%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM705^1 : TPTP v9.2.1. Released v3.7.0. % 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 08:40:26 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM705^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.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 11:59:56 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort tptp.nat 0) % 0.37/0.60 (declare-const tptp.lessis (-> tptp.nat tptp.nat Bool)) % 0.37/0.60 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.37/0.60 (declare-const tptp.some (-> (-> tptp.nat Bool) Bool)) % 0.37/0.60 (declare-const tptp.p (-> tptp.nat Bool)) % 0.37/0.60 (define @t1 () (_ tptp.some tptp.p)) % 0.37/0.60 (define @t2 () (@var "Xx" tptp.nat)) % 0.37/0.60 (define @t3 () (@var "Xy" tptp.nat)) % 0.37/0.60 (define @t4 () (_ (_ tptp.more @t3) @t2)) % 0.37/0.60 (define @t5 () (not @t4)) % 0.37/0.60 (define @t6 () (=> @t5 (= @t3 @t2))) % 0.37/0.60 (define @t7 () (_ tptp.lessis @t2)) % 0.37/0.60 (define @t8 () (_ @t7 @t3)) % 0.37/0.60 (define @t9 () (=> @t8 @t6)) % 0.37/0.60 (define @t10 () (@list @t2 @t3)) % 0.37/0.60 (define @t11 () (forall @t10 @t9)) % 0.37/0.60 (define @t12 () (@var "Xa" Bool)) % 0.37/0.60 (define @t13 () (_ (_ tptp.more @t2) @t3)) % 0.37/0.60 (define @t14 () (not @t13)) % 0.37/0.60 (define @t15 () (forall @t10 (=> @t8 @t14))) % 0.37/0.60 (define @t16 () (@var "Xp" (-> tptp.nat Bool))) % 0.37/0.60 (define @t17 () (_ @t16 @t2)) % 0.37/0.60 (define @t18 () (not @t17)) % 0.37/0.60 (define @t19 () (@var "Xx_0" tptp.nat)) % 0.37/0.60 (define @t20 () (_ @t7 @t19)) % 0.37/0.60 (define @t21 () (_ @t16 @t19)) % 0.37/0.60 (define @t22 () (@list @t19)) % 0.37/0.60 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.37/0.60 (define @t24 () (=> @t23 @t18)) % 0.37/0.60 (define @t25 () (not @t24)) % 0.37/0.60 (define @t26 () (@list @t2)) % 0.37/0.60 (define @t27 () (lambda @t26 @t25)) % 0.37/0.60 (define @t28 () (_ tptp.some @t16)) % 0.37/0.60 (define @t29 () (=> @t28 (_ tptp.some @t27))) % 0.37/0.60 (define @t30 () (@list @t16)) % 0.37/0.60 (define @t31 () (forall @t30 @t29)) % 0.37/0.60 (define @t32 () (_ tptp.p @t2)) % 0.37/0.60 (define @t33 () (not @t32)) % 0.37/0.60 (define @t34 () (_ tptp.p @t19)) % 0.37/0.60 (define @t35 () (forall @t22 (=> @t34 @t20))) % 0.37/0.60 (define @t36 () (=> @t35 @t33)) % 0.37/0.60 (define @t37 () (not @t36)) % 0.37/0.60 (define @t38 () (lambda @t26 @t37)) % 0.37/0.60 (define @t39 () (not (_ tptp.some @t38))) % 0.37/0.60 (define @t40 () (= @t2 @t3)) % 0.37/0.60 (define @t41 () (_ tptp.p @t3)) % 0.37/0.60 (define @t42 () (not @t41)) % 0.37/0.60 (define @t43 () (_ (_ tptp.lessis @t3) @t19)) % 0.37/0.60 (define @t44 () (forall @t22 (=> @t34 @t43))) % 0.37/0.60 (define @t45 () (=> @t44 @t42)) % 0.37/0.60 (define @t46 () (not @t45)) % 