%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA053_5 : 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 : n028.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 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : PLA053_5 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 13:05:20 EDT 2026 % 0.17/0.36 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort |tptp.'$ki_world'| 0) % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.defused (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.h (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.38/0.60 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.38/0.60 (declare-const tptp.bomb (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.38/0.60 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.38/0.60 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.38/0.60 (define @t1 () (@var "V" |tptp.'$ki_world'|)) % 0.38/0.60 (define @t2 () (@var "W" |tptp.'$ki_world'|)) % 0.38/0.60 (define @t3 () (forall (@list @t2 @t1) (|tptp.'$ki_accessible'| @t2 @t1))) % 0.38/0.60 (define @t4 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t5 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t4)) % 0.38/0.60 (define @t6 () (@list @t4)) % 0.38/0.60 (define @t7 () (@list @t2)) % 0.38/0.60 (define @t8 () (@var "B" $$unsorted)) % 0.38/0.60 (define @t9 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2)) % 0.38/0.60 (define @t10 () (@var "W0" |tptp.'$ki_world'|)) % 0.38/0.60 (define @t11 () (tptp.bomb @t10 @t4)) % 0.38/0.60 (define @t12 () (|tptp.'$ki_accessible'| @t2 @t10)) % 0.38/0.60 (define @t13 () (@list @t10)) % 0.38/0.60 (define @t14 () (@var "A" $$unsorted)) % 0.38/0.60 (define @t15 () (tptp.bomb @t2 @t4)) % 0.38/0.60 (define @t16 () (tptp.defused @t10 @t4)) % 0.38/0.60 (define @t17 () (@var "D" $$unsorted)) % 0.38/0.60 (define @t18 () (tptp.h @t10 @t17)) % 0.38/0.60 (define @t19 () (and @t11 @t18)) % 0.38/0.60 (define @t20 () (=> @t19 @t16)) % 0.38/0.60 (define @t21 () (forall @t13 (=> @t12 @t20))) % 0.38/0.60 (define @t22 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t17)) % 0.38/0.60 (define @t23 () (and @t22 @t21)) % 0.38/0.60 (define @t24 () (@list @t17)) % 0.38/0.60 (define @t25 () (exists @t24 @t23)) % 0.38/0.60 (define @t26 () (=> @t5 @t25)) % 0.38/0.60 (define @t27 () (forall @t6 @t26)) % 0.38/0.60 (define @t28 () (=> @t9 @t27)) % 0.38/0.60 (define @t29 () (forall @t7 @t28)) % 0.38/0.60 (define @t30 () (tptp.defused @t2 @t4)) % 0.38/0.60 (define @t31 () (tptp.h @t2 @t17)) % 0.38/0.60 (define @t32 () (and @t15 @t31)) % 0.38/0.60 (define @t33 () (=> @t32 @t30)) % 0.38/0.60 (define @t34 () (and @t22 @t33)) % 0.38/0.60 (define @t35 () (exists @t24 @t34)) % 0.38/0.60 (define @t36 () (=> @t5 @t35)) % 0.38/0.60 (define @t37 () (forall @t6 @t36)) % 0.38/0.60 (define @t38 () (=> @t9 @t37)) % 0.38/0.60 (define @t39 () (forall @t7 @t38)) % 0.38/0.60 (define @t40 () (not @t39)) % 0.38/0.60 (define @t41 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 0.38/0.60 (define @t42 () (not @t18)) % 0.38/0.60 (define @t43 () (not @t12)) % 0.38/0.60 (define @t44 () (not @t22)) % 0.38/0.60 (define @t45 () (not (forall @t24 (or @t44 (not (forall @t13 (or @t43 (not (tptp.bomb @t10 @t41)) @t42 (tptp.defused @t10 @t41)))))))) % 0.38/0.60 (define @t46 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t41))) % 0.38/0.60 (define @t47 () (not @t9)) % 0.38/0.60 (define @t48 () (or @t46 @t45)) % 0.38/0.60 (define @t49 () (or @t47 @t48)) % 0.38/0.60 (define @t50 () (forall (@list @t2 @t41) @t49)) % 0.38/0.60 (define @t51 () (@list @t41)) % 0.38/0.60 (define @t52 () (forall @t51 @t49)) % 0.38/0.60 (define @t53 () (forall @t51 @t48)) % 0.38/0.60 (define @t54 () (@list @t4)) % 0.38/0.60 (define @t55 () (or @t47 @t53)) % 0.38/0.60 (define @t56 () (not @t11)) % 0.38/0.60 (define @t57 () (or @t43 @t56 @t42 @t16)) % 0.38/0.60 (define @t58 () (forall @t13 @t57)) % 0.38/0.60 (define @t59 () (not (forall @t24 (or @t44 (not @t58))))) % 0.38/0.60 (define @t60 () (not @t5)) % 0.38/0.60 (define @t61 () (forall @t6 (or @t60 @t59))) % 0.38/0.60 (define @t62 () (and @t22 @t58)) % 0.38/0.60 (define @t63 () (forall @t24 (not @t62))) % 0.38/0.60 (define @t64 () (not @t63)) % 0.38/0.60 (define @t65 () (or @t56 @t42 @t16)) % 0.38/0.60 (define @t66 () (@var "BOUND_VARIABLE_7624" $$unsorted)) % 0.38/0.60 (define @t67 () (not (forall @t24 (or @t44 (and (tptp.bomb @t2 @t66) @t31 (not (tptp.defused @t2 @t66))))))) % 0.38/0.60 (define @t68 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t66))) % 0.38/0.60 (define @t69 () (or @t47 @t68 @t67)) % 0.38/0.60 (define @t70 () (@list @t2 @t66)) % 0.38/0.60 (define @t71 () (forall @t70 @t69)) % 0.38/0.60 (define @t72 () (@quantifiers_skolemize @t71 1)) % 0.38/0.60 (define @t73 () (@quantifiers_skolemize @t71 0)) % 0.38/0.60 (define @t74 () (or @t68 @t67)) % 0.38/0.60 (define @t75 () (or @t47 @t74)) % 0.38/0.60 (define @t76 () (forall @t70 @t75)) % 0.38/0.60 (define @t77 () (@list @t66)) % 0.38/0.60 (define @t78 () (forall @t77 @t75)) % 0.38/0.60 (define @t79 () (forall @t77 @t74)) % 0.38/0.60 (define @t80 () (or @t47 @t79)) % 0.38/0.60 (define @t81 () (not @t30)) % 0.38/0.60 (define @t82 () (and @t15 @t31 @t81)) % 0.38/0.60 (define @t83 () (not (forall @t24 (or @t44 @t82)))) % 0.38/0.60 (define @t84 () (forall @t6 (or @t60 @t83))) % 0.38/0.60 (define @t85 () (forall @t24 (not @t34))) % 0.38/0.60 (define @t86 () (not @t85)) % 0.38/0.60 (define @t87 () (|tptp.'$ki_exists_in_world_$i'| @t73 @t72)) % 0.38/0.60 (define @t88 () (tptp.defused @t73 @t72)) % 0.38/0.60 (define @t89 () (not @t88)) % 0.38/0.60 (define @t90 () (tptp.bomb @t73 @t72)) % 0.38/0.60 (define @t91 () (not (|tptp.'$ki_exists_in_world_$i'| @t73 @t17))) % 0.38/0.60 (define @t92 () (forall @t24 (or @t91 (and @t90 (tptp.h @t73 @t17) @t89)))) % 0.38/0.60 (define @t93 () (not @t92)) % 0.38/0.60 (define @t94 () (not @t87)) % 0.38/0.60 (define @t95 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t73)) % 0.38/0.60 (define @t96 () (not @t95)) % 0.38/0.60 (define @t97 () (or @t96 @t94 @t93)) % 0.38/0.60 (define @t98 () (@list true)) % 0.38/0.60 (define @t99 () (@list @t97)) % 0.38/0.60 (define @t100 () (tptp.defused @t10 @t72)) % 0.38/0.60 (define @t101 () (not (tptp.bomb @t10 @t72))) % 0.38/0.60 (define @t102 () (not (|tptp.'