%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT060+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:54 AM UTC 2026 % Result : Theorem 0.29s 0.56s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT060+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.38 % Computer : n006.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Mon Sep 7 13:34:31 UTC 2026 % 0.11/0.39 % CPUTime : % 0.21/0.46 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.56 % SZS status Theorem % 0.29/0.56 % SZS output start Proof % 0.29/0.56 ( % 0.29/0.56 (declare-sort $$unsorted 0) % 0.29/0.56 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.high $$unsorted) % 0.29/0.56 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.56 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.positional_advantage (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.is_aligned (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.mod2 $$unsorted) % 0.29/0.56 (declare-const tptp.mod1 $$unsorted) % 0.29/0.56 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.low $$unsorted) % 0.29/0.56 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.29/0.56 (declare-const tptp.very_low $$unsorted) % 0.29/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.29/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.29/0.56 (define @t3 () (= @t2 @t1)) % 0.29/0.56 (define @t4 () (tptp.smaller @t2 @t1)) % 0.29/0.56 (define @t5 () (@list @t2 @t1)) % 0.29/0.56 (define @t6 () (tptp.greater @t2 @t1)) % 0.29/0.56 (define @t7 () (tptp.greater @t1 @t2)) % 0.29/0.56 (define @t8 () (forall @t5 (= @t4 @t7))) % 0.29/0.56 (define @t9 () (@var "Z" $$unsorted)) % 0.29/0.56 (define @t10 () (tptp.greater @t2 @t9)) % 0.29/0.56 (define @t11 () (tptp.greater @t1 @t9)) % 0.29/0.56 (define @t12 () (and @t6 @t11)) % 0.29/0.56 (define @t13 () (forall (@list @t2 @t1 @t9) (=> @t12 @t10))) % 0.29/0.56 (define @t14 () (@var "T" $$unsorted)) % 0.29/0.56 (define @t15 () (tptp.hazard_of_mortality @t2 @t14)) % 0.29/0.56 (define @t16 () (tptp.positional_advantage @t2 @t14)) % 0.29/0.56 (define @t17 () (not @t16)) % 0.29/0.56 (define @t18 () (tptp.is_aligned @t2 @t14)) % 0.29/0.56 (define @t19 () (not @t18)) % 0.29/0.56 (define @t20 () (and @t19 @t17)) % 0.29/0.56 (define @t21 () (=> @t20 (= @t15 tptp.high))) % 0.29/0.56 (define @t22 () (and @t18 @t17)) % 0.29/0.56 (define @t23 () (=> @t22 (= @t15 tptp.mod2))) % 0.29/0.56 (define @t24 () (and @t19 @t16)) % 0.29/0.56 (define @t25 () (=> @t24 (= @t15 tptp.mod1))) % 0.29/0.56 (define @t26 () (and @t18 @t16)) % 0.29/0.56 (define @t27 () (=> @t26 (= @t15 tptp.low))) % 0.29/0.56 (define @t28 () (and @t27 @t25 @t23 @t21)) % 0.29/0.56 (define @t29 () (tptp.has_immunity @t2 @t14)) % 0.29/0.56 (define @t30 () (not @t29)) % 0.29/0.56 (define @t31 () (=> @t30 @t28)) % 0.29/0.56 (define @t32 () (=> @t29 (= @t15 tptp.very_low))) % 0.29/0.56 (define @t33 () (and @t32 @t31)) % 0.29/0.56 (define @t34 () (tptp.organization @t2)) % 0.29/0.56 (define @t35 () (=> @t34 @t33)) % 0.29/0.56 (define @t36 () (@list @t2 @t14)) % 0.29/0.56 (define @t37 () (forall @t36 @t35)) % 0.29/0.56 (define @t38 () (tptp.greater tptp.high tptp.mod1)) % 0.29/0.56 (define @t39 () (tptp.greater tptp.mod1 tptp.low)) % 0.29/0.56 (define @t40 () (tptp.greater tptp.low tptp.very_low)) % 0.29/0.56 (define @t41 () (tptp.greater tptp.mod2 tptp.low)) % 0.29/0.56 (define @t42 () (@var "T0" $$unsorted)) % 0.29/0.56 (define @t43 () (tptp.greater @t15 (tptp.hazard_of_mortality @t2 @t42))) % 0.29/0.56 (define @t44 () (tptp.has_immunity @t2 @t42)) % 0.29/0.56 (define @t45 () (and @t34 @t44 @t30)) % 0.29/0.56 (define @t46 () (@list @t2 @t42 @t14)) % 0.29/0.56 (define @t47 () (forall @t46 (=> @t45 @t43))) % 0.29/0.56 (define @t48 () (not @t47)) % 0.29/0.56 (define @t49 () (= tptp.high @t15)) % 0.29/0.56 (define @t50 () (not @t17)) % 0.29/0.56 (define @t51 () (not @t19)) % 0.29/0.56 (define @t52 () (= tptp.mod2 @t15)) % 0.29/0.56 (define @t53 () (= tptp.mod1 @t15)) % 0.29/0.56 (define @t54 () (= tptp.low @t15)) % 0.29/0.56 (define @t55 () (and (=> @t26 @t54) (=> @t24 @t53) (=> @t22 @t52) (=> @t20 @t49))) % 0.29/0.56 (define @t56 () (not @t30)) % 0.29/0.56 (define @t57 () (= tptp.very_low @t15)) % 0.29/0.56 (define @t58 () (and (=> @t29 @t57) (=> @t30 @t55))) % 0.29/0.56 (define @t59 () (not @t34)) % 0.29/0.56 (define @t60 () (not @t44)) % 0.29/0.56 (define @t61 () (or @t59 @t60 @t29 @t43)) % 0.29/0.56 (define @t62 () (forall @t46 @t61)) % 0.29/0.56 (define @t63 () (@quantifiers_skolemize @t62 2)) % 0.29/0.56 (define @t64 () (@quantifiers_skolemize @t62 0)) % 0.29/0.56 (define @t65 () (or @t59 @t60 @t56)) % 0.29/0.56 (define @t66 () (tptp.organization @t64)) % 0.29/0.56 (define @t67 () (@quantifiers_skolemize @t62 1)) % 0.29/0.56 (define @t68 () (tptp.hazard_of_mortality @t64 @t67)) % 0.29/0.56 (define @t69 () (tptp.hazard_of_mortality @t64 @t63)) % 0.29/0.56 (define @t70 () (tptp.greater @t69 @t68)) % 0.29/0.56 (define @t71 () (tptp.has_immunity @t64 @t63)) % 0.29/0.56 (define @t72 () (tptp.has_immunity @t64 @t67)) % 0.29/0.56 (define @t73 () (not @t72)) % 0.29/0.56 (define @t74 () (not @t66)) % 0.29/0.56 (define @t75 () (or @t74 @t73 @t71 @t70)) % 0.29/0.56 (define @t76 () (@list true)) % 0.29/0.56 (define @t77 () (@list @t75)) % 0.29/0.56 (define @t78 () (= tptp.high @t69)) % 0.29/0.56 (define @t79 () (tptp.positional_advantage @t64 @t63)) % 0.29/0.56 (define @t80 () (tptp.is_aligned @t64 @t63)) % 0.29/0.56 (define @t81 () (or @t80 @t79 @t78)) % 0.29/0.56 (define @t82 () (= tptp.mod2 @t69)) % 0.29/0.56 (define @t83 () (not @t80)) % 0.29/0.56 (define @t84 () (or @t83 @t79 @t82)) % 0.29/0.56 (define @t85 () (= tptp.mod1 @t69)) % 0.29/0.56 (define @t86 () (not @t79)) % 0.29/0.56 (define @t87 () (or @t80 @t86 @t85)) % 0.29/0.56 (define @t88 () (= tptp.low @t69)) % 0.29/0.56 (define @t89 () (or @t83 @t86 @t88)) % 0.29/0.56 (define @t90 () (and @t89 @t87 @t84 @t81)) % 0.29/0.56 (define @t91 () (or @t71 @t90)) % 0.29/0.56 (define @t92 () (not @t71)) % 0.29/0.56 (define @t93 () (and (or @t92 (= tptp.very_low @t69)) @t91)) % 0.29/0.56 (define @t94 () (or @t74 @t93)) % 0.29/0.56 (define @t95 () (@list false false)) % 0.29/0.56 (define @t96 () (@list false)) % 0.29/0.56 (define @t97 () (@list true false)) % 0.29/0.56 (define @t98 () (not @t90)) % 0.29/0.56 (define @t99 () (@list @t90)) % 0.29/0.56 (define @t100 () (tptp.positional_advantage @t64 @t67)) % 0.29/0.56 (define @t101 () (tptp.is_aligned @t64 @t67)) % 0.29/0.56 (define @t102 () (not @t101)) % 0.29/0.56 (define @t103 () (not @t100)) % 0.29/0.56 (define @t104 () (= tptp.very_low @t68)) % 0.29/0.56 (define @t105 () (or @t73 @t104)) % 0.29/0.56 (define @t106 () (and @t105 (or @t72 (and (or @t102 @t103 (= tptp.low @t68)) (or @t101 @t103 (= tptp.mod1 @t68)) (or @t102 @t100 (= tptp.mod2 @t68)) (or @t101 @t100 (= tptp.high @t68)))))) % 0.29/0.56 (define @t107 () (or @t74 @t106)) % 0.29/0.56 (define @t108 () (tptp.smaller tptp.very_low tptp.low)) % 0.29/0.56 (define @t109 () (= @t108 @t40)) % 0.29/0.56 (define @t110 () (= @t40 @t108)) % 0.29/0.56 (define @t111 () (@list @t8)) % 0.29/0.56 (define @t112 () (not @t40)) % 0.29/0.56 (define @t113 () (tptp.smaller @t68 @t69)) % 0.29/0.56 (define @t114 () (= @t113 @t70)) % 0.29/0.56 (define @t115 () (= @t70 @t113)) % 0.29/0.56 (define @t116 () (not @t70)) % 0.29/0.56 (define @t117 () (not @t113)) % 0.29/0.56 (define @t118 () (not @t88)) % 0.29/0.56 (define @t119 () (not @t104)) % 0.29/0.56 (define @t120 () (not @t108)) % 0.29/0.56 (define @t121 () (= false true)) % 0.29/0.56 (define @t122 () (@list true false false)) % 0.29/0.56 (define @t123 () (not @t11)) % 0.29/0.56 (define @t124 () (not @t6)) % 0.29/0.56 (define @t125 () (tptp.greater tptp.mod1 tptp.very_low)) % 0.29/0.56 (define @t126 () (not @t39)) % 0.29/0.56 (define @t127 () (or @t126 @t112 @t125)) % 0.29/0.56 (define @t128 () (@list false false false)) % 0.29/0.56 (define @t129 () (tptp.greater tptp.high tptp.very_low)) % 0.29/0.56 (define @t130 () (not @t125)) % 0.29/0.56 (define @t131 () (not @t38)) % 0.29/0.56 (define @t132 () (or @t131 @t130 @t129)) % 0.29/0.56 (define @t133 () (not @t129)) % 0.29/0.56 (define @t134 () (not @t78)) % 0.29/0.56 (define @t135 () (not @t116)) % 0.29/0.56 (define @t136 () (and @t129 @t78 @t104 @t116)) % 0.29/0.56 (define @t137 () (tptp.greater tptp.mod2 tptp.very_low)) % 0.29/0.56 (define @t138 () (not @t41)) % 0.29/0.56 (define @t139 () (or @t138 @t112 @t137)) % 0.29/0.56 (define @t140 () (not @t137)) % 0.29/0.56 (define @t141 () (not @t82)) % 0.29/0.56 (define @t142 () (and @t137 @t82 @t104 @t116)) % 0.29/0.56 (define @t143 () (@list false true false)) % 0.29/0.56 (define @t144 () (not @t85)) % 0.29/0.56 (define @t145 () (and @t125 @t85 @t104 @t116)) % 0.29/0.56 (assume @p1 (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.29/0.56 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t6 @t3)))) % 0.29/0.56 (assume @p3 @t8) % 0.29/0.56 (assume @p4 (forall @t5 (not (and @t6 @t7)))) % 0.29/0.56 (assume @p5 @t13) % 0.29/0.56 (assume @p6 (forall @t5 (or @t4 @t3 @t6))) % 