%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL899+1 : TPTP v9.3.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:08 AM UTC 2026 % Result : Theorem 0.28s 0.62s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL899+1 : TPTP v9.3.1. Released v5.5.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n007.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sun Sep 6 01:00:10 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.62 % SZS status Theorem % 0.28/0.62 % SZS output start Proof % 0.28/0.62 ( % 0.28/0.62 (declare-sort $$unsorted 0) % 0.28/0.62 (declare-const |tptp.'==>'| (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.62 (declare-const |tptp.'1'| $$unsorted) % 0.28/0.62 (declare-const |tptp.'>='| (-> $$unsorted $$unsorted Bool)) % 0.28/0.62 (declare-const |tptp.'0'| $$unsorted) % 0.28/0.62 (declare-const |tptp.'+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.62 (define @t1 () (@var "C" $$unsorted)) % 0.28/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.28/0.62 (define @t3 () (@var "A" $$unsorted)) % 0.28/0.62 (define @t4 () (|tptp.'+'| @t3 @t2)) % 0.28/0.62 (define @t5 () (@list @t3 @t2)) % 0.28/0.62 (define @t6 () (|tptp.'+'| @t3 |tptp.'0'|)) % 0.28/0.62 (define @t7 () (@list @t3)) % 0.28/0.62 (define @t8 () (forall @t7 (= @t6 @t3))) % 0.28/0.62 (define @t9 () (@var "X2" $$unsorted)) % 0.28/0.62 (define @t10 () (@var "X0" $$unsorted)) % 0.28/0.62 (define @t11 () (@var "X1" $$unsorted)) % 0.28/0.62 (define @t12 () (@var "X4" $$unsorted)) % 0.28/0.62 (define @t13 () (@var "X3" $$unsorted)) % 0.28/0.62 (define @t14 () (= @t13 @t12)) % 0.28/0.62 (define @t15 () (|tptp.'>='| @t12 @t13)) % 0.28/0.62 (define @t16 () (|tptp.'>='| @t13 @t12)) % 0.28/0.62 (define @t17 () (and @t16 @t15)) % 0.28/0.62 (define @t18 () (@list @t13 @t12)) % 0.28/0.62 (define @t19 () (forall @t18 (=> @t17 @t14))) % 0.28/0.62 (define @t20 () (@var "X7" $$unsorted)) % 0.28/0.62 (define @t21 () (@var "X5" $$unsorted)) % 0.28/0.62 (define @t22 () (@var "X6" $$unsorted)) % 0.28/0.62 (define @t23 () (forall (@list @t21 @t22 @t20) (= (|tptp.'>='| (|tptp.'+'| @t21 @t22) @t20) (|tptp.'>='| @t22 (|tptp.'==>'| @t21 @t20))))) % 0.28/0.62 (define @t24 () (@var "X10" $$unsorted)) % 0.28/0.62 (define @t25 () (@var "X9" $$unsorted)) % 0.28/0.62 (define @t26 () (@var "X8" $$unsorted)) % 0.28/0.62 (define @t27 () (|tptp.'>='| (|tptp.'+'| @t26 @t24) (|tptp.'+'| @t25 @t24))) % 0.28/0.62 (define @t28 () (|tptp.'>='| @t26 @t25)) % 0.28/0.62 (define @t29 () (forall (@list @t26 @t25 @t24) (=> @t28 @t27))) % 0.28/0.62 (define @t30 () (@var "X13" $$unsorted)) % 0.28/0.62 (define @t31 () (@var "X11" $$unsorted)) % 0.28/0.62 (define @t32 () (@var "X12" $$unsorted)) % 0.28/0.62 (define @t33 () (|tptp.'