%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL144-1 : TPTP v9.3.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 11:22:15 AM UTC 2026 % Result : Unsatisfiable 31.96s 33.22s % Output : Proof 31.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL144-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n015.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 03:34:12 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.09/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.18/15.78 --- Run --no-e-matching --full-saturate-quant at 6... % 21.20/22.13 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.22/28.47 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 31.96/33.22 % SZS status Unsatisfiable % 31.96/33.22 % SZS output start Proof % 31.96/33.24 ( % 31.96/33.24 (declare-sort $$unsorted 0) % 31.96/33.24 (declare-const tptp.y $$unsorted) % 31.96/33.24 (declare-const tptp.x $$unsorted) % 31.96/33.24 (declare-const tptp.z $$unsorted) % 31.96/33.24 (declare-const tptp.ordered (-> $$unsorted $$unsorted Bool)) % 31.96/33.24 (declare-const tptp.big_hat (-> $$unsorted $$unsorted $$unsorted)) % 31.96/33.24 (declare-const tptp.big_V (-> $$unsorted $$unsorted $$unsorted)) % 31.96/33.24 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 31.96/33.24 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 31.96/33.24 (declare-const tptp.truth $$unsorted) % 31.96/33.24 (define @t1 () (@var "X" $$unsorted)) % 31.96/33.24 (define @t2 () (tptp.implies tptp.truth @t1)) % 31.96/33.24 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 31.96/33.24 (define @t4 () (@var "Z" $$unsorted)) % 31.96/33.24 (define @t5 () (@var "Y" $$unsorted)) % 31.96/33.24 (define @t6 () (tptp.implies @t1 @t5)) % 31.96/33.24 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 31.96/33.24 (define @t8 () (forall (@list @t1 @t5 @t4) (= @t7 tptp.truth))) % 31.96/33.24 (define @t9 () (tptp.implies @t5 @t1)) % 31.96/33.24 (define @t10 () (tptp.implies @t6 @t5)) % 31.96/33.24 (define @t11 () (@list @t1 @t5)) % 31.96/33.24 (define @t12 () (tptp.not @t5)) % 31.96/33.24 (define @t13 () (tptp.not @t1)) % 31.96/33.24 (define @t14 () (= @t6 tptp.truth)) % 31.96/33.24 (define @t15 () (tptp.ordered @t1 @t5)) % 31.96/33.24 (define @t16 () (not @t15)) % 31.96/33.24 (define @t17 () (or @t16 @t14)) % 31.96/33.24 (define @t18 () (forall @t11 @t17)) % 31.96/33.24 (define @t19 () (not @t14)) % 31.96/33.24 (define @t20 () (or @t19 @t15)) % 31.96/33.24 (define @t21 () (forall @t11 @t20)) % 31.96/33.24 (define @t22 () (tptp.implies tptp.x tptp.z)) % 31.96/33.24 (define @t23 () (tptp.ordered tptp.y @t22)) % 31.96/33.24 (define @t24 () (tptp.implies tptp.y tptp.z)) % 31.96/33.24 (define @t25 () (tptp.ordered tptp.x @t24)) % 31.96/33.24 (define @t26 () (not @t23)) % 31.96/33.24 (define @t27 () (not @t25)) % 31.96/33.24 (define @t28 () (tptp.implies tptp.y tptp.y)) % 31.96/33.24 (define @t29 () (tptp.implies tptp.x tptp.y)) % 31.96/33.24 (define @t30 () (tptp.implies @t28 tptp.y)) % 31.96/33.24 (define @t31 () (tptp.implies @t30 @t29)) % 31.96/33.24 (define @t32 () (tptp.implies @t30 @t30)) % 31.96/33.24 (define @t33 () (tptp.implies @t28 @t28)) % 31.96/33.24 (define @t34 () (tptp.implies (tptp.implies @t33 @t32) (tptp.implies @t28 @t32))) % 31.96/33.24 (define @t35 () (tptp.implies @t28 @t33)) % 31.96/33.24 (define @t36 () (tptp.implies (tptp.implies @t34 @t28) (tptp.implies @t35 @t28))) % 31.96/33.24 (define @t37 () (tptp.implies @t24 @t24)) % 31.96/33.24 (define @t38 () (tptp.implies @t35 @t34)) % 31.96/33.24 (define @t39 () (tptp.implies @t28 tptp.x)) % 31.96/33.24 (define @t40 () (tptp.implies (tptp.implies @t37 tptp.x) @t39)) % 31.96/33.24 (define @t41 () (tptp.implies tptp.truth tptp.y)) % 31.96/33.24 (define @t42 () (tptp.implies @t41 @t29)) % 31.96/33.24 (define @t43 () (tptp.implies tptp.x tptp.x)) % 31.96/33.24 (define @t44 () (tptp.implies tptp.z tptp.x)) % 31.96/33.24 (define @t45 () (@list tptp.x @t24)) % 31.96/33.24 (define @t46 () (tptp.implies tptp.x @t24)) % 31.96/33.24 (define @t47 () (= tptp.truth @t46)) % 31.96/33.24 (define @t48 () (or @t27 @t47)) % 31.96/33.24 (define @t49 () (tptp.implies tptp.truth tptp.z)) % 31.96/33.24 (define @t50 () (tptp.implies tptp.x @t49)) % 31.96/33.24 (define @t51 () (tptp.ordered @t41 @t50)) % 31.96/33.24 (define @t52 () (not @t51)) % 31.96/33.24 (define @t53 () (= tptp.z @t49)) % 31.96/33.24 (define @t54 () (not @t53)) % 31.96/33.24 (define @t55 () (= tptp.y @t41)) % 31.96/33.24 (define @t56 () (not @t55)) % 31.96/33.24 (define @t57 () (and @t26 @t55 @t53)) % 31.96/33.24 (define @t58 () (tptp.implies @t24 @t49)) % 31.96/33.24 (define @t59 () (tptp.implies @t58 @t50)) % 31.96/33.24 (define @t60 () (tptp.implies @t41 @t50)) % 31.96/33.24 (define @t61 () (tptp.implies @t59 @t60)) % 31.96/33.24 (define @t62 () (tptp.implies @t41 @t58)) % 31.96/33.24 (define @t63 () (= tptp.truth @t62)) % 31.96/33.24 (define @t64 () (= tptp.truth (tptp.implies @t46 @t59))) % 31.96/33.24 (define @t65 () (tptp.implies tptp.truth @t59)) % 31.96/33.24 (define @t66 () (= @t59 @t65)) % 31.96/33.24 (define @t67 () (tptp.implies @t62 @t61)) % 31.96/33.24 (define @t68 () (= tptp.truth @t67)) % 31.96/33.24 (define @t69 () (= @t61 (tptp.implies tptp.truth @t61))) % 31.96/33.24 (define @t70 () (= @t60 (tptp.implies tptp.truth @t60))) % 31.96/33.24 (define @t71 () (= tptp.truth @t60)) % 31.96/33.24 (define @t72 () (and @t63 @t47 @t64 @t66 @t68 @t69 @t70)) % 31.96/33.24 (define @t73 () (not @t71)) % 31.96/33.24 (define @t74 () (or @t73 @t51)) % 31.96/33.24 (define @t75 () (= tptp.truth (tptp.implies tptp.y @t22))) % 31.96/33.24 (define @t76 () (or @t26 @t75)) % 31.96/33.24 (define @t77 () (tptp.implies @t44 tptp.x)) % 31.96/33.24 (define @t78 () (tptp.implies @t43 tptp.x)) % 31.96/33.24 (define @t79 () (tptp.implies @t78 @t77)) % 31.96/33.24 (define @t80 () (tptp.implies @t30 tptp.z)) % 31.96/33.24 (define @t81 () (tptp.implies @t78 @t80)) % 31.96/33.24 (define @t82 () (tptp.implies (tptp.implies @t77 @t80) @t81)) % 31.96/33.24 (define @t83 () (not @t47)) % 31.96/33.24 (define @t84 () (or @t83 @t25)) % 31.96/33.24 (define @t85 () (tptp.implies @t41 tptp.z)) % 31.96/33.24 (define @t86 () (tptp.implies @t50 tptp.z)) % 31.96/33.24 (define @t87 () (tptp.implies @t86 @t85)) % 31.96/33.24 (define @t88 () (tptp.implies @t60 @t81)) % 31.96/33.24 (define @t89 () (tptp.implies @t87 @t81)) % 