%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE034+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:28:09 AM UTC 2026 % Result : Theorem 21.11s 21.34s % Output : Proof 21.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KLE034+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 00:10:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 21.11/21.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 21.11/21.34 --- Run --no-e-matching --full-saturate-quant at 6... % 21.11/21.34 % SZS status Theorem % 21.11/21.34 % SZS output start Proof % 21.11/21.34 ( % 21.11/21.34 (declare-sort $$unsorted 0) % 21.11/21.34 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 21.11/21.34 (declare-const tptp.test (-> $$unsorted Bool)) % 21.11/21.34 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 21.11/21.34 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 21.11/21.34 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 21.11/21.34 (declare-const tptp.zero $$unsorted) % 21.11/21.34 (declare-const tptp.one $$unsorted) % 21.11/21.34 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 21.11/21.34 (define @t1 () (@var "A" $$unsorted)) % 21.11/21.34 (define @t2 () (@var "B" $$unsorted)) % 21.11/21.34 (define @t3 () (tptp.addition @t1 @t2)) % 21.11/21.34 (define @t4 () (@list @t1 @t2)) % 21.11/21.34 (define @t5 () (@var "C" $$unsorted)) % 21.11/21.34 (define @t6 () (tptp.addition @t2 @t5)) % 21.11/21.34 (define @t7 () (tptp.addition @t1 tptp.zero)) % 21.11/21.34 (define @t8 () (@list @t1)) % 21.11/21.34 (define @t9 () (forall @t8 (= @t7 @t1))) % 21.11/21.34 (define @t10 () (tptp.multiplication @t1 @t2)) % 21.11/21.34 (define @t11 () (tptp.multiplication @t2 @t5)) % 21.11/21.34 (define @t12 () (@list @t1 @t2 @t5)) % 21.11/21.34 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 21.11/21.34 (define @t14 () (forall @t8 (= @t13 @t1))) % 21.11/21.34 (define @t15 () (tptp.multiplication tptp.one @t1)) % 21.11/21.34 (define @t16 () (forall @t8 (= @t15 @t1))) % 21.11/21.34 (define @t17 () (tptp.multiplication @t1 @t5)) % 21.11/21.34 (define @t18 () (tptp.multiplication @t1 tptp.zero)) % 21.11/21.34 (define @t19 () (forall @t8 (= @t18 tptp.zero))) % 21.11/21.34 (define @t20 () (tptp.multiplication tptp.zero @t1)) % 21.11/21.34 (define @t21 () (forall @t8 (= @t20 tptp.zero))) % 21.11/21.34 (define @t22 () (tptp.leq @t1 @t2)) % 21.11/21.34 (define @t23 () (= @t22 (= @t3 @t2))) % 21.11/21.34 (define @t24 () (forall @t4 @t23)) % 21.11/21.34 (define @t25 () (@var "X0" $$unsorted)) % 21.11/21.34 (define @t26 () (@var "X1" $$unsorted)) % 21.11/21.34 (define @t27 () (tptp.complement @t26 @t25)) % 21.11/21.34 (define @t28 () (tptp.test @t25)) % 21.11/21.34 (define @t29 () (@list @t25)) % 21.11/21.34 (define @t30 () (tptp.addition @t25 @t26)) % 21.11/21.34 (define @t31 () (tptp.multiplication @t26 @t25)) % 21.11/21.34 (define @t32 () (tptp.multiplication @t25 @t26)) % 21.11/21.34 (define @t33 () (and (= @t32 tptp.zero) (= @t31 tptp.zero) (= @t30 tptp.one))) % 21.11/21.34 (define @t34 () (= @t27 @t33)) % 21.11/21.34 (define @t35 () (@list @t25 @t26)) % 21.11/21.34 (define @t36 () (forall @t35 @t34)) % 21.11/21.34 (define @t37 () (tptp.complement @t25 @t26)) % 21.11/21.34 (define @t38 () (tptp.c @t25)) % 21.11/21.34 (define @t39 () (= (= @t38 @t26) @t37)) % 21.11/21.34 (define @t40 () (=> @t28 @t39)) % 21.11/21.34 (define @t41 () (forall @t35 @t40)) % 