>='| (|tptp.'==>'| @t32 @t30) (|tptp.'==>'| @t31 @t30))) % 0.28/0.62 (define @t34 () (|tptp.'>='| @t31 @t32)) % 0.28/0.62 (define @t35 () (forall (@list @t31 @t32 @t30) (=> @t34 @t33))) % 0.28/0.62 (define @t36 () (@var "X15" $$unsorted)) % 0.28/0.62 (define @t37 () (@var "X16" $$unsorted)) % 0.28/0.62 (define @t38 () (@var "X14" $$unsorted)) % 0.28/0.62 (define @t39 () (|tptp.'>='| (|tptp.'==>'| @t37 @t38) (|tptp.'==>'| @t37 @t36))) % 0.28/0.62 (define @t40 () (|tptp.'>='| @t38 @t36)) % 0.28/0.62 (define @t41 () (forall (@list @t38 @t36 @t37) (=> @t40 @t39))) % 0.28/0.62 (define @t42 () (|tptp.'+'| @t3 |tptp.'1'|)) % 0.28/0.62 (define @t43 () (forall @t7 (= @t42 |tptp.'1'|))) % 0.28/0.62 (define @t44 () (@var "X17" $$unsorted)) % 0.28/0.62 (define @t45 () (|tptp.'==>'| (|tptp.'==>'| @t44 |tptp.'1'|) |tptp.'1'|)) % 0.28/0.62 (define @t46 () (@list @t44)) % 0.28/0.62 (define @t47 () (forall @t46 (= @t45 @t44))) % 0.28/0.62 (define @t48 () (not @t47)) % 0.28/0.62 (define @t49 () (@quantifiers_skolemize (forall @t46 (= @t44 @t45)) 0)) % 0.28/0.62 (define @t50 () (|tptp.'==>'| |tptp.'1'| @t49)) % 0.28/0.62 (define @t51 () (|tptp.'==>'| @t50 @t49)) % 0.28/0.62 (define @t52 () (|tptp.'+'| @t50 @t51)) % 0.28/0.62 (define @t53 () (|tptp.'>='| @t52 @t49)) % 0.28/0.62 (define @t54 () (|tptp.'>='| @t51 @t51)) % 0.28/0.62 (define @t55 () (= @t53 @t54)) % 0.28/0.62 (define @t56 () (= @t54 @t53)) % 0.28/0.62 (define @t57 () (@list false)) % 0.28/0.62 (define @t58 () (@list @t23)) % 0.28/0.62 (define @t59 () (@list |tptp.'1'| |tptp.'1'| @t49)) % 0.28/0.62 (define @t60 () (@list |tptp.'0'|)) % 0.28/0.62 (define @t61 () (|tptp.'+'| |tptp.'0'| |tptp.'1'|)) % 0.28/0.62 (define @t62 () (|tptp.'>='| @t61 @t61)) % 0.28/0.62 (define @t63 () (|tptp.'>='| |tptp.'0'| |tptp.'0'|)) % 0.28/0.62 (define @t64 () (not @t63)) % 0.28/0.62 (define @t65 () (or @t64 @t62)) % 0.28/0.62 (define @t66 () (@list false false)) % 0.28/0.62 (define @t67 () (|tptp.'>='| |tptp.'1'| |tptp.'1'|)) % 0.28/0.62 (define @t68 () (|tptp.'>='| @t50 @t50)) % 0.28/0.62 (define @t69 () (not @t67)) % 0.28/0.62 (define @t70 () (or @t69 @t68)) % 0.28/0.62 (define @t71 () (not @t68)) % 0.28/0.62 (define @t72 () (or @t71 @t54)) % 0.28/0.62 (define @t73 () (not @t15)) % 0.28/0.62 (define @t74 () (not @t16)) % 0.28/0.62 (define @t75 () (or @t74 @t73 @t14)) % 0.28/0.62 (define @t76 () (|tptp.'>='| @t49 @t52)) % 0.28/0.62 (define @t77 () (not @t76)) % 0.28/0.62 (define @t78 () (not @t53)) % 0.28/0.62 (define @t79 () (or @t78 @t77 (= @t52 @t49))) % 0.28/0.62 (define @t80 () (forall @t18 @t75)) % 0.28/0.62 (define @t81 () (= @t49 @t52)) % 0.28/0.62 (define @t82 () (or @t78 @t77 @t81)) % 0.28/0.62 (define @t83 () (@list @t80)) % 0.28/0.62 (define @t84 () (|tptp.'