%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE147+2 : 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 : n019.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 08:28:24 AM UTC 2026 % Result : Theorem 82.06s 82.33s % Output : Proof 82.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE147+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:20:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 82.06/82.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 82.06/82.33 --- Run --no-e-matching --full-saturate-quant at 6... % 82.06/82.33 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 82.06/82.33 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 82.06/82.33 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 82.06/82.33 --- Run --trigger-sel=max --full-saturate-quant at 15... % 82.06/82.33 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 82.06/82.33 % SZS status Theorem % 82.06/82.33 % SZS output start Proof % 82.06/82.33 ( % 82.06/82.33 (declare-sort $$unsorted 0) % 82.06/82.33 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 82.06/82.33 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 82.06/82.33 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 82.06/82.33 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 82.06/82.33 (declare-const tptp.zero $$unsorted) % 82.06/82.33 (declare-const tptp.one $$unsorted) % 82.06/82.33 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 82.06/82.33 (define @t1 () (@var "A" $$unsorted)) % 82.06/82.33 (define @t2 () (@var "B" $$unsorted)) % 82.06/82.33 (define @t3 () (tptp.addition @t1 @t2)) % 82.06/82.33 (define @t4 () (@list @t1 @t2)) % 82.06/82.33 (define @t5 () (@var "C" $$unsorted)) % 82.06/82.33 (define @t6 () (tptp.addition @t2 @t5)) % 82.06/82.33 (define @t7 () (@list @t1)) % 82.06/82.33 (define @t8 () (tptp.addition @t1 @t1)) % 82.06/82.33 (define @t9 () (forall @t7 (= @t8 @t1))) % 82.06/82.33 (define @t10 () (tptp.multiplication @t1 @t2)) % 82.06/82.33 (define @t11 () (tptp.multiplication @t2 @t5)) % 82.06/82.33 (define @t12 () (@list @t1 @t2 @t5)) % 82.06/82.33 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 82.06/82.33 (define @t14 () (forall @t7 (= @t13 @t1))) % 82.06/82.33 (define @t15 () (tptp.multiplication tptp.one @t1)) % 82.06/82.33 (define @t16 () (forall @t7 (= @t15 @t1))) % 82.06/82.33 (define @t17 () (tptp.multiplication @t1 @t5)) % 82.06/82.33 (define @t18 () (tptp.star @t1)) % 82.06/82.33 (define @t19 () (tptp.addition tptp.one (tptp.multiplication @t1 @t18))) % 82.06/82.33 (define @t20 () (forall @t7 (= @t19 @t18))) % 82.06/82.33 (define @t21 () (tptp.addition tptp.one (tptp.multiplication @t18 @t1))) % 82.06/82.33 (define @t22 () (forall @t7 (= @t21 @t18))) % 82.06/82.33 (define @t23 () (tptp.leq (tptp.multiplication @t18 @t2) @t5)) % 82.06/82.33 (define @t24 () (tptp.addition @t17 @t2)) % 82.06/82.33 (define @t25 () (tptp.leq @t24 @t5)) % 82.06/82.33 (define @t26 () (forall @t12 (=> @t25 @t23))) % 82.06/82.33 (define @t27 () (tptp.strong_iteration @t1)) % 82.06/82.33 (define @t28 () (tptp.leq @t1 @t2)) % 82.06/82.33 (define @t29 () (= @t28 (= @t3 @t2))) % 82.06/82.33 (define @t30 () (forall @t4 @t29)) % 82.06/82.33 (define @t31 () (@var "X1" $$unsorted)) % 82.06/82.33 (define @t32 () (@var "X0" $$unsorted)) % 82.06/82.33 (define @t33 () (tptp.strong_iteration (tptp.multiplication (tptp.star @t32) @t31))) % 82.06/82.33 (define @t34 () (tptp.multiplication (tptp.star @t31) @t33)) % 82.06/82.33 (define @t35 () (tptp.leq @t34 @t33)) % 82.06/82.33 (define @t36 () (tptp.leq @t33 @t34)) % 82.06/82.33 (define @t37 () (@list @t32 @t31)) % 82.06/82.33 (define @t38 () (forall @t37 (and @t36 @t35))) % 82.06/82.33 (define @t39 () (not @t38)) % 82.06/82.33 (define @t40 () (@var "BOUND_VARIABLE_7567" $$unsorted)) % 82.06/82.33 (define @t41 () (@var "BOUND_VARIABLE_7565" $$unsorted)) % 82.06/82.33 (define @t42 () (tptp.strong_iteration (tptp.multiplication (tptp.star @t41) @t40))) % 82.06/82.33 (define @t43 () (forall (@list @t41 @t40) (tptp.leq (tptp.multiplication (tptp.star @t40) @t42) @t42))) % 82.06/82.33 (define @t44 () (@quantifiers_skolemize @t43 0)) % 82.06/82.33 (define @t45 () (@list @t44)) % 82.06/82.33 (define @t46 () (tptp.star @t44)) % 82.06/82.33 (define @t47 () (tptp.multiplication @t46 @t44)) % 82.06/82.33 (define @t48 () (@quantifiers_skolemize @t43 1)) % 82.06/82.33 (define @t49 () (tptp.multiplication @t44 @t46)) % 82.06/82.33 (define @t50 () (tptp.multiplication @t46 @t48)) % 82.06/82.33 (define @t51 () (tptp.strong_iteration @t50)) % 82.06/82.33 (define @t52 () (tptp.multiplication @t50 @t51)) % 82.06/82.33 (define @t53 () (tptp.multiplication @t48 @t51)) % 82.06/82.33 (define @t54 () (tptp.addition @t53 @t51)) % 82.06/82.33 (define @t55 () (@var "BOUND_VARIABLE_7555" $$unsorted)) % 82.06/82.33 (define @t56 () (@var "BOUND_VARIABLE_7553" $$unsorted)) % 82.06/82.33 (define @t57 () (tptp.strong_iteration (tptp.multiplication (tptp.star @t56) @t55))) % 82.06/82.33 (define @t58 () (forall (@list @t56 @t55) (tptp.leq @t57 (tptp.multiplication (tptp.star @t55) @t57)))) % 82.06/82.33 (define @t59 () (@quantifiers_skolemize @t58 1)) % 82.06/82.33 (define @t60 () (tptp.multiplication (tptp.star (@quantifiers_skolemize @t58 0)) @t59)) % 82.06/82.33 (define @t61 () (tptp.strong_iteration @t60)) % 82.06/82.33 (define @t62 () (tptp.star @t59)) % 82.06/82.33 (define @t63 () (tptp.multiplication @t62 @t61)) % 82.06/82.33 (define @t64 () (tptp.multiplication @t59 @t62)) % 82.06/82.33 (define @t65 () (tptp.multiplication @t64 @t61)) % 82.06/82.33 (define @t66 () (tptp.multiplication tptp.one @t61)) % 82.06/82.33 (define @t67 () (tptp.addition @t66 @t65)) % 82.06/82.33 (define @t68 () (@list @t61)) % 82.06/82.33 (define @t69 () (= @t63 (tptp.addition @t61 @t63))) % 82.06/82.33 (define @t70 () (tptp.leq @t61 @t63)) % 82.06/82.33 (define @t71 () (= @t70 @t69)) % 82.06/82.33 (define @t72 () (not @t70)) % 82.06/82.33 (define @t73 () (not @t58)) % 82.06/82.33 (define @t74 () (@list false)) % 82.06/82.33 (define @t75 () (forall @t37 @t35)) % 82.06/82.33 (define @t76 () (@list @t32 @t31)) % 82.06/82.33 (define @t77 () (forall @t37 @t36)) % 82.06/82.33 (define @t78 () (and @t77 @t75)) % 82.06/82.33 (define @t79 () (not @t43)) % 82.06/82.33 (define @t80 () (tptp.leq (tptp.multiplication (tptp.star @t48) @t51) @t51)) % 82.06/82.33 (define @t81 () (not @t80)) % 82.06/82.33 (define @t82 () (tptp.leq @t54 @t51)) % 82.06/82.33 (define @t83 () (not @t82)) % 82.06/82.33 (define @t84 () (or @t83 @t80)) % 82.06/82.33 (define @t85 () (@list true false)) % 82.06/82.33 (define @t86 () (= @t51 (tptp.addition @t54 @t51))) % 82.06/82.33 (define @t87 () (= @t82 @t86)) % 82.06/82.33 (define @t88 () (not @t86)) % 82.06/82.33 (define @t89 () (= @t51 @t54)) % 82.06/82.33 (define @t90 () (tptp.addition @t54 @t54)) % 82.06/82.33 (define @t91 () (= @t54 @t90)) % 82.06/82.33 (define @t92 () (and @t89 @t91)) % 82.06/82.33 (define @t93 () (not @t89)) % 82.06/82.33 (define @t94 () (tptp.addition @t53 @t52)) % 82.06/82.33 (define @t95 () (tptp.addition @t52 tptp.one)) % 82.06/82.33 (define @t96 () (= @t51 @t95)) % 82.06/82.33 (define @t97 () (tptp.addition tptp.one @t52)) % 82.06/82.33 (define @t98 () (= @t95 @t97)) % 82.06/82.33 (define @t99 () (tptp.addition @t94 tptp.one)) % 82.06/82.33 (define @t100 () (tptp.addition @t53 @t95)) % 82.06/82.33 (define @t101 () (= @t100 @t99)) % 82.06/82.33 (define @t102 () (= @t52 @t94)) % 82.06/82.33 (define @t103 () (= @t99 (tptp.addition tptp.one @t94))) % 82.06/82.33 (define @t104 () (tptp.multiplication tptp.one @t48)) % 82.06/82.33 (define @t105 () (tptp.multiplication @t104 @t51)) % 82.06/82.33 (define @t106 () (tptp.addition @t105 @t52)) % 82.06/82.33 (define @t107 () (@list @t104 @t50 @t51)) % 82.06/82.33 (define @t108 () (tptp.addition tptp.one @t47)) % 82.06/82.33 (define @t109 () (tptp.addition tptp.one @t108)) % 82.06/82.33 (define @t110 () (@list @t47 tptp.one tptp.one)) % 82.06/82.33 (define @t111 () (tptp.addition tptp.one @t49)) % 82.06/82.33 (define @t112 () (tptp.multiplication @t111 @t44)) % 82.06/82.33 (define @t113 () (tptp.multiplication @t44 @t47)) % 82.06/82.33 (define @t114 () (tptp.multiplication @t44 tptp.one)) % 82.06/82.33 (define @t115 () (tptp.addition @t114 @t113)) % 82.06/82.33 (define @t116 () (@list tptp.one)) % 82.06/82.33 (define @t117 () (and @t96 @t98 @t101 @t102 @t103)) % 82.06/82.33 (define @t118 () (not @t102)) % 82.06/82.33 (define @t119 () (= @t46 @t111)) % 82.06/82.33 (define @t120 () (= @t46 @t108)) % 82.06/82.33 (define @t121 () (= (tptp.multiplication @t44 @t108) @t115)) % 82.06/82.33 (define @t122 () (= @t44 @t114)) % 82.06/82.33 (define @t123 () (= @t48 @t104)) % 82.06/82.33 (define @t124 () (tptp.multiplication tptp.one @t44)) % 82.06/82.33 (define @t125 () (= @t44 @t124)) % 82.06/82.33 (define @t126 () (tptp.multiplication @t49 @t44)) % 82.06/82.33 (define @t127 () (= @t113 @t126)) % 82.06/82.33 (define @t128 () (= @t112 (tptp.addition @t124 @t126))) % 82.06/82.33 (define @t129 () (tptp.addition @t104 @t50)) % 82.06/82.33 (define @t130 () (= (tptp.multiplication (tptp.addition tptp.one @t46) @t48) @t129)) % 82.06/82.33 (define @t131 () (= (tptp.multiplication @t129 @t51) @t106)) % 82.06/82.33 (define @t132 () (tptp.addition tptp.one tptp.one)) % 82.06/82.33 (define @t133 () (= tptp.one @t132)) % 82.06/82.33 (define @t134 () (= @t109 (tptp.addition @t132 @t47))) % 82.06/82.33 (define @t135 () (and @t119 @t120 @t121 @t122 @t123 @t125 @t127 @t128 @t130 @t131 @t133 @t134)) % 82.06/82.33 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 82.06/82.33 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 82.06/82.33 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 82.06/82.33 (assume @p4 @t9) % 82.06/82.33 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 82.06/82.33 (assume @p6 @t14) % 82.06/82.33 (assume @p7 @t16) % 82.06/82.33 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 82.06/82.33 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 82.06/82.33 (assume @p10 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 82.06/82.33 (assume @p11 @t20) % 82.06/82.33 (assume @p12 @t22) % 82.06/82.33 (assume @p13 @t26) % 82.06/82.33 (assume @p14 (forall @t12 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t18) @t5)))) % 82.06/82.33 (assume @p15 (forall @t7 (= @t27 (tptp.addition (tptp.multiplication @t1 @t27) tptp.one)))) % 82.06/82.33 (assume @p16 (forall @t12 (=> (tptp.leq @t5 @t24) (tptp.leq @t5 (tptp.multiplication @t27 @t2))))) % 82.06/82.33 (assume @p17 (forall @t7 (= @t27 (tptp.addition @t18 (tptp.multiplication @t27 tptp.zero))))) % 82.06/82.33 (assume @p18 @t30) % 82.06/82.33 (assume @p19 @t39) % 82.06/82.33 (assume @p20 true) % 82.06/82.33 (step @p21 :rule eq-symm :args (@t19 @t18)) % 82.06/82.33 (step @p22 :rule cong :premises (@p21) :args (@t20)) % 82.06/82.33 (step @p23 :rule eq_resolve :premises (@p11 @p22)) % 82.06/82.33 (step @p24 :rule instantiate :premises (@p23) :args (@t45)) % 82.06/82.33 (step @p25 :rule eq-symm :args (@t21 @t18)) % 82.06/82.33 (step @p26 :rule cong :premises (@p25) :args (@t22)) % 