31.96/33.24 (define @t90 () (tptp.implies @t89 @t88)) % 31.96/33.24 (define @t91 () (tptp.implies @t60 @t87)) % 31.96/33.24 (define @t92 () (tptp.implies @t91 @t90)) % 31.96/33.24 (define @t93 () (= tptp.truth @t92)) % 31.96/33.24 (define @t94 () (not @t93)) % 31.96/33.24 (define @t95 () (= tptp.truth @t91)) % 31.96/33.24 (define @t96 () (not @t95)) % 31.96/33.24 (define @t97 () (= @t81 (tptp.implies tptp.truth @t81))) % 31.96/33.24 (define @t98 () (not @t97)) % 31.96/33.24 (define @t99 () (tptp.implies tptp.truth @t82)) % 31.96/33.24 (define @t100 () (= @t82 @t99)) % 31.96/33.24 (define @t101 () (not @t100)) % 31.96/33.24 (define @t102 () (= tptp.truth (tptp.implies @t79 @t82))) % 31.96/33.24 (define @t103 () (not @t102)) % 31.96/33.24 (define @t104 () (= @t79 (tptp.implies tptp.truth @t79))) % 31.96/33.24 (define @t105 () (not @t104)) % 31.96/33.24 (define @t106 () (not @t75)) % 31.96/33.24 (define @t107 () (= tptp.truth (tptp.implies @t44 (tptp.implies @t22 (tptp.implies tptp.z tptp.z))))) % 31.96/33.24 (define @t108 () (not @t107)) % 31.96/33.24 (define @t109 () (tptp.implies @t44 @t43)) % 31.96/33.24 (define @t110 () (tptp.implies @t109 @t79)) % 31.96/33.24 (define @t111 () (= tptp.truth @t110)) % 31.96/33.24 (define @t112 () (not @t111)) % 31.96/33.24 (define @t113 () (tptp.implies tptp.x @t42)) % 31.96/33.24 (define @t114 () (tptp.implies tptp.z @t42)) % 31.96/33.24 (define @t115 () (tptp.implies @t114 @t113)) % 31.96/33.24 (define @t116 () (tptp.implies @t22 @t115)) % 31.96/33.24 (define @t117 () (= tptp.truth @t116)) % 31.96/33.24 (define @t118 () (not @t117)) % 31.96/33.24 (define @t119 () (tptp.implies @t39 @t37)) % 31.96/33.24 (define @t120 () (tptp.implies @t119 @t37)) % 31.96/33.24 (define @t121 () (tptp.implies @t37 @t39)) % 31.96/33.24 (define @t122 () (tptp.implies @t121 @t39)) % 31.96/33.24 (define @t123 () (= @t122 @t120)) % 31.96/33.24 (define @t124 () (not @t123)) % 31.96/33.24 (define @t125 () (tptp.implies tptp.truth @t40)) % 31.96/33.24 (define @t126 () (= @t40 @t125)) % 31.96/33.24 (define @t127 () (not @t126)) % 31.96/33.24 (define @t128 () (= @t37 (tptp.implies tptp.truth @t37))) % 31.96/33.24 (define @t129 () (not @t128)) % 31.96/33.24 (define @t130 () (tptp.implies @t38 @t36)) % 31.96/33.24 (define @t131 () (= tptp.truth (tptp.implies @t130 (tptp.implies (tptp.implies @t36 tptp.y) (tptp.implies @t38 tptp.y))))) % 31.96/33.24 (define @t132 () (not @t131)) % 31.96/33.24 (define @t133 () (tptp.implies @t28 @t37)) % 31.96/33.24 (define @t134 () (= tptp.truth (tptp.implies @t133 @t40))) % 31.96/33.24 (define @t135 () (not @t134)) % 31.96/33.24 (define @t136 () (tptp.implies tptp.truth @t36)) % 31.96/33.24 (define @t137 () (= @t36 @t136)) % 31.96/33.24 (define @t138 () (not @t137)) % 31.96/33.24 (define @t139 () (= @t77 (tptp.implies @t22 tptp.z))) % 31.96/33.24 (define @t140 () (not @t139)) % 31.96/33.24 (define @t141 () (= tptp.truth @t130)) % 31.96/33.24 (define @t142 () (not @t141)) % 31.96/33.24 (define @t143 () (tptp.implies tptp.truth tptp.x)) % 31.96/33.24 (define @t144 () (= tptp.x @t143)) % 31.96/33.24 (define @t145 () (not @t144)) % 31.96/33.24 (define @t146 () (= tptp.truth @t133)) % 31.96/33.24 (define @t147 () (not @t146)) % 31.96/33.24 (define @t148 () (= tptp.truth @t38)) % 31.96/33.24 (define @t149 () (not @t148)) % 31.96/33.24 (define @t150 () (tptp.implies @t28 tptp.z)) % 31.96/33.24 (define @t151 () (tptp.implies @t150 tptp.z)) % 31.96/33.24 (define @t152 () (= @t151 (tptp.implies (tptp.implies tptp.z @t28) @t28))) % 31.96/33.24 (define @t153 () (not @t152)) % 31.96/33.24 (define @t154 () (tptp.implies tptp.x @t28)) % 31.96/33.24 (define @t155 () (= tptp.truth (tptp.implies @t39 (tptp.implies @t154 @t33)))) % 31.96/33.24 (define @t156 () (not @t155)) % 31.96/33.24 (define @t157 () (tptp.implies tptp.truth @t31)) % 31.96/33.24 (define @t158 () (= @t31 @t157)) % 31.96/33.24 (define @t159 () (not @t158)) % 31.96/33.24 (define @t160 () (tptp.implies tptp.truth @t28)) % 31.96/33.24 (define @t161 () (= @t28 @t160)) % 31.96/33.24 (define @t162 () (not @t161)) % 31.96/33.24 (define @t163 () (= tptp.truth (tptp.implies @t154 @t31))) % 31.96/33.24 (define @t164 () (not @t163)) % 31.96/33.24 (define @t165 () (and @t94 @t93)) % 31.96/33.24 (assume @p1 @t3) % 31.96/33.24 (assume @p2 @t8) % 31.96/33.24 (assume @p3 (forall @t11 (= @t10 (tptp.implies @t9 @t1)))) % 31.96/33.24 (assume @p4 (forall @t11 (= (tptp.implies (tptp.implies @t13 @t12) @t9) tptp.truth))) % 31.96/33.24 (assume @p5 (forall @t11 (= (tptp.big_V @t1 @t5) @t10))) % 31.96/33.24 (assume @p6 (forall @t11 (= (tptp.big_hat @t1 @t5) (tptp.not (tptp.big_V @t13 @t12))))) % 31.96/33.24 (assume @p7 @t18) % 31.96/33.24 (assume @p8 @t21) % 31.96/33.24 (assume @p9 (or @t25 @t23)) % 31.96/33.24 (assume @p10 (or @t27 @t26)) % 31.96/33.24 (step @p11 :rule eq-symm :args (@t2 @t1)) % 31.96/33.24 (step @p12 :rule cong :premises (@p11) :args (@t3)) % 31.96/33.24 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 31.96/33.24 (step @p14 :rule instantiate :premises (@p13) :args ((@list tptp.y))) % 31.96/33.24 (step @p15 :rule eq-symm :args (@t7 tptp.truth)) % 31.96/33.24 (step @p16 :rule cong :premises (@p15) :args (@t8)) % 31.96/33.24 (step @p17 :rule eq_resolve :premises (@p2 @p16)) % 31.96/33.24 (step @p18 :rule instantiate :premises (@p17) :args ((@list tptp.x @t28 tptp.y))) % 31.96/33.24 (step @p19 :rule instantiate :premises (@p13) :args ((@list @t28))) % 31.96/33.24 (step @p20 :rule instantiate :premises (@p13) :args ((@list @t31))) % 31.96/33.24 (step @p21 :rule instantiate :premises (@p17) :args ((@list @t28 tptp.x @t28))) % 31.96/33.24 (step @p22 :rule instantiate :premises (@p3) :args ((@list @t28 tptp.z))) % 31.96/33.24 (step @p23 :rule instantiate :premises (@p17) :args ((@list @t28 @t33 @t32))) % 31.96/33.24 (step @p24 :rule instantiate :premises (@p17) :args ((@list tptp.y tptp.y tptp.z))) % 31.96/33.24 (step @p25 :rule instantiate :premises (@p13) :args ((@list tptp.z))) % 31.96/33.24 (step @p26 :rule instantiate :premises (@p13) :args ((@list tptp.x))) % 31.96/33.24 (step @p27 :rule instantiate :premises (@p17) :args ((@list @t35 @t34 @t28))) % 31.96/33.24 (step @p28 :rule instantiate :premises (@p3) :args ((@list tptp.z tptp.x))) % 31.96/33.24 (step @p29 :rule instantiate :premises (@p13) :args ((@list @t36))) % 31.96/33.24 (step @p30 :rule instantiate :premises (@p17) :args ((@list @t28 @t37 tptp.x))) % 31.96/33.24 (step @p31 :rule instantiate :premises (@p17) :args ((@list @t38 @t36 tptp.y))) % 31.96/33.24 (step @p32 :rule instantiate :premises (@p13) :args ((@list @t37))) % 31.96/33.24 (step @p33 :rule instantiate :premises (@p13) :args ((@list @t40))) % 31.96/33.24 (step @p34 :rule instantiate :premises (@p3) :args ((@list @t37 @t39))) % 31.96/33.24 (step @p35 :rule instantiate :premises (@p17) :args ((@list tptp.x tptp.z @t42))) % 31.96/33.24 (step @p36 :rule instantiate :premises (@p17) :args ((@list @t44 @t43 tptp.x))) % 31.96/33.24 (step @p37 :rule instantiate :premises (@p17) :args ((@list tptp.z tptp.x tptp.z))) % 31.96/33.24 (step @p38 :rule eq-symm :args (@t6 tptp.truth)) % 31.96/33.24 (step @p39 :rule refl :args (@t16)) % 31.96/33.24 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t17)) % 31.96/33.24 (step @p41 :rule cong :premises (@p40) :args (@t18)) % 31.96/33.24 (step @p42 :rule eq_resolve :premises (@p7 @p41)) % 31.96/33.24 (step @p43 :rule instantiate :premises (@p42) :args ((@list tptp.y @t22))) % 31.96/33.24 (step @p44 :rule instantiate :premises (@p42) :args (@t45)) % 31.96/33.24 (step @p45 :rule cnf_or_pos :args (@t48)) % 31.96/33.24 (step @p46 :rule reordering :premises (@p45) :args ((or @t27 @t47 (not @t48)))) % 31.96/33.24 (step @p47 :rule refl :args (@t52)) % 31.96/33.24 (step @p48 :rule refl :args (@t54)) % 31.96/33.24 (step @p49 :rule refl :args (@t56)) % 31.96/33.24 (step @p50 :rule bool-double-not-elim :args (@t23)) % 31.96/33.24 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48 @p47) :args ((or (not @t26) @t56 @t54 @t52))) % 31.96/33.24 (assume-push @p442 @t26) % 31.96/33.24 (assume-push @p443 @t55) % 31.96/33.24 (assume-push @p444 @t53) % 31.96/33.24 (assume-push @p445 @t26) % 31.96/33.24 (assume-push @p446 @t55) % 31.96/33.24 (assume-push @p447 @t53) % 31.96/33.24 (step @p58 :rule false_intro :premises (@p442)) % 31.96/33.24 (step @p59 :rule symm :premises (@p25)) % 31.96/33.24 (step @p60 :rule refl :args (tptp.x)) % 31.96/33.24 (step @p61 :rule cong :premises (@p60 @p59) :args (@t50)) % 31.96/33.24 (step @p62 :rule symm :premises (@p14)) % 31.96/33.24 (step @p63 :rule cong :premises (@p62 @p61) :args (@t51)) % 31.96/33.24 (step @p64 :rule trans :premises (@p63 @p58)) % 31.96/33.24 (step @p65 :rule false_elim :premises (@p64)) % 31.96/33.24 (step-pop @p448 :rule scope :premises (@p65)) % 31.96/33.24 (step-pop @p449 :rule scope :premises (@p448)) % 31.96/33.24 (step-pop @p450 :rule scope :premises (@p449)) % 31.96/33.24 (step @p66 :rule process_scope :premises (@p450) :args (@t52)) % 31.96/33.24 (step @p70 :rule and_intro :premises (@p442 @p14 @p25)) % 31.96/33.24 (step @p71 :rule modus_ponens :premises (@p70 @p66)) % 31.96/33.24 (step-pop @p451 :rule scope :premises (@p71)) % 31.96/33.24 (step-pop @p452 :rule scope :premises (@p451)) % 31.96/33.24 (step-pop @p453 :rule scope :premises (@p452)) % 31.96/33.24 (step 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@p297) :args (@t88)) % 31.96/33.24 (step @p302 :rule trans :premises (@p301 @p296)) % 31.96/33.24 (step @p303 :rule symm :premises (@p147)) % 31.96/33.24 (step @p304 :rule refl :args (@t82)) % 31.96/33.24 (step @p305 :rule symm :premises (@p146)) % 31.96/33.24 (step @p306 :rule refl :args (@t79)) % 31.96/33.24 (step @p307 :rule symm :premises (@p37)) % 31.96/33.24 (step @p308 :rule cong :premises (@p267 @p253) :args (@t150)) % 31.96/33.24 (step @p309 :rule trans :premises (@p308 @p59)) % 31.96/33.24 (step @p310 :rule cong :premises (@p309 @p253) :args (@t151)) % 31.96/33.24 (step @p311 :rule symm :premises (@p22)) % 31.96/33.24 (step @p312 :rule symm :premises (@p19)) % 31.96/33.24 (step @p313 :rule symm :premises (@p266)) % 31.96/33.24 (step @p314 :rule symm :premises (@p21)) % 31.96/33.24 (step @p315 :rule symm :premises (@p27)) % 31.96/33.24 (step @p316 :rule symm :premises (@p261)) % 31.96/33.24 (step @p317 :rule trans :premises (@p29 @p316 @p315 @p31 @p313 @p312)) % 31.96/33.24 (step @p318 :rule symm :premises (@p267)) % 31.96/33.24 (step @p319 :rule cong :premises (@p318 @p317) :args (@t136)) % 31.96/33.24 (step @p320 :rule symm :premises (@p24)) % 31.96/33.24 (step @p321 :rule symm :premises (@p286)) % 31.96/33.24 (step @p322 :rule trans :premises (@p32 @p321 @p320 @p27 @p261 @p319)) % 31.96/33.24 (step @p323 :rule trans :premises (@p32 @p321 @p320 @p31 @p313 @p312)) % 31.96/33.24 (step @p324 :rule cong :premises (@p279 @p323) :args (@t119)) % 31.96/33.24 (step @p325 :rule cong :premises (@p324 @p322) :args (@t120)) % 31.96/33.24 (step @p326 :rule symm :premises (@p282)) % 31.96/33.24 (step @p327 :rule symm :premises (@p33)) % 31.96/33.24 (step @p328 :rule symm :premises (@p276)) % 31.96/33.24 (step @p329 :rule trans :premises (@p19 @p266 @p254 @p30 @p328 @p327 @p326 @p34 @p325)) % 31.96/33.24 (step @p330 :rule cong :premises (@p283 @p329) :args (@t154)) % 31.96/33.24 (step @p331 :rule symm :premises (@p18)) % 31.96/33.24 (step @p332 :rule refl :args (@t31)) % 31.96/33.24 (step @p333 :rule symm :premises (@p324)) % 31.96/33.24 (step @p334 :rule symm :premises (@p330)) % 31.96/33.24 (step @p335 :rule trans :premises (@p21 @p334 @p333)) % 31.96/33.24 (step @p336 :rule trans :premises (@p335 @p324)) % 31.96/33.24 (step @p337 :rule cong :premises (@p336 @p332) :args (@t157)) % 31.96/33.24 (step @p338 :rule refl :args (@t29)) % 31.96/33.24 (step @p339 :rule symm :premises (@p271)) % 31.96/33.24 (step @p340 :rule trans :premises (@p62 @p339)) % 31.96/33.24 (step @p341 :rule cong :premises (@p340 @p338) :args (@t42)) % 31.96/33.24 (step @p342 :rule trans :premises (@p341 @p20 @p337 @p331 @p31 @p313 @p312)) % 31.96/33.24 (step @p343 :rule cong :premises (@p60 @p342) :args (@t113)) % 31.96/33.24 (step @p344 :rule trans :premises (@p343 @p330 @p314 @p31 @p313 @p312)) % 31.96/33.24 (step @p345 :rule cong :premises (@p253 @p342) :args (@t114)) % 31.96/33.24 (step @p346 :rule cong :premises (@p345 @p344) :args (@t115)) % 31.96/33.24 (step @p347 :rule trans :premises (@p346 @p311 @p310)) % 31.96/33.24 (step @p348 :rule refl :args (@t22)) % 31.96/33.24 (step @p349 :rule cong :premises (@p348 @p347) :args (@t116)) % 31.96/33.24 (step @p350 :rule trans :premises (@p291 @p282 @p33 @p276 @p274 @p35 @p349)) % 31.96/33.24 (step @p351 :rule refl :args (@t44)) % 31.96/33.24 (step @p352 :rule cong :premises (@p351 @p350) :args (@t109)) % 31.96/33.24 (step @p353 :rule trans :premises (@p352 @p307)) % 31.96/33.24 (step @p354 :rule cong :premises (@p353 @p306) :args (@t110)) % 31.96/33.24 (step @p355 :rule trans :premises (@p36 @p354 @p305)) % 31.96/33.24 (step @p356 :rule cong :premises (@p355 @p304) :args (@t99)) % 31.96/33.24 (step @p357 :rule symm :premises (@p272)) % 31.96/33.24 (step @p358 :rule cong :premises (@p62 @p253) :args (@t85)) % 31.96/33.24 (step @p359 :rule trans :premises (@p358 @p357)) % 31.96/33.24 (step @p360 :rule symm :premises (@p28)) % 31.96/33.24 (step @p361 :rule cong :premises (@p61 @p253) :args (@t86)) % 31.96/33.24 (step @p362 :rule trans :premises (@p361 @p360)) % 31.96/33.24 (step @p363 :rule cong :premises (@p362 @p359) :args (@t87)) % 31.96/33.24 (step @p364 :rule cong :premises (@p363 @p297) :args (@t89)) % 31.96/33.24 (step @p365 :rule trans :premises (@p364 @p148 @p356 @p303)) % 31.96/33.24 (step @p366 :rule cong :premises (@p365 @p302) :args (@t90)) % 31.96/33.24 (step @p367 :rule trans :premises (@p366 @p296)) % 31.96/33.24 (step @p368 :rule symm :premises (@p154)) % 31.96/33.24 (step @p369 :rule cong :premises (@p368 @p367) :args (@t92)) % 31.96/33.24 (step @p370 :rule trans :premises (@p369 @p296 @p295)) % 31.96/33.24 (step @p371 :rule refl :args (tptp.truth)) % 31.96/33.24 (step @p372 :rule cong :premises (@p371 @p370) :args (@t93)) % 31.96/33.24 (step @p373 :rule trans :premises (@p372 @p252)) % 31.96/33.24 (step @p374 :rule false_elim :premises (@p373)) % 31.96/33.24 (step-pop @p543 :rule scope :premises (@p374)) % 31.96/33.24 (step-pop @p544 :rule scope :premises (@p543)) % 31.96/33.24 (step-pop @p545 :rule scope :premises (@p544)) % 31.96/33.24 (step-pop @p546 :rule scope :premises (@p545)) % 31.96/33.24 (step-pop @p547 :rule scope :premises (@p546)) % 31.96/33.24 (step-pop @p548 :rule scope :premises (@p547)) % 31.96/33.24 (step-pop @p549 :rule scope :premises (@p548)) % 31.96/33.24 (step-pop @p550 :rule scope :premises (@p549)) % 31.96/33.24 (step-pop @p551 :rule scope :premises (@p550)) % 31.96/33.24 (step-pop @p552 :rule scope :premises (@p551)) % 31.96/33.24 (step-pop @p553 :rule scope :premises (@p552)) % 31.96/33.24 (step-pop @p554 :rule scope :premises (@p553)) % 31.96/33.24 (step-pop @p555 :rule scope :premises (@p554)) % 31.96/33.24 (step-pop @p556 :rule scope :premises (@p555)) % 31.96/33.24 (step-pop @p557 :rule scope :premises (@p556)) % 31.96/33.24 (step-pop @p558 :rule scope :premises (@p557)) % 31.96/33.24 (step-pop @p559 :rule scope :premises (@p558)) % 31.96/33.24 (step-pop @p560 :rule scope :premises (@p559)) % 31.96/33.24 (step-pop @p561 :rule scope :premises (@p560)) % 31.96/33.24 (step-pop @p562 :rule scope :premises (@p561)) % 31.96/33.24 (step-pop @p563 :rule scope :premises (@p562)) % 31.96/33.24 (step-pop @p564 :rule scope :premises (@p563)) % 31.96/33.24 (step-pop @p565 :rule scope :premises (@p564)) % 31.96/33.24 (step-pop @p566 :rule scope :premises (@p565)) % 31.96/33.24 (step-pop @p567 :rule scope :premises (@p566)) % 31.96/33.24 (step-pop @p568 :rule scope :premises (@p567)) % 31.96/33.24 (step-pop @p569 :rule scope :premises (@p568)) % 31.96/33.24 (step-pop @p570 :rule