0.29/0.56 (assume @p7 @t37) % 0.29/0.56 (assume @p8 @t38) % 0.29/0.56 (assume @p9 @t39) % 0.29/0.56 (assume @p10 @t40) % 0.29/0.56 (assume @p11 (tptp.greater tptp.high tptp.mod2)) % 0.29/0.56 (assume @p12 @t41) % 0.29/0.56 (assume @p13 @t48) % 0.29/0.56 (assume @p14 true) % 0.29/0.56 (step @p15 :rule aci_norm :args ((= (or (or @t18 @t16) @t49) (or @t18 @t16 @t49)))) % 0.29/0.56 (step @p16 :rule refl :args (@t49)) % 0.29/0.56 (step @p17 :rule bool-double-not-elim :args (@t16)) % 0.29/0.56 (step @p18 :rule bool-double-not-elim :args (@t18)) % 0.29/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t51 @t50))) % 0.29/0.56 (step @p20 :rule bool-and-de-morgan :args (@t19 @t17 true)) % 0.29/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.29/0.56 (step @p22 :rule nary_cong :premises (@p21 @p16) :args ((or (not @t20) @t49))) % 0.29/0.56 (step @p23 :rule trans :premises (@p22 @p15)) % 0.29/0.56 (step @p24 :rule bool-impl-elim :args (@t20 @t49)) % 0.29/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.29/0.56 (step @p26 :rule aci_norm :args ((= (or (or @t19 @t16) @t52) (or @t19 @t16 @t52)))) % 0.29/0.56 (step @p27 :rule refl :args (@t52)) % 0.29/0.56 (step @p28 :rule refl :args (@t19)) % 0.29/0.56 (step @p29 :rule nary_cong :premises (@p28 @p17) :args ((or @t19 @t50))) % 0.29/0.56 (step @p30 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.29/0.56 (step @p31 :rule trans :premises (@p30 @p29)) % 0.29/0.56 (step @p32 :rule nary_cong :premises (@p31 @p27) :args ((or (not @t22) @t52))) % 0.29/0.56 (step @p33 :rule trans :premises (@p32 @p26)) % 0.29/0.56 (step @p34 :rule bool-impl-elim :args (@t22 @t52)) % 0.29/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.29/0.56 (step @p36 :rule aci_norm :args ((= (or (or @t18 @t17) @t53) (or @t18 @t17 @t53)))) % 0.29/0.56 (step @p37 :rule refl :args (@t53)) % 0.29/0.56 (step @p38 :rule refl :args (@t17)) % 0.29/0.56 (step @p39 :rule nary_cong :premises (@p18 @p38) :args ((or @t51 @t17))) % 0.29/0.56 (step @p40 :rule bool-and-de-morgan :args (@t19 @t16 true)) % 0.29/0.56 (step @p41 :rule trans :premises (@p40 @p39)) % 0.29/0.56 (step @p42 :rule nary_cong :premises (@p41 @p37) :args ((or (not @t24) @t53))) % 0.29/0.56 (step @p43 :rule trans :premises (@p42 @p36)) % 0.29/0.56 (step @p44 :rule bool-impl-elim :args (@t24 @t53)) % 0.29/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.29/0.56 (step @p46 :rule aci_norm :args ((= (or (or @t19 @t17) @t54) (or @t19 @t17 @t54)))) % 0.29/0.56 (step @p47 :rule refl :args (@t54)) % 0.29/0.56 (step @p48 :rule bool-and-de-morgan :args (@t18 @t16 true)) % 0.29/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t26) @t54))) % 0.29/0.56 (step @p50 :rule trans :premises (@p49 @p46)) % 0.29/0.56 (step @p51 :rule bool-impl-elim :args (@t26 @t54)) % 0.29/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.29/0.56 (step @p53 :rule nary_cong :premises (@p52 @p45 @p35 @p25) :args (@t55)) % 0.29/0.56 (step @p54 :rule refl :args (@t29)) % 0.29/0.56 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t29 @t55))) % 0.29/0.56 (step @p56 :rule refl :args (@t55)) % 0.29/0.56 (step @p57 :rule bool-double-not-elim :args (@t29)) % 0.29/0.56 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t56 @t55))) % 0.29/0.56 (step @p59 :rule bool-impl-elim :args (@t30 @t55)) % 0.29/0.56 (step @p60 :rule trans :premises (@p59 @p58)) % 0.29/0.56 (step @p61 :rule trans :premises (@p60 @p55)) % 0.29/0.56 (step @p62 :rule bool-impl-elim :args (@t29 @t57)) % 0.29/0.56 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t58)) % 0.29/0.56 (step @p64 :rule refl :args (@t59)) % 0.29/0.56 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t59 @t58))) % 0.29/0.56 (step @p66 :rule bool-impl-elim :args (@t34 @t58)) % 0.29/0.56 (step @p67 :rule trans :premises (@p66 @p65)) % 0.29/0.56 (step @p68 :rule cong :premises (@p67) :args ((forall @t36 (=> @t34 @t58)))) % 0.29/0.56 (step @p69 :rule eq-symm :args (@t15 tptp.high)) % 0.29/0.56 (step @p70 :rule refl :args (@t20)) % 0.29/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args (@t21)) % 0.29/0.56 (step @p72 :rule eq-symm :args (@t15 tptp.mod2)) % 0.29/0.56 (step @p73 :rule refl :args (@t22)) % 0.29/0.56 (step @p74 :rule cong :premises (@p73 @p72) :args (@t23)) % 0.29/0.56 (step @p75 :rule eq-symm :args (@t15 tptp.mod1)) % 0.29/0.56 (step @p76 :rule refl :args (@t24)) % 0.29/0.56 (step @p77 :rule cong :premises (@p76 @p75) :args (@t25)) % 0.29/0.56 (step @p78 :rule eq-symm :args (@t15 tptp.low)) % 0.29/0.56 (step @p79 :rule refl :args (@t26)) % 0.29/0.56 (step @p80 :rule cong :premises (@p79 @p78) :args (@t27)) % 0.29/0.56 (step @p81 :rule nary_cong :premises (@p80 @p77 @p74 @p71) :args (@t28)) % 0.29/0.56 (step @p82 :rule refl :args (@t30)) % 0.29/0.56 (step @p83 :rule cong :premises (@p82 @p81) :args (@t31)) % 0.29/0.56 (step @p84 :rule eq-symm :args (@t15 tptp.very_low)) % 0.29/0.56 (step @p85 :rule refl :args (@t29)) % 0.29/0.56 (step @p86 :rule cong :premises (@p85 @p84) :args (@t32)) % 0.29/0.56 (step @p87 :rule nary_cong :premises (@p86 @p83) :args (@t33)) % 0.29/0.56 (step @p88 :rule refl :args (@t34)) % 0.29/0.56 (step @p89 :rule cong :premises (@p88 @p87) :args (@t35)) % 0.29/0.56 (step @p90 :rule cong :premises (@p89) :args (@t37)) % 0.29/0.56 (step @p91 :rule trans :premises (@p90 @p68)) % 0.29/0.56 (step @p92 :rule eq_resolve :premises (@p7 @p91)) % 0.29/0.56 (step @p93 :rule instantiate :premises (@p92) :args ((@list @t64 @t63))) % 0.29/0.56 (step @p94 :rule aci_norm :args ((= (or (or @t59 @t60 @t29) @t43) @t61))) % 0.29/0.56 (step @p95 :rule refl :args (@t43)) % 0.29/0.56 (step @p96 :rule refl :args (@t60)) % 0.29/0.56 (step @p97 :rule nary_cong :premises (@p64 @p96 @p57) :args (@t65)) % 0.29/0.56 (step @p98 :rule aci_norm :args ((= (or @t59 (or @t60 @t56)) @t65))) % 0.29/0.56 (step @p99 :rule trans :premises (@p98 @p97)) % 0.29/0.56 (step @p100 :rule bool-and-de-morgan :args (@t44 @t30 true)) % 0.29/0.56 (step @p101 :rule nary_cong :premises (@p64 @p100) :args ((or @t59 (not (and @t44 @t30))))) % 