%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE054+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:28:13 AM UTC 2026 % Result : Theorem 16.12s 16.32s % Output : Proof 16.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE054+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:11:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.12/16.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.12/16.32 --- Run --no-e-matching --full-saturate-quant at 6... % 16.12/16.32 % SZS status Theorem % 16.12/16.32 % SZS output start Proof % 16.12/16.32 ( % 16.12/16.32 (declare-sort $$unsorted 0) % 16.12/16.32 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 16.12/16.32 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.32 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 16.12/16.32 (declare-const tptp.zero $$unsorted) % 16.12/16.32 (declare-const tptp.one $$unsorted) % 16.12/16.32 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 16.12/16.32 (define @t1 () (@var "A" $$unsorted)) % 16.12/16.32 (define @t2 () (@var "B" $$unsorted)) % 16.12/16.32 (define @t3 () (tptp.addition @t1 @t2)) % 16.12/16.32 (define @t4 () (@list @t1 @t2)) % 16.12/16.32 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 16.12/16.32 (define @t6 () (@var "C" $$unsorted)) % 16.12/16.32 (define @t7 () (tptp.addition @t2 @t6)) % 16.12/16.32 (define @t8 () (tptp.addition @t1 tptp.zero)) % 16.12/16.32 (define @t9 () (@list @t1)) % 16.12/16.32 (define @t10 () (forall @t9 (= @t8 @t1))) % 16.12/16.32 (define @t11 () (tptp.multiplication @t1 @t2)) % 16.12/16.32 (define @t12 () (tptp.multiplication @t2 @t6)) % 16.12/16.32 (define @t13 () (@list @t1 @t2 @t6)) % 16.12/16.32 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 16.12/16.32 (define @t15 () (forall @t9 (= @t14 @t1))) % 16.12/16.32 (define @t16 () (tptp.multiplication tptp.one @t1)) % 16.12/16.32 (define @t17 () (forall @t9 (= @t16 @t1))) % 16.12/16.32 (define @t18 () (tptp.multiplication @t1 @t6)) % 16.12/16.32 (define @t19 () (@var "X0" $$unsorted)) % 16.12/16.32 (define @t20 () (tptp.domain @t19)) % 16.12/16.32 (define @t21 () (tptp.multiplication @t20 @t19)) % 16.12/16.32 (define @t22 () (tptp.addition @t19 @t21)) % 16.12/16.32 (define @t23 () (@list @t19)) % 16.12/16.32 (define @t24 () (forall @t23 (= @t22 @t21))) % 16.12/16.32 (define @t25 () (@var "X1" $$unsorted)) % 16.12/16.32 (define @t26 () (tptp.domain @t25)) % 16.12/16.32 (define @t27 () (tptp.domain (tptp.multiplication @t19 @t25))) % 16.12/16.32 (define @t28 () (@list @t19 @t25)) % 16.12/16.32 (define @t29 () (forall @t28 (= @t27 (tptp.domain (tptp.multiplication @t19 @t26))))) % 16.12/16.32 (define @t30 () (tptp.addition @t20 tptp.one)) % 16.12/16.32 (define @t31 () (forall @t23 (= @t30 tptp.one))) % 16.12/16.32 (define @t32 () (tptp.addition @t27 @t20)) % 16.12/16.32 (define @t33 () (forall @t28 (= @t32 @t20))) % 16.12/16.32 (define @t34 () (not @t33)) % 16.12/16.32 (define @t35 () (forall @t28 (= @t20 @t32))) % 16.12/16.32 (define @t36 () (@quantifiers_skolemize @t35 0)) % 16.12/16.32 (define @t37 () (@list @t36)) % 16.12/16.32 (define @t38 () (tptp.domain @t36)) % 16.12/16.32 (define @t39 () (@list @t38)) % 16.12/16.32 (define @t40 () (@quantifiers_skolemize @t35 1)) % 16.12/16.32 (define @t41 () (tptp.multiplication @t36 @t40)) % 16.12/16.32 (define @t42 () (@list @t41)) % 16.12/16.32 (define @t43 () (tptp.domain @t41)) % 16.12/16.32 (define @t44 () (tptp.addition @t38 @t43)) % 16.12/16.32 (define @t45 () (tptp.addition @t43 @t38)) % 16.12/16.32 (define @t46 () (= @t44 @t45)) % 16.12/16.32 (define @t47 () (@list @t38 @t43)) % 16.12/16.32 (define @t48 () (= @t45 @t44)) % 16.12/16.32 (define @t49 () (@list false)) % 16.12/16.32 (define @t50 () (@list tptp.one)) % 16.12/16.32 (define @t51 () (tptp.domain tptp.one)) % 16.12/16.32 (define @t52 () (tptp.domain @t43)) % 16.12/16.32 (define @t53 () (tptp.multiplication @t38 @t41)) % 16.12/16.32 (define @t54 () (tptp.domain @t53)) % 16.12/16.32 (define @t55 () (tptp.multiplication @t38 @t43)) % 16.12/16.32 (define @t56 () (tptp.domain @t55)) % 16.12/16.32 (define @t57 () (= @t54 @t56)) % 16.12/16.32 (define @t58 () (= @t56 @t54)) % 16.12/16.32 (define @t59 () (tptp.multiplication @t38 @t38)) % 16.12/16.32 (define @t60 () (tptp.domain @t59)) % 16.12/16.32 (define @t61 () (tptp.addition @t60 @t56)) % 16.12/16.32 (define @t62 () (tptp.addition @t59 @t55)) % 16.12/16.32 (define @t63 () (tptp.domain @t62)) % 16.12/16.32 (define @t64 () (= @t63 @t61)) % 16.12/16.32 (define @t65 () (not @t64)) % 16.12/16.32 (define @t66 () (tptp.multiplication @t38 @t36)) % 16.12/16.32 (define @t67 () (tptp.multiplication @t66 @t40)) % 16.12/16.32 (define @t68 () (= @t53 @t67)) % 16.12/16.32 (define @t69 () (not @t68)) % 16.12/16.32 (define @t70 () (not @t58)) % 16.12/16.32 (define @t71 () (tptp.addition @t51 @t52)) % 16.12/16.32 (define @t72 () (tptp.multiplication @t38 @t71)) % 16.12/16.32 (define @t73 () (= @t72 (tptp.addition (tptp.multiplication @t38 @t51) (tptp.multiplication @t38 @t52)))) % 16.12/16.32 (define @t74 () (not @t73)) % 16.12/16.32 (define @t75 () (tptp.addition @t43 tptp.one)) % 16.12/16.32 (define @t76 () (= @t75 (tptp.addition tptp.one @t43))) % 16.12/16.32 (define @t77 () (not @t76)) % 16.12/16.32 (define @t78 () (tptp.multiplication tptp.one @t36)) % 16.12/16.32 (define @t79 () (tptp.addition tptp.one @t38)) % 16.12/16.32 (define @t80 () (tptp.multiplication @t79 @t36)) % 16.12/16.32 (define @t81 () (= @t80 (tptp.addition @t78 @t66))) % 16.12/16.32 (define @t82 () (not @t81)) % 16.12/16.32 (define @t83 () (tptp.multiplication @t38 tptp.one)) % 16.12/16.32 (define @t84 () (tptp.multiplication @t38 @t79)) % 16.12/16.32 (define @t85 () (= @t84 (tptp.addition @t83 @t59))) % 16.12/16.32 (define @t86 () (not @t85)) % 16.12/16.32 (define @t87 () (tptp.addition @t38 tptp.one)) % 16.12/16.32 (define @t88 () (= @t87 @t79)) % 16.12/16.32 (define @t89 () (not @t88)) % 16.12/16.32 (define @t90 () (tptp.addition @t51 tptp.one)) % 16.12/16.32 (define @t91 () (= @t90 (tptp.addition tptp.one @t51))) % 16.12/16.32 (define @t92 () (not @t91)) % 16.12/16.32 (define @t93 () (tptp.multiplication @t51 tptp.one)) % 16.12/16.32 (define @t94 () (= @t51 @t93)) % 16.12/16.32 (define @t95 () (not @t94)) % 16.12/16.32 (define @t96 () (= tptp.one @t90)) % 16.12/16.32 (define @t97 () (not @t96)) % 16.12/16.32 (define @t98 () (tptp.addition tptp.one @t93)) % 16.12/16.32 (define @t99 () (= @t93 @t98)) % 16.12/16.32 (define @t100 () (not @t99)) % 16.12/16.32 (define @t101 () (not @t48)) % 16.12/16.32 (define @t102 () (tptp.multiplication tptp.one @t43)) % 16.12/16.32 (define @t103 () (tptp.multiplication tptp.one @t41)) % 16.12/16.32 (define @t104 () (tptp.domain @t103)) % 16.12/16.32 (define @t105 () (= @t104 (tptp.domain @t102))) % 16.12/16.32 (define @t106 () (not @t105)) % 16.12/16.32 (define @t107 () (= @t43 @t102)) % 16.12/16.32 (define @t108 () (not @t107)) % 16.12/16.32 (define @t109 () (= tptp.one @t75)) % 16.12/16.32 (define @t110 () (not @t109)) % 16.12/16.32 (define @t111 () (= @t41 @t103)) % 16.12/16.32 (define @t112 () (not @t111)) % 16.12/16.32 (define @t113 () (tptp.addition @t41 tptp.zero)) % 16.12/16.32 (define @t114 () (= @t41 @t113)) % 16.12/16.32 (define @t115 () (not @t114)) % 16.12/16.32 (define @t116 () (tptp.addition tptp.zero @t41)) % 16.12/16.32 (define @t117 () (= @t116 @t113)) % 16.12/16.32 (define @t118 () (not @t117)) % 16.12/16.32 (define @t119 () (tptp.multiplication tptp.one @t38)) % 16.12/16.32 (define @t120 () (tptp.domain @t78)) % 16.12/16.32 (define @t121 () (= @t120 (tptp.domain @t119))) % 16.12/16.32 (define @t122 () (not @t121)) % 16.12/16.32 (define @t123 () (tptp.domain @t38)) % 16.12/16.32 (define @t124 () (tptp.multiplication @t123 @t38)) % 16.12/16.32 (define @t125 () (tptp.addition @t38 @t124)) % 16.12/16.32 (define @t126 () (= @t124 @t125)) % 16.12/16.32 (define @t127 () (not @t126)) % 16.12/16.32 (define @t128 () (= @t38 @t119)) % 16.12/16.32 (define @t129 () (not @t128)) % 16.12/16.32 (define @t130 () (= @t38 @t83)) % 16.12/16.32 (define @t131 () (not @t130)) % 16.12/16.32 (define @t132 () (= tptp.one @t87)) % 16.12/16.32 (define @t133 () (not @t132)) % 16.12/16.32 (define @t134 () (tptp.addition @t36 @t66)) % 16.12/16.32 (define @t135 () (= @t66 @t134)) % 16.12/16.32 (define @t136 () (not @t135)) % 16.12/16.32 (define @t137 () (= @t36 @t78)) % 16.12/16.32 (define @t138 () (not @t137)) % 16.12/16.32 (define @t139 () (tptp.addition @t36 tptp.zero)) % 16.12/16.32 (define @t140 () (= @t36 @t139)) % 16.12/16.32 (define @t141 () (not @t140)) % 16.12/16.32 (define @t142 () (tptp.addition tptp.zero @t36)) % 16.12/16.32 (define @t143 () (= @t142 @t139)) % 16.12/16.32 (define @t144 () (not @t143)) % 16.12/16.32 (define @t145 () (= @t38 @t45)) % 16.12/16.32 (define @t146 () (not @t145)) % 16.12/16.32 (define @t147 () (tptp.domain @t116)) % 16.12/16.32 (define @t148 () (tptp.domain @t142)) % 16.12/16.32 (define @t149 () (and @t64 @t65)) % 16.12/16.32 (assume @p1 @t5) % 16.12/16.32 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 16.12/16.32 (assume @p3 @t10) % 16.12/16.32 (assume @p4 (forall @t9 (= (tptp.addition @t1 @t1) @t1))) % 16.12/16.32 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t6)))) % 16.12/16.32 (assume @p6 @t15) % 16.12/16.32 (assume @p7 @t17) % 16.12/16.32 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t7) (tptp.addition @t11 @t18)))) % 16.12/16.32 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t6) (tptp.addition @t18 @t12)))) % 16.12/16.32 (assume @p10 (forall @t9 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 16.12/16.32 (assume @p11 (forall @t9 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 16.12/16.32 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 16.12/16.32 (assume @p13 @t24) % 16.12/16.32 (assume @p14 @t29) % 16.12/16.32 (assume @p15 @t31) % 16.12/16.32 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 16.12/16.32 (assume @p17 (forall @t28 (= (tptp.domain (tptp.addition @t19 @t25)) (tptp.addition @t20 @t26)))) % 16.12/16.32 (assume @p18 @t34) % 16.12/16.32 (assume @p19 true) % 16.12/16.32 (step @p20 :rule eq-symm :args (@t32 @t20)) % 16.12/16.32 (step @p21 :rule cong :premises (@p20) :args (@t33)) % 16.12/16.32 (step @p22 :rule cong :premises (@p21) :args (@t34)) % 16.12/16.32 (step @p23 :rule eq_resolve :premises (@p18 @p22)) % 16.12/16.32 (step @p24 :rule skolemize :premises (@p23)) % 16.12/16.32 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t36))) % 16.12/16.32 (step @p26 :rule eq-symm :args (@t8 @t1)) % 16.12/16.32 (step @p27 :rule cong :premises (@p26) :args (@t10)) % 16.12/16.32 (step @p28 :rule eq_resolve :premises (@p3 @p27)) % 16.12/16.32 (step @p29 :rule instantiate :premises (@p28) :args (@t37)) % 16.12/16.32 (step @p30 :rule eq-symm :args (@t16 @t1)) % 16.12/16.32 (step @p31 :rule cong :premises (@p30) :args (@t17)) % 16.12/16.32 (step @p32 :rule eq_resolve :premises (@p7 @p31)) % 16.12/16.32 (step @p33 :rule instantiate :premises (@p32) :args (@t37)) % 16.12/16.32 (step @p34 :rule eq-symm :args (@t22 @t21)) % 16.12/16.32 (step @p35 :rule cong :premises (@p34) :args (@t24)) % 16.12/16.32 (step @p36 :rule eq_resolve :premises (@p13 @p35)) % 16.12/16.32 (step @p37 :rule instantiate :premises (@p36) :args (@t37)) % 16.12/16.32 (step @p38 :rule eq-symm :args (@t30 tptp.one)) % 16.12/16.32 (step @p39 :rule cong :premises (@p38) :args (@t31)) % 16.12/16.32 (step @p40 :rule eq_resolve :premises (@p15 @p39)) % 16.12/16.32 (step @p41 :rule instantiate :premises (@p40) :args (@t37)) % 16.12/16.32 (step @p42 :rule eq-symm :args (@t14 @t1)) % 16.12/16.32 (step @p43 :rule cong :premises (@p42) :args (@t15)) % 16.12/16.32 (step @p44 :rule eq_resolve :premises (@p6 @p43)) % 16.12/16.32 (step @p45 :rule instantiate :premises (@p44) :args (@t39)) % 16.12/16.32 (step @p46 :rule instantiate :premises (@p32) :args (@t39)) % 16.12/16.32 (step @p47 :rule instantiate :premises (@p36) :args (@t39)) % 16.12/16.32 (step @p48 :rule instantiate :premises (@p14) :args ((@list tptp.one @t36))) % 16.12/16.32 (step @p49 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t41))) % 16.12/16.32 (step @p50 :rule instantiate :premises (@p28) :args (@t42)) % 16.12/16.32 (step @p51 :rule instantiate :premises (@p32) :args (@t42)) % 16.12/16.32 (step @p52 :rule instantiate :premises (@p40) :args (@t42)) % 16.12/16.32 (step @p53 :rule instantiate :premises (@p32) :args ((@list @t43))) % 16.12/16.32 (step @p54 :rule instantiate :premises (@p14) :args ((@list tptp.one @t41))) % 16.12/16.32 (step @p55 :rule eq-symm :args (@t44 @t45)) % 16.12/16.32 (step @p56 :rule refl :args (@t5)) % 16.12/16.32 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t5 @t46))) % 16.12/16.32 (assume-push @p264 @t5) % 16.12/16.32 (step @p59 :rule instantiate :premises (@p1) :args (@t47)) % 16.12/16.32 (step-pop @p265 :rule scope :premises (@p59)) % 16.12/16.32 (step @p60 :rule process_scope :premises (@p265) :args (@t46)) % 16.12/16.32 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 16.12/16.32 (step @p63 :rule implies_elim :premises (@p62)) % 16.12/16.32 (step @p64 :rule chain_m_resolution :premises (@p63 @p1) :args (@t48 @t49 (@list @t5))) % 16.12/16.32 (step @p65 :rule instantiate :premises (@p36) :args (@t50)) % 16.12/16.32 (step @p66 :rule instantiate :premises (@p40) :args (@t50)) % 16.12/16.32 (step @p67 :rule instantiate :premises (@p44) :args ((@list @t51))) % 16.12/16.32 (step @p68 :rule instantiate :premises (@p1) :args ((@list @t51 tptp.one))) % 16.12/16.32 (step @p69 :rule instantiate :premises (@p1) :args ((@list @t38 tptp.one))) % 16.12/16.32 (step @p70 :rule instantiate :premises (@p8) :args ((@list @t38 tptp.one @t38))) % 16.12/16.32 (step @p71 :rule instantiate :premises (@p9) :args ((@list tptp.one @t38 @t36))) % 16.12/16.32 (step @p72 :rule instantiate :premises (@p1) :args ((@list @t43 tptp.one))) % 16.12/16.32 (step @p73 :rule instantiate :premises (@p8) :args ((@list @t38 @t51 @t52))) % 16.12/16.32 (step @p74 :rule eq-symm :args (@t54 @t56)) % 16.12/16.32 (step @p75 :rule refl :args (@t29)) % 16.12/16.32 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t29 @t57))) % 16.12/16.32 (assume-push @p266 @t29) % 16.12/16.32 (step @p78 :rule instantiate :premises (@p14) :args ((@list @t38 @t41))) % 16.12/16.32 (step-pop @p267 :rule scope :premises (@p78)) % 16.12/16.32 (step @p79 :rule process_scope :premises (@p267) :args (@t57)) % 16.12/16.32 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 16.12/16.32 (step @p82 :rule implies_elim :premises (@p81)) % 16.12/16.32 (step @p83 :rule chain_m_resolution :premises (@p82 @p14) :args (@t58 @t49 (@list @t29))) % 16.12/16.32 (step @p84 :rule instantiate :premises (@p5) :args ((@list @t38 @t36 @t40))) % 16.12/16.32 (step @p85 :rule instantiate :premises (@p17) :args ((@list @t59 @t55))) % 16.12/16.32 (step @p86 :rule refl :args (@t65)) % 16.12/16.32 (step @p87 :rule refl :args (@t69)) % 16.12/16.32 (step @p88 :rule refl :args (@t70)) % 16.12/16.32 (step @p89 :rule refl :args (@t74)) % 16.12/16.32 (step @p90 :rule refl :args (@t77)) % 16.12/16.32 (step @p91 :rule refl :args (@t82)) % 16.12/16.32 (step @p92 :rule refl :args (@t86)) % 16.12/16.32 (step @p93 :rule refl :args (@t89)) % 16.12/16.32 (step @p94 :rule