scope :premises (@p569)) % 31.96/33.24 (step @p375 :rule process_scope :premises (@p570) :args (@t94)) % 31.96/33.24 (step @p404 :rule and_intro :premises (@p504 @p26 @p30 @p24 @p33 @p31 @p27 @p29 @p23 @p14 @p19 @p32 @p153 @p154 @p147 @p146 @p37 @p25 @p22 @p18 @p34 @p21 @p20 @p35 @p36 @p148 @p28 @p508)) % 31.96/33.24 (step @p405 :rule modus_ponens :premises (@p404 @p375)) % 31.96/33.24 (step @p406 :rule and_intro :premises (@p405 @p155)) % 31.96/33.24 (step-pop @p571 :rule scope :premises (@p406)) % 31.96/33.24 (step-pop @p572 :rule scope :premises (@p571)) % 31.96/33.24 (step-pop @p573 :rule scope :premises (@p572)) % 31.96/33.24 (step-pop @p574 :rule scope :premises (@p573)) % 31.96/33.24 (step-pop @p575 :rule scope :premises (@p574)) % 31.96/33.24 (step-pop @p576 :rule scope :premises (@p575)) % 31.96/33.24 (step-pop @p577 :rule scope :premises (@p576)) % 31.96/33.24 (step-pop @p578 :rule scope :premises (@p577)) % 31.96/33.24 (step-pop @p579 :rule scope :premises (@p578)) % 31.96/33.24 (step-pop @p580 :rule scope :premises (@p579)) % 31.96/33.24 (step-pop @p581 :rule scope :premises (@p580)) % 31.96/33.24 (step-pop @p582 :rule scope :premises (@p581)) % 31.96/33.24 (step-pop @p583 :rule scope :premises (@p582)) % 31.96/33.24 (step-pop @p584 :rule scope :premises (@p583)) % 31.96/33.24 (step-pop @p585 :rule scope :premises (@p584)) % 31.96/33.24 (step-pop @p586 :rule scope :premises (@p585)) % 31.96/33.24 (step-pop @p587 :rule scope :premises (@p586)) % 31.96/33.24 (step-pop @p588 :rule scope :premises (@p587)) % 31.96/33.24 (step-pop @p589 :rule scope :premises (@p588)) % 31.96/33.24 (step-pop @p590 :rule scope :premises (@p589)) % 31.96/33.24 (step-pop @p591 :rule scope :premises (@p590)) % 31.96/33.24 (step-pop @p592 :rule scope :premises (@p591)) % 31.96/33.24 (step-pop @p593 :rule scope :premises (@p592)) % 31.96/33.24 (step-pop @p594 :rule scope :premises (@p593)) % 31.96/33.24 (step-pop @p595 :rule scope :premises (@p594)) % 31.96/33.24 (step-pop @p596 :rule scope :premises (@p595)) % 31.96/33.24 (step-pop @p597 :rule scope :premises (@p596)) % 31.96/33.24 (step-pop @p598 :rule scope :premises (@p597)) % 31.96/33.24 (step-pop @p599 :rule scope :premises (@p598)) % 31.96/33.24 (step @p407 :rule process_scope :premises (@p599) :args (@t165)) % 31.96/33.24 (step @p437 :rule implies_elim :premises (@p407)) % 31.96/33.24 (step @p438 :rule resolution :premises (@p437 @p192) :args (true @t165)) % 31.96/33.24 (step @p439 :rule not_and :premises (@p438)) % 31.96/33.24 (step @p440 :rule eq_resolve :premises (@p439 @p183)) % 31.96/33.24 (step @p441 false :rule chain_m_resolution :premises (@p440 @p155 @p154 @p153 @p152 @p148 @p147 @p146 @p145 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p14) :args (false (@list false false false true 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) (@list @t93 @t95 @t97 @t47 @t100 @t102 @t104 @t75 @t107 @t111 @t117 @t123 @t126 @t128 @t131 @t134 @t137 @t139 @t141 @t144 @t53 @t146 @t148 @t152 @t155 @t158 @t161 @t163 @t55))) % 31.96/33.24 ) % 31.96/33.25 % SZS output end Proof % 31.96/33.25 % cvc5 exiting %------------------------------------------------------------------------------