%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO094+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:16:20 AM UTC 2026 % Result : Theorem 15.97s 16.19s % Output : Proof 15.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO094+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.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 : Mon Jun 1 23:18:41 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.97/16.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.97/16.19 --- Run --no-e-matching --full-saturate-quant at 6... % 15.97/16.19 % SZS status Theorem % 15.97/16.19 % SZS output start Proof % 15.97/16.19 ( % 15.97/16.19 (declare-sort $$unsorted 0) % 15.97/16.19 (declare-const tptp.open (-> $$unsorted Bool)) % 15.97/16.19 (declare-const tptp.closed (-> $$unsorted Bool)) % 15.97/16.19 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.97/16.19 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 15.97/16.19 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 15.97/16.19 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 15.97/16.19 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 15.97/16.19 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 15.97/16.19 (define @t1 () (@var "C" $$unsorted)) % 15.97/16.19 (define @t2 () (@var "P" $$unsorted)) % 15.97/16.19 (define @t3 () (tptp.incident_c @t2 @t1)) % 15.97/16.19 (define @t4 () (@var "C1" $$unsorted)) % 15.97/16.19 (define @t5 () (tptp.incident_c @t2 @t4)) % 15.97/16.19 (define @t6 () (@list @t2)) % 15.97/16.19 (define @t7 () (forall @t6 (=> @t5 @t3))) % 15.97/16.19 (define @t8 () (tptp.part_of @t4 @t1)) % 15.97/16.19 (define @t9 () (= @t8 @t7)) % 15.97/16.19 (define @t10 () (@list @t1 @t4)) % 15.97/16.19 (define @t11 () (forall @t10 @t9)) % 15.97/16.19 (define @t12 () (@var "C2" $$unsorted)) % 15.97/16.19 (define @t13 () (@var "Q" $$unsorted)) % 15.97/16.19 (define @t14 () (tptp.incident_c @t13 @t4)) % 15.97/16.19 (define @t15 () (tptp.incident_c @t13 @t1)) % 15.97/16.19 (define @t16 () (@list @t13)) % 15.97/16.19 (define @t17 () (= @t1 (tptp.sum @t4 @t12))) % 15.97/16.19 (define @t18 () (tptp.part_of @t12 @t4)) % 15.97/16.19 (define @t19 () (tptp.part_of @t4 @t12)) % 15.97/16.19 (define @t20 () (or @t19 @t18)) % 15.97/16.19 (define @t21 () (tptp.incident_c @t2 @t12)) % 15.97/16.19 (define @t22 () (tptp.part_of @t12 @t1)) % 15.97/16.19 (define @t23 () (and @t8 @t22 @t5 @t21)) % 15.97/16.19 (define @t24 () (@list @t4 @t12)) % 15.97/16.19 (define @t25 () (forall @t24 (=> @t23 @t20))) % 15.97/16.19 (define @t26 () (and @t3 @t25)) % 15.97/16.19 (define @t27 () (tptp.end_point @t2 @t1)) % 15.97/16.19 (define @t28 () (= @t27 @t26)) % 15.97/16.19 (define @t29 () (@list @t2 @t1)) % 15.97/16.19 (define @t30 () (forall @t29 @t28)) % 15.97/16.19 (define @t31 () (not @t27)) % 15.97/16.19 (define @t32 () (tptp.inner_point @t2 @t1)) % 15.97/16.19 (define @t33 () (tptp.end_point @t13 @t4)) % 15.97/16.19 (define @t34 () (tptp.end_point @t13 @t1)) % 15.97/16.19 (define @t35 () (and @t34 @t33)) % 15.97/16.19 (define @t36 () (and @t15 @t14)) % 15.97/16.19 (define @t37 () (forall @t16 (=> @t36 @t35))) % 15.97/16.19 (define @t38 () (and @t3 @t5 @t37)) % 15.97/16.19 (define @t39 () (tptp.meet @t2 @t1 @t4)) % 15.97/16.19 (define @t40 () (= @t39 @t38)) % 15.97/16.19 (define @t41 () (forall (@list @t2 @t1 @t4) @t40)) % 15.97/16.19 (define @t42 () (exists @t6 @t27)) % 15.97/16.19 (define @t43 () (tptp.closed @t1)) % 15.97/16.19 (define @t44 () (@list @t1)) % 15.97/16.19 (define @t45 () (@var "C3" $$unsorted)) % 15.97/16.19 (define @t46 () (exists @t6 @t32)) % 15.97/16.19 (define @t47 () (forall @t44 @t46)) % 15.97/16.19 (define @t48 () (tptp.meet @t2 @t4 @t12)) % 15.97/16.19 (define @t49 () (@list @t1 @t2)) % 15.97/16.19 (define @t50 () (@var "R" $$unsorted)) % 15.97/16.19 (define @t51 () (= @t2 @t13)) % 15.97/16.19 (define @t52 () (@list @t1 @t4 @t12 @t2)) % 15.97/16.19 (define @t53 () (and @t48 @t8 @t22)) % 15.97/16.19 (define @t54 () (forall @t52 (=> @t53 @t31))) % 15.97/16.19 (define @t55 () (not @t54)) % 15.97/16.19 (define @t56 () (not @t22)) % 15.97/16.19 (define @t57 () (not @t8)) % 15.97/16.19 (define @t58 () (not @t48)) % 15.97/16.19 (define @t59 () (or @t58 @t57 @t56 @t31)) % 15.97/16.19 (define @t60 () (forall @t52 @t59)) % 15.97/16.19 (define @t61 () (@quantifiers_skolemize @t60 1)) % 15.97/16.19 (define @t62 () (@quantifiers_skolemize @t60 2)) % 15.97/16.19 (define @t63 () (not @t21)) % 15.97/16.19 (define @t64 () (not @t5)) % 15.97/16.19 (define @t65 () (or @t57 @t56 @t64 @t63)) % 15.97/16.19 (define @t66 () (@quantifiers_skolemize @t60 0)) % 15.97/16.19 (define @t67 () (@quantifiers_skolemize @t60 3)) % 15.97/16.19 (define @t68 () (or @t58 @t57 @t56)) % 15.97/16.19 (define @t69 () (tptp.end_point @t67 @t66)) % 15.97/16.19 (define @t70 () (not @t69)) % 15.97/16.19 (define @t71 () (tptp.part_of @t62 @t66)) % 15.97/16.19 (define @t72 () (not @t71)) % 15.97/16.19 (define @t73 () (tptp.part_of @t61 @t66)) % 15.97/16.19 (define @t74 () (not @t73)) % 15.97/16.19 (define @t75 () (tptp.meet @t67 @t61 @t62)) % 15.97/16.19 (define @t76 () (not @t75)) % 15.97/16.19 (define @t77 () (or @t76 @t74 @t72 @t70)) % 15.97/16.19 (define @t78 () (@list true)) % 15.97/16.19 (define @t79 () (@list @t77)) % 15.97/16.19 (define @t80 () (forall @t24 (or (not (tptp.part_of @t4 @t66)) (not (tptp.part_of @t12 @t66)) (not (tptp.incident_c @t67 @t4)) (not (tptp.incident_c @t67 @t12)) @t19 @t18))) % 15.97/16.19 (define @t81 () (and (tptp.incident_c @t67 @t66) @t80)) % 15.97/16.19 (define @t82 () (= @t69 @t81)) % 15.97/16.19 (define @t83 () (@list false false)) % 15.97/16.19 (define @t84 () (@list false)) % 15.97/16.19 (define @t85 () (@list @t61 @t62)) % 15.97/16.19 (define @t86 () (not @t14)) % 15.97/16.19 (define @t87 () (not @t15)) % 15.97/16.19 (define @t88 () (forall @t16 (or (not (tptp.incident_c @t13 @t61)) (not (tptp.incident_c @t13 @t62)) (and (tptp.end_point @t13 @t61) (tptp.end_point @t13 @t62))))) % 15.97/16.20 (define @t89 () (tptp.incident_c @t67 @t62)) % 15.97/16.20 (define @t90 () (tptp.incident_c @t67 @t61)) % 15.97/16.20 (define @t91 () (and @t90 @t89 @t88)) % 15.97/16.20 (define @t92 () (= @t75 @t91)) % 15.97/16.20 (define @t93 () (not @t91)) % 15.97/16.20 (define @t94 () (@list @t91)) % 15.97/16.20 (define @t95 () (forall @t6 (not (tptp.inner_point @t2 @t62)))) % 15.97/16.20 (define @t96 () (@quantifiers_skolemize @t95 0)) % 15.97/16.20 (define @t97 () (tptp.inner_point @t96 @t62)) % 15.97/16.20 (define @t98 () (not @t95)) % 15.97/16.20 (define @t99 () (not @t97)) % 15.97/16.20 (define @t100 () (not @t99)) % 15.97/16.20 (define @t101 () (tptp.end_point @t96 @t62)) % 15.97/16.20 (define @t102 () (not @t101)) % 15.97/16.20 (define @t103 () (tptp.incident_c @t96 @t62)) % 15.97/16.20 (define @t104 () (and @t103 @t102)) % 15.97/16.20 (define @t105 () (= @t97 @t104)) % 15.97/16.20 (define @t106 () (not @t104)) % 15.97/16.20 (define @t107 () (@list @t104)) % 15.97/16.20 (define @t108 () (@list @t96)) % 15.97/16.20 (define @t109 () (and (tptp.end_point @t96 @t61) @t101)) % 15.97/16.20 (define @t110 () (not @t109)) % 