%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN345+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:08:38 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN345+1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.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 23:24:16 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (declare-const tptp.big_f (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (define @t1 () (@var "X2" $$unsorted)) % 0.36/0.62 (define @t2 () (@var "X1" $$unsorted)) % 0.36/0.62 (define @t3 () (tptp.big_f @t2 @t1 @t1)) % 0.36/0.62 (define @t4 () (tptp.big_f @t2 @t2 @t1)) % 0.36/0.62 (define @t5 () (@var "Y1" $$unsorted)) % 0.36/0.62 (define @t6 () (tptp.big_f @t1 @t1 @t5)) % 0.36/0.62 (define @t7 () (and @t6 (= @t4 @t3))) % 0.36/0.62 (define @t8 () (@var "Z" $$unsorted)) % 0.36/0.62 (define @t9 () (@var "Y2" $$unsorted)) % 0.36/0.62 (define @t10 () (tptp.big_f @t5 @t9 @t8)) % 0.36/0.62 (define @t11 () (=> @t10 @t7)) % 0.36/0.62 (define @t12 () (=> @t3 @t4)) % 0.36/0.62 (define @t13 () (tptp.big_f @t5 @t8 @t8)) % 0.36/0.62 (define @t14 () (tptp.big_f @t1 @t5 @t9)) % 0.36/0.62 (define @t15 () (=> @t14 @t13)) % 0.36/0.62 (define @t16 () (=> @t15 @t12)) % 0.36/0.62 (define @t17 () (=> @t16 @t11)) % 0.36/0.62 (define @t18 () (=> @t4 @t3)) % 0.36/0.62 (define @t19 () (tptp.big_f @t9 @t5 @t8)) % 0.36/0.62 (define @t20 () (tptp.big_f @t2 @t1 @t5)) % 0.36/0.62 (define @t21 () (=> @t20 @t19)) % 0.36/0.62 (define @t22 () (=> @t21 @t18)) % 0.36/0.62 (define @t23 () (=> @t22 @t17)) % 0.36/0.62 (define @t24 () (@list @t8)) % 0.36/0.62 (define @t25 () (forall @t24 @t23)) % 0.36/0.62 (define @t26 () (@list @t5 @t9)) % 0.36/0.62 (define @t27 () (exists @t26 @t25)) % 0.36/0.62 (define @t28 () (@list @t2 @t1)) % 0.36/0.62 (define @t29 () (forall @t28 @t27)) % 0.36/0.62 (define @t30 () (not @t29)) % 0.36/0.62 (define @t31 () (@var "BOUND_VARIABLE_7495" $$unsorted)) % 0.36/0.62 (define @t32 () (@var "BOUND_VARIABLE_7493" $$unsorted)) % 0.36/0.62 (define @t33 () (not (tptp.big_f @t32 @t31 @t8))) % 0.36/0.62 (define @t34 () (not @t4)) % 0.36/0.62 (define @t35 () (tptp.big_f @t32 @t8 @t8)) % 0.36/0.62 (define @t36 () (not @t3)) % 0.36/0.62 (define @t37 () (tptp.big_f @t31 @t32 @t8)) % 0.36/0.62 (define @t38 () (@list @t32 @t31)) % 0.36/0.62 (define @t39 () (forall @t38 (not (forall @t24 (or (and (or (not (tptp.big_f @t2 @t1 @t32)) @t37) @t4 @t36) (and (or (not (tptp.big_f @t1 @t32 @t31)) @t35) @t3 @t34) @t33))))) % 0.36/0.62 (define @t40 () (not @t39)) % 0.36/0.62 (define @t41 () (@var "BOUND_VARIABLE_7484" $$unsorted)) % 0.36/0.62 (define @t42 () (not (tptp.big_f @t1 @t1 @t41))) % 0.36/0.62 (define @t43 () (@list @t41)) % 0.36/0.62 (define @t44 () (forall @t43 @t42)) % 0.36/0.62 (define @t45 () (not @t44)) % 0.36/0.62 (define @t46 () (= @t4 @t36)) % 