%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS086+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:28:53 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS086+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.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 05:27:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.55 % SZS status Unsatisfiable % 0.28/0.55 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.i2003_11_14_17_19_42328 $$unsorted) % 0.37/0.57 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t3 () (= @t2 @t1)) % 0.37/0.57 (define @t4 () (@list @t2 @t1)) % 0.37/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t6 () (@list @t2 @t1 @t5)) % 0.37/0.57 (define @t7 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.37/0.57 (define @t9 () (tptp.cowlThing @t7)) % 0.37/0.57 (define @t10 () (@list @t7)) % 0.37/0.57 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.37/0.57 (define @t12 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t13 () (tptp.cp1 @t12)) % 0.37/0.57 (define @t14 () (@var "W" $$unsorted)) % 0.37/0.57 (define @t15 () (tptp.cp1 @t14)) % 0.37/0.57 (define @t16 () (not @t15)) % 0.37/0.57 (define @t17 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t18 () (tptp.rf @t17 @t14)) % 0.37/0.57 (define @t19 () (and @t18 @t16)) % 0.37/0.57 (define @t20 () (@list @t14)) % 0.37/0.57 (define @t21 () (exists @t20 @t19)) % 0.37/0.57 (define @t22 () (tptp.rinvF @t12 @t17)) % 0.37/0.57 (define @t23 () (and @t22 @t21)) % 0.37/0.57 (define @t24 () (@list @t17)) % 0.37/0.57 (define @t25 () (exists @t24 @t23)) % 0.37/0.57 (define @t26 () (tptp.rf @t7 @t12)) % 0.37/0.57 (define @t27 () (and @t26 @t25 @t13)) % 0.37/0.57 (define @t28 () (@list @t12)) % 0.37/0.57 (define @t29 () (exists @t28 @t27)) % 0.37/0.57 (define @t30 () (tptp.cUnsatisfiable @t7)) % 0.37/0.57 (define @t31 () (= @t30 @t29)) % 0.37/0.57 (define @t32 () (forall @t10 @t31)) % 0.37/0.57 (define @t33 () (@var "Y1" $$unsorted)) % 0.37/0.57 (define @t34 () (@var "Y0" $$unsorted)) % 0.37/0.57 (define @t35 () (= @t34 @t33)) % 0.37/0.57 (define @t36 () (tptp.rf @t7 @t33)) % 0.37/0.57 (define @t37 () (tptp.rf @t7 @t34)) % 0.37/0.57 (define @t38 () (and @t37 @t36)) % 0.37/0.57 (define @t39 () (@list @t34 @t33)) % 0.37/0.57 (define @t40 () (forall @t39 (=> @t38 @t35))) % 0.37/0.57 (define @t41 () (=> @t9 @t40)) % 0.37/0.57 (define @t42 () (forall @t10 @t41)) % 0.37/0.57 (define @t43 () (@list @t7 @t12)) % 0.37/0.57 (define @t44 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_42328)) % 0.37/0.57 (define @t45 () (@var "BOUND_VARIABLE_7783" $$unsorted)) % 0.37/0.57 (define @t46 () (tptp.cp1 @t45)) % 0.37/0.57 (define @t47 () (@var "BOUND_VARIABLE_7781" $$unsorted)) % 0.37/0.57 (define @t48 () (not (tptp.rf @t47 @t45))) % 0.37/0.57 (define @t49 () (not (tptp.rinvF @t12 @t47))) % 0.37/0.57 (define @t50 () (not @t13)) % 0.37/0.57 (define @t51 () (not @t26)) % 0.37/0.57 (define @t52 () (or @t49 @t48 @t46)) % 0.37/0.57 (define @t53 () (or @t51 @t52 @t50)) % 0.37/0.57 (define @t54 () (@list @t12 @t47 @t45)) % 0.37/0.57 (define @t55 () (forall @t54 @t53)) % 0.37/0.57 (define @t56 () (@list @t47 @t45)) % 0.37/0.57 (define @t57 () (forall @t56 @t53)) % 0.37/0.57 (define @t58 () (forall @t56 @t52)) % 0.37/0.57 (define @t59 () (@var "BOUND_VARIABLE_7760" $$unsorted)) % 