%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN332+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 09:08:34 AM UTC 2026 % Result : Theorem 0.62s 0.86s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN332+1 : TPTP v9.2.1. Released v2.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n002.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 23:23:48 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.86 % SZS status Theorem % 0.62/0.86 % SZS output start Proof % 0.62/0.86 ( % 0.62/0.86 (declare-sort $$unsorted 0) % 0.62/0.86 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.62/0.86 (define @t1 () (@var "Y" $$unsorted)) % 0.62/0.86 (define @t2 () (@var "Z" $$unsorted)) % 0.62/0.86 (define @t3 () (tptp.big_f @t2 @t1)) % 0.62/0.86 (define @t4 () (@var "X" $$unsorted)) % 0.62/0.86 (define @t5 () (tptp.big_f @t1 @t4)) % 0.62/0.86 (define @t6 () (tptp.big_f @t4 @t1)) % 0.62/0.86 (define @t7 () (= (= @t6 @t5) @t3)) % 0.62/0.86 (define @t8 () (tptp.big_f @t2 @t2)) % 0.62/0.86 (define @t9 () (=> @t5 @t6)) % 0.62/0.86 (define @t10 () (= @t9 @t8)) % 0.62/0.86 (define @t11 () (=> @t10 @t7)) % 0.62/0.86 (define @t12 () (tptp.big_f @t1 @t2)) % 0.62/0.86 (define @t13 () (tptp.big_f @t4 @t2)) % 0.62/0.86 (define @t14 () (= @t13 @t12)) % 0.62/0.86 (define @t15 () (=> @t14 @t11)) % 0.62/0.86 (define @t16 () (tptp.big_f @t2 @t4)) % 0.62/0.86 (define @t17 () (= @t13 @t16)) % 0.62/0.86 (define @t18 () (=> @t17 @t15)) % 0.62/0.86 (define @t19 () (and @t6 @t5)) % 0.62/0.86 (define @t20 () (xor @t19 @t13)) % 0.62/0.86 (define @t21 () (=> @t20 @t18)) % 0.62/0.86 (define @t22 () (@list @t2)) % 0.62/0.86 (define @t23 () (forall @t22 @t21)) % 0.62/0.86 (define @t24 () (@list @t4 @t1)) % 0.62/0.86 (define @t25 () (exists @t24 @t23)) % 0.62/0.86 (define @t26 () (not @t25)) % 0.62/0.86 (define @t27 () (= @t5 @t6)) % 0.62/0.86 (define @t28 () (= @t3 @t27)) % 0.62/0.86 (define @t29 () (and @t5 (not @t6))) % 0.62/0.86 (define @t30 () (not @t13)) % 0.62/0.86 (define @t31 () (forall @t22 (or (= @t13 @t19) (= @t16 @t30) (= @t12 @t30) (= @t8 @t29) @t28))) % 0.62/0.86 (define @t32 () (forall @t24 (not @t31))) % 0.62/0.86 (define @t33 () (= @t29 @t8)) % 0.62/0.86 (define @t34 () (= @t30 @t12)) % 0.62/0.86 (define @t35 () (= @t30 @t16)) % 0.62/0.86 (define @t36 () (= @t19 @t13)) % 0.62/0.86 (define @t37 () (or @t36 @t35 @t34 @t33 @t28)) % 0.62/0.86 (define @t38 () (or @t35 @t34 @t33 @t28)) % 0.62/0.86 (define @t39 () (or @t34 @t33 @t28)) % 0.62/0.86 (define @t40 () (=> @t10 @t28)) % 0.62/0.86 (define @t41 () (=> @t14 @t40)) % 0.62/0.86 (define @t42 () (=> @t17 @t41)) % 0.62/0.86 (define @t43 () (@const 0 $$unsorted)) % 0.62/0.86 (define @t44 () (tptp.big_f @t2 @t43)) % 0.62/0.86 (define @t45 () (not @t8)) % 0.62/0.86 (define @t46 () (tptp.big_f @t43 @t2)) % 0.62/0.86 (define @t47 () (not @t46)) % 0.62/0.86 (define @t48 () (= @t44 @t47)) % 0.62/0.86 (define @t49 () (tptp.big_f @t43 @t43)) % 0.62/0.86 (define @t50 () (= @t46 @t49)) % 0.62/0.86 (define @t51 () (forall @t22 (or @t50 @t48 @t45 @t44))) % 0.62/0.86 (define @t52 () (@quantifiers_skolemize @t51 0)) % 0.62/0.86 (define @t53 () (tptp.big_f @t52 @t43)) % 0.62/0.86 (define @t54 () (tptp.big_f @t43 @t52)) % 0.62/0.86 (define @t55 () (= @t54 @t53)) % 0.62/0.86 (define @t56 () (tptp.big_f @t2 @t52)) % 0.62/0.86 (define @t57 () (not @t54)) % 0.62/0.86 (define @t58 () (and @t53 @t57)) % 0.62/0.86 (define @t59 () (= @t8 @t58)) % 0.62/0.86 (define @t60 () (tptp.big_f @t52 @t2)) % 0.62/0.86 (define @t61 () (and @t54 @t53)) % 0.62/0.86 (define @t62 () (= @t46 @t61)) % 0.62/0.86 (define @t63 () (forall @t22 (or @t62 @t48 (= @t47 @t60) @t59 (= @t56 @t55)))) % 0.62/0.86 (define @t64 () (@quantifiers_skolemize @t63 0)) % 0.62/0.86 (define @t65 () (tptp.big_f @t64 @t52)) % 0.62/0.86 (define @t66 () (tptp.big_f @t52 @t64)) % 0.62/0.86 (define @t67 () (= @t66 @t65)) % 0.62/0.86 (define @t68 () (not @t65)) % 0.62/0.86 (define @t69 () (and @t66 @t68)) % 0.62/0.86 (define @t70 () (tptp.big_f @t64 @t2)) % 0.62/0.86 (define @t71 () (not @t70)) % 0.62/0.86 (define @t72 () (and @t65 @t66)) % 0.62/0.86 (define @t73 () (forall @t22 (or (= @t70 @t72) (= (tptp.big_f @t2 @t64) @t71) (= @t60 @t71) (= @t8 @t69) (= @t56 @t67)))) % 0.62/0.86 (define @t74 () (@quantifiers_skolemize @t73 0)) % 0.62/0.86 (define @t75 () (tptp.big_f @t2 @t74)) % 0.62/0.86 (define @t76 () (tptp.big_f @t74 @t2)) % 0.62/0.86 (define @t77 () (not @t76)) % 0.62/0.86 (define @t78 () (= @t75 @t77)) % 0.62/0.86 (define @t79 () (tptp.big_f @t74 @t74)) % 0.62/0.86 (define @t80 () (= @t79 @t76)) % 0.62/0.86 (define @t81 () (= @t8 false)) % 0.62/0.86 (define @t82 () (or @t80 @t78 @t81 @t75)) % 0.62/0.86 (define @t83 () (not @t79)) % 0.62/0.86 (define @t84 () (= @t8 (and @t79 @t83))) % 0.62/0.86 (define @t85 () (or @t80 @t78 @t84 @t75)) % 0.62/0.86 (define @t86 () (= @t79 @t79)) % 0.62/0.86 (define @t87 () (and @t79 @t79)) % 0.62/0.86 (define @t88 () (= @t76 @t87)) % 0.62/0.86 (define @t89 () (or @t88 @t78 (= @t76 @t77) @t84 (= @t75 @t86))) % 0.62/0.86 (define @t90 () (forall @t22 @t89)) % 0.62/0.86 (define @t91 () (not @t90)) % 0.62/0.86 (define @t92 () (forall @t22 (or @t80 @t78 @t45 @t75))) % 0.62/0.86 (define @t93 () (@list false)) % 0.62/0.86 (define @t94 () (@list @t32)) % 0.62/0.86 (define @t95 () (@quantifiers_skolemize @t92 0)) % 0.62/0.86 (define @t96 () (tptp.big_f @t95 @t74)) % 0.62/0.86 (define @t97 () (tptp.big_f @t74 @t95)) % 0.62/0.86 (define @t98 () (not @t97)) % 0.62/0.86 (define @t99 () (= @t96 @t98)) % 0.62/0.86 (define @t100 () (= @t79 @t97)) % 0.62/0.86 (define @t101 () (or @t100 @t99 (not (tptp.big_f @t95 @t95)) @t96)) % 0.62/0.86 (define @t102 () (@list true)) % 0.62/0.86 (define @t103 () (@list @t101)) % 0.62/0.86 (define @t104 () (= @t56 (= @t53 @t54))) % 0.62/0.86 (define @t105 () (or @t62 @t48 (= @t60 @t47) @t59 @t104)) % 0.62/0.86 (define @t106 () (forall @t22 @t105)) % 0.62/0.86 (define @t107 () (not @t106)) % 0.62/0.86 (define @t108 () (not @t63)) % 0.62/0.86 (define @t109 () (= @t55 @t65)) % 0.62/0.86 (define @t110 () (tptp.big_f @t64 @t64)) % 0.62/0.86 (define @t111 () (tptp.big_f @t43 @t64)) % 0.62/0.86 (define @t112 () (not @t111)) % 0.62/0.86 (define @t113 () (= @t112 @t66)) % 0.62/0.86 (define @t114 () (= (tptp.big_f @t64 @t43) @t112)) % 0.62/0.86 (define @t115 () (= @t61 @t111)) % 0.62/0.86 (define @t116 () (or @t115 @t114 @t113 (= @t58 @t110) @t109)) % 0.62/0.86 (define @t117 () (not @t116)) % 0.62/0.86 (define @t118 () (or (= @t111 @t61) @t114 @t113 (= @t110 @t58) (= @t65 @t55))) % 0.62/0.86 (define @t119 () (not @t118)) % 0.62/0.86 (define @t120 () (@list @t116)) % 0.62/0.86 (define @t121 () (or @t50 @t48 @t81 @t44)) % 0.62/0.86 (define @t122 () (= @t8 (and @t49 (not @t49)))) % 0.62/0.86 (define @t123 () (or @t50 @t48 @t122 @t44)) % 0.62/0.86 (define @t124 () (= @t44 (= @t49 @t49))) % 0.62/0.86 (define @t125 () (and @t49 @t49)) % 0.62/0.86 (define @t126 () (= @t46 @t125)) % 0.62/0.86 (define @t127 () (or @t126 @t48 (= @t46 @t47) @t122 @t124)) % 0.62/0.86 (define @t128 () (forall @t22 @t127)) % 0.62/0.86 (define @t129 () (not @t128)) % 0.62/0.86 (define @t130 () (not @t51)) % 0.62/0.86 (define @t131 () (not (tptp.big_f @t52 @t52))) % 0.62/0.86 (define @t132 () (= @t53 @t57)) % 0.62/0.86 (define @t133 () (or (= @t49 @t54) @t132 @t131 @t53)) % 0.62/0.86 (define @t134 () (not @t133)) % 0.62/0.86 (define @t135 () (or (= @t54 @t49) @t132 @t131 @t53)) % 0.62/0.86 (define @t136 () (not @t135)) % 0.62/0.86 (define @t137 () (@list @t133)) % 0.62/0.86 (define @t138 () (@list true true)) % 0.62/0.86 (define @t139 () (not @t61)) % 0.62/0.86 (define @t140 () (@list true false)) % 0.62/0.86 (define @t141 () (not @t66)) % 0.62/0.86 (define @t142 () (tptp.big_f @t74 @t52)) % 0.62/0.86 (define @t143 () (= @t69 @t79)) % 0.62/0.86 (define @t144 () (tptp.big_f @t52 @t74)) % 0.62/0.86 (define @t145 () (tptp.big_f @t64 @t74)) % 0.62/0.86 (define @t146 () (not @t145)) % 0.62/0.86 (define @t147 () (= (tptp.big_f @t74 @t64) @t146)) % 0.62/0.86 (define @t148 () (or (= @t72 @t145) @t147 (= @t146 @t144) @t143 (= @t67 @t142))) % 0.62/0.86 (define @t149 () (not @t148)) % 0.62/0.86 (define @t150 () (not @t73)) % 0.62/0.86 (define @t151 () (or (= @t145 @t72) @t147 (= @t144 @t146) (= @t79 @t69) (= @t142 @t67))) % 0.62/0.86 (define @t152 () (not @t151)) % 0.62/0.86 (assume @p1 @t26) % 0.62/0.86 (assume @p2 true) % 0.62/0.86 (step @p3 :rule bool-double-not-elim :args (@t32)) % 0.62/0.86 (step @p4 :rule exists-elim :args ((= (exists @t24 @t31) (not @t32)))) % 0.62/0.86 (step @p5 :rule refl :args (@t28)) % 0.62/0.86 (step @p6 :rule eq-symm :args (@t29 @t8)) % 0.62/0.86 (step @p7 :rule eq-symm :args (@t30 @t12)) % 0.62/0.86 (step @p8 :rule eq-symm :args (@t30 @t16)) % 0.62/0.86 (step @p9 :rule eq-symm :args (@t19 @t13)) % 0.62/0.86 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7 @p6 @p5) :args (@t37)) % 0.62/0.86 (step @p11 :rule cong :premises (@p10) :args ((forall @t22 @t37))) % 0.62/0.86 (step @p12 :rule aci_norm :args ((= (or @t36 @t38) @t37))) % 0.62/0.86 (step @p13 :rule aci_norm :args ((= (or @t35 @t39) @t38))) % 0.62/0.86 (step @p14 :rule aci_norm :args ((= (or @t34 (or @t33 @t28)) @t39))) % 0.62/0.86 (step @p15 :rule refl :args (@t28)) % 0.62/0.86 (step @p16 :rule refl :args (@t8)) % 0.62/0.86 (step @p17 :rule bool-implies-de-morgan :args (@t5 @t6)) % 0.62/0.86 (step @p18 :rule cong :premises (@p17 @p16) :args ((= (not @t9) @t8))) % 0.62/0.86 (step @p19 :rule bool-not-eq-elim1 :args (@t9 @t8)) % 0.62/0.86 (step @p20 :rule trans :premises (@p19 @p18)) % 0.62/0.86 (step @p21 :rule nary_cong :premises (@p20 @p15) :args ((or (not @t10) @t28))) % 0.62/0.86 (step @p22 :rule bool-impl-elim :args (@t10 @t28)) % 0.62/0.86 (step @p23 :rule trans :premises (@p22 @p21)) % 0.62/0.86 (step @p24 :rule bool-not-eq-elim1 :args (@t13 @t12)) % 0.62/0.86 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t14) @t40))) % 0.62/0.86 (step @p26 :rule trans :premises (@p25 @p14)) % 0.62/0.86 (step @p27 :rule bool-impl-elim :args (@t14 @t40)) % 0.62/0.86 (step @p28 :rule trans :premises (@p27 @p26)) % 0.62/0.86 (step @p29 :rule bool-not-eq-elim1 :args (@t13 @t16)) % 0.62/0.86 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t17) @t41))) % 0.62/0.86 (step @p31 :rule trans :premises (@p30 @p13)) % 0.62/0.86 (step @p32 :rule bool-impl-elim :args (@t17 @t41)) % 0.62/0.86 (step @p33 :rule trans :premises (@p32 @p31)) % 0.62/0.86 (step @p34 :rule bool-not-xor-elim :args (@t19 @t13)) % 0.62/0.86 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t20) @t42))) % 0.62/0.86 (step @p36 :rule trans :premises (@p35 @p12)) % 0.62/0.86 (step @p37 :rule bool-impl-elim :args (@t20 @t42)) % 0.62/0.86 (step @p38 :rule trans :premises (@p37 @p36)) % 0.62/0.86 (step @p39 :rule cong :premises (@p38) :args ((forall @t22 (=> @t20 @t42)))) % 0.62/0.86 (step @p40 :rule trans :premises (@p39 @p11)) % 0.62/0.86 (step @p41 :rule eq-symm :args (@t27 @t3)) % 0.62/0.86 (step @p42 :rule refl :args (@t3)) % 0.62/0.86 (step @p43 :rule eq-symm :args (@t6 @t5)) % 0.62/0.86 (step @p44 :rule cong :premises (@p43 @p42) :args (@t7)) % 0.62/0.86 (step @p45 :rule trans :premises (@p44 @p41)) % 0.62/0.86 (step @p46 :rule refl :args (@t10)) % 0.62/0.86 (step @p47 :rule cong :premises (@p46 @p45) :args (@t11)) % 0.62/0.86 (step @p48 :rule refl :args (@t14)) % 0.62/0.86 (step @p49 :rule cong :premises (@p48 @p47) :args (@t15)) % 0.62/0.86 (step @p50 :rule refl :args (@t17)) % 0.62/0.86 (step @p51 :rule cong :premises (@p50 @p49) :args (@t18)) % 0.62/0.86 (step @p52 :rule refl :args (@t20)) % 0.62/0.86 (step @p53 :rule cong :premises (@p52 @p51) :args (@t21)) % 0.62/0.86 (step @p54 :rule cong :premises (@p53) :args (@t23)) % 0.62/0.86 (step @p55 :rule trans :premises (@p54 @p40)) % 0.62/0.86 (step @p56 :rule cong :premises (@p55) :args (@t25)) % 0.62/0.86 (step @p57 :rule trans :premises (@p56 @p4)) % 0.62/0.86 (step @p58 :rule cong :premises (@p57) :args (@t26)) % 0.62/0.86 (step @p59 :rule trans :premises (@p58 @p3)) % 0.62/0.86 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.62/0.86 (step @p61 :rule refl :args (@t75)) % 0.62/0.86 (step @p62 :rule bool-eq-false :args (@t8)) % 0.62/0.86 (step @p63 :rule refl :args (@t78)) % 0.62/0.86 (step @p64 :rule refl :args (@t80)) % 0.62/0.86 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61) :args (@t82)) % 0.62/0.86 (step @p66 :rule cong :premises (@p65) :args ((forall @t22 @t82))) % 0.62/0.86 (step @p67 :rule refl :args (@t75)) % 0.62/0.86 (step @p68 :rule bool-and-conf :args (true @t79 true true)) % 0.62/0.86 (step @p69 :rule cong :premises (@p16 @p68) :args (@t84)) % 0.62/0.86 (step @p70 :rule refl :args (@t78)) % 0.62/0.86 (step @p71 :rule refl :args (@t80)) % 0.62/0.86 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p67) :args (@t85)) % 0.62/0.86 (step @p73 :rule cong :premises (@p72) :args ((forall @t22 @t85))) % 0.62/0.86 (step @p74 :rule trans :premises (@p73 @p66)) % 0.62/0.86 (step @p75 :rule aci_norm :args ((= (or @t80 @t78 false @t84 @t75) @t85))) % 0.62/0.86 (step @p76 :rule bool-eq-true :args (@t75)) % 0.62/0.86 (step @p77 :rule eq-symm :args (true @t75)) % 0.62/0.86 (step @p78 :rule trans :premises (@p77 @p76)) % 0.62/0.86 (step @p79 :rule eq-refl :args (@t79)) % 0.62/0.86 (step @p80 :rule cong :premises (@p79 @p61) :args ((= @t86 @t75))) % 0.62/0.86 (step @p81 :rule trans :premises (@p80 @p78)) % 0.62/0.86 (step @p82 :rule eq-symm :args (@t75 @t86)) % 0.62/0.86 (step @p83 :rule trans :premises (@p82 @p81)) % 0.62/0.86 (step @p84 :rule refl :args (@t84)) % 0.62/0.86 (step @p85 :rule bool-eq-nrefl :args (@t76)) % 0.62/0.86 (step @p86 :rule eq-symm :args (@t76 @t79)) % 0.62/0.86 (step @p87 :rule aci_norm :args ((= @t87 @t79))) % 0.62/0.86 (step @p88 :rule refl :args (@t76)) % 0.62/0.86 (step @p89 :rule cong :premises (@p88 @p87) :args (@t88)) % 0.62/0.86 (step @p90 :rule trans :premises (@p89 @p86)) % 0.62/0.86 (step @p91 :rule nary_cong :premises (@p90 @p63 @p85 @p84 @p83) :args (@t89)) % 0.62/0.86 (step @p92 :rule trans :premises (@p91 @p75)) % 0.62/0.86 (step @p93 :rule cong :premises (@p92) :args (@t90)) % 0.62/0.86 (step @p94 :rule trans :premises (@p93 @p74)) % 0.62/0.86 (step @p95 :rule cong :premises (@p94) :args (@t91)) % 0.62/0.86 (step @p96 :rule refl :args (@t32)) % 0.62/0.86 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t32 @t91))) % 0.62/0.86 (assume-push @p270 @t32) % 0.62/0.86 (step @p99 :rule instantiate :premises (@p60) :args ((@list @t74 @t74))) % 0.62/0.86 (step-pop @p271 :rule scope :premises (@p99)) % 0.62/0.86 (step @p100 :rule process_scope :premises (@p271) :args (@t91)) % 0.62/0.86 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.62/0.86 (step @p103 :rule implies_elim :premises (@p102)) % 0.62/0.86 (step @p104 :rule chain_m_resolution :premises (@p103 @p60) :args ((not @t92) @t93 @t94)) % 0.62/0.86 (step @p105 :rule skolemize :premises (@p104)) % 0.62/0.86 (step @p106 :rule cnf_or_neg :args (@t101 1)) % 0.62/0.86 (step @p107 :rule