%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA053_4 : TPTP v9.2.1. 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 : n017.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 08:43:30 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA053_4 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 13:03:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort |tptp.'$ki_world'| 0) % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.defused (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.h (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.36/0.59 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.36/0.59 (declare-const tptp.bomb (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.36/0.59 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.36/0.59 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.36/0.59 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.36/0.59 (define @t2 () (@list @t1)) % 0.36/0.59 (define @t3 () (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 0.36/0.59 (define @t4 () (@var "U" |tptp.'$ki_world'|)) % 0.36/0.59 (define @t5 () (@var "V" |tptp.'$ki_world'|)) % 0.36/0.59 (define @t6 () (@var "X" $$unsorted)) % 0.36/0.59 (define @t7 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t6)) % 0.36/0.59 (define @t8 () (@list @t6)) % 0.36/0.59 (define @t9 () (@var "B" $$unsorted)) % 0.36/0.59 (define @t10 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 0.36/0.59 (define @t11 () (@var "W0" |tptp.'$ki_world'|)) % 0.36/0.59 (define @t12 () (tptp.bomb @t11 @t6)) % 0.36/0.59 (define @t13 () (|tptp.'$ki_accessible'| @t1 @t11)) % 0.36/0.59 (define @t14 () (@list @t11)) % 0.36/0.59 (define @t15 () (@var "A" $$unsorted)) % 0.36/0.59 (define @t16 () (tptp.bomb @t1 @t6)) % 0.36/0.59 (define @t17 () (tptp.defused @t11 @t6)) % 0.36/0.59 (define @t18 () (@var "D" $$unsorted)) % 0.36/0.59 (define @t19 () (tptp.h @t11 @t18)) % 0.36/0.59 (define @t20 () (and @t12 @t19)) % 0.36/0.59 (define @t21 () (=> @t20 @t17)) % 0.36/0.59 (define @t22 () (forall @t14 (=> @t13 @t21))) % 0.36/0.59 (define @t23 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t18)) % 0.36/0.59 (define @t24 () (and @t23 @t22)) % 0.36/0.59 (define @t25 () (@list @t18)) % 0.36/0.59 (define @t26 () (exists @t25 @t24)) % 0.36/0.59 (define @t27 () (=> @t7 @t26)) % 0.36/0.59 (define @t28 () (forall @t8 @t27)) % 0.36/0.59 (define @t29 () (=> @t10 @t28)) % 0.36/0.59 (define @t30 () (forall @t2 @t29)) % 0.36/0.59 (define @t31 () (tptp.defused @t1 @t6)) % 0.36/0.59 (define @t32 () (tptp.h @t1 @t18)) % 0.36/0.59 (define @t33 () (and @t16 @t32)) % 0.36/0.59 (define @t34 () (=> @t33 @t31)) % 0.36/0.59 (define @t35 () (and @t23 @t34)) % 0.36/0.59 (define @t36 () (exists @t25 @t35)) % 0.36/0.59 (define @t37 () (=> @t7 @t36)) % 0.36/0.59 (define @t38 () (forall @t8 @t37)) % 0.36/0.59 (define @t39 () (=> @t10 @t38)) % 0.36/0.59 (define @t40 () (forall @t2 @t39)) % 0.36/0.59 (define @t41 () (not @t40)) % 0.36/0.59 (define @t42 () (@var "BOUND_VARIABLE_7601" $$unsorted)) % 0.36/0.59 (define @t43 () (not @t19)) % 0.36/0.59 (define @t44 () (not @t13)) % 0.36/0.59 (define @t45 () (not @t23)) % 0.36/0.59 (define @t46 () (not (forall @t25 (or @t45 (not (forall @t14 (or @t44 (not (tptp.bomb @t11 @t42)) @t43 (tptp.defused @t11 @t42)))))))) % 0.36/0.59 (define @t47 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t42))) % 0.36/0.59 (define @t48 () (not @t10)) % 0.36/0.59 (define @t49 () (or @t47 @t46)) % 0.36/0.59 (define @t50 () (or @t48 @t49)) % 0.36/0.59 (define @t51 () (forall (@list @t1 @t42) @t50)) % 0.36/0.59 (define @t52 () (@list @t42)) % 0.36/0.59 (define @t53 () (forall @t52 @t50)) % 0.36/0.59 (define @t54 () (forall @t52 @t49)) % 0.36/0.59 (define @t55 () (@list @t6)) % 0.36/0.59 (define @t56 () (or @t48 @t54)) % 0.36/0.59 (define @t57 () (not @t12)) % 0.36/0.59 (define @t58 () (or @t44 @t57 @t43 @t17)) % 0.36/0.59 (define @t59 () (forall @t14 @t58)) % 0.36/0.59 (define @t60 () (not (forall @t25 (or @t45 (not @t59))))) % 0.36/0.59 (define @t61 () (not @t7)) % 0.36/0.59 (define @t62 () (forall @t8 (or @t61 @t60))) % 0.36/0.59 (define @t63 () (and @t23 @t59)) % 0.36/0.59 (define @t64 () (forall @t25 (not @t63))) % 0.36/0.59 (define @t65 () (not @t64)) % 0.36/0.59 (define @t66 () (or @t57 @t43 @t17)) % 0.36/0.59 (define @t67 () (@var "BOUND_VARIABLE_7638" $$unsorted)) % 0.36/0.59 (define @t68 () (not (forall @t25 (or @t45 (and (tptp.bomb @t1 @t67) @t32 (not (tptp.defused @t1 @t67))))))) % 0.36/0.59 (define @t69 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t67))) % 0.36/0.59 (define @t70 () (or @t48 @t69 @t68)) % 0.36/0.59 (define @t71 () (@list @t1 @t67)) % 0.36/0.59 (define @t72 () (forall @t71 @t70)) % 0.36/0.59 (define @t73 () (@quantifiers_skolemize @t72 1)) % 0.36/0.59 (define @t74 () (@quantifiers_skolemize @t72 0)) % 0.36/0.59 (define @t75 () (or @t69 @t68)) % 0.36/0.59 (define @t76 () (or @t48 @t75)) % 0.36/0.59 (define @t77 () (forall @t71 @t76)) % 0.36/0.59 (define @t78 () (@list @t67)) % 0.36/0.59 (define @t79 () (forall @t78 @t76)) % 0.36/0.59 (define @t80 () (forall @t78 @t75)) % 0.36/0.59 (define @t81 () (or @t48 @t80)) % 0.36/0.59 (define @t82 () (not @t31)) % 0.36/0.59 (define @t83 () (and @t16 @t32 @t82)) % 0.36/0.59 (define @t84 () (not (forall @t25 (or @t45 @t83)))) % 0.36/0.59 (define @t85 () (forall @t8 (or @t61 @t84))) % 0.36/0.59 (define @t86 () (forall @t25 (not @t35))) % 0.36/0.59 (define @t87 () (not @t86)) % 0.36/0.59 (define @t88 () (|tptp.'$ki_exists_in_world_$i'| @t74 @t73)) % 0.36/0.59 (define @t89 () (tptp.defused @t74 @t73)) % 0.36/0.59 (define @t90 () (not @t89)) % 0.36/0.59 (define @t91 () (tptp.bomb @t74 @t73)) % 0.36/0.59 (define @t92 () (not (|tptp.'$ki_exists_in_world_$i'| @t74 @t18))) % 0.36/0.59 (define @t93 () (forall @t25 (or @t92 (and @t91 (tptp.h @t74 @t18) @t90)))) % 0.36/0.59 (define @t94 () (not @t93)) % 0.36/0.59 (define @t95 () (not @t88)) % 0.36/0.59 (define @t96 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t74)) % 0.36/0.59 (define @t97 () (not @t96)) % 0.36/0.59 (define @t98 () (or @t97 @t95 @t94)) % 0.36/0.59 (define @t99 () (@list true)) % 0.36/0.59 (define @t100 () (@list @t98)) % 0.36/0.59 (define @t101 () (tptp.defused @t11 @t73)) % 0.36/0.59 (define @t102 () (not (tptp.bomb @t11 @t73))) % 0.36/0.59 (define @t103 () (not (|tptp.'