$ki_accessible'| @t73 @t10))) % 0.38/0.60 (define @t103 () (forall @t24 (or @t91 (not (forall @t13 (or @t102 @t101 @t42 @t100)))))) % 0.38/0.60 (define @t104 () (not @t103)) % 0.38/0.60 (define @t105 () (or @t96 @t94 @t104)) % 0.38/0.60 (define @t106 () (@quantifiers_skolemize @t103 0)) % 0.38/0.60 (define @t107 () (forall @t13 (or @t102 @t101 (not (tptp.h @t10 @t106)) @t100))) % 0.38/0.60 (define @t108 () (not @t107)) % 0.38/0.60 (define @t109 () (|tptp.'$ki_exists_in_world_$i'| @t73 @t106)) % 0.38/0.60 (define @t110 () (not @t109)) % 0.38/0.60 (define @t111 () (or @t110 @t108)) % 0.38/0.60 (define @t112 () (@list @t111)) % 0.38/0.60 (define @t113 () (tptp.h @t73 @t106)) % 0.38/0.60 (define @t114 () (and @t90 @t113 @t89)) % 0.38/0.60 (define @t115 () (or @t110 @t114)) % 0.38/0.60 (define @t116 () (@list false false)) % 0.38/0.60 (define @t117 () (@list false)) % 0.38/0.60 (define @t118 () (and @t90 (tptp.h @t73 @t72) @t89)) % 0.38/0.60 (define @t119 () (or @t94 @t118)) % 0.38/0.60 (define @t120 () (not @t118)) % 0.38/0.60 (define @t121 () (@list @t118)) % 0.38/0.60 (define @t122 () (not @t113)) % 0.38/0.60 (define @t123 () (not @t90)) % 0.38/0.60 (define @t124 () (|tptp.'$ki_accessible'| @t73 @t73)) % 0.38/0.60 (define @t125 () (not @t124)) % 0.38/0.60 (define @t126 () (or @t125 @t123 @t122 @t88)) % 0.38/0.60 (assume @p1 @t3) % 0.38/0.60 (assume @p2 (forall (@list @t2 @t4) @t5)) % 0.38/0.60 (assume @p3 (forall @t7 (exists @t6 @t5))) % 0.38/0.60 (assume @p4 (forall @t7 (=> @t9 (exists (@list @t8) (and (|tptp.'$ki_exists_in_world_$i'| @t2 @t8) (tptp.bomb @t2 @t8)))))) % 0.38/0.60 (assume @p5 (exists (@list @t14) (and (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t14) (forall @t7 (=> @t9 (forall @t6 (=> @t5 (=> (and @t15 (tptp.h @t2 @t14)) (forall @t13 (=> @t12 @t11)))))))))) % 0.38/0.60 (assume @p6 @t29) % 0.38/0.60 (assume @p7 @t40) % 0.38/0.60 (assume @p8 true) % 0.38/0.60 (step @p9 :rule aci_norm :args ((= @t49 (or @t47 @t46 @t45)))) % 0.38/0.60 (step @p10 :rule cong :premises (@p9) :args (@t50)) % 0.38/0.60 (step @p11 :rule quant-merge-prenex :args ((= (forall @t7 @t52) @t50))) % 0.38/0.60 (step @p12 :rule alpha_equiv :args (@t53 (@list @t41) @t54)) % 0.38/0.60 (step @p13 :rule refl :args (@t47)) % 0.38/0.60 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t55)) % 0.38/0.60 (step @p15 :rule quant-miniscope-or :args ((= @t52 @t55))) % 0.38/0.60 (step @p16 :rule trans :premises (@p15 @p14)) % 0.38/0.60 (step @p17 :rule symm :premises (@p16)) % 0.38/0.60 (step @p18 :rule cong :premises (@p17) :args ((forall @t7 (or @t47 @t61)))) % 0.38/0.60 (step @p19 :rule trans :premises (@p18 @p11)) % 0.38/0.60 (step @p20 :rule trans :premises (@p19 @p10)) % 0.38/0.60 (step @p21 :rule bool-impl-elim :args (@t9 @t61)) % 0.38/0.60 (step @p22 :rule cong :premises (@p21) :args ((forall @t7 (=> @t9 @t61)))) % 0.38/0.60 (step @p23 :rule trans :premises (@p22 @p20)) % 0.38/0.60 (step @p24 :rule bool-impl-elim :args (@t5 @t59)) % 0.38/0.60 (step @p25 :rule cong :premises (@p24) :args ((forall @t6 (=> @t5 @t59)))) % 0.38/0.60 (step @p26 :rule bool-and-de-morgan :args (@t22 @t58 true)) % 0.38/0.60 (step @p27 :rule