0.36/0.62 (define @t47 () (or @t46 @t44)) % 0.36/0.62 (define @t48 () (or @t46 @t42)) % 0.36/0.62 (define @t49 () (or @t42 @t46)) % 0.36/0.62 (define @t50 () (forall @t43 @t49)) % 0.36/0.62 (define @t51 () (@var "BOUND_VARIABLE_7486" $$unsorted)) % 0.36/0.62 (define @t52 () (forall (@list @t41 @t51) @t49)) % 0.36/0.62 (define @t53 () (not @t10)) % 0.36/0.62 (define @t54 () (or (not @t14) @t13)) % 0.36/0.62 (define @t55 () (and @t54 @t3 @t34)) % 0.36/0.62 (define @t56 () (or (not @t20) @t19)) % 0.36/0.62 (define @t57 () (and @t56 @t4 @t36)) % 0.36/0.62 (define @t58 () (or @t57 @t55 @t53)) % 0.36/0.62 (define @t59 () (forall @t24 @t58)) % 0.36/0.62 (define @t60 () (not @t59)) % 0.36/0.62 (define @t61 () (forall @t26 @t60)) % 0.36/0.62 (define @t62 () (@list @t5 @t9)) % 0.36/0.62 (define @t63 () (not @t6)) % 0.36/0.62 (define @t64 () (or @t63 @t46)) % 0.36/0.62 (define @t65 () (forall @t26 @t64)) % 0.36/0.62 (define @t66 () (and @t65 @t61)) % 0.36/0.62 (define @t67 () (or @t63 (= @t36 @t4))) % 0.36/0.62 (define @t68 () (and @t67 @t60)) % 0.36/0.62 (define @t69 () (= @t3 @t4)) % 0.36/0.62 (define @t70 () (and @t6 @t69)) % 0.36/0.62 (define @t71 () (or @t70 @t59)) % 0.36/0.62 (define @t72 () (forall @t26 (not @t71))) % 0.36/0.62 (define @t73 () (not @t72)) % 0.36/0.62 (define @t74 () (or @t70 @t58)) % 0.36/0.62 (define @t75 () (or @t57 @t55 @t53 @t70)) % 0.36/0.62 (define @t76 () (or @t55 @t53 @t70)) % 0.36/0.62 (define @t77 () (=> @t10 @t70)) % 0.36/0.62 (define @t78 () (=> @t16 @t77)) % 0.36/0.62 (define @t79 () (forall @t28 (or (and (= @t34 @t36) @t45) @t40))) % 0.36/0.62 (define @t80 () (@quantifiers_skolemize @t79 1)) % 0.36/0.62 (define @t81 () (@quantifiers_skolemize @t79 0)) % 0.36/0.62 (define @t82 () (tptp.big_f @t81 @t81 @t80)) % 0.36/0.62 (define @t83 () (not @t82)) % 0.36/0.62 (define @t84 () (tptp.big_f @t81 @t80 @t80)) % 0.36/0.62 (define @t85 () (not @t84)) % 0.36/0.62 (define @t86 () (forall @t38 (not (forall @t24 (or (and (or (not (tptp.big_f @t81 @t80 @t32)) @t37) @t82 @t85) (and (or (not (tptp.big_f @t80 @t32 @t31)) @t35) @t84 @t83) @t33))))) % 0.36/0.62 (define @t87 () (not @t86)) % 0.36/0.62 (define @t88 () (forall @t43 (not (tptp.big_f @t80 @t80 @t41)))) % 0.36/0.62 (define @t89 () (not @t88)) % 0.36/0.62 (define @t90 () (= @t83 @t85)) % 0.36/0.62 (define @t91 () (and @t90 @t89)) % 0.36/0.62 (define @t92 () (or @t91 @t87)) % 0.36/0.62 (define @t93 () (@list true)) % 0.36/0.62 (define @t94 () (@list @t92)) % 0.36/0.62 (define @t95 () (tptp.big_f @t80 @t80 @t8)) % 0.36/0.62 (define @t96 () (not (tptp.big_f @t80 @t80 @t80))) % 0.36/0.62 (define @t97 () (@quantifiers_skolemize (forall @t24 (or (and (or @t85 @t95) @t82 @t85) (and (or @t96 (tptp.big_f @t80 @t8 @t8)) @t84 @t83) (not @t95))) 0)) % 0.36/0.62 (define @t98 () (tptp.big_f @t97 @t97 @t8)) % 