%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU957^5 : 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 : 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 08:53:35 AM UTC 2026 % Result : Theorem 16.13s 16.37s % Output : Proof 16.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU957^5 : 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 % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:00:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 16.13/16.37 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 16.13/16.37 % SZS status Theorem % 16.13/16.37 % SZS output start Proof % 16.13/16.37 ( % 16.13/16.37 (declare-sort tptp.a 0) % 16.13/16.37 (declare-sort tptp.b 0) % 16.13/16.37 (define @t1 () (@var "Xy" tptp.b)) % 16.13/16.37 (define @t2 () (@var "Xx" tptp.b)) % 16.13/16.37 (define @t3 () (= @t2 @t1)) % 16.13/16.37 (define @t4 () (@var "Xf" (-> tptp.b tptp.a))) % 16.13/16.37 (define @t5 () (_ @t4 @t1)) % 16.13/16.37 (define @t6 () (_ @t4 @t2)) % 16.13/16.37 (define @t7 () (= @t6 @t5)) % 16.13/16.37 (define @t8 () (@list @t2 @t1)) % 16.13/16.37 (define @t9 () (forall @t8 (=> @t7 @t3))) % 16.13/16.37 (define @t10 () (@list @t4)) % 16.13/16.37 (define @t11 () (exists @t10 @t9)) % 16.13/16.37 (define @t12 () (@var "Y" tptp.b)) % 16.13/16.37 (define @t13 () (@var "X" tptp.a)) % 16.13/16.37 (define @t14 () (@var "Xg" (-> tptp.a tptp.b))) % 16.13/16.37 (define @t15 () (_ @t14 @t13)) % 16.13/16.37 (define @t16 () (@list @t13)) % 16.13/16.37 (define @t17 () (exists @t16 (= @t15 @t12))) % 16.13/16.37 (define @t18 () (@list @t12)) % 16.13/16.37 (define @t19 () (forall @t18 @t17)) % 16.13/16.37 (define @t20 () (@list @t14)) % 16.13/16.37 (define @t21 () (exists @t20 @t19)) % 16.13/16.37 (define @t22 () (=> @t21 @t11)) % 16.13/16.37 (define @t23 () (@var "X" (-> tptp.a Bool))) % 16.13/16.37 (define @t24 () (@var "Xc" (-> (-> tptp.a Bool) tptp.a))) % 16.13/16.37 (define @t25 () (_ @t24 @t23)) % 16.13/16.37 (define @t26 () (_ @t23 @t25)) % 16.13/16.37 (define @t27 () (@var "Xt" tptp.a)) % 16.13/16.37 (define @t28 () (_ @t23 @t27)) % 16.13/16.37 (define @t29 () (@list @t27)) % 16.13/16.37 (define @t30 () (exists @t29 @t28)) % 16.13/16.37 (define @t31 () (=> @t30 @t26)) % 16.13/16.37 (define @t32 () (@list @t23)) % 16.13/16.37 (define @t33 () (forall @t32 @t31)) % 16.13/16.37 (define @t34 () (@list @t24)) % 16.13/16.37 (define @t35 () (exists @t34 @t33)) % 16.13/16.37 (define @t36 () (=> @t35 @t22)) % 16.13/16.37 (define @t37 () (not @t36)) % 16.13/16.37 (define @t38 () (_ @t4 @t1)) % 16.13/16.37 (define @t39 () (_ @t4 @t2)) % 16.13/16.37 (define @t40 () (forall @t8 (or (not (= @t39 @t38)) @t3))) % 16.13/16.37 (define @t41 () (forall @t10 (not @t40))) % 16.13/16.37 (define @t42 () (not @t7)) % 16.13/16.37 (define @t43 () (or @t42 @t3)) % 16.13/16.37 (define @t44 () (_ @t14 @t13)) % 16.13/16.37 (define @t45 () (forall @t18 (not (forall @t16 (not (= @t12 @t44)))))) % 16.13/16.37 (define @t46 () (forall @t20 (not @t45))) % 16.13/16.37 (define @t47 () (not @t46)) % 16.13/16.37 (define @t48 () (= @t12 @t15)) % 16.13/16.37 (define @t49 () (not @t48)) % 16.13/16.37 (define @t50 () (forall @t16 @t49)) % 16.13/16.37 (define @t51 () (not @t50)) % 16.13/16.37 (define @t52 () (_ @t24 @t23)) % 16.13/16.38 (define @t53 () (_ @t23 @t52)) % 16.13/16.38 (define @t54 () (@var "BOUND_VARIABLE_7467" tptp.a)) % 16.13/16.38 (define @t55 () (not (_ @t23 @t54))) % 16.13/16.38 (define @t56 () (or @t55 @t53)) % 16.13/16.38 (define @t57 () (forall (@list @t23 @t54) @t56)) % 16.13/16.38 (define @t58 () (@list @t54)) % 16.13/16.38 (define @t59 () (forall @t58 @t56)) % 16.13/16.38 (define @t60 () (forall @t58 @t55)) % 16.13/16.38 (define @t61 () (or @t60 @t53)) % 16.13/16.38 (define @t62 () (_ @t23 @t27)) % 16.13/16.38 (define @t63 () (forall @t29 (not @t62))) % 16.13/16.38 (define @t64 () (or @t63 @t26)) % 16.13/16.38 (define @t65 () (not @t63)) % 16.13/16.38 (define @t66 () (not @t28)) % 16.13/16.38 (define @t67 () (forall @t29 @t66)) % 16.13/16.38 (define @t68 () (not @t67)) % 16.13/16.38 (define @t69 () (@const 0 (-> tptp.b tptp.a))) % 16.13/16.38 (define @t70 () (_ @t69 @t1)) % 16.13/16.38 (define @t71 () (@var "BOUND_VARIABLE_21670" tptp.b)) % 16.13/16.38 (define @t72 () (_ @t69 @t71)) % 16.13/16.38 (define @t73 () (@list @t71)) % 16.13/16.38 (define @t74 () (lambda @t73 @t72)) % 16.13/16.38 (define @t75 () (_ @t74 @t1)) % 16.13/16.38 (define @t76 () (_ @t69 @t2)) % 16.13/16.38 (define @t77 () (_ @t74 @t2)) % 16.13/16.38 (define @t78 () (= @t77 @t75)) % 16.13/16.38 (define @t79 () (not @t78)) % 16.13/16.38 (define @t80 () (or @t79 @t3)) % 16.13/16.38 (define @t81 () (forall @t8 @t80)) % 16.13/16.38 (define @t82 () (not @t81)) % 16.13/16.38 (define @t83 () (forall @t8 (or (not (= @t76 @t70)) @t3))) % 16.13/16.38 (define @t84 () (@list false)) % 16.13/16.38 (define @t85 () (@quantifiers_skolemize @t83 1)) % 16.13/16.38 (define @t86 () (_ @t69 @t85)) % 16.13/16.38 (define @t87 () (@quantifiers_skolemize @t83 0)) % 16.13/16.38 (define @t88 () (_ @t69 @t87)) % 16.13/16.38 (define @t89 () (= @t88 @t86)) % 16.13/16.38 (define @t90 () (= @t87 @t85)) % 16.13/16.38 (define @t91 () (not @t89)) % 16.13/16.38 (define @t92 () (or @t91 @t90)) % 16.13/16.38 (define @t93 () (@list true)) % 16.13/16.38 (define @t94 () (@list @t92)) % 16.13/16.38 (define @t95 () (not @t90)) % 16.13/16.38 (define @t96 () (@quantifiers_skolemize @t46 0)) % 16.13/16.38 (define @t97 () (@var "x" tptp.a)) % 16.13/16.38 (define @t98 () (_ @t96 @t97)) % 16.13/16.38 (define @t99 () (@list @t97)) % 16.13/16.38 (define @t100 () (forall @t73 (or (forall @t99 (not (= @t71 @t98))) (= @t71 (_ @t96 @t72))))) % 16.13/16.38 (define @t101 () (_ @t96 @t88)) % 16.13/16.38 (define @t102 () (= @t87 @t101)) % 16.13/16.38 (define @t103 () (not (= @t87 @t98))) % 16.13/16.38 (define @t104 () (forall @t99 @t103)) % 16.13/16.38 (define @t105 () (or @t104 @t102)) % 16.13/16.38 (define @t106 () (@list @t87)) % 16.13/16.38 (define @t107 () (forall @t99 (not (= @t98 @t87)))) % 16.13/16.38 (define @t108 () (or @t107 @t102)) % 16.13/16.38 (define @t109 () (@list @t100)) % 16.13/16.38 (define @t110 () (_ @t96 @t13)) % 16.13/16.38 (define @t111 () (forall @t18 (not (forall @t16 (not (= @t12 @t110)))))) % 16.13/16.38 (define @t112 () (not (not @t111))) % 16.13/16.38 (define @t113 () (not (= @t87 @t110))) % 16.13/16.38 (define @t114 () (forall @t16 @t113)) % 16.13/16.38 (define @t115 () (not @t114)) % 16.13/16.38 (define @t116 () (forall @t16 (not (= @t110 @t87)))) % 16.13/16.38 (define @t117 () (@list @t111)) % 16.13/16.38 (define @t118 () (@list @t97)) % 16.13/16.38 (define @t119 () (@list @t13)) % 16.13/16.38 (define @t120 () (@list true false)) % 16.13/16.38 (define @t121 () (@list @t107 @t108)) % 16.13/16.38 (define @t122 () (_ @t96 @t86)) % 16.13/16.38 (define @t123 () (= @t85 @t122)) % 16.13/16.38 (define @t124 () (not (= @t85 @t98))) % 16.13/16.38 (define @t125 () (forall @t99 @t124)) % 16.13/16.38 (define @t126 () (or @t125 @t123)) % 16.13/16.38 (define @t127 () (@list @t85)) % 16.13/16.38 (define @t128 () (forall @t99 (not (= @t98 @t85)))) % 16.13/16.38 (define @t129 () (or @t128 @t123)) % 16.13/16.38 (define @t130 () (not (= @t85 @t110))) % 16.13/16.38 (define @t131 () (forall @t16 @t130)) % 16.13/16.38 (define @t132 () (not @t131)) % 16.13/16.38 (define @t133 () (forall @t16 (not (= @t110 @t85)))) % 16.13/16.38 (define @t134 () (not @t123)) % 16.13/16.38 (define @t135 () (not @t102)) % 16.13/16.38 (define @t136 () (= @t87 @t122)) % 16.13/16.38 (define @t137 () (and @t102 @t136 @t123 @t95)) % 16.13/16.38 (assume @p1 @t37) % 16.13/16.38 (assume @p2 true) % 16.13/16.38 (step @p3 :rule exists-elim :args ((= (exists @t10 @t40) (not @t41)))) % 16.13/16.38 (step @p4 :rule refl :args (@t3)) % 16.13/16.38 (step @p5 :rule refl :args (@t38)) % 16.13/16.38 (step @p6 :rule refl :args (@t5)) % 16.13/16.38 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t5 @t38))) % 16.13/16.38 (step @p8 :rule symm :premises (@p7)) % 16.13/16.38 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 16.13/16.38 (step @p10 :rule refl :args (@t39)) % 16.13/16.38 (step @p11 :rule refl :args (@t6)) % 16.13/16.38 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t6 @t39))) % 16.13/16.38 (step @p13 :rule symm :premises (@p12)) % 16.13/16.38 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 16.13/16.38 (step @p15 :rule cong :premises (@p14 @p9) :args (@t7)) % 16.13/16.38 (step @p16 :rule cong :premises (@p15) :args (@t42)) % 16.13/16.38 (step @p17 :rule nary_cong :premises (@p16 @p4) :args (@t43)) % 16.13/16.38 (step @p18 :rule cong :premises (@p17) :args ((forall @t8 @t43))) % 16.13/16.38 (step @p19 :rule bool-impl-elim :args (@t7 @t3)) % 16.13/16.38 (step @p20 :rule cong :premises (@p19) :args (@t9)) % 16.13/16.38 (step @p21 :rule trans :premises (@p20 @p18)) % 16.13/16.38 (step @p22 :rule cong :premises (@p21) :args (@t11)) % 16.13/16.38 (step @p23 :rule trans :premises (@p22 @p3)) % 16.13/16.38 (step @p24 :rule exists-elim :args ((= (exists @t20 @t45) @t47))) % 16.13/16.38 (step @p25 :rule refl :args (@t44)) % 16.13/16.38 (step @p26 :rule refl :args (@t15)) % 16.13/16.38 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t15 @t44))) % 16.13/16.38 (step @p28 :rule symm :premises (@p27)) % 16.13/16.38 