%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL953_8 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 11:24:15 AM UTC 2026 % Result : Theorem 0.21s 0.51s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL953_8 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n020.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 00:47:57 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.51 % SZS status Theorem % 0.21/0.51 % SZS output start Proof % 0.21/0.51 ( % 0.21/0.51 (declare-sort |tptp.'$ki_world'| 0) % 0.21/0.51 (declare-sort $$unsorted 0) % 0.21/0.51 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.21/0.51 (declare-const tptp.empty (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.21/0.51 (declare-const tptp.in (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 0.21/0.51 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.21/0.51 (declare-const tptp.disjoint (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 0.21/0.51 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.21/0.51 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.21/0.51 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t2 () (@list @t1)) % 0.21/0.51 (define @t3 () (@var "X" $$unsorted)) % 0.21/0.51 (define @t4 () (@var "A" $$unsorted)) % 0.21/0.51 (define @t5 () (@var "B" $$unsorted)) % 0.21/0.51 (define @t6 () (@var "W2" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t7 () (@var "W1" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t8 () (|tptp.'$ki_accessible'| @t7 @t6)) % 0.21/0.51 (define @t9 () (@list @t6)) % 0.21/0.51 (define @t10 () (@var "W0" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t11 () (|tptp.'$ki_accessible'| @t10 @t7)) % 0.21/0.51 (define @t12 () (@list @t7)) % 0.21/0.51 (define @t13 () (|tptp.'$ki_exists_in_world_$i'| @t10 @t5)) % 0.21/0.51 (define @t14 () (@list @t5)) % 0.21/0.51 (define @t15 () (|tptp.'$ki_accessible'| @t1 @t10)) % 0.21/0.51 (define @t16 () (@list @t10)) % 0.21/0.51 (define @t17 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t4)) % 0.21/0.51 (define @t18 () (@list @t4)) % 0.21/0.51 (define @t19 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 0.21/0.51 (define @t20 () (@var "W3" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t21 () (|tptp.'$ki_accessible'| @t6 @t20)) % 0.21/0.51 (define @t22 () (@list @t20)) % 0.21/0.51 (define @t23 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t4)) % 0.21/0.51 (define @t24 () (tptp.singleton @t4)) % 0.21/0.51 (define @t25 () (tptp.disjoint @t6 @t24 @t5)) % 0.21/0.51 (define @t26 () (forall @t9 (=> @t8 @t25))) % 0.21/0.51 (define @t27 () (tptp.in @t20 @t4 @t5)) % 0.21/0.51 (define @t28 () (forall @t22 (=> @t21 @t27))) % 0.21/0.51 (define @t29 () (not @t28)) % 0.21/0.51 (define @t30 () (=> @t8 @t29)) % 0.21/0.51 (define @t31 () (forall @t9 @t30)) % 0.21/0.51 (define @t32 () (=> @t31 @t26)) % 0.21/0.51 (define @t33 () (=> @t11 @t32)) % 0.21/0.51 (define @t34 () (forall @t12 @t33)) % 0.21/0.51 (define @t35 () (=> @t13 @t34)) % 0.21/0.51 (define @t36 () (forall @t14 @t35)) % 0.21/0.51 (define @t37 () (=> @t15 @t36)) % 0.21/0.51 (define @t38 () (forall @t16 @t37)) % 