82.06/82.33 (step @p27 :rule eq_resolve :premises (@p12 @p26)) % 82.06/82.33 (step @p28 :rule instantiate :premises (@p27) :args (@t45)) % 82.06/82.33 (step @p29 :rule instantiate :premises (@p8) :args ((@list @t44 tptp.one @t47))) % 82.06/82.33 (step @p30 :rule eq-symm :args (@t13 @t1)) % 82.06/82.33 (step @p31 :rule cong :premises (@p30) :args (@t14)) % 82.06/82.33 (step @p32 :rule eq_resolve :premises (@p6 @p31)) % 82.06/82.33 (step @p33 :rule instantiate :premises (@p32) :args (@t45)) % 82.06/82.33 (step @p34 :rule eq-symm :args (@t15 @t1)) % 82.06/82.33 (step @p35 :rule cong :premises (@p34) :args (@t16)) % 82.06/82.33 (step @p36 :rule eq_resolve :premises (@p7 @p35)) % 82.06/82.33 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t48))) % 82.06/82.33 (step @p38 :rule instantiate :premises (@p36) :args (@t45)) % 82.06/82.33 (step @p39 :rule instantiate :premises (@p5) :args ((@list @t44 @t46 @t44))) % 82.06/82.33 (step @p40 :rule instantiate :premises (@p9) :args ((@list tptp.one @t49 @t44))) % 82.06/82.33 (step @p41 :rule instantiate :premises (@p9) :args ((@list tptp.one @t46 @t48))) % 82.06/82.33 (step @p42 :rule instantiate :premises (@p15) :args ((@list @t50))) % 82.06/82.33 (step @p43 :rule instantiate :premises (@p1) :args ((@list @t52 tptp.one))) % 82.06/82.33 (step @p44 :rule eq-symm :args (@t3 @t2)) % 82.06/82.33 (step @p45 :rule refl :args (@t28)) % 82.06/82.33 (step @p46 :rule cong :premises (@p45 @p44) :args (@t29)) % 82.06/82.33 (step @p47 :rule cong :premises (@p46) :args (@t30)) % 82.06/82.33 (step @p48 :rule eq_resolve :premises (@p18 @p47)) % 82.06/82.33 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t54 @t51))) % 82.06/82.33 (step @p50 :rule bool-impl-elim :args (@t25 @t23)) % 82.06/82.33 (step @p51 :rule cong :premises (@p50) :args (@t26)) % 82.06/82.33 (step @p52 :rule eq_resolve :premises (@p13 @p51)) % 82.06/82.33 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t48 @t51 @t51))) % 82.06/82.33 (step @p54 :rule instantiate :premises (@p48) :args ((@list @t61 @t63))) % 82.06/82.33 (step @p55 :rule refl :args (@t63)) % 82.06/82.33 (step @p56 :rule instantiate :premises (@p17) :args ((@list @t60))) % 82.06/82.33 (step @p57 :rule symm :premises (@p56)) % 82.06/82.33 (step @p58 :rule cong :premises (@p57 @p55) :args ((tptp.addition (tptp.addition (tptp.star @t60) (tptp.multiplication @t61 tptp.zero)) @t63))) % 82.06/82.33 (step @p59 :rule refl :args (@t61)) % 82.06/82.33 (step @p60 :rule instantiate :premises (@p23) :args ((@list @t59))) % 82.06/82.33 (step @p61 :rule symm :premises (@p60)) % 82.06/82.33 (step @p62 :rule cong :premises (@p61 @p59) :args ((tptp.multiplication (tptp.addition tptp.one @t64) @t61))) % 82.06/82.33 (step @p63 :rule instantiate :premises (@p9) :args ((@list tptp.one @t64 @t61))) % 82.06/82.33 (step @p64 :rule symm :premises (@p63)) % 82.06/82.33 (step @p65 :rule trans :premises (@p64 @p62)) % 82.06/82.33 (step @p66 :rule cong :premises (@p56 @p65) :args ((tptp.addition @t61 @t67))) % 82.06/82.33 (step @p67 :rule instantiate :premises (@p2) :args ((@list @t65 @t66 @t61))) % 82.06/82.33 (step @p68 :rule symm :premises (@p67)) % 82.06/82.33 (step @p69 :rule refl :args (@t65)) % 82.06/82.33 (step @p70 :rule instantiate :premises (@p36) :args (@t68)) % 82.06/82.33 (step @p71 :rule cong :premises (@p59 @p70) :args ((tptp.addition @t61 @t61))) % 82.06/82.33 (step @p72 :rule eq-symm :args (@t8 @t1)) % 82.06/82.33 (step @p73 :rule cong :premises (@p72) :args (@t9)) % 82.06/82.33 (step @p74 :rule eq_resolve :premises (@p4 @p73)) % 82.06/82.33 (step @p75 :rule instantiate :premises (@p74) :args (@t68)) % 82.06/82.33 (step @p76 :rule trans :premises (@p75 @p71)) % 82.06/82.33 (step @p77 :rule