%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN009-5 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:22:54 AM UTC 2026 % Result : Unsatisfiable 1.72s 1.99s % Output : Proof 1.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN009-5 : TPTP v9.2.1. Bugfixed v1.2.1. % 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 : n011.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 02:16:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.72/1.99 % SZS status Unsatisfiable % 1.72/1.99 % SZS output start Proof % 1.72/2.00 ( % 1.72/2.00 (declare-sort $$unsorted 0) % 1.72/2.00 (declare-const tptp.a $$unsorted) % 1.72/2.00 (declare-const tptp.identity $$unsorted) % 1.72/2.00 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.00 (declare-const tptp.zero $$unsorted) % 1.72/2.00 (define @t1 () (@var "X" $$unsorted)) % 1.72/2.00 (define @t2 () (@var "Y" $$unsorted)) % 1.72/2.00 (define @t3 () (tptp.divide @t1 @t2)) % 1.72/2.00 (define @t4 () (tptp.divide @t3 @t1)) % 1.72/2.00 (define @t5 () (@list @t1 @t2)) % 1.72/2.00 (define @t6 () (forall @t5 (= @t4 tptp.zero))) % 1.72/2.00 (define @t7 () (@var "Z" $$unsorted)) % 1.72/2.00 (define @t8 () (tptp.divide @t3 @t7)) % 1.72/2.00 (define @t9 () (tptp.divide @t2 @t7)) % 1.72/2.00 (define @t10 () (tptp.divide @t1 @t7)) % 1.72/2.00 (define @t11 () (tptp.divide (tptp.divide @t10 @t9) @t8)) % 1.72/2.00 (define @t12 () (forall (@list @t1 @t7 @t2) (= @t11 tptp.zero))) % 1.72/2.00 (define @t13 () (@list @t1)) % 1.72/2.00 (define @t14 () (= @t1 @t2)) % 1.72/2.00 (define @t15 () (tptp.divide @t2 @t1)) % 1.72/2.00 (define @t16 () (not (= @t15 tptp.zero))) % 1.72/2.00 (define @t17 () (not (= @t3 tptp.zero))) % 1.72/2.00 (define @t18 () (or @t17 @t16 @t14)) % 1.72/2.00 (define @t19 () (forall @t5 @t18)) % 1.72/2.00 (define @t20 () (tptp.divide @t1 tptp.identity)) % 1.72/2.00 (define @t21 () (forall @t13 (= @t20 tptp.zero))) % 1.72/2.00 (define @t22 () (@list @t1 @t2 @t7)) % 1.72/2.00 (define @t23 () (tptp.divide @t10 @t2)) % 1.72/2.00 (define @t24 () (not (= @t8 tptp.zero))) % 1.72/2.00 (define @t25 () (or @t24 (= @t23 tptp.zero))) % 1.72/2.00 (define @t26 () (forall @t22 @t25)) % 1.72/2.00 (define @t27 () (tptp.divide (tptp.divide @t7 @t2) (tptp.divide @t7 @t1))) % 1.72/2.00 (define @t28 () (or @t17 (= @t27 tptp.zero))) % 1.72/2.00 (define @t29 () (forall @t22 @t28)) % 1.72/2.00 (define @t30 () (tptp.divide tptp.identity tptp.a)) % 1.72/2.00 (define @t31 () (tptp.divide tptp.identity @t30)) % 1.72/2.00 (define @t32 () (tptp.divide tptp.identity @t31)) % 1.72/2.00 (define @t33 () (tptp.divide tptp.identity tptp.identity)) % 1.72/2.00 (define @t34 () (tptp.divide @t30 @t33)) % 1.72/2.00 (define @t35 () (tptp.divide tptp.identity @t34)) % 1.72/2.00 (define @t36 () (tptp.divide tptp.identity @t35)) % 1.72/2.00 (define @t37 () (= tptp.zero (tptp.divide @t30 @t36))) % 1.72/2.00 (define @t38 () (not @t37)) % 1.72/2.00 (define @t39 () (tptp.divide @t36 @t30)) % 1.72/2.00 (define @t40 () (= tptp.zero @t39)) % 1.72/2.00 (define @t41 () (not @t40)) % 1.72/2.00 (define @t42 () (or @t41 @t38 (= @t36 @t30))) % 1.72/2.00 (define @t43 () (forall @t5 (or (not (= tptp.zero @t3)) (not (= tptp.zero @t15)) @t14))) % 1.72/2.00 (define @t44 () (= @t30 @t36)) % 1.72/2.00 (define @t45 () (or @t41 @t38 @t44)) % 1.72/2.00 (define @t46 () (@list false)) % 1.72/2.00 (define @t47 () (@list @t43)) % 1.72/2.00 (define @t48 () (tptp.divide @t30 tptp.a)) % 1.72/2.00 (define @t49 () (tptp.divide @t30 @t48)) % 1.72/2.00 (define @t50 () (= tptp.zero @t49)) % 1.72/2.00 (define @t51 () (not @t50)) % 1.72/2.00 (define @t52 () (= tptp.zero (tptp.divide @t48 @t30))) % 1.72/2.00 (define @t53 () (not @t52)) % 1.72/2.00 (define @t54 () (or @t53 @t51 (= @t48 @t30))) % 1.72/2.00 (define @t55 () (= @t30 @t48)) % 1.72/2.00 (define @t56 () (or @t53 @t51 @t55)) % 1.72/2.00 (define @t57 () (= tptp.zero (tptp.divide @t33 @t49))) % 1.72/2.00 (define @t58 () (not @t57)) % 1.72/2.00 (define @t59 () (tptp.divide @t49 @t33)) % 1.72/2.00 (define @t60 () (= tptp.zero @t59)) % 1.72/2.00 (define @t61 () (not @t60)) % 1.72/2.00 (define @t62 () (or @t61 @t58 (= @t49 @t33))) % 1.72/2.00 (define @t63 () (@list @t49 @t33)) % 1.72/2.00 (define @t64 () (= @t33 @t49)) % 1.72/2.00 (define @t65 () (or @t61 @t58 @t64)) % 1.72/2.00 (define @t66 () (@list tptp.identity tptp.a @t30)) % 1.72/2.00 (define @t67 () (tptp.divide tptp.a tptp.a)) % 1.72/2.00 (define @t68 () (tptp.divide @t67 tptp.identity)) % 1.72/2.00 (define @t69 () (= tptp.zero (tptp.divide @t67 @t68))) % 1.72/2.00 (define @t70 () (not @t69)) % 1.72/2.00 (define @t71 () (= tptp.zero (tptp.divide @t68 @t67))) % 1.72/2.00 (define @t72 () (not @t71)) % 1.72/2.00 (define @t73 () (or @t72 @t70 (= @t68 @t67))) % 1.72/2.00 (define @t74 () (= @t67 @t68)) % 1.72/2.00 (define @t75 () (or @t72 @t70 @t74)) % 1.72/2.00 (define @t76 () (= tptp.zero @t68)) % 1.72/2.00 (define @t77 () (tptp.divide tptp.a tptp.identity)) % 1.72/2.00 (define @t78 () (tptp.divide @t77 tptp.a)) % 1.72/2.00 (define @t79 () (= tptp.zero @t78)) % 1.72/2.00 (define @t80 () (not @t79)) % 1.72/2.00 (define @t81 () (or @t80 @t76)) % 1.72/2.00 (define @t82 () (@list false false)) % 1.72/2.00 (define @t83 () (tptp.divide @t67 @t33)) % 1.72/2.00 (define @t84 () (= tptp.zero @t83)) % 1.72/2.00 (define @t85 () (= tptp.zero (tptp.divide (tptp.divide tptp.a @t33) tptp.a))) % 1.72/2.00 (define @t86 () (not @t85)) % 1.72/2.00 (define @t87 () (or @t86 @t84)) % 1.72/2.00 (define @t88 () (@list false false false)) % 1.72/2.00 (define @t89 () (= tptp.zero (tptp.divide @t30 @t30))) % 1.72/2.00 (define @t90 () (= tptp.zero @t67)) % 1.72/2.00 (define @t91 () (not @t90)) % 1.72/2.00 (define @t92 () (or @t91 @t89)) % 1.72/2.00 (define @t93 () (tptp.divide @t31 tptp.a)) % 1.72/2.00 (define @t94 () (= tptp.zero @t93)) % 1.72/2.00 (define @t95 () (not @t89)) % 1.72/2.00 (define @t96 () (or @t95 @t94)) % 1.72/2.00 (define @t97 () (tptp.divide @t30 @t67)) % 1.72/2.00 (define @t98 () (= tptp.zero (tptp.divide @t48 @t97))) % 1.72/2.00 (define @t99 () (not @t98)) % 1.72/2.00 (define @t100 () (= tptp.zero (tptp.divide @t97 @t48))) % 1.72/2.00 (define @t101 () (not @t100)) % 1.72/2.00 (define @t102 () (or @t101 @t99 (= @t97 @t48))) % 1.72/2.00 (define @t103 () (= @t48 @t97)) % 1.72/2.00 (define @t104 () (or @t101 @t99 @t103)) % 1.72/2.00 (define @t105 () (tptp.divide @t30 tptp.identity)) % 1.72/2.00 (define @t106 () (tptp.divide @t30 @t105)) % 1.72/2.00 (define @t107 () (tptp.divide @t48 @t34)) % 1.72/2.00 (define @t108 () (= tptp.zero (tptp.divide @t33 tptp.a))) % 1.72/2.00 (define @t109 () (= tptp.zero @t105)) % 1.72/2.00 (define @t110 () (not @t109)) % 1.72/2.00 (define @t111 () (or @t110 @t108)) % 1.72/2.00 (define @t112 () (= tptp.zero @t107)) % 1.72/2.00 (define @t113 () (not @t108)) % 1.72/2.00 (define @t114 () (or @t113 @t112)) % 1.72/2.00 (define @t115 () (tptp.divide @t32 tptp.identity)) % 1.72/2.00 (define @t116 () (= tptp.zero (tptp.divide @t34 @t34))) % 1.72/2.00 (define @t117 () (= tptp.zero (tptp.divide @t33 @t33))) % 1.72/2.00 (define @t118 () (not @t117)) % 1.72/2.00 (define @t119 () (or @t118 @t116)) % 1.72/2.00 (define @t120 () (= tptp.zero (tptp.divide @t35 @t35))) % 1.72/2.00 (define @t121 () (not @t116)) % 1.72/2.00 (define @t122 () (or @t121 @t120)) % 1.72/2.00 (define @t123 () (tptp.divide @t36 @t34)) % 1.72/2.00 (define @t124 () (= tptp.zero @t123)) % 1.72/2.00 (define @t125 () (not @t120)) % 1.72/2.00 (define @t126 () (or @t125 @t124)) % 1.72/2.00 (define @t127 () (@list @t120 @t126)) % 1.72/2.00 (define @t128 () (tptp.divide @t35 @t30)) % 1.72/2.00 (define @t129 () (tptp.divide @t31 @t128)) % 1.72/2.00 (define @t130 () (= tptp.zero (tptp.divide @t33 @t129))) % 1.72/2.00 (define @t131 () (not @t130)) % 1.72/2.00 (define @t132 () (tptp.divide @t129 @t33)) % 1.72/2.00 (define @t133 () (= tptp.zero @t132)) % 1.72/2.00 (define @t134 () (not @t133)) % 1.72/2.00 (define @t135 () (or @t134 @t131 (= @t129 @t33))) % 