cong :premises (@p26) :args (@t63)) % 0.38/0.60 (step @p28 :rule cong :premises (@p27) :args (@t64)) % 0.38/0.60 (step @p29 :rule exists-elim :args ((= (exists @t24 @t62) @t64))) % 0.38/0.60 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.60 (step @p31 :rule aci_norm :args ((= (or @t43 @t65) @t57))) % 0.38/0.60 (step @p32 :rule aci_norm :args ((= (or (or @t56 @t42) @t16) @t65))) % 0.38/0.60 (step @p33 :rule refl :args (@t16)) % 0.38/0.60 (step @p34 :rule bool-and-de-morgan :args (@t11 @t18 true)) % 0.38/0.60 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t19) @t16))) % 0.38/0.60 (step @p36 :rule trans :premises (@p35 @p32)) % 0.38/0.60 (step @p37 :rule bool-impl-elim :args (@t19 @t16)) % 0.38/0.60 (step @p38 :rule trans :premises (@p37 @p36)) % 0.38/0.60 (step @p39 :rule refl :args (@t43)) % 0.38/0.60 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t43 @t20))) % 0.38/0.60 (step @p41 :rule trans :premises (@p40 @p31)) % 0.38/0.60 (step @p42 :rule bool-impl-elim :args (@t12 @t20)) % 0.38/0.60 (step @p43 :rule trans :premises (@p42 @p41)) % 0.38/0.60 (step @p44 :rule cong :premises (@p43) :args (@t21)) % 0.38/0.60 (step @p45 :rule refl :args (@t22)) % 0.38/0.60 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t23)) % 0.38/0.60 (step @p47 :rule cong :premises (@p46) :args (@t25)) % 0.38/0.60 (step @p48 :rule trans :premises (@p47 @p30)) % 0.38/0.60 (step @p49 :rule refl :args (@t5)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49 @p48) :args (@t26)) % 0.38/0.60 (step @p51 :rule cong :premises (@p50) :args (@t27)) % 0.38/0.60 (step @p52 :rule trans :premises (@p51 @p25)) % 0.38/0.60 (step @p53 :rule refl :args (@t9)) % 0.38/0.60 (step @p54 :rule cong :premises (@p53 @p52) :args (@t28)) % 0.38/0.60 (step @p55 :rule cong :premises (@p54) :args (@t29)) % 0.38/0.60 (step @p56 :rule trans :premises (@p55 @p23)) % 0.38/0.60 (step @p57 :rule eq_resolve :premises (@p6 @p56)) % 0.38/0.60 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t73 @t72))) % 0.38/0.60 (step @p59 :rule aci_norm :args ((= @t75 @t69))) % 0.38/0.60 (step @p60 :rule cong :premises (@p59) :args (@t76)) % 0.38/0.60 (step @p61 :rule quant-merge-prenex :args ((= (forall @t7 @t78) @t76))) % 0.38/0.60 (step @p62 :rule alpha_equiv :args (@t79 (@list @t66) @t54)) % 0.38/0.60 (step @p63 :rule nary_cong :premises (@p13 @p62) :args (@t80)) % 0.38/0.60 (step @p64 :rule quant-miniscope-or :args ((= @t78 @t80))) % 0.38/0.60 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.60 (step @p66 :rule symm :premises (@p65)) % 0.38/0.60 (step @p67 :rule cong :premises (@p66) :args ((forall @t7 (or @t47 @t84)))) % 0.38/0.60 (step @p68 :rule trans :premises (@p67 @p61)) % 0.38/0.60 (step @p69 :rule trans :premises (@p68 @p60)) % 0.38/0.60 (step @p70 :rule bool-impl-elim :args (@t9 @t84)) % 0.38/0.60 (step @p71 :rule cong :premises (@p70) :args ((forall @t7 (=> @t9 @t84)))) % 0.38/0.60 (step @p72 :rule trans :premises (@p71 @p69)) % 0.38/0.60 (step @p73 :rule bool-impl-elim :args (@t5 @t83)) % 0.38/0.60 (step @p74 :rule cong :premises (@p73) :args ((forall @t6 (=> @t5 @t83)))) % 0.38/0.60 (step @p75 :rule aci_norm :args ((= (and @t32 @t81) @t82))) % 0.38/0.60 (step @p76 :rule bool-implies-de-morgan :args (@t32 @t30)) % 0.38/0.60 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.60 (step @p78 :rule refl :args (@t44)) % 0.38/0.60 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t44 (not @t33)))) % 0.38/0.60 (step @p80 :rule bool-and-de-morgan :args (@t22 @t33 true)) % 0.38/0.60 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.60 (step @p82 :rule cong :premises (@p81) :args (@t85)) % 0.38/0.60 (step @p83 :rule cong :premises (@p82) :args (@t86)) % 0.38/0.60 (step @p84 :rule exists-elim :args ((= @t35 @t86))) % 0.38/0.60 (step @p85 :rule trans :premises (@p84 @p83)) % 0.38/0.60 (step @p86 :rule cong :premises (@p49 @p85) :args (@t36)) % 0.38/0.60 (step @p87 :rule cong :premises (@p86) :args (@t37)) % 0.38/0.60 (step @p88 :rule trans :premises (@p87 @p74)) % 0.38/0.60 (step @p89 :rule cong :premises (@p53 @p88) :args (@t38)) % 0.38/0.60 (step @p90 :rule cong :premises (@p89) :args (@t39)) % 0.38/0.60 (step @p91 :rule trans :premises (@p90 @p72)) % 0.38/0.60 (step @p92 :rule cong :premises (@p91) :args (@t40)) % 0.38/0.60 (step @p93 :rule eq_resolve :premises (@p7 @p92)) % 0.38/0.60 (step @p94 :rule skolemize :premises (@p93)) % 0.38/0.60 (step @p95 :rule bool-double-not-elim :args (@t87)) % 0.38/0.60 (step @p96 :rule refl :args (@t97)) % 0.38/0.60 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t97 (not @t94)))) % 0.38/0.60 (step @p98 :rule cnf_or_neg :args (@t97 1)) % 0.38/0.60 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.38/0.60 (step @p100 :rule reordering :premises (@p99) :args ((or @t87 @t97))) % 0.38/0.60 (step @p101 :rule chain_m_resolution :premises (@p100 @p94) :args (@t87 @t98 @t99)) % 0.38/0.60 (step @p102 :rule bool-double-not-elim :args (@t95)) % 0.38/0.60 (step @p103 :rule nary_cong :premises (@p96 @p102) :args ((or @t97 (not @t96)))) % 0.38/0.60 (step @p104 :rule cnf_or_neg :args (@t97 0)) % 0.38/0.60 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.38/0.60 (step @p106 :rule reordering :premises (@p105) :args ((or @t95 @t97))) % 0.38/0.60 (step @p107 :rule chain_m_resolution :premises (@p106 @p94) :args (@t95 @t98 @t99)) % 0.38/0.60 (step @p108 :rule cnf_or_pos :args (@t105)) % 0.38/0.60 (step @p109 :rule reordering :premises (@p108) :args ((or @t96 @t94 @t104 (not @t105)))) % 0.38/0.60 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p101 @p58) :args (@t104 (@list false false false) (@list @t95 @t87 @t105))) % 0.38/0.60 (step @p111 :rule skolemize :premises (@p110)) % 0.38/0.60 (step @p112 :rule bool-double-not-elim :args (@t107)) % 0.38/0.60 (step @p113 :rule refl :args (@t111)) % 0.38/0.60 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t111 (not @t108)))) % 0.38/0.61 (step @p115 :rule cnf_or_neg :args (@t111 1)) % 0.38/0.61 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.38/0.61 (step @p117 :rule reordering :premises (@p116) :args ((or @t107 @t111))) % 0.38/0.61 (step @p118 :rule chain_m_resolution :premises (@p117 @p111) :args (@t107 @t98 @t112)) % 0.38/0.61 (step @p119 :rule instantiate :premises (@p118) :args ((@list @t73))) % 0.38/0.61 (step @p120 :rule bool-double-not-elim :args (@t92)) % 0.38/0.61 (step @p121 :rule nary_cong :premises (@p96 @p120) :args ((or @t97 (not @t93)))) % 0.38/0.61 (step @p122 :rule cnf_or_neg :args (@t97 2)) % 0.38/0.61 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.38/0.61 (step @p124 :rule reordering :premises (@p123) :args ((or @t92 @t97))) % 0.38/0.