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 16.13/16.38 (step @p30 :rule refl :args (@t12)) % 16.13/16.38 (step @p31 :rule cong :premises (@p30 @p29) :args (@t48)) % 16.13/16.38 (step @p32 :rule cong :premises (@p31) :args (@t49)) % 16.13/16.38 (step @p33 :rule cong :premises (@p32) :args (@t50)) % 16.13/16.38 (step @p34 :rule cong :premises (@p33) :args (@t51)) % 16.13/16.38 (step @p35 :rule exists-elim :args ((= (exists @t16 @t48) @t51))) % 16.13/16.38 (step @p36 :rule trans :premises (@p35 @p34)) % 16.13/16.38 (step @p37 :rule eq-symm :args (@t15 @t12)) % 16.13/16.38 (step @p38 :rule cong :premises (@p37) :args (@t17)) % 16.13/16.38 (step @p39 :rule trans :premises (@p38 @p36)) % 16.13/16.38 (step @p40 :rule cong :premises (@p39) :args (@t19)) % 16.13/16.38 (step @p41 :rule cong :premises (@p40) :args (@t21)) % 16.13/16.38 (step @p42 :rule trans :premises (@p41 @p24)) % 16.13/16.38 (step @p43 :rule cong :premises (@p42 @p23) :args (@t22)) % 16.13/16.38 (step @p44 :rule exists-elim :args ((= (exists @t34 @t57) (not (forall @t34 (not @t57)))))) % 16.13/16.38 (step @p45 :rule quant-merge-prenex :args ((= (forall @t32 @t59) @t57))) % 16.13/16.38 (step @p46 :rule refl :args (@t53)) % 16.13/16.38 (step @p47 :rule alpha_equiv :args (@t60 (@list @t54) (@list @t27))) % 16.13/16.38 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t61)) % 16.13/16.38 (step @p49 :rule quant-miniscope-or :args ((= @t59 @t61))) % 16.13/16.38 (step @p50 :rule trans :premises (@p49 @p48)) % 16.13/16.38 (step @p51 :rule symm :premises (@p50)) % 16.13/16.38 (step @p52 :rule cong :premises (@p51) :args ((forall @t32 (or @t63 @t53)))) % 16.13/16.38 (step @p53 :rule trans :premises (@p52 @p45)) % 16.13/16.38 (step @p54 :rule refl :args ((_ @t23 @t25))) % 16.13/16.38 (step @p55 :rule refl :args (@t52)) % 16.13/16.38 (step @p56 :rule cong :premises (@p55) :args (@t53)) % 16.13/16.38 (step @p57 :rule trans :premises (@p56 @p54)) % 16.13/16.38 (step @p58 :rule refl :args (@t23)) % 16.13/16.38 (step @p59 :rule ho_cong :premises (@p58 @p55)) % 16.13/16.38 (step @p60 :rule cong :premises (@p59 @p57) :args ((= (_ @t23 @t52) @t53))) % 16.13/16.38 (step @p61 :rule symm :premises (@p60)) % 16.13/16.38 (step @p62 :rule refl :args (@t26)) % 16.13/16.38 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 16.13/16.38 (step @p64 :rule refl :args (@t25)) % 16.13/16.38 (step @p65 :rule cong :premises (@p64 @p55) :args ((= @t25 @t52))) % 16.13/16.38 (step @p66 :rule symm :premises (@p65)) % 16.13/16.38 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 16.13/16.38 (step @p68 :rule ho_cong :premises (@p58 @p67)) % 16.13/16.38 (step @p69 :rule trans :premises (@p68 @p63)) % 16.13/16.38 (step @p70 :rule refl :args (@t63)) % 16.13/16.38 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t64)) % 16.13/16.38 (step @p72 :rule cong :premises (@p71) :args ((forall @t32 @t64))) % 16.13/16.38 (step @p73 :rule trans :premises (@p72 @p53)) % 16.13/16.38 (step @p74 :rule bool-double-not-elim :args (@t63)) % 16.13/16.38 (step @p75 :rule nary_cong :premises (@p74 @p62) :args ((or (not @t65) @t26))) % 16.13/16.38 (step @p76 :rule bool-impl-elim :args (@t65 @t26)) % 16.13/16.38 (step @p77 :rule trans :premises (@p76 @p75)) % 16.13/16.38 (step @p78 :rule cong :premises (@p77) :args ((forall @t32 (=> @t65 @t26)))) % 16.13/16.38 (step @p79 :rule trans :premises (@p78 @p73)) % 16.13/16.38 (step @p80 :rule refl :args (@t26)) % 16.13/16.38 (step @p81 :rule refl :args (@t62)) % 16.13/16.38 (step @p82 :rule refl :args (@t28)) % 16.13/16.38 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t28 @t62))) % 16.13/16.38 (step @p84 :rule symm :premises (@p83)) % 16.13/16.38 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 16.13/16.38 (step @p86 :rule cong :premises (@p85) :args (@t66)) % 16.13/16.38 (step @p87 :rule cong :premises (@p86) :args (@t67)) % 16.13/16.38 (step @p88 :rule cong :premises (@p87) :args (@t68)) % 16.13/16.38 (step @p89 :rule exists-elim :args ((= @t30 @t68))) % 16.13/16.38 (step @p90 :rule trans :premises (@p89 @p88)) % 16.13/16.38 (step @p91 :rule cong :premises (@p90 @p80) :args (@t31)) % 16.13/16.38 (step @p92 :rule cong :premises (@p91) :args (@t33)) % 16.13/16.38 (step @p93 :rule trans :premises (@p92 @p79)) % 16.13/16.38 (step @p94 :rule cong :premises (@p93) :args (@t35)) % 16.13/16.38 (step @p95 :rule trans :premises (@p94 @p44)) % 16.13/16.38 (step @p96 :rule cong :premises (@p95 @p43) :args (@t36)) % 16.13/16.38 (step @p97 :rule cong :premises (@p96) :args (@t37)) % 16.13/16.38 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 16.13/16.38 (step @p99 :rule not_implies_elim2 :premises (@p98)) % 16.13/16.38 (step @p100 :rule not_implies_elim2 :premises (@p99)) % 16.13/16.38 (step @p101 :rule not_not_elim :premises (@p100)) % 16.13/16.38 (step @p102 :rule refl :args (@t3)) % 16.13/16.38 (step @p103 :rule beta-reduce :args ((= @t75 @t70))) % 16.13/16.38 (step @p104 :rule beta-reduce :args ((= @t77 @t76))) % 16.13/16.38 (step @p105 :rule cong :premises (@p104 @p103) :args (@t78)) % 16.13/16.38 (step @p106 :rule cong :premises (@p105) :args (@t79)) % 16.13/16.38 (step @p107 :rule nary_cong :premises (@p106 @p102) :args (@t80)) % 16.13/16.38 (step @p108 :rule cong :premises (@p107) :args (@t81)) % 16.13/16.38 (step @p109 :rule cong :premises (@p108) :args (@t82)) % 16.13/16.38 (step @p110 :rule refl :args (@t41)) % 16.13/16.38 (step @p111 :rule cong :premises (@p110 @p109) :args ((=> @t41 @t82))) % 16.13/16.38 (assume-push @p251 @t41) % 16.13/16.38 (step @p113 :rule instantiate :premises (@p101) :args ((@list @t74))) % 16.13/16.38 (step-pop @p252 :rule scope :premises (@p113)) % 16.13/16.38 (step @p114 :rule process_scope :premises (@p252) :args (@t82)) % 16.13/16.38 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 16.13/16.38 (step @p117 :rule implies_elim :premises (@p116)) % 16.13/16.38 (step @p118 :rule chain_m_resolution :premises (@p117 @p101) :args ((not @t83) @t84 (@list @t41))) % 16.13/16.38 (step @p119 :rule skolemize :premises (@p118)) % 16.13/16.38 (step @p120 :rule bool-double-not-elim :args (@t89)) % 16.13/16.38 (step @p121 :rule refl :args (@t92)) % 16.13/16.38 