%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA053_2 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:43:30 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_2 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:04:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----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'| $$unsorted Bool)) % 0.36/0.59 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.36/0.59 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.36/0.59 (define @t2 () (@list @t1)) % 0.36/0.59 (define @t3 () (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 0.36/0.59 (define @t4 () (@var "X" $$unsorted)) % 0.36/0.59 (define @t5 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t4)) % 0.36/0.59 (define @t6 () (@list @t4)) % 0.36/0.59 (define @t7 () (@var "B" $$unsorted)) % 0.36/0.59 (define @t8 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 0.36/0.59 (define @t9 () (@var "W0" |tptp.'$ki_world'|)) % 0.36/0.59 (define @t10 () (tptp.bomb @t9 @t4)) % 0.36/0.59 (define @t11 () (|tptp.'$ki_accessible'| @t1 @t9)) % 0.36/0.59 (define @t12 () (@list @t9)) % 0.36/0.59 (define @t13 () (@var "A" $$unsorted)) % 0.36/0.59 (define @t14 () (tptp.bomb @t1 @t4)) % 0.36/0.59 (define @t15 () (tptp.defused @t9 @t4)) % 0.36/0.59 (define @t16 () (@var "D" $$unsorted)) % 0.36/0.59 (define @t17 () (tptp.h @t9 @t16)) % 0.36/0.59 (define @t18 () (and @t10 @t17)) % 0.36/0.59 (define @t19 () (=> @t18 @t15)) % 0.36/0.59 (define @t20 () (forall @t12 (=> @t11 @t19))) % 0.36/0.59 (define @t21 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t16)) % 0.36/0.59 (define @t22 () (and @t21 @t20)) % 0.36/0.59 (define @t23 () (@list @t16)) % 0.36/0.59 (define @t24 () (exists @t23 @t22)) % 0.36/0.59 (define @t25 () (=> @t5 @t24)) % 0.36/0.59 (define @t26 () (forall @t6 @t25)) % 0.36/0.59 (define @t27 () (=> @t8 @t26)) % 0.36/0.59 (define @t28 () (forall @t2 @t27)) % 0.36/0.59 (define @t29 () (tptp.defused @t1 @t4)) % 0.36/0.59 (define @t30 () (tptp.h @t1 @t16)) % 0.36/0.59 (define @t31 () (and @t14 @t30)) % 0.36/0.59 (define @t32 () (=> @t31 @t29)) % 0.36/0.59 (define @t33 () (and @t21 @t32)) % 0.36/0.59 (define @t34 () (exists @t23 @t33)) % 0.36/0.59 (define @t35 () (=> @t5 @t34)) % 0.36/0.59 (define @t36 () (forall @t6 @t35)) % 0.36/0.59 (define @t37 () (=> @t8 @t36)) % 0.36/0.59 (define @t38 () (forall @t2 @t37)) % 0.36/0.59 (define @t39 () (not @t38)) % 0.36/0.59 (define @t40 () (@var "BOUND_VARIABLE_7585" $$unsorted)) % 0.36/0.59 (define @t41 () (not @t17)) % 0.36/0.59 (define @t42 () (not @t11)) % 0.36/0.59 (define @t43 () (not @t21)) % 0.36/0.59 (define @t44 () (not (forall @t23 (or @t43 (not (forall @t12 (or @t42 (not (tptp.bomb @t9 @t40)) @t41 (tptp.defused @t9 @t40)))))))) % 0.36/0.59 (define @t45 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t40))) % 0.36/0.59 (define @t46 () (not @t8)) % 0.36/0.59 (define @t47 () (or @t45 @t44)) % 0.36/0.59 (define @t48 () (or @t46 @t47)) % 0.36/0.59 (define @t49 () (forall (@list @t1 @t40) @t48)) % 0.36/0.59 (define @t50 () (@list @t40)) % 