%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE148+2 : 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 : n025.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 08:28:24 AM UTC 2026 % Result : Theorem 27.56s 27.99s % Output : Proof 27.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE148+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:20:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 27.56/27.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.56/27.99 --- Run --no-e-matching --full-saturate-quant at 6... % 27.56/27.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.56/27.99 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.56/27.99 % SZS status Theorem % 27.56/27.99 % SZS output start Proof % 27.56/27.99 ( % 27.56/27.99 (declare-sort $$unsorted 0) % 27.56/27.99 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 27.56/27.99 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 27.56/27.99 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 27.56/27.99 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 27.56/27.99 (declare-const tptp.zero $$unsorted) % 27.56/27.99 (declare-const tptp.one $$unsorted) % 27.56/27.99 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 27.56/27.99 (define @t1 () (@var "A" $$unsorted)) % 27.56/27.99 (define @t2 () (@var "B" $$unsorted)) % 27.56/27.99 (define @t3 () (tptp.addition @t1 @t2)) % 27.56/27.99 (define @t4 () (@list @t1 @t2)) % 27.56/27.99 (define @t5 () (@var "C" $$unsorted)) % 27.56/27.99 (define @t6 () (tptp.addition @t2 @t5)) % 27.56/27.99 (define @t7 () (tptp.addition @t1 tptp.zero)) % 27.56/27.99 (define @t8 () (@list @t1)) % 27.56/27.99 (define @t9 () (forall @t8 (= @t7 @t1))) % 27.56/27.99 (define @t10 () (tptp.addition @t1 @t1)) % 27.56/27.99 (define @t11 () (forall @t8 (= @t10 @t1))) % 27.56/27.99 (define @t12 () (tptp.multiplication @t1 @t2)) % 27.56/27.99 (define @t13 () (tptp.multiplication @t2 @t5)) % 27.56/27.99 (define @t14 () (@list @t1 @t2 @t5)) % 27.56/27.99 (define @t15 () (tptp.multiplication @t1 tptp.one)) % 27.56/27.99 (define @t16 () (forall @t8 (= @t15 @t1))) % 27.56/27.99 (define @t17 () (tptp.multiplication tptp.one @t1)) % 27.56/27.99 (define @t18 () (forall @t8 (= @t17 @t1))) % 27.56/27.99 (define @t19 () (tptp.multiplication @t1 @t5)) % 27.56/27.99 (define @t20 () (tptp.multiplication tptp.zero @t1)) % 27.56/27.99 (define @t21 () (forall @t8 (= @t20 tptp.zero))) % 27.56/27.99 (define @t22 () (tptp.star @t1)) % 27.56/27.99 (define @t23 () (tptp.addition tptp.one (tptp.multiplication @t1 @t22))) % 27.56/27.99 (define @t24 () (forall @t8 (= @t23 @t22))) % 27.56/27.99 (define @t25 () (tptp.addition @t19 @t2)) % 27.56/27.99 (define @t26 () (tptp.strong_iteration @t1)) % 27.56/27.99 (define @t27 () (tptp.leq @t1 @t2)) % 27.56/27.99 (define @t28 () (= @t27 (= @t3 @t2))) % 27.56/27.99 (define @t29 () (forall @t4 @t28)) % 27.56/27.99 (define @t30 () (@var "X1" $$unsorted)) % 27.56/27.99 (define @t31 () (@var "X0" $$unsorted)) % 27.56/27.99 (define @t32 () (tptp.multiplication @t31 (tptp.strong_iteration @t30))) % 27.56/27.99 (define @t33 () (tptp.leq @t31 @t32)) % 27.56/27.99 (define @t34 () (tptp.leq @t32 @t31)) % 27.56/27.99 (define @t35 () (tptp.multiplication @t31 @t30)) % 27.56/27.99 (define @t36 () (=> (= @t35 tptp.zero) @t34)) % 27.56/27.99 (define @t37 () (and @t36 @t33)) % 27.56/27.99 (define @t38 () (@list @t31 @t30)) % 27.56/27.99 (define @t39 () (forall @t38 @t37)) % 27.56/27.99 (define @t40 () (not @t39)) % 27.56/27.99 (define @t41 () (@list tptp.zero)) % 27.56/27.99 (define @t42 () (tptp.star tptp.zero)) % 27.56/27.99 (define @t43 () (tptp.strong_iteration tptp.zero)) % 27.56/27.99 (define @t44 () (tptp.multiplication tptp.zero @t42)) % 27.56/27.99 (define @t45 () (@var "BOUND_VARIABLE_7576" $$unsorted)) % 27.56/27.99 (define @t46 () (@var "BOUND_VARIABLE_7574" $$unsorted)) % 27.56/27.99 (define @t47 () (forall (@list @t46 @t45) (tptp.leq @t46 (tptp.multiplication @t46 (tptp.strong_iteration @t45))))) % 27.56/27.99 (define @t48 () (@quantifiers_skolemize @t47 0)) % 27.56/27.99 (define @t49 () (@list @t48)) % 27.56/27.99 (define @t50 () (tptp.multiplication tptp.zero @t43)) % 27.56/27.99 (define @t51 () (@quantifiers_skolemize @t47 1)) % 27.56/27.99 (define @t52 () (tptp.strong_iteration @t51)) % 27.56/27.99 (define @t53 () (tptp.multiplication @t51 @t52)) % 27.56/27.99 (define @t54 () (tptp.addition tptp.zero @t48)) % 27.56/27.99 (define @t55 () (tptp.multiplication @t54 @t52)) % 27.56/27.99 (define @t56 () (tptp.multiplication @t48 @t52)) % 27.56/27.99 (define @t57 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 27.56/27.99 (define @t58 () (@var "BOUND_VARIABLE_7563" $$unsorted)) % 27.56/27.99 (define @t59 () (forall (@list @t57 @t58) (or (not (= tptp.zero (tptp.multiplication @t57 @t58))) (tptp.leq (tptp.multiplication @t57 (tptp.strong_iteration @t58)) @t57)))) % 27.56/27.99 (define @t60 () (@quantifiers_skolemize @t59 1)) % 27.56/27.99 (define @t61 () (@quantifiers_skolemize @t59 0)) % 27.56/27.99 (define @t62 () (tptp.multiplication @t61 @t60)) % 27.56/27.99 (define @t63 () (= tptp.zero @t62)) % 27.56/27.99 (define @t64 () (tptp.strong_iteration @t60)) % 27.56/27.99 (define @t65 () (tptp.multiplication @t61 @t64)) % 27.56/27.99 (define @t66 () (tptp.leq @t65 @t61)) % 27.56/27.99 (define @t67 () (not @t63)) % 27.56/27.99 (define @t68 () (or @t67 @t66)) % 27.56/27.99 (define @t69 () (@list @t61)) % 27.56/27.99 (define @t70 () (tptp.leq @t61 @t61)) % 27.56/27.99 (define @t71 () (= @t61 (tptp.addition @t61 @t61))) % 27.56/27.99 (define @t72 () (forall @t4 (= @t27 (= @t2 @t3)))) % 27.56/27.99 (define @t73 () (= @t70 @t71)) % 27.56/27.99 (define @t74 () (= @t71 @t70)) % 27.56/27.99 (define @t75 () (@list false)) % 27.56/27.99 (define @t76 () (tptp.multiplication @t60 @t64)) % 27.56/27.99 (define @t77 () (= tptp.zero (tptp.multiplication tptp.zero @t64))) % 27.56/27.99 (define @t78 () (tptp.addition @t76 tptp.one)) % 27.56/27.99 (define @t79 () (= @t64 @t78)) % 27.56/27.99 (define @t80 () (tptp.multiplication @t61 tptp.one)) % 27.56/27.99 (define @t81 () (= @t61 @t80)) % 27.56/27.99 (define @t82 () (tptp.addition @t61 tptp.zero)) % 27.56/27.99 (define @t83 () (= @t82 (tptp.addition tptp.zero @t61))) % 27.56/27.99 (define @t84 () (= @t61 @t82)) % 27.56/27.99 (define @t85 () (tptp.multiplication @t61 @t76)) % 27.56/27.99 (define @t86 () (tptp.addition @t85 @t80)) % 27.56/27.99 (define @t87 () (= (tptp.multiplication @t61 @t78) @t86)) % 27.56/27.99 (define @t88 () (tptp.multiplication @t62 @t64)) % 27.56/27.99 (define @t89 () (= @t85 @t88)) % 27.56/27.99 (define @t90 () (and @t63 @t77 @t79 @t81 @t83 @t70 @t84 @t87 @t89)) % 27.56/27.99 (define @t91 () (not @t68)) % 27.56/27.99 (define @t92 () (not @t59)) % 27.56/27.99 (define @t93 () (forall @t38 @t33)) % 27.56/27.99 (define @t94 () (@list @t31 @t30)) % 27.56/27.99 (define @t95 () (= tptp.zero @t35)) % 27.56/27.99 (define @t96 () (or (not @t95) @t34)) % 27.56/27.99 (define @t97 () (forall @t38 @t96)) % 27.56/27.99 (define @t98 () (and @t97 @t93)) % 27.56/27.99 (define @t99 () (and (=> @t95 @t34) @t33)) % 27.56/27.99 (define @t100 () (not @t47)) % 27.56/27.99 (define @t101 () (tptp.leq @t48 @t56)) % 