refl :args (@t92)) % 16.12/16.32 (step @p95 :rule refl :args (@t95)) % 16.12/16.32 (step @p96 :rule refl :args (@t97)) % 16.12/16.32 (step @p97 :rule refl :args (@t100)) % 16.12/16.32 (step @p98 :rule refl :args (@t101)) % 16.12/16.32 (step @p99 :rule refl :args (@t106)) % 16.12/16.32 (step @p100 :rule refl :args (@t108)) % 16.12/16.32 (step @p101 :rule refl :args (@t110)) % 16.12/16.32 (step @p102 :rule refl :args (@t112)) % 16.12/16.32 (step @p103 :rule refl :args (@t115)) % 16.12/16.32 (step @p104 :rule refl :args (@t118)) % 16.12/16.32 (step @p105 :rule refl :args (@t122)) % 16.12/16.32 (step @p106 :rule refl :args (@t127)) % 16.12/16.32 (step @p107 :rule refl :args (@t129)) % 16.12/16.32 (step @p108 :rule refl :args (@t131)) % 16.12/16.32 (step @p109 :rule refl :args (@t133)) % 16.12/16.32 (step @p110 :rule refl :args (@t136)) % 16.12/16.32 (step @p111 :rule refl :args (@t138)) % 16.12/16.32 (step @p112 :rule refl :args (@t141)) % 16.12/16.32 (step @p113 :rule refl :args (@t144)) % 16.12/16.33 (step @p114 :rule bool-double-not-elim :args (@t145)) % 16.12/16.33 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86) :args ((or (not @t146) @t144 @t141 @t138 @t136 @t133 @t131 @t129 @t127 @t122 @t118 @t115 @t112 @t110 @t108 @t106 @t101 @t100 @t97 @t95 @t92 @t89 @t86 @t82 @t77 @t74 @t70 @t69 @t65))) % 16.12/16.33 (assume-push @p268 @t64) % 16.12/16.33 (assume-push @p269 @t65) % 16.12/16.33 (step @p118 :rule evaluate :args ((= false true))) % 16.12/16.33 (step @p119 :rule true_intro :premises (@p85)) % 16.12/16.33 (step @p120 :rule false_intro :premises (@p24)) % 16.12/16.33 (step @p59 :rule instantiate :premises (@p1) :args (@t47)) % 16.12/16.33 (step @p121 :rule symm :premises (@p50)) % 16.12/16.33 (step @p122 :rule trans :premises (@p49 @p121)) % 16.12/16.33 (step @p123 :rule cong :premises (@p122) :args (@t147)) % 16.12/16.33 (step @p124 :rule symm :premises (@p49)) % 16.12/16.33 (step @p125 :rule refl :args (@t40)) % 16.12/16.33 (step @p126 :rule symm :premises (@p33)) % 16.12/16.33 (step @p127 :rule refl :args (@t36)) % 16.12/16.33 (step @p128 :rule symm :premises (@p41)) % 16.12/16.33 (step @p129 :rule symm :premises (@p69)) % 16.12/16.33 (step @p130 :rule trans :premises (@p129 @p128)) % 16.12/16.33 (step @p131 :rule cong :premises (@p130 @p127) :args (@t80)) % 16.12/16.33 (step @p132 :rule symm :premises (@p71)) % 16.12/16.33 (step @p133 :rule refl :args (@t66)) % 16.12/16.33 (step @p134 :rule cong :premises (@p33 @p133) :args (@t134)) % 16.12/16.33 (step @p135 :rule trans :premises (@p37 @p134 @p132 @p131 @p126)) % 16.12/16.33 (step @p136 :rule cong :premises (@p135 @p125) :args (@t67)) % 16.12/16.33 (step @p137 :rule trans :premises (@p84 @p136 @p50 @p124)) % 16.12/16.33 (step @p138 :rule cong :premises (@p137) :args (@t54)) % 16.12/16.33 (step @p139 :rule trans :premises (@p83 @p138 @p123)) % 16.12/16.33 (step @p140 :rule symm :premises (@p29)) % 16.12/16.33 (step @p141 :rule trans :premises (@p25 @p140)) % 16.12/16.33 (step @p142 :rule cong :premises (@p141) :args (@t148)) % 16.12/16.33 (step @p143 :rule symm :premises (@p25)) % 16.12/16.33 (step @p144 :rule trans :premises (@p126 @p29 @p143)) % 16.12/16.33 (step @p145 :rule cong :premises (@p144) :args (@t120)) % 16.12/16.33 (step @p146 :rule symm :premises (@p48)) % 16.12/16.33 (step @p147 :rule cong :premises (@p46) :args (@t123)) % 16.12/16.33 (step @p148 :rule symm :premises (@p45)) % 16.12/16.33 (step @p149 :rule refl :args (@t38)) % 16.12/16.33 (step @p150 :rule cong :premises (@p149 @p130) :args (@t84)) % 16.12/16.33 (step @p151 :rule symm :premises (@p70)) % 16.12/16.33 (step @p152 :rule trans :premises (@p147 @p146 @p145 @p142)) % 16.12/16.33 (step @p153 :rule cong :premises (@p152 @p149) :args (@t124)) % 16.12/16.33 (step @p154 :rule cong :premises (@p45 @p153) :args (@t125)) % 