0.36/0.59 (define @t51 () (forall @t50 @t48)) % 0.36/0.59 (define @t52 () (forall @t50 @t47)) % 0.36/0.59 (define @t53 () (@list @t4)) % 0.36/0.59 (define @t54 () (or @t46 @t52)) % 0.36/0.59 (define @t55 () (not @t10)) % 0.36/0.59 (define @t56 () (or @t42 @t55 @t41 @t15)) % 0.36/0.59 (define @t57 () (forall @t12 @t56)) % 0.36/0.59 (define @t58 () (not (forall @t23 (or @t43 (not @t57))))) % 0.36/0.59 (define @t59 () (not @t5)) % 0.36/0.59 (define @t60 () (forall @t6 (or @t59 @t58))) % 0.36/0.59 (define @t61 () (and @t21 @t57)) % 0.36/0.59 (define @t62 () (forall @t23 (not @t61))) % 0.36/0.59 (define @t63 () (not @t62)) % 0.36/0.59 (define @t64 () (or @t55 @t41 @t15)) % 0.36/0.59 (define @t65 () (@var "BOUND_VARIABLE_7622" $$unsorted)) % 0.36/0.59 (define @t66 () (not (forall @t23 (or @t43 (and (tptp.bomb @t1 @t65) @t30 (not (tptp.defused @t1 @t65))))))) % 0.36/0.59 (define @t67 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t65))) % 0.36/0.59 (define @t68 () (or @t46 @t67 @t66)) % 0.36/0.59 (define @t69 () (@list @t1 @t65)) % 0.36/0.59 (define @t70 () (forall @t69 @t68)) % 0.36/0.59 (define @t71 () (@quantifiers_skolemize @t70 1)) % 0.36/0.59 (define @t72 () (@quantifiers_skolemize @t70 0)) % 0.36/0.59 (define @t73 () (or @t67 @t66)) % 0.36/0.59 (define @t74 () (or @t46 @t73)) % 0.36/0.59 (define @t75 () (forall @t69 @t74)) % 0.36/0.59 (define @t76 () (@list @t65)) % 0.36/0.59 (define @t77 () (forall @t76 @t74)) % 0.36/0.59 (define @t78 () (forall @t76 @t73)) % 0.36/0.59 (define @t79 () (or @t46 @t78)) % 0.36/0.59 (define @t80 () (not @t29)) % 0.36/0.59 (define @t81 () (and @t14 @t30 @t80)) % 0.36/0.59 (define @t82 () (not (forall @t23 (or @t43 @t81)))) % 0.36/0.59 (define @t83 () (forall @t6 (or @t59 @t82))) % 0.36/0.59 (define @t84 () (forall @t23 (not @t33))) % 0.36/0.59 (define @t85 () (not @t84)) % 0.36/0.59 (define @t86 () (|tptp.'$ki_exists_in_world_$i'| @t72 @t71)) % 0.36/0.59 (define @t87 () (tptp.defused @t72 @t71)) % 0.36/0.59 (define @t88 () (not @t87)) % 0.36/0.59 (define @t89 () (tptp.bomb @t72 @t71)) % 0.36/0.59 (define @t90 () (not (|tptp.'$ki_exists_in_world_$i'| @t72 @t16))) % 0.36/0.59 (define @t91 () (forall @t23 (or @t90 (and @t89 (tptp.h @t72 @t16) @t88)))) % 0.36/0.59 (define @t92 () (not @t91)) % 0.36/0.59 (define @t93 () (not @t86)) % 0.36/0.59 (define @t94 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t72)) % 0.36/0.59 (define @t95 () (not @t94)) % 0.36/0.59 (define @t96 () (or @t95 @t93 @t92)) % 0.36/0.59 (define @t97 () (@list true)) % 0.36/0.59 (define @t98 () (@list @t96)) % 0.36/0.59 (define @t99 () (tptp.defused @t9 @t71)) % 0.36/0.59 (define @t100 () (not (tptp.bomb @t9 @t71))) % 0.36/0.59 (define @t101 () (not (|tptp.'$ki_accessible'| @t72 @t9))) % 0.36/0.59 (define @t102 () (forall @t23 (or @t90 (not (forall @t12 (or @t101 @t100 @t41 @t99)))))) % 0.36/0.59 (define @t103 () (not @t102)) % 0.36/0.59 (define @t104 () (or @t95 @t93 @t103)) % 0.36/0.59 (define @t105 () (@quantifiers_skolemize @t102 0)) % 0.36/0.59 (define @t106 () (forall @t12 (or @t101 @t100 (not (tptp.h @t9 @t105)) @t99))) % 0.36/0.59 (define @t107 () (not @t106)) % 0.36/0.59 (define @t108 () (|tptp.'