%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE093+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 : n029.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 08:28:17 AM UTC 2026 % Result : Theorem 1.23s 1.44s % Output : Proof 1.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE093+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 % 0.16/0.35 % Computer : n029.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:13:32 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.23/1.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.23/1.44 % SZS status Theorem % 1.23/1.44 % SZS output start Proof % 1.23/1.44 ( % 1.23/1.44 (declare-sort $$unsorted 0) % 1.23/1.44 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 1.23/1.44 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 1.23/1.44 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.44 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.23/1.44 (declare-const tptp.zero $$unsorted) % 1.23/1.44 (declare-const tptp.one $$unsorted) % 1.23/1.44 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.44 (define @t1 () (@var "A" $$unsorted)) % 1.23/1.44 (define @t2 () (@var "B" $$unsorted)) % 1.23/1.44 (define @t3 () (tptp.addition @t1 @t2)) % 1.23/1.44 (define @t4 () (@list @t1 @t2)) % 1.23/1.44 (define @t5 () (@var "C" $$unsorted)) % 1.23/1.44 (define @t6 () (tptp.addition @t2 @t5)) % 1.23/1.44 (define @t7 () (tptp.addition @t1 tptp.zero)) % 1.23/1.44 (define @t8 () (@list @t1)) % 1.23/1.44 (define @t9 () (forall @t8 (= @t7 @t1))) % 1.23/1.44 (define @t10 () (tptp.multiplication @t1 @t2)) % 1.23/1.44 (define @t11 () (tptp.multiplication @t2 @t5)) % 1.23/1.44 (define @t12 () (@list @t1 @t2 @t5)) % 1.23/1.44 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 1.23/1.44 (define @t14 () (forall @t8 (= @t13 @t1))) % 1.23/1.44 (define @t15 () (tptp.multiplication @t1 @t5)) % 1.23/1.44 (define @t16 () (tptp.leq @t1 @t2)) % 1.23/1.44 (define @t17 () (= @t16 (= @t3 @t2))) % 1.23/1.44 (define @t18 () (forall @t4 @t17)) % 1.23/1.44 (define @t19 () (tptp.star @t1)) % 1.23/1.44 (define @t20 () (tptp.addition @t10 @t5)) % 1.23/1.44 (define @t21 () (@var "X0" $$unsorted)) % 1.23/1.44 (define @t22 () (tptp.domain @t21)) % 1.23/1.44 (define @t23 () (tptp.multiplication @t22 @t21)) % 1.23/1.44 (define @t24 () (tptp.addition @t21 @t23)) % 1.23/1.44 (define @t25 () (@list @t21)) % 1.23/1.44 (define @t26 () (forall @t25 (= @t24 @t23))) % 1.23/1.44 (define @t27 () (@var "X1" $$unsorted)) % 1.23/1.44 (define @t28 () (tptp.domain @t27)) % 1.23/1.44 (define @t29 () (@list @t21 @t27)) % 1.23/1.44 (define @t30 () (tptp.addition @t22 tptp.one)) % 1.23/1.44 (define @t31 () (forall @t25 (= @t30 tptp.one))) % 1.23/1.44 (define @t32 () (tptp.domain tptp.zero)) % 1.23/1.44 (define @t33 () (tptp.domain (tptp.star @t21))) % 1.23/1.44 (define @t34 () (forall @t25 (= @t33 tptp.one))) % 1.23/1.44 (define @t35 () (not @t34)) % 1.23/1.44 (define @t36 () (@quantifiers_skolemize (forall @t25 (= tptp.one @t33)) 0)) % 1.23/1.44 (define @t37 () (tptp.star @t36)) % 1.23/1.44 (define @t38 () (tptp.multiplication @t37 @t36)) % 1.23/1.44 (define @t39 () (tptp.domain @t37)) % 1.23/1.44 (define @t40 () (tptp.addition tptp.one @t38)) % 1.23/1.44 (define @t41 () (@list @t40 @t37)) % 1.23/1.44 (define @t42 () (tptp.addition @t40 @t37)) % 1.23/1.44 (define @t43 () (= @t37 @t42)) % 1.23/1.44 (define @t44 () (tptp.leq @t40 @t37)) % 1.23/1.44 (define @t45 () (= @t44 @t43)) % 1.23/1.44 (define @t46 () (@list @t32 @t39)) % 1.23/1.44 (define @t47 () (tptp.addition @t39 @t39)) % 1.23/1.44 (define @t48 () (tptp.domain @t40)) % 1.23/1.44 (define @t49 () (@list @t48 @t39)) % 1.23/1.44 (define @t50 () (@list tptp.one @t39 @t48)) % 1.23/1.44 (define @t51 () (tptp.addition @t38 @t47)) % 1.23/1.44 (define @t52 () (@list tptp.one @t48)) % 1.23/1.44 (define @t53 () (tptp.addition @t32 @t48)) % 1.23/1.44 (define @t54 () (tptp.addition @t32 @t39)) % 1.23/1.44 (define @t55 () (tptp.domain @t51)) % 1.23/1.44 (define @t56 () (tptp.domain tptp.one)) % 1.23/1.44 (define @t57 () (@list @t56 @t55 @t54)) % 1.23/1.44 (define @t58 () (@list tptp.one)) % 1.23/1.44 (define @t59 () (@list @t48)) % 1.23/1.44 (define @t60 () (@list @t56)) % 1.23/1.44 (define @t61 () (tptp.multiplication @t56 tptp.one)) % 1.23/1.44 (define @t62 () (= @t56 @t61)) % 1.23/1.44 (define @t63 () (not @t62)) % 1.23/1.44 (define @t64 () (tptp.multiplication @t48 tptp.one)) % 1.23/1.44 (define @t65 () (= @t48 @t64)) % 1.23/1.44 (define @t66 () (not @t65)) % 1.23/1.44 (define @t67 () (tptp.addition @t48 tptp.zero)) % 1.23/1.44 (define @t68 () (= @t48 @t67)) % 1.23/1.44 (define @t69 () (not @t68)) % 1.23/1.44 (define @t70 () (tptp.addition @t55 tptp.one)) % 1.23/1.44 (define @t71 () (tptp.addition tptp.one @t55)) % 1.23/1.44 (define @t72 () (= @t71 @t70)) % 1.23/1.44 (define @t73 () (not @t72)) % 1.23/1.44 (define @t74 () (tptp.addition (tptp.domain @t48) @t56)) % 1.23/1.44 (define @t75 () (tptp.addition @t48 tptp.one)) % 1.23/1.44 (define @t76 () (tptp.domain @t75)) % 1.23/1.44 (define @t77 () (= @t76 @t74)) % 1.23/1.44 (define @t78 () (not @t77)) % 1.23/1.44 (define @t79 () (tptp.addition @t56 tptp.one)) % 1.23/1.44 (define @t80 () (= tptp.one @t79)) % 1.23/1.44 (define @t81 () (not @t80)) % 1.23/1.44 (define @t82 () (= @t61 (tptp.addition tptp.one @t61))) % 1.23/1.44 (define @t83 () (not @t82)) % 1.23/1.44 (define @t84 () (tptp.addition @t55 @t56)) % 1.23/1.44 (define @t85 () (tptp.addition @t84 tptp.one)) % 1.23/1.44 (define @t86 () (= (tptp.addition @t55 @t79) @t85)) % 1.23/1.44 (define @t87 () (not @t86)) % 1.23/1.44 (define @t88 () (tptp.addition @t71 @t56)) % 1.23/1.44 (define @t89 () (= (tptp.addition tptp.one @t84) @t88)) % 1.23/1.44 (define @t90 () (not @t89)) % 1.23/1.44 (define @t91 () (tptp.addition (tptp.addition @t54 @t55) @t56)) % 1.23/1.44 (define @t92 () (tptp.addition @t54 @t84)) % 1.23/1.44 (define @t93 () (= @t92 @t91)) % 1.23/1.44 (define @t94 () (not @t93)) % 1.23/1.44 (define @t95 () (tptp.addition @t53 @t39)) % 1.23/1.44 (define @t96 () (= @t95 (tptp.addition @t39 @t53))) % 1.23/1.44 (define @t97 () (not @t96)) % 1.23/1.44 (define @t98 () (= @t53 (tptp.addition @t48 @t32))) % 1.23/1.44 (define @t99 () (not @t98)) % 1.23/1.44 (define @t100 () (tptp.addition tptp.one @t48)) % 1.23/1.44 (define @t101 () (= @t100 @t75)) % 1.23/1.44 (define @t102 () (not @t101)) % 1.23/1.44 (define @t103 () (tptp.addition @t51 tptp.one)) % 1.23/1.44 (define @t104 () (= (tptp.domain @t103) @t84)) % 1.23/1.44 (define @t105 () (not @t104)) % 1.23/1.44 (define @t106 () (tptp.addition @t39 tptp.zero)) % 1.23/1.44 (define @t107 () (= @t39 @t106)) % 1.23/1.44 (define @t108 () (not @t107)) % 1.23/1.44 (define @t109 () (tptp.addition @t48 @t39)) % 1.23/1.44 (define @t110 () (tptp.addition @t109 tptp.one)) % 1.23/1.44 (define @t111 () (tptp.addition @t39 tptp.one)) % 1.23/1.44 (define @t112 () (= (tptp.addition @t48 @t111) @t110)) % 1.23/1.44 (define @t113 () (not @t112)) % 1.23/1.44 (define @t114 () (tptp.addition @t32 @t109)) % 1.23/1.44 (define @t115 () (= @t114 @t95)) % 1.23/1.44 (define @t116 () (not @t115)) % 1.23/1.44 (define @t117 () (tptp.addition @t39 @t48)) % 1.23/1.44 (define @t118 () (= @t109 @t117)) % 1.23/1.44 (define @t119 () (not @t118)) % 1.23/1.44 (define @t120 () (tptp.domain @t42)) % 1.23/1.44 (define @t121 () (= @t120 @t109)) % 1.23/1.44 (define @t122 () (not @t121)) % 1.23/1.44 (define @t123 () (tptp.addition @t47 tptp.one)) % 1.23/1.44 (define @t124 () (= (tptp.addition @t38 @t123) @t103)) % 1.23/1.44 (define @t125 () (not @t124)) % 1.23/1.44 (define @t126 () (= @t54 (tptp.addition @t39 @t32))) % 1.23/1.44 (define @t127 () (not @t126)) % 1.23/1.44 (define @t128 () (not @t43)) % 1.23/1.44 (define @t129 () (= (tptp.addition @t39 @t111) @t123)) % 1.23/1.44 (define @t130 () (not @t129)) % 1.23/1.44 (define @t131 () (tptp.addition @t38 tptp.one)) % 1.23/1.44 (define @t132 () (= @t40 @t131)) % 1.23/1.44 (define @t133 () (not @t132)) % 1.23/1.44 (define @t134 () (= tptp.one @t111)) % 1.23/1.44 (define @t135 () (not @t134)) % 1.23/1.44 (define @t136 () (= tptp.one @t39)) % 1.23/1.44 (define @t137 () (= tptp.zero @t32)) % 1.23/1.44 (define @t138 () (not @t137)) % 1.23/1.44 (define @t139 () (not @t136)) % 1.23/1.44 (define @t140 () (= @t56 @t91)) % 1.23/1.44 (define @t141 () (not @t140)) % 1.23/1.44 (define @t142 () (tptp.addition @t39 @t64)) % 1.23/1.44 (define @t143 () (tptp.addition @t55 @t74)) % 1.23/1.44 (define @t144 () (tptp.addition @t71 @t74)) % 1.23/1.44 (define @t145 () (and @t141 @t140)) % 1.23/1.44 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 1.23/1.44 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 1.23/1.44 (assume @p3 @t9) % 1.23/1.44 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 1.23/1.44 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 1.23/1.44 (assume @p6 @t14) % 1.23/1.44 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 1.23/1.44 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t15)))) % 1.23/1.44 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t11)))) % 1.23/1.44 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 1.23/1.44 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 1.23/1.44 (assume @p12 @t18) % 1.23/1.44 (assume @p13 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t19)) @t19))) % 1.23/1.44 (assume @p14 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t19 @t1)) @t19))) % 1.23/1.44 (assume @p15 (forall @t12 (=> (tptp.leq @t20 @t2) (tptp.leq (tptp.multiplication @t19 @t5) @t2)))) % 1.23/1.44 (assume @p16 (forall @t12 (=> (tptp.leq @t20 @t1) (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1)))) % 1.23/1.44 (assume @p17 @t26) % 1.23/1.44 (assume @p18 (forall @t29 (= (tptp.domain (tptp.multiplication @t21 @t27)) (tptp.domain (tptp.multiplication @t21 @t28))))) % 1.23/1.44 (assume @p19 @t31) % 1.23/1.44 (assume @p20 (= @t32 tptp.zero)) % 1.23/1.44 (assume @p21 (forall @t29 (= (tptp.domain (tptp.addition @t21 @t27)) (tptp.addition @t22 @t28)))) % 1.23/1.44 (assume @p22 @t35) % 1.23/1.44 (assume @p23 true) % 1.23/1.44 (step @p24 :rule symm :premises (@p20)) % 1.23/1.44 (step @p25 :rule eq-symm :args (@t33 tptp.one)) % 1.23/1.44 (step @p26 :rule cong :premises (@p25) :args (@t34)) % 1.23/1.44 (step @p27 :rule cong :premises (@p26) :args (@t35)) % 1.23/1.44 (step @p28 :rule eq_resolve :premises (@p22 @p27)) % 1.23/1.44 (step @p29 :rule skolemize :premises (@p28)) % 1.23/1.44 (step @p30 :rule eq-symm :args (@t30 tptp.one)) % 1.23/1.44 (step @p31 :rule cong :premises (@p30) :args (@t31)) % 1.23/1.44 (step @p32 :rule eq_resolve :premises (@p19 @p31)) % 1.23/1.44 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t37))) % 1.23/1.44 (step @p34 :rule instantiate :premises (@p1) :args ((@list tptp.one @t38))) % 1.23/1.44 (step @p35 :rule instantiate :premises (@p2) :args ((@list tptp.one @t39 @t39))) % 1.23/1.44 (step @p36 :rule eq-symm :args (@t3 @t2)) % 1.23/1.44 (step @p37 :rule refl :args (@t16)) % 1.23/1.44 (step @p38 :rule cong :premises (@p37 @p36) :args (@t17)) % 1.23/1.44 (step @p39 :rule cong :premises (@p38) :args (@t18)) % 1.23/1.44 (step @p40 :rule eq_resolve :premises (@p12 @p39)) % 1.23/1.44 (step @p41 :rule instantiate :premises (@p40) :args (@t41)) % 1.23/1.44 (step @p42 :rule instantiate :premises (@p14) :args ((@list @t36))) % 1.23/1.44 (step @p43 :rule cnf_equiv_pos1 :args (@t45)) % 1.23/1.44 (step @p44 :rule reordering :premises (@p43) :args ((or (not @t44) @t43 (not @t45)))) % 1.23/1.44 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p41) :args (@t43 (@list false false) (@list @t44 @t45))) % 1.23/1.44 (step @p46 :rule instantiate :premises (@p1) :args (@t46)) % 1.23/1.44 (step @p47 :rule instantiate :premises (@p2) :args ((@list tptp.one @t47 @t38))) % 1.23/1.44 (step @p48 :rule instantiate :premises (@p21) :args (@t41)) % 1.23/1.44 (step @p49 :rule instantiate :premises (@p1) :args (@t49)) % 1.23/1.44 (step @p50 :rule instantiate :premises (@p2) :args ((@list @t39 @t48 @t32))) % 1.23/1.44 (step @p51 :rule instantiate :premises (@p2) :args (@t50)) % 1.23/1.44 (step @p52 :rule eq-symm :args (@t7 @t1)) % 1.23/1.44 (step @p53 :rule cong :premises (@p52) :args (@t9)) % 1.23/1.44 (step @p54 :rule eq_resolve :premises (@p3 @p53)) % 1.23/1.44 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t39))) % 1.23/1.44 (step @p56 :rule instantiate :premises (@p21) :args ((@list @t51 tptp.one))) % 1.23/1.44 (step @p57 :rule instantiate :premises (@p1) :args (@t52)) % 1.23/1.44 (step @p58 :rule instantiate :premises (@p1) :args ((@list @t32 @t48))) % 1.23/1.44 (step @p59 :rule instantiate :premises (@p1) :args ((@list @t53 @t39))) % 1.23/1.44 (step @p60 :rule instantiate :premises (@p2) :args (@t57)) % 1.23/1.44 (step @p61 :rule instantiate :premises (@p2) :args ((@list @t56 @t55 tptp.one))) % 1.23/1.44 (step @p62 :rule instantiate :premises (@p2) :args ((@list tptp.one @t56 @t55))) % 1.23/1.44 (step @p63 :rule eq-symm :args (@t24 @t23)) % 1.23/1.44 (step @p64 :rule cong :premises (@p63) :args (@t26)) % 1.23/1.44 (step @p65 :rule eq_resolve :premises (@p17 @p64)) % 1.23/1.44 (step @p66 :rule instantiate :premises (@p65) :args (@t58)) % 1.23/1.44 (step @p67 :rule instantiate :premises (@p32) :args (@t58)) % 1.23/1.44 (step @p68 :rule instantiate :premises (@p21) :args ((@list @t48 tptp.one))) % 1.23/1.44 (step @p69 :rule instantiate :premises (@p1) :args ((@list tptp.one @t55))) % 1.23/1.44 (step @p70 :rule instantiate :premises (@p54) :args (@t59)) % 1.23/1.44 (step @p71 :rule eq-symm :args (@t13 @t1)) % 1.23/1.44 (step @p72 :rule cong :premises (@p71) :args (@t14)) % 1.23/1.44 (step @p73 :rule eq_resolve :premises (@p6 @p72)) % 1.23/1.44 (step @p74 :rule instantiate :premises (@p73) :args (@t59)) % 1.23/1.44 (step @p75 :rule instantiate :premises (@p73) :args (@t60)) % 1.23/1.44 (step @p76 :rule refl :args (@t63)) % 1.23/1.44 (step @p77 :rule refl :args (@t66)) % 1.23/1.44 (step @p78 :rule refl :args (@t69)) % 1.23/1.44 (step @p79 :rule refl :args (@t73)) % 1.23/1.44 (step @p80 :rule refl :args (@t78)) % 1.23/1.44 (step @p81 :rule refl :args (@t81)) % 1.23/1.44 (step @p82 :rule refl :args (@t83)) % 1.23/1.44 (step @p83 :rule refl :args (@t87)) % 1.23/1.44 (step @p84 :rule refl :args (@t90)) % 1.23/1.44 (step @p85 :rule refl :args (@t94)) % 1.23/1.44 (step @p86 :rule refl :args (@t97)) % 1.23/1.44 (step @p87 :rule refl :args (@t99)) % 1.23/1.44 (step @p88 :rule refl :args (@t102)) % 1.23/1.44 (step @p89 :rule refl :args (@t105)) % 1.23/1.44 (step @p90 :rule refl :args (@t108)) % 1.23/1.44 (step @p91 :rule refl :args (@t113)) % 1.23/1.44 (step @p92 :rule refl :args (@t116)) % 1.23/1.44 (step @p93 :rule refl :args (@t119)) % 1.23/1.44 (step @p94 :rule refl :args (@t122)) % 1.23/1.44 (step @p95 :rule refl :args (@t125)) % 1.23/1.44 (step @p96 :rule refl :args (@t127)) % 1.23/1.44 (step @p97 :rule refl :args (@t128)) % 1.23/1.44 (step @p98 :rule refl :args (@t130)) % 1.23/1.44 (step @p99 :rule refl :args (@t133)) % 1.23/1.44 (step @p100 :rule refl :args (@t135)) % 1.23/1.44 (step @p101 :rule bool-double-not-elim :args (@t136)) % 1.23/1.44 (step @p102 :rule refl :args (@t138)) % 1.23/1.44 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76) :args ((or @t138 (not @t139) @t135 @t133 @t130 @t128 @t127 @t125 @t122 @t119 @t116 @t113 @t108 @t105 @t102 @t99 @t97 @t94 @t90 @t87 @t83 @t81 @t78 @t73 @t69 @t66 @t63))) % 1.23/1.44 (assume-push @p269 @t141) % 1.23/1.44 (assume-push @p270 @t140) % 1.23/1.44 (step @p106 :rule evaluate :args ((= false true))) % 1.23/1.44 (step @p107 :rule instantiate :premises (@p2) :args (@t57)) % 1.23/1.44 (step @p108 :rule refl :args (@t39)) % 1.23/1.44 (step @p109 :rule cong :premises (@p108 @p33) :args (@t111)) % 1.23/1.44 (step @p110 :rule trans :premises (@p33 @p109 @p35)) % 1.23/1.44 (step @p111 :rule refl :args (@t38)) % 1.23/1.44 (step @p112 :rule cong :premises (@p111 @p110) :args (@t131)) % 1.23/1.44 (step @p113 :rule trans :premises (@p34 @p112 @p47)) % 1.23/1.44 (step @p114 :rule cong :premises (@p113) :args (@t48)) % 1.23/1.44 (step @p115 :rule trans :premises (@p114 @p56)) % 1.23/1.44 (step @p116 :rule symm :premises (@p46)) % 1.23/1.44 (step @p117 :rule cong :premises (@p108 @p24) :args (@t106)) % 1.23/1.44 (step @p118 :rule symm :premises (@p45)) % 1.23/1.44 (step @p119 :rule cong :premises (@p118) :args (@t120)) % 1.23/1.44 (step @p120 :rule symm :premises (@p48)) % 1.23/1.44 (step @p121 :rule symm :premises (@p49)) % 1.23/1.44 (step @p122 :rule trans :premises (@p121 @p120 @p119 @p55 @p117 @p116)) % 1.23/1.44 (step @p123 :rule symm :premises (@p119)) % 1.23/1.44 (step @p124 :rule trans :premises (@p123 @p48 @p49)) % 1.23/1.44 (step @p125 :rule trans :premises (@p124 @p122)) % 1.23/1.44 (step @p126 :rule cong :premises (@p125 @p115) :args (@t117)) % 1.23/1.44 (step @p127 :rule instantiate :premises (@p1) :args (@t49)) % 1.23/1.44 (step @p128 :rule instantiate :premises (@p21) :args (@t41)) % 1.23/1.44 (step @p129 :rule symm :premises (@p55)) % 1.23/1.44 (step @p130 :rule symm :premises (@p117)) % 1.23/1.44 (step @p131 :rule instantiate :premises (@p1) :args (@t46)) % 1.23/1.44 (step @p132 :rule trans :premises (@p120 @p119)) % 1.23/1.44 (step @p133 :rule refl :args (@t32)) % 1.23/1.44 (step @p134 :rule cong :premises (@p133 @p132) :args (@t114)) % 1.23/1.44 (step @p135 :rule symm :premises (@p50)) % 1.23/1.44 (step @p136 :rule symm :premises (@p59)) % 1.23/1.44 (step @p137 :rule symm :premises (@p58)) % 1.23/1.44 (step @p138 :rule refl :args (@t48)) % 1.23/1.44 (step @p139 :rule cong :premises (@p138 @p24) :args (@t67)) % 1.23/1.44 (step @p140 :rule symm :premises (@p74)) % 1.23/1.44 (step @p141 :rule trans :premises (@p140 @p70 @p139 @p137)) % 1.23/1.44 (step @p142 :rule cong :premises (@p108 @p141) :args (@t142)) % 1.23/1.44 (step @p143 :rule symm :premises (@p114)) % 1.23/1.44 (step @p144 :rule symm :premises (@p56)) % 1.23/1.44 (step @p145 :rule symm :premises (@p33)) % 1.23/1.44 (step @p146 :rule refl :args (tptp.one)) % 1.23/1.44 (step @p147 :rule cong :premises (@p132 @p146) :args (@t110)) % 1.23/1.44 (step @p148 :rule cong :premises (@p138 @p33) :args (@t75)) % 1.23/1.44 (step @p149 :rule trans :premises (@p148 @p51 @p147 @p145)) % 1.23/1.44 (step @p150 :rule cong :premises (@p149) :args (@t76)) % 1.23/1.44 (step @p151 :rule symm :premises (@p68)) % 1.23/1.44 (step @p152 :rule trans :premises (@p151 @p150)) % 1.23/1.44 (step @p153 :rule refl :args (@t55)) % 1.23/1.44 (step @p154 :rule cong :premises (@p153 @p152) :args (@t143)) % 1.23/1.44 (step @p155 :rule symm :premises (@p150)) % 1.23/1.44 (step @p156 :rule symm :premises (@p75)) % 1.23/1.44 (step @p157 :rule symm :premises (@p66)) % 1.23/1.44 (step @p158 :rule trans :premises (@p151 @p150 @p75)) % 1.23/1.44 (step @p159 :rule symm :premises (@p115)) % 1.23/1.44 (step @p160 :rule cong :premises (@p159 @p146) :args (@t85)) % 1.23/1.44 (step @p161 :rule cong :premises (@p153 @p67) :args (@t70)) % 1.23/1.44 (step @p162 :rule trans :premises (@p69 @p161 @p62 @p160 @p148 @p51 @p147 @p145)) % 1.23/1.44 (step @p163 :rule cong :premises (@p162 @p158) :args (@t144)) % 1.23/1.44 (step @p164 :rule symm :premises (@p152)) % 1.23/1.44 (step @p165 :rule refl :args (@t71)) % 1.23/1.44 (step @p166 :rule cong :premises (@p165 @p164) :args (@t88)) % 1.23/1.44 (step @p167 :rule cong :premises (@p146 @p115) :args (@t100)) % 1.23/1.44 (step @p168 :rule symm :premises (@p57)) % 1.23/1.44 (step @p169 :rule symm :premises (@p148)) % 1.23/1.44 (step @p170 :rule symm :premises (@p51)) % 1.23/1.44 (step @p171 :rule symm :premises (@p147)) % 1.23/1.44 (step @p172 :rule trans :premises (@p33 @p171 @p170 @p169 @p168 @p167 @p61 @p166 @p163 @p157 @p156 @p155 @p68)) % 1.23/1.44 (step @p173 :rule cong :premises (@p153 @p172) :args (@t70)) % 1.23/1.44 (step @p174 :rule symm :premises (@p161)) % 1.23/1.44 (step @p175 :rule symm :premises (@p62)) % 1.23/1.44 (step @p176 :rule symm :premises (@p160)) % 1.23/1.44 (step @p177 :rule trans :premises (@p33 @p171 @p170 @p169 @p176 @p175 @p174 @p173 @p154 @p144 @p143 @p74)) % 1.23/1.44 (step @p178 :rule cong :premises (@p108 @p177) :args (@t111)) % 1.23/1.44 (step @p179 :rule instantiate :premises (@p2) :args (@t50)) % 1.23/1.44 (step @p180 :rule instantiate :premises (@p1) :args (@t52)) % 1.23/1.44 (step @p181 :rule symm :premises (@p167)) % 1.23/1.44 (step @p182 :rule symm :premises (@p61)) % 1.23/1.44 (step @p183 :rule symm :premises (@p166)) % 1.23/1.44 (step @p184 :rule symm :premises (@p163)) % 1.23/1.44 (step @p185 :rule instantiate :premises (@p65) :args (@t58)) % 1.23/1.44 (step @p186 :rule instantiate :premises (@p73) :args (@t60)) % 1.23/1.44 (step @p187 :rule trans :premises (@p186 @p185 @p184 @p183 @p182 @p181 @p180 @p148 @p179 @p147 @p178 @p142 @p136 @p135 @p134 @p131 @p130 @p129 @p123 @p128 @p127 @p126 @p107)) % 1.23/1.44 (step @p188 :rule true_intro :premises (@p187)) % 1.23/1.44 (step @p189 :rule false_intro :premises (@p29)) % 1.23/1.44 (step @p190 :rule trans :premises (@p121 @p120 @p119)) % 1.23/1.44 (step @p191 :rule trans :premises (@p46 @p130 @p129 @p123 @p48 @p49)) % 1.23/1.44 (step @p192 :rule trans :premises (@p191 @p190)) % 1.23/1.44 (step @p193 :rule cong :premises (@p192 @p159) :args (@t92)) % 1.23/1.44 (step @p194 :rule symm :premises (@p60)) % 1.23/1.44 (step @p195 :rule trans :premises (@p194 @p193 @p121 @p120 @p119)) % 1.23/1.44 (step @p196 :rule trans :premises (@p75 @p66 @p184 @p183 @p182 @p181 @p57 @p148 @p51 @p147 @p145)) % 1.23/1.44 (step @p197 :rule cong :premises (@p196 @p195) :args (@t140)) % 1.23/1.44 (step @p198 :rule trans :premises (@p197 @p189)) % 1.23/1.44 (step @p199 :rule symm :premises (@p198)) % 1.23/1.44 (step @p200 :rule trans :premises (@p199 @p188)) % 1.23/1.44 (step @p201 false :rule eq_resolve :premises (@p200 @p106)) % 1.23/1.44 (step-pop @p271 :rule scope :premises (@p201)) % 1.23/1.44 (step-pop @p272 :rule scope :premises (@p271)) % 1.23/1.44 (step @p202 :rule process_scope :premises (@p272) :args (false)) % 1.23/1.44 (assume-push @p273 @t137) % 1.23/1.44 (assume-push @p274 @t139) % 1.23/1.44 (assume-push @p275 @t134) % 1.23/1.44 (assume-push @p276 @t132) % 1.23/1.44 (assume-push @p277 @t129) % 1.23/1.44 (assume-push @p278 @t43) % 1.23/1.44 (assume-push @p279 @t126) % 1.23/1.44 (assume-push @p280 @t124) % 1.23/1.44 (assume-push @p281 @t121) % 1.23/1.44 (assume-push @p282 @t118) % 1.23/1.44 (assume-push @p283 @t115) % 1.23/1.44 (assume-push @p284 @t112) % 1.23/1.44 (assume-push @p285 @t107) % 1.23/1.44 (assume-push @p286 @t104) % 1.23/1.44 (assume-push @p287 @t101) % 1.23/1.44 (assume-push @p288 @t98) % 1.23/1.44 (assume-push @p289 @t96) % 1.23/1.44 (assume-push @p290 @t93) % 1.23/1.44 (assume-push @p291 @t89) % 1.23/1.44 (assume-push @p292 @t86) % 1.23/1.44 (assume-push @p293 @t82) % 1.23/1.44 (assume-push @p294 @t80) % 1.23/1.44 (assume-push @p295 @t77) % 1.23/1.44 (assume-push @p296 @t72) % 1.23/1.44 (assume-push @p297 @t68) % 1.23/1.44 (assume-push @p298 @t65) % 1.23/1.44 (assume-push @p299 @t62) % 1.23/1.44 (step @p108 :rule refl :args (@t39)) % 1.23/1.44 (step @p109 :rule cong :premises (@p108 @p33) :args (@t111)) % 1.23/1.44 (step @p110 :rule trans :premises (@p33 @p109 @p35)) % 1.23/1.44 (step @p111 :rule refl :args (@t38)) % 1.23/1.44 (step @p112 :rule cong :premises (@p111 @p110) :args (@t131)) % 