1.72/2.00 (define @t136 () (@list @t129 @t33)) % 1.72/2.00 (define @t137 () (= @t33 @t129)) % 1.72/2.00 (define @t138 () (or @t134 @t131 @t137)) % 1.72/2.00 (define @t139 () (tptp.divide @t31 tptp.identity)) % 1.72/2.00 (define @t140 () (tptp.divide @t33 @t30)) % 1.72/2.00 (define @t141 () (= tptp.zero @t140)) % 1.72/2.00 (define @t142 () (= tptp.zero @t139)) % 1.72/2.00 (define @t143 () (not @t142)) % 1.72/2.00 (define @t144 () (or @t143 @t141)) % 1.72/2.00 (define @t145 () (tptp.divide @t31 (tptp.divide @t34 @t30))) % 1.72/2.00 (define @t146 () (= tptp.zero (tptp.divide (tptp.divide @t31 @t33) @t128))) % 1.72/2.00 (define @t147 () (not @t146)) % 1.72/2.00 (define @t148 () (or @t147 @t133)) % 1.72/2.00 (define @t149 () (= tptp.zero @t33)) % 1.72/2.00 (define @t150 () (and @t109 @t149 @t76 @t74 @t55 @t103 @t137 @t124)) % 1.72/2.00 (define @t151 () (tptp.divide @t30 @t32)) % 1.72/2.00 (define @t152 () (= tptp.zero @t151)) % 1.72/2.00 (define @t153 () (not @t94)) % 1.72/2.00 (define @t154 () (or @t153 @t152)) % 1.72/2.00 (assume @p1 @t6) % 1.72/2.00 (assume @p2 @t12) % 1.72/2.00 (assume @p3 (forall @t13 (= (tptp.divide tptp.zero @t1) tptp.zero))) % 1.72/2.00 (assume @p4 @t19) % 1.72/2.00 (assume @p5 @t21) % 1.72/2.00 (assume @p6 (forall @t22 (or @t17 (not (= @t9 tptp.zero)) (= @t10 tptp.zero)))) % 1.72/2.00 (assume @p7 @t26) % 1.72/2.00 (assume @p8 @t29) % 1.72/2.00 (assume @p9 (not (= @t30 @t32))) % 1.72/2.00 (step @p10 :rule refl :args (@t14)) % 1.72/2.00 (step @p11 :rule eq-symm :args (@t15 tptp.zero)) % 1.72/2.00 (step @p12 :rule cong :premises (@p11) :args (@t16)) % 1.72/2.00 (step @p13 :rule eq-symm :args (@t3 tptp.zero)) % 1.72/2.00 (step @p14 :rule cong :premises (@p13) :args (@t17)) % 1.72/2.00 (step @p15 :rule nary_cong :premises (@p14 @p12 @p10) :args (@t18)) % 1.72/2.00 (step @p16 :rule cong :premises (@p15) :args (@t19)) % 1.72/2.00 (step @p17 :rule eq_resolve :premises (@p4 @p16)) % 1.72/2.00 (step @p18 :rule eq-symm :args (@t36 @t30)) % 1.72/2.00 (step @p19 :rule refl :args (@t38)) % 1.72/2.00 (step @p20 :rule refl :args (@t41)) % 1.72/2.00 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18) :args (@t42)) % 1.72/2.00 (step @p22 :rule refl :args (@t43)) % 1.72/2.00 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t43 @t42))) % 1.72/2.00 (assume-push @p319 @t43) % 1.72/2.00 (step @p25 :rule instantiate :premises (@p17) :args ((@list @t36 @t30))) % 1.72/2.00 (step-pop @p320 :rule scope :premises (@p25)) % 1.72/2.00 (step @p26 :rule process_scope :premises (@p320) :args (@t42)) % 1.72/2.00 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 1.72/2.00 (step @p29 :rule implies_elim :premises (@p28)) % 1.72/2.00 (step @p30 :rule chain_m_resolution :premises (@p29 @p17) :args (@t45 @t46 @t47)) % 1.72/2.00 (step @p31 :rule false_intro :premises (@p9)) % 1.72/2.00 (step @p32 :rule eq-symm :args (@t48 @t30)) % 1.72/2.00 (step @p33 :rule refl :args (@t51)) % 1.72/2.00 (step @p34 :rule refl :args (@t53)) % 1.72/2.00 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args (@t54)) % 1.72/2.00 (step @p36 :rule cong :premises (@p22 @p35) :args ((=> @t43 @t54))) % 1.72/2.00 (assume-push @p321 @t43) % 1.72/2.00 (step @p38 :rule instantiate :premises (@p17) :args ((@list @t48 @t30))) % 1.72/2.00 (step-pop @p322 :rule scope :premises (@p38)) % 1.72/2.00 (step @p39 :rule process_scope :premises (@p322) :args (@t54)) % 1.72/2.00 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 1.72/2.00 (step @p42 :rule implies_elim :premises (@p41)) % 1.72/2.00 (step @p43 :rule chain_m_resolution :premises (@p42 @p17) :args (@t56 @t46 @t47)) % 1.72/2.00 (step @p44 :rule eq-symm :args (@t49 @t33)) % 1.72/2.00 (step @p45 :rule refl :args (@t58)) % 1.72/2.00 (step @p46 :rule refl :args (@t61)) % 1.72/2.00 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t62)) % 1.72/2.00 (step @p48 :rule cong :premises (@p22 @p47) :args ((=> @t43 @t62))) % 1.72/2.00 (assume-push @p323 @t43) % 1.72/2.00 (step @p50 :rule