==>'| @t49 |tptp.'1'|)) % 0.28/0.62 (define @t85 () (|tptp.'>='| (|tptp.'+'| @t49 @t84) |tptp.'1'|)) % 0.28/0.62 (define @t86 () (|tptp.'>='| @t84 @t84)) % 0.28/0.62 (define @t87 () (= @t85 @t86)) % 0.28/0.62 (define @t88 () (= @t86 @t85)) % 0.28/0.62 (define @t89 () (or @t69 @t86)) % 0.28/0.62 (define @t90 () (|tptp.'>='| (|tptp.'+'| @t84 @t49) |tptp.'1'|)) % 0.28/0.62 (define @t91 () (|tptp.'==>'| @t84 |tptp.'1'|)) % 0.28/0.62 (define @t92 () (|tptp.'>='| @t49 @t91)) % 0.28/0.62 (define @t93 () (= @t90 @t92)) % 0.28/0.62 (define @t94 () (|tptp.'==>'| |tptp.'0'| |tptp.'0'|)) % 0.28/0.62 (define @t95 () (|tptp.'+'| |tptp.'0'| |tptp.'0'|)) % 0.28/0.62 (define @t96 () (|tptp.'>='| @t95 |tptp.'0'|)) % 0.28/0.62 (define @t97 () (|tptp.'>='| |tptp.'0'| @t94)) % 0.28/0.62 (define @t98 () (= @t96 @t97)) % 0.28/0.62 (define @t99 () (= |tptp.'0'| @t94)) % 0.28/0.62 (define @t100 () (|tptp.'>='| @t94 |tptp.'0'|)) % 0.28/0.62 (define @t101 () (not @t100)) % 0.28/0.62 (define @t102 () (not @t97)) % 0.28/0.62 (define @t103 () (or @t102 @t101 @t99)) % 0.28/0.62 (define @t104 () (@list false false false)) % 0.28/0.62 (define @t105 () (|tptp.'==>'| |tptp.'1'| |tptp.'0'|)) % 0.28/0.62 (define @t106 () (|tptp.'>='| @t105 @t94)) % 0.28/0.62 (define @t107 () (|tptp.'>='| @t94 @t105)) % 0.28/0.62 (define @t108 () (|tptp.'>='| |tptp.'1'| |tptp.'0'|)) % 0.28/0.62 (define @t109 () (not @t108)) % 0.28/0.62 (define @t110 () (or @t109 @t107)) % 0.28/0.62 (define @t111 () (= @t94 @t105)) % 0.28/0.62 (define @t112 () (not @t106)) % 0.28/0.62 (define @t113 () (not @t107)) % 0.28/0.62 (define @t114 () (or @t113 @t112 @t111)) % 0.28/0.62 (define @t115 () (|tptp.'+'| |tptp.'1'| @t105)) % 0.28/0.62 (define @t116 () (|tptp.'>='| @t115 @t49)) % 0.28/0.62 (define @t117 () (|tptp.'>='| @t105 @t50)) % 0.28/0.62 (define @t118 () (= @t116 @t117)) % 0.28/0.62 (define @t119 () (= @t117 @t116)) % 0.28/0.62 (define @t120 () (|tptp.'>='| (|tptp.'+'| |tptp.'1'| @t50) @t49)) % 0.28/0.62 (define @t121 () (= @t120 @t68)) % 0.28/0.62 (define @t122 () (= @t68 @t120)) % 0.28/0.62 (define @t123 () (|tptp.'==>'| @t105 |tptp.'0'|)) % 0.28/0.62 (define @t124 () (|tptp.'>='| @t94 @t123)) % 0.28/0.62 (define @t125 () (not @t124)) % 0.28/0.62 (define @t126 () (|tptp.'>='| @t123 @t94)) % 0.28/0.62 (define @t127 () (not @t126)) % 0.28/0.62 (define @t128 () (or @t127 @t125 (= @t123 @t94))) % 0.28/0.62 (define @t129 () (= @t94 @t123)) % 0.28/0.62 (define @t130 () (or @t127 @t125 @t129)) % 0.28/0.62 (define @t131 () (|tptp.'>='| @t105 |tptp.'0'|)) % 0.28/0.62 (define @t132 () (not @t131)) % 0.28/0.62 (define @t133 () (or @t132 @t124)) % 0.28/0.62 (define @t134 () (|tptp.'