21.11/21.34 (define @t42 () (not @t28)) % 21.11/21.34 (define @t43 () (@var "X4" $$unsorted)) % 21.11/21.34 (define @t44 () (tptp.c @t43)) % 21.11/21.34 (define @t45 () (@var "X2" $$unsorted)) % 21.11/21.34 (define @t46 () (tptp.multiplication @t45 @t25)) % 21.11/21.34 (define @t47 () (tptp.leq (tptp.multiplication (tptp.multiplication @t46 @t26) @t44) tptp.zero)) % 21.11/21.34 (define @t48 () (@var "X3" $$unsorted)) % 21.11/21.34 (define @t49 () (tptp.leq (tptp.multiplication (tptp.multiplication @t48 @t26) @t44) tptp.zero)) % 21.11/21.34 (define @t50 () (tptp.leq (tptp.multiplication @t46 (tptp.c @t48)) tptp.zero)) % 21.11/21.34 (define @t51 () (tptp.test @t43)) % 21.11/21.34 (define @t52 () (tptp.test @t45)) % 21.11/21.34 (define @t53 () (tptp.test @t48)) % 21.11/21.34 (define @t54 () (and @t53 @t52 @t51 @t50 @t49)) % 21.11/21.34 (define @t55 () (@list @t25 @t26 @t45 @t48 @t43)) % 21.11/21.34 (define @t56 () (forall @t55 (=> @t54 @t47))) % 21.11/21.34 (define @t57 () (not @t56)) % 21.11/21.34 (define @t58 () (not @t49)) % 21.11/21.34 (define @t59 () (not @t50)) % 21.11/21.34 (define @t60 () (not @t51)) % 21.11/21.34 (define @t61 () (not @t52)) % 21.11/21.34 (define @t62 () (not @t53)) % 21.11/21.34 (define @t63 () (or @t62 @t61 @t60 @t59 @t58 @t47)) % 21.11/21.34 (define @t64 () (forall @t55 @t63)) % 21.11/21.34 (define @t65 () (@quantifiers_skolemize @t64 3)) % 21.11/21.34 (define @t66 () (tptp.c @t65)) % 21.11/21.34 (define @t67 () (@quantifiers_skolemize @t64 2)) % 21.11/21.34 (define @t68 () (tptp.multiplication @t67 (@quantifiers_skolemize @t64 0))) % 21.11/21.34 (define @t69 () (@list @t68)) % 21.11/21.34 (define @t70 () (tptp.multiplication @t68 @t66)) % 21.11/21.34 (define @t71 () (or @t62 @t61 @t60 @t59 @t58)) % 21.11/21.34 (define @t72 () (tptp.leq @t70 tptp.zero)) % 21.11/21.34 (define @t73 () (@quantifiers_skolemize @t64 4)) % 21.11/21.34 (define @t74 () (tptp.c @t73)) % 21.11/21.34 (define @t75 () (@quantifiers_skolemize @t64 1)) % 21.11/21.34 (define @t76 () (tptp.multiplication (tptp.multiplication @t68 @t75) @t74)) % 21.11/21.34 (define @t77 () (tptp.leq @t76 tptp.zero)) % 21.11/21.34 (define @t78 () (tptp.multiplication @t65 @t75)) % 21.11/21.34 (define @t79 () (tptp.multiplication @t78 @t74)) % 21.11/21.34 (define @t80 () (tptp.leq @t79 tptp.zero)) % 21.11/21.34 (define @t81 () (not @t80)) % 21.11/21.34 (define @t82 () (not @t72)) % 21.11/21.34 (define @t83 () (tptp.test @t65)) % 21.11/21.34 (define @t84 () (not @t83)) % 21.11/21.34 (define @t85 () (or @t84 (not (tptp.test @t67)) (not (tptp.test @t73)) @t82 @t81 @t77)) % 21.11/21.34 (define @t86 () (@list true)) % 21.11/21.34 (define @t87 () (@list @t85)) % 21.11/21.34 (define @t88 () (tptp.addition @t70 tptp.zero)) % 21.11/21.34 (define @t89 () (= tptp.zero @t88)) % 21.11/21.34 (define @t90 () (= @t72 @t89)) % 21.11/21.34 (define @t91 () (@list false false)) % 21.11/21.34 (define @t92 () (@list @t79)) % 21.11/21.34 (define @t93 () (tptp.addition @t79 tptp.zero)) % 21.11/21.34 (define @t94 () (= tptp.zero @t93)) % 21.11/21.34 (define @t95 () (= @t80 @t94)) % 21.11/21.34 (define @t96 () (tptp.addition @t76 tptp.zero)) % 21.11/21.34 (define @t97 () (= tptp.zero @t96)) % 21.11/21.34 (define @t98 () (= @t77 @t97)) % 21.11/21.34 (define @t99 () (not @t97)) % 21.11/21.34 (define @t100 () (= @t26 @t38)) % 21.11/21.34 (define @t101 () (= @t37 @t100)) % 21.11/21.34 (define @t102 () (tptp.complement @t65 @t66)) % 21.11/21.34 (define @t103 () (= @t66 @t66)) % 21.11/21.34 (define @t104 () (or @t84 (= @t102 @t103))) % 21.11/21.34 (define @t105 () (forall @t35 (or @t42 @t101))) % 21.11/21.34 (define @t106 () (or @t84 @t102)) % 21.11/21.34 (define @t107 () (@list false)) % 21.11/21.34 (define @t108 () (tptp.addition @t66 @t65)) % 21.11/21.34 (define @t109 () (= tptp.one @t108)) % 21.11/21.34 (define @t110 () (and (= tptp.zero (tptp.multiplication @t66 @t65)) (= tptp.zero (tptp.multiplication @t65 @t66)) @t109)) % 21.11/21.34 (define @t111 () (= @t102 @t110)) % 21.11/21.34 (define @t112 () (tptp.multiplication tptp.zero @t66)) % 21.11/21.34 (define @t113 () (= tptp.zero @t112)) % 21.11/21.34 (define @t114 () (tptp.addition tptp.one tptp.zero)) % 21.11/21.34 (define @t115 () (= tptp.one @t114)) % 21.11/21.34 (define @t116 () (tptp.multiplication tptp.zero @t65)) % 21.11/21.34 (define @t117 () (= tptp.zero @t116)) % 21.11/21.34 (define @t118 () (= @t68 (tptp.multiplication @t68 tptp.one))) % 21.11/21.34 (define @t119 () (tptp.multiplication @t68 tptp.zero)) % 21.11/21.34 (define @t120 () (= tptp.zero @t119)) % 21.11/21.34 (define @t121 () (tptp.addition @t68 tptp.zero)) % 21.11/21.34 (define @t122 () (= @t68 @t121)) % 21.11/21.34 (define @t123 () (tptp.multiplication @t121 @t66)) % 21.11/21.34 (define @t124 () (= @t123 (tptp.addition @t70 @t112))) % 21.11/21.34 (define @t125 () (tptp.multiplication tptp.one @t79)) % 21.11/21.34 (define @t126 () (= @t79 @t125)) % 21.11/21.34 (define @t127 () (tptp.multiplication tptp.zero @t79)) % 21.11/21.34 (define @t128 () (= tptp.zero @t127)) % 21.11/21.34 (define @t129 () (tptp.multiplication @t79 tptp.one)) % 21.11/21.34 (define @t130 () (= @t79 @t129)) % 21.11/21.34 (define @t131 () (tptp.multiplication @t79 tptp.zero)) % 21.11/21.34 (define @t132 () (= tptp.zero @t131)) % 21.11/21.34 (define @t133 () (tptp.multiplication @t114 @t79)) % 21.11/21.34 (define @t134 () (= @t133 (tptp.addition @t125 @t127))) % 21.11/21.34 (define @t135 () (= @t76 @t96)) % 21.11/21.34 (define @t136 () (tptp.addition tptp.zero @t68)) % 21.11/21.34 (define @t137 () (= @t121 @t136)) % 21.11/21.34 (define @t138 () (tptp.multiplication @t68 @t78)) % 21.11/21.34 (define @t139 () (tptp.multiplication @t138 @t74)) % 21.11/21.34 (define @t140 () (= (tptp.multiplication @t68 @t79) @t139)) % 21.11/21.34 (define @t141 () (tptp.multiplication @t68 @t65)) % 21.11/21.34 (define @t142 () (tptp.multiplication @t141 @t75)) % 21.11/21.34 (define @t143 () (= @t138 @t142)) % 21.11/21.34 (define @t144 () (tptp.addition @t116 @t141)) % 21.11/21.34 (define @t145 () (= (tptp.multiplication @t136 @t65) @t144)) % 21.11/21.34 (define @t146 () (tptp.multiplication @t68 @t108)) % 21.11/21.34 (define @t147 () (= @t146 (tptp.addition @t70 @t141))) % 21.11/21.34 (define @t148 () (and @t113 @t115 @t117 @t118 @t120 @t122 @t89 @t124 @t126 @t128 @t130 @t132 @t94 @t134 @t135 @t109 @t137 @t140 @t143 @t145 @t147)) % 21.11/21.34 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 21.11/21.34 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 21.11/21.34 (assume @p3 @t9) % 21.11/21.34 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 21.11/21.34 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 21.11/21.34 (assume @p6 @t14) % 21.11/21.34 (assume @p7 @t16) % 21.11/21.34 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 21.11/21.34 