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t92 (not @t91)))) % 16.13/16.38 (step @p123 :rule cnf_or_neg :args (@t92 0)) % 16.13/16.38 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 16.13/16.38 (step @p125 :rule reordering :premises (@p124) :args ((or @t89 @t92))) % 16.13/16.38 (step @p126 :rule chain_m_resolution :premises (@p125 @p119) :args (@t89 @t93 @t94)) % 16.13/16.38 (step @p127 :rule cnf_or_neg :args (@t92 1)) % 16.13/16.38 (step @p128 :rule chain_m_resolution :premises (@p127 @p119) :args (@t95 @t93 @t94)) % 16.13/16.38 ; WARNING: add trust step for TRUST % 16.13/16.38 ; trust TRUST THEORY_LEMMA % 16.13/16.38 (step @p129 :rule trust :premises () :args (@t100)) % 16.13/16.38 (step @p130 :rule refl :args (@t102)) % 16.13/16.38 (step @p131 :rule eq-symm :args (@t87 @t98)) % 16.13/16.38 (step @p132 :rule cong :premises (@p131) :args (@t103)) % 16.13/16.38 (step @p133 :rule cong :premises (@p132) :args (@t104)) % 16.13/16.38 (step @p134 :rule nary_cong :premises (@p133 @p130) :args (@t105)) % 16.13/16.38 (step @p135 :rule refl :args (@t100)) % 16.13/16.38 (step @p136 :rule cong :premises (@p135 @p134) :args ((=> @t100 @t105))) % 16.13/16.38 (assume-push @p253 @t100) % 16.13/16.38 (step @p138 :rule instantiate :premises (@p129) :args (@t106)) % 16.13/16.38 (step-pop @p254 :rule scope :premises (@p138)) % 16.13/16.38 (step @p139 :rule process_scope :premises (@p254) :args (@t105)) % 16.13/16.38 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 16.13/16.38 (step @p142 :rule implies_elim :premises (@p141)) % 16.13/16.38 (step @p143 :rule chain_m_resolution :premises (@p142 @p129) :args (@t108 @t84 @t109)) % 16.13/16.38 (step @p144 :rule not_implies_elim1 :premises (@p99)) % 16.13/16.38 (step @p145 :rule refl :args (@t111)) % 16.13/16.38 (step @p146 :rule bool-double-not-elim :args (@t46)) % 16.13/16.38 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t47) @t111))) % 16.13/16.38 (step @p148 :rule bool-double-not-elim :args (@t111)) % 16.13/16.38 (step @p149 :rule refl :args (@t47)) % 16.13/16.38 (step @p150 :rule cong :premises (@p149 @p148) :args ((=> @t47 @t112))) % 16.13/16.38 (assume-push @p255 @t47) % 16.13/16.38 (step @p152 :rule skolemize :premises (@p144)) % 16.13/16.38 (step-pop @p256 :rule scope :premises (@p152)) % 16.13/16.38 (step @p153 :rule process_scope :premises (@p256) :args (@t112)) % 16.13/16.38 (step @p155 :rule eq_resolve :premises (@p153 @p150)) % 16.13/16.38 (step @p156 :rule implies_elim :premises (@p155)) % 16.13/16.38 (step @p157 :rule eq_resolve :premises (@p156 @p147)) % 16.13/16.38 (step @p158 :rule chain_m_resolution :premises (@p157 @p144) :args (@t111 @t93 (@list @t46))) % 16.13/16.38 (step @p159 :rule eq-symm :args (@t87 @t110)) % 16.13/16.38 (step @p160 :rule cong :premises (@p159) :args (@t113)) % 16.13/16.38 (step @p161 :rule cong :premises (@p160) :args (@t114)) % 16.13/16.38 (step @p162 :rule cong :premises (@p161) :args (@t115)) % 16.13/16.38 (step @p163 :rule cong :premises (@p145 @p162) :args ((=> @t111 @t115))) % 16.13/16.38 (assume-push @p257 @t111) % 16.13/16.38 (step @p165 :rule instantiate :premises (@p158) :args (@t106)) % 16.13/16.38 (step-pop @p258 :rule scope :premises (@p165)) % 16.13/16.38 (step @p166 :rule process_scope :premises (@p258) :args (@t115)) % 16.13/16.38 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 16.13/16.38 (step @p169 :rule implies_elim :premises (@p168)) % 16.13/16.38 (step @p170 :rule chain_m_resolution :premises (@p169 @p158) :args ((not @t116) @t84 @t117)) % 16.13/16.38 (step @p171 :rule alpha_equiv :args (@t107 @t118 @t119)) % 16.13/16.38 (step @p172 :rule equiv_elim1 :premises (@p171)) % 16.13/16.38 (step @p173 :rule chain_m_resolution :premises (@p172 @p170) :args ((not @t107) @t93 (@list @t116))) % 16.13/16.38 (step @p174 :rule cnf_or_pos :args (@t108)) % 16.13/16.38 (step @p175 :rule reordering :premises (@p174) :args ((or @t102 @t107 (not @t108)))) % 16.13/16.38 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p143) :args (@t102 @t120 @t121)) % 16.13/16.38 (step @p177 :rule refl :args (@t123)) % 16.13/16.38 (step @p178 :rule eq-symm :args (@t85 @t98)) % 16.13/16.38 (step @p179 :rule cong :premises (@p178) :args (@t124)) % 16.13/16.38 (step @p180 :rule cong :premises (@p179) :args (@t125)) % 16.13/16.38 (step @p181 :rule nary_cong :premises (@p180 @p177) :args (@t126)) % 16.13/16.38 (step @p182 :rule cong :premises (@p135 @p181) :args ((=> @t100 @t126))) % 16.13/16.38 (assume-push @p259 @t100) % 16.13/16.38 (step @p184 :rule instantiate :premises (@p129) :args (@t127)) % 16.13/16.38 (step-pop @p260 :rule scope :premises (@p184)) % 16.13/16.38 (step @p185 :rule process_scope :premises (@p260) :args (@t126)) % 16.13/16.38 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 16.13/16.38 (step @p188 :rule implies_elim :premises (@p187)) % 16.13/16.38 (step @p189 :rule chain_m_resolution :premises (@p188 @p129) :args (@t129 @t84 @t109)) % 16.13/16.38 (step @p190 :rule eq-symm :args (@t85 @t110)) % 16.13/16.38 (step @p191 :rule cong :premises (@p190) :args (@t130)) % 16.13/16.38 (step @p192 :rule cong :premises (@p191) :args (@t131)) % 16.13/16.38 (step @p193 :rule cong :premises (@p192) :args (@t132)) % 16.13/16.38 (step @p194 :rule cong :premises (@p145 @p193) :args ((=> @t111 @t132))) % 16.13/16.38 (assume-push @p261 @t111) % 16.13/16.38 (step @p196 :rule instantiate :premises (@p158) :args (@t127)) % 16.13/16.38 (step-pop @p262 :rule scope :premises (@p196)) % 16.13/16.38 (step @p197 :rule process_scope :premises (@p262) :args (@t132)) % 16.13/16.38 (step @p199 :rule eq_resolve :premises (@p197 @p194)) % 16.13/16.38 (step @p200 :rule implies_elim :premises (@p199)) % 16.13/16.38 (step @p201 :rule chain_m_resolution :premises (@p200 @p158) :args ((not @t133) @t84 @t117)) % 16.13/16.38 (step @p202 :rule alpha_equiv :args (@t128 @t118 @t119)) % 16.13/16.38 (step @p203 :rule equiv_elim1 :premises (@p202)) % 16.13/16.38 (step @p204 :rule chain_m_resolution :premises (@p203 @p201) :args ((not @t128) @t93 (@list @t133))) % 16.13/16.38 (step @p205 :rule cnf_or_pos :args (@t129)) % 16.13/16.38 (step @p206 :rule reordering :premises (@p205) :args ((or @t123 @t128 (not @t129)))) % 16.13/16.38 