%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE044+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 : n027.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 1.24s 1.45s % Output : Proof 1.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE044+1 : 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 % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:11:21 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.24/1.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.24/1.45 % SZS status Theorem % 1.24/1.45 % SZS output start Proof % 1.24/1.45 ( % 1.24/1.45 (declare-sort $$unsorted 0) % 1.24/1.45 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 1.24/1.45 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.45 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.24/1.45 (declare-const tptp.zero $$unsorted) % 1.24/1.45 (declare-const tptp.one $$unsorted) % 1.24/1.45 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.45 (define @t1 () (@var "A" $$unsorted)) % 1.24/1.45 (define @t2 () (@var "B" $$unsorted)) % 1.24/1.45 (define @t3 () (tptp.addition @t1 @t2)) % 1.24/1.45 (define @t4 () (@list @t1 @t2)) % 1.24/1.45 (define @t5 () (@var "C" $$unsorted)) % 1.24/1.45 (define @t6 () (tptp.addition @t2 @t5)) % 1.24/1.45 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 1.24/1.45 (define @t8 () (@list @t1)) % 1.24/1.45 (define @t9 () (tptp.multiplication @t1 @t2)) % 1.24/1.45 (define @t10 () (tptp.multiplication @t2 @t5)) % 1.24/1.45 (define @t11 () (@list @t1 @t2 @t5)) % 1.24/1.45 (define @t12 () (tptp.multiplication @t1 tptp.one)) % 1.24/1.45 (define @t13 () (forall @t8 (= @t12 @t1))) % 1.24/1.45 (define @t14 () (tptp.multiplication tptp.one @t1)) % 1.24/1.45 (define @t15 () (forall @t8 (= @t14 @t1))) % 1.24/1.45 (define @t16 () (tptp.multiplication @t1 @t5)) % 1.24/1.45 (define @t17 () (tptp.leq @t1 @t2)) % 1.24/1.45 (define @t18 () (= @t17 (= @t3 @t2))) % 1.24/1.45 (define @t19 () (forall @t4 @t18)) % 1.24/1.45 (define @t20 () (tptp.star @t1)) % 1.24/1.45 (define @t21 () (tptp.leq (tptp.multiplication @t20 @t5) @t2)) % 1.24/1.45 (define @t22 () (tptp.addition @t9 @t5)) % 1.24/1.45 (define @t23 () (tptp.leq @t22 @t2)) % 1.24/1.45 (define @t24 () (forall @t11 (=> @t23 @t21))) % 1.24/1.45 (define @t25 () (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1)) % 1.24/1.45 (define @t26 () (tptp.leq @t22 @t1)) % 1.24/1.45 (define @t27 () (forall @t11 (=> @t26 @t25))) % 1.24/1.45 (define @t28 () (@var "X0" $$unsorted)) % 1.24/1.45 (define @t29 () (forall (@list @t28) (= (tptp.star (tptp.addition tptp.one @t28)) (tptp.star @t28)))) % 1.24/1.45 (define @t30 () (@quantifiers_skolemize @t29 0)) % 1.24/1.45 (define @t31 () (tptp.addition tptp.one @t30)) % 1.24/1.45 (define @t32 () (tptp.star @t31)) % 1.24/1.45 (define @t33 () (tptp.multiplication @t31 @t32)) % 1.24/1.45 (define @t34 () (tptp.addition tptp.one @t33)) % 1.24/1.45 (define @t35 () (@list @t31)) % 1.24/1.45 (define @t36 () (tptp.addition @t34 @t32)) % 1.24/1.45 (define @t37 () (= @t32 @t36)) % 1.24/1.45 (define @t38 () (tptp.leq @t34 @t32)) % 1.24/1.45 (define @t39 () (= @t38 @t37)) % 1.24/1.45 (define @t40 () (@list false false)) % 1.24/1.45 (define @t41 () (tptp.multiplication @t32 @t31)) % 1.24/1.45 (define @t42 () (tptp.addition tptp.one @t41)) % 1.24/1.45 (define @t43 () (tptp.addition @t42 @t32)) % 1.24/1.45 (define @t44 () (= @t32 @t43)) % 1.24/1.45 (define @t45 () (tptp.leq @t42 @t32)) % 1.24/1.45 (define @t46 () (= @t45 @t44)) % 1.24/1.45 (define @t47 () (tptp.multiplication @t32 @t30)) % 1.24/1.45 (define @t48 () (tptp.multiplication @t32 tptp.one)) % 1.24/1.45 (define @t49 () (tptp.multiplication @t30 @t32)) % 1.24/1.45 (define @t50 () (tptp.multiplication tptp.one @t32)) % 1.24/1.45 (define @t51 () (tptp.addition @t41 @t32)) % 1.24/1.45 (define @t52 () (tptp.addition tptp.one @t51)) % 1.24/1.45 (define @t53 () (= @t52 @t43)) % 1.24/1.45 (define @t54 () (@list @t32 @t41 tptp.one)) % 1.24/1.45 (define @t55 () (= @t43 @t52)) % 