0.21/0.51 (define @t39 () (=> @t17 @t38)) % 0.21/0.51 (define @t40 () (forall @t18 @t39)) % 0.21/0.51 (define @t41 () (=> @t19 @t40)) % 0.21/0.51 (define @t42 () (forall @t2 @t41)) % 0.21/0.51 (define @t43 () (not @t42)) % 0.21/0.51 (define @t44 () (@var "BOUND_VARIABLE_8009" $$unsorted)) % 0.21/0.51 (define @t45 () (@var "BOUND_VARIABLE_8005" $$unsorted)) % 0.21/0.51 (define @t46 () (@var "BOUND_VARIABLE_8013" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t47 () (tptp.disjoint @t46 (tptp.singleton @t45) @t44)) % 0.21/0.51 (define @t48 () (@var "BOUND_VARIABLE_8011" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t49 () (not (|tptp.'$ki_accessible'| @t48 @t46))) % 0.21/0.51 (define @t50 () (not @t21)) % 0.21/0.51 (define @t51 () (not (forall @t9 (or (not (|tptp.'$ki_accessible'| @t48 @t6)) (not (forall @t22 (or @t50 (tptp.in @t20 @t45 @t44)))))))) % 0.21/0.51 (define @t52 () (@var "BOUND_VARIABLE_8007" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t53 () (not (|tptp.'$ki_accessible'| @t52 @t48))) % 0.21/0.51 (define @t54 () (not (|tptp.'$ki_exists_in_world_$i'| @t52 @t44))) % 0.21/0.51 (define @t55 () (not (|tptp.'$ki_accessible'| @t1 @t52))) % 0.21/0.51 (define @t56 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t45))) % 0.21/0.51 (define @t57 () (not @t19)) % 0.21/0.51 (define @t58 () (or @t57 @t56 @t55 @t54 @t53 @t51 @t49 @t47)) % 0.21/0.51 (define @t59 () (or @t56 @t55 @t54 @t53 @t51 @t49 @t47)) % 0.21/0.51 (define @t60 () (or @t57 @t59)) % 0.21/0.51 (define @t61 () (@list @t1 @t45 @t52 @t44 @t48 @t46)) % 0.21/0.51 (define @t62 () (forall @t61 @t60)) % 0.21/0.51 (define @t63 () (@list @t45 @t52 @t44 @t48 @t46)) % 0.21/0.51 (define @t64 () (forall @t63 @t60)) % 0.21/0.51 (define @t65 () (forall @t63 @t59)) % 0.21/0.51 (define @t66 () (@var "BOUND_VARIABLE_7975" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t67 () (@var "BOUND_VARIABLE_7973" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t68 () (@var "BOUND_VARIABLE_7971" $$unsorted)) % 0.21/0.51 (define @t69 () (@var "BOUND_VARIABLE_7969" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t70 () (or @t57 @t65)) % 0.21/0.51 (define @t71 () (tptp.disjoint @t66 @t24 @t68)) % 0.21/0.51 (define @t72 () (not (|tptp.'$ki_accessible'| @t67 @t66))) % 0.21/0.51 (define @t73 () (not (forall @t9 (or (not (|tptp.'$ki_accessible'| @t67 @t6)) (not (forall @t22 (or @t50 (tptp.in @t20 @t4 @t68)))))))) % 0.21/0.51 (define @t74 () (not (|tptp.'$ki_accessible'| @t69 @t67))) % 0.21/0.51 (define @t75 () (not (|tptp.'$ki_exists_in_world_$i'| @t69 @t68))) % 0.21/0.51 (define @t76 () (not (|tptp.'$ki_accessible'| @t1 @t69))) % 0.21/0.51 (define @t77 () (not @t17)) % 0.21/0.51 (define @t78 () (or @t77 @t76 @t75 @t74 @t73 @t72 @t71)) % 0.21/0.51 (define @t79 () (@list @t4 @t69 @t68 @t67 @t66)) % 0.21/0.51 (define @t80 () (forall @t79 @t78)) % 0.21/0.51 (define @t81 () (or @t76 @t75 @t74 @t73 @t72 @t71)) % 0.21/0.51 (define @t82 () (or @t77 @t81)) % 0.21/0.51 (define @t83 () (forall @t79 @t82)) % 0.21/0.51 (define @t84 () (@list @t69 @t68 @t67 @t66)) % 0.21/0.51 (define @t85 () (forall @t84 @t82)) % 0.21/0.51 (define @t86 () (forall @t84 @t81)) % 0.21/0.51 (define @t87 () (@var "BOUND_VARIABLE_7941" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t88 () (@var "BOUND_VARIABLE_7939" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t89 () (@var "BOUND_VARIABLE_7937" $$unsorted)) % 0.21/0.51 (define @t90 () (or @t77 @t86)) % 0.21/0.51 (define @t91 () (tptp.disjoint @t87 @t24 @t89)) % 0.21/0.51 (define @t92 () (not (|tptp.'