%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP012+5 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:19:35 AM UTC 2026 % Result : Theorem 1.01s 1.28s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP012+5 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 00:40:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.48 %----Proving TF0_NAR, FOF, or CNF % 1.01/1.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.01/1.28 % SZS status Theorem % 1.01/1.28 % SZS output start Proof % 1.01/1.28 ( % 1.01/1.28 (declare-sort $$unsorted 0) % 1.01/1.28 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.28 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 1.01/1.28 (define @t1 () (@var "E" $$unsorted)) % 1.01/1.28 (define @t2 () (@var "X" $$unsorted)) % 1.01/1.28 (define @t3 () (tptp.inverse @t2)) % 1.01/1.28 (define @t4 () (@var "W" $$unsorted)) % 1.01/1.28 (define @t5 () (tptp.product (tptp.inverse @t4) @t3 @t1)) % 1.01/1.28 (define @t6 () (@var "U" $$unsorted)) % 1.01/1.28 (define @t7 () (@var "V" $$unsorted)) % 1.01/1.28 (define @t8 () (tptp.product @t7 @t6 @t2)) % 1.01/1.28 (define @t9 () (tptp.product (tptp.inverse @t6) (tptp.inverse @t7) @t4)) % 1.01/1.28 (define @t10 () (and @t9 @t8)) % 1.01/1.28 (define @t11 () (@list @t6 @t7 @t4 @t2)) % 1.01/1.28 (define @t12 () (forall @t11 (=> @t10 @t5))) % 1.01/1.28 (define @t13 () (@list @t2)) % 1.01/1.28 (define @t14 () (forall @t13 (tptp.product @t3 @t2 @t1))) % 1.01/1.28 (define @t15 () (forall @t13 (tptp.product @t2 @t3 @t1))) % 1.01/1.28 (define @t16 () (forall @t13 (tptp.product @t1 @t2 @t2))) % 1.01/1.28 (define @t17 () (forall @t13 (tptp.product @t2 @t1 @t2))) % 1.01/1.28 (define @t18 () (@var "Z" $$unsorted)) % 1.01/1.28 (define @t19 () (tptp.product @t6 @t18 @t4)) % 1.01/1.28 (define @t20 () (tptp.product @t2 @t7 @t4)) % 1.01/1.28 (define @t21 () (@var "Y" $$unsorted)) % 1.01/1.28 (define @t22 () (tptp.product @t21 @t18 @t7)) % 1.01/1.28 (define @t23 () (tptp.product @t2 @t21 @t6)) % 1.01/1.28 (define @t24 () (and @t23 @t22 @t20)) % 1.01/1.28 (define @t25 () (@list @t2 @t21 @t18 @t6 @t7 @t4)) % 1.01/1.28 (define @t26 () (forall @t25 (=> @t24 @t19))) % 1.01/1.28 (define @t27 () (and @t23 @t22 @t19)) % 1.01/1.28 (define @t28 () (forall @t25 (=> @t27 @t20))) % 1.01/1.28 (define @t29 () (tptp.product @t2 @t21 @t18)) % 1.01/1.28 (define @t30 () (@list @t18)) % 1.01/1.28 (define @t31 () (exists @t30 @t29)) % 1.01/1.28 (define @t32 () (@list @t2 @t21)) % 1.01/1.28 (define @t33 () (forall @t32 @t31)) % 1.01/1.28 (define @t34 () (and @t33 @t28 @t26 @t17 @t16 @t15 @t14)) % 1.01/1.28 (define @t35 () (=> @t34 @t12)) % 1.01/1.28 (define @t36 () (@list @t1)) % 1.01/1.28 (define @t37 () (forall @t36 @t35)) % 1.01/1.28 (define @t38 () (not @t37)) % 1.01/1.28 (define @t39 () (@var "BOUND_VARIABLE_7504" $$unsorted)) % 1.01/1.28 (define @t40 () (@var "BOUND_VARIABLE_7502" $$unsorted)) % 1.01/1.28 (define @t41 () (tptp.product (tptp.inverse @t40) (tptp.inverse @t39) @t1)) % 1.01/1.28 (define @t42 () (@var "BOUND_VARIABLE_7498" $$unsorted)) % 1.01/1.28 (define @t43 () (@var "BOUND_VARIABLE_7500" $$unsorted)) % 1.01/1.28 (define @t44 () (not (tptp.product @t43 @t42 @t39))) % 1.01/1.28 (define @t45 () (not (tptp.product (tptp.inverse @t42) (tptp.inverse @t43) @t40))) % 1.01/1.28 (define @t46 () (not @t14)) % 1.01/1.28 (define @t47 () (not @t15)) % 1.01/1.28 (define @t48 () (not @t16)) % 1.01/1.28 (define @t49 () (not @t17)) % 1.01/1.28 (define @t50 () (or @t49 @t48 @t47 @t46 @t45 @t44 @t41)) % 1.01/1.28 (define @t51 () (or @t45 @t44 @t41)) % 1.01/1.28 (define @t52 () (or @t49 @t48 @t47 @t46 @t51)) % 1.01/1.28 (define @t53 () (@list @t1 @t42 @t43 @t40 @t39)) % 1.01/1.28 (define @t54 () (forall @t53 @t52)) % 1.01/1.28 (define @t55 () (@list @t42 @t43 @t40 @t39)) % 1.01/1.28 (define @t56 () (forall @t55 @t52)) % 1.01/1.28 (define @t57 () (forall @t55 @t51)) % 1.01/1.28 (define @t58 () (or @t49 @t48 @t47 @t46 @t57)) % 1.01/1.28 (define @t59 () (not @t8)) % 1.01/1.28 (define @t60 () (not @t9)) % 1.01/1.28 (define @t61 () (or @t60 @t59 @t5)) % 1.01/1.28 (define @t62 () (forall @t11 @t61)) % 1.01/1.28 (define @t63 () (or @t49 @t48 @t47 @t46 @t62)) % 1.01/1.28 (define @t64 () (forall @t36 @t63)) % 1.01/1.28 (define @t65 () (not @t20)) % 1.01/1.28 (define @t66 () (not @t22)) % 1.01/1.28 (define @t67 () (not @t23)) % 1.01/1.28 (define @t68 () (or @t67 @t66 @t65 @t19)) % 1.01/1.28 (define @t69 () (forall @t25 @t68)) % 1.01/1.28 (define @t70 () (not @t69)) % 1.01/1.28 (define @t71 () (not @t19)) % 1.01/1.28 (define @t72 () (or @t67 @t66 @t71 @t20)) % 1.01/1.28 (define @t73 () (forall @t25 @t72)) % 1.01/1.28 (define @t74 () (not @t73)) % 1.01/1.28 (define @t75 () (not (forall @t30 (not @t29)))) % 1.01/1.28 (define @t76 () (forall @t32 @t75)) % 1.01/1.28 (define @t77 () (not @t76)) % 1.01/1.28 (define @t78 () (or @t77 @t74 @t70 @t64)) % 1.01/1.28 (define @t79 () (or @t77 @t74 @t70 @t63)) % 1.01/1.28 (define @t80 () (or @t77 @t74 @t70 @t49 @t48 @t47 @t46 @t62)) % 1.01/1.28 (define @t81 () (or @t77 @t74 @t70 @t49 @t48 @t47 @t46)) % 1.01/1.28 (define @t82 () (and @t76 @t73 @t69 @t17 @t16 @t15 @t14)) % 1.01/1.28 (define @t83 () (or @t67 @t66 @t65)) % 1.01/1.28 (define @t84 () (or @t67 @t66 @t71)) % 1.01/1.28 (define @t85 () (forall @t53 @t50)) % 1.01/1.28 (define @t86 () (@quantifiers_skolemize @t85 0)) % 1.01/1.28 (define @t87 () (forall @t13 (tptp.product @t86 @t2 @t2))) % 1.01/1.28 (define @t88 () (@quantifiers_skolemize @t85 4)) % 1.01/1.28 (define @t89 () (tptp.inverse @t88)) % 1.01/1.28 (define @t90 () (@quantifiers_skolemize @t85 3)) % 1.01/1.28 (define @t91 () (tptp.inverse @t90)) % 1.01/1.28 (define @t92 () (tptp.product @t91 @t89 @t86)) % 1.01/1.28 (define @t93 () (@quantifiers_skolemize @t85 1)) % 1.01/1.28 (define @t94 () (@quantifiers_skolemize @t85 2)) % 1.01/1.28 (define @t95 () (tptp.product @t94 @t93 @t88)) % 1.01/1.28 (define @t96 () (not @t95)) % 1.01/1.28 (define @t97 () (tptp.inverse @t94)) % 1.01/1.28 (define @t98 () (tptp.inverse @t93)) % 1.01/1.28 (define @t99 () (tptp.product @t98 @t97 @t90)) % 1.01/1.28 (define @t100 () (not @t99)) % 1.01/1.28 (define @t101 () (forall @t13 (tptp.product @t3 @t2 @t86))) % 1.01/1.28 (define @t102 () (not @t101)) % 1.01/1.28 (define @t103 () (forall @t13 (tptp.product @t2 @t3 @t86))) % 1.01/1.28 (define @t104 () (not @t103)) % 1.01/1.28 (define @t105 () (not @t87)) % 1.01/1.28 (define @t106 () (forall @t13 (tptp.product @t2 @t86 @t2))) % 1.01/1.28 (define @t107 () (not @t106)) % 1.01/1.28 (define @t108 () (or @t107 @t105 @t104 @t102 @t100 @t96 @t92)) % 1.01/1.28 (define @t109 () (@list true)) % 1.01/1.28 (define @t110 () (@list @t108)) % 1.01/1.28 (define @t111 () (@list @t93)) % 1.01/1.28 (define @t112 () (tptp.product @t97 @t88 @t93)) % 1.01/1.28 (define @t113 () (tptp.product @t86 @t93 @t93)) % 1.01/1.28 (define @t114 () (not @t113)) % 1.01/1.28 (define @t115 () (tptp.product @t97 @t94 @t86)) % 1.01/1.28 (define @t116 () (not @t115)) % 1.01/1.28 (define @t117 () (or @t116 @t96 @t114 @t112)) % 1.01/1.28 (define @t118 () (@list false false false false)) % 1.01/1.28 (define @t119 () (tptp.product @t90 @t88 @t86)) % 1.01/1.28 (define @t120 () (tptp.product @t98 @t93 @t86)) % 1.01/1.28 (define @t121 () (not @t120)) % 1.01/1.28 (define @t122 () (not @t112)) % 1.01/1.28 (define @t123 () (or @t100 @t122 @t121 @t119)) % 1.01/1.28 (define @t124 () (tptp.product @t86 @t86 @t86)) % 1.01/1.28 (define @t125 () (not @t124)) % 1.01/1.28 (define @t126 () (tptp.product @t90 @t86 @t89)) % 1.01/1.28 (define @t127 () (not @t126)) % 1.01/1.28 (define @t128 () (tptp.product @t91 @t90 @t86)) % 1.01/1.28 (define @t129 () (not @t128)) % 1.01/1.28 (define @t130 () (or @t129 @t127 @t125 @t92)) % 1.01/1.28 (define @t131 () (tptp.product @t86 @t89 @t89)) % 1.01/1.28 (define @t132 () (not @t131)) % 1.01/1.28 (define @t133 () (tptp.product @t88 @t89 @t86)) % 1.01/1.28 (define @t134 () (not @t133)) % 1.01/1.28 (define @t135 () (not @t119)) % 1.01/1.28 (define @t136 () (or @t135 @t134 @t132 @t126)) % 1.01/1.28 (assume @p1 @t38) % 1.01/1.28 (assume @p2 true) % 1.01/1.28 (step @p3 :rule aci_norm :args ((= @t52 @t50))) % 1.01/1.28 (step @p4 :rule cong :premises (@p3) :args (@t54)) % 1.01/1.28 (step @p5 :rule quant-merge-prenex :args ((= (forall @t36 @t56) @t54))) % 1.01/1.28 (step @p6 :rule alpha_equiv :args (@t57 (@list @t42 @t43 @t40 @t39) (@list @t6 @t7 @t4 @t2))) % 1.01/1.28 (step @p7 :rule refl :args (@t46)) % 1.01/1.28 (step @p8 :rule refl :args (@t47)) % 1.01/1.28 (step @p9 :rule refl :args (@t48)) % 1.01/1.28 (step @p10 :rule refl :args (@t49)) % 1.01/1.28 (step @p11 :rule nary_cong :premises (@p10 @p9 @p8 @p7 @p6) :args (@t58)) % 1.01/1.28 (step @p12 :rule quant-miniscope-or :args ((= @t56 @t58))) % 1.01/1.28 (step @p13 :rule trans :premises (@p12 @p11)) % 1.01/1.28 (step @p14 :rule symm :premises (@p13)) % 1.01/1.28 (step @p15 :rule cong :premises (@p14) :args (@t64)) % 1.01/1.28 (step @p16 :rule trans :premises (@p15 @p5)) % 1.01/1.28 (step @p17 :rule trans :premises (@p16 @p4)) % 1.01/1.28 (step @p18 :rule refl :args (@t70)) % 1.01/1.28 (step @p19 :rule refl :args (@t74)) % 1.01/1.28 (step @p20 :rule refl :args (@t77)) % 1.01/1.28 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18 @p17) :args (@t78)) % 1.01/1.28 (step @p22 :rule quant-miniscope-or :args ((= (forall @t36 @t79) @t78))) % 1.01/1.28 (step @p23 :rule aci_norm :args ((= @t80 @t79))) % 1.01/1.28 (step @p24 :rule cong :premises (@p23) :args ((forall @t36 @t80))) % 1.01/1.28 (step @p25 :rule trans :premises (@p24 @p22)) % 1.01/1.28 (step @p26 :rule trans :premises (@p25 @p21)) % 1.01/1.28 (step @p27 :rule aci_norm :args ((= (or @t81 @t62) @t80))) % 1.01/1.28 (step @p28 :rule refl :args (@t62)) % 1.01/1.28 (step @p29 :rule aci_norm :args ((= (or @t77 (or @t74 (or @t70 (or @t49 (or @t48 (or @t47 @t46)))))) @t81))) % 1.01/1.28 (step @p30 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 1.01/1.28 (step @p31 :rule nary_cong :premises (@p9 @p30) :args ((or @t48 (not (and @t15 @t14))))) % 1.01/1.28 (step @p32 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14))) % 1.01/1.28 (step @p33 :rule trans :premises (@p32 @p31)) % 1.01/1.28 (step @p34 :rule nary_cong :premises (@p10 @p33) :args ((or @t49 (not (and @t16 @t15 @t14))))) % 1.01/1.28 (step @p35 :rule bool-and-de-morgan :args (@t17 @t16 (and @t15 @t14))) % 1.01/1.28 (step @p36 :rule trans :premises (@p35 @p34)) % 1.01/1.28 (step @p37 :rule refl :args (@t70)) % 1.01/1.28 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t70 (not (and @t17 @t16 @t15 @t14))))) % 1.01/1.28 (step @p39 :rule bool-and-de-morgan :args (@t69 @t17 (and @t16 @t15 @t14))) % 1.01/1.28 (step @p40 :rule trans :premises (@p39 @p38)) % 1.01/1.28 (step @p41 :rule refl :args (@t74)) % 1.01/1.28 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t74 (not (and @t69 @t17 @t16 @t15 @t14))))) % 1.01/1.28 (step @p43 :rule bool-and-de-morgan :args (@t73 @t69 (and @t17 @t16 @t15 @t14))) % 1.01/1.28 (step @p44 :rule trans :premises (@p43 @p42)) % 1.01/1.28 (step @p45 :rule refl :args (@t77)) % 1.01/1.28 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t77 (not (and @t73 @t69 @t17 @t16 @t15 @t14))))) % 1.01/1.28 (step @p47 :rule bool-and-de-morgan :args (@t76 @t73 (and @t69 @t17 @t16 @t15 @t14))) % 1.01/1.28 (step @p48 :rule trans :premises (@p47 @p46)) % 1.01/1.28 (step @p49 :rule trans :premises (@p48 @p29)) % 1.01/1.28 (step @p50 :rule nary_cong :premises (@p49 @p28) :args ((or (not @t82) @t62))) % 1.01/1.28 (step @p51 :rule trans :premises (@p50 @p27)) % 1.01/1.28 (step @p52 :rule bool-impl-elim :args (@t82 @t62)) % 1.01/1.28 (step @p53 :rule trans :premises (@p52 @p51)) % 1.01/1.28 (step @p54 :rule cong :premises (@p53) :args ((forall @t36 (=> @t82 @t62)))) % 1.01/1.28 (step @p55 :rule trans :premises (@p54 @p26)) % 1.01/1.28 (step @p56 :rule aci_norm :args ((= (or (or @t60 @t59) @t5) @t61))) % 1.01/1.28 (step @p57 :rule refl :args (@t5)) % 1.01/1.28 (step @p58 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 1.01/1.28 