0.59 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.35/0.59 (step @p74 :rule reordering :premises (@p73) :args ((or @t61 @t74))) % 0.35/0.59 (step @p75 :rule cnf_or_neg :args (@t74 1)) % 0.35/0.59 (step @p76 :rule cnf_or_neg :args (@t78 0)) % 0.35/0.59 (step @p77 :rule reordering :premises (@p76) :args ((or @t73 @t78))) % 0.35/0.59 (step @p78 :rule and_elim :premises (@p18) :args (1)) % 0.35/0.59 (step @p79 :rule aci_norm :args ((= @t84 (or @t82 @t81 @t80)))) % 0.35/0.59 (step @p80 :rule cong :premises (@p79) :args (@t85)) % 0.35/0.59 (step @p81 :rule quant-merge-prenex :args ((= (forall @t3 @t87) @t85))) % 0.35/0.59 (step @p82 :rule alpha_equiv :args (@t88 (@list @t79) (@list @t5))) % 0.35/0.59 (step @p83 :rule refl :args (@t82)) % 0.35/0.59 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t89)) % 0.35/0.59 (step @p85 :rule quant-miniscope-or :args ((= @t87 @t89))) % 0.35/0.59 (step @p86 :rule trans :premises (@p85 @p84)) % 0.35/0.59 (step @p87 :rule symm :premises (@p86)) % 0.35/0.59 (step @p88 :rule cong :premises (@p87) :args ((forall @t3 (or @t82 @t90)))) % 0.35/0.59 (step @p89 :rule trans :premises (@p88 @p81)) % 0.35/0.59 (step @p90 :rule trans :premises (@p89 @p80)) % 0.35/0.59 (step @p91 :rule bool-impl-elim :args (@t2 @t90)) % 0.35/0.59 (step @p92 :rule cong :premises (@p91) :args ((forall @t3 (=> @t2 @t90)))) % 0.35/0.59 (step @p93 :rule trans :premises (@p92 @p90)) % 0.35/0.59 (step @p94 :rule bool-impl-elim :args (@t7 @t6)) % 0.35/0.59 (step @p95 :rule cong :premises (@p94) :args (@t9)) % 0.35/0.59 (step @p96 :rule refl :args (@t2)) % 0.35/0.59 (step @p97 :rule cong :premises (@p96 @p95) :args (@t10)) % 0.35/0.59 (step @p98 :rule cong :premises (@p97) :args (@t11)) % 0.35/0.59 (step @p99 :rule trans :premises (@p98 @p93)) % 0.35/0.59 (step @p100 :rule eq_resolve :premises (@p3 @p99)) % 0.35/0.59 (step @p101 :rule instantiate :premises (@p100) :args ((@list tptp.xS @t60))) % 0.35/0.59 (step @p102 :rule cnf_or_pos :args (@t92)) % 0.35/0.59 (step @p103 :rule reordering :premises (@p102) :args ((or @t91 @t73 @t64 (not @t92)))) % 0.35/0.59 (step @p104 :rule cnf_equiv_pos2 :args (@t95)) % 0.35/0.59 (step @p105 :rule reordering :premises (@p104) :args ((or @t71 (not @t94) (not @t95)))) % 0.35/0.59 (step @p106 :rule cnf_and_neg :args (@t96)) % 0.35/0.59 (step @p107 :rule cnf_equiv_pos2 :args (@t97)) % 0.35/0.59 (step @p108 :rule reordering :premises (@p107) :args ((or @t66 (not @t96) (not @t97)))) % 0.35/0.59 (step @p109 :rule bool-double-not-elim :args (@t77)) % 0.35/0.59 (step @p110 :rule refl :args (@t98)) % 0.35/0.59 (step @p111 :rule refl :args (@t99)) % 0.35/0.59 (step @p112 :rule refl :args (@t94)) % 0.35/0.59 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109) :args ((or @t94 @t99 @t98 (not @t93)))) % 0.35/0.59 (step @p114 :rule cnf_and_neg :args (@t94)) % 0.35/0.59 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.35/0.59 (step @p116 :rule reordering :premises (@p115) :args ((or @t77 @t94 @t99 @t98))) % 0.35/0.59 (step @p117 :rule refl :args (@t93)) % 0.35/0.59 (step @p118 :rule refl :args (@t73)) % 0.35/0.59 (step @p119 :rule bool-double-not-elim :args (@t32)) % 0.35/0.59 