$ki_accessible'| @t88 @t87))) % 0.21/0.51 (define @t93 () (not (forall @t9 (or (not (|tptp.'$ki_accessible'| @t88 @t6)) (not (forall @t22 (or @t50 (tptp.in @t20 @t4 @t89)))))))) % 0.21/0.51 (define @t94 () (not (|tptp.'$ki_accessible'| @t10 @t88))) % 0.21/0.51 (define @t95 () (not (|tptp.'$ki_exists_in_world_$i'| @t10 @t89))) % 0.21/0.51 (define @t96 () (not @t15)) % 0.21/0.51 (define @t97 () (or @t96 @t95 @t94 @t93 @t92 @t91)) % 0.21/0.51 (define @t98 () (@list @t10 @t89 @t88 @t87)) % 0.21/0.51 (define @t99 () (forall @t98 @t97)) % 0.21/0.51 (define @t100 () (or @t95 @t94 @t93 @t92 @t91)) % 0.21/0.51 (define @t101 () (or @t96 @t100)) % 0.21/0.51 (define @t102 () (forall @t98 @t101)) % 0.21/0.51 (define @t103 () (@list @t89 @t88 @t87)) % 0.21/0.51 (define @t104 () (forall @t103 @t101)) % 0.21/0.51 (define @t105 () (forall @t103 @t100)) % 0.21/0.51 (define @t106 () (@var "BOUND_VARIABLE_7915" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t107 () (@var "BOUND_VARIABLE_7913" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t108 () (or @t96 @t105)) % 0.21/0.51 (define @t109 () (tptp.disjoint @t106 @t24 @t5)) % 0.21/0.51 (define @t110 () (not (|tptp.'$ki_accessible'| @t107 @t106))) % 0.21/0.51 (define @t111 () (not (forall @t22 (or @t50 @t27)))) % 0.21/0.51 (define @t112 () (not (forall @t9 (or (not (|tptp.'$ki_accessible'| @t107 @t6)) @t111)))) % 0.21/0.51 (define @t113 () (not (|tptp.'$ki_accessible'| @t10 @t107))) % 0.21/0.51 (define @t114 () (not @t13)) % 0.21/0.51 (define @t115 () (or @t114 @t113 @t112 @t110 @t109)) % 0.21/0.51 (define @t116 () (@list @t5 @t107 @t106)) % 0.21/0.51 (define @t117 () (forall @t116 @t115)) % 0.21/0.51 (define @t118 () (or @t113 @t112 @t110 @t109)) % 0.21/0.51 (define @t119 () (or @t114 @t118)) % 0.21/0.51 (define @t120 () (forall @t116 @t119)) % 0.21/0.51 (define @t121 () (@list @t107 @t106)) % 0.21/0.51 (define @t122 () (forall @t121 @t119)) % 0.21/0.51 (define @t123 () (forall @t121 @t118)) % 0.21/0.51 (define @t124 () (@var "BOUND_VARIABLE_7898" |tptp.'$ki_world'|)) % 0.21/0.51 (define @t125 () (or @t114 @t123)) % 0.21/0.51 (define @t126 () (tptp.disjoint @t124 @t24 @t5)) % 0.21/0.51 (define @t127 () (not (|tptp.'$ki_accessible'| @t7 @t124))) % 0.21/0.51 (define @t128 () (not @t8)) % 0.21/0.51 (define @t129 () (forall @t9 (or @t128 @t111))) % 0.21/0.51 (define @t130 () (not @t129)) % 0.21/0.51 (define @t131 () (not @t11)) % 0.21/0.51 (define @t132 () (or @t131 @t130 @t127 @t126)) % 0.21/0.51 (define @t133 () (@list @t7 @t124)) % 0.21/0.51 (define @t134 () (forall @t133 @t132)) % 0.21/0.51 (define @t135 () (or @t127 @t126)) % 0.21/0.51 (define @t136 () (or @t131 @t130 @t135)) % 0.21/0.51 (define @t137 () (forall @t133 @t136)) % 