%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE041+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 : n007.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 08:28:11 AM UTC 2026 % Result : Theorem 1.63s 1.83s % Output : Proof 1.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE041+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 % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:10:26 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.63/1.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.63/1.83 % SZS status Theorem % 1.63/1.83 % SZS output start Proof % 1.63/1.83 ( % 1.63/1.83 (declare-sort $$unsorted 0) % 1.63/1.83 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 1.63/1.83 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.83 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.63/1.83 (declare-const tptp.zero $$unsorted) % 1.63/1.83 (declare-const tptp.one $$unsorted) % 1.63/1.83 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.83 (define @t1 () (@var "A" $$unsorted)) % 1.63/1.83 (define @t2 () (@var "B" $$unsorted)) % 1.63/1.83 (define @t3 () (tptp.addition @t1 @t2)) % 1.63/1.83 (define @t4 () (@list @t1 @t2)) % 1.63/1.83 (define @t5 () (@var "C" $$unsorted)) % 1.63/1.83 (define @t6 () (tptp.addition @t2 @t5)) % 1.63/1.83 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 1.63/1.83 (define @t8 () (@list @t1)) % 1.63/1.83 (define @t9 () (tptp.addition @t1 @t1)) % 1.63/1.83 (define @t10 () (forall @t8 (= @t9 @t1))) % 1.63/1.83 (define @t11 () (tptp.multiplication @t1 @t2)) % 1.63/1.83 (define @t12 () (tptp.multiplication @t2 @t5)) % 1.63/1.83 (define @t13 () (@list @t1 @t2 @t5)) % 1.63/1.83 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 1.63/1.83 (define @t15 () (forall @t8 (= @t14 @t1))) % 1.63/1.83 (define @t16 () (tptp.multiplication @t1 @t5)) % 1.63/1.83 (define @t17 () (tptp.leq @t1 @t2)) % 1.63/1.83 (define @t18 () (= @t17 (= @t3 @t2))) % 1.63/1.83 (define @t19 () (forall @t4 @t18)) % 1.63/1.83 (define @t20 () (tptp.star @t1)) % 1.63/1.83 (define @t21 () (tptp.leq (tptp.multiplication @t20 @t5) @t2)) % 1.63/1.83 (define @t22 () (tptp.addition @t11 @t5)) % 1.63/1.83 (define @t23 () (tptp.leq @t22 @t2)) % 1.63/1.83 (define @t24 () (forall @t13 (=> @t23 @t21))) % 1.63/1.83 (define @t25 () (@var "X1" $$unsorted)) % 1.63/1.83 (define @t26 () (@var "X0" $$unsorted)) % 1.63/1.83 (define @t27 () (tptp.leq (tptp.star @t26) (tptp.star @t25))) % 1.63/1.83 (define @t28 () (tptp.leq @t26 @t25)) % 1.63/1.83 (define @t29 () (@list @t26 @t25)) % 1.63/1.83 (define @t30 () (forall @t29 (=> @t28 @t27))) % 1.63/1.83 (define @t31 () (not @t30)) % 1.63/1.83 (define @t32 () (forall @t29 (or (not @t28) @t27))) % 1.63/1.83 (define @t33 () (@quantifiers_skolemize @t32 1)) % 1.63/1.83 (define @t34 () (@quantifiers_skolemize @t32 0)) % 1.63/1.83 (define @t35 () (tptp.leq @t34 @t33)) % 1.63/1.83 (define @t36 () (tptp.star @t33)) % 1.63/1.83 (define @t37 () (tptp.star @t34)) % 1.63/1.83 (define @t38 () (tptp.leq @t37 @t36)) % 1.63/1.83 (define @t39 () (not @t35)) % 1.63/1.83 (define @t40 () (or @t39 @t38)) % 1.63/1.83 (define @t41 () (@list true)) % 1.63/1.83 (define @t42 () (@list @t40)) % 1.63/1.83 (define @t43 () (tptp.addition @t34 @t33)) % 1.63/1.83 (define @t44 () (= @t33 @t43)) % 1.63/1.83 (define @t45 () (= @t35 @t44)) % 1.63/1.83 (define @t46 () (@list false false)) % 1.63/1.83 (define @t47 () (tptp.multiplication @t33 @t36)) % 