symm :premises (@p70)) % 82.06/82.33 (step @p78 :rule trans :premises (@p77 @p76)) % 82.06/82.33 (step @p79 :rule cong :premises (@p78 @p69) :args (@t67)) % 82.06/82.33 (step @p80 :rule symm :premises (@p62)) % 82.06/82.33 (step @p81 :rule trans :premises (@p80 @p63 @p79 @p68 @p66 @p58)) % 82.06/82.33 (step @p82 :rule cnf_equiv_pos2 :args (@t71)) % 82.06/82.33 (step @p83 :rule reordering :premises (@p82) :args ((or @t70 (not @t69) (not @t71)))) % 82.06/82.33 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p54) :args (@t70 (@list false false) (@list @t69 @t71))) % 82.06/82.33 (step @p85 :rule refl :args (@t72)) % 82.06/82.33 (step @p86 :rule bool-double-not-elim :args (@t58)) % 82.06/82.33 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or (not @t73) @t72))) % 82.06/82.33 (assume-push @p241 @t73) % 82.06/82.33 (step @p89 :rule skolemize :premises (@p241)) % 82.06/82.33 (step-pop @p242 :rule scope :premises (@p89)) % 82.06/82.33 (step @p90 :rule process_scope :premises (@p242) :args (@t72)) % 82.06/82.33 (step @p92 :rule implies_elim :premises (@p90)) % 82.06/82.33 (step @p93 :rule eq_resolve :premises (@p92 @p87)) % 82.06/82.33 (step @p94 :rule chain_m_resolution :premises (@p93 @p84) :args (@t58 @t74 (@list @t70))) % 82.06/82.33 (step @p95 :rule alpha_equiv :args (@t75 @t76 (@list @t41 @t40))) % 82.06/82.33 (step @p96 :rule alpha_equiv :args (@t77 @t76 (@list @t56 @t55))) % 82.06/82.33 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t78)) % 82.06/82.33 (step @p98 :rule quant-miniscope-and :args ((= @t38 @t78))) % 82.06/82.33 (step @p99 :rule trans :premises (@p98 @p97)) % 82.06/82.33 (step @p100 :rule cong :premises (@p99) :args (@t39)) % 82.06/82.33 (step @p101 :rule eq_resolve :premises (@p19 @p100)) % 82.06/82.33 (step @p102 :rule not_and :premises (@p101)) % 82.06/82.33 (step @p103 :rule chain_m_resolution :premises (@p102 @p94) :args (@t79 @t74 (@list @t58))) % 82.06/82.33 (step @p104 :rule refl :args (@t81)) % 82.06/82.33 (step @p105 :rule bool-double-not-elim :args (@t43)) % 82.06/82.33 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t79) @t81))) % 82.06/82.33 (assume-push @p243 @t79) % 82.06/82.33 (step @p108 :rule skolemize :premises (@p243)) % 82.06/82.33 (step-pop @p244 :rule scope :premises (@p108)) % 82.06/82.33 (step @p109 :rule process_scope :premises (@p244) :args (@t81)) % 82.06/82.33 (step @p111 :rule implies_elim :premises (@p109)) % 82.06/82.33 (step @p112 :rule eq_resolve :premises (@p111 @p106)) % 82.06/82.33 (step @p113 :rule chain_m_resolution :premises (@p112 @p103) :args (@t81 (@list true) (@list @t43))) % 82.06/82.33 (step @p114 :rule cnf_or_pos :args (@t84)) % 82.06/82.33 (step @p115 :rule reordering :premises (@p114) :args ((or @t80 @t83 (not @t84)))) % 82.06/82.33 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p53) :args (@t83 @t85 (@list @t80 @t84))) % 82.06/82.33 (step @p117 :rule cnf_equiv_pos2 :args (@t87)) % 82.06/82.33 (step @p118 :rule reordering :premises (@p117) :args ((or @t82 @t88 (not @t87)))) % 82.06/82.33 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p49) :args (@t88 @t85 (@list @t82 @t87))) % 82.06/82.33 (step @p120 :rule instantiate :premises (@p74) :args ((@list @t54))) % 82.06/82.33 (assume-push @p245 @t89) % 82.06/82.33 (assume-push @p246 @t91) % 82.06/82.33 (assume-push @p247 @t89) % 82.06/82.33 (assume-push @p248 @t91) % 82.06/82.33 (step @p125 :rule symm :premises (@p245)) % 82.06/82.33 (step @p126 :rule refl :args (@t54)) % 82.06/82.33 (step @p127 :rule cong :premises (@p126 @p125) :args (@t90)) % 82.06/82.33 (step @p128 :rule trans :premises (@p245 @p120 @p127)) % 82.06/82.33 (step-pop @p249 :rule scope :premises (@p128)) % 82.06/82.33 (step-pop @p250 :rule scope :premises (@p249)) % 82.06/82.33 (step @p129 :rule process_scope :premises (@p250) :args (@t86)) % 82.06/82.33 (step @p132 :rule and_intro :premises (@p245 @p120)) % 82.06/82.33 (step @p133 :rule modus_ponens :premises (@p132 @p129)) % 82.06/82.33 (step-pop @p251 :rule scope :premises (@p133)) % 82.06/82.33 (step-pop @p252 :rule scope :premises (@p251)) % 82.06/82.33 (step @p134 :rule process_scope :premises (@p252) :args (@t86)) % 82.06/82.33 (step @p137 :rule implies_elim :premises (@p134)) % 82.06/82.33 (step @p138 :rule cnf_and_neg :args (@t92)) % 82.06/82.33 (step @p139 :rule resolution :premises (@p138 @p137) :args (true @t92)) % 82.06/82.33 (step @p140 :rule reordering :premises (@p139) :args ((or @t86 @t93 (not @t91)))) % 82.06/82.33 (step @p141 :rule chain_m_resolution :premises (@p140 @p120 @p119) :args (@t93 (@list false true) (@list @t91 @t86))) % 82.06/82.33 (step @p142 :rule instantiate :premises (@p2) :args ((@list tptp.one @t52 @t53))) % 82.06/82.33 (step @p143 :rule instantiate :premises (@p1) :args ((@list @t94 tptp.one))) % 82.06/82.33 (assume-push @p253 @t96) % 82.06/82.33 (assume-push @p254 @t98) % 82.06/82.33 (assume-push @p255 @t101) % 82.06/82.33 (assume-push @p256 @t102) % 82.06/82.33 (assume-push @p257 @t103) % 82.06/82.33 (assume-push @p258 @t96) % 82.06/82.33 (assume-push @p259 @t101) % 82.06/82.33 (assume-push @p260 @t103) % 82.06/82.33 (assume-push @p261 @t102) % 82.06/82.33 (assume-push @p262 @t98) % 82.06/82.33 (step @p154 :rule symm :premises (@p42)) % 82.06/82.33 (step @p155 :rule refl :args (@t53)) % 82.06/82.33 (step @p156 :rule cong :premises (@p155 @p154) :args (@t100)) % 82.06/82.33 (step @p157 :rule symm :premises (@p142)) % 82.06/82.33 (step @p158 :rule symm :premises (@p143)) % 82.06/82.33 (step @p159 :rule refl :args (@t52)) % 82.06/82.33 (step @p160 :rule refl :args (@t51)) % 82.06/82.33 (step @p161 :rule symm :premises (@p37)) % 82.06/82.33 (step @p162 :rule cong :premises (@p161 @p160) :args (@t105)) % 82.06/82.33 (step @p163 :rule cong :premises (@p162 @p159) :args (@t106)) % 82.06/82.33 (step @p164 :rule instantiate :premises (@p9) :args (@t107)) % 82.06/82.33 (step @p165 :rule refl :args (@t48)) % 82.06/82.33 (step @p166 :rule symm :premises (@p28)) % 82.06/82.33 (step @p167 :rule refl :args (tptp.one)) % 82.06/82.33 (step @p168 :rule cong :premises (@p167 @p166) :args (@t109)) % 82.06/82.33 (step @p169 :rule instantiate :premises (@p2) :args (@t110)) % 82.06/82.33 (step @p170 :rule symm :premises (@p169)) % 82.06/82.33 (step @p171 :rule refl :args (@t44)) % 82.06/82.33 (step @p172 :rule symm :premises (@p24)) % 82.06/82.33 (step @p173 :rule cong :premises (@p172 @p171) :args (@t112)) % 82.06/82.33 (step @p174 :rule symm :premises (@p40)) % 82.06/82.33 (step @p175 :rule symm :premises (@p33)) % 82.06/82.33 (step @p176 :rule trans :premises (@p175 @p38)) % 82.06/82.33 (step @p177 :rule cong :premises (@p176 @p39) :args (@t115)) % 82.06/82.33 (step @p178 :rule cong :premises (@p171 @p28) :args (@t49)) % 82.06/82.33 (step @p179 :rule trans :premises (@p178 @p29 @p177 @p174 @p173)) % 82.06/82.33 (step @p180 :rule instantiate :premises (@p74) :args (@t116)) % 82.06/82.33 (step @p181 :rule cong :premises (@p180 @p179) :args (@t111)) % 82.06/82.33 (step @p182 :rule trans :premises (@p24 @p181 @p170 @p168)) % 82.06/82.33 (step @p183 :rule cong :premises (@p182 @p165) :args (@t50)) % 82.06/82.33 (step @p184 :rule trans :premises (@p183 @p41)) % 82.06/82.33 (step @p185 :rule cong :premises (@p184 @p160) :args (@t52)) % 82.06/82.33 (step @p186 :rule trans :premises (@p185 @p164 @p163)) % 82.06/82.33 (step @p187 :rule cong :premises (@p167 @p186) :args (@t97)) % 82.06/82.33 (step @p188 :rule trans :premises (@p42 @p43 @p187 @p158 @p157 @p156)) % 82.06/82.33 (step-pop @p263 :rule scope :premises (@p188)) % 82.06/82.33 (step-pop @p264 :rule scope :premises (@p263)) % 82.06/82.33 (step-pop @p265 :rule scope :premises (@p264)) % 82.06/82.33 (step-pop @p266 :rule scope :premises (@p265)) % 82.06/82.33 (step-pop @p267 :rule scope :premises (@p266)) % 82.06/82.33 (step @p189 :rule process_scope :premises (@p267) :args (@t89)) % 82.06/82.33 (step @p159 :rule refl :args (@t52)) % 82.06/82.33 (step @p160 :rule refl :args (@t51)) % 82.06/82.33 (step @p161 :rule symm :premises (@p37)) % 82.06/82.33 (step @p162 :rule cong :premises (@p161 @p160) :args (@t105)) % 82.06/82.33 (step @p163 :rule cong :premises (@p162 @p159) :args (@t106)) % 82.06/82.33 (step @p164 :rule instantiate :premises (@p9) :args (@t107)) % 82.06/82.33 (step @p165 :rule refl :args (@t48)) % 82.06/82.33 (step @p166 :rule symm :premises (@p28)) % 82.06/82.33 (step @p167 :rule refl :args (tptp.one)) % 82.06/82.33 (step @p168 :rule cong :premises (@p167 @p166) :args (@t109)) % 82.06/82.33 (step @p169 :rule instantiate :premises (@p2) :args (@t110)) % 82.06/82.33 (step @p170 :rule symm :premises (@p169)) % 82.06/82.33 (step @p171 :rule refl :args (@t44)) % 82.06/82.33 (step @p172 :rule symm :premises (@p24)) % 82.06/82.33 (step @p173 :rule cong :premises (@p172 @p171) :args (@t112)) % 82.06/82.33 (step @p174 :rule symm :premises (@p40)) % 82.06/82.33 (step @p175 :rule symm :premises (@p33)) % 82.06/82.33 (step @p176 :rule trans :premises (@p175 @p38)) % 82.06/82.33 (step @p177 :rule cong :premises (@p176 @p39) :args (@t115)) % 82.06/82.33 (step @p178 :rule cong :premises (@p171 @p28) :args (@t49)) % 82.06/82.33 (step @p179 :rule trans :premises (@p178 @p29 @p177 @p174 @p173)) % 82.06/82.33 (step @p180 :rule instantiate :premises (@p74) :args (@t116)) % 82.06/82.33 (step @p181 :rule cong :premises (@p180 @p179) :args (@t111)) % 82.06/82.33 (step @p182 :rule trans :premises (@p24 @p181 @p170 @p168)) % 82.06/82.33 (step @p183 :rule cong :premises (@p182 @p165) :args (@t50)) % 82.06/82.33 (step @p184 :rule trans :premises (@p183 @p41)) % 82.06/82.33 (step @p185 :rule cong :premises (@p184 @p160) :args (@t52)) % 82.06/82.33 (step @p195 :rule trans :premises (@p185 @p164 @p163)) % 82.06/82.33 (step @p196 :rule and_intro :premises (@p42 @p142 @p143 @p195 @p43)) % 82.06/82.33 (step @p197 :rule modus_ponens :premises (@p196 @p189)) % 82.06/82.33 (step-pop @p268 :rule scope :premises (@p197)) % 82.06/82.33 (step-pop @p269 :rule scope :premises (@p268)) % 82.06/82.33 (step-pop @p270 :rule scope :premises (@p269)) % 82.06/82.33 (step-pop @p271 :rule scope :premises (@p270)) % 82.06/82.33 (step-pop @p272 :rule scope :premises (@p271)) % 82.06/82.33 (step @p198 :rule process_scope :premises (@p272) :args (@t89)) % 82.06/82.33 (step @p204 :rule implies_elim :premises (@p198)) % 82.06/82.33 (step @p205 :rule cnf_and_neg :args (@t117)) % 82.06/82.33 (step @p206 :rule resolution :premises (@p205 @p204) :args (true @t117)) % 82.06/82.33 (step @p207 :rule reordering :premises (@p206) :args ((or (not @t96) @t89 (not @t98) (not @t101) @t118 (not @t103)))) % 82.06/82.33 (step @p208 :rule chain_m_resolution :premises (@p207 @p143 @p142 @p141 @p43 @p42) :args (@t118 (@list false false true false false) (@list @t103 @t101 @t89 @t98 @t96))) % 82.06/82.33 (step @p209 :rule instantiate :premises (@p9) :args (@t107)) % 82.06/82.33 (step @p180 :rule instantiate :premises (@p74) :args (@t116)) % 82.06/82.33 (step @p169 :rule instantiate :premises (@p2) :args (@t110)) % 82.06/82.33 (assume-push @p273 @t119) % 82.06/82.33 (assume-push @p274 @t120) % 82.06/82.33 (assume-push @p275 @t121) % 82.06/82.33 (assume-push @p276 @t122) % 82.06/82.34 (assume-push @p277 @t123) % 82.06/82.34 (assume-push @p278 @t125) % 82.06/82.34 (assume-push @p279 @t127) % 82.06/82.34 (assume-push @p280 @t128) % 82.06/82.34 (assume-push @p281 @t130) % 82.06/82.34 (assume-push @p282 @t131) % 82.06/82.34 (assume-push @p283 @t133) % 82.06/82.34 (assume-push @p284 @t134) % 82.06/82.34 (step @p159 :rule refl :args (@t52)) % 82.06/82.34 (step @p160 :rule refl :args (@t51)) % 82.06/82.34 (step @p161 :rule symm :premises (@p37)) % 82.06/82.34 (step @p162 :rule cong :premises (@p161 @p160) :args (@t105)) % 82.06/82.34 (step @p163 :rule cong :premises (@p162 @p159) :args (@t106)) % 82.06/82.34 (step @p165 :rule refl :args (@t48)) % 82.06/82.34 (step @p166 :rule symm :premises (@p28)) % 82.06/82.34 (step @p167 :rule refl :args (tptp.one)) % 82.06/82.34 (step @p168 :rule cong :premises (@p167 @p166) :args (@t109)) % 82.06/82.34 (step @p170 :rule symm :premises (@p169)) % 82.06/82.34 (step @p171 :rule refl :args (@t44)) % 82.06/82.34 (step @p172 :rule symm :premises (@p24)) % 82.06/82.34 (step @p173 :rule cong :premises (@p172 @p171) :args (@t112)) % 82.06/82.34 (step @p174 :rule symm :premises (@p40)) % 82.06/82.34 (step @p175 :rule symm :premises (@p33)) % 82.06/82.34 (step @p176 :rule trans :premises (@p175 @p38)) % 82.06/82.34 (step @p177 :rule cong :premises (@p176 @p39) :args (@t115)) % 82.06/82.34 (step @p178 :rule cong :premises (@p171 @p28) :args (@t49)) % 82.06/82.34 (step @p179 :rule trans :premises (@p178 @p29 @p177 @p174 @p173)) % 82.06/82.34 (step @p181 :rule cong :premises (@p180 @p179) :args (@t111)) % 82.06/82.34 (step @p182 :rule trans :premises (@p24 @p181 @p170 @p168)) % 82.06/82.34 (step @p183 :rule cong :premises (@p182 @p165) :args (@t50)) % 82.06/82.34 (step @p184 :rule trans :premises (@p183 @p41)) % 82.06/82.34 (step @p185 :rule cong :premises (@p184 @p160) :args (@t52)) % 82.06/82.34 (step @p222 :rule trans :premises (@p185 @p209 @p163)) % 82.06/82.34 (step-pop @p285 :rule scope :premises (@p222)) % 82.06/82.34 (step-pop @p286 :rule scope :premises (@p285)) % 82.06/82.34 (step-pop @p287 :rule scope :premises (@p286)) % 82.06/82.34 (step-pop @p288 :rule scope :premises (@p287)) % 82.06/82.34 (step-pop @p289 :rule scope :premises (@p288)) % 82.06/82.34 (step-pop @p290 :rule scope :premises (@p289)) % 82.06/82.34 (step-pop @p291 :rule scope :premises (@p290)) % 82.06/82.34 (step-pop @p292 :rule scope :premises (@p291)) % 82.06/82.34 (step-pop @p293 :rule scope :premises (@p292)) % 82.06/82.34 (step-pop @p294 :rule scope :premises (@p293)) % 82.06/82.34 (step-pop @p295 :rule scope :premises (@p294)) % 82.06/82.34 (step-pop @p296 :rule scope :premises (@p295)) % 82.06/82.34 (step @p223 :rule process_scope :premises (@p296) :args (@t102)) % 82.06/82.34 (step @p236 :rule implies_elim :premises (@p223)) % 82.06/82.34 (step @p237 :rule cnf_and_neg :args (@t135)) % 82.06/82.34 (step @p238 :rule resolution :premises (@p237 @p236) :args (true @t135)) % 82.06/82.34 (step @p239 :rule reordering :premises (@p238) :args ((or (not @t119) (not @t120) (not @t121) (not @t122) (not @t123) (not @t125) @t102 (not @t127) (not @t128) (not @t130) (not @t131) (not @t133) (not @t134)))) % 82.06/82.34 (step @p240 false :rule chain_m_resolution :premises (@p239 @p169 @p180 @p209 @p208 @p41 @p40 @p39 @p38 @p37 @p33 @p29 @p28 @p24) :args (false (@list false false false true false false false false false false false false false) (@list @t134 @t133 @t131 @t102 @t130 @t128 @t127 @t125 @t123 @t122 @t121 @t120 @t119))) % 82.06/82.34 ) % 82.06/82.34 % SZS output end Proof % 82.06/82.34 % cvc5 exiting %------------------------------------------------------------------------------