0.36/0.62 (define @t99 () (tptp.big_f @t80 @t97 @t97)) % 0.36/0.62 (define @t100 () (not @t99)) % 0.36/0.62 (define @t101 () (not (tptp.big_f @t81 @t80 @t97))) % 0.36/0.62 (define @t102 () (@quantifiers_skolemize (forall @t24 (or (and (or @t101 @t98) @t82 @t85) (and (or @t100 (tptp.big_f @t97 @t8 @t8)) @t84 @t83) (not @t98))) 0)) % 0.36/0.62 (define @t103 () (tptp.big_f @t97 @t97 @t102)) % 0.36/0.62 (define @t104 () (or @t100 (tptp.big_f @t97 @t102 @t102))) % 0.36/0.62 (define @t105 () (and @t104 @t84 @t83)) % 0.36/0.62 (define @t106 () (or (and (or @t101 @t103) @t82 @t85) @t105 (not @t103))) % 0.36/0.62 (define @t107 () (tptp.big_f @t80 @t80 @t97)) % 0.36/0.62 (define @t108 () (not @t107)) % 0.36/0.62 (define @t109 () (or @t96 @t99)) % 0.36/0.62 (define @t110 () (and @t109 @t84 @t83)) % 0.36/0.62 (define @t111 () (or @t85 @t107)) % 0.36/0.62 (define @t112 () (and @t111 @t82 @t85)) % 0.36/0.62 (define @t113 () (or @t112 @t110 @t108)) % 0.36/0.62 (define @t114 () (@list @t113)) % 0.36/0.62 (define @t115 () (@list false)) % 0.36/0.62 (define @t116 () (@list @t107)) % 0.36/0.62 (define @t117 () (not @t90)) % 0.36/0.62 (define @t118 () (@list true true)) % 0.36/0.62 (define @t119 () (not @t111)) % 0.36/0.62 (define @t120 () (not @t85)) % 0.36/0.62 (define @t121 () (not @t83)) % 0.36/0.62 (define @t122 () (not @t104)) % 0.36/0.62 (define @t123 () (@list true false true)) % 0.36/0.62 (define @t124 () (not @t109)) % 0.36/0.62 (assume @p1 @t30) % 0.36/0.62 (assume @p2 true) % 0.36/0.62 (step @p3 :rule refl :args (@t40)) % 0.36/0.62 (step @p4 :rule refl :args (@t45)) % 0.36/0.62 (step @p5 :rule bool-not-eq-elim1 :args (@t4 @t36)) % 0.36/0.62 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((and (not @t46) @t45))) % 0.36/0.62 (step @p7 :rule bool-or-de-morgan :args (@t46 @t44 false)) % 0.36/0.62 (step @p8 :rule trans :premises (@p7 @p6)) % 0.36/0.62 (step @p9 :rule nary_cong :premises (@p8 @p3) :args ((or (not @t47) @t40))) % 0.36/0.62 (step @p10 :rule bool-and-de-morgan :args (@t47 @t39 true)) % 0.36/0.62 (step @p11 :rule trans :premises (@p10 @p9)) % 0.36/0.62 (step @p12 :rule cong :premises (@p11) :args ((forall @t28 (not (and @t47 @t39))))) % 0.36/0.62 (step @p13 :rule refl :args (@t39)) % 0.36/0.62 (step @p14 :rule quant-miniscope-or :args ((= (forall @t43 @t48) @t47))) % 0.36/0.62 (step @p15 :rule aci_norm :args ((= @t49 @t48))) % 0.36/0.62 (step @p16 :rule cong :premises (@p15) :args (@t50)) % 0.36/0.62 (step @p17 :rule quant-unused-vars :args ((= @t52 @t50))) % 0.36/0.62 (step @p18 :rule trans :premises (@p17 @p16 @p14)) % 0.36/0.62 (step @p19 :rule nary_cong :premises (@p18 @p13) :args ((and @t52 @t39))) % 0.36/0.62 (step @p20 :rule alpha_equiv :args (@t61 @t62 (@list @t32 @t31))) % 0.36/0.62 (step @p21 :rule alpha_equiv :args (@t65 @t62 (@list @t41 @t51))) % 0.36/0.62 