1.63/1.83 (define @t48 () (tptp.multiplication @t36 @t33)) % 1.63/1.83 (define @t49 () (tptp.addition tptp.one @t47)) % 1.63/1.83 (define @t50 () (@list @t33)) % 1.63/1.83 (define @t51 () (tptp.addition @t49 @t36)) % 1.63/1.83 (define @t52 () (= @t36 @t51)) % 1.63/1.83 (define @t53 () (tptp.leq @t49 @t36)) % 1.63/1.83 (define @t54 () (= @t53 @t52)) % 1.63/1.83 (define @t55 () (tptp.addition tptp.one @t48)) % 1.63/1.83 (define @t56 () (tptp.addition @t55 @t36)) % 1.63/1.83 (define @t57 () (= @t36 @t56)) % 1.63/1.83 (define @t58 () (tptp.leq @t55 @t36)) % 1.63/1.83 (define @t59 () (= @t58 @t57)) % 1.63/1.83 (define @t60 () (tptp.multiplication @t34 @t36)) % 1.63/1.83 (define @t61 () (tptp.addition @t48 @t36)) % 1.63/1.83 (define @t62 () (tptp.addition tptp.one @t61)) % 1.63/1.83 (define @t63 () (= @t62 @t56)) % 1.63/1.83 (define @t64 () (@list @t36 @t48 tptp.one)) % 1.63/1.83 (define @t65 () (= @t56 @t62)) % 1.63/1.83 (define @t66 () (@list false)) % 1.63/1.83 (define @t67 () (@list @t7)) % 1.63/1.83 (define @t68 () (tptp.addition @t55 @t55)) % 1.63/1.83 (define @t69 () (tptp.addition @t47 tptp.one)) % 1.63/1.83 (define @t70 () (tptp.multiplication @t55 @t33)) % 1.63/1.83 (define @t71 () (tptp.addition @t48 @t55)) % 1.63/1.83 (define @t72 () (tptp.addition tptp.one @t71)) % 1.63/1.83 (define @t73 () (= @t72 @t68)) % 1.63/1.83 (define @t74 () (@list @t55 @t48 tptp.one)) % 1.63/1.83 (define @t75 () (= @t68 @t72)) % 1.63/1.83 (define @t76 () (tptp.addition @t48 tptp.one)) % 1.63/1.83 (define @t77 () (tptp.addition @t68 tptp.one)) % 1.63/1.83 (define @t78 () (tptp.multiplication tptp.one tptp.one)) % 1.63/1.83 (define @t79 () (tptp.multiplication @t61 tptp.one)) % 1.63/1.83 (define @t80 () (tptp.addition @t60 tptp.one)) % 1.63/1.83 (define @t81 () (tptp.leq (tptp.multiplication @t37 tptp.one) @t36)) % 1.63/1.83 (define @t82 () (tptp.leq @t80 @t36)) % 1.63/1.83 (define @t83 () (not @t82)) % 1.63/1.83 (define @t84 () (or @t83 @t81)) % 1.63/1.83 (define @t85 () (@list true false)) % 1.63/1.83 (define @t86 () (= @t36 (tptp.addition @t80 @t36))) % 1.63/1.83 (define @t87 () (= @t82 @t86)) % 1.63/1.83 (define @t88 () (not @t86)) % 1.63/1.83 (define @t89 () (tptp.addition @t48 @t48)) % 1.63/1.83 (define @t90 () (tptp.addition tptp.one @t89)) % 1.63/1.83 (define @t91 () (tptp.addition @t55 @t48)) % 1.63/1.83 (define @t92 () (= @t90 @t91)) % 1.63/1.83 (define @t93 () (= @t91 @t90)) % 1.63/1.83 (define @t94 () (= @t49 @t69)) % 1.63/1.83 (define @t95 () (= @t55 @t76)) % 1.63/1.83 (define @t96 () (tptp.addition @t60 @t47)) % 1.63/1.83 (define @t97 () (= (tptp.multiplication @t43 @t36) @t96)) % 1.63/1.83 (define @t98 () (tptp.addition @t55 @t56)) % 1.63/1.83 (define @t99 () (= @t98 (tptp.addition @t68 @t36))) % 1.63/1.83 (define @t100 () (tptp.addition @t60 @t69)) % 1.63/1.83 (define @t101 () (= @t100 (tptp.addition @t96 tptp.one))) % 1.63/1.83 (define @t102 () (tptp.addition @t70 @t48)) % 1.63/1.83 (define @t103 () (tptp.multiplication @t56 @t33)) % 1.63/1.83 (define @t104 () (= @t103 @t102)) % 1.63/1.83 (define @t105 () (tptp.addition @t76 @t61)) % 1.63/1.83 (define @t106 () (= (tptp.addition @t48 @t62) @t105)) % 1.63/1.83 (define @t107 () (tptp.addition @t77 @t61)) % 1.63/1.83 (define @t108 () (tptp.addition @t68 @t62)) % 1.63/1.83 (define @t109 () (= @t108 @t107)) % 1.63/1.83 (define @t110 () (tptp.addition @t69 @t36)) % 1.63/1.83 (define @t111 () (tptp.addition @t60 @t110)) % 1.63/1.83 (define @t112 () (= @t111 (tptp.addition @t100 @t36))) % 1.63/1.83 (define @t113 () (tptp.addition @t102 @t36)) % 1.63/1.83 (define @t114 () (tptp.addition @t70 @t61)) % 1.63/1.83 (define @t115 () (= @t114 @t113)) % 1.63/1.83 (define @t116 () (= @t55 @t68)) % 1.63/1.83 (define @t117 () (tptp.multiplication @t36 tptp.one)) % 1.63/1.83 (define @t118 () (= @t36 @t117)) % 1.63/1.83 (define @t119 () (tptp.addition @t78 @t79)) % 1.63/1.83 (define @t120 () (= (tptp.multiplication @t62 tptp.one) @t119)) % 1.63/1.83 (define @t121 () (tptp.addition @t71 tptp.one)) % 1.63/1.83 (define @t122 () (= @t72 @t121)) % 1.63/1.83 (define @t123 () (= @t77 (tptp.addition tptp.one @t68))) % 1.63/1.83 (define @t124 () (tptp.addition @t61 @t76)) % 1.63/1.83 (define @t125 () (= @t105 @t124)) % 1.63/1.83 (define @t126 () (= @t107 (tptp.addition @t61 @t77))) % 1.63/1.83 (define @t127 () (tptp.addition @t60 @t78)) % 1.63/1.83 (define @t128 () (tptp.addition @t127 @t79)) % 1.63/1.83 (define @t129 () (= (tptp.addition @t60 @t119) @t128)) % 1.63/1.83 (define @t130 () (tptp.addition @t71 @t55)) % 1.63/1.83 (define @t131 () (tptp.addition tptp.one @t130)) % 1.63/1.83 (define @t132 () (= @t131 (tptp.addition @t72 @t55))) % 1.63/1.83 (define @t133 () (= @t48 @t89)) % 1.63/1.83 (define @t134 () (= tptp.one @t78)) % 1.63/1.83 (define @t135 () (= @t61 @t79)) % 1.63/1.83 (define @t136 () (tptp.addition (tptp.multiplication @t70 tptp.one) @t79)) % 1.63/1.83 (define @t137 () (tptp.multiplication @t114 tptp.one)) % 1.63/1.83 (define @t138 () (= @t137 @t136)) % 1.63/1.83 (define @t139 () (= @t130 (tptp.addition @t55 @t71))) % 1.63/1.83 (define @t140 () (tptp.addition @t121 @t48)) % 1.63/1.83 (define @t141 () (= @t130 @t140)) % 1.63/1.83 (define @t142 () (tptp.addition @t76 @t71)) % 1.63/1.83 (define @t143 () (and @t44 @t94 @t95 @t97 @t52 @t57 @t99 @t101 @t65 @t104 @t106 @t109 @t112 @t115 @t75 @t116 @t118 @t120 @t122 @t123 @t125 @t126 @t129 @t132 @t133 @t134 @t135 @t138 @t139 @t141 @t93)) % 1.63/1.83 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 1.63/1.83 (assume @p2 @t7) % 1.63/1.83 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 1.63/1.83 (assume @p4 @t10) % 1.63/1.83 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5)))) % 1.63/1.83 (assume @p6 @t15) % 1.63/1.83 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 1.63/1.83 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t16)))) % 1.63/1.83 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t16 @t12)))) % 1.63/1.83 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 1.63/1.83 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 1.63/1.83 (assume @p12 @t19) % 1.63/1.83 (assume @p13 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t20)) @t20))) % 1.63/1.83 (assume @p14 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t20 @t1)) @t20))) % 1.63/1.83 (assume @p15 @t24) % 1.63/1.83 (assume @p16 (forall @t13 (=> (tptp.leq @t22 @t1) (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1)))) % 1.63/1.83 (assume @p17 @t31) % 1.63/1.83 (assume @p18 true) % 1.63/1.83 (step @p19 :rule eq-symm :args (@t3 @t2)) % 1.63/1.83 (step @p20 :rule refl :args (@t17)) % 1.63/1.83 (step @p21 :rule cong :premises (@p20 @p19) :args (@t18)) % 1.63/1.83 (step @p22 :rule cong :premises (@p21) :args (@t19)) % 1.63/1.83 (step @p23 :rule eq_resolve :premises (@p12 @p22)) % 1.63/1.83 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t34 @t33))) % 1.63/1.83 (step @p25 :rule bool-impl-elim :args (@t28 @t27)) % 1.63/1.83 (step @p26 :rule cong :premises (@p25) :args (@t30)) % 1.63/1.83 (step @p27 :rule cong :premises (@p26) :args (@t31)) % 1.63/1.83 (step @p28 :rule eq_resolve :premises (@p17 @p27)) % 1.63/1.83 (step @p29 :rule skolemize :premises (@p28)) % 1.63/1.83 (step @p30 :rule bool-double-not-elim :args (@t35)) % 1.63/1.83 (step @p31 :rule refl :args (@t40)) % 1.63/1.83 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t40 (not @t39)))) % 1.63/1.83 (step @p33 :rule cnf_or_neg :args (@t40 0)) % 1.63/1.83 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 1.63/1.83 (step @p35 :rule reordering :premises (@p34) :args ((or @t35 @t40))) % 1.63/1.83 (step @p36 :rule chain_m_resolution :premises (@p35 @p29) :args (@t35 @t41 @t42)) % 1.63/1.83 (step @p37 :rule cnf_equiv_pos1 :args (@t45)) % 1.63/1.83 (step @p38 :rule reordering :premises (@p37) :args ((or @t39 @t44 (not @t45)))) % 1.63/1.83 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p24) :args (@t44 @t46 (@list @t35 @t45))) % 1.63/1.83 (step @p40 :rule instantiate :premises (@p1) :args ((@list tptp.one @t47))) % 1.63/1.83 (step @p41 :rule instantiate :premises (@p1) :args ((@list tptp.one @t48))) % 1.63/1.83 (step @p42 :rule instantiate :premises (@p9) :args ((@list @t34 @t33 @t36))) % 1.63/1.83 (step @p43 :rule instantiate :premises (@p23) :args ((@list @t49 @t36))) % 1.63/1.83 (step @p44 :rule instantiate :premises (@p13) :args (@t50)) % 1.63/1.83 (step @p45 :rule cnf_equiv_pos1 :args (@t54)) % 1.63/1.83 (step @p46 :rule reordering :premises (@p45) :args ((or (not @t53) @t52 (not @t54)))) % 1.63/1.83 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p43) :args (@t52 @t46 (@list @t53 @t54))) % 1.63/1.83 (step @p48 :rule instantiate :premises (@p23) :args ((@list @t55 @t36))) % 1.63/1.83 (step @p49 :rule instantiate :premises (@p14) :args (@t50)) % 1.63/1.83 (step @p50 :rule cnf_equiv_pos1 :args (@t59)) % 1.63/1.83 (step @p51 :rule reordering :premises (@p50) :args ((or (not @t58) @t57 (not @t59)))) % 1.63/1.83 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48) :args (@t57 @t46 (@list @t58 @t59))) % 1.63/1.83 (step @p53 :rule instantiate :premises (@p2) :args ((@list @t36 @t55 @t55))) % 1.63/1.83 (step @p54 :rule instantiate :premises (@p2) :args ((@list tptp.one @t47 @t60))) % 1.63/1.83 (step @p55 :rule eq-symm :args (@t62 @t56)) % 1.63/1.83 (step @p56 :rule refl :args (@t7)) % 1.63/1.83 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t7 @t63))) % 1.63/1.83 (assume-push @p271 @t7) % 1.63/1.83 (step @p59 :rule instantiate :premises (@p2) :args (@t64)) % 1.63/1.83 (step-pop @p272 :rule scope :premises (@p59)) % 1.63/1.83 (step @p60 :rule process_scope :premises (@p272) :args (@t63)) % 1.63/1.83 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 1.63/1.83 (step @p63 :rule implies_elim :premises (@p62)) % 1.63/1.83 (step @p64 :rule chain_m_resolution :premises (@p63 @p2) :args (@t65 @t66 @t67)) % 1.63/1.83 (step @p65 :rule instantiate :premises (@p9) :args ((@list @t55 @t36 @t33))) % 1.63/1.83 (step @p66 :rule instantiate :premises (@p2) :args ((@list @t61 tptp.one @t48))) % 1.63/1.83 (step @p67 :rule instantiate :premises (@p2) :args ((@list @t61 tptp.one @t68))) % 1.63/1.83 (step @p68 :rule instantiate :premises (@p2) :args ((@list @t36 @t69 @t60))) % 1.63/1.83 (step @p69 :rule instantiate :premises (@p2) :args ((@list @t36 @t48 @t70))) % 1.63/1.83 (step @p70 :rule eq-symm :args (@t72 @t68)) % 1.63/1.83 (step @p71 :rule cong :premises (@p56 @p70) :args ((=> @t7 @t73))) % 1.63/1.83 (assume-push @p273 @t7) % 1.63/1.83 (step @p73 :rule instantiate :premises (@p2) :args (@t74)) % 1.63/1.83 (step-pop @p274 :rule scope :premises (@p73)) % 1.63/1.83 (step @p74 :rule process_scope :premises (@p274) :args (@t73)) % 1.63/1.83 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 1.63/1.83 (step @p77 :rule implies_elim :premises (@p76)) % 1.63/1.83 (step @p78 :rule chain_m_resolution :premises (@p77 @p2) :args (@t75 @t66 @t67)) % 1.63/1.83 (step @p79 :rule eq-symm :args (@t9 @t1)) % 1.63/1.83 (step @p80 :rule cong :premises (@p79) :args (@t10)) % 1.63/1.83 (step @p81 :rule eq_resolve :premises (@p4 @p80)) % 1.63/1.83 (step @p82 :rule instantiate :premises (@p81) :args ((@list @t55))) % 1.63/1.83 (step @p83 :rule eq-symm :args (@t14 @t1)) % 1.63/1.83 (step @p84 :rule cong :premises (@p83) :args (@t15)) % 1.63/1.83 (step @p85 :rule eq_resolve :premises (@p6 @p84)) % 1.63/1.83 (step @p86 :rule instantiate :premises (@p85) :args ((@list @t36))) % 1.63/1.83 (step @p87 :rule instantiate :premises (@p9) :args ((@list tptp.one @t61 tptp.one))) % 1.63/1.83 (step @p88 :rule instantiate :premises (@p1) :args ((@list tptp.one @t71))) % 1.63/1.83 (step @p89 :rule instantiate :premises (@p1) :args ((@list @t68 tptp.one))) % 1.63/1.83 (step @p90 :rule instantiate :premises (@p1) :args ((@list @t76 @t61))) % 1.63/1.83 (step @p91 :rule instantiate :premises (@p1) :args ((@list @t77 @t61))) % 1.63/1.83 (step @p92 :rule instantiate :premises (@p2) :args ((@list @t79 @t78 @t60))) % 1.63/1.83 (step @p93 :rule instantiate :premises (@p2) :args ((@list @t55 @t71 tptp.one))) % 1.63/1.83 (step @p94 :rule instantiate :premises (@p81) :args ((@list @t48))) % 1.63/1.83 (step @p95 :rule instantiate :premises (@p85) :args ((@list tptp.one))) % 1.63/1.83 (step @p96 :rule instantiate :premises (@p85) :args ((@list @t61))) % 1.63/1.83 (step @p97 :rule instantiate :premises (@p9) :args ((@list @t70 @t61 tptp.one))) % 1.63/1.83 (step @p98 :rule instantiate :premises (@p23) :args ((@list @t80 @t36))) % 1.63/1.83 (step @p99 :rule bool-impl-elim :args (@t23 @t21)) % 1.63/1.83 (step @p100 :rule cong :premises (@p99) :args (@t24)) % 1.63/1.83 (step @p101 :rule eq_resolve :premises (@p15 @p100)) % 1.63/1.83 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t34 @t36 tptp.one))) % 1.63/1.83 (step @p103 :rule cnf_or_neg :args (@t40 1)) % 1.63/1.83 (step @p104 :rule chain_m_resolution :premises (@p103 @p29) :args ((not @t38) @t41 @t42)) % 1.63/1.83 (step @p105 :rule false_intro :premises (@p104)) % 1.63/1.83 (step @p106 :rule refl :args (@t36)) % 1.63/1.83 (step @p107 :rule instantiate :premises (@p85) :args ((@list @t37))) % 1.63/1.83 (step @p108 :rule symm :premises (@p107)) % 1.63/1.83 (step @p109 :rule cong :premises (@p108 @p106) :args (@t81)) % 1.63/1.83 (step @p110 :rule trans :premises (@p109 @p105)) % 1.63/1.83 (step @p111 :rule false_elim :premises (@p110)) % 1.63/1.83 (step @p112 :rule cnf_or_pos :args (@t84)) % 1.63/1.83 (step @p113 :rule reordering :premises (@p112) :args ((or @t83 @t81 (not @t84)))) % 1.63/1.83 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p102) :args (@t83 @t85 (@list @t81 @t84))) % 1.63/1.83 (step @p115 :rule cnf_equiv_pos2 :args (@t87)) % 1.63/1.83 (step @p116 :rule reordering :premises (@p115) :args ((or @t82 @t88 (not @t87)))) % 