instantiate :premises (@p17) :args (@t63)) % 1.72/2.00 (step-pop @p324 :rule scope :premises (@p50)) % 1.72/2.00 (step @p51 :rule process_scope :premises (@p324) :args (@t62)) % 1.72/2.00 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 1.72/2.00 (step @p54 :rule implies_elim :premises (@p53)) % 1.72/2.00 (step @p55 :rule chain_m_resolution :premises (@p54 @p17) :args (@t65 @t46 @t47)) % 1.72/2.00 (step @p56 :rule refl :args (@t49)) % 1.72/2.00 (step @p57 :rule eq-symm :args (@t20 tptp.zero)) % 1.72/2.00 (step @p58 :rule cong :premises (@p57) :args (@t21)) % 1.72/2.00 (step @p59 :rule eq_resolve :premises (@p5 @p58)) % 1.72/2.00 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.identity))) % 1.72/2.00 (step @p61 :rule eq-symm :args (@t4 tptp.zero)) % 1.72/2.00 (step @p62 :rule cong :premises (@p61) :args (@t6)) % 1.72/2.00 (step @p63 :rule eq_resolve :premises (@p1 @p62)) % 1.72/2.00 (step @p64 :rule instantiate :premises (@p63) :args ((@list tptp.identity @t31))) % 1.72/2.00 (step @p65 :rule symm :premises (@p64)) % 1.72/2.00 (step @p66 :rule trans :premises (@p65 @p60)) % 1.72/2.00 (step @p67 :rule eq-symm :args (@t11 tptp.zero)) % 1.72/2.00 (step @p68 :rule cong :premises (@p67) :args (@t12)) % 1.72/2.00 (step @p69 :rule eq_resolve :premises (@p2 @p68)) % 1.72/2.00 (step @p70 :rule instantiate :premises (@p69) :args (@t66)) % 1.72/2.00 (step @p71 :rule symm :premises (@p70)) % 1.72/2.00 (step @p72 :rule eq-symm :args (@t23 tptp.zero)) % 1.72/2.00 (step @p73 :rule eq-symm :args (@t8 tptp.zero)) % 1.72/2.00 (step @p74 :rule cong :premises (@p73) :args (@t24)) % 1.72/2.00 (step @p75 :rule nary_cong :premises (@p74 @p72) :args (@t25)) % 1.72/2.00 (step @p76 :rule cong :premises (@p75) :args (@t26)) % 1.72/2.00 (step @p77 :rule eq_resolve :premises (@p7 @p76)) % 1.72/2.00 (step @p78 :rule instantiate :premises (@p77) :args (@t66)) % 1.72/2.00 (step @p79 :rule eq-symm :args (@t27 tptp.zero)) % 1.72/2.00 (step @p80 :rule nary_cong :premises (@p14 @p79) :args (@t28)) % 1.72/2.00 (step @p81 :rule cong :premises (@p80) :args (@t29)) % 1.72/2.00 (step @p82 :rule eq_resolve :premises (@p8 @p81)) % 1.72/2.00 (step @p83 :rule instantiate :premises (@p82) :args ((@list tptp.a tptp.a tptp.identity))) % 1.72/2.00 (step @p84 :rule eq-symm :args (@t68 @t67)) % 1.72/2.00 (step @p85 :rule refl :args (@t70)) % 1.72/2.00 (step @p86 :rule refl :args (@t72)) % 1.72/2.00 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t73)) % 1.72/2.00 (step @p88 :rule cong :premises (@p22 @p87) :args ((=> @t43 @t73))) % 1.72/2.00 (assume-push @p325 @t43) % 1.72/2.00 (step @p90 :rule instantiate :premises (@p17) :args ((@list @t68 @t67))) % 1.72/2.00 (step-pop @p326 :rule scope :premises (@p90)) % 1.72/2.00 (step @p91 :rule process_scope :premises (@p326) :args (@t73)) % 1.72/2.00 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 1.72/2.00 (step @p94 :rule implies_elim :premises (@p93)) % 1.72/2.00 (step @p95 :rule chain_m_resolution :premises (@p94 @p17) :args (@t75 @t46 @t47)) % 1.72/2.00 (step @p96 :rule instantiate :premises (@p77) :args ((@list tptp.a tptp.identity tptp.a))) % 1.72/2.00 (step @p97 :rule instantiate :premises (@p63) :args ((@list tptp.a tptp.identity))) % 1.72/2.00 (step @p98 :rule cnf_or_pos :args (@t81)) % 1.72/2.00 (step @p99 :rule reordering :premises (@p98) :args ((or @t80 @t76 (not @t81)))) % 1.72/2.00 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p96) :args (@t76 @t82 (@list @t79 @t81))) % 1.72/2.00 (step @p101 :rule symm :premises (@p60)) % 1.72/2.00 (step @p102 :rule trans :premises (@p101 @p100)) % 1.72/2.00 (step @p103 :rule refl :args (@t67)) % 1.72/2.00 (step @p104 :rule cong :premises (@p103 @p102) :args (@t83)) % 1.72/2.00 (step @p105 :rule instantiate :premises (@p77) :args ((@list tptp.a @t33 tptp.a))) % 1.72/2.00 (step @p106 :rule instantiate :premises (@p63) :args ((@list tptp.a @t33))) % 1.72/2.00 (step @p107 :rule cnf_or_pos :args (@t87)) % 1.72/2.00 (step @p108 :rule reordering :premises (@p107) :args ((or @t86 @t84 (not @t87)))) % 1.72/2.00 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p105) :args (@t84 @t82 (@list @t85 @t87))) % 1.72/2.00 (step @p110 :rule trans :premises (@p109 @p104)) % 1.72/2.00 (step @p111 :rule instantiate :premises (@p63) :args ((@list @t67 tptp.identity))) % 1.72/2.00 (step @p112 :rule cnf_or_pos :args (@t75)) % 1.72/2.00 (step @p113 :rule reordering :premises (@p112) :args ((or @t72 @t70 @t74 (not @t75)))) % 1.72/2.00 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p110 @p95) :args (@t74 @t88 (@list @t71 @t69 @t75))) % 1.72/2.00 (step @p115 :rule symm :premises (@p114)) % 1.72/2.00 (step @p116 :rule trans :premises (@p100 @p115)) % 1.72/2.00 (step @p117 :rule cnf_or_pos :args (@t92)) % 1.72/2.00 (step @p118 :rule reordering :premises (@p117) :args ((or @t91 @t89 (not @t92)))) % 1.72/2.00 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p83) :args (@t89 @t82 (@list @t90 @t92))) % 1.72/2.00 (step @p120 :rule cnf_or_pos :args (@t96)) % 1.72/2.00 (step @p121 :rule reordering :premises (@p120) :args ((or @t94 @t95 (not @t96)))) % 1.72/2.00 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p78) :args (@t94 @t82 (@list @t89 @t96))) % 1.72/2.00 (step @p123 :rule trans :premises (@p101 @p122)) % 1.72/2.00 (step @p124 :rule cong :premises (@p56 @p123) :args (@t59)) % 1.72/2.00 (step @p125 :rule trans :premises (@p124 @p71 @p64)) % 1.72/2.00 (step @p126 :rule trans :premises (@p125 @p66)) % 1.72/2.00 (step @p127 :rule cong :premises (@p126 @p56) :args ((tptp.divide @t59 @t49))) % 1.72/2.00 (step @p128 :rule instantiate :premises (@p63) :args (@t63)) % 1.72/2.00 (step @p129 :rule trans :premises (@p128 @p127)) % 1.72/2.00 (step @p130 :rule symm :premises (@p122)) % 1.72/2.00 (step @p131 :rule trans :premises (@p130 @p60)) % 1.72/2.00 (step @p132 :rule cong :premises (@p56 @p131) :args ((tptp.divide @t49 @t93))) % 1.72/2.00 (step @p133 :rule trans :premises (@p70 @p132)) % 1.72/2.00 (step @p134 :rule cnf_or_pos :args (@t65)) % 1.72/2.00 (step @p135 :rule reordering :premises (@p134) :args ((or @t61 @t58 @t64 (not @t65)))) % 1.72/2.00 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p129 @p55) :args (@t64 @t88 (@list @t60 @t57 @t65))) % 1.72/2.00 (step @p137 :rule trans :premises (@p60 @p136)) % 1.72/2.00 (step @p138 :rule instantiate :premises (@p63) :args ((@list @t30 tptp.a))) % 1.72/2.00 (step @p139 :rule cnf_or_pos :args (@t56)) % 1.72/2.00 (step @p140 :rule reordering :premises (@p139) :args ((or @t53 @t51 @t55 (not @t56)))) % 1.72/2.00 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p137 @p43) :args (@t55 @t88 (@list @t52 @t50 @t56))) % 1.72/2.00 (step @p142 :rule symm :premises (@p141)) % 1.72/2.00 (step @p143 :rule eq-symm :args (@t97 @t48)) % 1.72/2.00 (step @p144 :rule refl :args (@t99)) % 1.72/2.00 (step @p145 :rule refl :args (@t101)) % 1.72/2.00 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args (@t102)) % 1.72/2.00 (step @p147 :rule cong :premises (@p22 @p146) :args ((=> @t43 @t102))) % 1.72/2.00 (assume-push @p327 @t43) % 1.72/2.00 (step @p149 :rule instantiate :premises (@p17) :args ((@list @t97 @t48))) % 1.72/2.00 (step-pop @p328 :rule scope :premises (@p149)) % 1.72/2.00 (step @p150 :rule process_scope :premises (@p328) :args (@t102)) % 1.72/2.00 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 1.72/2.00 (step @p153 :rule implies_elim :premises (@p152)) % 1.72/2.00 (step @p154 :rule chain_m_resolution :premises (@p153 @p17) :args (@t104 @t46 @t47)) % 1.72/2.00 (step @p155 :rule instantiate :premises (@p63) :args ((@list tptp.identity tptp.a))) % 1.72/2.00 (step @p156 :rule symm :premises (@p155)) % 1.72/2.00 (step @p157 :rule trans :premises (@p156 @p100 @p115)) % 1.72/2.00 (step @p158 :rule refl :args (@t30)) % 1.72/2.00 (step @p159 :rule cong :premises (@p158 @p157) :args (@t106)) % 1.72/2.00 (step @p160 :rule trans :premises (@p101 @p155)) % 1.72/2.00 (step @p161 :rule cong :premises (@p158 @p160) :args (@t34)) % 1.72/2.00 (step @p162 :rule trans :premises (@p161 @p159)) % 1.72/2.00 (step @p163 :rule refl :args (@t48)) % 1.72/2.00 (step @p164 :rule cong :premises (@p163 @p162) :args (@t107)) % 1.72/2.00 (step @p165 :rule instantiate :premises (@p82) :args ((@list @t33 tptp.a @t30))) % 1.72/2.00 (step @p166 :rule instantiate :premises (@p77) :args ((@list tptp.identity tptp.a tptp.identity))) % 1.72/2.00 (step @p167 :rule cnf_or_pos :args (@t111)) % 1.72/2.00 (step @p168 :rule reordering :premises (@p167) :args ((or @t110 @t108 (not @t111)))) % 1.72/2.00 (step @p169 :rule chain_m_resolution :premises (@p168 @p155 @p166) :args (@t108 @t82 (@list @t109 @t111))) % 1.72/2.00 (step @p170 :rule cnf_or_pos :args (@t114)) % 1.72/2.00 (step @p171 :rule reordering :premises (@p170) :args ((or @t113 @t112 (not @t114)))) % 1.72/2.00 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p165) :args (@t112 @t82 (@list @t108 @t114))) % 1.72/2.00 (step @p173 :rule trans :premises (@p172 @p164)) % 1.72/2.00 (step @p174 :rule instantiate :premises (@p69) :args ((@list tptp.identity tptp.a tptp.a))) % 1.72/2.00 (step @p175 :rule cnf_or_pos :args (@t104)) % 1.72/2.00 (step @p176 :rule reordering :premises (@p175) :args ((or @t101 @t99 @t103 (not @t104)))) % 1.72/2.00 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p173 @p154) :args (@t103 @t88 (@list @t100 @t98 @t104))) % 1.72/2.00 (step @p178 :rule symm :premises (@p177)) % 1.72/2.00 (step @p179 :rule trans :premises (@p161 @p159 @p178 @p142)) % 1.72/2.00 (step @p180 :rule refl :args (tptp.identity)) % 1.72/2.00 (step @p181 :rule cong :premises (@p180 @p179) :args (@t35)) % 1.72/2.00 (step @p182 :rule cong :premises (@p180 @p181) :args (@t36)) % 1.72/2.00 (step @p183 :rule cong :premises (@p158 @p182) :args (@t44)) % 1.72/2.00 (step @p184 :rule trans :premises (@p183 @p31)) % 1.72/2.00 (step @p185 :rule false_elim :premises (@p184)) % 1.72/2.00 (step @p186 :rule instantiate :premises (@p77) :args ((@list tptp.identity @t34 @t35))) % 1.72/2.00 (step @p187 :rule instantiate :premises (@p82) :args ((@list @t34 @t34 tptp.identity))) % 1.72/2.00 (step @p188 :rule instantiate :premises (@p82) :args ((@list @t33 @t33 @t30))) % 1.72/2.00 (step @p189 :rule instantiate :premises (@p63) :args ((@list @t32 tptp.identity))) % 1.72/2.00 (step @p190 :rule symm :premises (@p189)) % 1.72/2.00 (step @p191 :rule trans :premises (@p190 @p64)) % 1.72/2.00 (step @p192 :rule trans :premises (@p191 @p66)) % 1.72/2.00 (step @p193 :rule cong :premises (@p192 @p66) :args ((tptp.divide (tptp.divide @t115 @t32) @t115))) % 1.72/2.00 (step @p194 :rule instantiate :premises (@p59) :args ((@list tptp.a))) % 1.72/2.00 (step @p195 :rule symm :premises (@p194)) % 1.72/2.00 (step @p196 :rule trans :premises (@p195 @p64)) % 1.72/2.00 (step @p197 :rule symm :premises (@p191)) % 1.72/2.00 (step @p198 :rule symm :premises (@p97)) % 1.72/2.00 (step @p199 :rule trans :premises (@p198 @p64)) % 1.72/2.00 (step @p200 :rule trans :premises (@p199 @p197)) % 1.72/2.00 (step @p201 :rule cong :premises (@p200 @p196) :args ((tptp.divide @t78 @t77))) % 1.72/2.00 (step @p202 :rule instantiate :premises (@p63) :args ((@list @t77 tptp.a))) % 1.72/2.00 (step @p203 :rule trans :premises (@p202 @p201 @p193)) % 1.72/2.00 (step @p204 :rule cnf_or_pos :args (@t119)) % 1.72/2.00 (step @p205 :rule reordering :premises (@p204) :args ((or @t116 @t118 (not @t119)))) % 1.72/2.00 (step @p206 :rule chain_m_resolution :premises (@p205 @p203 @p188) :args (@t116 @t82 (@list @t117 @t119))) % 1.72/2.00 (step @p207 :rule cnf_or_pos :args (@t122)) % 1.72/2.00 (step @p208 :rule reordering :premises (@p207) :args ((or @t120 @t121 (not @t122)))) % 1.72/2.00 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p187) :args (@t120 @t82 (@list @t116 @t122))) % 1.72/2.00 (step @p210 :rule cnf_or_pos :args (@t126)) % 1.72/2.00 (step @p211 :rule reordering :premises (@p210) :args ((or @t125 @t124 (not @t126)))) % 1.72/2.00 