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args ((or (not @t33) @t73 @t93))) % 0.35/0.59 (assume-push @p252 @t61) % 0.35/0.59 (assume-push @p253 @t77) % 0.35/0.59 (assume-push @p254 @t33) % 0.35/0.59 (step @p124 :rule evaluate :args ((= false true))) % 0.35/0.59 (step @p125 :rule true_intro :premises (@p252)) % 0.35/0.59 (step @p126 :rule refl :args (tptp.xS)) % 0.35/0.59 (step @p127 :rule cong :premises (@p253 @p126) :args (@t32)) % 0.35/0.59 (step @p128 :rule false_intro :premises (@p19)) % 0.35/0.59 (step @p129 :rule symm :premises (@p128)) % 0.35/0.59 (step @p130 :rule trans :premises (@p129 @p127 @p125)) % 0.35/0.59 (step @p131 false :rule eq_resolve :premises (@p130 @p124)) % 0.35/0.59 (step-pop @p255 :rule scope :premises (@p131)) % 0.35/0.59 (step-pop @p256 :rule scope :premises (@p255)) % 0.35/0.59 (step-pop @p257 :rule scope :premises (@p256)) % 0.35/0.59 (step @p132 :rule process_scope :premises (@p257) :args (false)) % 0.35/0.59 (assume-push @p258 @t33) % 0.35/0.59 (assume-push @p259 @t61) % 0.35/0.59 (assume-push @p260 @t77) % 0.35/0.59 (step @p139 :rule and_intro :premises (@p259 @p260 @p19)) % 0.35/0.59 (step-pop @p261 :rule scope :premises (@p139)) % 0.35/0.59 (step-pop @p262 :rule scope :premises (@p261)) % 0.35/0.59 (step-pop @p263 :rule scope :premises (@p262)) % 0.35/0.59 (step @p140 :rule process_scope :premises (@p263) :args (@t100)) % 0.35/0.59 (step @p144 :rule implies_elim :premises (@p140)) % 0.35/0.59 (step @p145 :rule resolution :premises (@p144 @p132) :args (true @t100)) % 0.35/0.59 (step @p146 :rule not_and :premises (@p145)) % 0.35/0.59 (step @p147 :rule eq_resolve :premises (@p146 @p120)) % 0.35/0.59 (step @p148 :rule chain_m_resolution :premises (@p147 @p19 @p116 @p108 @p106 @p105 @p103 @p101 @p78 @p77 @p75 @p74 @p68 @p59 @p47 @p46 @p44 @p29 @p28 @p26 @p24 @p23) :args (@t59 (@list true false false false true false false false false true false true false true false false true false false true false) (@list @t32 @t77 @t66 @t96 @t94 @t64 @t92 @t31 @t78 @t71 @t61 @t74 @t95 @t56 @t43 @t97 @t57 @t44 @t46 @t58 @t47))) % 0.35/0.59 (step @p149 :rule refl :args (@t36)) % 0.35/0.59 (step @p150 :rule bool-impl-elim :args (@t38 @t37)) % 0.35/0.59 (step @p151 :rule cong :premises (@p150) :args (@t39)) % 0.35/0.59 (step @p152 :rule nary_cong :premises (@p151 @p149) :args (@t40)) % 0.35/0.59 (step @p153 :rule refl :args (@t44)) % 0.35/0.59 (step @p154 :rule cong :premises (@p153 @p152) :args (@t45)) % 0.35/0.59 (step @p155 :rule refl :args (@t47)) % 0.35/0.59 (step @p156 :rule cong :premises (@p155 @p154) :args (@t48)) % 0.35/0.59 (step @p157 :rule refl :args (@t49)) % 0.35/0.59 (step @p158 :rule bool-impl-elim :args (@t37 @t38)) % 0.35/0.59 (step @p159 :rule cong :premises (@p158) :args (@t50)) % 0.35/0.59 (step @p160 :rule nary_cong :premises (@p159 @p157) :args (@t51)) % 0.35/0.59 (step @p161 :rule cong :premises (@p153 @p160) :args (@t52)) % 0.35/0.59 (step @p162 :rule cong :premises (@p155 @p161) :args (@t53)) % 0.35/0.59 (step @p163 :rule nary_cong :premises (@p162 @p156) :args (@t54)) % 0.35/0.59 (step @p164 :rule cong :premises (@p163) :args (@t55)) % 0.35/0.59 (step @p165 :rule eq_resolve :premises (@p20 @p164)) % 0.35/0.59 (step @p166 :rule not_and :premises (@p165)) % 0.35/0.59 (step @p167 :rule chain_m_resolution :premises (@p166 @p148) :args ((not @t104) @t105 (@list @t59))) % 0.35/0.59 (step @p168 :rule cnf_implies_neg1 :args (@t104)) % 0.35/0.59 (step @p169 :rule reordering :premises (@p168) :args ((or @t47 @t104))) % 0.35/0.59 (step @p170 :rule chain_m_resolution :premises (@p169 @p167) :args (@t47 @t106 @t107)) % 0.35/0.59 (step @p171 :rule chain_m_resolution :premises (@p26 @p170) :args (@t46 @t105 (@list @t47))) % 0.35/0.59 (step @p172 :rule eq-symm :args (@t108 tptp.xx)) % 0.35/0.59 (step @p173 :rule refl :args (@t109)) % 0.35/0.59 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t111)) % 0.35/0.59 (step @p175 :rule refl :args (@t112)) % 0.35/0.59 (step @p176 :rule nary_cong :premises (@p175 @p174) :args (@t113)) % 0.35/0.59 (step @p177 :rule refl :args (@t114)) % 0.35/0.59 (step @p178 :rule cong :premises (@p177 @p176) :args (@t115)) % 0.35/0.59 (step @p179 :rule cong :premises (@p37 @p178) :args ((=> @t46 @t115))) % 0.35/0.59 (assume-push @p264 @t46) % 0.35/0.59 (step @p181 :rule instantiate :premises (@p264) :args (@t116)) % 0.35/0.59 (step-pop @p265 :rule scope :premises (@p181)) % 0.35/0.59 (step @p182 :rule process_scope :premises (@p265) :args (@t115)) % 0.35/0.59 (step @p184 :rule eq_resolve :premises (@p182 @p179)) % 0.35/0.59 (step @p185 :rule implies_elim :premises (@p184)) % 0.35/0.59 (step @p186 :rule chain_m_resolution :premises (@p185 @p171) :args (@t120 @t105 (@list @t46))) % 0.35/0.60 (step @p187 :rule cnf_implies_neg2 :args (@t104)) % 0.35/0.60 (step @p188 :rule chain_m_resolution :premises (@p187 @p167) :args ((not @t103) @t106 @t107)) % 0.35/0.60 (step @p189 :rule cnf_implies_neg1 :args (@t103)) % 0.35/0.60 (step @p190 :rule reordering :premises (@p189) :args ((or @t44 @t103))) % 0.35/0.60 (step @p191 :rule chain_m_resolution :premises (@p190 @p188) :args (@t44 @t106 @t121)) % 0.35/0.60 (step @p192 :rule chain_m_resolution :premises (@p46 @p191) :args (@t43 @t105 (@list @t44))) % 0.35/0.60 (step @p193 :rule cong :premises (@p172) :args (@t122)) % 0.35/0.60 (step @p194 :rule nary_cong :premises (@p175 @p177 @p193) :args (@t123)) % 0.35/0.60 (step @p195 :rule refl :args (@t124)) % 0.35/0.60 (step @p196 :rule cong :premises (@p195 @p194) :args (@t125)) % 0.35/0.60 (step @p197 :rule cong :premises (@p52 @p196) :args ((=> @t43 @t125))) % 0.35/0.60 (assume-push @p266 @t43) % 0.35/0.60 (step @p199 :rule instantiate :premises (@p266) :args (@t116)) % 0.35/0.60 (step-pop @p267 :rule scope :premises (@p199)) % 0.35/0.60 (step @p200 :rule process_scope :premises (@p267) :args (@t125)) % 0.35/0.60 (step @p202 :rule eq_resolve :premises (@p200 @p197)) % 0.35/0.60 (step @p203 :rule implies_elim :premises (@p202)) % 0.35/0.60 (step @p204 :rule chain_m_resolution :premises (@p203 @p192) :args (@t128 @t105 (@list @t43))) % 0.35/0.60 (step @p205 :rule cnf_implies_neg2 :args (@t103)) % 0.35/0.60 (step @p206 :rule chain_m_resolution :premises (@p205 @p188) :args ((not @t102) @t106 @t121)) % 0.35/0.60 (step @p207 :rule cnf_or_neg :args (@t102 0)) % 0.35/0.60 (step @p208 :rule