>='| |tptp.'0'| @t105)) % 0.28/0.62 (define @t135 () (not @t134)) % 0.28/0.62 (define @t136 () (or @t135 @t126)) % 0.28/0.62 (define @t137 () (|tptp.'>='| @t50 @t105)) % 0.28/0.62 (define @t138 () (|tptp.'>='| @t49 |tptp.'0'|)) % 0.28/0.62 (define @t139 () (not @t138)) % 0.28/0.62 (define @t140 () (or @t139 @t137)) % 0.28/0.62 (define @t141 () (= @t50 @t105)) % 0.28/0.62 (define @t142 () (not @t117)) % 0.28/0.62 (define @t143 () (not @t137)) % 0.28/0.62 (define @t144 () (or @t143 @t142 @t141)) % 0.28/0.62 (assume @p1 (forall (@list @t3 @t2 @t1) (= (|tptp.'+'| @t4 @t1) (|tptp.'+'| @t3 (|tptp.'+'| @t2 @t1))))) % 0.28/0.62 (assume @p2 (forall @t5 (= @t4 (|tptp.'+'| @t2 @t3)))) % 0.28/0.62 (assume @p3 @t8) % 0.28/0.62 (assume @p4 (forall @t7 (|tptp.'>='| @t3 @t3))) % 0.28/0.62 (assume @p5 (forall (@list @t10 @t11 @t9) (=> (and (|tptp.'>='| @t10 @t11) (|tptp.'>='| @t11 @t9)) (|tptp.'>='| @t10 @t9)))) % 0.28/0.62 (assume @p6 @t19) % 0.28/0.62 (assume @p7 @t23) % 0.28/0.62 (assume @p8 (forall @t7 (|tptp.'>='| @t3 |tptp.'0'|))) % 0.28/0.62 (assume @p9 @t29) % 0.28/0.62 (assume @p10 @t35) % 0.28/0.62 (assume @p11 @t41) % 0.28/0.62 (assume @p12 @t43) % 0.28/0.62 (assume @p13 (forall @t5 (= (|tptp.'==>'| (|tptp.'==>'| @t3 @t2) @t2) (|tptp.'==>'| (|tptp.'==>'| @t2 @t3) @t3)))) % 0.28/0.62 (assume @p14 @t48) % 0.28/0.62 (assume @p15 true) % 0.28/0.62 (step @p16 :rule eq-symm :args (@t53 @t54)) % 0.28/0.62 (step @p17 :rule refl :args (@t23)) % 0.28/0.62 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t23 @t55))) % 0.28/0.62 (assume-push @p258 @t23) % 0.28/0.62 (step @p20 :rule instantiate :premises (@p7) :args ((@list @t50 @t51 @t49))) % 0.28/0.62 (step-pop @p259 :rule scope :premises (@p20)) % 0.28/0.62 (step @p21 :rule process_scope :premises (@p259) :args (@t55)) % 0.28/0.62 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.28/0.62 (step @p24 :rule implies_elim :premises (@p23)) % 0.28/0.62 (step @p25 :rule chain_m_resolution :premises (@p24 @p7) :args (@t56 @t57 @t58)) % 0.28/0.62 (step @p26 :rule bool-impl-elim :args (@t34 @t33)) % 0.28/0.62 (step @p27 :rule cong :premises (@p26) :args (@t35)) % 0.28/0.62 (step @p28 :rule eq_resolve :premises (@p10 @p27)) % 0.28/0.62 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t50 @t50 @t49))) % 0.28/0.62 (step @p30 :rule instantiate :premises (@p28) :args (@t59)) % 0.28/0.62 (step @p31 :rule bool-impl-elim :args (@t28 @t27)) % 0.28/0.62 (step @p32 :rule cong :premises (@p31) :args (@t29)) % 0.28/0.62 (step @p33 :rule eq_resolve :premises (@p9 @p32)) % 0.28/0.62 (step @p34 :rule instantiate :premises (@p33) :args ((@list |tptp.'0'| |tptp.'0'| |tptp.'1'|))) % 0.28/0.62 (step @p35 :rule instantiate :premises (@p4) :args (@t60)) % 0.28/0.62 (step @p36 :rule cnf_or_pos :args (@t65)) % 