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 21.11/21.34 (assume @p10 @t19) % 21.11/21.34 (assume @p11 @t21) % 21.11/21.34 (assume @p12 @t24) % 21.11/21.34 (assume @p13 (forall @t29 (= @t28 (exists (@list @t26) @t27)))) % 21.11/21.34 (assume @p14 @t36) % 21.11/21.34 (assume @p15 @t41) % 21.11/21.34 (assume @p16 (forall @t29 (=> @t42 (= @t38 tptp.zero)))) % 21.11/21.34 (assume @p17 @t57) % 21.11/21.34 (assume @p18 true) % 21.11/21.34 (step @p19 :rule eq-symm :args (@t20 tptp.zero)) % 21.11/21.34 (step @p20 :rule cong :premises (@p19) :args (@t21)) % 21.11/21.34 (step @p21 :rule eq_resolve :premises (@p11 @p20)) % 21.11/21.34 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t66))) % 21.11/21.34 (step @p23 :rule eq-symm :args (@t7 @t1)) % 21.11/21.34 (step @p24 :rule cong :premises (@p23) :args (@t9)) % 21.11/21.34 (step @p25 :rule eq_resolve :premises (@p3 @p24)) % 21.11/21.34 (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.one))) % 21.11/21.34 (step @p27 :rule instantiate :premises (@p21) :args ((@list @t65))) % 21.11/21.34 (step @p28 :rule eq-symm :args (@t13 @t1)) % 21.11/21.34 (step @p29 :rule cong :premises (@p28) :args (@t14)) % 21.11/21.34 (step @p30 :rule eq_resolve :premises (@p6 @p29)) % 21.11/21.34 (step @p31 :rule instantiate :premises (@p30) :args (@t69)) % 21.11/21.34 (step @p32 :rule eq-symm :args (@t18 tptp.zero)) % 21.11/21.34 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 21.11/21.34 (step @p34 :rule eq_resolve :premises (@p10 @p33)) % 21.11/21.34 (step @p35 :rule instantiate :premises (@p34) :args (@t69)) % 21.11/21.34 (step @p36 :rule instantiate :premises (@p25) :args (@t69)) % 21.11/21.34 (step @p37 :rule eq-symm :args (@t3 @t2)) % 21.11/21.34 (step @p38 :rule refl :args (@t22)) % 21.11/21.34 (step @p39 :rule cong :premises (@p38 @p37) :args (@t23)) % 21.11/21.34 (step @p40 :rule cong :premises (@p39) :args (@t24)) % 21.11/21.34 (step @p41 :rule eq_resolve :premises (@p12 @p40)) % 21.11/21.34 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t70 tptp.zero))) % 21.11/21.34 (step @p43 :rule aci_norm :args ((= (or @t71 @t47) @t63))) % 21.11/21.34 (step @p44 :rule refl :args (@t47)) % 21.11/21.34 (step @p45 :rule aci_norm :args ((= (or @t62 (or @t61 (or @t60 (or @t59 @t58)))) @t71))) % 21.11/21.34 (step @p46 :rule bool-and-de-morgan :args (@t50 @t49 true)) % 21.11/21.34 (step @p47 :rule refl :args (@t60)) % 21.11/21.34 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t60 (not (and @t50 @t49))))) % 21.11/21.34 (step @p49 :rule bool-and-de-morgan :args (@t51 @t50 (and @t49))) % 21.11/21.34 (step @p50 :rule trans :premises (@p49 @p48)) % 21.11/21.34 (step @p51 :rule refl :args (@t61)) % 21.11/21.34 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t61 (not (and @t51 @t50 @t49))))) % 21.11/21.34 (step @p53 :rule bool-and-de-morgan :args (@t52 @t51 (and @t50 @t49))) % 21.11/21.34 (step @p54 :rule trans :premises (@p53 @p52)) % 21.11/21.34 (step @p55 :rule refl :args (@t62)) % 21.11/21.34 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t62 (not (and @t52 @t51 @t50 @t49))))) % 21.11/21.34 (step @p57 :rule bool-and-de-morgan :args (@t53 @t52 (and @t51 @t50 @t49))) % 21.11/21.34 (step @p58 :rule trans :premises (@p57 @p56)) % 21.11/21.34 (step @p59 :rule trans :premises (@p58 @p45)) % 21.11/21.34 (step @p60 :rule nary_cong :premises (@p59 @p44) :args ((or (not @t54) @t47))) % 21.11/21.34 (step @p61 :rule trans :premises (@p60 @p43)) % 21.11/21.34 (step @p62 :rule bool-impl-elim :args (@t54 @t47)) % 21.11/21.34 (step @p63 :rule trans :premises (@p62 @p61)) % 21.11/21.34 (step @p64 :rule cong :premises (@p63) :args (@t56)) % 21.11/21.34 (step @p65 :rule cong :premises (@p64) :args (@t57)) % 21.11/21.34 (step @p66 :rule eq_resolve :premises (@p17 @p65)) % 21.11/21.34 (step @p67 :rule skolemize :premises (@p66)) % 21.11/21.34 (step @p68 :rule bool-double-not-elim :args (@t72)) % 21.11/21.34 (step @p69 :rule refl :args (@t85)) % 21.11/21.34 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t85 (not @t82)))) % 21.11/21.34 (step @p71 :rule cnf_or_neg :args (@t85 3)) % 21.11/21.34 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 21.11/21.34 (step @p73 :rule reordering :premises (@p72) :args ((or @t72 @t85))) % 21.11/21.34 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t72 @t86 @t87)) % 21.11/21.34 (step @p75 :rule cnf_equiv_pos1 :args (@t90)) % 21.11/21.34 (step @p76 :rule reordering :premises (@p75) :args ((or @t82 @t89 (not @t90)))) % 21.11/21.34 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p42) :args (@t89 @t91 (@list @t72 @t90))) % 21.11/21.34 (step @p78 :rule instantiate :premises (@p9) :args ((@list @t68 tptp.zero @t66))) % 21.11/21.34 (step @p79 :rule eq-symm :args (@t15 @t1)) % 21.11/21.34 (step @p80 :rule cong :premises (@p79) :args (@t16)) % 21.11/21.34 (step @p81 :rule eq_resolve :premises (@p7 @p80)) % 21.11/21.34 (step @p82 :rule instantiate :premises (@p81) :args (@t92)) % 21.11/21.34 (step @p83 :rule instantiate :premises (@p21) :args (@t92)) % 21.11/21.34 (step @p84 :rule instantiate :premises (@p30) :args (@t92)) % 21.11/21.34 (step @p85 :rule instantiate :premises (@p34) :args (@t92)) % 21.11/21.34 (step @p86 :rule instantiate :premises (@p41) :args ((@list @t79 tptp.zero))) % 21.11/21.34 (step @p87 :rule bool-double-not-elim :args (@t80)) % 21.11/21.34 (step @p88 :rule nary_cong :premises (@p69 @p87) :args ((or @t85 (not @t81)))) % 21.11/21.34 (step @p89 :rule cnf_or_neg :args (@t85 4)) % 21.11/21.34 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 21.11/21.34 (step @p91 :rule reordering :premises (@p90) :args ((or @t80 @t85))) % 21.11/21.34 (step @p92 :rule chain_m_resolution :premises (@p91 @p67) :args (@t80 @t86 @t87)) % 21.11/21.34 (step @p93 :rule cnf_equiv_pos1 :args (@t95)) % 21.11/21.34 (step @p94 :rule reordering :premises (@p93) :args ((or @t81 @t94 (not @t95)))) % 21.11/21.34 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p86) :args (@t94 @t91 (@list @t80 @t95))) % 21.11/21.34 (step @p96 :rule instantiate :premises (@p9) :args ((@list tptp.one tptp.zero @t79))) % 21.11/21.34 (step @p97 :rule instantiate :premises (@p25) :args ((@list @t76))) % 21.11/21.34 (step @p98 :rule instantiate :premises (@p41) :args ((@list @t76 tptp.zero))) % 21.11/21.34 (step @p99 :rule cnf_or_neg :args (@t85 5)) % 21.11/21.34 (step @p100 :rule chain_m_resolution :premises (@p99 @p67) :args ((not @t77) @t86 @t87)) % 21.11/21.34 (step @p101 :rule cnf_equiv_pos2 :args (@t98)) % 21.11/21.34 (step @p102 :rule reordering :premises (@p101) :args ((or @t77 @t99 (not @t98)))) % 21.11/21.34 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p98) :args (@t99 (@list true false) (@list @t77 @t98))) % 21.11/21.34 (step @p104 :rule eq-symm :args (@t30 tptp.one)) % 21.11/21.34 (step @p105 :rule eq-symm :args (@t31 tptp.zero)) % 21.11/21.34 (step @p106 :rule eq-symm :args (@t32 tptp.zero)) % 21.11/21.34 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args (@t33)) % 21.11/21.34 (step @p108 :rule refl :args (@t27)) % 21.11/21.34 (step @p109 :rule cong :premises (@p108 @p107) :args (@t34)) % 21.11/21.34 (step @p110 :rule cong :premises (@p109) :args (@t36)) % 21.11/21.34 (step @p111 :rule eq_resolve :premises (@p14 @p110)) % 21.11/21.34 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t66 @t65))) % 21.11/21.34 (step @p113 :rule bool-impl-elim :args (@t28 @t101)) % 21.11/21.34 (step @p114 :rule cong :premises (@p113) :args ((forall @t35 (=> @t28 @t101)))) % 21.11/21.34 (step @p115 :rule eq-symm :args (@t100 @t37)) % 21.11/21.34 (step @p116 :rule refl :args (@t37)) % 21.11/21.34 (step @p117 :rule eq-symm :args (@t38 @t26)) % 21.11/21.34 (step @p118 :rule cong :premises (@p117 @p116) :args (@t39)) % 21.11/21.34 (step @p119 :rule trans :premises (@p118 @p115)) % 21.11/21.34 (step @p120 :rule refl :args (@t28)) % 21.11/21.34 (step @p121 :rule cong :premises (@p120 @p119) :args (@t40)) % 21.11/21.34 (step @p122 :rule cong :premises (@p121) :args (@t41)) % 21.11/21.34 (step @p123 :rule trans :premises (@p122 @p114)) % 21.11/21.34 (step @p124 :rule eq_resolve :premises (@p15 @p123)) % 21.11/21.34 (step @p125 :rule bool-eq-true :args (@t102)) % 21.11/21.34 (step @p126 :rule eq-symm :args (true @t102)) % 21.11/21.34 (step @p127 :rule trans :premises (@p126 @p125)) % 21.11/21.34 (step @p128 :rule refl :args (@t102)) % 21.11/21.34 (step @p129 :rule eq-refl :args (@t66)) % 21.11/21.34 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t103 @t102))) % 21.11/21.34 (step @p131 :rule trans :premises (@p130 @p127)) % 21.11/21.34 (step @p132 :rule eq-symm :args (@t102 @t103)) % 21.11/21.34 (step @p133 :rule trans :premises (@p132 @p131)) % 21.11/21.34 (step @p134 :rule refl :args (@t84)) % 21.11/21.34 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t104)) % 21.11/21.34 (step @p136 :rule refl :args (@t105)) % 21.11/21.34 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t105 @t104))) % 21.11/21.34 (assume-push @p252 @t105) % 21.11/21.34 (step @p139 :rule instantiate :premises (@p124) :args ((@list @t65 @t66))) % 21.11/21.34 (step-pop @p253 :rule scope :premises (@p139)) % 21.11/21.34 (step @p140 :rule process_scope :premises (@p253) :args (@t104)) % 21.11/21.34 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 21.11/21.34 (step @p143 :rule implies_elim :premises (@p142)) % 21.11/21.34 (step @p144 :rule chain_m_resolution :premises (@p143 @p124) :args (@t106 @t107 (@list @t105))) % 21.11/21.34 (step @p145 :rule bool-double-not-elim :args (@t83)) % 21.11/21.34 (step @p146 :rule nary_cong :premises (@p69 @p145) :args ((or @t85 (not @t84)))) % 21.11/21.34 (step @p147 :rule cnf_or_neg :args (@t85 0)) % 21.11/21.34 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 21.11/21.34 (step @p149 :rule reordering :premises (@p148) :args ((or @t83 @t85))) % 21.11/21.34 (step @p150 :rule chain_m_resolution :premises (@p149 @p67) :args (@t83 @t86 @t87)) % 21.11/21.34 (step @p151 :rule cnf_or_pos :args (@t106)) % 21.11/21.34 (step @p152 :rule reordering :premises (@p151) :args ((or @t84 @t102 (not @t106)))) % 21.11/21.34 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p144) :args (@t102 @t91 (@list @t83 @t106))) % 21.11/21.34 (step @p154 :rule cnf_equiv_pos1 :args (@t111)) % 21.11/21.34 (step @p155 :rule reordering :premises (@p154) :args ((or (not @t102) @t110 (not @t111)))) % 21.11/21.34 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p112) :args (@t110 @t91 (@list @t102 @t111))) % 21.11/21.34 (step @p157 :rule cnf_and_pos :args (@t110 2)) % 21.11/21.34 (step @p158 :rule reordering :premises (@p157) :args ((or @t109 (not @t110)))) % 21.11/21.34 (step @p159 :rule chain_m_resolution :premises (@p158 @p156) :args (@t109 @t107 (@list @t110))) % 21.11/21.34 (step @p160 :rule instantiate :premises (@p1) :args ((@list @t68 tptp.zero))) % 21.11/21.34 (step @p161 :rule instantiate :premises (@p5) :args ((@list @t68 @t78 @t74))) % 21.11/21.34 (step @p162 :rule instantiate :premises (@p5) :args ((@list @t68 @t65 @t75))) % 21.11/21.34 (step @p163 :rule instantiate :premises (@p9) :args ((@list tptp.zero @t68 @t65))) % 21.11/21.34 (step @p164 :rule instantiate :premises (@p8) :args ((@list @t68 @t66 @t65))) % 21.11/21.34 (assume-push @p254 @t113) % 21.11/21.34 (assume-push @p255 @t115) % 21.11/21.34 (assume-push @p256 @t117) % 21.11/21.34 (assume-push @p257 @t118) % 21.11/21.34 (assume-push @p258 @t120) % 21.11/21.34 (assume-push @p259 @t122) % 21.11/21.34 (assume-push @p260 @t89) % 21.11/21.34 (assume-push @p261 @t124) % 21.11/21.34 (assume-push @p262 @t126) % 21.11/21.34 (assume-push @p263 @t128) % 21.11/21.34 (assume-push @p264 @t130) % 21.11/21.34 (assume-push @p265 @t132) % 21.11/21.34 (assume-push @p266 @t94) % 21.11/21.34 (assume-push @p267 @t134) % 21.11/21.34 (assume-push @p268 @t135) % 21.11/21.34 (assume-push @p269 @t109) % 21.11/21.34 (assume-push @p270 @t137) % 21.11/21.34 (assume-push @p271 @t140) % 21.11/21.34 (assume-push @p272 @t143) % 21.11/21.34 (assume-push @p273 @t145) % 21.11/21.34 (assume-push @p274 @t147) % 21.11/21.34 (step @p186 :rule refl :args (@t74)) % 21.11/21.34 (step @p187 :rule refl :args (@t75)) % 21.11/21.34 (step @p188 :rule symm :premises (@p31)) % 21.11/21.34 (step @p189 :rule symm :premises (@p159)) % 21.11/21.34 (step @p190 :rule refl :args (@t68)) % 21.11/21.34 (step @p191 :rule cong :premises (@p190 @p189) :args (@t146)) % 21.11/21.34 (step @p192 :rule symm :premises (@p164)) % 21.11/21.34 (step @p193 :rule refl :args (@t141)) % 21.11/21.34 (step @p194 :rule refl :args (@t66)) % 21.11/21.34 (step @p195 :rule symm :premises (@p36)) % 21.11/21.34 (step @p196 :rule cong :premises (@p195 @p194) :args (@t123)) % 21.11/21.34 (step @p197 :rule symm :premises (@p78)) % 21.11/21.34 (step @p198 :rule refl :args (@t70)) % 21.11/21.34 (step @p199 :rule cong :premises (@p198 @p22) :args (@t88)) % 21.11/21.34 (step @p200 :rule trans :premises (@p77 @p199 @p197 @p196)) % 21.11/21.34 (step @p201 :rule symm :premises (@p27)) % 21.11/21.34 (step @p202 :rule trans :premises (@p201 @p200)) % 21.11/21.34 (step @p203 :rule cong :premises (@p202 @p193) :args (@t144)) % 21.11/21.34 (step @p204 :rule refl :args (@t65)) % 21.11/21.34 (step @p205 :rule trans :premises (@p36 @p160)) % 21.11/21.34 (step @p206 :rule cong :premises (@p205 @p204) :args (@t141)) % 21.11/21.34 (step @p207 :rule trans :premises (@p206 @p163 @p203 @p192 @p191 @p188)) % 21.11/21.34 (step @p208 :rule cong :premises (@p207 @p187) :args (@t142)) % 21.11/21.34 (step @p209 :rule trans :premises (@p162 @p208)) % 21.11/21.34 (step @p210 :rule cong :premises (@p209 @p186) :args (@t139)) % 21.11/21.34 (step @p211 :rule symm :premises (@p82)) % 21.11/21.34 (step @p212 :rule refl :args (@t79)) % 21.11/21.34 (step @p213 :rule symm :premises (@p26)) % 21.11/21.34 (step @p214 :rule cong :premises (@p213 @p212) :args (@t133)) % 21.11/21.34 (step @p215 :rule symm :premises (@p96)) % 21.11/21.34 (step @p216 :rule symm :premises (@p85)) % 21.11/21.34 (step @p217 :rule trans :premises (@p216 @p83)) % 21.11/21.34 (step @p218 :rule symm :premises (@p84)) % 21.11/21.34 (step @p219 :rule trans :premises (@p218 @p82)) % 21.11/21.34 (step @p220 :rule cong :premises (@p219 @p217) :args ((tptp.addition @t129 @t131))) % 21.11/21.34 (step @p221 :rule cong :premises (@p84 @p85) :args (@t93)) % 21.11/21.34 (step @p222 :rule trans :premises (@p95 @p221 @p220 @p215 @p214 @p211)) % 21.11/21.34 (step @p223 :rule cong :premises (@p190 @p222) :args (@t119)) % 21.11/21.34 (step @p224 :rule trans :premises (@p35 @p223 @p161 @p210 @p97)) % 21.11/21.34 (step-pop @p275 :rule scope :premises (@p224)) % 21.11/21.34 (step-pop @p276 :rule scope :premises (@p275)) % 21.11/21.34 (step-pop @p277 :rule scope :premises (@p276)) % 21.11/21.34 (step-pop @p278 :rule scope :premises (@p277)) % 21.11/21.34 (step-pop @p279 :rule scope :premises (@p278)) % 21.11/21.34 (step-pop @p280 :rule scope :premises (@p279)) % 21.11/21.34 (step-pop @p281 :rule scope :premises (@p280)) % 21.11/21.34 (step-pop @p282 :rule scope :premises (@p281)) % 21.11/21.34 (step-pop @p283 :rule scope :premises (@p282)) % 21.11/21.34 (step-pop @p284 :rule scope :premises (@p283)) % 21.11/21.34 (step-pop @p285 :rule scope :premises (@p284)) % 21.11/21.34 (step-pop @p286 :rule scope :premises (@p285)) % 21.11/21.34 (step-pop @p287 :rule scope :premises (@p286)) % 21.11/21.34 (step-pop @p288 :rule scope :premises (@p287)) % 21.11/21.34 (step-pop @p289 :rule scope :premises (@p288)) % 21.11/21.34 (step-pop @p290 :rule scope :premises (@p289)) % 21.11/21.34 (step-pop @p291 :rule scope :premises (@p290)) % 21.11/21.34 (step-pop @p292 :rule scope :premises (@p291)) % 21.11/21.34 (step-pop @p293 :rule scope :premises (@p292)) % 21.11/21.34 (step-pop @p294 :rule scope :premises (@p293)) % 21.11/21.34 (step-pop @p295 :rule scope :premises (@p294)) % 21.11/21.34 (step @p225 :rule process_scope :premises (@p295) :args (@t97)) % 21.11/21.34 (step @p247 :rule implies_elim :premises (@p225)) % 21.11/21.35 (step @p248 :rule cnf_and_neg :args (@t148)) % 21.11/21.35 (step @p249 :rule resolution :premises (@p248 @p247) :args (true @t148)) % 21.11/21.35 (step @p250 :rule reordering :premises (@p249) :args ((or (not @t113) (not @t115) (not @t117) (not @t118) (not @t120) (not @t122) (not @t89) (not @t124) (not @t126) (not @t128) (not @t130) (not @t132) (not @t94) (not @t134) (not @t135) @t97 (not @t109) (not @t137) (not @t140) (not @t143) (not @t145) (not @t147)))) % 21.11/21.35 (step @p251 false :rule chain_m_resolution :premises (@p250 @p164 @p163 @p162 @p161 @p160 @p159 @p103 @p97 @p96 @p95 @p85 @p84 @p83 @p82 @p78 @p77 @p36 @p35 @p31 @p27 @p26 @p22) :args (false (@list false false false false false false true false false false false false false false false false false false false false false false) (@list @t147 @t145 @t143 @t140 @t137 @t109 @t97 @t135 @t134 @t94 @t132 @t130 @t128 @t126 @t124 @t89 @t122 @t120 @t118 @t117 @t115 @t113))) % 21.11/21.35 ) % 21.11/21.35 % SZS output end Proof % 21.11/21.35 % cvc5 exiting %------------------------------------------------------------------------------