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t10) @t5))) % 1.01/1.28 (step @p60 :rule trans :premises (@p59 @p56)) % 1.01/1.28 (step @p61 :rule bool-impl-elim :args (@t10 @t5)) % 1.01/1.28 (step @p62 :rule trans :premises (@p61 @p60)) % 1.01/1.28 (step @p63 :rule cong :premises (@p62) :args (@t12)) % 1.01/1.28 (step @p64 :rule refl :args (@t14)) % 1.01/1.28 (step @p65 :rule refl :args (@t15)) % 1.01/1.28 (step @p66 :rule refl :args (@t16)) % 1.01/1.28 (step @p67 :rule refl :args (@t17)) % 1.01/1.28 (step @p68 :rule aci_norm :args ((= (or @t83 @t19) @t68))) % 1.01/1.28 (step @p69 :rule refl :args (@t19)) % 1.01/1.28 (step @p70 :rule aci_norm :args ((= (or @t67 (or @t66 @t65)) @t83))) % 1.01/1.28 (step @p71 :rule bool-and-de-morgan :args (@t22 @t20 true)) % 1.01/1.28 (step @p72 :rule refl :args (@t67)) % 1.01/1.28 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t67 (not (and @t22 @t20))))) % 1.01/1.28 (step @p74 :rule bool-and-de-morgan :args (@t23 @t22 (and @t20))) % 1.01/1.28 (step @p75 :rule trans :premises (@p74 @p73)) % 1.01/1.28 (step @p76 :rule trans :premises (@p75 @p70)) % 1.01/1.28 (step @p77 :rule nary_cong :premises (@p76 @p69) :args ((or (not @t24) @t19))) % 1.01/1.29 (step @p78 :rule trans :premises (@p77 @p68)) % 1.01/1.29 (step @p79 :rule bool-impl-elim :args (@t24 @t19)) % 1.01/1.29 (step @p80 :rule trans :premises (@p79 @p78)) % 1.01/1.29 (step @p81 :rule cong :premises (@p80) :args (@t26)) % 1.01/1.29 (step @p82 :rule aci_norm :args ((= (or @t84 @t20) @t72))) % 1.01/1.29 (step @p83 :rule refl :args (@t20)) % 1.01/1.29 (step @p84 :rule aci_norm :args ((= (or @t67 (or @t66 @t71)) @t84))) % 1.01/1.29 (step @p85 :rule bool-and-de-morgan :args (@t22 @t19 true)) % 1.01/1.29 (step @p86 :rule nary_cong :premises (@p72 @p85) :args ((or @t67 (not (and @t22 @t19))))) % 1.01/1.29 (step @p87 :rule bool-and-de-morgan :args (@t23 @t22 (and @t19))) % 1.01/1.29 (step @p88 :rule trans :premises (@p87 @p86)) % 1.01/1.29 (step @p89 :rule trans :premises (@p88 @p84)) % 1.01/1.29 (step @p90 :rule nary_cong :premises (@p89 @p83) :args ((or (not @t27) @t20))) % 1.01/1.29 (step @p91 :rule trans :premises (@p90 @p82)) % 1.01/1.29 (step @p92 :rule bool-impl-elim :args (@t27 @t20)) % 1.01/1.29 (step @p93 :rule trans :premises (@p92 @p91)) % 1.01/1.29 (step @p94 :rule cong :premises (@p93) :args (@t28)) % 1.01/1.29 (step @p95 :rule exists-elim :args ((= @t31 @t75))) % 1.01/1.29 (step @p96 :rule cong :premises (@p95) :args (@t33)) % 1.01/1.29 (step @p97 :rule nary_cong :premises (@p96 @p94 @p81 @p67 @p66 @p65 @p64) :args (@t34)) % 1.01/1.29 (step @p98 :rule cong :premises (@p97 @p63) :args (@t35)) % 1.01/1.29 (step @p99 :rule cong :premises (@p98) :args (@t37)) % 1.01/1.29 (step @p100 :rule trans :premises (@p99 @p55)) % 1.01/1.29 (step @p101 :rule cong :premises (@p100) :args (@t38)) % 1.01/1.29 (step @p102 :rule eq_resolve :premises (@p1 @p101)) % 1.01/1.29 (step @p103 :rule not_or_elim :premises (@p102) :args (3)) % 1.01/1.29 (step @p104 :rule skolemize :premises (@p103)) % 1.01/1.29 (step @p105 :rule bool-double-not-elim :args (@t87)) % 1.01/1.29 (step @p106 :rule refl :args (@t108)) % 1.01/1.29 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t108 (not @t105)))) % 1.01/1.29 (step @p108 :rule cnf_or_neg :args (@t108 1)) % 1.01/1.29 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 1.01/1.29 (step @p110 :rule reordering :premises (@p109) :args ((or @t87 @t108))) % 1.01/1.29 (step @p111 :rule chain_m_resolution :premises (@p110 @p104) :args (@t87 @t109 @t110)) % 1.01/1.29 (step @p112 :rule not_or_elim :premises (@p102) :args (1)) % 1.01/1.29 (step @p113 :rule not_not_elim :premises (@p112)) % 1.01/1.29 (step @p114 :rule instantiate :premises (@p113) :args ((@list @t90 @t88 @t89 @t86 @t86 @t89))) % 1.01/1.29 (step @p115 :rule not_or_elim :premises (@p102) :args (2)) % 1.01/1.29 (step @p116 :rule not_not_elim :premises (@p115)) % 1.01/1.29 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t98 @t97 @t88 @t90 @t93 @t86))) % 1.01/1.29 (step @p118 :rule instantiate :premises (@p113) :args ((@list @t97 @t94 @t93 @t86 @t88 @t93))) % 1.01/1.29 (step @p119 :rule instantiate :premises (@p111) :args (@t111)) % 1.01/1.29 (step @p120 :rule bool-double-not-elim :args (@t101)) % 1.01/1.29 (step @p121 :rule nary_cong :premises (@p106 @p120) :args ((or @t108 (not @t102)))) % 1.01/1.29 (step @p122 :rule cnf_or_neg :args (@t108 3)) % 1.01/1.29 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 1.01/1.29 (step @p124 :rule reordering :premises (@p123) :args ((or @t101 @t108))) % 1.01/1.29 (step @p125 :rule chain_m_resolution :premises (@p124 @p104) :args (@t101 @t109 @t110)) % 1.01/1.29 (step @p126 :rule instantiate :premises (@p125) :args ((@list @t94))) % 1.01/1.29 (step @p127 :rule bool-double-not-elim :args (@t95)) % 1.01/1.29 (step @p128 :rule nary_cong :premises (@p106 @p127) :args ((or @t108 (not @t96)))) % 1.01/1.29 (step @p129 :rule cnf_or_neg :args (@t108 5)) % 1.01/1.29 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 1.01/1.29 (step @p131 :rule reordering :premises (@p130) :args ((or @t95 @t108))) % 1.01/1.29 (step @p132 :rule chain_m_resolution :premises (@p131 @p104) :args (@t95 @t109 @t110)) % 1.01/1.29 (step @p133 :rule cnf_or_pos :args (@t117)) % 1.01/1.29 (step @p134 :rule reordering :premises (@p133) :args ((or @t96 @t116 @t114 @t112 (not @t117)))) % 1.01/1.29 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p126 @p119 @p118) :args (@t112 @t118 (@list @t95 @t115 @t113 @t117))) % 1.01/1.29 (step @p136 :rule instantiate :premises (@p125) :args (@t111)) % 1.01/1.29 (step @p137 :rule bool-double-not-elim :args (@t99)) % 1.01/1.29 (step @p138 :rule nary_cong :premises (@p106 @p137) :args ((or @t108 (not @t100)))) % 1.01/1.29 (step @p139 :rule cnf_or_neg :args (@t108 4)) % 1.01/1.29 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 1.01/1.29 (step @p141 :rule reordering :premises (@p140) :args ((or @t99 @t108))) % 1.01/1.29 (step @p142 :rule chain_m_resolution :premises (@p141 @p104) :args (@t99 @t109 @t110)) % 