1.24/1.45 (define @t56 () (@list false)) % 1.24/1.45 (define @t57 () (@list @t7)) % 1.24/1.45 (define @t58 () (tptp.addition @t33 @t32)) % 1.24/1.45 (define @t59 () (tptp.addition tptp.one @t58)) % 1.24/1.45 (define @t60 () (= @t59 @t36)) % 1.24/1.45 (define @t61 () (@list @t32 @t33 tptp.one)) % 1.24/1.45 (define @t62 () (= @t36 @t59)) % 1.24/1.45 (define @t63 () (@list @t32)) % 1.24/1.45 (define @t64 () (tptp.multiplication @t31 @t42)) % 1.24/1.45 (define @t65 () (tptp.star @t30)) % 1.24/1.45 (define @t66 () (@list @t65)) % 1.24/1.45 (define @t67 () (tptp.addition @t41 tptp.one)) % 1.24/1.45 (define @t68 () (tptp.leq @t67 @t32)) % 1.24/1.45 (define @t69 () (tptp.leq @t50 @t32)) % 1.24/1.45 (define @t70 () (not @t68)) % 1.24/1.45 (define @t71 () (or @t70 @t69)) % 1.24/1.45 (define @t72 () (tptp.addition @t50 @t32)) % 1.24/1.45 (define @t73 () (= @t32 @t72)) % 1.24/1.45 (define @t74 () (= @t69 @t73)) % 1.24/1.45 (define @t75 () (tptp.multiplication tptp.one @t65)) % 1.24/1.45 (define @t76 () (@list @t75 @t42)) % 1.24/1.45 (define @t77 () (tptp.multiplication @t42 @t30)) % 1.24/1.45 (define @t78 () (tptp.addition @t77 tptp.one)) % 1.24/1.45 (define @t79 () (tptp.addition @t48 @t47)) % 1.24/1.45 (define @t80 () (tptp.multiplication @t42 @t31)) % 1.24/1.45 (define @t81 () (tptp.addition @t47 @t72)) % 1.24/1.45 (define @t82 () (tptp.addition @t47 @t48)) % 1.24/1.45 (define @t83 () (tptp.addition @t30 tptp.one)) % 1.24/1.45 (define @t84 () (tptp.multiplication @t31 @t43)) % 1.24/1.45 (define @t85 () (tptp.addition @t64 @t33)) % 1.24/1.45 (define @t86 () (tptp.addition @t85 @t32)) % 1.24/1.45 (define @t87 () (tptp.addition @t64 @t58)) % 1.24/1.45 (define @t88 () (tptp.addition @t49 @t50)) % 1.24/1.45 (define @t89 () (tptp.addition @t88 @t32)) % 1.24/1.45 (define @t90 () (tptp.addition @t50 @t49)) % 1.24/1.45 (define @t91 () (tptp.addition @t90 tptp.one)) % 1.24/1.45 (define @t92 () (tptp.addition @t49 tptp.one)) % 1.24/1.45 (define @t93 () (tptp.addition @t48 @t92)) % 1.24/1.45 (define @t94 () (tptp.addition @t41 @t93)) % 1.24/1.45 (define @t95 () (tptp.addition tptp.one @t94)) % 1.24/1.45 (define @t96 () (@list @t42)) % 1.24/1.45 (define @t97 () (tptp.addition @t82 tptp.one)) % 1.24/1.45 (define @t98 () (tptp.addition @t32 @t77)) % 1.24/1.45 (define @t99 () (= @t42 (tptp.addition @t78 @t42))) % 1.24/1.45 (define @t100 () (tptp.leq @t78 @t42)) % 1.24/1.45 (define @t101 () (= @t100 @t99)) % 1.24/1.45 (define @t102 () (tptp.leq @t75 @t42)) % 1.24/1.45 (define @t103 () (not @t100)) % 1.24/1.45 (define @t104 () (or @t103 @t102)) % 1.24/1.45 (define @t105 () (tptp.addition @t75 @t42)) % 1.24/1.45 (define @t106 () (= @t42 @t105)) % 1.24/1.45 (define @t107 () (= @t102 @t106)) % 1.24/1.45 (define @t108 () (@list @t30)) % 1.24/1.45 (define @t109 () (tptp.multiplication @t30 @t65)) % 1.24/1.45 (define @t110 () (tptp.leq (tptp.addition @t109 tptp.one) @t65)) % 1.24/1.45 (define @t111 () (tptp.multiplication @t65 tptp.one)) % 1.24/1.45 (define @t112 () (tptp.leq @t111 @t65)) % 1.24/1.45 (define @t113 () (not @t110)) % 1.24/1.45 (define @t114 () (or @t113 @t112)) % 1.24/1.45 (define @t115 () (tptp.multiplication @t65 @t30)) % 1.24/1.45 (define @t116 () (tptp.addition tptp.one @t115)) % 1.24/1.45 (define @t117 () (= @t65 (tptp.addition @t116 @t65))) % 1.24/1.45 (define @t118 () (tptp.leq @t116 @t65)) % 1.24/1.45 (define @t119 () (= @t118 @t117)) % 1.24/1.45 (define @t120 () (tptp.multiplication @t65 @t31)) % 1.24/1.45 (define @t121 () (tptp.addition @t120 tptp.one)) % 1.24/1.45 (define @t122 () (tptp.leq @t121 @t65)) % 1.24/1.45 (define @t123 () (tptp.leq @t50 @t65)) % 1.24/1.45 (define @t124 () (not @t122)) % 1.24/1.45 (define @t125 () (or @t124 @t123)) % 1.24/1.45 (define @t126 () (tptp.leq @t105 @t65)) % 1.24/1.45 (define @t127 () (= @t65 (tptp.addition @t105 @t65))) % 1.24/1.45 (define @t128 () (= @t126 @t127)) % 1.24/1.45 (define @t129 () (= @t31 @t83)) % 1.24/1.45 (define @t130 () (= @t34 (tptp.addition @t33 tptp.one))) % 1.24/1.45 (define @t131 () (= @t41 @t79)) % 1.24/1.45 (define @t132 () (= @t33 @t90)) % 1.24/1.45 (define @t133 () (= @t79 @t82)) % 1.24/1.45 (define @t134 () (= @t90 @t88)) % 1.24/1.45 (define @t135 () (= (tptp.addition @t50 @t92) @t91)) % 1.24/1.45 (define @t136 () (= @t32 @t48)) % 1.24/1.45 (define @t137 () (= @t32 @t50)) % 1.24/1.45 (define @t138 () (= @t84 @t85)) % 1.24/1.45 (define @t139 () (= @t87 @t86)) % 1.24/1.45 (define @t140 () (= @t65 @t75)) % 1.24/1.45 (define @t141 () (= (tptp.addition @t49 @t72) @t89)) % 1.24/1.45 (define @t142 () (= @t81 (tptp.addition (tptp.addition @t47 @t50) @t32))) % 1.24/1.45 (define @t143 () (tptp.addition @t42 @t75)) % 1.24/1.45 (define @t144 () (= @t105 @t143)) % 1.24/1.45 (define @t145 () (= @t32 @t65)) % 1.24/1.45 (define @t146 () (and @t129 @t130 @t131 @t132 @t37 @t44 @t133 @t134 @t55 @t62 @t135 @t136 @t137 @t138 @t139 @t140 @t73 @t141 @t142 @t106 @t144 @t127)) % 1.24/1.45 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 1.24/1.45 (assume @p2 @t7) % 1.24/1.45 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 1.24/1.45 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 1.24/1.45 (assume @p5 (forall @t11 (= (tptp.multiplication @t1 @t10) (tptp.multiplication @t9 @t5)))) % 1.24/1.45 (assume @p6 @t13) % 1.24/1.45 (assume @p7 @t15) % 1.24/1.45 (assume @p8 (forall @t11 (= (tptp.multiplication @t1 @t6) (tptp.addition @t9 @t16)))) % 1.24/1.45 (assume @p9 (forall @t11 (= (tptp.multiplication @t3 @t5) (tptp.addition @t16 @t10)))) % 1.24/1.45 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 1.24/1.45 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 1.24/1.45 (assume @p12 @t19) % 1.24/1.45 (assume @p13 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t20)) @t20))) % 1.24/1.45 (assume @p14 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t20 @t1)) @t20))) % 1.24/1.45 (assume @p15 @t24) % 1.24/1.45 (assume @p16 @t27) % 1.24/1.45 (assume @p17 (not @t29)) % 1.24/1.45 (assume @p18 true) % 1.24/1.45 (step @p19 :rule skolemize :premises (@p17)) % 1.24/1.45 (step @p20 :rule instantiate :premises (@p1) :args ((@list tptp.one @t30))) % 1.24/1.45 (step @p21 :rule instantiate :premises (@p1) :args ((@list tptp.one @t33))) % 1.24/1.45 (step @p22 :rule instantiate :premises (@p8) :args ((@list @t32 tptp.one @t30))) % 1.24/1.45 (step @p23 :rule instantiate :premises (@p9) :args ((@list tptp.one @t30 @t32))) % 1.24/1.45 (step @p24 :rule eq-symm :args (@t3 @t2)) % 1.24/1.45 (step @p25 :rule refl :args (@t17)) % 1.24/1.45 (step @p26 :rule cong :premises (@p25 @p24) :args (@t18)) % 1.24/1.45 (step @p27 :rule cong :premises (@p26) :args (@t19)) % 1.24/1.45 (step @p28 :rule eq_resolve :premises (@p12 @p27)) % 1.24/1.45 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t34 @t32))) % 1.24/1.45 (step @p30 :rule instantiate :premises (@p13) :args (@t35)) % 1.24/1.45 (step @p31 :rule cnf_equiv_pos1 :args (@t39)) % 1.24/1.45 (step @p32 :rule reordering :premises (@p31) :args ((or (not @t38) @t37 (not @t39)))) % 1.24/1.45 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p29) :args (@t37 @t40 (@list @t38 @t39))) % 1.24/1.45 (step @p34 :rule instantiate :premises (@p28) :args ((@list @t42 @t32))) % 1.24/1.45 (step @p35 :rule instantiate :premises (@p14) :args (@t35)) % 1.24/1.45 (step @p36 :rule cnf_equiv_pos1 :args (@t46)) % 1.24/1.45 (step @p37 :rule reordering :premises (@p36) :args ((or (not @t45) @t44 (not @t46)))) % 1.24/1.45 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34) :args (@t44 @t40 (@list @t45 @t46))) % 1.24/1.45 (step @p39 :rule instantiate :premises (@p1) :args ((@list @t48 @t47))) % 1.24/1.45 (step @p40 :rule instantiate :premises (@p1) :args ((@list @t50 @t49))) % 1.24/1.45 (step @p41 :rule eq-symm :args (@t52 @t43)) % 1.24/1.45 (step @p42 :rule refl :args (@t7)) % 1.24/1.45 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t7 @t53))) % 1.24/1.45 (assume-push @p324 @t7) % 1.24/1.45 (step @p45 :rule instantiate :premises (@p2) :args (@t54)) % 1.24/1.45 (step-pop @p325 :rule scope :premises (@p45)) % 1.24/1.45 (step @p46 :rule process_scope :premises (@p325) :args (@t53)) % 1.24/1.45 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 1.24/1.45 (step @p49 :rule implies_elim :premises (@p48)) % 1.24/1.45 (step @p50 :rule chain_m_resolution :premises (@p49 @p2) :args (@t55 @t56 @t57)) % 1.24/1.45 (step @p51 :rule eq-symm :args (@t59 @t36)) % 1.24/1.45 (step @p52 :rule cong :premises (@p42 @p51) :args ((=> @t7 @t60))) % 1.24/1.45 (assume-push @p326 @t7) % 1.24/1.45 (step @p54 :rule instantiate :premises (@p2) :args (@t61)) % 1.24/1.45 (step-pop @p327 :rule scope :premises (@p54)) % 1.24/1.45 (step @p55 :rule process_scope :premises (@p327) :args (@t60)) % 1.24/1.45 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 1.24/1.45 (step @p58 :rule implies_elim :premises (@p57)) % 1.24/1.45 (step @p59 :rule chain_m_resolution :premises (@p58 @p2) :args (@t62 @t56 @t57)) % 1.24/1.45 (step @p60 :rule instantiate :premises (@p2) :args ((@list tptp.one @t49 @t50))) % 1.24/1.45 (step @p61 :rule eq-symm :args (@t12 @t1)) % 1.24/1.45 (step @p62 :rule cong :premises (@p61) :args (@t13)) % 1.24/1.45 (step @p63 :rule eq_resolve :premises (@p6 @p62)) % 1.24/1.45 (step @p64 :rule instantiate :premises (@p63) :args (@t63)) % 1.24/1.45 (step @p65 :rule eq-symm :args (@t14 @t1)) % 1.24/1.45 (step @p66 :rule cong :premises (@p65) :args (@t15)) % 1.24/1.45 (step @p67 :rule eq_resolve :premises (@p7 @p66)) % 1.24/1.45 (step @p68 :rule instantiate :premises (@p67) :args (@t63)) % 1.24/1.45 (step @p69 :rule instantiate :premises (@p8) :args ((@list @t31 @t42 @t32))) % 1.24/1.45 (step @p70 :rule instantiate :premises (@p2) :args ((@list @t32 @t33 @t64))) % 1.24/1.45 (step @p71 :rule instantiate :premises (@p67) :args (@t66)) % 1.24/1.45 (step @p72 :rule instantiate :premises (@p28) :args ((@list @t50 @t32))) % 1.24/1.45 (step @p73 :rule bool-impl-elim :args (@t26 @t25)) % 1.24/1.45 (step @p74 :rule cong :premises (@p73) :args (@t27)) % 1.24/1.45 (step @p75 :rule eq_resolve :premises (@p16 @p74)) % 1.24/1.45 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t32 @t31 tptp.one))) % 1.24/1.45 (step @p77 :rule true_intro :premises (@p35)) % 1.24/1.45 (step @p78 :rule refl :args (@t32)) % 1.24/1.45 (step @p79 :rule instantiate :premises (@p1) :args ((@list tptp.one @t41))) % 1.24/1.45 (step @p80 :rule symm :premises (@p79)) % 1.24/1.45 (step @p81 :rule cong :premises (@p80 @p78) :args (@t68)) % 1.24/1.45 (step @p82 :rule trans :premises (@p81 @p77)) % 1.24/1.45 (step @p83 :rule true_elim :premises (@p82)) % 1.24/1.45 (step @p84 :rule cnf_or_pos :args (@t71)) % 1.24/1.45 (step @p85 :rule reordering :premises (@p84) :args ((or @t70 @t69 (not @t71)))) % 1.24/1.45 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p76) :args (@t69 @t40 (@list @t68 @t71))) % 1.24/1.45 (step @p87 :rule cnf_equiv_pos1 :args (@t74)) % 1.24/1.45 (step @p88 :rule reordering :premises (@p87) :args ((or (not @t69) @t73 (not @t74)))) % 1.24/1.45 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p72) :args (@t73 @t40 (@list @t69 @t74))) % 1.24/1.45 (step @p90 :rule instantiate :premises (@p2) :args ((@list @t32 @t50 @t49))) % 1.24/1.45 (step @p91 :rule instantiate :premises (@p2) :args ((@list @t32 @t50 @t47))) % 1.24/1.45 (step @p92 :rule instantiate :premises (@p28) :args (@t76)) % 1.24/1.45 (step @p93 :rule instantiate :premises (@p75) :args ((@list @t42 @t30 tptp.one))) % 1.24/1.45 (step @p94 :rule instantiate :premises (@p28) :args ((@list @t78 @t42))) % 1.24/1.45 (step @p95 :rule refl :args (tptp.one)) % 1.24/1.45 (step @p96 :rule symm :premises (@p22)) % 1.24/1.45 (step @p97 :rule cong :premises (@p96 @p95) :args ((tptp.addition @t79 tptp.one))) % 1.24/1.45 (step @p98 :rule refl :args (@t31)) % 1.24/1.45 (step @p99 :rule symm :premises (@p38)) % 1.24/1.45 (step @p100 :rule cong :premises (@p99 @p98) :args ((tptp.multiplication @t43 @t31))) % 1.24/1.45 (step @p101 :rule instantiate :premises (@p9) :args ((@list @t42 @t32 @t31))) % 1.24/1.45 (step @p102 :rule symm :premises (@p101)) % 1.24/1.45 (step @p103 :rule trans :premises (@p102 @p100)) % 1.24/1.45 (step @p104 :rule trans :premises (@p103 @p22)) % 1.24/1.45 (step @p105 :rule cong :premises (@p104 @p95) :args ((tptp.addition (tptp.addition @t80 @t41) tptp.one))) % 1.24/1.45 (step @p106 :rule instantiate :premises (@p2) :args ((@list tptp.one @t41 @t80))) % 1.24/1.45 (step @p107 :rule instantiate :premises (@p1) :args ((@list @t80 @t67))) % 1.24/1.45 (step @p108 :rule symm :premises (@p107)) % 1.24/1.45 (step @p109 :rule refl :args (@t80)) % 1.24/1.45 (step @p110 :rule symm :premises (@p39)) % 1.24/1.45 (step @p111 :rule symm :premises (@p89)) % 1.24/1.45 (step @p112 :rule trans :premises (@p111 @p64)) % 1.24/1.45 (step @p113 :rule refl :args (@t47)) % 1.24/1.45 (step @p114 :rule cong :premises (@p113 @p112) :args (@t81)) % 1.24/1.45 (step @p115 :rule symm :premises (@p91)) % 1.24/1.45 (step @p116 :rule symm :premises (@p64)) % 1.24/1.45 (step @p117 :rule trans :premises (@p116 @p68)) % 1.24/1.45 (step @p118 :rule cong :premises (@p113 @p117) :args (@t82)) % 1.24/1.45 (step @p119 :rule trans :premises (@p22 @p39 @p118)) % 1.24/1.45 (step @p120 :rule cong :premises (@p119 @p78) :args (@t51)) % 1.24/1.45 (step @p121 :rule symm :premises (@p33)) % 1.24/1.45 (step @p54 :rule instantiate :premises (@p2) :args (@t61)) % 1.24/1.45 (step @p122 :rule symm :premises (@p20)) % 1.24/1.45 (step @p123 :rule cong :premises (@p122 @p78) :args ((tptp.multiplication @t83 @t32))) % 1.24/1.45 (step @p124 :rule cong :premises (@p20 @p99) :args (@t84)) % 1.24/1.45 (step @p125 :rule symm :premises (@p69)) % 1.24/1.45 (step @p126 :rule trans :premises (@p125 @p124 @p123)) % 1.24/1.45 (step @p127 :rule cong :premises (@p126 @p78) :args (@t86)) % 1.24/1.45 (step @p128 :rule trans :premises (@p70 @p127)) % 1.24/1.45 (step @p129 :rule cong :premises (@p95 @p128) :args ((tptp.addition tptp.one @t87))) % 1.24/1.45 (step @p130 :rule symm :premises (@p70)) % 1.24/1.45 (step @p131 :rule symm :premises (@p127)) % 1.24/1.45 (step @p132 :rule symm :premises (@p23)) % 1.24/1.45 (step @p133 :rule symm :premises (@p40)) % 1.24/1.45 (step @p134 :rule trans :premises (@p133 @p132)) % 1.24/1.45 (step @p135 :rule cong :premises (@p134 @p78) :args (@t89)) % 1.24/1.45 (step @p136 :rule symm :premises (@p68)) % 1.24/1.45 (step @p137 :rule trans :premises (@p136 @p89)) % 1.24/1.45 (step @p138 :rule refl :args (@t49)) % 1.24/1.45 (step @p139 :rule cong :premises (@p138 @p137) :args (@t88)) % 1.24/1.45 (step @p140 :rule trans :premises (@p23 @p40 @p139 @p90 @p135 @p131 @p130)) % 1.24/1.45 (step @p141 :rule cong :premises (@p95 @p140) :args (@t34)) % 1.24/1.45 (step @p142 :rule symm :premises (@p21)) % 1.24/1.45 (step @p143 :rule cong :premises (@p132 @p95) :args (@t91)) % 1.24/1.45 (step @p144 :rule refl :args (@t92)) % 1.24/1.45 (step @p145 :rule cong :premises (@p117 @p144) :args (@t93)) % 1.24/1.45 (step @p146 :rule trans :premises (@p145 @p60 @p143 @p142 @p141 @p129 @p54 @p121)) % 1.24/1.45 (step @p147 :rule refl :args (@t41)) % 1.24/1.45 (step @p148 :rule cong :premises (@p147 @p146) :args (@t94)) % 1.24/1.45 (step @p149 :rule trans :premises (@p148 @p120 @p115 @p114 @p110 @p96)) % 1.24/1.45 (step @p150 :rule cong :premises (@p95 @p149) :args (@t95)) % 1.24/1.45 (step @p151 :rule symm :premises (@p148)) % 1.24/1.45 (step @p152 :rule cong :premises (@p95 @p151) :args (@t52)) % 1.24/1.45 (step @p153 :rule trans :premises (@p38 @p50 @p152 @p150)) % 1.24/1.45 (step @p154 :rule trans :premises (@p116 @p153 @p79)) % 1.24/1.45 (step @p155 :rule cong :premises (@p154 @p109) :args ((tptp.addition @t48 @t80))) % 1.24/1.45 (step @p156 :rule instantiate :premises (@p8) :args ((@list @t42 tptp.one @t30))) % 1.24/1.45 (step @p157 :rule symm :premises (@p156)) % 1.24/1.45 (step @p158 :rule instantiate :premises (@p1) :args ((@list (tptp.multiplication @t42 tptp.one) @t77))) % 1.24/1.45 (step @p159 :rule symm :premises (@p158)) % 1.24/1.45 (step @p160 :rule instantiate :premises (@p63) :args (@t96)) % 1.24/1.45 (step @p161 :rule cong :premises (@p110 @p95) :args (@t97)) % 1.24/1.45 (step @p162 :rule trans :premises (@p161 @p97 @p80 @p160)) % 1.24/1.45 (step @p163 :rule refl :args (@t77)) % 1.24/1.45 (step @p164 :rule cong :premises (@p163 @p162) :args ((tptp.addition @t77 @t97))) % 1.24/1.45 (step @p165 :rule symm :premises (@p161)) % 1.24/1.45 (step @p166 :rule symm :premises (@p97)) % 1.24/1.45 (step @p167 :rule trans :premises (@p116 @p38 @p50 @p152 @p150 @p79 @p166 @p165)) % 1.24/1.45 (step @p168 :rule cong :premises (@p163 @p167) :args ((tptp.addition @t77 @t48))) % 1.24/1.45 (step @p169 :rule instantiate :premises (@p1) :args ((@list @t48 @t77))) % 1.24/1.45 (step @p170 :rule cong :premises (@p64 @p163) :args (@t98)) % 1.24/1.45 (step @p171 :rule trans :premises (@p170 @p169 @p168 @p164 @p159 @p157)) % 1.24/1.45 (step @p172 :rule symm :premises (@p117)) % 1.24/1.45 (step @p173 :rule cong :premises (@p172 @p171) :args ((tptp.addition @t50 @t98))) % 1.24/1.45 (step @p174 :rule symm :premises (@p170)) % 1.24/1.45 (step @p175 :rule symm :premises (@p169)) % 1.24/1.45 (step @p176 :rule symm :premises (@p168)) % 1.24/1.45 (step @p177 :rule symm :premises (@p164)) % 1.24/1.45 (step @p178 :rule instantiate :premises (@p67) :args (@t96)) % 1.24/1.45 (step @p179 :rule symm :premises (@p178)) % 1.24/1.45 (step @p180 :rule cong :premises (@p179 @p98) :args ((tptp.multiplication (tptp.multiplication tptp.one @t42) @t31))) % 1.24/1.45 (step @p181 :rule trans :premises (@p153 @p178)) % 1.24/1.45 (step @p182 :rule cong :premises (@p181 @p98) :args (@t41)) % 1.24/1.45 (step @p183 :rule trans :premises (@p182 @p180 @p156 @p158 @p177 @p176 @p175 @p174)) % 1.24/1.45 (step @p184 :rule cong :premises (@p68 @p183) :args ((tptp.addition @t32 @t41))) % 1.24/1.45 (step @p185 :rule instantiate :premises (@p1) :args ((@list @t41 @t32))) % 1.24/1.45 (step @p186 :rule symm :premises (@p120)) % 1.24/1.45 (step @p187 :rule symm :premises (@p114)) % 1.24/1.45 (step @p188 :rule trans :premises (@p187 @p91 @p186 @p185 @p184 @p173 @p155 @p108 @p106 @p105 @p97 @p80)) % 1.24/1.45 (step @p189 :rule instantiate :premises (@p1) :args ((@list @t77 tptp.one))) % 1.24/1.45 (step @p190 :rule symm :premises (@p189)) % 1.24/1.45 (step @p191 :rule cong :premises (@p190 @p188) :args ((tptp.addition (tptp.addition tptp.one @t77) @t82))) % 1.24/1.45 (step @p192 :rule instantiate :premises (@p2) :args ((@list @t82 @t77 tptp.one))) % 1.24/1.45 (step @p193 :rule instantiate :premises (@p2) :args ((@list @t48 @t47 @t77))) % 1.24/1.45 (step @p194 :rule symm :premises (@p193)) % 1.24/1.45 (step @p195 :rule refl :args (@t48)) % 1.24/1.45 (step @p196 :rule instantiate :premises (@p9) :args ((@list @t42 @t32 @t30))) % 1.24/1.45 (step @p197 :rule refl :args (@t30)) % 1.24/1.45 (step @p198 :rule cong :premises (@p38 @p197) :args (@t47)) % 1.24/1.45 (step @p199 :rule trans :premises (@p198 @p196)) % 1.24/1.45 (step @p200 :rule cong :premises (@p199 @p195) :args (@t82)) % 1.24/1.45 (step @p201 :rule trans :premises (@p22 @p39 @p200 @p194)) % 1.24/1.45 (step @p202 :rule cong :premises (@p95 @p201) :args (@t42)) % 1.24/1.45 (step @p203 :rule trans :premises (@p202 @p192 @p191)) % 1.24/1.45 (step @p204 :rule cnf_equiv_pos2 :args (@t101)) % 1.24/1.45 (step @p205 :rule reordering :premises (@p204) :args ((or @t100 (not @t99) (not @t101)))) % 1.24/1.45 (step @p206 :rule chain_m_resolution :premises (@p205 @p203 @p94) :args (@t100 @t40 (@list @t99 @t101))) % 1.24/1.45 (step @p207 :rule cnf_or_pos :args (@t104)) % 1.24/1.45 (step @p208 :rule reordering :premises (@p207) :args ((or @t103 @t102 (not @t104)))) % 1.24/1.45 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p93) :args (@t102 @t40 (@list @t100 @t104))) % 1.24/1.45 (step @p210 :rule cnf_equiv_pos1 :args (@t107)) % 1.24/1.45 (step @p211 :rule reordering :premises (@p210) :args ((or (not @t102) @t106 (not @t107)))) % 1.24/1.45 