0.37/0.60 (define @t47 () (=> @t46 @t40)) % 0.37/0.60 (define @t48 () (=> @t37 @t47)) % 0.37/0.60 (define @t49 () (forall @t10 @t48)) % 0.37/0.60 (define @t50 () (=> @t49 @t39)) % 0.37/0.60 (define @t51 () (tptp.p @t2)) % 0.37/0.60 (define @t52 () (not @t51)) % 0.37/0.60 (define @t53 () (tptp.lessis @t2 @t19)) % 0.37/0.60 (define @t54 () (tptp.p @t19)) % 0.37/0.60 (define @t55 () (not @t54)) % 0.37/0.60 (define @t56 () (forall @t22 (or @t55 @t53))) % 0.37/0.60 (define @t57 () (not (=> @t56 @t52))) % 0.37/0.60 (define @t58 () (lambda @t26 @t57)) % 0.37/0.60 (define @t59 () (@purify @t58)) % 0.37/0.60 (define @t60 () (_ @t59 @t2)) % 0.37/0.60 (define @t61 () (= @t57 @t60)) % 0.37/0.60 (define @t62 () (_ @t58 @t2)) % 0.37/0.60 (define @t63 () (= @t60 @t62)) % 0.37/0.60 (define @t64 () (forall @t26 @t63)) % 0.37/0.60 (define @t65 () (@const 0 tptp.nat)) % 0.37/0.60 (define @t66 () (and (forall @t22 (or @t55 (tptp.lessis @t65 @t19))) (tptp.p @t65))) % 0.37/0.60 (define @t67 () (_ @t59 @t65)) % 0.37/0.60 (define @t68 () (forall @t26 (= (and @t56 @t51) @t60))) % 0.37/0.60 (define @t69 () (= @t66 @t67)) % 0.37/0.60 (define @t70 () (@list @t65)) % 0.37/0.60 (define @t71 () (= @t67 @t66)) % 0.37/0.60 (define @t72 () (@list false)) % 0.37/0.60 (define @t73 () (not @t21)) % 0.37/0.60 (define @t74 () (or @t73 @t20)) % 0.37/0.60 (define @t75 () (forall @t22 @t74)) % 0.37/0.60 (define @t76 () (lambda @t26 (not (=> @t75 @t18)))) % 0.37/0.60 (define @t77 () (_ @t16 @t2)) % 0.37/0.60 (define @t78 () (not @t77)) % 0.37/0.60 (define @t79 () (_ @t16 @t19)) % 0.37/0.60 (define @t80 () (not @t79)) % 0.37/0.60 (define @t81 () (or @t80 @t53)) % 0.37/0.60 (define @t82 () (forall @t22 @t81)) % 0.37/0.60 (define @t83 () (=> @t82 @t78)) % 0.37/0.60 (define @t84 () (not @t83)) % 0.37/0.60 (define @t85 () (lambda @t26 @t84)) % 0.37/0.60 (define @t86 () (tptp.some @t85)) % 0.37/0.60 (define @t87 () (=> @t82 @t18)) % 0.37/0.60 (define @t88 () (not @t87)) % 0.37/0.60 (define @t89 () (lambda @t26 @t88)) % 0.37/0.60 (define @t90 () (tptp.some @t16)) % 0.37/0.60 (define @t91 () (not @t28)) % 0.37/0.60 (define @t92 () (_ tptp.some @t89)) % 0.37/0.60 (define @t93 () (or @t91 @t92)) % 0.37/0.60 (define @t94 () (tptp.some @t58)) % 0.37/0.60 (define @t95 () (tptp.some tptp.p)) % 0.37/0.60 (define @t96 () (not @t95)) % 0.37/0.60 (define @t97 () (or @t96 @t94)) % 0.37/0.60 (define @t98 () (forall @t30 (or (not @t90) @t86))) % 0.37/0.60 (define @t99 () (tptp.some @t59)) % 0.37/0.60 (define @t100 () (or @t96 @t99)) % 0.37/0.60 (define @t101 () (@list false false)) % 0.37/0.60 (define @t102 () (tptp.p @t3)) % 0.37/0.60 (define @t103 () (tptp.lessis @t3 @t19)) % 0.37/0.60 (define @t104 () (forall @t22 (or @t55 @t103))) % 0.37/0.60 (define @t105 () (not @t104)) % 0.37/0.60 (define @t106 () (not @t56)) % 0.37/0.60 (define @t107 () (forall @t10 (or @t106 @t52 @t105 (not @t102) @t40))) % 0.37/0.60 (define @t108 () (@quantifiers_skolemize @t107 0)) % 0.37/0.60 (define @t109 () (forall @t22 (or @t55 (tptp.lessis @t108 @t19)))) % 0.37/0.60 (define @t110 () (@quantifiers_skolemize @t107 1)) % 0.37/0.60 (define @t111 () (= @t108 @t110)) % 0.37/0.60 (define @t112 () (tptp.p @t110)) % 0.37/0.60 (define @t113 () (not @t112)) % 0.37/0.60 (define @t114 () (forall @t22 (or @t55 (tptp.lessis @t110 @t19)))) % 0.37/0.60 (define @t115 () (not @t114)) % 0.37/0.60 (define @t116 () (tptp.p @t108)) % 0.37/0.60 (define @t117 () (not @t116)) % 0.37/0.60 (define @t118 () (not @t109)) % 0.37/0.60 (define @t119 () (or @t118 @t117 @t115 @t113 @t111)) % 0.37/0.60 (define @t120 () (tptp.lessis @t108 @t110)) % 0.37/0.60 (define @t121 () (or @t113 @t120)) % 0.37/0.60 (define @t122 () (tptp.lessis @t110 @t108)) % 0.37/0.60 (define @t123 () (or @t117 @t122)) % 0.37/0.60 (define @t124 () (tptp.more @t2 @t3)) % 0.37/0.60 (define @t125 () (tptp.lessis @t2 @t3)) % 0.37/0.60 (define @t126 () (not @t8)) % 0.37/0.60 (define @t127 () (or @t126 @t14)) % 0.37/0.60 (define @t128 () (tptp.more @t108 @t110)) % 0.37/0.60 (define @t129 () (not @t128)) % 0.37/0.60 (define @t130 () (not @t120)) % 0.37/0.60 (define @t131 () (or @t130 @t129)) % 0.37/0.60 (define @t132 () (tptp.more @t3 @t2)) % 0.37/0.60 (define @t133 () (or @t126 @t4 @t40)) % 0.37/0.60 (define @t134 () (=> @t5 @t40)) % 0.37/0.60 (define @t135 () (not @t122)) % 0.37/0.60 (define @t136 () (or @t135 @t128 (= @t110 @t108))) % 0.37/0.60 (define @t137 () (forall @t10 (or (not @t125) @t132 @t40))) % 0.37/0.60 (define @t138 () (or @t135 @t128 @t111)) % 0.37/0.60 (define @t139 () (not @t119)) % 0.37/0.60 (define @t140 () (not @t107)) % 0.37/0.60 (define @t141 () (=> @t56 @t33)) % 0.37/0.60 (define @t142 () (not @t141)) % 0.37/0.60 (define @t143 () (lambda @t26 @t142)) % 0.37/0.60 (define @t144 () (@purify @t143)) % 0.37/0.60 (define @t145 () (tptp.some @t144)) % 0.37/0.60 (define @t146 () (_ tptp.some @t144)) % 0.37/0.60 (define @t147 () (not (_ tptp.some @t143))) % 0.37/0.60 (define @t148 () (not @t34)) % 0.37/0.60 (define @t149 () (or @t148 @t20)) % 0.37/0.60 (define @t150 () (or @t106 @t33 @t105 @t42 @t40)) % 0.37/0.60 (define @t151 () (or @t105 @t42 @t40)) % 0.37/0.60 (define @t152 () (=> @t104 @t42)) % 0.37/0.60 (define @t153 () (not @t152)) % 0.37/0.60 (define @t154 () (=> @t153 @t40)) % 0.37/0.60 (define @t155 () (or @t148 @t43)) % 0.37/0.60 (define @t156 () (not @t145)) % 0.37/0.60 (define @t157 () (= @t144 @t59)) % 0.37/0.60 (define @t158 () (not @t157)) % 0.37/0.60 (define @t159 () (not @t99)) % 0.37/0.60 (define @t160 () (and @t156 @t157 @t99)) % 0.37/0.60 (define @t161 () (@list true false)) % 0.37/0.60 (define @t162 () (_ @t144 @t65)) % 0.37/0.60 (define @t163 () (= @t162 @t67)) % 0.37/0.60 (define @t164 () (not @t163)) % 0.37/0.60 (define @t165 () (and @t56 @t32)) % 0.37/0.60 (define @t166 () (_ @t144 @t2)) % 0.37/0.60 (define @t167 () (= @t166 @t165)) % 0.37/0.60 (define @t168 () (= @t142 @t166)) % 0.37/0.60 (define @t169 () (_ @t143 @t2)) % 0.37/0.60 (define @t170 () (= @t166 @t169)) % 0.37/0.60 (define @t171 () (forall @t26 @t170)) % 0.37/0.60 (define @t172 () (= @t162 @t66)) % 0.37/0.60 (define @t173 () (not @t172)) % 0.37/0.60 (define @t174 () (not @t66)) % 0.37/0.60 (define @t175 () (not @t71)) % 0.37/0.60 (define @t176 () (not @t67)) % 0.37/0.60 (assume @p1 @t1) % 0.37/0.60 (assume @p2 @t11) % 0.37/0.60 (assume @p3 (forall (@list @t12) (=> (not (not @t12)) @t12))) % 0.37/0.60 (assume @p4 @t15) % 0.37/0.60 (assume @p5 @t31) % 0.37/0.60 (assume @p6 (not (not @t50))) % 0.37/0.60 (assume @p7 true) % 0.37/0.60 (step @p8 :rule refl :args (@t60)) % 0.37/0.60 (step @p9 :rule bool-double-not-elim :args (@t51)) % 0.37/0.60 (step @p10 :rule refl :args (@t56)) % 0.37/0.60 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((and @t56 (not @t52)))) % 0.37/0.60 (step @p12 :rule bool-implies-de-morgan :args (@t56 @t52)) % 0.37/0.60 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.60 (step @p14 :rule cong :premises (@p13 @p8) :args (@t61)) % 0.37/0.60 (step @p15 :rule cong :premises (@p14) :args ((forall @t26 @t61))) % 0.37/0.60 (step @p16 :rule eq-symm :args (@t60 @t57)) % 0.37/0.60 (step @p17 :rule beta-reduce :args ((= @t62 @t57))) % 0.37/0.60 (step @p18 :rule refl :args (@t60)) % 0.37/0.60 (step @p19 :rule cong :premises (@p18 @p17) :args (@t63)) % 0.37/0.60 (step @p20 :rule trans :premises (@p19 @p16)) % 0.37/0.60 (step @p21 :rule cong :premises (@p20) :args (@t64)) % 0.37/0.60 (step @p22 :rule trans :premises (@p21 @p15)) % 0.37/0.60 (step @p23 :rule quant-unused-vars :args ((= (forall @t26 true) true))) % 0.37/0.60 (step @p24 :rule eq-refl :args (@t62)) % 0.37/0.60 (step @p25 :rule cong :premises (@p24) :args ((forall @t26 (= @t62 @t62)))) % 0.37/0.60 (step @p26 :rule trans :premises (@p25 @p23)) % 0.37/0.60 (step @p27 :rule refl :args (@t62)) % 0.37/0.60 (step @p28 :rule refl :args (@t2)) % 0.37/0.60 (step @p29 :rule skolem_intro :args (@t59)) % 0.37/0.60 (step @p30 :rule ho_cong :premises (@p29 @p28)) % 0.37/0.60 (step @p31 :rule cong :premises (@p30 @p27) :args (@t63)) % 0.37/0.60 (step @p32 :rule cong :premises (@p31) :args (@t64)) % 0.37/0.60 (step @p33 :rule trans :premises (@p32 @p26)) % 0.37/0.60 (step @p34 :rule true_elim :premises (@p33)) % 0.37/0.60 (step @p35 :rule eq_resolve :premises (@p34 @p22)) % 0.37/0.60 (step @p36 :rule eq-symm :args (@t66 @t67)) % 0.37/0.60 (step @p37 :rule refl :args (@t68)) % 0.37/0.60 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t68 @t69))) % 0.37/0.60 (assume-push @p426 @t68) % 0.37/0.60 (step @p40 :rule instantiate :premises (@p35) :args (@t70)) % 0.37/0.60 (step-pop @p427 :rule scope :premises (@p40)) % 0.37/0.60 (step @p41 :rule process_scope :premises (@p427) :args (@t69)) % 0.37/0.60 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.37/0.60 (step @p44 :rule implies_elim :premises (@p43)) % 0.37/0.60 (step @p45 :rule chain_m_resolution :premises (@p44 @p35) :args (@t71 @t72 (@list @t68))) % 0.37/0.60 (step @p46 :rule refl :args ((tptp.some @t76))) % 0.37/0.60 (step @p47 :rule refl :args (@t77)) % 0.37/0.60 (step @p48 :rule cong :premises (@p47) :args (@t78)) % 0.37/0.60 (step @p49 :rule refl :args (@t53)) % 0.37/0.60 (step @p50 :rule refl :args (@t79)) % 0.37/0.60 (step @p51 :rule cong :premises (@p50) :args (@t80)) % 0.37/0.60 (step @p52 :rule nary_cong :premises (@p51 @p49) :args (@t81)) % 0.37/0.60 (step @p53 :rule cong :premises (@p52) :args (@t82)) % 0.37/0.60 (step @p54 :rule cong :premises (@p53 @p48) :args (@t83)) % 0.37/0.60 (step @p55 :rule cong :premises (@p54) :args (@t84)) % 0.37/0.60 (step @p56 :rule cong :premises (@p55) :args (@t85)) % 0.37/0.60 (step @p57 :rule cong :premises (@p56) :args (@t86)) % 0.37/0.60 (step @p58 :rule trans :premises (@p57 @p46)) % 0.37/0.60 (step @p59 :rule refl :args (tptp.some)) % 0.37/0.60 (step @p60 :rule ho_cong :premises (@p59 @p56)) % 0.37/0.60 (step @p61 :rule cong :premises (@p60 @p58) :args ((= (_ tptp.some @t85) @t86))) % 0.37/0.60 (step @p62 :rule symm :premises (@p61)) % 0.37/0.60 (step @p63 :rule refl :args ((_ tptp.some @t76))) % 0.37/0.60 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.37/0.60 (step @p65 :rule refl :args (@t17)) % 0.37/0.60 (step @p66 :rule cong :premises (@p65 @p47) :args ((= @t17 @t77))) % 0.37/0.60 (step @p67 :rule symm :premises (@p66)) % 0.37/0.60 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.37/0.60 (step @p69 :rule cong :premises (@p68) :args (@t18)) % 0.37/0.60 (step @p70 :rule refl :args (@t82)) % 0.37/0.60 (step @p71 :rule cong :premises (@p70 @p69) :args (@t87)) % 0.37/0.60 (step @p72 :rule cong :premises (@p71) :args (@t88)) % 0.37/0.60 (step @p73 :rule cong :premises (@p72) :args (@t89)) % 0.37/0.60 (step @p74 :rule ho_cong :premises (@p59 @p73)) % 0.37/0.60 (step @p75 :rule trans :premises (@p74 @p64)) % 0.37/0.60 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implies_elim :premises (@p341)) % 0.37/0.60 (step @p343 :rule reordering :premises (@p342) :args ((or @t156 @t140))) % 0.37/0.60 (step @p344 :rule chain_m_resolution :premises (@p343 @p248) :args (@t156 @t72 (@list @t107))) % 0.37/0.60 (step @p345 :rule refl :args (@t158)) % 0.37/0.60 (step @p346 :rule refl :args (@t159)) % 0.37/0.60 (step @p347 :rule bool-double-not-elim :args (@t145)) % 0.37/0.60 (step @p348 :rule nary_cong :premises (@p347 @p346 @p345) :args ((or (not @t156) @t159 @t158))) % 0.37/0.60 (assume-push @p438 @t156) % 0.37/0.60 (assume-push @p439 @t157) % 0.37/0.60 (assume-push @p440 @t99) % 0.37/0.60 (step @p352 :rule evaluate :args ((= true false))) % 0.37/0.60 (step @p353 :rule false_intro :premises (@p438)) % 0.37/0.60 (step @p354 :rule symm :premises (@p439)) % 0.37/0.60 (step @p355 :rule cong :premises (@p354) :args (@t99)) % 0.37/0.60 (step @p356 :rule true_intro :premises (@p137)) % 0.37/0.60 (step @p357 :rule symm :premises (@p356)) % 0.37/0.60 (step @p358 :rule trans :premises (@p357 @p355 @p353)) % 0.37/0.60 (step @p359 false :rule eq_resolve :premises (@p358 @p352)) % 0.37/0.60 (step-pop @p441 :rule scope :premises (@p359)) % 0.37/0.60 (step-pop @p442 :rule scope :premises (@p441)) % 0.37/0.60 (step-pop @p443 :rule scope :premises (@p442)) % 0.37/0.60 (step @p360 :rule process_scope :premises (@p443) :args (false)) % 0.37/0.60 (assume-push @p444 @t156) % 0.37/0.60 (assume-push @p445 @t99) % 0.37/0.60 (assume-push @p446 @t157) % 0.37/0.60 (step @p367 :rule and_intro :premises (@p444 @p446 @p137)) % 0.37/0.60 (step-pop @p447 :rule scope :premises (@p367)) % 0.37/0.60 (step-pop @p448 :rule scope :premises (@p447)) % 0.37/0.60 (step-pop @p449 :rule scope :premises (@p448)) % 0.37/0.60 (step @p368 :rule process_scope :premises (@p449) :args (@t160)) % 0.37/0.60 (step @p372 :rule implies_elim :premises (@p368)) % 0.37/0.60 (step @p373 :rule resolution :premises (@p372 @p360) :args (true @t160)) % 0.37/0.60 (step @p374 :rule not_and :premises (@p373)) % 0.37/0.60 (step @p375 :rule eq_resolve :premises (@p374 @p348)) % 0.37/0.60 (step @p376 :rule chain_m_resolution :premises (@p375 @p344 @p137) :args (@t158 @t161 (@list @t145 @t99))) % 0.37/0.60 ; WARNING: add trust step for TRUST % 0.37/0.60 ; trust TRUST THEORY_LEMMA % 0.37/0.60 (step @p377 :rule trust :premises () :args ((or @t157 @t164))) % 0.37/0.60 (step @p378 :rule chain_m_resolution :premises (@p377 @p376) :args (@t164 (@list true) (@list @t157))) % 0.37/0.60 (step @p379 :rule cnf_equiv_neg1 :args (@t163)) % 0.37/0.60 (step @p380 :rule reordering :premises (@p379) :args ((or @t162 @t67 @t163))) % 0.37/0.60 (step @p381 :rule nary_cong :premises (@p10 @p293) :args (@t165)) % 0.37/0.60 (step @p382 :rule refl :args (@t166)) % 0.37/0.60 (step @p383 :rule cong :premises (@p382 @p381) :args (@t167)) % 0.37/0.60 (step @p384 :rule cong :premises (@p383) :args ((forall @t26 @t167))) % 0.37/0.60 (step @p385 :rule eq-symm :args (@t165 @t166)) % 0.37/0.60 (step @p386 :rule cong :premises (@p385) :args ((forall @t26 (= @t165 @t166)))) % 0.37/0.60 (step @p387 :rule trans :premises (@p386 @p384)) % 0.37/0.60 (step @p388 :rule bool-double-not-elim :args (@t32)) % 0.37/0.60 (step @p389 :rule nary_cong :premises (@p10 @p388) :args ((and @t56 (not @t33)))) % 0.37/0.60 (step @p390 :rule bool-implies-de-morgan :args (@t56 @t33)) % 0.37/0.60 (step @p391 :rule trans :premises (@p390 @p389)) % 0.37/0.60 (step @p392 :rule cong :premises (@p391 @p382) :args (@t168)) % 0.37/0.60 (step @p393 :rule cong :premises (@p392) :args ((forall @t26 @t168))) % 0.37/0.60 (step @p394 :rule trans :premises (@p393 @p387)) % 0.37/0.60 (step @p395 :rule eq-symm :args (@t166 @t142)) % 0.37/0.60 (step @p396 :rule beta-reduce :args ((= @t169 @t142))) % 0.37/0.60 (step @p397 :rule refl :args (@t166)) % 0.37/0.60 (step @p398 :rule cong :premises (@p397 @p396) :args (@t170)) % 0.37/0.60 (step @p399 :rule trans :premises (@p398 @p395)) % 0.37/0.60 (step @p400 :rule cong :premises (@p399) :args (@t171)) % 0.37/0.60 (step @p401 :rule trans :premises (@p400 @p394)) % 0.37/0.60 (step @p402 :rule eq-refl :args (@t169)) % 0.37/0.60 (step @p403 :rule cong :premises (@p402) :args ((forall @t26 (= @t169 @t169)))) % 0.37/0.60 (step @p404 :rule trans :premises (@p403 @p23)) % 0.37/0.60 (step @p405 :rule refl :args (@t169)) % 0.37/0.60 (step @p406 :rule ho_cong :premises (@p255 @p28)) % 0.37/0.60 (step @p407 :rule cong :premises (@p406 @p405) :args (@t170)) % 0.37/0.60 (step @p408 :rule cong :premises (@p407) :args (@t171)) % 0.37/0.60 (step @p409 :rule trans :premises (@p408 @p404)) % 0.37/0.60 (step @p410 :rule true_elim :premises (@p409)) % 0.37/0.60 (step @p411 :rule eq_resolve :premises (@p410 @p401)) % 0.37/0.60 (step @p412 :rule instantiate :premises (@p411) :args (@t70)) % 0.37/0.60 (step @p413 :rule cnf_equiv_pos2 :args (@t172)) % 0.37/0.60 (step @p414 :rule reordering :premises (@p413) :args ((or @t162 @t174 @t173))) % 0.37/0.60 (step @p415 :rule cnf_equiv_pos1 :args (@t71)) % 0.37/0.60 (step @p416 :rule reordering :premises (@p415) :args ((or @t176 @t66 @t175))) % 0.37/0.60 (step @p417 :rule chain_m_resolution :premises (@p416 @p45 @p414 @p412 @p380 @p378) :args (@t162 (@list false true false false true) (@list @t71 @t66 @t172 @t67 @t163))) % 0.37/0.60 (step @p418 :rule cnf_equiv_neg2 :args (@t163)) % 0.37/0.60 (step @p419 :rule chain_m_resolution :premises (@p418 @p378 @p417) :args (@t176 @t161 (@list @t163 @t162))) % 0.37/0.60 (step @p420 :rule cnf_equiv_pos1 :args (@t172)) % 0.37/0.60 (step @p421 :rule reordering :premises (@p420) :args ((or (not @t162) @t66 @t173))) % 0.37/0.60 (step @p422 :rule chain_m_resolution :premises (@p421 @p417 @p412) :args (@t66 @t101 (@list @t162 @t172))) % 0.37/0.60 (step @p423 :rule cnf_equiv_pos2 :args (@t71)) % 0.37/0.60 (step @p424 :rule reordering :premises (@p423) :args ((or @t67 @t174 @t175))) % 0.37/0.60 (step @p425 false :rule chain_m_resolution :premises (@p424 @p422 @p419 @p45) :args (false (@list false true false) (@list @t66 @t67 @t71))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------