27.56/27.99 (define @t102 () (not @t101)) % 27.56/27.99 (define @t103 () (= @t56 (tptp.addition @t48 @t56))) % 27.56/27.99 (define @t104 () (= @t101 @t103)) % 27.56/27.99 (define @t105 () (not @t103)) % 27.56/27.99 (define @t106 () (tptp.multiplication @t48 @t53)) % 27.56/27.99 (define @t107 () (tptp.addition @t106 @t48)) % 27.56/27.99 (define @t108 () (tptp.addition @t107 @t48)) % 27.56/27.99 (define @t109 () (tptp.addition @t48 @t48)) % 27.56/27.99 (define @t110 () (tptp.addition @t106 @t109)) % 27.56/27.99 (define @t111 () (= @t110 @t108)) % 27.56/27.99 (define @t112 () (not @t111)) % 27.56/27.99 (define @t113 () (tptp.addition @t48 @t55)) % 27.56/27.99 (define @t114 () (= (tptp.addition @t55 @t48) @t113)) % 27.56/27.99 (define @t115 () (not @t114)) % 27.56/27.99 (define @t116 () (tptp.multiplication @t48 tptp.one)) % 27.56/27.99 (define @t117 () (tptp.addition @t53 tptp.one)) % 27.56/27.99 (define @t118 () (tptp.multiplication @t48 @t117)) % 27.56/27.99 (define @t119 () (= @t118 (tptp.addition @t106 @t116))) % 27.56/27.99 (define @t120 () (not @t119)) % 27.56/27.99 (define @t121 () (= @t52 @t117)) % 27.56/27.99 (define @t122 () (not @t121)) % 27.56/27.99 (define @t123 () (tptp.multiplication tptp.one @t48)) % 27.56/27.99 (define @t124 () (tptp.addition @t50 tptp.one)) % 27.56/27.99 (define @t125 () (tptp.multiplication @t124 @t48)) % 27.56/27.99 (define @t126 () (= @t125 (tptp.addition (tptp.multiplication @t50 @t48) @t123))) % 27.56/27.99 (define @t127 () (not @t126)) % 27.56/27.99 (define @t128 () (= @t48 @t109)) % 27.56/27.99 (define @t129 () (not @t128)) % 27.56/27.99 (define @t130 () (tptp.multiplication tptp.zero @t48)) % 27.56/27.99 (define @t131 () (= tptp.zero @t130)) % 27.56/27.99 (define @t132 () (not @t131)) % 27.56/27.99 (define @t133 () (= @t48 @t123)) % 27.56/27.99 (define @t134 () (not @t133)) % 27.56/27.99 (define @t135 () (tptp.addition @t48 tptp.zero)) % 27.56/27.99 (define @t136 () (= @t48 @t135)) % 27.56/27.99 (define @t137 () (not @t136)) % 27.56/27.99 (define @t138 () (= @t48 @t116)) % 27.56/27.99 (define @t139 () (not @t138)) % 27.56/27.99 (define @t140 () (= tptp.one (tptp.addition tptp.one tptp.zero))) % 27.56/27.99 (define @t141 () (not @t140)) % 27.56/27.99 (define @t142 () (tptp.addition tptp.one @t44)) % 27.56/27.99 (define @t143 () (= @t142 (tptp.addition @t44 tptp.one))) % 27.56/27.99 (define @t144 () (not @t143)) % 27.56/27.99 (define @t145 () (= tptp.zero @t50)) % 27.56/27.99 (define @t146 () (not @t145)) % 27.56/27.99 (define @t147 () (= tptp.zero @t44)) % 27.56/27.99 (define @t148 () (not @t147)) % 27.56/27.99 (define @t149 () (= @t43 @t124)) % 27.56/27.99 (define @t150 () (not @t149)) % 27.56/27.99 (define @t151 () (= @t42 @t142)) % 27.56/27.99 (define @t152 () (not @t151)) % 27.56/27.99 (define @t153 () (and @t111 @t112)) % 27.56/27.99 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 27.56/27.99 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 27.56/27.99 (assume @p3 @t9) % 27.56/27.99 (assume @p4 @t11) % 27.56/27.99 (assume @p5 (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t5)))) % 27.56/27.99 (assume @p6 @t16) % 27.56/27.99 (assume @p7 @t18) % 27.56/27.99 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t6) (tptp.addition @t12 @t19)))) % 27.56/27.99 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t5) (tptp.addition @t19 @t13)))) % 27.56/27.99 (assume @p10 @t21) % 27.56/27.99 (assume @p11 @t24) % 27.56/27.99 (assume @p12 (forall @t8 (= (tptp.addition tptp.one (tptp.multiplication @t22 @t1)) @t22))) % 27.56/27.99 (assume @p13 (forall @t14 (=> (tptp.leq @t25 @t5) (tptp.leq (tptp.multiplication @t22 @t2) @t5)))) % 27.56/27.99 (assume @p14 (forall @t14 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t22) @t5)))) % 27.56/27.99 (assume @p15 (forall @t8 (= @t26 (tptp.addition (tptp.multiplication @t1 @t26) tptp.one)))) % 27.56/27.99 (assume @p16 (forall @t14 (=> (tptp.leq @t5 @t25) (tptp.leq @t5 (tptp.multiplication @t26 @t2))))) % 27.56/27.99 (assume @p17 (forall @t8 (= @t26 (tptp.addition @t22 (tptp.multiplication @t26 tptp.zero))))) % 27.56/27.99 (assume @p18 @t29) % 27.56/27.99 (assume @p19 @t40) % 27.56/27.99 (assume @p20 true) % 27.56/27.99 (step @p21 :rule eq-symm :args (@t23 @t22)) % 27.56/27.99 (step @p22 :rule cong :premises (@p21) :args (@t24)) % 27.56/27.99 (step @p23 :rule eq_resolve :premises (@p11 @p22)) % 27.56/27.99 (step @p24 :rule instantiate :premises (@p23) :args (@t41)) % 27.56/27.99 (step @p25 :rule instantiate :premises (@p15) :args (@t41)) % 27.56/27.99 (step @p26 :rule eq-symm :args (@t20 tptp.zero)) % 27.56/27.99 (step @p27 :rule cong :premises (@p26) :args (@t21)) % 27.56/27.99 (step @p28 :rule eq_resolve :premises (@p10 @p27)) % 27.56/27.99 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t42))) % 27.56/27.99 (step @p30 :rule instantiate :premises (@p28) :args ((@list @t43))) % 27.56/27.99 (step @p31 :rule instantiate :premises (@p1) :args ((@list tptp.one @t44))) % 27.56/27.99 (step @p32 :rule eq-symm :args (@t7 @t1)) % 27.56/27.99 (step @p33 :rule cong :premises (@p32) :args (@t9)) % 27.56/27.99 (step @p34 :rule eq_resolve :premises (@p3 @p33)) % 27.56/27.99 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.one))) % 27.56/27.99 (step @p36 :rule eq-symm :args (@t15 @t1)) % 27.56/27.99 (step @p37 :rule cong :premises (@p36) :args (@t16)) % 27.56/27.99 (step @p38 :rule eq_resolve :premises (@p6 @p37)) % 27.56/27.99 (step @p39 :rule instantiate :premises (@p38) :args (@t49)) % 27.56/27.99 (step @p40 :rule instantiate :premises (@p34) :args (@t49)) % 27.56/27.99 (step @p41 :rule eq-symm :args (@t17 @t1)) % 27.56/27.99 (step @p42 :rule cong :premises (@p41) :args (@t18)) % 27.56/27.99 (step @p43 :rule eq_resolve :premises (@p7 @p42)) % 27.56/27.99 (step @p44 :rule instantiate :premises (@p43) :args (@t49)) % 27.56/27.99 (step @p45 :rule instantiate :premises (@p28) :args (@t49)) % 27.56/27.99 (step @p46 :rule eq-symm :args (@t10 @t1)) % 27.56/27.99 (step @p47 :rule cong :premises (@p46) :args (@t11)) % 27.56/27.99 (step @p48 :rule eq_resolve :premises (@p4 @p47)) % 27.56/27.99 (step @p49 :rule instantiate :premises (@p48) :args (@t49)) % 27.56/27.99 (step @p50 :rule instantiate :premises (@p9) :args ((@list @t50 tptp.one @t48))) % 27.56/27.99 (step @p51 :rule instantiate :premises (@p15) :args ((@list @t51))) % 27.56/27.99 (step @p52 :rule instantiate :premises (@p8) :args ((@list @t48 @t53 tptp.one))) % 27.56/27.99 (step @p53 :rule instantiate :premises (@p1) :args ((@list @t55 @t48))) % 27.56/27.99 (step @p54 :rule eq-symm :args (@t3 @t2)) % 27.56/27.99 (step @p55 :rule refl :args (@t27)) % 27.56/27.99 (step @p56 :rule cong :premises (@p55 @p54) :args (@t28)) % 27.56/27.99 (step @p57 :rule cong :premises (@p56) :args (@t29)) % 27.56/27.99 (step @p58 :rule eq_resolve :premises (@p18 @p57)) % 27.56/27.99 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t48 @t56))) % 27.56/27.99 (step @p60 :rule bool-double-not-elim :args (@t63)) % 27.56/27.99 (step @p61 :rule refl :args (@t68)) % 27.56/27.99 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t68 (not @t67)))) % 27.56/27.99 (step @p63 :rule cnf_or_neg :args (@t68 0)) % 27.56/27.99 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 