0.28/0.62 (step @p37 :rule reordering :premises (@p36) :args ((or @t64 @t62 (not @t65)))) % 0.28/0.62 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34) :args (@t62 @t66 (@list @t63 @t65))) % 0.28/0.62 (step @p39 :rule true_intro :premises (@p38)) % 0.28/0.62 (step @p40 :rule eq-symm :args (@t42 |tptp.'1'|)) % 0.28/0.62 (step @p41 :rule cong :premises (@p40) :args (@t43)) % 0.28/0.62 (step @p42 :rule eq_resolve :premises (@p12 @p41)) % 0.28/0.62 (step @p43 :rule instantiate :premises (@p42) :args (@t60)) % 0.28/0.62 (step @p44 :rule cong :premises (@p43 @p43) :args (@t67)) % 0.28/0.62 (step @p45 :rule trans :premises (@p44 @p39)) % 0.28/0.62 (step @p46 :rule true_elim :premises (@p45)) % 0.28/0.62 (step @p47 :rule cnf_or_pos :args (@t70)) % 0.28/0.62 (step @p48 :rule reordering :premises (@p47) :args ((or @t69 @t68 (not @t70)))) % 0.28/0.62 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p30) :args (@t68 @t66 (@list @t67 @t70))) % 0.28/0.62 (step @p50 :rule cnf_or_pos :args (@t72)) % 0.28/0.62 (step @p51 :rule reordering :premises (@p50) :args ((or @t71 @t54 (not @t72)))) % 0.28/0.62 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p29) :args (@t54 @t66 (@list @t68 @t72))) % 0.28/0.62 (step @p53 :rule cnf_equiv_pos1 :args (@t56)) % 0.28/0.62 (step @p54 :rule reordering :premises (@p53) :args ((or (not @t54) @t53 (not @t56)))) % 0.28/0.62 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p25) :args (@t53 @t66 (@list @t54 @t56))) % 0.28/0.62 (step @p56 :rule aci_norm :args ((= (or (or @t74 @t73) @t14) @t75))) % 0.28/0.62 (step @p57 :rule refl :args (@t14)) % 0.28/0.62 (step @p58 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.28/0.62 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t17) @t14))) % 0.28/0.62 (step @p60 :rule trans :premises (@p59 @p56)) % 0.28/0.62 (step @p61 :rule bool-impl-elim :args (@t17 @t14)) % 0.28/0.62 (step @p62 :rule trans :premises (@p61 @p60)) % 0.28/0.62 (step @p63 :rule cong :premises (@p62) :args (@t19)) % 0.28/0.62 (step @p64 :rule eq_resolve :premises (@p6 @p63)) % 0.28/0.62 (step @p65 :rule eq-symm :args (@t52 @t49)) % 0.28/0.62 (step @p66 :rule refl :args (@t77)) % 0.28/0.62 (step @p67 :rule refl :args (@t78)) % 0.28/0.62 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args (@t79)) % 0.28/0.62 (step @p69 :rule refl :args (@t80)) % 0.28/0.62 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t80 @t79))) % 0.28/0.62 (assume-push @p260 @t80) % 0.28/0.62 (step @p72 :rule instantiate :premises (@p64) :args ((@list @t52 @t49))) % 0.28/0.62 (step-pop @p261 :rule scope :premises (@p72)) % 0.28/0.62 (step @p73 :rule process_scope :premises (@p261) :args (@t79)) % 0.28/0.62 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 