chain_m_resolution :premises (@p207 @p206) :args (@t129 @t106 (@list @t102))) % 0.35/0.60 (step @p209 :rule refl :args (@t132)) % 0.35/0.60 (step @p210 :rule bool-double-not-elim :args (@t101)) % 0.35/0.60 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or (not @t129) @t132))) % 0.35/0.60 (assume-push @p268 @t129) % 0.35/0.60 (step @p213 :rule skolemize :premises (@p268)) % 0.35/0.60 (step-pop @p269 :rule scope :premises (@p213)) % 0.35/0.60 (step @p214 :rule process_scope :premises (@p269) :args (@t132)) % 0.35/0.60 (step @p216 :rule implies_elim :premises (@p214)) % 0.35/0.60 (step @p217 :rule eq_resolve :premises (@p216 @p211)) % 0.35/0.60 (step @p218 :rule chain_m_resolution :premises (@p217 @p208) :args (@t132 @t106 (@list @t101))) % 0.35/0.60 (step @p219 :rule bool-double-not-elim :args (@t124)) % 0.35/0.60 (step @p220 :rule refl :args (@t131)) % 0.35/0.60 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t131 (not @t130)))) % 0.35/0.60 (step @p222 :rule cnf_or_neg :args (@t131 0)) % 0.35/0.60 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 0.35/0.60 (step @p224 :rule reordering :premises (@p223) :args ((or @t124 @t131))) % 0.35/0.60 (step @p225 :rule chain_m_resolution :premises (@p224 @p218) :args (@t124 @t106 @t133)) % 0.35/0.60 (step @p226 :rule cnf_equiv_pos1 :args (@t128)) % 0.35/0.60 (step @p227 :rule reordering :premises (@p226) :args ((or @t130 @t127 (not @t128)))) % 0.35/0.60 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p204) :args (@t127 @t134 (@list @t124 @t128))) % 0.35/0.60 (step @p229 :rule cnf_and_pos :args (@t127 1)) % 0.35/0.60 (step @p230 :rule reordering :premises (@p229) :args ((or @t114 @t135))) % 0.35/0.60 (step @p231 :rule chain_m_resolution :premises (@p230 @p228) :args (@t114 @t105 @t136)) % 0.35/0.60 (step @p232 :rule cnf_equiv_pos1 :args (@t120)) % 0.35/0.60 (step @p233 :rule reordering :premises (@p232) :args ((or @t119 (not @t114) (not @t120)))) % 0.35/0.60 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p186) :args (@t119 @t134 (@list @t114 @t120))) % 0.35/0.60 (step @p235 :rule cnf_and_pos :args (@t127 2)) % 0.35/0.60 (step @p236 :rule reordering :premises (@p235) :args ((or @t126 @t135))) % 0.35/0.60 (step @p237 :rule chain_m_resolution :premises (@p236 @p228) :args (@t126 @t105 @t136)) % 0.35/0.60 (step @p238 :rule cnf_or_neg :args (@t131 1)) % 0.35/0.60 (step @p239 :rule chain_m_resolution :premises (@p238 @p218) :args ((not @t109) @t106 @t133)) % 0.35/0.60 (step @p240 :rule cnf_or_pos :args (@t118)) % 0.35/0.60 (step @p241 :rule reordering :premises (@p240) :args ((or @t109 @t117 @t137))) % 0.35/0.60 (step @p242 :rule chain_m_resolution :premises (@p241 @p239 @p237) :args (@t137 (@list true true) (@list @t109 @t117))) % 0.35/0.60 (step @p243 :rule cnf_and_pos :args (@t119 1)) % 0.35/0.60 (step @p244 :rule reordering :premises (@p243) :args ((or @t118 (not @t119)))) % 0.35/0.60 (step @p245 false :rule chain_m_resolution :premises (@p244 @p242 @p234) :args (false (@list true false) (@list @t118 @t119))) % 0.35/0.60 ) % 0.35/0.60 % SZS output end Proof % 0.35/0.60 % cvc5 exiting %------------------------------------------------------------------------------