0.21/0.51 (define @t138 () (@list @t124)) % 0.21/0.51 (define @t139 () (forall @t138 @t136)) % 0.21/0.51 (define @t140 () (forall @t138 @t135)) % 0.21/0.51 (define @t141 () (or @t131 @t130 @t140)) % 0.21/0.51 (define @t142 () (forall @t9 (or @t128 @t25))) % 0.21/0.51 (define @t143 () (or @t131 @t130 @t142)) % 0.21/0.51 (define @t144 () (=> @t129 @t142)) % 0.21/0.51 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 0.21/0.51 (assume @p2 (forall @t2 (exists (@list @t3) (|tptp.'$ki_exists_in_world_$i'| @t1 @t3)))) % 0.21/0.51 (assume @p3 (forall @t2 (=> @t19 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (forall @t12 (=> @t11 (=> (forall @t9 (=> @t8 (tptp.disjoint @t6 @t4 @t5))) (forall @t9 (=> @t8 (tptp.disjoint @t6 @t5 @t4))))))))))))))) % 0.21/0.51 (assume @p4 (forall @t2 (=> @t19 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (forall @t12 (=> @t11 (=> (forall @t9 (=> @t8 (tptp.in @t6 @t4 @t5))) (forall @t9 (=> @t8 (not (forall @t22 (=> @t21 (tptp.in @t20 @t5 @t4)))))))))))))))))) % 0.21/0.51 (assume @p5 (exists @t18 (and @t23 (forall @t2 (=> @t19 (tptp.empty @t1 @t4)))))) % 0.21/0.51 (assume @p6 (exists @t18 (and @t23 (forall @t2 (=> @t19 (not (forall @t16 (=> @t15 (tptp.empty @t10 @t4))))))))) % 0.21/0.51 (assume @p7 @t42) % 0.21/0.51 (assume @p8 @t43) % 0.21/0.51 (assume @p9 true) % 0.21/0.51 (step @p10 :rule aci_norm :args ((= @t60 @t58))) % 0.21/0.51 (step @p11 :rule cong :premises (@p10) :args (@t62)) % 0.21/0.51 (step @p12 :rule quant-merge-prenex :args ((= (forall @t2 @t64) @t62))) % 0.21/0.51 (step @p13 :rule alpha_equiv :args (@t65 (@list @t45 @t52 @t44 @t48 @t46) (@list @t4 @t69 @t68 @t67 @t66))) % 0.21/0.51 (step @p14 :rule refl :args (@t57)) % 0.21/0.51 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t70)) % 0.21/0.51 (step @p16 :rule quant-miniscope-or :args ((= @t64 @t70))) % 0.21/0.51 (step @p17 :rule trans :premises (@p16 @p15)) % 0.21/0.51 (step @p18 :rule symm :premises (@p17)) % 0.21/0.51 (step @p19 :rule cong :premises (@p18) :args ((forall @t2 (or @t57 @t80)))) % 0.21/0.51 (step @p20 :rule trans :premises (@p19 @p12)) % 0.21/0.51 (step @p21 :rule trans :premises (@p20 @p11)) % 0.21/0.51 (step @p22 :rule bool-impl-elim :args (@t19 @t80)) % 0.21/0.51 (step @p23 :rule cong :premises (@p22) :args ((forall @t2 (=> @t19 @t80)))) % 0.21/0.51 (step @p24 :rule trans :premises (@p23 @p21)) % 0.21/0.51 (step @p25 :rule aci_norm :args ((= @t82 @t78))) % 0.21/0.51 (step @p26 :rule cong :premises (@p25) :args (@t83)) % 0.21/0.51 (step @p27 :rule quant-merge-prenex :args ((= (forall @t18 @t85) @t83))) % 0.21/0.51 (step @p28 :rule alpha_equiv :args (@t86 (@list @t69 @t68 @t67 @t66) (@list @t10 @t89 @t88 @t87))) % 0.21/0.51 (step @p29 :rule refl :args (@t77)) % 0.21/0.51 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t90)) % 0.21/0.51 (step @p31 :rule quant-miniscope-or :args ((= @t85 @t90))) % 0.21/0.51 (step @p32 :rule trans :premises (@p31 @p30)) % 0.21/0.51 (step @p33 :rule symm :premises (@p32)) % 0.21/0.51 (step @p34 :rule cong :premises (@p33) :args ((forall @t18 (or @t77 @t99)))) % 0.21/0.51 (step @p35 :rule trans :premises (@p34 @p27)) % 0.21/0.51 (step @p36 :rule trans :premises (@p35 @p26)) % 0.21/0.51 (step @p37 :rule bool-impl-elim :args (@t17 @t99)) % 0.21/0.51 (step @p38 :rule cong :premises (@p37) :args ((forall @t18 (=> @t17 @t99)))) % 0.21/0.51 (step @p39 :rule trans :premises (@p38 @p36)) % 0.21/0.51 (step @p40 :rule aci_norm :args ((= @t101 @t97))) % 0.21/0.51 (step @p41 :rule cong :premises (@p40) :args (@t102)) % 0.21/0.51 (step @p42 :rule quant-merge-prenex :args ((= (forall @t16 @t104) @t102))) % 0.21/0.51 (step @p43 :rule alpha_equiv :args (@t105 (@list @t89 @t88 @t87) (@list @t5 @t107 @t106))) % 0.21/0.51 (step @p44 :rule refl :args (@t96)) % 0.21/0.51 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t108)) % 0.21/0.51 (step @p46 :rule quant-miniscope-or :args ((= @t104 @t108))) % 0.21/0.51 (step @p47 :rule trans :premises (@p46 @p45)) % 0.21/0.51 (step @p48 :rule symm :premises (@p47)) % 0.21/0.51 (step @p49 :rule cong :premises (@p48) :args ((forall @t16 (or @t96 @t117)))) % 0.21/0.51 (step @p50 :rule trans :premises (@p49 @p42)) % 0.21/0.51 (step @p51 :rule trans :premises (@p50 @p41)) % 0.21/0.51 (step @p52 :rule bool-impl-elim :args (@t15 @t117)) % 0.21/0.51 (step @p53 :rule cong :premises (@p52) :args ((forall @t16 (=> @t15 @t117)))) % 0.21/0.51 (step @p54 :rule trans :premises (@p53 @p51)) % 0.21/0.51 (step @p55 :rule aci_norm :args ((= @t119 @t115))) % 0.21/0.51 (step @p56 :rule cong :premises (@p55) :args (@t120)) % 0.21/0.51 (step @p57 :rule quant-merge-prenex :args ((= (forall @t14 @t122) @t120))) % 0.21/0.51 (step @p58 :rule alpha_equiv :args (@t123 (@list @t107 @t106) (@list @t7 @t124))) % 0.21/0.51 (step @p59 :rule refl :args (@t114)) % 0.21/0.51 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t125)) % 0.21/0.51 (step @p61 :rule quant-miniscope-or :args ((= @t122 @t125))) % 0.21/0.51 (step @p62 :rule trans :premises (@p61 @p60)) % 0.21/0.51 (step @p63 :rule symm :premises (@p62)) % 0.21/0.51 (step @p64 :rule cong :premises (@p63) :args ((forall @t14 (or @t114 @t134)))) % 0.21/0.51 (step @p65 :rule trans :premises (@p64 @p57)) % 0.21/0.51 (step @p66 :rule trans :premises (@p65 @p56)) % 0.21/0.51 (step @p67 :rule bool-impl-elim :args (@t13 @t134)) % 0.21/0.51 (step @p68 :rule cong :premises (@p67) :args ((forall @t14 (=> @t13 @t134)))) % 0.21/0.51 (step @p69 :rule trans :premises (@p68 @p66)) % 0.21/0.51 (step @p70 :rule aci_norm :args ((= @t136 @t132))) % 0.21/0.51 (step @p71 :rule cong :premises (@p70) :args (@t137)) % 0.21/0.51 (step @p72 :rule quant-merge-prenex :args ((= (forall @t12 @t139) @t137))) % 0.21/0.51 (step @p73 :rule alpha_equiv :args (@t140 (@list @t124) (@list @t6))) % 0.21/0.51 (step @p74 :rule refl :args (@t130)) % 0.21/0.51 (step @p75 :rule refl :args (@t131)) % 0.21/0.51 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73) :args (@t141)) % 0.21/0.51 (step @p77 :rule quant-miniscope-or :args ((= @t139 @t141))) % 0.21/0.51 (step @p78 :rule trans :premises (@p77 @p76)) % 0.21/0.51 (step @p79 :rule symm :premises (@p78)) % 0.21/0.51 (step @p80 :rule cong :premises (@p79) :args ((forall @t12 @t143))) % 0.21/0.51 (step @p81 :rule trans :premises (@p80 @p72)) % 