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p189) :args (@t123 @t120 (@list @t128 @t129))) % 16.13/16.38 (step @p208 :rule refl :args (@t134)) % 16.13/16.38 (step @p209 :rule refl :args (@t135)) % 16.13/16.38 (step @p210 :rule bool-double-not-elim :args (@t90)) % 16.13/16.38 (step @p211 :rule refl :args (@t91)) % 16.13/16.38 (step @p212 :rule nary_cong :premises (@p211 @p210 @p209 @p208) :args ((or @t91 (not @t95) @t135 @t134))) % 16.13/16.38 (assume-push @p263 @t102) % 16.13/16.38 (assume-push @p264 @t136) % 16.13/16.38 (assume-push @p265 @t123) % 16.13/16.38 (assume-push @p266 @t95) % 16.13/16.38 (step @p217 :rule evaluate :args ((= false true))) % 16.13/16.38 (step @p218 :rule cong :premises (@p126) :args (@t101)) % 16.13/16.38 (step @p219 :rule chain_m_resolution :premises (@p175 @p173 @p143) :args (@t102 @t120 @t121)) % 16.13/16.38 (step @p220 :rule trans :premises (@p219 @p218)) % 16.13/16.38 (step @p221 :rule symm :premises (@p220)) % 16.13/16.38 (step @p222 :rule trans :premises (@p207 @p221 @p176)) % 16.13/16.38 (step @p223 :rule symm :premises (@p222)) % 16.13/16.38 (step @p224 :rule trans :premises (@p176 @p223)) % 16.13/16.38 (step @p225 :rule true_intro :premises (@p224)) % 16.13/16.38 (step @p226 :rule false_intro :premises (@p128)) % 16.13/16.38 (step @p227 :rule symm :premises (@p226)) % 16.13/16.38 (step @p228 :rule trans :premises (@p227 @p225)) % 16.13/16.38 (step @p229 false :rule eq_resolve :premises (@p228 @p217)) % 16.13/16.38 (step-pop @p267 :rule scope :premises (@p229)) % 16.13/16.38 (step-pop @p268 :rule scope :premises (@p267)) % 16.13/16.38 (step-pop @p269 :rule scope :premises (@p268)) % 16.13/16.38 (step-pop @p270 :rule scope :premises (@p269)) % 16.13/16.38 (step @p230 :rule process_scope :premises (@p270) :args (false)) % 16.13/16.38 (assume-push @p271 @t89) % 16.13/16.38 (assume-push @p272 @t95) % 16.13/16.38 (assume-push @p273 @t102) % 16.13/16.38 (assume-push @p274 @t123) % 16.13/16.38 (step @p218 :rule cong :premises (@p126) :args (@t101)) % 16.13/16.38 (step @p239 :rule trans :premises (@p176 @p218)) % 16.13/16.38 (step @p240 :rule and_intro :premises (@p176 @p239 @p207 @p128)) % 16.13/16.38 (step-pop @p275 :rule scope :premises (@p240)) % 16.13/16.38 (step-pop @p276 :rule scope :premises (@p275)) % 16.13/16.38 (step-pop @p277 :rule scope :premises (@p276)) % 16.13/16.38 (step-pop @p278 :rule scope :premises (@p277)) % 16.13/16.38 (step @p241 :rule process_scope :premises (@p278) :args (@t137)) % 16.13/16.38 (step @p246 :rule implies_elim :premises (@p241)) % 16.13/16.38 (step @p247 :rule resolution :premises (@p246 @p230) :args (true @t137)) % 16.13/16.38 (step @p248 :rule not_and :premises (@p247)) % 16.13/16.38 (step @p249 :rule eq_resolve :premises (@p248 @p212)) % 16.13/16.38 (step @p250 false :rule chain_m_resolution :premises (@p249 @p207 @p176 @p128 @p126) :args (false (@list false false true false) (@list @t123 @t102 @t90 @t89))) % 16.13/16.38 ) % 16.13/16.38 % SZS output end Proof % 16.13/16.38 % cvc5 exiting %------------------------------------------------------------------------------