1.23/1.44 (step @p113 :rule trans :premises (@p34 @p112 @p47)) % 1.23/1.44 (step @p114 :rule cong :premises (@p113) :args (@t48)) % 1.23/1.44 (step @p115 :rule trans :premises (@p114 @p56)) % 1.23/1.44 (step @p116 :rule symm :premises (@p46)) % 1.23/1.44 (step @p117 :rule cong :premises (@p108 @p24) :args (@t106)) % 1.23/1.44 (step @p118 :rule symm :premises (@p45)) % 1.23/1.44 (step @p119 :rule cong :premises (@p118) :args (@t120)) % 1.23/1.44 (step @p120 :rule symm :premises (@p48)) % 1.23/1.44 (step @p121 :rule symm :premises (@p49)) % 1.23/1.44 (step @p122 :rule trans :premises (@p121 @p120 @p119 @p55 @p117 @p116)) % 1.23/1.44 (step @p123 :rule symm :premises (@p119)) % 1.23/1.44 (step @p124 :rule trans :premises (@p123 @p48 @p49)) % 1.23/1.44 (step @p125 :rule trans :premises (@p124 @p122)) % 1.23/1.44 (step @p126 :rule cong :premises (@p125 @p115) :args (@t117)) % 1.23/1.44 (step @p129 :rule symm :premises (@p55)) % 1.23/1.44 (step @p130 :rule symm :premises (@p117)) % 1.23/1.44 (step @p132 :rule trans :premises (@p120 @p119)) % 1.23/1.44 (step @p133 :rule refl :args (@t32)) % 1.23/1.44 (step @p134 :rule cong :premises (@p133 @p132) :args (@t114)) % 1.23/1.44 (step @p135 :rule symm :premises (@p50)) % 1.23/1.44 (step @p136 :rule symm :premises (@p59)) % 1.23/1.44 (step @p137 :rule symm :premises (@p58)) % 1.23/1.44 (step @p138 :rule refl :args (@t48)) % 1.23/1.44 (step @p139 :rule cong :premises (@p138 @p24) :args (@t67)) % 1.23/1.44 (step @p140 :rule symm :premises (@p74)) % 1.23/1.44 (step @p141 :rule trans :premises (@p140 @p70 @p139 @p137)) % 1.23/1.44 (step @p142 :rule cong :premises (@p108 @p141) :args (@t142)) % 1.23/1.44 (step @p143 :rule symm :premises (@p114)) % 1.23/1.44 (step @p144 :rule symm :premises (@p56)) % 1.23/1.44 (step @p145 :rule symm :premises (@p33)) % 1.23/1.44 (step @p146 :rule refl :args (tptp.one)) % 1.23/1.44 (step @p147 :rule cong :premises (@p132 @p146) :args (@t110)) % 1.23/1.44 (step @p148 :rule cong :premises (@p138 @p33) :args (@t75)) % 1.23/1.44 (step @p149 :rule trans :premises (@p148 @p51 @p147 @p145)) % 1.23/1.44 (step @p150 :rule cong :premises (@p149) :args (@t76)) % 1.23/1.44 (step @p151 :rule symm :premises (@p68)) % 1.23/1.44 (step @p152 :rule trans :premises (@p151 @p150)) % 1.23/1.44 (step @p153 :rule refl :args (@t55)) % 1.23/1.44 (step @p154 :rule cong :premises (@p153 @p152) :args (@t143)) % 1.23/1.44 (step @p155 :rule symm :premises (@p150)) % 1.23/1.44 (step @p156 :rule symm :premises (@p75)) % 1.23/1.44 (step @p157 :rule symm :premises (@p66)) % 1.23/1.44 (step @p158 :rule trans :premises (@p151 @p150 @p75)) % 1.23/1.44 (step @p159 :rule symm :premises (@p115)) % 1.23/1.44 (step @p160 :rule cong :premises (@p159 @p146) :args (@t85)) % 1.23/1.44 (step @p161 :rule cong :premises (@p153 @p67) :args (@t70)) % 1.23/1.44 (step @p162 :rule trans :premises (@p69 @p161 @p62 @p160 @p148 @p51 @p147 @p145)) % 1.23/1.44 (step @p163 :rule cong :premises (@p162 @p158) :args (@t144)) % 1.23/1.44 (step @p164 :rule symm :premises (@p152)) % 1.23/1.44 (step @p165 :rule refl :args (@t71)) % 1.23/1.44 (step @p166 :rule cong :premises (@p165 @p164) :args (@t88)) % 1.23/1.44 (step @p167 :rule cong :premises (@p146 @p115) :args (@t100)) % 1.23/1.44 (step @p168 :rule symm :premises (@p57)) % 1.23/1.44 (step @p169 :rule symm :premises (@p148)) % 1.23/1.44 (step @p170 :rule symm :premises (@p51)) % 1.23/1.44 (step @p171 :rule symm :premises (@p147)) % 1.23/1.44 (step @p172 :rule trans :premises (@p33 @p171 @p170 @p169 @p168 @p167 @p61 @p166 @p163 @p157 @p156 @p155 @p68)) % 1.23/1.44 (step @p173 :rule cong :premises (@p153 @p172) :args (@t70)) % 1.23/1.44 (step @p174 :rule symm :premises (@p161)) % 1.23/1.44 (step @p175 :rule symm :premises (@p62)) % 1.23/1.44 (step @p176 :rule symm :premises (@p160)) % 1.23/1.44 (step @p177 :rule trans :premises (@p33 @p171 @p170 @p169 @p176 @p175 @p174 @p173 @p154 @p144 @p143 @p74)) % 1.23/1.44 (step @p178 :rule cong :premises (@p108 @p177) :args (@t111)) % 1.23/1.44 (step @p181 :rule symm :premises (@p167)) % 1.23/1.44 (step @p182 :rule symm :premises (@p61)) % 1.23/1.44 (step @p183 :rule symm :premises (@p166)) % 1.23/1.44 (step @p184 :rule symm :premises (@p163)) % 1.23/1.44 (step @p232 :rule trans :premises (@p75 @p66 @p184 @p183 @p182 @p181 @p57 @p148 @p51 @p147 @p178 @p142 @p136 @p135 @p134 @p46 @p130 @p129 @p123 @p48 @p49 @p126 @p60)) % 1.23/1.44 (step @p189 :rule false_intro :premises (@p29)) % 1.23/1.44 (step @p190 :rule trans :premises (@p121 @p120 @p119)) % 1.23/1.44 (step @p191 :rule trans :premises (@p46 @p130 @p129 @p123 @p48 @p49)) % 1.23/1.44 (step @p192 :rule trans :premises (@p191 @p190)) % 1.23/1.44 (step @p193 :rule cong :premises (@p192 @p159) :args (@t92)) % 1.23/1.44 (step @p194 :rule symm :premises (@p60)) % 1.23/1.44 (step @p195 :rule trans :premises (@p194 @p193 @p121 @p120 @p119)) % 1.23/1.44 (step @p196 :rule trans :premises (@p75 @p66 @p184 @p183 @p182 @p181 @p57 @p148 @p51 @p147 @p145)) % 1.23/1.44 (step @p197 :rule cong :premises (@p196 @p195) :args (@t140)) % 1.23/1.44 (step @p233 :rule trans :premises (@p197 @p189)) % 1.23/1.44 (step @p234 :rule false_elim :premises (@p233)) % 1.23/1.44 (step @p235 :rule and_intro :premises (@p234 @p232)) % 1.23/1.44 (step-pop @p300 :rule scope :premises (@p235)) % 1.23/1.44 (step-pop @p301 :rule scope :premises (@p300)) % 1.23/1.44 (step-pop @p302 :rule scope :premises (@p301)) % 1.23/1.44 (step-pop @p303 :rule scope :premises (@p302)) % 1.23/1.44 (step-pop @p304 :rule scope :premises (@p303)) % 1.23/1.44 (step-pop @p305 :rule scope :premises (@p304)) % 1.23/1.44 (step-pop @p306 :rule scope :premises (@p305)) % 1.23/1.44 (step-pop @p307 :rule scope :premises (@p306)) % 1.23/1.44 (step-pop @p308 :rule scope :premises (@p307)) % 1.23/1.44 (step-pop @p309 :rule scope :premises (@p308)) % 1.23/1.44 (step-pop @p310 :rule scope :premises (@p309)) % 1.23/1.44 (step-pop @p311 :rule scope :premises (@p310)) % 1.23/1.44 (step-pop @p312 :rule scope :premises (@p311)) % 1.23/1.44 (step-pop @p313 :rule scope :premises (@p312)) % 1.23/1.44 (step-pop @p314 :rule scope :premises (@p313)) % 1.23/1.44 (step-pop @p315 :rule scope :premises (@p314)) % 1.23/1.44 (step-pop @p316 :rule scope :premises (@p315)) % 1.23/1.44 (step-pop @p317 :rule scope :premises (@p316)) % 1.23/1.44 (step-pop @p318 :rule scope :premises (@p317)) % 1.23/1.44 (step-pop @p319 :rule scope :premises (@p318)) % 1.23/1.44 (step-pop @p320 :rule scope :premises (@p319)) % 1.23/1.44 (step-pop @p321 :rule scope :premises (@p320)) % 1.23/1.44 (step-pop @p322 :rule scope :premises (@p321)) % 1.23/1.44 (step-pop @p323 :rule scope :premises (@p322)) % 1.23/1.44 (step-pop @p324 :rule scope :premises (@p323)) % 1.23/1.44 (step-pop @p325 :rule scope :premises (@p324)) % 1.23/1.44 (step-pop @p326 :rule scope :premises (@p325)) % 1.23/1.44 (step @p236 :rule process_scope :premises (@p326) :args (@t145)) % 1.23/1.44 (step @p264 :rule implies_elim :premises (@p236)) % 1.23/1.44 (step @p265 :rule resolution :premises (@p264 @p202) :args (true @t145)) % 1.23/1.44 (step @p266 :rule not_and :premises (@p265)) % 1.23/1.44 (step @p267 :rule eq_resolve :premises (@p266 @p103)) % 1.23/1.44 (step @p268 false :rule chain_m_resolution :premises (@p267 @p75 @p74 @p70 @p69 @p68 @p67 @p66 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p35 @p34 @p33 @p29 @p24) :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 false false false true false) (@list @t62 @t65 @t68 @t72 @t77 @t80 @t82 @t86 @t89 @t93 @t96 @t98 @t101 @t104 @t107 @t112 @t115 @t118 @t121 @t124 @t126 @t43 @t129 @t132 @t134 @t136 @t137))) % 1.23/1.45 ) % 1.23/1.45 % SZS output end Proof % 1.23/1.45 % cvc5 exiting %------------------------------------------------------------------------------