1.63/1.83 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p98) :args (@t88 @t85 (@list @t82 @t87))) % 1.63/1.83 (step @p118 :rule instantiate :premises (@p1) :args ((@list @t71 @t55))) % 1.63/1.83 (step @p119 :rule instantiate :premises (@p2) :args ((@list @t48 tptp.one @t71))) % 1.63/1.83 (step @p120 :rule eq-symm :args (@t90 @t91)) % 1.63/1.83 (step @p121 :rule cong :premises (@p56 @p120) :args ((=> @t7 @t92))) % 1.63/1.83 (assume-push @p275 @t7) % 1.63/1.83 (step @p123 :rule instantiate :premises (@p2) :args ((@list @t48 @t48 tptp.one))) % 1.63/1.83 (step-pop @p276 :rule scope :premises (@p123)) % 1.63/1.83 (step @p124 :rule process_scope :premises (@p276) :args (@t92)) % 1.63/1.83 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 1.63/1.83 (step @p127 :rule implies_elim :premises (@p126)) % 1.63/1.83 (step @p128 :rule chain_m_resolution :premises (@p127 @p2) :args (@t93 @t66 @t67)) % 1.63/1.83 (assume-push @p277 @t44) % 1.63/1.83 (assume-push @p278 @t94) % 1.63/1.83 (assume-push @p279 @t95) % 1.63/1.83 (assume-push @p280 @t97) % 1.63/1.83 (assume-push @p281 @t52) % 1.63/1.83 (assume-push @p282 @t57) % 1.63/1.83 (assume-push @p283 @t99) % 1.63/1.83 (assume-push @p284 @t101) % 1.63/1.83 (assume-push @p285 @t65) % 1.63/1.83 (assume-push @p286 @t104) % 1.63/1.83 (assume-push @p287 @t106) % 1.63/1.83 (assume-push @p288 @t109) % 1.63/1.83 (assume-push @p289 @t112) % 1.63/1.83 (assume-push @p290 @t115) % 1.63/1.83 (assume-push @p291 @t75) % 1.63/1.83 (assume-push @p292 @t116) % 1.63/1.83 (assume-push @p293 @t118) % 1.63/1.83 (assume-push @p294 @t120) % 1.63/1.83 (assume-push @p295 @t122) % 1.63/1.83 (assume-push @p296 @t123) % 1.63/1.83 (assume-push @p297 @t125) % 1.63/1.83 (assume-push @p298 @t126) % 1.63/1.83 (assume-push @p299 @t129) % 1.63/1.83 (assume-push @p300 @t132) % 1.63/1.83 (assume-push @p301 @t133) % 1.63/1.83 (assume-push @p302 @t134) % 1.63/1.83 (assume-push @p303 @t135) % 1.63/1.83 (assume-push @p304 @t138) % 1.63/1.83 (assume-push @p305 @t139) % 1.63/1.83 (assume-push @p306 @t141) % 1.63/1.83 (assume-push @p307 @t93) % 1.63/1.83 (step @p160 :rule symm :premises (@p52)) % 1.63/1.83 (step @p161 :rule refl :args (@t55)) % 1.63/1.83 (step @p162 :rule cong :premises (@p161 @p160) :args (@t98)) % 1.63/1.83 (step @p163 :rule symm :premises (@p53)) % 1.63/1.83 (step @p59 :rule instantiate :premises (@p2) :args (@t64)) % 1.63/1.83 (step @p164 :rule trans :premises (@p59 @p160)) % 1.63/1.83 (step @p165 :rule refl :args (@t68)) % 1.63/1.83 (step @p166 :rule cong :premises (@p165 @p164) :args (@t108)) % 1.63/1.83 (step @p167 :rule symm :premises (@p67)) % 1.63/1.83 (step @p168 :rule symm :premises (@p91)) % 1.63/1.83 (step @p169 :rule refl :args (@t77)) % 1.63/1.83 (step @p170 :rule symm :premises (@p96)) % 1.63/1.83 (step @p171 :rule cong :premises (@p170 @p169) :args ((tptp.addition @t79 @t77))) % 1.63/1.83 (step @p172 :rule symm :premises (@p89)) % 1.63/1.83 (step @p173 :rule symm :premises (@p41)) % 1.63/1.83 (step @p174 :rule trans :premises (@p173 @p82)) % 1.63/1.83 (step @p175 :rule refl :args (tptp.one)) % 1.63/1.83 (step @p176 :rule cong :premises (@p175 @p174) :args ((tptp.addition tptp.one @t76))) % 1.63/1.83 (step @p177 :rule symm :premises (@p94)) % 1.63/1.83 (step @p178 :rule cong :premises (@p175 @p177) :args (@t90)) % 1.63/1.83 (step @p179 :rule refl :args (@t48)) % 1.63/1.83 (step @p180 :rule cong :premises (@p173 @p179) :args ((tptp.addition @t76 @t48))) % 1.63/1.83 (step @p181 :rule symm :premises (@p82)) % 1.63/1.83 (step @p73 :rule instantiate :premises (@p2) :args (@t74)) % 1.63/1.83 (step @p182 :rule symm :premises (@p88)) % 1.63/1.83 (step @p183 :rule trans :premises (@p182 @p73 @p181)) % 1.63/1.83 (step @p184 :rule trans :premises (@p183 @p41)) % 1.63/1.83 (step @p185 :rule cong :premises (@p184 @p179) :args (@t140)) % 1.63/1.83 (step @p186 :rule symm :premises (@p118)) % 1.63/1.83 (step @p187 :rule refl :args (@t71)) % 1.63/1.83 (step @p188 :rule cong :premises (@p173 @p187) :args (@t142)) % 1.63/1.83 (step @p189 :rule trans :premises (@p188 @p186 @p119 @p185 @p180 @p128 @p178 @p41)) % 1.63/1.83 (step @p190 :rule cong :premises (@p175 @p189) :args ((tptp.addition tptp.one @t142))) % 1.63/1.83 (step @p191 :rule symm :premises (@p188)) % 1.63/1.83 (step @p192 :rule trans :premises (@p118 @p191)) % 1.63/1.83 (step @p193 :rule cong :premises (@p175 @p192) :args (@t131)) % 1.63/1.83 (step @p194 :rule symm :premises (@p93)) % 1.63/1.83 (step @p195 :rule trans :premises (@p82 @p78)) % 1.63/1.83 (step @p196 :rule cong :premises (@p195 @p161) :args (@t68)) % 1.63/1.83 (step @p197 :rule trans :premises (@p82 @p196 @p194 @p193 @p190 @p176 @p172)) % 1.63/1.83 (step @p198 :rule cong :premises (@p96 @p197) :args ((tptp.addition @t61 @t55))) % 1.63/1.83 (step @p199 :rule refl :args (@t61)) % 1.63/1.83 (step @p200 :rule cong :premises (@p199 @p173) :args (@t124)) % 1.63/1.83 (step @p201 :rule symm :premises (@p164)) % 1.63/1.83 (step @p202 :rule cong :premises (@p179 @p201) :args (@t61)) % 1.63/1.83 (step @p203 :rule refl :args (@t33)) % 1.63/1.83 (step @p204 :rule cong :premises (@p160 @p203) :args (@t103)) % 1.63/1.83 (step @p205 :rule symm :premises (@p65)) % 1.63/1.83 (step @p206 :rule trans :premises (@p205 @p204)) % 1.63/1.83 (step @p207 :rule cong :premises (@p206 @p106) :args (@t113)) % 1.63/1.83 (step @p208 :rule trans :premises (@p69 @p207)) % 1.63/1.83 (step @p209 :rule cong :premises (@p208 @p175) :args (@t137)) % 1.63/1.83 (step @p210 :rule symm :premises (@p97)) % 1.63/1.83 (step @p211 :rule trans :premises (@p210 @p209 @p170 @p202 @p66 @p90 @p200 @p198 @p171 @p168 @p167 @p166 @p163 @p162 @p160)) % 1.63/1.83 (step @p212 :rule symm :premises (@p95)) % 1.63/1.83 (step @p213 :rule refl :args (@t60)) % 1.63/1.83 (step @p214 :rule cong :premises (@p213 @p212) :args (@t127)) % 1.63/1.83 (step @p215 :rule cong :premises (@p214 @p211) :args ((tptp.addition @t127 @t136))) % 1.63/1.83 (step @p216 :rule symm :premises (@p209)) % 1.63/1.83 (step @p217 :rule trans :premises (@p216 @p97)) % 1.63/1.83 (step @p218 :rule refl :args (@t127)) % 1.63/1.83 (step @p219 :rule cong :premises (@p218 @p217) :args (@t128)) % 1.63/1.83 (step @p220 :rule cong :premises (@p201 @p175) :args (@t117)) % 1.63/1.83 (step @p221 :rule symm :premises (@p47)) % 1.63/1.83 (step @p222 :rule symm :premises (@p40)) % 1.63/1.83 (step @p223 :rule cong :premises (@p222 @p106) :args (@t110)) % 1.63/1.83 (step @p224 :rule trans :premises (@p223 @p221 @p86 @p220 @p87)) % 1.63/1.83 (step @p225 :rule cong :premises (@p213 @p224) :args (@t111)) % 1.63/1.83 (step @p226 :rule symm :premises (@p68)) % 1.63/1.83 (step @p227 :rule symm :premises (@p54)) % 1.63/1.83 (step @p228 :rule cong :premises (@p39 @p106) :args (@t47)) % 1.63/1.83 (step @p229 :rule trans :premises (@p228 @p42)) % 1.63/1.83 (step @p230 :rule cong :premises (@p229 @p175) :args (@t69)) % 1.63/1.83 (step @p231 :rule trans :premises (@p40 @p230 @p227)) % 1.63/1.83 (step @p232 :rule cong :premises (@p231 @p106) :args (@t51)) % 1.63/1.83 (step @p233 :rule trans :premises (@p47 @p232 @p226 @p225 @p92 @p219 @p215)) % 1.63/1.83 (step-pop @p308 :rule scope :premises (@p233)) % 1.63/1.83 (step-pop @p309 :rule scope :premises (@p308)) % 1.63/1.83 (step-pop @p310 :rule scope :premises (@p309)) % 1.63/1.83 (step-pop @p311 :rule scope :premises (@p310)) % 1.63/1.83 (step-pop @p312 :rule scope :premises (@p311)) % 1.63/1.83 (step-pop @p313 :rule scope :premises (@p312)) % 1.63/1.83 (step-pop @p314 :rule scope :premises (@p313)) % 1.63/1.83 (step-pop @p315 :rule scope :premises (@p314)) % 1.63/1.83 (step-pop @p316 :rule scope :premises (@p315)) % 1.63/1.83 (step-pop @p317 :rule scope :premises (@p316)) % 1.63/1.83 (step-pop @p318 :rule scope :premises (@p317)) % 1.63/1.83 (step-pop @p319 :rule scope :premises (@p318)) % 1.63/1.83 (step-pop @p320 :rule scope :premises (@p319)) % 1.63/1.83 (step-pop @p321 :rule scope :premises (@p320)) % 1.63/1.83 (step-pop @p322 :rule scope :premises (@p321)) % 1.63/1.83 (step-pop @p323 :rule scope :premises (@p322)) % 1.63/1.83 (step-pop @p324 :rule scope :premises (@p323)) % 1.63/1.83 (step-pop @p325 :rule scope :premises (@p324)) % 1.63/1.83 (step-pop @p326 :rule scope :premises (@p325)) % 1.63/1.83 (step-pop @p327 :rule scope :premises (@p326)) % 1.63/1.84 (step-pop @p328 :rule scope :premises (@p327)) % 1.63/1.84 (step-pop @p329 :rule scope :premises (@p328)) % 1.63/1.84 (step-pop @p330 :rule scope :premises (@p329)) % 1.63/1.84 (step-pop @p331 :rule scope :premises (@p330)) % 1.63/1.84 (step-pop @p332 :rule scope :premises (@p331)) % 1.63/1.84 (step-pop @p333 :rule scope :premises (@p332)) % 1.63/1.84 (step-pop @p334 :rule scope :premises (@p333)) % 1.63/1.84 (step-pop @p335 :rule scope :premises (@p334)) % 1.63/1.84 (step-pop @p336 :rule scope :premises (@p335)) % 1.63/1.84 (step-pop @p337 :rule scope :premises (@p336)) % 1.63/1.84 (step-pop @p338 :rule scope :premises (@p337)) % 1.63/1.84 (step @p234 :rule process_scope :premises (@p338) :args (@t86)) % 1.63/1.84 (step @p266 :rule implies_elim :premises (@p234)) % 1.63/1.84 (step @p267 :rule cnf_and_neg :args (@t143)) % 1.63/1.84 (step @p268 :rule resolution :premises (@p267 @p266) :args (true @t143)) % 1.63/1.84 (step @p269 :rule reordering :premises (@p268) :args ((or (not @t44) (not @t94) (not @t95) (not @t97) (not @t52) (not @t57) (not @t99) (not @t101) (not @t65) (not @t104) (not @t106) (not @t109) (not @t112) (not @t115) (not @t75) (not @t116) (not @t118) (not @t120) @t86 (not @t122) (not @t123) (not @t125) (not @t126) (not @t129) (not @t132) (not @t133) (not @t134) (not @t135) (not @t138) (not @t139) (not @t141) (not @t93)))) % 1.63/1.84 (step @p270 false :rule chain_m_resolution :premises (@p269 @p128 @p119 @p118 @p117 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p82 @p78 @p69 @p68 @p67 @p66 @p65 @p64 @p54 @p53 @p52 @p47 @p42 @p41 @p40 @p39) :args (false (@list false false false true 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) (@list @t93 @t141 @t139 @t86 @t138 @t135 @t134 @t133 @t132 @t129 @t126 @t125 @t123 @t122 @t120 @t118 @t116 @t75 @t115 @t112 @t109 @t106 @t104 @t65 @t101 @t99 @t57 @t52 @t97 @t95 @t94 @t44))) % 1.63/1.84 ) % 1.63/1.84 % SZS output end Proof % 1.63/1.84 % cvc5 exiting %------------------------------------------------------------------------------