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p92) :args (@t106 @t40 (@list @t102 @t107))) % 1.24/1.45 (step @p213 :rule instantiate :premises (@p1) :args (@t76)) % 1.24/1.45 (step @p214 :rule instantiate :premises (@p28) :args ((@list @t105 @t65))) % 1.24/1.45 (step @p215 :rule instantiate :premises (@p75) :args ((@list @t65 @t31 tptp.one))) % 1.24/1.45 (step @p216 :rule bool-impl-elim :args (@t23 @t21)) % 1.24/1.45 (step @p217 :rule cong :premises (@p216) :args (@t24)) % 1.24/1.45 (step @p218 :rule eq_resolve :premises (@p15 @p217)) % 1.24/1.45 (step @p219 :rule instantiate :premises (@p218) :args ((@list @t30 @t65 tptp.one))) % 1.24/1.45 (step @p220 :rule instantiate :premises (@p13) :args (@t108)) % 1.24/1.45 (step @p221 :rule true_intro :premises (@p220)) % 1.24/1.45 (step @p222 :rule refl :args (@t65)) % 1.24/1.45 (step @p223 :rule instantiate :premises (@p1) :args ((@list tptp.one @t109))) % 1.24/1.45 (step @p224 :rule symm :premises (@p223)) % 1.24/1.45 (step @p225 :rule cong :premises (@p224 @p222) :args (@t110)) % 1.24/1.45 (step @p226 :rule trans :premises (@p225 @p221)) % 1.24/1.45 (step @p227 :rule true_elim :premises (@p226)) % 1.24/1.45 (step @p228 :rule cnf_or_pos :args (@t114)) % 1.24/1.45 (step @p229 :rule reordering :premises (@p228) :args ((or @t113 @t112 (not @t114)))) % 1.24/1.45 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p219) :args (@t112 @t40 (@list @t110 @t114))) % 1.24/1.45 (step @p231 :rule true_intro :premises (@p230)) % 1.24/1.45 (step @p232 :rule instantiate :premises (@p63) :args (@t66)) % 1.24/1.45 (step @p233 :rule instantiate :premises (@p28) :args ((@list @t116 @t65))) % 1.24/1.45 (step @p234 :rule instantiate :premises (@p14) :args (@t108)) % 1.24/1.45 (step @p235 :rule cnf_equiv_pos1 :args (@t119)) % 1.24/1.45 (step @p236 :rule reordering :premises (@p235) :args ((or (not @t118) @t117 (not @t119)))) % 1.24/1.45 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p233) :args (@t117 @t40 (@list @t118 @t119))) % 1.24/1.45 (step @p238 :rule symm :premises (@p237)) % 1.24/1.45 (step @p239 :rule instantiate :premises (@p2) :args ((@list @t65 @t115 tptp.one))) % 1.24/1.45 (step @p240 :rule instantiate :premises (@p1) :args ((@list tptp.one (tptp.addition @t115 @t65)))) % 1.24/1.45 (step @p241 :rule symm :premises (@p240)) % 1.24/1.45 (step @p242 :rule symm :premises (@p232)) % 1.24/1.45 (step @p243 :rule refl :args (@t115)) % 1.24/1.45 (step @p244 :rule cong :premises (@p243 @p242) :args ((tptp.addition @t115 @t111))) % 1.24/1.45 (step @p245 :rule instantiate :premises (@p8) :args ((@list @t65 @t30 tptp.one))) % 1.24/1.45 (step @p246 :rule cong :premises (@p222 @p20) :args (@t120)) % 1.24/1.45 (step @p247 :rule trans :premises (@p246 @p245 @p244)) % 1.24/1.45 (step @p248 :rule cong :premises (@p247 @p95) :args (@t121)) % 1.24/1.45 (step @p249 :rule trans :premises (@p248 @p241 @p239 @p238)) % 1.24/1.45 (step @p250 :rule trans :premises (@p249 @p232)) % 1.24/1.45 (step @p251 :rule cong :premises (@p250 @p222) :args (@t122)) % 1.24/1.45 (step @p252 :rule trans :premises (@p251 @p231)) % 1.24/1.45 (step @p253 :rule true_elim :premises (@p252)) % 1.24/1.45 (step @p254 :rule cnf_or_pos :args (@t125)) % 1.24/1.45 (step @p255 :rule reordering :premises (@p254) :args ((or @t124 @t123 (not @t125)))) % 1.24/1.45 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p215) :args (@t123 @t40 (@list @t122 @t125))) % 1.24/1.45 (step @p257 :rule true_intro :premises (@p256)) % 1.24/1.45 (step @p45 :rule instantiate :premises (@p2) :args (@t54)) % 1.24/1.45 (step @p258 :rule cong :premises (@p95 @p148) :args (@t95)) % 1.24/1.45 (step @p259 :rule trans :premises (@p22 @p39 @p187 @p91 @p186 @p151)) % 1.24/1.45 (step @p260 :rule cong :premises (@p95 @p259) :args (@t42)) % 1.24/1.45 (step @p261 :rule symm :premises (@p212)) % 1.24/1.45 (step @p262 :rule trans :premises (@p261 @p260 @p258 @p45 @p99 @p64)) % 1.24/1.45 (step @p263 :rule trans :premises (@p262 @p117)) % 1.24/1.45 (step @p264 :rule cong :premises (@p263 @p222) :args (@t126)) % 1.24/1.45 (step @p265 :rule trans :premises (@p264 @p257)) % 1.24/1.45 (step @p266 :rule true_elim :premises (@p265)) % 1.24/1.45 (step @p267 :rule cnf_equiv_pos1 :args (@t128)) % 1.24/1.45 (step @p268 :rule reordering :premises (@p267) :args ((or (not @t126) @t127 (not @t128)))) % 1.24/1.45 (step @p269 :rule chain_m_resolution :premises (@p268 @p266 @p214) :args (@t127 @t40 (@list @t126 @t128))) % 1.24/1.45 (assume-push @p328 @t129) % 1.24/1.45 (assume-push @p329 @t130) % 1.24/1.45 (assume-push @p330 @t131) % 1.24/1.45 (assume-push @p331 @t132) % 1.24/1.45 (assume-push @p332 @t37) % 1.24/1.45 (assume-push @p333 @t44) % 1.24/1.45 (assume-push @p334 @t133) % 1.24/1.45 (assume-push @p335 @t134) % 1.24/1.45 (assume-push @p336 @t55) % 1.24/1.45 (assume-push @p337 @t62) % 1.24/1.45 (assume-push @p338 @t135) % 1.24/1.45 (assume-push @p339 @t136) % 1.24/1.45 (assume-push @p340 @t137) % 1.24/1.45 (assume-push @p341 @t138) % 1.24/1.45 (assume-push @p342 @t139) % 1.24/1.45 (assume-push @p343 @t140) % 1.24/1.45 (assume-push @p344 @t73) % 1.24/1.45 (assume-push @p345 @t141) % 1.24/1.45 (assume-push @p346 @t142) % 1.24/1.45 (assume-push @p347 @t106) % 1.24/1.45 (assume-push @p348 @t144) % 1.24/1.45 (assume-push @p349 @t127) % 1.24/1.45 (step @p292 :rule symm :premises (@p269)) % 1.24/1.45 (step @p293 :rule symm :premises (@p71)) % 1.24/1.45 (step @p294 :rule cong :premises (@p212 @p293) :args (@t143)) % 1.24/1.45 (step @p295 :rule trans :premises (@p38 @p50 @p152 @p150 @p212 @p213 @p294 @p292)) % 1.24/1.45 (step-pop @p350 :rule scope :premises (@p295)) % 1.24/1.45 (step-pop @p351 :rule scope :premises (@p350)) % 1.24/1.45 (step-pop @p352 :rule scope :premises (@p351)) % 1.24/1.45 (step-pop @p353 :rule scope :premises (@p352)) % 1.24/1.45 (step-pop @p354 :rule scope :premises (@p353)) % 1.24/1.45 (step-pop @p355 :rule scope :premises (@p354)) % 1.24/1.45 (step-pop @p356 :rule scope :premises (@p355)) % 1.24/1.45 (step-pop @p357 :rule scope :premises (@p356)) % 1.24/1.45 (step-pop @p358 :rule scope :premises (@p357)) % 1.24/1.45 (step-pop @p359 :rule scope :premises (@p358)) % 1.24/1.45 (step-pop @p360 :rule scope :premises (@p359)) % 1.24/1.45 (step-pop @p361 :rule scope :premises (@p360)) % 1.24/1.45 (step-pop @p362 :rule scope :premises (@p361)) % 1.24/1.45 (step-pop @p363 :rule scope :premises (@p362)) % 1.24/1.46 (step-pop @p364 :rule scope :premises (@p363)) % 1.24/1.46 (step-pop @p365 :rule scope :premises (@p364)) % 1.24/1.46 (step-pop @p366 :rule scope :premises (@p365)) % 1.24/1.46 (step-pop @p367 :rule scope :premises (@p366)) % 1.24/1.46 (step-pop @p368 :rule scope :premises (@p367)) % 1.24/1.46 (step-pop @p369 :rule scope :premises (@p368)) % 1.24/1.46 (step-pop @p370 :rule scope :premises (@p369)) % 1.24/1.46 (step-pop @p371 :rule scope :premises (@p370)) % 1.24/1.46 (step @p296 :rule process_scope :premises (@p371) :args (@t145)) % 1.24/1.46 (step @p319 :rule implies_elim :premises (@p296)) % 1.24/1.46 (step @p320 :rule cnf_and_neg :args (@t146)) % 1.24/1.46 (step @p321 :rule resolution :premises (@p320 @p319) :args (true @t146)) % 1.24/1.46 (step @p322 :rule reordering :premises (@p321) :args ((or @t145 (not @t129) (not @t130) (not @t131) (not @t132) (not @t37) (not @t44) (not @t133) (not @t134) (not @t55) (not @t62) (not @t135) (not @t136) (not @t137) (not @t138) (not @t139) (not @t140) (not @t73) (not @t141) (not @t142) (not @t106) (not @t144) (not @t127)))) % 1.24/1.46 (step @p323 false :rule chain_m_resolution :premises (@p322 @p269 @p213 @p212 @p91 @p90 @p89 @p71 @p70 @p69 @p68 @p64 @p60 @p59 @p50 @p40 @p39 @p38 @p33 @p23 @p22 @p21 @p20 @p19) :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 true) (@list @t127 @t144 @t106 @t142 @t141 @t73 @t140 @t139 @t138 @t137 @t136 @t135 @t62 @t55 @t134 @t133 @t44 @t37 @t132 @t131 @t130 @t129 @t145))) % 1.24/1.46 ) % 1.24/1.46 % SZS output end Proof % 1.24/1.46 % cvc5 exiting %------------------------------------------------------------------------------