0.28/0.62 (step @p76 :rule implies_elim :premises (@p75)) % 0.28/0.62 (step @p77 :rule chain_m_resolution :premises (@p76 @p64) :args (@t82 @t57 @t83)) % 0.28/0.62 (step @p78 :rule instantiate :premises (@p7) :args ((@list @t84 @t49 |tptp.'1'|))) % 0.28/0.62 (step @p79 :rule eq-symm :args (@t85 @t86)) % 0.28/0.62 (step @p80 :rule cong :premises (@p17 @p79) :args ((=> @t23 @t87))) % 0.28/0.62 (assume-push @p262 @t23) % 0.28/0.62 (step @p82 :rule instantiate :premises (@p7) :args ((@list @t49 @t84 |tptp.'1'|))) % 0.28/0.62 (step-pop @p263 :rule scope :premises (@p82)) % 0.28/0.62 (step @p83 :rule process_scope :premises (@p263) :args (@t87)) % 0.28/0.62 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 0.28/0.62 (step @p86 :rule implies_elim :premises (@p85)) % 0.28/0.62 (step @p87 :rule chain_m_resolution :premises (@p86 @p7) :args (@t88 @t57 @t58)) % 0.28/0.62 (step @p88 :rule bool-impl-elim :args (@t40 @t39)) % 0.28/0.62 (step @p89 :rule cong :premises (@p88) :args (@t41)) % 0.28/0.62 (step @p90 :rule eq_resolve :premises (@p11 @p89)) % 0.28/0.62 (step @p91 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@p144 :rule instantiate :premises (@p8) :args ((@list |tptp.'1'|))) % 0.28/0.62 (step @p145 :rule cnf_or_pos :args (@t110)) % 0.28/0.62 (step @p146 :rule reordering :premises (@p145) :args ((or @t109 @t107 (not @t110)))) % 0.28/0.62 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p143) :args (@t107 @t66 (@list @t108 @t110))) % 0.28/0.62 (step @p148 :rule cnf_or_pos :args (@t114)) % 0.28/0.62 (step @p149 :rule reordering :premises (@p148) :args ((or @t113 @t112 @t111 (not @t114)))) % 0.28/0.62 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p142 @p136) :args (@t111 @t104 (@list @t107 @t106 @t114))) % 0.28/0.62 (step @p151 :rule symm :premises (@p150)) % 0.28/0.62 (step @p152 :rule instantiate :premises (@p64) :args ((@list @t50 @t105))) % 0.28/0.62 (step @p153 :rule eq-symm :args (@t116 @t117)) % 0.28/0.62 (step @p154 :rule cong :premises (@p17 @p153) :args ((=> @t23 @t118))) % 0.28/0.62 (assume-push @p264 @t23) % 0.28/0.62 (step @p156 :rule instantiate 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chain_m_resolution :premises (@p169 @p7) :args (@t122 @t57 @t58)) % 0.28/0.62 (step @p171 :rule cnf_equiv_pos1 :args (@t122)) % 0.28/0.62 (step @p172 :rule reordering :premises (@p171) :args ((or @t71 @t120 (not @t122)))) % 0.28/0.62 (step @p173 :rule chain_m_resolution :premises (@p172 @p49 @p170) :args (@t120 @t66 (@list @t68 @t122))) % 0.28/0.62 (step @p174 :rule true_intro :premises (@p173)) % 0.28/0.62 (step @p175 :rule refl :args (@t49)) % 0.28/0.62 (step @p176 :rule instantiate :premises (@p2) :args ((@list |tptp.'1'| @t50))) % 0.28/0.62 (step @p177 :rule symm :premises (@p176)) % 0.28/0.62 (step @p178 :rule cong :premises (@p177 @p175) :args ((|tptp.'