$ki_exists_in_world_$i'| @t72 @t105)) % 0.36/0.59 (define @t109 () (not @t108)) % 0.36/0.59 (define @t110 () (or @t109 @t107)) % 0.36/0.59 (define @t111 () (@list @t110)) % 0.36/0.59 (define @t112 () (@list @t72)) % 0.36/0.59 (define @t113 () (tptp.h @t72 @t105)) % 0.36/0.59 (define @t114 () (and @t89 @t113 @t88)) % 0.36/0.59 (define @t115 () (or @t109 @t114)) % 0.36/0.59 (define @t116 () (@list false false)) % 0.36/0.59 (define @t117 () (@list false)) % 0.36/0.59 (define @t118 () (and @t89 (tptp.h @t72 @t71) @t88)) % 0.36/0.59 (define @t119 () (or @t93 @t118)) % 0.36/0.59 (define @t120 () (not @t118)) % 0.36/0.59 (define @t121 () (@list @t118)) % 0.36/0.59 (define @t122 () (not @t113)) % 0.36/0.59 (define @t123 () (not @t89)) % 0.36/0.59 (define @t124 () (|tptp.'$ki_accessible'| @t72 @t72)) % 0.36/0.59 (define @t125 () (not @t124)) % 0.36/0.59 (define @t126 () (or @t125 @t123 @t122 @t87)) % 0.36/0.59 (assume @p1 @t3) % 0.36/0.59 (assume @p2 (forall (@list @t1 @t4) @t5)) % 0.36/0.59 (assume @p3 (forall @t2 (exists @t6 @t5))) % 0.36/0.59 (assume @p4 (forall @t2 (=> @t8 (exists (@list @t7) (and (|tptp.'$ki_exists_in_world_$i'| @t1 @t7) (tptp.bomb @t1 @t7)))))) % 0.36/0.59 (assume @p5 (exists (@list @t13) (and (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t13) (forall @t2 (=> @t8 (forall @t6 (=> @t5 (=> (and @t14 (tptp.h @t1 @t13)) (forall @t12 (=> @t11 @t10)))))))))) % 0.36/0.59 (assume @p6 @t28) % 0.36/0.59 (assume @p7 @t39) % 0.36/0.59 (assume @p8 true) % 0.36/0.59 (step @p9 :rule aci_norm :args ((= @t48 (or @t46 @t45 @t44)))) % 0.36/0.59 (step @p10 :rule cong :premises (@p9) :args (@t49)) % 0.36/0.59 (step @p11 :rule quant-merge-prenex :args ((= (forall @t2 @t51) @t49))) % 0.36/0.59 (step @p12 :rule alpha_equiv :args (@t52 (@list @t40) @t53)) % 0.36/0.59 (step @p13 :rule refl :args (@t46)) % 0.36/0.59 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t54)) % 0.36/0.59 (step @p15 :rule quant-miniscope-or :args ((= @t51 @t54))) % 0.36/0.59 (step @p16 :rule trans :premises (@p15 @p14)) % 0.36/0.59 (step @p17 :rule symm :premises (@p16)) % 0.36/0.59 (step @p18 :rule cong :premises (@p17) :args ((forall @t2 (or @t46 @t60)))) % 0.36/0.59 (step @p19 :rule trans :premises (@p18 @p11)) % 0.36/0.59 (step @p20 :rule trans :premises (@p19 @p10)) % 0.36/0.59 (step @p21 :rule bool-impl-elim :args (@t8 @t60)) % 0.36/0.59 (step @p22 :rule cong :premises (@p21) :args ((forall @t2 (=> @t8 @t60)))) % 0.36/0.59 (step @p23 :rule trans :premises (@p22 @p20)) % 0.36/0.59 (step @p24 :rule bool-impl-elim :args (@t5 @t58)) % 0.36/0.59 (step @p25 :rule cong :premises (@p24) :args ((forall @t6 (=> @t5 @t58)))) % 0.36/0.59 (step @p26 :rule bool-and-de-morgan :args (@t21 @t57 true)) % 0.36/0.59 (step @p27 :rule cong :premises (@p26) :args (@t62)) % 0.36/0.59 (step @p28 :rule cong :premises (@p27) :args (@t63)) % 0.36/0.59 (step @p29 :rule exists-elim :args ((= (exists @t23 @t61) @t63))) % 0.36/0.59 (step @p30 :rule trans :premises (@p29 @p28)) % 0.36/0.59 (step @p31 :rule aci_norm :args ((= (or @t42 @t64) @t56))) % 0.36/0.59 (step @p32 :rule aci_norm :args ((= (or (or @t55 @t41) @t15) @t64))) % 0.36/0.59 (step @p33 :rule refl :args (@t15)) % 0.36/0.59 (step @p34 :rule bool-and-de-morgan :args (@t10 @t17 true)) % 0.36/0.59 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t18) @t15))) % 0.36/0.59 (step @p36 :rule trans :premises (@p35 @p32)) % 0.36/0.59 (step @p37 :rule bool-impl-elim :args (@t18 @t15)) % 0.36/0.59 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.59 (step @p39 :rule refl :args (@t42)) % 0.36/0.59 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t42 @t19))) % 0.36/0.59 (step @p41 :rule trans :premises (@p40 @p31)) % 0.36/0.59 (step @p42 :rule bool-impl-elim :args (@t11 @t19)) % 0.36/0.59 (step @p43 :rule trans :premises (@p42 @p41)) % 0.36/0.59 (step @p44 :rule cong :premises (@p43) :args (@t20)) % 0.36/0.59 (step @p45 :rule refl :args (@t21)) % 0.36/0.59 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t22)) % 0.36/0.59 (step @p47 :rule cong :premises (@p46) :args (@t24)) % 0.36/0.59 (step @p48 :rule trans :premises (@p47 @p30)) % 0.36/0.59 (step @p49 :rule refl :args (@t5)) % 0.36/0.59 (step @p50 :rule cong :premises (@p49 @p48) :args (@t25)) % 0.36/0.59 (step @p51 :rule cong :premises (@p50) :args (@t26)) % 0.36/0.59 (step @p52 :rule trans :premises (@p51 @p25)) % 0.36/0.59 (step @p53 :rule refl :args (@t8)) % 0.36/0.59 (step @p54 :rule cong :premises (@p53 @p52) :args (@t27)) % 0.36/0.59 (step @p55 :rule cong :premises (@p54) :args (@t28)) % 0.36/0.59 (step @p56 :rule trans :premises (@p55 @p23)) % 0.36/0.59 (step @p57 :rule eq_resolve :premises (@p6 @p56)) % 0.36/0.59 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t72 @t71))) % 0.36/0.59 (step @p59 :rule aci_norm :args ((= @t74 @t68))) % 0.36/0.59 (step @p60 :rule cong :premises (@p59) :args (@t75)) % 0.36/0.59 (step @p61 :rule quant-merge-prenex :args ((= (forall @t2 @t77) @t75))) % 0.36/0.59 (step @p62 :rule alpha_equiv :args (@t78 (@list @t65) @t53)) % 0.36/0.59 (step @p63 :rule nary_cong :premises (@p13 @p62) :args (@t79)) % 0.36/0.59 (step @p64 :rule quant-miniscope-or :args ((= @t77 @t79))) % 0.36/0.59 (step @p65 :rule trans :premises (@p64 @p63)) % 0.36/0.59 (step @p66 :rule symm :premises (@p65)) % 0.36/0.59 (step @p67 :rule cong :premises (@p66) :args ((forall @t2 (or @t46 @t83)))) % 0.36/0.59 (step @p68 :rule trans :premises (@p67 @p61)) % 0.36/0.59 (step @p69 :rule trans :premises (@p68 @p60)) % 0.36/0.59 (step @p70 :rule bool-impl-elim :args (@t8 @t83)) % 0.36/0.59 (step @p71 :rule cong :premises (@p70) :args ((forall @t2 (=> @t8 @t83)))) % 0.36/0.59 (step @p72 :rule trans :premises (@p71 @p69)) % 0.36/0.59 (step @p73 :rule bool-impl-elim :args (@t5 @t82)) % 0.36/0.59 (step @p74 :rule cong :premises (@p73) :args ((forall @t6 (=> @t5 @t82)))) % 0.36/0.59 (step @p75 :rule aci_norm :args ((= (and @t31 @t80) @t81))) % 0.36/0.59 (step @p76 :rule bool-implies-de-morgan :args (@t31 @t29)) % 0.36/0.59 (step @p77 :rule trans :premises (@p76 @p75)) % 