27.56/27.99 (step @p65 :rule reordering :premises (@p64) :args ((or @t63 @t68))) % 27.56/27.99 (step @p66 :rule cnf_or_neg :args (@t68 1)) % 27.56/27.99 (step @p67 :rule instantiate :premises (@p28) :args ((@list @t64))) % 27.56/27.99 (step @p68 :rule instantiate :premises (@p15) :args ((@list @t60))) % 27.56/27.99 (step @p69 :rule instantiate :premises (@p38) :args (@t69)) % 27.56/27.99 (step @p70 :rule instantiate :premises (@p1) :args ((@list @t61 tptp.zero))) % 27.56/27.99 (step @p71 :rule eq-symm :args (@t70 @t71)) % 27.56/27.99 (step @p72 :rule refl :args (@t72)) % 27.56/27.99 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t72 @t73))) % 27.56/27.99 (assume-push @p345 @t72) % 27.56/27.99 (step @p75 :rule instantiate :premises (@p58) :args ((@list @t61 @t61))) % 27.56/27.99 (step-pop @p346 :rule scope :premises (@p75)) % 27.56/27.99 (step @p76 :rule process_scope :premises (@p346) :args (@t73)) % 27.56/27.99 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 27.56/27.99 (step @p79 :rule implies_elim :premises (@p78)) % 27.56/27.99 (step @p80 :rule chain_m_resolution :premises (@p79 @p58) :args (@t74 @t75 (@list @t72))) % 27.56/27.99 (step @p81 :rule instantiate :premises (@p48) :args (@t69)) % 27.56/27.99 (step @p82 :rule cnf_equiv_pos1 :args (@t74)) % 27.56/27.99 (step @p83 :rule reordering :premises (@p82) :args ((or @t70 (not @t71) (not @t74)))) % 27.56/27.99 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p80) :args (@t70 (@list false false) (@list @t71 @t74))) % 27.56/27.99 (step @p85 :rule instantiate :premises (@p34) :args (@t69)) % 27.56/27.99 (step @p86 :rule instantiate :premises (@p8) :args ((@list @t61 @t76 tptp.one))) % 27.56/27.99 (step @p87 :rule instantiate :premises (@p5) :args ((@list @t61 @t60 @t64))) % 27.56/27.99 (assume-push @p347 @t63) % 27.56/27.99 (assume-push @p348 @t77) % 27.56/27.99 (assume-push @p349 @t79) % 27.56/27.99 (assume-push @p350 @t81) % 27.56/27.99 (assume-push @p351 @t83) % 27.56/27.99 (assume-push @p352 @t70) % 27.56/27.99 (assume-push @p353 @t84) % 27.56/27.99 (assume-push @p354 @t87) % 27.56/27.99 (assume-push @p355 @t89) % 27.56/27.99 (assume-push @p356 @t70) % 27.56/27.99 (assume-push @p357 @t84) % 27.56/27.99 (assume-push @p358 @t83) % 27.56/27.99 (assume-push @p359 @t77) % 27.56/27.99 (assume-push @p360 @t63) % 27.56/27.99 (assume-push @p361 @t89) % 27.56/27.99 (assume-push @p362 @t81) % 27.56/27.99 (assume-push @p363 @t87) % 27.56/27.99 (assume-push @p364 @t79) % 27.56/27.99 (step @p106 :rule true_intro :premises (@p84)) % 27.56/27.99 (step @p107 :rule refl :args (@t61)) % 27.56/27.99 (step @p108 :rule symm :premises (@p85)) % 27.56/27.99 (step @p109 :rule symm :premises (@p70)) % 27.56/27.99 (step @p110 :rule symm :premises (@p67)) % 27.56/27.99 (step @p111 :rule refl :args (@t64)) % 27.56/27.99 (step @p112 :rule symm :premises (@p347)) % 27.56/27.99 (step @p113 :rule cong :premises (@p112 @p111) :args (@t88)) % 27.56/27.99 (step @p114 :rule trans :premises (@p87 @p113 @p110)) % 27.56/27.99 (step @p115 :rule cong :premises (@p114 @p107) :args 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27.56/27.99 (step-pop @p372 :rule scope :premises (@p371)) % 27.56/27.99 (step-pop @p373 :rule scope :premises (@p372)) % 27.56/27.99 (step @p124 :rule process_scope :premises (@p373) :args (@t66)) % 27.56/27.99 (step @p134 :rule and_intro :premises (@p84 @p85 @p70 @p67 @p347 @p87 @p69 @p86 @p68)) % 27.56/27.99 (step @p135 :rule modus_ponens :premises (@p134 @p124)) % 27.56/27.99 (step-pop @p374 :rule scope :premises (@p135)) % 27.56/27.99 (step-pop @p375 :rule