>='| (|tptp.'+'| @t50 |tptp.'1'|) @t49))) % 0.28/0.62 (step @p179 :rule instantiate :premises (@p42) :args ((@list @t50))) % 0.28/0.62 (step @p180 :rule symm :premises (@p43)) % 0.28/0.62 (step @p181 :rule instantiate :premises (@p2) :args ((@list |tptp.'0'| |tptp.'1'|))) % 0.28/0.62 (step @p182 :rule symm :premises (@p181)) % 0.28/0.62 (step @p183 :rule eq-symm :args (@t123 @t94)) % 0.28/0.62 (step @p184 :rule refl :args (@t125)) % 0.28/0.62 (step @p185 :rule refl :args (@t127)) % 0.28/0.62 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183) :args (@t128)) % 0.28/0.62 (step @p187 :rule cong :premises (@p69 @p186) :args ((=> @t80 @t128))) % 0.28/0.62 (assume-push @p268 @t80) % 0.28/0.62 (step @p189 :rule instantiate :premises (@p64) :args ((@list @t123 @t94))) % 0.28/0.62 (step-pop @p269 :rule scope :premises (@p189)) % 0.28/0.62 (step @p190 :rule process_scope :premises (@p269) :args (@t128)) % 0.28/0.62 (step @p192 :rule eq_resolve :premises (@p190 @p187)) % 0.28/0.62 (step @p193 :rule implies_elim :premises (@p192)) % 0.28/0.62 (step @p194 :rule chain_m_resolution :premises (@p193 @p64) :args (@t130 @t57 @t83)) % 0.28/0.62 (step @p195 :rule instantiate :premises (@p28) :args ((@list @t105 |tptp.'0'| |tptp.'0'|))) % 0.28/0.62 (step @p196 :rule cnf_or_pos :args (@t133)) % 0.28/0.62 (step @p197 :rule 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:rule chain_m_resolution :premises (@p208 @p206 @p198 @p194) :args (@t129 @t104 (@list @t126 @t124 @t130))) % 0.28/0.62 (step @p210 :rule symm :premises (@p209)) % 0.28/0.62 (step @p211 :rule trans :premises (@p210 @p135)) % 0.28/0.62 (step @p212 :rule cong :premises (@p99 @p211) :args ((|tptp.'+'| |tptp.'1'| @t123))) % 0.28/0.62 (step @p213 :rule trans :premises (@p212 @p182 @p180 @p179 @p177)) % 0.28/0.62 (step @p214 :rule symm :premises (@p212)) % 0.28/0.62 (step @p215 :rule trans :premises (@p43 @p181 @p214)) % 0.28/0.62 (step @p216 :rule trans :premises (@p182 @p180)) % 0.28/0.62 (step @p217 :rule trans :premises (@p216 @p215 @p213 @p176)) % 0.28/0.62 (step @p218 :rule cong :premises (@p217 @p175) :args ((|tptp.'>='| (|tptp.'+'| |tptp.'1'| |tptp.'0'|) @t49))) % 0.28/0.62 (step @p219 :rule symm :premises (@p216)) % 0.28/0.62 (step @p220 :rule trans :premises (@p151 @p135)) % 0.28/0.62 (step @p221 :rule cong :premises (@p180 @p220) :args ((|tptp.'