0.21/0.51 (step @p82 :rule trans :premises (@p81 @p71)) % 0.21/0.51 (step @p83 :rule aci_norm :args ((= (or @t131 (or @t130 @t142)) @t143))) % 0.21/0.51 (step @p84 :rule bool-impl-elim :args (@t129 @t142)) % 0.21/0.51 (step @p85 :rule nary_cong :premises (@p75 @p84) :args ((or @t131 @t144))) % 0.21/0.51 (step @p86 :rule trans :premises (@p85 @p83)) % 0.21/0.51 (step @p87 :rule bool-impl-elim :args (@t11 @t144)) % 0.21/0.51 (step @p88 :rule trans :premises (@p87 @p86)) % 0.21/0.51 (step @p89 :rule cong :premises (@p88) :args ((forall @t12 (=> @t11 @t144)))) % 0.21/0.51 (step @p90 :rule trans :premises (@p89 @p82)) % 0.21/0.51 (step @p91 :rule bool-impl-elim :args (@t8 @t25)) % 0.21/0.51 (step @p92 :rule cong :premises (@p91) :args (@t26)) % 0.21/0.51 (step @p93 :rule bool-impl-elim :args (@t8 @t111)) % 0.21/0.51 (step @p94 :rule cong :premises (@p93) :args ((forall @t9 (=> @t8 @t111)))) % 0.21/0.51 (step @p95 :rule bool-impl-elim :args (@t21 @t27)) % 0.21/0.51 (step @p96 :rule cong :premises (@p95) :args (@t28)) % 0.21/0.51 (step @p97 :rule cong :premises (@p96) :args (@t29)) % 0.21/0.51 (step @p98 :rule refl :args (@t8)) % 0.21/0.51 (step @p99 :rule cong :premises (@p98 @p97) :args (@t30)) % 0.21/0.51 (step @p100 :rule cong :premises (@p99) :args (@t31)) % 0.21/0.51 (step @p101 :rule trans :premises (@p100 @p94)) % 0.21/0.51 (step @p102 :rule cong :premises (@p101 @p92) :args (@t32)) % 0.21/0.51 (step @p103 :rule refl :args (@t11)) % 0.21/0.51 (step @p104 :rule cong :premises (@p103 @p102) :args (@t33)) % 0.21/0.51 (step @p105 :rule cong :premises (@p104) :args (@t34)) % 0.21/0.51 (step @p106 :rule trans :premises (@p105 @p90)) % 0.21/0.51 (step @p107 :rule refl :args (@t13)) % 0.21/0.51 (step @p108 :rule cong :premises (@p107 @p106) :args (@t35)) % 0.21/0.51 (step @p109 :rule cong :premises (@p108) :args (@t36)) % 0.21/0.51 (step @p110 :rule trans :premises (@p109 @p69)) % 0.21/0.51 (step @p111 :rule refl :args (@t15)) % 0.21/0.51 (step @p112 :rule cong :premises (@p111 @p110) :args (@t37)) % 0.21/0.51 (step @p113 :rule cong :premises (@p112) :args (@t38)) % 0.21/0.51 (step @p114 :rule trans :premises (@p113 @p54)) % 0.21/0.51 (step @p115 :rule refl :args (@t17)) % 0.21/0.51 (step @p116 :rule cong :premises (@p115 @p114) :args (@t39)) % 0.21/0.51 (step @p117 :rule cong :premises (@p116) :args (@t40)) % 0.21/0.51 (step @p118 :rule trans :premises (@p117 @p39)) % 0.21/0.51 (step @p119 :rule refl :args (@t19)) % 0.21/0.51 (step @p120 :rule cong :premises (@p119 @p118) :args (@t41)) % 0.21/0.51 (step @p121 :rule cong :premises (@p120) :args (@t42)) % 0.21/0.51 (step @p122 :rule trans :premises (@p121 @p24)) % 0.21/0.51 (step @p123 :rule eq_resolve :premises (@p7 @p122)) % 0.21/0.51 (step @p124 :rule cong :premises (@p122) :args (@t43)) % 0.21/0.51 (step @p125 :rule eq_resolve :premises (@p8 @p124)) % 0.21/0.51 (step @p126 false :rule chain_m_resolution :premises (@p125 @p123) :args (false (@list false) (@list (forall @t61 @t58)))) % 0.21/0.51 ) % 0.21/0.51 % SZS output end Proof % 0.21/0.51 % cvc5 exiting %------------------------------------------------------------------------------