$ki_accessible'| @t74 @t11))) % 0.36/0.59 (define @t104 () (forall @t25 (or @t92 (not (forall @t14 (or @t103 @t102 @t43 @t101)))))) % 0.36/0.59 (define @t105 () (not @t104)) % 0.36/0.59 (define @t106 () (or @t97 @t95 @t105)) % 0.36/0.59 (define @t107 () (@quantifiers_skolemize @t104 0)) % 0.36/0.59 (define @t108 () (forall @t14 (or @t103 @t102 (not (tptp.h @t11 @t107)) @t101))) % 0.36/0.59 (define @t109 () (not @t108)) % 0.36/0.59 (define @t110 () (|tptp.'$ki_exists_in_world_$i'| @t74 @t107)) % 0.36/0.59 (define @t111 () (not @t110)) % 0.36/0.59 (define @t112 () (or @t111 @t109)) % 0.36/0.59 (define @t113 () (@list @t112)) % 0.36/0.59 (define @t114 () (@list @t74)) % 0.36/0.59 (define @t115 () (tptp.h @t74 @t107)) % 0.36/0.59 (define @t116 () (and @t91 @t115 @t90)) % 0.36/0.59 (define @t117 () (or @t111 @t116)) % 0.36/0.59 (define @t118 () (@list false false)) % 0.36/0.59 (define @t119 () (@list false)) % 0.36/0.59 (define @t120 () (and @t91 (tptp.h @t74 @t73) @t90)) % 0.36/0.59 (define @t121 () (or @t95 @t120)) % 0.36/0.59 (define @t122 () (not @t120)) % 0.36/0.59 (define @t123 () (@list @t120)) % 0.36/0.59 (define @t124 () (not @t115)) % 0.36/0.59 (define @t125 () (not @t91)) % 0.36/0.59 (define @t126 () (|tptp.'$ki_accessible'| @t74 @t74)) % 0.36/0.59 (define @t127 () (not @t126)) % 0.36/0.59 (define @t128 () (or @t127 @t125 @t124 @t89)) % 0.36/0.59 (assume @p1 @t3) % 0.36/0.59 (assume @p2 (forall (@list @t1 @t5 @t4) (=> (and (|tptp.'$ki_accessible'| @t1 @t5) (|tptp.'$ki_accessible'| @t5 @t4)) (|tptp.'$ki_accessible'| @t1 @t4)))) % 0.36/0.59 (assume @p3 (forall (@list @t1 @t6) @t7)) % 0.36/0.59 (assume @p4 (forall @t2 (exists @t8 @t7))) % 0.36/0.59 (assume @p5 (forall @t2 (=> @t10 (exists (@list @t9) (and (|tptp.'$ki_exists_in_world_$i'| @t1 @t9) (tptp.bomb @t1 @t9)))))) % 0.36/0.59 (assume @p6 (exists (@list @t15) (and (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t15) (forall @t2 (=> @t10 (forall @t8 (=> @t7 (=> (and @t16 (tptp.h @t1 @t15)) (forall @t14 (=> @t13 @t12)))))))))) % 0.36/0.59 (assume @p7 @t30) % 0.36/0.59 (assume @p8 @t41) % 0.36/0.59 (assume @p9 true) % 0.36/0.59 (step @p10 :rule aci_norm :args ((= @t50 (or @t48 @t47 @t46)))) % 0.36/0.59 (step @p11 :rule cong :premises (@p10) :args (@t51)) % 0.36/0.59 (step @p12 :rule quant-merge-prenex :args ((= (forall @t2 @t53) @t51))) % 0.36/0.59 (step @p13 :rule alpha_equiv :args (@t54 (@list @t42) @t55)) % 0.36/0.59 (step @p14 :rule refl :args (@t48)) % 0.36/0.59 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t56)) % 0.36/0.59 (step @p16 :rule quant-miniscope-or :args ((= @t53 @t56))) % 0.36/0.59 (step @p17 :rule trans :premises (@p16 @p15)) % 0.36/0.59 (step @p18 :rule symm :premises (@p17)) % 0.36/0.59 (step @p19 :rule cong :premises (@p18) :args ((forall @t2 (or @t48 @t62)))) % 0.36/0.59 (step @p20 :rule trans :premises (@p19 @p12)) % 0.36/0.59 (step @p21 :rule trans :premises (@p20 @p11)) % 0.36/0.59 (step @p22 :rule bool-impl-elim :args (@t10 @t62)) % 0.36/0.59 (step @p23 :rule cong :premises (@p22) :args ((forall @t2 (=> @t10 @t62)))) % 0.36/0.59 (step @p24 :rule trans :premises (@p23 @p21)) % 0.36/0.59 (step @p25 :rule bool-impl-elim :args (@t7 @t60)) % 0.36/0.59 (step @p26 :rule cong :premises (@p25) :args ((forall @t8 (=> @t7 @t60)))) % 0.36/0.59 (step @p27 :rule bool-and-de-morgan :args (@t23 @t59 true)) % 0.36/0.59 (step @p28 :rule cong :premises (@p27) :args (@t64)) % 0.36/0.59 (step @p29 :rule cong :premises (@p28) :args (@t65)) % 0.36/0.59 (step @p30 :rule exists-elim :args ((= (exists @t25 @t63) @t65))) % 0.36/0.59 (step @p31 :rule trans :premises (@p30 @p29)) % 0.36/0.59 (step @p32 :rule aci_norm :args ((= (or @t44 @t66) @t58))) % 0.36/0.59 (step @p33 :rule aci_norm :args ((= (or (or @t57 @t43) @t17) @t66))) % 0.36/0.59 (step @p34 :rule refl :args (@t17)) % 0.36/0.59 (step @p35 :rule bool-and-de-morgan :args (@t12 @t19 true)) % 0.36/0.59 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t20) @t17))) % 0.36/0.59 (step @p37 :rule trans :premises (@p36 @p33)) % 0.36/0.59 (step @p38 :rule bool-impl-elim :args (@t20 @t17)) % 0.36/0.59 (step @p39 :rule trans :premises (@p38 @p37)) % 0.36/0.59 (step @p40 :rule refl :args (@t44)) % 0.36/0.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t44 @t21))) % 0.36/0.59 (step @p42 :rule trans :premises (@p41 @p32)) % 0.36/0.59 (step @p43 :rule bool-impl-elim :args (@t13 @t21)) % 0.36/0.59 (step @p44 :rule trans :premises (@p43 @p42)) % 0.36/0.59 (step @p45 :rule cong :premises (@p44) :args (@t22)) % 0.36/0.59 (step @p46 :rule refl :args (@t23)) % 0.36/0.59 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t24)) % 0.36/0.59 (step @p48 :rule cong :premises (@p47) :args (@t26)) % 0.36/0.59 (step @p49 :rule trans :premises (@p48 @p31)) % 0.36/0.59 (step @p50 :rule refl :args (@t7)) % 0.36/0.59 (step @p51 :rule cong :premises (@p50 @p49) :args (@t27)) % 0.36/0.59 (step @p52 :rule cong :premises (@p51) :args (@t28)) % 0.36/0.59 (step @p53 :rule trans :premises (@p52 @p26)) % 0.36/0.59 (step @p54 :rule refl :args (@t10)) % 0.36/0.59 (step @p55 :rule cong :premises (@p54 @p53) :args (@t29)) % 0.36/0.59 (step @p56 :rule cong :premises (@p55) :args (@t30)) % 0.36/0.59 (step @p57 :rule trans :premises (@p56 @p24)) % 0.36/0.59 (step @p58 :rule eq_resolve :premises (@p7 @p57)) % 0.36/0.59 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t74 @t73))) % 0.36/0.59 (step @p60 :rule aci_norm :args ((= @t76 @t70))) % 0.36/0.59 (step @p61 :rule cong :premises (@p60) :args (@t77)) % 0.36/0.59 (step @p62 :rule quant-merge-prenex :args ((= (forall @t2 @t79) @t77))) % 0.36/0.59 (step @p63 :rule alpha_equiv :args (@t80 (@list @t67) @t55)) % 0.36/0.59 (step @p64 :rule nary_cong :premises (@p14 @p63) :args (@t81)) % 0.36/0.59 (step @p65 :rule quant-miniscope-or :args ((= @t79 @t81))) % 0.36/0.59 (step @p66 :rule trans :premises (@p65 @p64)) % 0.36/0.59 (step @p67 :rule symm :premises (@p66)) % 0.36/0.59 (step @p68 :rule cong :premises (@p67) :args ((forall @t2 (or @t48 @t85)))) % 0.36/0.59 (step @p69 :rule trans :premises (@p68 @p62)) % 0.36/0.59 (step @p70 :rule trans :premises (@p69 @p61)) % 0.36/0.59 (step @p71 :rule bool-impl-elim :args (@t10 @t85)) % 0.36/0.59 (step @p72 :rule cong :premises (@p71) :args ((forall @t2 (=> @t10 @t85)))) % 0.36/0.59 (step @p73 :rule trans :premises (@p72 @p70)) % 0.36/0.59 (step @p74 :rule bool-impl-elim :args (@t7 @t84)) % 0.36/0.59 (step @p75 :rule cong :premises (@p74) :args ((forall @t8 (=> @t7 @t84)))) % 0.36/0.59 (step @p76 :rule aci_norm :args ((= (and @t33 @t82) @t83))) % 0.36/0.59 (step @p77 :rule bool-implies-de-morgan :args (@t33 @t31)) % 0.36/0.59 (step @p78 :rule trans :premises (@p77 @p76)) % 0.36/0.59 (step @p79 :rule refl :args (@t45)) % 0.36/0.59 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t45 (not @t34)))) % 0.36/0.59 (step @p81 :rule bool-and-de-morgan :args (@t23 @t34 true)) % 0.36/0.59 (step @p82 :rule trans :premises (@p81 @p80)) % 0.36/0.59 (step @p83 :rule cong :premises (@p82) :args (@t86)) % 0.36/0.59 (step @p84 :rule cong :premises (@p83) :args (@t87)) % 0.36/0.59 (step @p85 :rule exists-elim :args ((= @t36 @t87))) % 0.36/0.59 (step @p86 :rule trans :premises (@p85 @p84)) % 0.36/0.59 (step @p87 :rule cong :premises (@p50 @p86) :args (@t37)) % 0.36/0.59 (step @p88 :rule cong :premises (@p87) :args (@t38)) % 0.36/0.59 (step @p89 :rule trans :premises (@p88 @p75)) % 0.36/0.59 (step @p90 :rule cong :premises (@p54 @p89) :args (@t39)) % 0.36/0.59 (step @p91 :rule cong :premises (@p90) :args (@t40)) % 0.36/0.59 (step @p92 :rule trans :premises (@p91 @p73)) % 0.36/0.59 (step @p93 :rule cong :premises (@p92) :args (@t41)) % 0.36/0.59 (step @p94 :rule eq_resolve :premises (@p8 @p93)) % 0.36/0.59 (step @p95 :rule skolemize :premises (@p94)) % 0.36/0.59 (step @p96 :rule bool-double-not-elim :args (@t88)) % 0.36/0.59 (step @p97 :rule refl :args (@t98)) % 0.36/0.59 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t98 (not @t95)))) % 0.36/0.59 (step @p99 :rule cnf_or_neg :args (@t98 1)) % 0.36/0.59 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.36/0.59 (step @p101 :rule reordering :premises (@p100) :args ((or @t88 @t98))) % 0.36/0.59 (step @p102 :rule chain_m_resolution :premises (@p101 @p95) :args (@t88 @t99 @t100)) % 0.36/0.59 (step @p103 :rule bool-double-not-elim :args (@t96)) % 0.36/0.59 (step @p104 :rule nary_cong :premises (@p97 @p103) :args ((or @t98 (not @t97)))) % 0.36/0.59 (step @p105 :rule cnf_or_neg :args (@t98 0)) % 0.36/0.59 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.36/0.59 (step @p107 :rule reordering :premises (@p106) :args ((or @t96 @t98))) % 0.36/0.59 (step @p108 :rule chain_m_resolution :premises (@p107 @p95) :args (@t96 @t99 @t100)) % 0.36/0.59 (step @p109 :rule cnf_or_pos :args (@t106)) % 0.36/0.59 (step @p110 :rule reordering :premises (@p109) :args ((or @t97 @t95 @t105 (not @t106)))) % 0.36/0.59 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p102 @p59) :args (@t105 (@list false false false) (@list @t96 @t88 @t106))) % 0.36/0.59 (step @p112 :rule skolemize :premises (@p111)) % 0.36/0.59 (step @p113 :rule bool-double-not-elim :args (@t108)) % 0.36/0.59 (step @p114 :rule refl :args (@t112)) % 0.36/0.59 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t112 (not @t109)))) % 0.36/0.59 (step @p116 :rule cnf_or_neg :args (@t112 1)) % 0.36/0.59 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.36/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t108 @t112))) % 0.36/0.59 (step @p119 :rule chain_m_resolution :premises (@p118 @p112) :args (@t108 @t99 @t113)) % 0.36/0.59 (step @p120 :rule instantiate :premises (@p119) :args (@t114)) % 0.36/0.59 (step @p121 :rule bool-double-not-elim :args (@t93)) % 0.36/0.59 (step @p122 :rule nary_cong :premises (@p97 @p121) :args ((or @t98 (not @t94)))) % 0.36/0.59 (step @p123 :rule cnf_or_neg :args (@t98 2)) % 0.36/0.59 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.36/0.59 (step @p125 :rule reordering :premises (@p124) :args ((or @t93 @t98))) % 0.36/0.59 (step @p126 :rule chain_m_resolution :premises (@p125 @p95) :args (@t93 @t99 @t100)) % 0.36/0.59 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t107))) % 0.36/0.59 (step @p128 :rule bool-double-not-elim :args (@t110)) % 0.36/0.59 (step @p129 :rule nary_cong :premises (@p114 @p128) :args ((or @t112 (not @t111)))) % 0.36/0.59 (step @p130 :rule cnf_or_neg :args (@t112 0)) % 0.36/0.59 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.36/0.59 (step @p132 :rule reordering :premises (@p131) :args ((or @t110 @t112))) % 0.36/0.59 (step @p133 :rule chain_m_resolution :premises (@p132 @p112) :args (@t110 @t99 @t113)) % 0.36/0.59 (step @p134 :rule cnf_or_pos :args (@t117)) % 0.36/0.59 (step @p135 :rule reordering :premises (@p134) :args ((or @t111 @t116 (not @t117)))) % 0.36/0.59 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p127) :args (@t116 @t118 (@list @t110 @t117))) % 0.36/0.59 (step @p137 :rule cnf_and_pos :args (@t116 1)) % 0.36/0.59 (step @p138 :rule reordering :premises (@p137) :args ((or @t115 (not @t116)))) % 0.36/0.59 (step @p139 :rule chain_m_resolution :premises (@p138 @p136) :args (@t115 @t119 (@list @t116))) % 0.36/0.59 (step @p140 :rule instantiate :premises (@p126) :args ((@list @t73))) % 0.36/0.59 (step @p141 :rule cnf_or_pos :args (@t121)) % 0.36/0.59 (step @p142 :rule reordering :premises (@p141) :args ((or @t95 @t120 (not @t121)))) % 0.36/0.59 (step @p143 :rule chain_m_resolution :premises (@p142 @p102 @p140) :args (@t120 @t118 (@list @t88 @t121))) % 0.36/0.59 (step @p144 :rule cnf_and_pos :args (@t120 0)) % 0.36/0.59 (step @p145 :rule reordering :premises (@p144) :args ((or @t91 @t122))) % 0.36/0.59 (step @p146 :rule chain_m_resolution :premises (@p145 @p143) :args (@t91 @t119 @t123)) % 0.36/0.59 (step @p147 :rule cnf_and_pos :args (@t120 2)) % 0.36/0.59 (step @p148 :rule reordering :premises (@p147) :args ((or @t90 @t122))) % 0.36/0.59 (step @p149 :rule chain_m_resolution :premises (@p148 @p143) :args (@t90 @t119 @t123)) % 0.36/0.59 (step @p150 :rule cnf_or_pos :args (@t128)) % 0.36/0.59 (step @p151 :rule reordering :premises (@p150) :args ((or @t89 @t125 @t127 @t124 (not @t128)))) % 0.36/0.59 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p146 @p139 @p120) :args (@t127 (@list true false false false) (@list @t89 @t91 @t115 @t128))) % 0.36/0.59 (assume-push @p159 @t3) % 0.36/0.59 (step @p154 :rule instantiate :premises (@p1) :args (@t114)) % 0.36/0.59 (step-pop @p160 :rule scope :premises (@p154)) % 0.36/0.59 (step @p155 :rule process_scope :premises (@p160) :args (@t126)) % 0.36/0.59 (step @p157 :rule implies_elim :premises (@p155)) % 0.36/0.59 (step @p158 false :rule chain_m_resolution :premises (@p157 @p152 @p1) :args (false (@list true false) (@list @t126 @t3))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------