0.29/0.56 (step @p102 :rule bool-and-de-morgan :args (@t34 @t44 (and @t30))) % 0.29/0.56 (step @p103 :rule trans :premises (@p102 @p101)) % 0.29/0.56 (step @p104 :rule trans :premises (@p103 @p99)) % 0.29/0.56 (step @p105 :rule nary_cong :premises (@p104 @p95) 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(assume-push @p389 @t125) % 0.29/0.57 (assume-push @p390 @t85) % 0.29/0.57 (assume-push @p391 @t104) % 0.29/0.57 (assume-push @p392 @t116) % 0.29/0.57 (step @p186 :rule evaluate :args (@t121)) % 0.29/0.57 (step @p314 :rule true_intro :premises (@p217)) % 0.29/0.57 (step @p189 :rule symm :premises (@p149)) % 0.29/0.57 (step @p315 :rule symm :premises (@p390)) % 0.29/0.57 (step @p316 :rule cong :premises (@p315 @p189) :args (@t70)) % 0.29/0.57 (step @p232 :rule false_intro :premises (@p173)) % 0.29/0.57 (step @p233 :rule symm :premises (@p232)) % 0.29/0.57 (step @p317 :rule trans :premises (@p233 @p316 @p314)) % 0.29/0.57 (step @p318 false :rule eq_resolve :premises (@p317 @p186)) % 0.29/0.57 (step-pop @p393 :rule scope :premises (@p318)) % 0.29/0.57 (step-pop @p394 :rule scope :premises (@p393)) % 0.29/0.57 (step-pop @p395 :rule scope :premises (@p394)) % 0.29/0.57 (step-pop @p396 :rule scope :premises (@p395)) % 0.29/0.57 (step @p319 :rule process_scope :premises (@p396) :args (false)) % 0.29/0.57 (assume-push @p397 @t116) % 0.29/0.57 (assume-push @p398 @t125) % 0.29/0.57 (assume-push @p399 @t104) % 0.29/0.57 (assume-push @p400 @t85) % 0.29/0.57 (step @p328 :rule and_intro :premises (@p217 @p400 @p149 @p173)) % 0.29/0.57 (step-pop @p401 :rule scope :premises (@p328)) % 0.29/0.57 (step-pop @p402 :rule scope :premises (@p401)) % 0.29/0.57 (step-pop @p403 :rule scope :premises (@p402)) % 0.29/0.57 (step-pop @p404 :rule scope :premises (@p403)) % 0.29/0.57 (step @p329 :rule process_scope :premises (@p404) :args (@t145)) % 0.29/0.57 (step @p334 :rule implies_elim :premises (@p329)) % 0.29/0.57 (step @p335 :rule resolution :premises (@p334 @p319) :args (true @t145)) % 0.29/0.57 (step @p336 :rule not_and :premises (@p335)) % 0.29/0.57 (step @p337 :rule eq_resolve :premises (@p336 @p309)) % 0.29/0.57 (step @p338 :rule chain_m_resolution :premises (@p337 @p173 @p217 @p149) :args (@t144 @t122 (@list @t70 @t125 @t104))) % 0.29/0.57 (step @p339 :rule cnf_or_pos :args (@t87)) % 0.29/0.57 (step @p340 :rule reordering :premises (@p339) :args ((or @t80 @t86 @t85 (not @t87)))) % 0.29/0.57 (step @p341 :rule chain_m_resolution :premises (@p340 @p303 @p338 @p306) :args (@t80 @t143 (@list @t79 @t85 @t87))) % 0.29/0.57 (step @p342 :rule cnf_or_pos :args (@t89)) % 0.29/0.57 (step @p343 :rule reordering :premises (@p342) :args ((or @t83 @t86 @t88 (not @t89)))) % 0.29/0.57 (step @p344 false :rule chain_m_resolution :premises (@p343 @p341 @p303 @p203 @p133) :args (false (@list false false true false) (@list @t80 @t79 @t88 @t89))) % 0.29/0.57 ) % 0.29/0.57 % SZS output end Proof % 0.29/0.57 % cvc5 exiting %------------------------------------------------------------------------------