16.12/16.33 (step @p155 :rule symm :premises (@p153)) % 16.12/16.33 (step @p156 :rule trans :premises (@p155 @p47 @p154 @p151 @p150 @p148)) % 16.12/16.33 (step @p157 :rule cong :premises (@p156) :args (@t60)) % 16.12/16.33 (step @p158 :rule trans :premises (@p157 @p147 @p146 @p145 @p142)) % 16.12/16.33 (step @p159 :rule cong :premises (@p158 @p139) :args (@t61)) % 16.12/16.33 (step @p160 :rule trans :premises (@p159 @p59)) % 16.12/16.33 (step @p161 :rule symm :premises (@p52)) % 16.12/16.33 (step @p162 :rule symm :premises (@p72)) % 16.12/16.33 (step @p163 :rule symm :premises (@p51)) % 16.12/16.33 (step @p164 :rule trans :premises (@p163 @p50 @p124)) % 16.12/16.33 (step @p165 :rule cong :premises (@p164) :args (@t104)) % 16.12/16.33 (step @p166 :rule symm :premises (@p54)) % 16.12/16.33 (step @p167 :rule cong :premises (@p53) :args (@t52)) % 16.12/16.33 (step @p168 :rule trans :premises (@p167 @p166 @p165 @p123)) % 16.12/16.33 (step @p169 :rule symm :premises (@p66)) % 16.12/16.33 (step @p170 :rule symm :premises (@p68)) % 16.12/16.33 (step @p171 :rule symm :premises (@p67)) % 16.12/16.33 (step @p172 :rule refl :args (tptp.one)) % 16.12/16.33 (step @p173 :rule cong :premises (@p172 @p171) :args (@t98)) % 16.12/16.33 (step @p174 :rule trans :premises (@p67 @p65 @p173 @p170 @p169)) % 16.12/16.33 (step @p175 :rule cong :premises (@p174 @p168) :args (@t71)) % 16.12/16.33 (step @p176 :rule trans :premises (@p175 @p162 @p161)) % 16.12/16.33 (step @p177 :rule cong :premises (@p149 @p176) :args (@t72)) % 16.12/16.33 (step @p178 :rule symm :premises (@p73)) % 16.12/16.33 (step @p179 :rule symm :premises (@p168)) % 16.12/16.33 (step @p180 :rule cong :premises (@p149 @p179) :args (@t55)) % 16.12/16.33 (step @p181 :rule symm :premises (@p174)) % 16.12/16.33 (step @p182 :rule cong :premises (@p149 @p181) :args (@t83)) % 16.12/16.33 (step @p183 :rule trans :premises (@p45 @p182)) % 16.12/16.33 (step @p184 :rule trans :premises (@p156 @p183)) % 16.12/16.33 (step @p185 :rule cong :premises (@p184 @p180) :args (@t62)) % 16.12/16.33 (step @p186 :rule trans :premises (@p185 @p178 @p177 @p148)) % 16.12/16.33 (step @p187 :rule cong :premises (@p186) :args (@t63)) % 16.12/16.33 (step @p188 :rule trans :premises (@p187 @p147 @p146 @p145 @p142)) % 16.12/16.33 (step @p189 :rule cong :premises (@p188 @p160) :args (@t64)) % 16.12/16.33 (step @p190 :rule trans :premises (@p189 @p120)) % 16.12/16.33 (step @p191 :rule symm :premises (@p190)) % 16.12/16.33 (step @p192 :rule trans :premises (@p191 @p119)) % 16.12/16.33 (step @p193 false :rule eq_resolve :premises (@p192 @p118)) % 16.12/16.33 (step-pop @p270 :rule scope :premises (@p193)) % 16.12/16.33 (step-pop @p271 :rule scope :premises (@p270)) % 16.12/16.33 (step @p194 :rule process_scope :premises (@p271) :args (false)) % 16.12/16.33 (assume-push @p272 @t146) % 16.12/16.33 (assume-push @p273 @t143) % 16.12/16.33 (assume-push @p274 @t140) % 16.12/16.33 (assume-push @p275 @t137) % 16.12/16.33 (assume-push @p276 @t135) % 16.12/16.33 (assume-push @p277 @t132) % 16.12/16.33 (assume-push @p278 @t130) % 16.12/16.33 (assume-push @p279 @t128) % 16.12/16.33 (assume-push @p280 @t126) % 16.12/16.33 (assume-push @p281 @t121) % 16.12/16.33 (assume-push @p282 @t117) % 16.12/16.33 (assume-push @p283 @t114) % 16.12/16.33 (assume-push @p284 @t111) % 16.12/16.33 (assume-push @p285 @t109) % 16.12/16.33 (assume-push @p286 @t107) % 16.12/16.33 (assume-push @p287 @t105) % 16.12/16.33 (assume-push @p288 @t48) % 16.12/16.33 (assume-push @p289 @t99) % 16.12/16.33 (assume-push @p290 @t96) % 16.12/16.33 (assume-push @p291 @t94) % 16.12/16.33 (assume-push @p292 @t91) % 16.12/16.33 (assume-push @p293 @t88) % 16.12/16.33 (assume-push @p294 @t85) % 16.12/16.33 (assume-push @p295 @t81) % 16.12/16.33 (assume-push @p296 @t76) % 16.12/16.33 (assume-push @p297 @t73) % 16.12/16.33 (assume-push @p298 @t58) % 16.12/16.33 (assume-push @p299 @t68) % 16.12/16.33 (assume-push @p300 @t64) % 16.12/16.33 (step @p120 :rule false_intro :premises (@p24)) % 16.12/16.33 (step @p59 :rule instantiate :premises (@p1) :args (@t47)) % 16.12/16.33 (step @p121 :rule symm :premises (@p50)) % 16.12/16.33 (step @p122 :rule trans :premises (@p49 @p121)) % 16.12/16.33 (step @p123 :rule cong :premises (@p122) :args (@t147)) % 16.12/16.33 (step @p124 :rule symm :premises (@p49)) % 16.12/16.33 (step @p125 :rule refl :args (@t40)) % 16.12/16.33 (step @p126 :rule symm :premises (@p33)) % 16.12/16.33 (step @p127 :rule refl :args (@t36)) % 16.12/16.33 (step @p128 :rule symm :premises (@p41)) % 16.12/16.33 (step @p129 :rule symm :premises (@p69)) % 16.12/16.33 (step @p130 :rule trans :premises (@p129 @p128)) % 16.12/16.33 (step @p131 :rule cong :premises (@p130 @p127) :args (@t80)) % 16.12/16.33 (step @p132 :rule symm :premises (@p71)) % 16.12/16.33 (step @p133 :rule refl :args (@t66)) % 16.12/16.33 (step @p134 :rule cong :premises (@p33 @p133) :args (@t134)) % 16.12/16.33 (step @p135 :rule trans :premises (@p37 @p134 @p132 @p131 @p126)) % 16.12/16.33 (step @p136 :rule cong :premises (@p135 @p125) :args (@t67)) % 16.12/16.33 (step @p137 :rule trans :premises (@p84 @p136 @p50 @p124)) % 16.12/16.33 (step @p138 :rule cong :premises (@p137) :args (@t54)) % 16.12/16.33 (step @p139 :rule trans :premises (@p83 @p138 @p123)) % 16.12/16.33 (step @p140 :rule symm :premises (@p29)) % 16.12/16.33 (step @p141 :rule trans :premises (@p25 @p140)) % 16.12/16.33 (step @p142 :rule cong :premises (@p141) :args (@t148)) % 16.12/16.33 (step @p143 :rule symm :premises (@p25)) % 16.12/16.33 (step @p144 :rule trans :premises (@p126 @p29 @p143)) % 16.12/16.33 (step @p145 :rule cong :premises (@p144) :args (@t120)) % 16.12/16.33 (step @p146 :rule symm :premises (@p48)) % 16.12/16.33 (step @p147 :rule cong :premises (@p46) :args (@t123)) % 16.12/16.33 (step @p148 :rule symm :premises (@p45)) % 16.12/16.33 (step @p149 :rule refl :args (@t38)) % 16.12/16.33 (step @p150 :rule cong :premises (@p149 @p130) :args (@t84)) % 16.12/16.33 (step @p151 :rule symm :premises (@p70)) % 16.12/16.33 (step @p152 :rule trans :premises (@p147 @p146 @p145 @p142)) % 16.12/16.33 (step @p153 :rule cong :premises (@p152 @p149) :args (@t124)) % 16.12/16.33 (step @p154 :rule cong :premises (@p45 @p153) :args (@t125)) % 16.12/16.33 (step @p155 :rule symm :premises (@p153)) % 16.12/16.33 (step @p156 :rule trans :premises (@p155 @p47 @p154 @p151 @p150 @p148)) % 16.12/16.33 (step @p157 :rule cong :premises (@p156) :args (@t60)) % 16.12/16.33 (step @p158 :rule trans :premises (@p157 @p147 @p146 @p145 @p142)) % 16.12/16.33 (step @p159 :rule cong :premises (@p158 @p139) :args (@t61)) % 16.12/16.33 (step @p160 :rule trans :premises (@p159 @p59)) % 16.12/16.33 (step @p161 :rule symm :premises (@p52)) % 16.12/16.33 (step @p162 :rule symm :premises (@p72)) % 16.12/16.33 (step @p163 :rule symm :premises (@p51)) % 16.12/16.33 (step @p164 :rule trans :premises (@p163 @p50 @p124)) % 16.12/16.33 (step @p165 :rule cong :premises (@p164) :args (@t104)) % 16.12/16.33 (step @p166 :rule symm :premises (@p54)) % 16.12/16.33 (step @p167 :rule cong :premises (@p53) :args (@t52)) % 16.12/16.33 (step @p168 :rule trans :premises (@p167 @p166 @p165 @p123)) % 16.12/16.33 (step @p169 :rule symm :premises (@p66)) % 16.12/16.33 (step @p170 :rule symm :premises (@p68)) % 16.12/16.33 (step @p171 :rule symm :premises (@p67)) % 16.12/16.33 (step @p172 :rule refl :args (tptp.one)) % 16.12/16.33 (step @p173 :rule cong :premises (@p172 @p171) :args (@t98)) % 16.12/16.33 (step @p174 :rule trans :premises (@p67 @p65 @p173 @p170 @p169)) % 16.12/16.33 (step @p175 :rule cong :premises (@p174 @p168) :args (@t71)) % 16.12/16.33 (step @p176 :rule trans :premises (@p175 @p162 @p161)) % 16.12/16.33 (step @p177 :rule cong :premises (@p149 @p176) :args (@t72)) % 16.12/16.33 (step @p178 :rule symm :premises (@p73)) % 16.12/16.33 (step @p179 :rule symm :premises (@p168)) % 16.12/16.33 (step @p180 :rule cong :premises (@p149 @p179) :args (@t55)) % 16.12/16.33 (step @p181 :rule symm :premises (@p174)) % 16.12/16.33 (step @p182 :rule cong :premises (@p149 @p181) :args (@t83)) % 16.12/16.33 (step @p183 :rule trans :premises (@p45 @p182)) % 16.12/16.33 (step @p184 :rule trans :premises (@p156 @p183)) % 16.12/16.33 (step @p185 :rule cong :premises (@p184 @p180) :args (@t62)) % 16.12/16.33 (step @p186 :rule trans :premises (@p185 @p178 @p177 @p148)) % 16.12/16.33 (step @p187 :rule cong :premises (@p186) :args (@t63)) % 16.12/16.33 (step @p188 :rule trans :premises (@p187 @p147 @p146 @p145 @p142)) % 16.12/16.33 (step @p189 :rule cong :premises (@p188 @p160) :args (@t64)) % 16.12/16.33 (step @p226 :rule trans :premises (@p189 @p120)) % 16.12/16.33 (step @p227 :rule false_elim :premises (@p226)) % 16.12/16.33 (step @p228 :rule and_intro :premises (@p85 @p227)) % 16.12/16.33 (step-pop @p301 :rule scope :premises (@p228)) % 16.12/16.33 (step-pop @p302 :rule scope :premises (@p301)) % 16.12/16.33 (step-pop @p303 :rule scope :premises (@p302)) % 16.12/16.33 (step-pop @p304 :rule scope :premises (@p303)) % 16.12/16.33 (step-pop @p305 :rule scope :premises (@p304)) % 16.12/16.33 (step-pop @p306 :rule scope :premises (@p305)) % 16.12/16.33 (step-pop @p307 :rule scope :premises (@p306)) % 16.12/16.33 (step-pop @p308 :rule scope :premises (@p307)) % 16.12/16.33 (step-pop @p309 :rule scope :premises (@p308)) % 16.12/16.33 (step-pop @p310 :rule scope :premises (@p309)) % 16.12/16.33 (step-pop @p311 :rule scope :premises (@p310)) % 16.12/16.33 (step-pop @p312 :rule scope :premises (@p311)) % 16.12/16.33 (step-pop @p313 :rule scope :premises (@p312)) % 16.12/16.33 (step-pop @p314 :rule scope :premises (@p313)) % 16.12/16.33 (step-pop @p315 :rule scope :premises (@p314)) % 16.12/16.33 (step-pop @p316 :rule scope :premises (@p315)) % 16.12/16.33 (step-pop @p317 :rule scope :premises (@p316)) % 16.12/16.33 (step-pop @p318 :rule scope :premises (@p317)) % 16.12/16.33 (step-pop @p319 :rule scope :premises (@p318)) % 16.12/16.33 (step-pop @p320 :rule scope :premises (@p319)) % 16.12/16.33 (step-pop @p321 :rule scope :premises (@p320)) % 16.12/16.33 (step-pop @p322 :rule scope :premises (@p321)) % 16.12/16.33 (step-pop @p323 :rule scope :premises (@p322)) % 16.12/16.33 (step-pop @p324 :rule scope :premises (@p323)) % 16.12/16.33 (step-pop @p325 :rule scope :premises (@p324)) % 16.12/16.33 (step-pop @p326 :rule scope :premises (@p325)) % 16.12/16.33 (step-pop @p327 :rule scope :premises (@p326)) % 16.12/16.33 (step-pop @p328 :rule scope :premises (@p327)) % 16.12/16.33 (step-pop @p329 :rule scope :premises (@p328)) % 16.12/16.33 (step @p229 :rule process_scope :premises (@p329) :args (@t149)) % 16.12/16.33 (step @p259 :rule implies_elim :premises (@p229)) % 16.12/16.33 (step @p260 :rule resolution :premises (@p259 @p194) :args (true @t149)) % 16.12/16.33 (step @p261 :rule not_and :premises (@p260)) % 16.12/16.33 (step @p262 :rule eq_resolve :premises (@p261 @p115)) % 16.12/16.33 (step @p263 false :rule chain_m_resolution :premises (@p262 @p85 @p84 @p83 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p41 @p37 @p33 @p29 @p25 @p24) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t64 @t68 @t58 @t73 @t76 @t81 @t85 @t88 @t91 @t94 @t96 @t99 @t48 @t105 @t107 @t109 @t111 @t114 @t117 @t121 @t126 @t128 @t130 @t132 @t135 @t137 @t140 @t143 @t145))) % 16.12/16.33 ) % 16.12/16.33 % SZS output end Proof % 16.12/16.33 % cvc5 exiting %------------------------------------------------------------------------------