scope :premises (@p374)) % 27.56/27.99 (step-pop @p376 :rule scope :premises (@p375)) % 27.56/27.99 (step-pop @p377 :rule scope :premises (@p376)) % 27.56/27.99 (step-pop @p378 :rule scope :premises (@p377)) % 27.56/27.99 (step-pop @p379 :rule scope :premises (@p378)) % 27.56/27.99 (step-pop @p380 :rule scope :premises (@p379)) % 27.56/27.99 (step-pop @p381 :rule scope :premises (@p380)) % 27.56/27.99 (step-pop @p382 :rule scope :premises (@p381)) % 27.56/27.99 (step @p136 :rule process_scope :premises (@p382) :args (@t66)) % 27.56/27.99 (step @p146 :rule implies_elim :premises (@p136)) % 27.56/27.99 (step @p147 :rule cnf_and_neg :args (@t90)) % 27.56/27.99 (step @p148 :rule resolution :premises (@p147 @p146) :args (true @t90)) % 27.56/27.99 (step @p149 :rule reordering :premises (@p148) :args ((or @t67 @t66 (not @t77) (not @t79) (not @t81) (not @t83) (not @t70) (not @t84) (not @t87) (not @t89)))) % 27.56/27.99 (step @p150 :rule chain_m_resolution :premises (@p149 @p87 @p86 @p85 @p84 @p70 @p69 @p68 @p67 @p66 @p65) :args (@t68 (@list false false false false false false false false true false) (@list @t89 @t87 @t84 @t70 @t83 @t81 @t79 @t77 @t66 @t63))) % 27.56/27.99 (step @p151 :rule refl :args (@t91)) % 27.56/27.99 (step @p152 :rule bool-double-not-elim :args (@t59)) % 27.56/27.99 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t92) @t91))) % 27.56/27.99 (assume-push @p383 @t92) % 27.56/27.99 (step @p155 :rule skolemize :premises (@p383)) % 27.56/27.99 (step-pop @p384 :rule scope :premises (@p155)) % 27.56/27.99 (step @p156 :rule process_scope :premises (@p384) :args (@t91)) % 27.56/27.99 (step @p158 :rule implies_elim :premises (@p156)) % 27.56/27.99 (step @p159 :rule eq_resolve :premises (@p158 @p153)) % 27.56/27.99 (step @p160 :rule chain_m_resolution :premises (@p159 @p150) :args (@t59 @t75 (@list @t68))) % 27.56/27.99 (step @p161 :rule alpha_equiv :args (@t93 @t94 (@list @t46 @t45))) % 27.56/27.99 (step @p162 :rule alpha_equiv :args (@t97 @t94 (@list @t57 @t58))) % 27.56/27.99 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t98)) % 27.56/27.99 (step @p164 :rule quant-miniscope-and :args ((= (forall @t38 (and @t96 @t33)) @t98))) % 27.56/27.99 (step @p165 :rule trans :premises (@p164 @p163)) % 27.56/27.99 (step @p166 :rule refl :args (@t33)) % 27.56/27.99 (step @p167 :rule bool-impl-elim :args (@t95 @t34)) % 27.56/27.99 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t99)) % 27.56/27.99 (step @p169 :rule cong :premises (@p168) :args 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27.56/27.99 (step @p197 :rule bool-double-not-elim :args (@t103)) % 27.56/27.99 (step @p198 :rule refl :args (@t115)) % 27.56/27.99 (step @p199 :rule refl :args (@t120)) % 27.56/27.99 (step @p200 :rule refl :args (@t122)) % 27.56/27.99 (step @p201 :rule refl :args (@t127)) % 27.56/27.99 (step @p202 :rule refl :args (@t129)) % 27.56/27.99 (step @p203 :rule refl :args (@t132)) % 27.56/27.99 (step @p204 :rule refl :args (@t134)) % 27.56/27.99 (step @p205 :rule refl :args (@t137)) % 27.56/27.99 (step @p206 :rule refl :args (@t139)) % 27.56/27.99 (step @p207 :rule refl :args (@t141)) % 27.56/27.99 (step @p208 :rule refl :args (@t144)) % 27.56/27.99 (step @p209 :rule refl :args (@t146)) % 27.56/27.99 (step @p210 :rule refl :args (@t148)) % 27.56/27.99 (step @p211 :rule refl :args (@t150)) % 27.56/27.99 (step @p212 :rule refl :args (@t152)) % 27.56/27.99 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196) :args ((or @t152 @t150 @t148 @t146 @t144 @t141 @t139 @t137 @t134 @t132 @t129 @t127 @t122 @t120 @t115 (not @t105) @t112))) % 27.56/27.99 (assume-push @p387 @t111) % 27.56/27.99 (assume-push @p388 @t112) % 27.56/27.99 (step @p216 :rule evaluate :args ((= false true))) % 27.56/27.99 (step @p217 :rule true_intro :premises (@p195)) % 27.56/27.99 (step @p218 :rule false_intro :premises (@p388)) % 27.56/27.99 (step @p219 :rule symm :premises (@p218)) % 27.56/27.99 (step @p220 :rule trans :premises (@p219 @p217)) % 27.56/27.99 (step @p221 false :rule eq_resolve :premises (@p220 @p216)) % 27.56/27.99 (step-pop @p389 :rule scope :premises (@p221)) % 27.56/27.99 (step-pop @p390 :rule scope :premises (@p389)) % 27.56/27.99 (step @p222 :rule process_scope :premises (@p390) :args (false)) % 27.56/27.99 (assume-push @p391 @t151) % 27.56/27.99 (assume-push @p392 @t149) % 27.56/27.99 (assume-push @p393 @t147) % 27.56/27.99 (assume-push @p394 @t145) % 27.56/27.99 (assume-push @p395 @t143) % 27.56/27.99 (assume-push @p396 @t140) % 27.56/27.99 (assume-push @p397 @t138) % 27.56/27.99 (assume-push @p398 @t136) % 27.56/27.99 (assume-push @p399 @t133) % 27.56/27.99 (assume-push @p400 @t131) % 27.56/27.99 (assume-push @p401 @t128) % 27.56/27.99 (assume-push @p402 @t126) % 27.56/27.99 (assume-push @p403 @t121) % 27.56/27.99 (assume-push @p404 @t119) % 27.56/27.99 (assume-push @p405 @t114) % 27.56/27.99 (assume-push @p406 @t105) % 27.56/27.99 (assume-push @p407 @t111) % 27.56/27.99 (assume-push @p408 @t121) % 27.56/27.99 (assume-push @p409 @t119) % 27.56/27.99 (assume-push @p410 @t138) % 27.56/27.99 (assume-push @p411 @t128) % 27.56/27.99 (assume-push @p412 @t105) % 27.56/27.99 (assume-push @p413 @t133) % 27.56/27.99 (assume-push @p414 @t140) % 27.56/27.99 (assume-push @p415 @t147) % 27.56/27.99 (assume-push @p416 @t151) % 27.56/27.99 (assume-push @p417 @t143) % 27.56/27.99 (assume-push @p418 @t145) % 27.56/27.99 (assume-push @p419 @t149) % 27.56/27.99 (assume-push @p420 @t126) % 27.56/27.99 (assume-push @p421 @t131) % 27.56/27.99 (assume-push @p422 @t114) % 27.56/27.99 (assume-push @p423 @t136) % 27.56/27.99 (step @p258 :rule false_intro :premises (@p406)) % 27.56/27.99 (step @p259 :rule refl :args (@t52)) % 27.56/27.99 (step @p260 :rule symm :premises (@p44)) % 27.56/27.99 (step @p261 :rule refl :args (@t48)) % 27.56/27.99 (step @p262 :rule symm :premises (@p35)) % 27.56/27.99 (step @p263 :rule symm :premises (@p29)) % 27.56/27.99 (step @p264 :rule refl :args (tptp.one)) % 27.56/27.99 (step @p265 :rule cong :premises (@p264 @p263) :args (@t142)) % 27.56/27.99 (step @p266 :rule trans :premises (@p24 @p265 @p262)) % 27.56/27.99 (step @p267 :rule symm :premises (@p24)) % 27.56/27.99 (step @p268 :rule symm :premises (@p31)) % 27.56/27.99 (step @p269 :rule symm :premises (@p30)) % 27.56/27.99 (step @p270 :rule trans :premises (@p269 @p29)) % 27.56/27.99 (step @p271 :rule cong :premises (@p270 @p264) :args (@t124)) % 27.56/27.99 (step @p272 :rule trans :premises (@p25 @p271 @p268 @p267)) % 27.56/27.99 (step @p273 :rule trans :premises (@p272 @p266)) % 27.56/27.99 (step @p274 :rule cong :premises (@p273 @p261) :args ((tptp.multiplication @t43 @t48))) % 27.56/27.99 (step @p275 :rule symm :premises (@p25)) % 27.56/27.99 (step @p276 :rule cong :premises (@p275 @p261) :args (@t125)) % 27.56/27.99 (step @p277 :rule symm :premises (@p50)) % 27.56/27.99 (step @p278 :rule cong :premises (@p30 @p261) :args (@t130)) % 27.56/27.99 (step @p279 :rule trans :premises (@p45 @p278)) % 27.56/27.99 (step @p280 :rule cong :premises (@p279 @p44) :args (@t54)) % 27.56/27.99 (step @p281 :rule trans :premises (@p280 @p277 @p276 @p274 @p260)) % 27.56/27.99 (step @p282 :rule cong :premises (@p281 @p259) :args (@t55)) % 27.56/27.99 (step @p283 :rule cong :premises (@p261 @p282) :args (@t113)) % 27.56/27.99 (step @p284 :rule symm :premises (@p40)) % 27.56/27.99 (step @p285 :rule refl :args (@t55)) % 27.56/27.99 (step @p286 :rule cong :premises (@p285 @p284) :args 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false_elim :premises (@p300)) % 27.56/27.99 (step-pop @p424 :rule scope :premises (@p301)) % 27.56/27.99 (step-pop @p425 :rule scope :premises (@p424)) % 27.56/27.99 (step-pop @p426 :rule scope :premises (@p425)) % 27.56/27.99 (step-pop @p427 :rule scope :premises (@p426)) % 27.56/27.99 (step-pop @p428 :rule scope :premises (@p427)) % 27.56/27.99 (step-pop @p429 :rule scope :premises (@p428)) % 27.56/27.99 (step-pop @p430 :rule scope :premises (@p429)) % 27.56/27.99 (step-pop @p431 :rule scope :premises (@p430)) % 27.56/27.99 (step-pop @p432 :rule scope :premises (@p431)) % 27.56/27.99 (step-pop @p433 :rule scope :premises (@p432)) % 27.56/27.99 (step-pop @p434 :rule scope :premises (@p433)) % 27.56/27.99 (step-pop @p435 :rule scope :premises (@p434)) % 27.56/27.99 (step-pop @p436 :rule scope :premises (@p435)) % 27.56/27.99 (step-pop @p437 :rule scope :premises (@p436)) % 27.56/27.99 (step-pop @p438 :rule scope :premises (@p437)) % 27.56/27.99 (step-pop @p439 :rule scope :premises (@p438)) % 27.56/27.99 (step @p302 :rule process_scope :premises (@p439) :args (@t112)) % 27.56/27.99 (step @p319 :rule and_intro :premises (@p51 @p52 @p39 @p49 @p406 @p44 @p35 @p29 @p24 @p31 @p30 @p25 @p50 @p45 @p53 @p40)) % 27.56/27.99 (step @p320 :rule modus_ponens :premises (@p319 @p302)) % 27.56/27.99 (step @p321 :rule and_intro :premises (@p195 @p320)) % 27.56/27.99 (step-pop @p440 :rule scope :premises (@p321)) % 27.56/27.99 (step-pop @p441 :rule scope :premises (@p440)) % 27.56/27.99 (step-pop @p442 :rule scope :premises (@p441)) % 27.56/27.99 (step-pop @p443 :rule scope :premises (@p442)) % 27.56/27.99 (step-pop @p444 :rule scope :premises (@p443)) % 27.56/27.99 (step-pop @p445 :rule scope :premises (@p444)) % 27.56/27.99 (step-pop @p446 :rule scope :premises (@p445)) % 27.56/27.99 (step-pop @p447 :rule scope :premises (@p446)) % 27.56/27.99 (step-pop @p448 :rule scope :premises (@p447)) % 27.56/27.99 (step-pop @p449 :rule scope :premises (@p448)) % 27.56/27.99 (step-pop @p450 :rule scope :premises (@p449)) % 27.56/27.99 (step-pop @p451 :rule scope :premises (@p450)) % 27.56/27.99 (step-pop @p452 :rule scope :premises (@p451)) % 27.56/27.99 (step-pop @p453 :rule scope :premises (@p452)) % 27.56/27.99 (step-pop @p454 :rule scope :premises (@p453)) % 27.56/27.99 (step-pop @p455 :rule scope :premises (@p454)) % 27.56/27.99 (step-pop @p456 :rule scope :premises (@p455)) % 27.56/27.99 (step @p322 :rule process_scope :premises (@p456) :args (@t153)) % 27.56/27.99 (step @p340 :rule implies_elim :premises (@p322)) % 27.56/27.99 (step @p341 :rule resolution :premises (@p340 @p222) :args (true @t153)) % 27.56/27.99 (step @p342 :rule not_and :premises (@p341)) % 27.56/27.99 (step @p343 :rule eq_resolve :premises (@p342 @p213)) % 27.56/27.99 (step @p344 false :rule chain_m_resolution :premises (@p343 @p195 @p194 @p53 @p52 @p51 @p50 @p49 @p45 @p44 @p40 @p39 @p35 @p31 @p30 @p29 @p25 @p24) :args (false (@list false true false false false false false false false false false false false false false false false) (@list @t111 @t103 @t114 @t119 @t121 @t126 @t128 @t131 @t133 @t136 @t138 @t140 @t143 @t145 @t147 @t149 @t151))) % 27.56/27.99 ) % 27.56/27.99 % SZS output end Proof % 27.56/27.99 % cvc5 exiting %------------------------------------------------------------------------------