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p186) :args (@t124 @t82 @t127)) % 1.72/2.00 (step @p213 :rule eq-symm :args (@t129 @t33)) % 1.72/2.00 (step @p214 :rule refl :args (@t131)) % 1.72/2.00 (step @p215 :rule refl :args (@t134)) % 1.72/2.00 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213) :args (@t135)) % 1.72/2.00 (step @p217 :rule cong :premises (@p22 @p216) :args ((=> @t43 @t135))) % 1.72/2.00 (assume-push @p329 @t43) % 1.72/2.00 (step @p219 :rule instantiate :premises (@p17) :args (@t136)) % 1.72/2.00 (step-pop @p330 :rule scope :premises (@p219)) % 1.72/2.00 (step @p220 :rule process_scope :premises (@p330) :args (@t135)) % 1.72/2.00 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 1.72/2.00 (step @p223 :rule implies_elim :premises (@p222)) % 1.72/2.00 (step @p224 :rule chain_m_resolution :premises (@p223 @p17) :args (@t138 @t46 @t47)) % 1.72/2.00 (step @p225 :rule refl :args (@t129)) % 1.72/2.00 (step @p226 :rule instantiate :premises (@p77) :args ((@list @t31 @t33 @t128))) % 1.72/2.00 (step @p227 :rule refl :args (@t128)) % 1.72/2.00 (step @p228 :rule instantiate :premises (@p63) :args ((@list tptp.identity @t30))) % 1.72/2.00 (step @p229 :rule symm :premises (@p228)) % 1.72/2.00 (step @p230 :rule trans :premises (@p229 @p60)) % 1.72/2.00 (step @p231 :rule refl :args (@t31)) % 1.72/2.00 (step @p232 :rule cong :premises (@p231 @p230) :args ((tptp.divide @t31 @t139))) % 1.72/2.00 (step @p233 :rule instantiate :premises (@p77) :args ((@list tptp.identity @t30 tptp.identity))) % 1.72/2.00 (step @p234 :rule cnf_or_pos :args (@t144)) % 1.72/2.00 (step @p235 :rule reordering :premises (@p234) :args ((or @t143 @t141 (not @t144)))) % 1.72/2.00 (step @p236 :rule chain_m_resolution :premises (@p235 @p228 @p233) :args (@t141 @t82 (@list @t142 @t144))) % 1.72/2.00 (step @p237 :rule symm :premises (@p236)) % 1.72/2.00 (step @p238 :rule trans :premises (@p237 @p228)) % 1.72/2.00 (step @p239 :rule cong :premises (@p231 @p238) :args ((tptp.divide @t31 @t140))) % 1.72/2.00 (step @p240 :rule trans :premises (@p239 @p232)) % 1.72/2.00 (step @p241 :rule symm :premises (@p239)) % 1.72/2.00 (step @p242 :rule instantiate :premises (@p63) :args ((@list @t30 @t33))) % 1.72/2.00 (step @p243 :rule symm :premises (@p242)) % 1.72/2.00 (step @p244 :rule trans :premises (@p243 @p228)) % 1.72/2.00 (step @p245 :rule cong :premises (@p231 @p244) :args (@t145)) % 1.72/2.00 (step @p246 :rule trans :premises (@p245 @p241)) % 1.72/2.00 (step @p247 :rule trans :premises (@p246 @p240)) % 1.72/2.00 (step @p248 :rule cong :premises (@p247 @p227) :args ((tptp.divide @t145 @t128))) % 1.72/2.00 (step @p249 :rule instantiate :premises (@p69) :args ((@list tptp.identity @t30 @t34))) % 1.72/2.00 (step @p250 :rule trans :premises (@p249 @p248)) % 1.72/2.00 (step @p251 :rule cnf_or_pos :args (@t148)) % 1.72/2.00 (step @p252 :rule reordering :premises (@p251) :args ((or @t147 @t133 (not @t148)))) % 1.72/2.00 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p226) :args (@t133 @t82 (@list @t146 @t148))) % 1.72/2.00 (step @p254 :rule symm :premises (@p253)) % 1.72/2.00 (step @p255 :rule trans :premises (@p254 @p64)) % 1.72/2.00 (step @p256 :rule trans :premises (@p255 @p66)) % 1.72/2.00 (step @p257 :rule cong :premises (@p256 @p225) :args ((tptp.divide @t132 @t129))) % 1.72/2.00 (step @p258 :rule instantiate :premises (@p63) :args (@t136)) % 1.72/2.00 (step @p259 :rule trans :premises (@p258 @p257)) % 1.72/2.00 (step @p260 :rule cnf_or_pos :args (@t138)) % 1.72/2.00 (step @p261 :rule reordering :premises (@p260) :args ((or @t134 @t131 @t137 (not @t138)))) % 1.72/2.00 (step @p262 :rule chain_m_resolution :premises (@p261 @p253 @p259 @p224) :args (@t137 @t88 (@list @t133 @t130 @t138))) % 1.72/2.00 (assume-push @p331 @t109) % 1.72/2.00 (assume-push @p332 @t149) % 1.72/2.00 (assume-push @p333 @t76) % 1.72/2.00 (assume-push @p334 @t74) % 1.72/2.00 (assume-push @p335 @t55) % 1.72/2.00 (assume-push @p336 @t103) % 1.72/2.00 (assume-push @p337 @t137) % 1.72/2.00 (assume-push @p338 @t124) % 1.72/2.00 (assume-push @p339 (= @t129 @t39)) % 1.72/2.00 (assume-push @p340 @t137) % 1.72/2.00 (assume-push @p341 @t149) % 1.72/2.00 (step @p274 :rule refl :args (@t36)) % 1.72/2.00 (step @p275 :rule cong :premises (@p274 @p179) :args (@t123)) % 1.72/2.00 (step @p276 :rule chain_m_resolution :premises (@p211 @p209 @p186) :args (@t124 @t82 @t127)) % 1.72/2.00 (step @p277 :rule symm :premises (@p60)) % 1.72/2.00 (step @p278 :rule symm :premises (@p262)) % 1.72/2.00 (step @p279 :rule trans :premises (@p278 @p277 @p276 @p275)) % 1.72/2.00 (step @p280 :rule trans :premises (@p60 @p262 @p279)) % 1.72/2.00 (step-pop @p342 :rule scope :premises (@p280)) % 1.72/2.00 (step-pop @p343 :rule scope :premises (@p342)) % 1.72/2.00 (step-pop @p344 :rule scope :premises (@p343)) % 1.72/2.00 (step @p281 :rule process_scope :premises (@p344) :args (@t40)) % 1.72/2.00 (step @p274 :rule refl :args (@t36)) % 1.72/2.00 (step @p275 :rule cong :premises (@p274 @p179) :args (@t123)) % 1.72/2.00 (step @p278 :rule symm :premises (@p262)) % 1.72/2.00 (step @p285 :rule trans :premises (@p278 @p101 @p212 @p275)) % 1.72/2.00 (step @p286 :rule and_intro :premises (@p285 @p262 @p60)) % 1.72/2.00 (step @p287 :rule modus_ponens :premises (@p286 @p281)) % 1.72/2.00 (step-pop @p345 :rule scope :premises (@p287)) % 1.72/2.00 (step-pop @p346 :rule scope :premises (@p345)) % 1.72/2.00 (step-pop @p347 :rule scope :premises (@p346)) % 1.72/2.00 (step-pop @p348 :rule scope :premises (@p347)) % 1.72/2.00 (step-pop @p349 :rule scope :premises (@p348)) % 1.72/2.00 (step-pop @p350 :rule scope :premises (@p349)) % 1.72/2.00 (step-pop @p351 :rule scope :premises (@p350)) % 1.72/2.00 (step-pop @p352 :rule scope :premises (@p351)) % 1.72/2.00 (step @p288 :rule process_scope :premises (@p352) :args (@t40)) % 1.72/2.00 (step @p297 :rule implies_elim :premises (@p288)) % 1.72/2.00 (step @p298 :rule cnf_and_neg :args (@t150)) % 1.72/2.00 (step @p299 :rule resolution :premises (@p298 @p297) :args (true @t150)) % 1.72/2.00 (step @p300 :rule reordering :premises (@p299) :args ((or @t110 (not @t149) (not @t76) (not @t74) (not @t55) (not @t103) (not @t137) @t40 (not @t124)))) % 1.72/2.00 (step @p301 :rule chain_m_resolution :premises (@p300 @p155 @p60 @p100 @p114 @p141 @p177 @p262 @p212) :args (@t40 (@list false false false false false false false false) (@list @t109 @t149 @t76 @t74 @t55 @t103 @t137 @t124))) % 1.72/2.00 (step @p302 :rule trans :premises (@p156 @p60)) % 1.72/2.00 (step @p303 :rule cong :premises (@p158 @p302) :args (@t106)) % 1.72/2.00 (step @p304 :rule symm :premises (@p100)) % 1.72/2.00 (step @p305 :rule trans :premises (@p114 @p304 @p155)) % 1.72/2.00 (step @p306 :rule cong :premises (@p158 @p305) :args (@t97)) % 1.72/2.00 (step @p307 :rule trans :premises (@p141 @p177 @p306 @p303)) % 1.72/2.00 (step @p308 :rule cong :premises (@p180 @p307) :args (@t31)) % 1.72/2.00 (step @p309 :rule cong :premises (@p180 @p308) :args (@t32)) % 1.72/2.00 (step @p310 :rule cong :premises (@p158 @p309) :args (@t151)) % 1.72/2.00 (step @p311 :rule instantiate :premises (@p82) :args ((@list @t31 tptp.a tptp.identity))) % 1.72/2.00 (step @p312 :rule cnf_or_pos :args (@t154)) % 1.72/2.00 (step @p313 :rule reordering :premises (@p312) :args ((or @t153 @t152 (not @t154)))) % 1.72/2.00 (step @p314 :rule chain_m_resolution :premises (@p313 @p122 @p311) :args (@t152 @t82 (@list @t94 @t154))) % 1.72/2.00 (step @p315 :rule trans :premises (@p314 @p310)) % 1.72/2.00 (step @p316 :rule cnf_or_pos :args (@t45)) % 1.72/2.00 (step @p317 :rule reordering :premises (@p316) :args ((or @t41 @t38 @t44 (not @t45)))) % 1.72/2.00 (step @p318 false :rule chain_m_resolution :premises (@p317 @p315 @p301 @p185 @p30) :args (false (@list false false true false) (@list @t37 @t40 @t44 @t45))) % 1.72/2.00 ) % 1.72/2.01 % SZS output end Proof % 1.72/2.01 % cvc5 exiting %------------------------------------------------------------------------------