0.37/0.57 (define @t60 () (or @t51 @t58 @t50)) % 0.37/0.57 (define @t61 () (tptp.cp1 @t59)) % 0.37/0.57 (define @t62 () (not (tptp.rf @t17 @t59))) % 0.37/0.57 (define @t63 () (not @t22)) % 0.37/0.57 (define @t64 () (or @t63 @t62 @t61)) % 0.37/0.57 (define @t65 () (@list @t17 @t59)) % 0.37/0.57 (define @t66 () (forall @t65 @t64)) % 0.37/0.57 (define @t67 () (not @t66)) % 0.37/0.57 (define @t68 () (not @t67)) % 0.37/0.57 (define @t69 () (or @t51 @t68 @t50)) % 0.37/0.57 (define @t70 () (and @t26 @t67 @t13)) % 0.37/0.57 (define @t71 () (forall @t28 (not @t70))) % 0.37/0.57 (define @t72 () (not @t71)) % 0.37/0.57 (define @t73 () (or @t62 @t61)) % 0.37/0.57 (define @t74 () (or @t63 @t73)) % 0.37/0.57 (define @t75 () (forall @t65 @t74)) % 0.37/0.57 (define @t76 () (@list @t59)) % 0.37/0.57 (define @t77 () (forall @t76 @t74)) % 0.37/0.57 (define @t78 () (forall @t76 @t73)) % 0.37/0.57 (define @t79 () (or @t63 @t78)) % 0.37/0.57 (define @t80 () (not @t18)) % 0.37/0.57 (define @t81 () (forall @t20 (or @t80 @t15))) % 0.37/0.57 (define @t82 () (not @t81)) % 0.37/0.57 (define @t83 () (and @t22 @t82)) % 0.37/0.57 (define @t84 () (forall @t24 (not @t83))) % 0.37/0.57 (define @t85 () (not @t84)) % 0.37/0.57 (define @t86 () (forall @t20 (not @t19))) % 0.37/0.57 (define @t87 () (not @t86)) % 0.37/0.57 (define @t88 () (forall @t54 (or (not (tptp.rf tptp.i2003_11_14_17_19_42328 @t12)) @t50 @t49 @t48 @t46))) % 0.37/0.57 (define @t89 () (not @t88)) % 0.37/0.57 (define @t90 () (= @t44 @t89)) % 0.37/0.57 (define @t91 () (@list false false)) % 0.37/0.57 (define @t92 () (@quantifiers_skolemize @t88 0)) % 0.37/0.57 (define @t93 () (tptp.cp1 @t92)) % 0.37/0.57 (define @t94 () (@quantifiers_skolemize @t88 2)) % 0.37/0.57 (define @t95 () (tptp.cp1 @t94)) % 0.37/0.57 (define @t96 () (@quantifiers_skolemize @t88 1)) % 0.37/0.57 (define @t97 () (tptp.rf @t96 @t94)) % 0.37/0.57 (define @t98 () (not @t97)) % 0.37/0.57 (define @t99 () (tptp.rinvF @t92 @t96)) % 0.37/0.57 (define @t100 () (not @t99)) % 0.37/0.57 (define @t101 () (not @t93)) % 0.37/0.57 (define @t102 () (or (not (tptp.rf tptp.i2003_11_14_17_19_42328 @t92)) @t101 @t100 @t98 @t95)) % 0.37/0.57 (define @t103 () (@list true)) % 0.37/0.57 (define @t104 () (@list @t102)) % 0.37/0.57 (define @t105 () (@var "BOUND_VARIABLE_7813" $$unsorted)) % 0.37/0.57 (define @t106 () (@var "BOUND_VARIABLE_7811" $$unsorted)) % 0.37/0.57 (define @t107 () (= @t106 @t105)) % 0.37/0.57 (define @t108 () (not (tptp.rf @t7 @t105))) % 0.37/0.57 (define @t109 () (not (tptp.rf @t7 @t106))) % 0.37/0.57 (define @t110 () (not @t9)) % 0.37/0.57 (define @t111 () (or @t110 @t109 @t108 @t107)) % 0.37/0.57 (define @t112 () (or @t109 @t108 @t107)) % 0.37/0.57 (define @t113 () (or @t110 @t112)) % 0.37/0.57 (define @t114 () (@list @t7 @t106 @t105)) % 0.37/0.57 (define @t115 () (forall @t114 @t113)) % 0.37/0.57 (define @t116 () (@list @t106 @t105)) % 0.37/0.57 (define @t117 () (forall @t116 @t113)) % 0.37/0.57 (define @t118 () (forall @t116 @t112)) % 0.37/0.57 (define @t119 () (or @t110 @t118)) % 0.37/0.57 (define @t120 () (not @t36)) % 0.37/0.57 (define @t121 () (not @t37)) % 0.37/0.57 (define @t122 () (or @t121 @t120 @t35)) % 0.37/0.57 (define @t123 () (forall @t39 @t122)) % 0.37/0.57 (define @t124 () (tptp.rf @t96 @t92)) % 0.37/0.57 (define @t125 () (not @t124)) % 0.37/0.57 (define @t126 () (tptp.cowlThing @t96)) % 0.37/0.57 (define @t127 () (not @t126)) % 0.37/0.57 (define @t128 () (or @t127 @t98 @t125 (= @t94 @t92))) % 0.37/0.57 (define @t129 () (forall @t114 @t111)) % 0.37/0.57 (define @t130 () (= @t92 @t94)) % 0.37/0.57 (define @t131 () (or @t127 @t98 @t125 @t130)) % 0.37/0.57 (define @t132 () (forall @t10 @t8)) % 0.37/0.57 (define @t133 () (@list @t7)) % 0.37/0.57 (define @t134 () (forall @t10 @t9)) % 0.37/0.57 (define @t135 () (and @t134 @t132)) % 0.37/0.57 (define @t136 () (= @t99 @t124)) % 0.37/0.57 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.37/0.57 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.37/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.37/0.57 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.37/0.57 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.37/0.57 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.37/0.57 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.37/0.57 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.37/0.57 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.37/0.57 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.37/0.57 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.37/0.57 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.37/0.57 (assume @p13 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.37/0.57 (assume @p14 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.37/0.57 (assume @p15 @t11) % 0.37/0.57 (assume @p16 (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.37/0.57 (assume @p17 @t32) % 0.37/0.57 (assume @p18 @t42) % 0.37/0.57 (assume @p19 (forall @t43 (= (tptp.rinvF @t7 @t12) (tptp.rf @t12 @t7)))) % 0.37/0.57 (assume @p20 (forall @t43 (= (tptp.rinvR @t7 @t12) (tptp.rr @t12 @t7)))) % 0.37/0.57 (assume @p21 (forall (@list @t7 @t12 @t17) (=> (and (tptp.rr @t7 @t12) (tptp.rr @t12 @t17)) (tptp.rr @t7 @t17)))) % 0.37/0.57 (assume @p22 @t44) % 0.37/0.57 (step @p23 :rule evaluate :args ((= false true))) % 0.37/0.57 (step @p24 :rule aci_norm :args ((= @t53 (or @t51 @t50 @t49 @t48 @t46)))) % 0.37/0.57 (step @p25 :rule cong :premises (@p24) :args (@t55)) % 0.37/0.57 (step @p26 :rule quant-merge-prenex :args ((= (forall @t28 @t57) @t55))) % 0.37/0.57 (step @p27 :rule refl :args (@t50)) % 0.37/0.57 (step @p28 :rule alpha_equiv :args (@t58 (@list @t47 @t45) (@list @t17 @t59))) % 0.37/0.57 (step @p29 :rule refl :args (@t51)) % 0.37/0.57 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args (@t60)) % 0.37/0.57 (step @p31 :rule quant-miniscope-or :args ((= @t57 @t60))) % 0.37/0.57 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.57 (step @p33 :rule symm :premises (@p32)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33) :args ((forall @t28 (or @t51 @t66 @t50)))) % 0.37/0.57 (step @p35 :rule trans :premises (@p34 @p26)) % 0.37/0.57 (step @p36 :rule trans :premises (@p35 @p25)) % 0.37/0.57 (step @p37 :rule bool-double-not-elim :args (@t66)) % 0.37/0.57 (step @p38 :rule nary_cong :premises (@p29 @p37 @p27) :args (@t69)) % 0.37/0.57 (step @p39 :rule aci_norm :args ((= (or @t51 (or @t68 @t50)) @t69))) % 0.37/0.57 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.57 (step @p41 :rule bool-and-de-morgan :args (@t67 @t13 true)) % 0.37/0.57 (step @p42 :rule nary_cong :premises (@p29 @p41) :args ((or @t51 (not (and @t67 @t13))))) % 0.37/0.57 (step @p43 :rule bool-and-de-morgan :args (@t26 @t67 (and @t13))) % 0.37/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.57 (step @p45 :rule trans :premises (@p44 @p40)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45) :args (@t71)) % 0.37/0.57 (step @p47 :rule trans :premises (@p46 @p36)) % 0.37/0.57 (step @p48 :rule cong :premises (@p47) :args (@t72)) % 0.37/0.57 (step @p49 :rule exists-elim :args ((= (exists @t28 @t70) @t72))) % 0.37/0.57 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.57 (step @p51 :rule refl :args (@t13)) % 0.37/0.57 (step @p52 :rule aci_norm :args ((= @t74 @t64))) % 0.37/0.57 (step @p53 :rule cong :premises (@p52) :args (@t75)) % 0.37/0.57 (step @p54 :rule quant-merge-prenex :args ((= (forall @t24 @t77) @t75))) % 0.37/0.57 (step @p55 :rule alpha_equiv :args (@t78 (@list @t59) (@list @t14))) % 0.37/0.57 (step @p56 :rule refl :args (@t63)) % 0.37/0.57 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t79)) % 0.37/0.57 (step @p58 :rule quant-miniscope-or :args ((= @t77 @t79))) % 0.37/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.57 (step @p60 :rule symm :premises (@p59)) % 0.37/0.57 (step @p61 :rule cong :premises (@p60) :args ((forall @t24 (or @t63 @t81)))) % 0.37/0.57 (step @p62 :rule trans :premises (@p61 @p54)) % 0.37/0.57 (step @p63 :rule trans :premises (@p62 @p53)) % 0.37/0.57 (step @p64 :rule bool-double-not-elim :args (@t81)) % 0.37/0.57 (step @p65 :rule nary_cong :premises (@p56 @p64) :args ((or @t63 (not @t82)))) % 0.37/0.57 (step @p66 :rule bool-and-de-morgan :args (@t22 @t82 true)) % 0.37/0.57 (step @p67 :rule trans :premises (@p66 @p65)) % 0.37/0.57 (step @p68 :rule cong :premises (@p67) :args (@t84)) % 0.37/0.57 (step @p69 :rule trans :premises (@p68 @p63)) % 0.37/0.57 (step @p70 :rule cong :premises (@p69) :args (@t85)) % 0.37/0.57 (step @p71 :rule exists-elim :args ((= (exists @t24 @t83) @t85))) % 0.37/0.57 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.57 (step @p73 :rule bool-double-not-elim :args (@t15)) % 0.37/0.57 (step @p74 :rule refl :args (@t80)) % 0.37/0.57 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t80 (not @t16)))) % 0.37/0.57 (step @p76 :rule bool-and-de-morgan :args (@t18 @t16 true)) % 0.37/0.57 (step @p77 :rule trans :premises (@p76 @p75)) % 0.37/0.57 (step @p78 :rule cong :premises (@p77) :args (@t86)) % 0.37/0.57 (step @p79 :rule cong :premises (@p78) :args (@t87)) % 0.37/0.57 (step @p80 :rule exists-elim :args ((= @t21 @t87))) % 0.37/0.57 (step @p81 :rule trans :premises (@p80 @p79)) % 0.37/0.57 (step @p82 :rule refl :args (@t22)) % 0.37/0.57 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t23)) % 0.37/0.57 (step @p84 :rule cong :premises (@p83) :args (@t25)) % 0.37/0.57 (step @p85 :rule trans :premises (@p84 @p72)) % 0.37/0.57 (step @p86 :rule refl :args (@t26)) % 0.37/0.57 (step @p87 :rule nary_cong :premises (@p86 @p85 @p51) :args (@t27)) % 0.37/0.57 (step @p88 :rule cong :premises (@p87) :args (@t29)) % 0.37/0.57 (step @p89 :rule trans :premises (@p88 @p50)) % 0.37/0.57 (step @p90 :rule refl :args (@t30)) % 0.37/0.57 (step @p91 :rule cong :premises (@p90 @p89) :args (@t31)) % 0.37/0.57 (step @p92 :rule cong :premises (@p91) :args (@t32)) % 0.37/0.57 (step @p93 :rule eq_resolve :premises (@p17 @p92)) % 0.37/0.57 (step @p94 :rule instantiate :premises (@p93) :args ((@list tptp.i2003_11_14_17_19_42328))) % 0.37/0.57 (step @p95 :rule cnf_equiv_pos1 :args (@t90)) % 0.37/0.57 (step @p96 :rule reordering :premises (@p95) :args ((or (not @t44) @t89 (not @t90)))) % 0.37/0.57 (step @p97 :rule chain_m_resolution :premises (@p96 @p22 @p94) :args (@t89 @t91 (@list @t44 @t90))) % 0.37/0.57 (step @p98 :rule skolemize :premises (@p97)) % 0.37/0.57 (step @p99 :rule bool-double-not-elim :args (@t93)) % 0.37/0.57 (step @p100 :rule refl :args (@t102)) % 0.37/0.57 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t102 (not @t101)))) % 0.37/0.57 (step @p102 :rule cnf_or_neg :args (@t102 1)) % 0.37/0.57 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.37/0.57 (step @p104 :rule reordering :premises (@p103) :args ((or @t93 @t102))) % 0.37/0.57 (step @p105 :rule chain_m_resolution :premises (@p104 @p98) :args (@t93 @t103 @t104)) % 0.37/0.57 (step @p106 :rule true_intro :premises (@p105)) % 0.37/0.57 (step @p107 :rule aci_norm :args ((= @t113 @t111))) % 0.37/0.57 (step @p108 :rule cong :premises (@p107) :args (@t115)) % 0.37/0.57 (step @p109 :rule quant-merge-prenex :args ((= (forall @t10 @t117) @t115))) % 0.37/0.57 (step @p110 :rule alpha_equiv :args (@t118 (@list @t106 @t105) (@list @t34 @t33))) % 0.37/0.57 (step @p111 :rule refl :args (@t110)) % 0.37/0.57 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t119)) % 0.37/0.57 (step @p113 :rule quant-miniscope-or :args ((= @t117 @t119))) % 0.37/0.57 (step @p114 :rule trans :premises (@p113 @p112)) % 0.37/0.57 (step @p115 :rule symm :premises (@p114)) % 0.37/0.57 (step @p116 :rule cong :premises (@p115) :args ((forall @t10 (or @t110 @t123)))) % 0.37/0.57 (step @p117 :rule trans :premises (@p116 @p109)) % 0.37/0.57 (step @p118 :rule trans :premises (@p117 @p108)) % 0.37/0.57 (step @p119 :rule bool-impl-elim :args (@t9 @t123)) % 0.37/0.57 (step @p120 :rule cong :premises (@p119) :args ((forall @t10 (=> @t9 @t123)))) % 0.37/0.57 (step @p121 :rule trans :premises (@p120 @p118)) % 0.37/0.57 (step @p122 :rule aci_norm :args ((= (or (or @t121 @t120) @t35) @t122))) % 0.37/0.57 (step @p123 :rule refl :args (@t35)) % 0.37/0.57 (step @p124 :rule bool-and-de-morgan :args (@t37 @t36 true)) % 0.37/0.57 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t38) @t35))) % 0.37/0.57 (step @p126 :rule trans :premises (@p125 @p122)) % 0.37/0.57 (step @p127 :rule bool-impl-elim :args (@t38 @t35)) % 0.37/0.57 (step @p128 :rule trans :premises (@p127 @p126)) % 0.37/0.57 (step @p129 :rule cong :premises (@p128) :args (@t40)) % 0.37/0.57 (step @p130 :rule refl :args (@t9)) % 0.37/0.57 (step @p131 :rule cong :premises (@p130 @p129) :args (@t41)) % 0.37/0.57 (step @p132 :rule cong :premises (@p131) :args (@t42)) % 0.37/0.57 (step @p133 :rule trans :premises (@p132 @p121)) % 0.37/0.57 (step @p134 :rule eq_resolve :premises (@p18 @p133)) % 0.37/0.57 (step @p135 :rule eq-symm :args (@t94 @t92)) % 0.37/0.57 (step @p136 :rule refl :args (@t125)) % 0.37/0.57 (step @p137 :rule refl :args (@t98)) % 0.37/0.57 (step @p138 :rule refl :args (@t127)) % 0.37/0.57 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136 @p135) :args (@t128)) % 0.37/0.57 (step @p140 :rule refl :args (@t129)) % 0.37/0.57 (step @p141 :rule cong :premises (@p140 @p139) :args ((=> @t129 @t128))) % 0.37/0.57 (assume-push @p184 @t129) % 0.37/0.57 (step @p143 :rule instantiate :premises (@p134) :args ((@list @t96 @t94 @t92))) % 0.37/0.57 (step-pop @p185 :rule scope :premises (@p143)) % 0.37/0.57 (step @p144 :rule process_scope :premises (@p185) :args (@t128)) % 0.37/0.57 (step @p146 :rule eq_resolve :premises (@p144 @p141)) % 0.37/0.57 (step @p147 :rule implies_elim :premises (@p146)) % 0.37/0.57 (step @p148 :rule chain_m_resolution :premises (@p147 @p134) :args (@t131 (@list false) (@list @t129))) % 0.37/0.57 (step @p149 :rule alpha_equiv :args (@t132 @t133 (@list (@var "BOUND_VARIABLE_7737" $$unsorted)))) % 0.37/0.57 (step @p150 :rule alpha_equiv :args (@t134 @t133 (@list (@var "BOUND_VARIABLE_7732" $$unsorted)))) % 0.37/0.57 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t135)) % 0.37/0.57 (step @p152 :rule quant-miniscope-and :args ((= @t11 @t135))) % 0.37/0.57 (step @p153 :rule trans :premises (@p152 @p151)) % 0.37/0.57 (step @p154 :rule eq_resolve :premises (@p15 @p153)) % 0.37/0.57 (step @p155 :rule and_elim :premises (@p154) :args (0)) % 0.37/0.57 (step @p156 :rule instantiate :premises (@p155) :args ((@list @t96))) % 0.37/0.57 (step @p157 :rule instantiate :premises (@p19) :args ((@list @t92 @t96))) % 0.37/0.57 (step @p158 :rule bool-double-not-elim :args (@t99)) % 0.37/0.57 (step @p159 :rule nary_cong :premises (@p100 @p158) :args ((or @t102 (not @t100)))) % 0.37/0.57 (step @p160 :rule cnf_or_neg :args (@t102 2)) % 0.37/0.57 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.37/0.57 (step @p162 :rule reordering :premises (@p161) :args ((or @t99 @t102))) % 0.37/0.57 (step @p163 :rule chain_m_resolution :premises (@p162 @p98) :args (@t99 @t103 @t104)) % 0.37/0.57 (step @p164 :rule cnf_equiv_pos1 :args (@t136)) % 0.37/0.57 (step @p165 :rule reordering :premises (@p164) :args ((or @t100 @t124 (not @t136)))) % 0.37/0.57 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p157) :args (@t124 @t91 (@list @t99 @t136))) % 0.37/0.57 (step @p167 :rule bool-double-not-elim :args (@t97)) % 0.37/0.57 (step @p168 :rule nary_cong :premises (@p100 @p167) :args ((or @t102 (not @t98)))) % 0.37/0.57 (step @p169 :rule cnf_or_neg :args (@t102 3)) % 0.37/0.57 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.37/0.57 (step @p171 :rule reordering :premises (@p170) :args ((or @t97 @t102))) % 0.37/0.57 (step @p172 :rule chain_m_resolution :premises (@p171 @p98) :args (@t97 @t103 @t104)) % 0.37/0.57 (step @p173 :rule cnf_or_pos :args (@t131)) % 0.37/0.57 (step @p174 :rule reordering :premises (@p173) :args ((or @t98 @t125 @t127 @t130 (not @t131)))) % 0.37/0.57 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p166 @p156 @p148) :args (@t130 (@list false false false false) (@list @t97 @t124 @t126 @t131))) % 0.37/0.57 (step @p176 :rule symm :premises (@p175)) % 0.37/0.57 (step @p177 :rule cong :premises (@p176) :args (@t95)) % 0.37/0.57 (step @p178 :rule cnf_or_neg :args (@t102 4)) % 0.37/0.57 (step @p179 :rule chain_m_resolution :premises (@p178 @p98) :args ((not @t95) @t103 @t104)) % 0.37/0.57 (step @p180 :rule false_intro :premises (@p179)) % 0.37/0.57 (step @p181 :rule symm :premises (@p180)) % 0.37/0.57 (step @p182 :rule trans :premises (@p181 @p177 @p106)) % 0.37/0.57 (step @p183 false :rule eq_resolve :premises (@p182 @p23)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------