1.01/1.29 (step @p143 :rule cnf_or_pos :args (@t123)) % 1.01/1.29 (step @p144 :rule reordering :premises (@p143) :args ((or @t100 @t121 @t122 @t119 (not @t123)))) % 1.01/1.29 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p136 @p135 @p117) :args (@t119 @t118 (@list @t99 @t120 @t112 @t123))) % 1.01/1.29 (step @p146 :rule instantiate :premises (@p113) :args ((@list @t91 @t90 @t86 @t86 @t89 @t86))) % 1.01/1.29 (step @p147 :rule bool-double-not-elim :args (@t106)) % 1.01/1.29 (step @p148 :rule nary_cong :premises (@p106 @p147) :args ((or @t108 (not @t107)))) % 1.01/1.29 (step @p149 :rule cnf_or_neg :args (@t108 0)) % 1.01/1.29 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 1.01/1.29 (step @p151 :rule reordering :premises (@p150) :args ((or @t106 @t108))) % 1.01/1.29 (step @p152 :rule chain_m_resolution :premises (@p151 @p104) :args (@t106 @t109 @t110)) % 1.01/1.29 (step @p153 :rule instantiate :premises (@p152) :args ((@list @t86))) % 1.01/1.29 (step @p154 :rule instantiate :premises (@p125) :args ((@list @t90))) % 1.01/1.29 (step @p155 :rule cnf_or_neg :args (@t108 6)) % 1.01/1.29 (step @p156 :rule chain_m_resolution :premises (@p155 @p104) :args ((not @t92) @t109 @t110)) % 1.01/1.29 (step @p157 :rule cnf_or_pos :args (@t130)) % 1.01/1.29 (step @p158 :rule reordering :premises (@p157) :args ((or @t92 @t129 @t125 @t127 (not @t130)))) % 1.01/1.29 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p154 @p153 @p146) :args (@t127 (@list true false false false) (@list @t92 @t128 @t124 @t130))) % 1.01/1.29 (step @p160 :rule bool-double-not-elim :args (@t103)) % 1.01/1.29 (step @p161 :rule nary_cong :premises (@p106 @p160) :args ((or @t108 (not @t104)))) % 1.01/1.29 (step @p162 :rule cnf_or_neg :args (@t108 2)) % 1.01/1.29 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 1.01/1.29 (step @p164 :rule reordering :premises (@p163) :args ((or @t103 @t108))) % 1.01/1.29 (step @p165 :rule chain_m_resolution :premises (@p164 @p104) :args (@t103 @t109 @t110)) % 1.01/1.29 (step @p166 :rule instantiate :premises (@p165) :args ((@list @t88))) % 1.01/1.29 (step @p167 :rule cnf_or_pos :args (@t136)) % 1.01/1.29 (step @p168 :rule reordering :premises (@p167) :args ((or @t134 @t126 @t135 @t132 (not @t136)))) % 1.01/1.29 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p159 @p145 @p114) :args (@t132 (@list false true false false) (@list @t133 @t126 @t119 @t136))) % 1.01/1.29 (assume-push @p176 @t87) % 1.01/1.29 (step @p171 :rule instantiate :premises (@p111) :args ((@list @t89))) % 1.01/1.29 (step-pop @p177 :rule scope :premises (@p171)) % 1.01/1.29 (step @p172 :rule process_scope :premises (@p177) :args (@t131)) % 1.01/1.29 (step @p174 :rule implies_elim :premises (@p172)) % 1.01/1.29 (step @p175 false :rule chain_m_resolution :premises (@p174 @p169 @p111) :args (false (@list true false) (@list @t131 @t87))) % 1.01/1.29 ) % 1.01/1.29 % SZS output end Proof % 1.01/1.29 % cvc5 exiting %------------------------------------------------------------------------------