+'| @t61 @t105))) % 0.28/0.62 (step @p222 :rule cong :premises (@p43 @p139) :args (@t115)) % 0.28/0.62 (step @p223 :rule trans :premises (@p222 @p221 @p182)) % 0.28/0.62 (step @p224 :rule trans :premises (@p223 @p180 @p219)) % 0.28/0.62 (step @p225 :rule cong :premises (@p224 @p175) :args (@t116)) % 0.28/0.62 (step @p226 :rule trans :premises (@p225 @p218 @p178 @p174)) % 0.28/0.62 (step @p227 :rule true_elim :premises (@p226)) % 0.28/0.62 (step @p228 :rule cnf_equiv_pos2 :args (@t119)) % 0.28/0.62 (step @p229 :rule reordering :premises (@p228) :args ((or @t117 (not @t116) (not @t119)))) % 0.28/0.62 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p161) :args (@t117 @t66 (@list @t116 @t119))) % 0.28/0.62 (step @p231 :rule instantiate :premises (@p90) :args ((@list @t49 |tptp.'0'| |tptp.'1'|))) % 0.28/0.63 (step @p232 :rule instantiate :premises (@p8) :args ((@list @t49))) % 0.28/0.63 (step @p233 :rule cnf_or_pos :args (@t140)) % 0.28/0.63 (step @p234 :rule reordering :premises (@p233) :args ((or @t139 @t137 (not @t140)))) % 0.28/0.63 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p231) :args (@t137 @t66 (@list @t138 @t140))) % 0.28/0.63 (step @p236 :rule cnf_or_pos :args (@t144)) % 0.28/0.63 (step @p237 :rule reordering :premises (@p236) :args ((or @t143 @t142 @t141 (not @t144)))) % 0.28/0.63 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p230 @p152) :args (@t141 @t104 (@list @t137 @t117 @t144))) % 0.28/0.63 (step @p239 :rule trans :premises (@p238 @p151 @p135)) % 0.28/0.63 (step @p240 :rule cong :premises (@p110 @p239) :args ((|tptp.'+'| @t51 @t50))) % 0.28/0.63 (step @p241 :rule instantiate :premises (@p2) :args ((@list @t50 @t51))) % 0.28/0.63 (step @p242 :rule trans :premises (@p241 @p240 @p117 @p115 @p110)) % 0.28/0.63 (step @p243 :rule cong :premises (@p175 @p242) :args (@t76)) % 0.28/0.63 (step @p244 :rule trans :premises (@p243 @p108)) % 0.28/0.63 (step @p245 :rule true_elim :premises (@p244)) % 0.28/0.63 (step @p246 :rule eq-symm :args (@t45 @t44)) % 0.28/0.63 (step @p247 :rule cong :premises (@p246) :args (@t47)) % 0.28/0.63 (step @p248 :rule cong :premises (@p247) :args (@t48)) % 0.28/0.63 (step @p249 :rule eq_resolve :premises (@p14 @p248)) % 0.28/0.63 (step @p250 :rule skolemize :premises (@p249)) % 0.28/0.63 (step @p251 :rule false_intro :premises (@p250)) % 0.28/0.63 (step @p252 :rule cong :premises (@p175 @p242) :args (@t81)) % 0.28/0.63 (step @p253 :rule trans :premises (@p252 @p251)) % 0.28/0.63 (step @p254 :rule false_elim :premises (@p253)) % 0.28/0.63 (step @p255 :rule cnf_or_pos :args (@t82)) % 0.28/0.63 (step @p256 :rule reordering :premises (@p255) :args ((or @t78 @t77 @t81 (not @t82)))) % 0.28/0.63 (step @p257 false :rule chain_m_resolution :premises (@p256 @p254 @p245 @p77 @p55) :args (false (@list true false false false) (@list @t81 @t76 @t82 @t53))) % 0.28/0.63 ) % 0.28/0.63 % SZS output end Proof % 0.28/0.63 % cvc5 exiting %------------------------------------------------------------------------------