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p94) :args (@t92 @t98 @t99)) % 0.38/0.61 (step @p126 :rule instantiate :premises (@p125) :args ((@list @t106))) % 0.38/0.61 (step @p127 :rule bool-double-not-elim :args (@t109)) % 0.38/0.61 (step @p128 :rule nary_cong :premises (@p113 @p127) :args ((or @t111 (not @t110)))) % 0.38/0.61 (step @p129 :rule cnf_or_neg :args (@t111 0)) % 0.38/0.61 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.38/0.61 (step @p131 :rule reordering :premises (@p130) :args ((or @t109 @t111))) % 0.38/0.61 (step @p132 :rule chain_m_resolution :premises (@p131 @p111) :args (@t109 @t98 @t112)) % 0.38/0.61 (step @p133 :rule cnf_or_pos :args (@t115)) % 0.38/0.61 (step @p134 :rule reordering :premises (@p133) :args ((or @t110 @t114 (not @t115)))) % 0.38/0.61 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p126) :args (@t114 @t116 (@list @t109 @t115))) % 0.38/0.61 (step @p136 :rule cnf_and_pos :args (@t114 1)) % 0.38/0.61 (step @p137 :rule reordering :premises (@p136) :args ((or @t113 (not @t114)))) % 0.38/0.61 (step @p138 :rule chain_m_resolution :premises (@p137 @p135) :args (@t113 @t117 (@list @t114))) % 0.38/0.61 (step @p139 :rule instantiate :premises (@p125) :args ((@list @t72))) % 0.38/0.61 (step @p140 :rule cnf_or_pos :args (@t119)) % 0.38/0.61 (step @p141 :rule reordering :premises (@p140) :args ((or @t94 @t118 (not @t119)))) % 0.38/0.61 (step @p142 :rule chain_m_resolution :premises (@p141 @p101 @p139) :args (@t118 @t116 (@list @t87 @t119))) % 0.38/0.61 (step @p143 :rule cnf_and_pos :args (@t118 0)) % 0.38/0.61 (step @p144 :rule reordering :premises (@p143) :args ((or @t90 @t120))) % 0.38/0.61 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t90 @t117 @t121)) % 0.38/0.61 (step @p146 :rule cnf_and_pos :args (@t118 2)) % 0.38/0.61 (step @p147 :rule reordering :premises (@p146) :args ((or @t89 @t120))) % 0.38/0.61 (step @p148 :rule chain_m_resolution :premises (@p147 @p142) :args (@t89 @t117 @t121)) % 0.38/0.61 (step @p149 :rule cnf_or_pos :args (@t126)) % 0.38/0.61 (step @p150 :rule reordering :premises (@p149) :args ((or @t88 @t123 @t125 @t122 (not @t126)))) % 0.38/0.61 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p145 @p138 @p119) :args (@t125 (@list true false false false) (@list @t88 @t90 @t113 @t126))) % 0.38/0.61 (assume-push @p158 @t3) % 0.38/0.61 (step @p153 :rule instantiate :premises (@p1) :args ((@list @t73 @t73))) % 0.38/0.61 (step-pop @p159 :rule scope :premises (@p153)) % 0.38/0.61 (step @p154 :rule process_scope :premises (@p159) :args (@t124)) % 0.38/0.61 (step @p156 :rule implies_elim :premises (@p154)) % 0.38/0.61 (step @p157 false :rule chain_m_resolution :premises (@p156 @p151 @p1) :args (false (@list true false) (@list @t124 @t3))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------