0.36/0.59 (step @p78 :rule refl :args (@t43)) % 0.36/0.59 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t43 (not @t32)))) % 0.36/0.59 (step @p80 :rule bool-and-de-morgan :args (@t21 @t32 true)) % 0.36/0.60 (step @p81 :rule trans :premises (@p80 @p79)) % 0.36/0.60 (step @p82 :rule cong :premises (@p81) :args (@t84)) % 0.36/0.60 (step @p83 :rule cong :premises (@p82) :args (@t85)) % 0.36/0.60 (step @p84 :rule exists-elim :args ((= @t34 @t85))) % 0.36/0.60 (step @p85 :rule trans :premises (@p84 @p83)) % 0.36/0.60 (step @p86 :rule cong :premises (@p49 @p85) :args (@t35)) % 0.36/0.60 (step @p87 :rule cong :premises (@p86) :args (@t36)) % 0.36/0.60 (step @p88 :rule trans :premises (@p87 @p74)) % 0.36/0.60 (step @p89 :rule cong :premises (@p53 @p88) :args (@t37)) % 0.36/0.60 (step @p90 :rule cong :premises (@p89) :args (@t38)) % 0.36/0.60 (step @p91 :rule trans :premises (@p90 @p72)) % 0.36/0.60 (step @p92 :rule cong :premises (@p91) :args (@t39)) % 0.36/0.60 (step @p93 :rule eq_resolve :premises (@p7 @p92)) % 0.36/0.60 (step @p94 :rule skolemize :premises (@p93)) % 0.36/0.60 (step @p95 :rule bool-double-not-elim :args (@t86)) % 0.36/0.60 (step @p96 :rule refl :args (@t96)) % 0.36/0.60 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t96 (not @t93)))) % 0.36/0.60 (step @p98 :rule cnf_or_neg :args (@t96 1)) % 0.36/0.60 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.36/0.60 (step @p100 :rule reordering :premises (@p99) :args ((or @t86 @t96))) % 0.36/0.60 (step @p101 :rule chain_m_resolution :premises (@p100 @p94) :args (@t86 @t97 @t98)) % 0.36/0.60 (step @p102 :rule bool-double-not-elim :args (@t94)) % 0.36/0.60 (step @p103 :rule nary_cong :premises (@p96 @p102) :args ((or @t96 (not @t95)))) % 0.36/0.60 (step @p104 :rule cnf_or_neg :args (@t96 0)) % 0.36/0.60 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.36/0.60 (step @p106 :rule reordering :premises (@p105) :args ((or @t94 @t96))) % 0.36/0.60 (step @p107 :rule chain_m_resolution :premises (@p106 @p94) :args (@t94 @t97 @t98)) % 0.36/0.60 (step @p108 :rule cnf_or_pos :args (@t104)) % 0.36/0.60 (step @p109 :rule reordering :premises (@p108) :args ((or @t95 @t93 @t103 (not @t104)))) % 0.36/0.60 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p101 @p58) :args (@t103 (@list false false false) (@list @t94 @t86 @t104))) % 0.36/0.60 (step @p111 :rule skolemize :premises (@p110)) % 0.36/0.60 (step @p112 :rule bool-double-not-elim :args (@t106)) % 0.36/0.60 (step @p113 :rule refl :args (@t110)) % 0.36/0.60 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t110 (not @t107)))) % 0.36/0.60 (step @p115 :rule cnf_or_neg :args (@t110 1)) % 0.36/0.60 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.36/0.60 (step @p117 :rule reordering :premises (@p116) :args ((or @t106 @t110))) % 0.36/0.60 (step @p118 :rule chain_m_resolution :premises (@p117 @p111) :args (@t106 @t97 @t111)) % 0.36/0.60 (step @p119 :rule instantiate :premises (@p118) :args (@t112)) % 0.36/0.60 (step @p120 :rule bool-double-not-elim :args (@t91)) % 0.36/0.60 (step @p121 :rule nary_cong :premises (@p96 @p120) :args ((or @t96 (not @t92)))) % 0.36/0.60 (step @p122 :rule cnf_or_neg :args (@t96 2)) % 0.36/0.60 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.36/0.60 (step @p124 :rule reordering :premises (@p123) :args ((or @t91 @t96))) % 0.36/0.60 (step @p125 :rule chain_m_resolution :premises (@p124 @p94) :args (@t91 @t97 @t98)) % 0.36/0.60 (step @p126 :rule instantiate :premises (@p125) :args ((@list @t105))) % 0.36/0.60 (step @p127 :rule bool-double-not-elim :args (@t108)) % 0.36/0.60 (step @p128 :rule nary_cong :premises (@p113 @p127) :args ((or @t110 (not @t109)))) % 0.36/0.60 (step @p129 :rule cnf_or_neg :args (@t110 0)) % 0.36/0.60 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.36/0.60 (step @p131 :rule reordering :premises (@p130) :args ((or @t108 @t110))) % 0.36/0.60 (step @p132 :rule chain_m_resolution :premises (@p131 @p111) :args (@t108 @t97 @t111)) % 0.36/0.60 (step @p133 :rule cnf_or_pos :args (@t115)) % 0.36/0.60 (step @p134 :rule reordering :premises (@p133) :args ((or @t109 @t114 (not @t115)))) % 0.36/0.60 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p126) :args (@t114 @t116 (@list @t108 @t115))) % 0.36/0.60 (step @p136 :rule cnf_and_pos :args (@t114 1)) % 0.36/0.60 (step @p137 :rule reordering :premises (@p136) :args ((or @t113 (not @t114)))) % 0.36/0.60 (step @p138 :rule chain_m_resolution :premises (@p137 @p135) :args (@t113 @t117 (@list @t114))) % 0.36/0.60 (step @p139 :rule instantiate :premises (@p125) :args ((@list @t71))) % 0.36/0.60 (step @p140 :rule cnf_or_pos :args (@t119)) % 0.36/0.60 (step @p141 :rule reordering :premises (@p140) :args ((or @t93 @t118 (not @t119)))) % 0.36/0.60 (step @p142 :rule chain_m_resolution :premises (@p141 @p101 @p139) :args (@t118 @t116 (@list @t86 @t119))) % 0.36/0.60 (step @p143 :rule cnf_and_pos :args (@t118 0)) % 0.36/0.60 (step @p144 :rule reordering :premises (@p143) :args ((or @t89 @t120))) % 0.36/0.60 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t89 @t117 @t121)) % 0.36/0.60 (step @p146 :rule cnf_and_pos :args (@t118 2)) % 0.36/0.60 (step @p147 :rule reordering :premises (@p146) :args ((or @t88 @t120))) % 0.36/0.60 (step @p148 :rule chain_m_resolution :premises (@p147 @p142) :args (@t88 @t117 @t121)) % 0.36/0.60 (step @p149 :rule cnf_or_pos :args (@t126)) % 0.36/0.60 (step @p150 :rule reordering :premises (@p149) :args ((or @t87 @t123 @t125 @t122 (not @t126)))) % 0.36/0.60 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p145 @p138 @p119) :args (@t125 (@list true false false false) (@list @t87 @t89 @t113 @t126))) % 0.36/0.60 (assume-push @p158 @t3) % 0.36/0.60 (step @p153 :rule instantiate :premises (@p1) :args (@t112)) % 0.36/0.60 (step-pop @p159 :rule scope :premises (@p153)) % 0.36/0.60 (step @p154 :rule process_scope :premises (@p159) :args (@t124)) % 0.36/0.60 (step @p156 :rule implies_elim :premises (@p154)) % 0.36/0.60 (step @p157 false :rule chain_m_resolution :premises (@p156 @p151 @p1) :args (false (@list true false) (@list @t124 @t3))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------