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t66)) % 0.36/0.62 (step @p23 :rule quant-miniscope-and :args ((= (forall @t26 (and @t64 @t60)) @t66))) % 0.36/0.62 (step @p24 :rule trans :premises (@p23 @p22)) % 0.36/0.62 (step @p25 :rule trans :premises (@p24 @p19)) % 0.36/0.62 (step @p26 :rule refl :args (@t60)) % 0.36/0.62 (step @p27 :rule eq-symm :args (@t36 @t4)) % 0.36/0.62 (step @p28 :rule refl :args (@t63)) % 0.36/0.62 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t67)) % 0.36/0.62 (step @p30 :rule nary_cong :premises (@p29 @p26) :args (@t68)) % 0.36/0.62 (step @p31 :rule cong :premises (@p30) :args ((forall @t26 @t68))) % 0.36/0.62 (step @p32 :rule trans :premises (@p31 @p25)) % 0.36/0.62 (step @p33 :rule refl :args (@t60)) % 0.36/0.62 (step @p34 :rule bool-not-eq-elim1 :args (@t3 @t4)) % 0.36/0.62 (step @p35 :rule refl :args (@t63)) % 0.36/0.62 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t63 (not @t69)))) % 0.36/0.62 (step @p37 :rule bool-and-de-morgan :args (@t6 @t69 true)) % 0.36/0.62 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.62 (step @p39 :rule nary_cong :premises (@p38 @p33) :args ((and (not @t70) @t60))) % 0.36/0.62 (step @p40 :rule bool-or-de-morgan :args (@t70 @t59 false)) % 0.36/0.62 (step @p41 :rule trans :premises (@p40 @p39)) % 0.36/0.62 (step @p42 :rule cong :premises (@p41) :args (@t72)) % 0.36/0.62 (step @p43 :rule trans :premises (@p42 @p32)) % 0.36/0.62 (step @p44 :rule cong :premises (@p43) :args (@t73)) % 0.36/0.62 (step @p45 :rule exists-elim :args ((= (exists @t26 @t71) @t73))) % 0.36/0.62 (step @p46 :rule trans :premises (@p45 @p44)) % 0.36/0.62 (step @p47 :rule quant-miniscope-or :args ((= (forall @t24 @t74) @t71))) % 0.36/0.62 (step @p48 :rule aci_norm :args ((= @t75 @t74))) % 0.36/0.62 (step @p49 :rule cong :premises (@p48) :args ((forall @t24 @t75))) % 0.36/0.62 (step @p50 :rule trans :premises (@p49 @p47)) % 0.36/0.62 (step @p51 :rule aci_norm :args ((= (or @t57 @t76) @t75))) % 0.36/0.62 (step @p52 :rule aci_norm :args ((= (or @t55 (or @t53 @t70)) @t76))) % 0.36/0.62 (step @p53 :rule bool-impl-elim :args (@t10 @t70)) % 0.36/0.62 (step @p54 :rule aci_norm :args ((= (and @t54 (and @t3 @t34)) @t55))) % 0.36/0.62 (step @p55 :rule bool-implies-de-morgan :args (@t3 @t4)) % 0.36/0.62 (step @p56 :rule bool-impl-elim :args (@t14 @t13)) % 0.36/0.62 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((and @t15 (not @t12)))) % 0.36/0.62 (step @p58 :rule trans :premises (@p57 @p54)) % 0.36/0.62 (step @p59 :rule bool-implies-de-morgan :args (@t15 @t12)) % 0.36/0.62 (step @p60 :rule trans :premises (@p59 @p58)) % 0.36/0.62 (step @p61 :rule nary_cong :premises (@p60 @p53) :args ((or (not @t16) @t77))) % 0.36/0.62 (step @p62 :rule trans :premises (@p61 @p52)) % 0.36/0.62 (step @p63 :rule bool-impl-elim :args (@t16 @t77)) % 0.36/0.62 (step @p64 :rule trans :premises (@p63 @p62)) % 0.36/0.62 (step @p65 :rule aci_norm :args ((= (and @t56 (and @t4 @t36)) @t57))) % 0.36/0.62 (step @p66 :rule bool-implies-de-morgan :args (@t4 @t3)) % 0.36/0.62 (step @p67 :rule bool-impl-elim :args (@t20 @t19)) % 0.36/0.62 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((and @t21 (not @t18)))) % 0.36/0.62 (step @p69 :rule trans :premises (@p68 @p65)) % 0.36/0.62 (step @p70 :rule bool-implies-de-morgan :args (@t21 @t18)) % 0.36/0.62 (step @p71 :rule trans :premises (@p70 @p69)) % 0.36/0.62 (step @p72 :rule nary_cong :premises (@p71 @p64) :args ((or (not @t22) @t78))) % 0.36/0.62 (step @p73 :rule trans :premises (@p72 @p51)) % 0.36/0.62 (step @p74 :rule bool-impl-elim :args (@t22 @t78)) % 0.36/0.62 (step @p75 :rule trans :premises (@p74 @p73)) % 0.36/0.62 (step @p76 :rule cong :premises (@p75) :args ((forall @t24 (=> @t22 @t78)))) % 0.36/0.62 (step @p77 :rule trans :premises (@p76 @p50)) % 0.36/0.62 (step @p78 :rule eq-symm :args (@t4 @t3)) % 0.36/0.62 (step @p79 :rule refl :args (@t6)) % 0.36/0.62 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t7)) % 0.36/0.62 (step @p81 :rule refl :args (@t10)) % 0.36/0.62 (step @p82 :rule cong :premises (@p81 @p80) :args (@t11)) % 0.36/0.62 (step @p83 :rule refl :args (@t16)) % 0.36/0.62 (step @p84 :rule cong :premises (@p83 @p82) :args (@t17)) % 0.36/0.62 (step @p85 :rule refl :args (@t22)) % 0.36/0.62 (step @p86 :rule cong :premises (@p85 @p84) :args (@t23)) % 0.36/0.62 (step @p87 :rule cong :premises (@p86) :args (@t25)) % 0.36/0.62 (step @p88 :rule trans :premises (@p87 @p77)) % 0.36/0.62 (step @p89 :rule cong :premises (@p88) :args (@t27)) % 0.36/0.62 (step @p90 :rule trans :premises (@p89 @p46)) % 0.36/0.62 (step @p91 :rule cong :premises (@p90) :args (@t29)) % 0.36/0.62 (step @p92 :rule trans :premises (@p91 @p12)) % 0.36/0.62 (step @p93 :rule cong :premises (@p92) :args (@t30)) % 0.36/0.62 (step @p94 :rule eq_resolve :premises (@p1 @p93)) % 0.36/0.62 (step @p95 :rule skolemize :premises (@p94)) % 0.36/0.62 (step @p96 :rule bool-double-not-elim :args (@t86)) % 0.36/0.62 (step @p97 :rule refl :args (@t92)) % 0.36/0.62 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t92 (not @t87)))) % 0.36/0.62 (step @p99 :rule cnf_or_neg :args (@t92 1)) % 0.36/0.62 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.36/0.62 (step @p101 :rule reordering :premises (@p100) :args ((or @t86 @t92))) % 0.36/0.62 (step @p102 :rule chain_m_resolution :premises (@p101 @p95) :args (@t86 @t93 @t94)) % 0.36/0.62 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t97 @t97))) % 0.36/0.62 (step @p104 :rule skolemize :premises (@p103)) % 0.36/0.62 (step @p105 :rule cnf_or_neg :args (@t106 1)) % 0.36/0.62 (step @p106 :rule chain_m_resolution :premises (@p105 @p104) :args ((not @t105) @t93 (@list @t106))) % 0.36/0.62 (step @p107 :rule cnf_or_neg :args (@t92 0)) % 0.36/0.62 (step @p108 :rule chain_m_resolution :premises (@p107 @p95) :args ((not @t91) @t93 @t94)) % 0.36/0.62 (step @p109 :rule instantiate :premises (@p102) :args ((@list @t80 @t80))) % 0.36/0.62 (step @p110 :rule skolemize :premises (@p109)) % 0.36/0.62 (step @p111 :rule bool-double-not-elim :args (@t107)) % 0.36/0.62 (step @p112 :rule refl :args (@t113)) % 0.36/0.62 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t113 (not @t108)))) % 0.36/0.62 (step @p114 :rule cnf_or_neg :args (@t113 2)) % 0.36/0.62 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.36/0.62 (step @p116 :rule reordering :premises (@p115) :args ((or @t107 @t113))) % 0.36/0.62 (step @p117 :rule chain_m_resolution :premises (@p116 @p110) :args (@t107 @t93 @t114)) % 0.36/0.62 (assume-push @p180 @t88) % 0.36/0.62 (step @p119 :rule instantiate :premises (@p180) :args ((@list @t97))) % 0.36/0.62 (step-pop @p181 :rule scope :premises (@p119)) % 0.36/0.62 (step @p120 :rule process_scope :premises (@p181) :args (@t108)) % 0.36/0.62 (step @p122 :rule implies_elim :premises (@p120)) % 0.36/0.62 (step @p123 :rule chain_m_resolution :premises (@p122 @p117) :args (@t89 @t115 @t116)) % 0.36/0.62 (step @p124 :rule bool-double-not-elim :args (@t88)) % 0.36/0.62 (step @p125 :rule refl :args (@t117)) % 0.36/0.62 (step @p126 :rule refl :args (@t91)) % 0.36/0.62 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124) :args ((or @t91 @t117 (not @t89)))) % 0.36/0.62 (step @p128 :rule cnf_and_neg :args (@t91)) % 0.36/0.62 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.36/0.62 (step @p130 :rule reordering :premises (@p129) :args ((or @t88 @t91 @t117))) % 0.36/0.62 (step @p131 :rule chain_m_resolution :premises (@p130 @p123 @p108) :args (@t117 @t118 (@list @t88 @t91))) % 0.36/0.62 (step @p132 :rule cnf_equiv_neg1 :args (@t90)) % 0.36/0.62 (step @p133 :rule reordering :premises (@p132) :args ((or @t83 @t85 @t90))) % 0.36/0.62 (step @p134 :rule cnf_or_neg :args (@t113 0)) % 0.36/0.62 (step @p135 :rule chain_m_resolution :premises (@p134 @p110) :args ((not @t112) @t93 @t114)) % 0.36/0.62 (step @p136 :rule cnf_or_neg :args (@t111 1)) % 0.36/0.62 (step @p137 :rule chain_m_resolution :premises (@p136 @p117) :args (@t111 @t115 @t116)) % 0.36/0.62 (step @p138 :rule bool-double-not-elim :args (@t84)) % 0.36/0.62 (step @p139 :rule refl :args (@t83)) % 0.36/0.62 (step @p140 :rule refl :args (@t119)) % 0.36/0.62 (step @p141 :rule refl :args (@t112)) % 0.36/0.62 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139 @p138) :args ((or @t112 @t119 @t83 @t120))) % 0.36/0.62 (step @p143 :rule cnf_and_neg :args (@t112)) % 0.36/0.62 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.36/0.62 (step @p145 :rule reordering :premises (@p144) :args ((or @t83 @t84 @t112 @t119))) % 0.36/0.62 (step @p146 :rule chain_m_resolution :premises (@p145 @p137 @p135 @p133 @p131) :args (@t83 (@list false true true true) (@list @t111 @t112 @t84 @t90))) % 0.36/0.62 (step @p147 :rule bool-double-not-elim :args (@t82)) % 0.36/0.62 (step @p148 :rule refl :args (@t90)) % 0.36/0.62 (step @p149 :rule nary_cong :premises (@p148 @p147 @p138) :args ((or @t90 @t121 @t120))) % 0.36/0.62 (step @p150 :rule cnf_equiv_neg2 :args (@t90)) % 0.36/0.62 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.36/0.62 (step @p152 :rule reordering :premises (@p151) :args ((or @t82 @t84 @t90))) % 0.36/0.62 (step @p153 :rule chain_m_resolution :premises (@p152 @p146 @p131) :args (@t84 @t118 (@list @t82 @t90))) % 0.36/0.62 (step @p154 :rule refl :args (@t85)) % 0.36/0.62 (step @p155 :rule refl :args (@t122)) % 0.36/0.62 (step @p156 :rule refl :args (@t105)) % 0.36/0.62 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154 @p147) :args ((or @t105 @t122 @t85 @t121))) % 0.36/0.62 (step @p158 :rule cnf_and_neg :args (@t105)) % 0.36/0.62 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.36/0.62 (step @p160 :rule reordering :premises (@p159) :args ((or @t82 @t85 @t105 @t122))) % 0.36/0.62 (step @p161 :rule chain_m_resolution :premises (@p160 @p146 @p153 @p106) :args (@t122 @t123 (@list @t82 @t84 @t105))) % 0.36/0.62 (step @p162 :rule cnf_or_neg :args (@t113 1)) % 0.36/0.62 (step @p163 :rule chain_m_resolution :premises (@p162 @p110) :args ((not @t110) @t93 @t114)) % 0.36/0.62 (step @p164 :rule refl :args (@t124)) % 0.36/0.62 (step @p165 :rule refl :args (@t110)) % 0.36/0.62 (step @p166 :rule nary_cong :premises (@p165 @p164 @p154 @p147) :args ((or @t110 @t124 @t85 @t121))) % 0.36/0.62 (step @p167 :rule cnf_and_neg :args (@t110)) % 0.36/0.62 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.36/0.62 (step @p169 :rule reordering :premises (@p168) :args ((or @t82 @t85 @t110 @t124))) % 0.36/0.62 (step @p170 :rule chain_m_resolution :premises (@p169 @p146 @p153 @p163) :args (@t124 @t123 (@list @t82 @t84 @t110))) % 0.36/0.62 (step @p171 :rule cnf_or_neg :args (@t109 1)) % 0.36/0.62 (step @p172 :rule chain_m_resolution :premises (@p171 @p170) :args (@t100 @t93 (@list @t109))) % 0.36/0.62 (step @p173 :rule bool-double-not-elim :args (@t99)) % 0.36/0.62 (step @p174 :rule refl :args (@t104)) % 0.36/0.62 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t104 (not @t100)))) % 0.36/0.62 (step @p176 :rule cnf_or_neg :args (@t104 0)) % 0.36/0.62 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.36/0.62 (step @p178 :rule reordering :premises (@p177) :args ((or @t99 @t104))) % 0.36/0.62 (step @p179 false :rule chain_m_resolution :premises (@p178 @p172 @p161) :args (false @t118 (@list @t99 @t104))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------