chain_m_resolution :premises (@p106 @p105) :args ((not @t99) @t102 @t103)) % 0.62/0.86 (step @p108 :rule cnf_or_neg :args (@t101 3)) % 0.62/0.86 (step @p109 :rule chain_m_resolution :premises (@p108 @p105) :args ((not @t96) @t102 @t103)) % 0.62/0.86 (step @p110 :rule cnf_or_neg :args (@t101 0)) % 0.62/0.86 (step @p111 :rule chain_m_resolution :premises (@p110 @p105) :args ((not @t100) @t102 @t103)) % 0.62/0.86 (step @p112 :rule eq-symm :args (@t53 @t54)) % 0.62/0.86 (step @p113 :rule refl :args (@t56)) % 0.62/0.86 (step @p114 :rule cong :premises (@p113 @p112) :args (@t104)) % 0.62/0.86 (step @p115 :rule refl :args (@t59)) % 0.62/0.86 (step @p116 :rule eq-symm :args (@t60 @t47)) % 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(@t122)) % 0.62/0.86 (step @p161 :rule refl :args (@t48)) % 0.62/0.86 (step @p162 :rule refl :args (@t50)) % 0.62/0.86 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160 @p158) :args (@t123)) % 0.62/0.86 (step @p164 :rule cong :premises (@p163) :args ((forall @t22 @t123))) % 0.62/0.86 (step @p165 :rule trans :premises (@p164 @p157)) % 0.62/0.86 (step @p166 :rule aci_norm :args ((= (or @t50 @t48 false @t122 @t44) @t123))) % 0.62/0.86 (step @p167 :rule bool-eq-true :args (@t44)) % 0.62/0.86 (step @p168 :rule eq-refl :args (@t49)) % 0.62/0.86 (step @p169 :rule cong :premises (@p154 @p168) :args (@t124)) % 0.62/0.86 (step @p170 :rule trans :premises (@p169 @p167)) % 0.62/0.86 (step @p171 :rule refl :args (@t122)) % 0.62/0.86 (step @p172 :rule bool-eq-nrefl :args (@t46)) % 0.62/0.86 (step @p173 :rule aci_norm :args ((= @t125 @t49))) % 0.62/0.86 (step @p174 :rule refl :args (@t46)) % 0.62/0.86 (step @p175 :rule cong :premises (@p174 @p173) :args (@t126)) % 0.62/0.86 (step @p176 :rule 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(step @p218 :rule cnf_equiv_neg1 :args (@t115)) % 0.62/0.86 (step @p219 :rule reordering :premises (@p218) :args ((or @t61 @t111 @t115))) % 0.62/0.86 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p153) :args (@t111 @t138 (@list @t61 @t115))) % 0.62/0.86 (step @p221 :rule cnf_equiv_neg1 :args (@t113)) % 0.62/0.86 (step @p222 :rule reordering :premises (@p221) :args ((or @t112 @t66 @t113))) % 0.62/0.86 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p151) :args (@t66 (@list false true) (@list @t111 @t113))) % 0.62/0.86 (step @p224 :rule cnf_equiv_neg1 :args (@t55)) % 0.62/0.86 (step @p225 :rule reordering :premises (@p224) :args ((or @t54 @t53 @t55))) % 0.62/0.86 (step @p226 :rule chain_m_resolution :premises (@p225 @p214 @p211) :args (@t55 @t138 (@list @t54 @t53))) % 0.62/0.86 (step @p227 :rule cnf_or_neg :args (@t116 4)) % 0.62/0.86 (step @p228 :rule chain_m_resolution :premises (@p227 @p149) :args ((not @t109) @t102 @t120)) % 0.62/0.86 (step @p229 :rule cnf_equiv_neg2 :args (@t109)) % 0.62/0.86 (step @p230 :rule chain_m_resolution :premises (@p229 @p228 @p226) :args (@t68 @t140 (@list @t109 @t55))) % 0.62/0.86 (step @p231 :rule bool-double-not-elim :args (@t65)) % 0.62/0.86 (step @p232 :rule refl :args (@t141)) % 0.62/0.86 (step @p233 :rule refl :args (@t69)) % 0.62/0.86 (step @p234 :rule nary_cong :premises (@p233 @p232 @p231) :args ((or @t69 @t141 (not @t68)))) % 0.62/0.86 (step @p235 :rule cnf_and_neg :args (@t69)) % 0.62/0.86 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 0.62/0.86 (step @p237 :rule reordering :premises (@p236) :args ((or @t65 @t141 @t69))) % 0.62/0.86 (step @p238 :rule chain_m_resolution :premises (@p237 @p230 @p223) :args (@t69 @t140 (@list @t65 @t66))) % 0.62/0.86 (step @p239 :rule instantiate :premises (@p60) :args ((@list @t64 @t52))) % 0.62/0.86 (step @p240 :rule refl :args (@t149)) % 0.62/0.86 (step @p241 :rule bool-double-not-elim :args (@t73)) % 0.62/0.86 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or (not @t150) @t149))) % 0.62/0.86 (step @p243 :rule eq-symm :args (@t142 @t67)) % 0.62/0.86 (step @p244 :rule eq-symm :args (@t79 @t69)) % 0.62/0.86 (step @p245 :rule eq-symm :args (@t144 @t146)) % 0.62/0.86 (step @p246 :rule refl :args (@t147)) % 0.62/0.86 (step @p247 :rule eq-symm :args (@t145 @t72)) % 0.62/0.86 (step @p248 :rule nary_cong :premises (@p247 @p246 @p245 @p244 @p243) :args (@t151)) % 0.62/0.86 (step @p249 :rule cong :premises (@p248) :args (@t152)) % 0.62/0.86 (step @p250 :rule refl :args (@t150)) % 0.62/0.86 (step @p251 :rule cong :premises (@p250 @p249) :args ((=> @t150 @t152))) % 0.62/0.86 (assume-push @p280 @t150) % 0.62/0.86 (step @p253 :rule skolemize :premises (@p239)) % 0.62/0.86 (step-pop @p281 :rule scope :premises (@p253)) % 0.62/0.86 (step @p254 :rule process_scope :premises (@p281) :args (@t152)) % 0.62/0.86 (step @p256 :rule eq_resolve :premises (@p254 @p251)) % 0.62/0.86 (step @p257 :rule implies_elim :premises (@p256)) % 0.62/0.86 (step @p258 :rule eq_resolve :premises (@p257 @p242)) % 0.62/0.86 (step @p259 :rule chain_m_resolution :premises (@p258 @p239) :args (@t149 @t102 (@list @t73))) % 0.62/0.86 (step @p260 :rule cnf_or_neg :args (@t148 3)) % 0.62/0.86 (step @p261 :rule chain_m_resolution :premises (@p260 @p259) :args ((not @t143) @t102 (@list @t148))) % 0.62/0.86 (step @p262 :rule cnf_equiv_neg2 :args (@t143)) % 0.62/0.86 (step @p263 :rule chain_m_resolution :premises (@p262 @p261 @p238) :args (@t83 @t140 (@list @t143 @t69))) % 0.62/0.86 (step @p264 :rule cnf_equiv_neg1 :args (@t100)) % 0.62/0.86 (step @p265 :rule reordering :premises (@p264) :args ((or @t79 @t97 @t100))) % 0.62/0.86 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p111) :args (@t97 @t138 (@list @t79 @t100))) % 0.62/0.86 (step @p267 :rule cnf_equiv_neg1 :args (@t99)) % 0.62/0.86 (step @p268 :rule reordering :premises (@p267) :args ((or @t96 @t98 @t99))) % 0.62/0.86 (step @p269 false :rule chain_m_resolution :premises (@p268 @p266 @p109 @p107) :args (false (@list false true true) (@list @t97 @t96 @t99))) % 0.62/0.86 ) % 0.62/0.86 % SZS output end Proof % 0.62/0.86 % cvc5 exiting %------------------------------------------------------------------------------