15.97/16.20 (define @t111 () (not @t103)) % 15.97/16.20 (define @t112 () (tptp.incident_c @t96 @t61)) % 15.97/16.20 (define @t113 () (not @t112)) % 15.97/16.20 (define @t114 () (or @t113 @t111 @t109)) % 15.97/16.20 (define @t115 () (@list false true false)) % 15.97/16.20 (define @t116 () (or @t111 @t112)) % 15.97/16.20 (define @t117 () (not @t116)) % 15.97/16.20 (define @t118 () (@list true false)) % 15.97/16.20 (define @t119 () (tptp.incident_c @t2 @t61)) % 15.97/16.20 (define @t120 () (tptp.incident_c @t2 @t62)) % 15.97/16.20 (define @t121 () (forall @t6 (or (not @t120) @t119))) % 15.97/16.20 (define @t122 () (tptp.part_of @t62 @t61)) % 15.97/16.20 (define @t123 () (= @t122 @t121)) % 15.97/16.20 (define @t124 () (not @t122)) % 15.97/16.20 (define @t125 () (tptp.part_of @t61 @t62)) % 15.97/16.20 (define @t126 () (not @t89)) % 15.97/16.20 (define @t127 () (not @t90)) % 15.97/16.20 (define @t128 () (or @t74 @t72 @t127 @t126 @t125 @t122)) % 15.97/16.20 (define @t129 () (forall @t6 (or (not @t119) @t120))) % 15.97/16.20 (define @t130 () (= @t125 @t129)) % 15.97/16.20 (define @t131 () (forall @t6 (not (tptp.inner_point @t2 @t61)))) % 15.97/16.20 (define @t132 () (@quantifiers_skolemize @t131 0)) % 15.97/16.20 (define @t133 () (@list @t132)) % 15.97/16.20 (define @t134 () (tptp.inner_point @t132 @t61)) % 15.97/16.20 (define @t135 () (not @t131)) % 15.97/16.20 (define @t136 () (not @t134)) % 15.97/16.20 (define @t137 () (not @t136)) % 15.97/16.20 (define @t138 () (tptp.end_point @t132 @t61)) % 15.97/16.20 (define @t139 () (not @t138)) % 15.97/16.20 (define @t140 () (tptp.incident_c @t132 @t61)) % 15.97/16.20 (define @t141 () (and @t140 @t139)) % 15.97/16.20 (define @t142 () (= @t134 @t141)) % 15.97/16.20 (define @t143 () (not @t141)) % 15.97/16.20 (define @t144 () (@list @t141)) % 15.97/16.20 (define @t145 () (and @t138 (tptp.end_point @t132 @t62))) % 15.97/16.20 (define @t146 () (not @t145)) % 15.97/16.20 (define @t147 () (tptp.incident_c @t132 @t62)) % 15.97/16.20 (define @t148 () (not @t147)) % 15.97/16.20 (define @t149 () (not @t140)) % 15.97/16.20 (define @t150 () (or @t149 @t148 @t145)) % 15.97/16.20 (define @t151 () (or @t149 @t147)) % 15.97/16.20 (define @t152 () (not @t151)) % 15.97/16.20 (assume @p1 @t11) % 15.97/16.20 (assume @p2 (forall (@list @t1 @t4 @t12) (= @t17 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 15.97/16.20 (assume @p3 @t30) % 15.97/16.20 (assume @p4 (forall @t29 (= @t32 (and @t3 @t31)))) % 15.97/16.20 (assume @p5 @t41) % 15.97/16.20 (assume @p6 (forall @t44 (= @t43 (not @t42)))) % 15.97/16.20 (assume @p7 (forall @t44 (= (tptp.open @t1) @t42))) % 15.97/16.20 (assume @p8 (forall @t10 (=> (and @t8 (not (= @t4 @t1))) (tptp.open @t4)))) % 15.97/16.20 (assume @p9 (forall (@list @t1 @t4 @t12 @t45) (=> (and @t8 @t22 (tptp.part_of @t45 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t12) (tptp.end_point @t2 @t45)))) (or (tptp.part_of @t12 @t45) (tptp.part_of @t45 @t12) @t19 @t18 (tptp.part_of @t4 @t45) (tptp.part_of @t45 @t4))))) % 15.97/16.20 (assume @p10 @t47) % 15.97/16.20 (assume @p11 (forall @t49 (=> @t32 (exists @t24 (and @t48 @t17))))) % 15.97/16.20 (assume @p12 (forall (@list @t1 @t2 @t13 @t50) (=> (and @t27 @t34 (tptp.end_point @t50 @t1)) (or @t51 (= @t2 @t50) (= @t13 @t50))))) % 15.97/16.20 (assume @p13 (forall @t49 (=> @t27 (exists @t16 (and @t34 (not @t51)))))) % 15.97/16.20 (assume @p14 (forall @t52 (=> (and @t43 @t48 @t17) (forall @t16 (=> @t33 (tptp.meet @t13 @t4 @t12)))))) % 15.97/16.20 (assume @p15 (forall @t24 (=> (exists @t6 @t48) (exists @t44 @t17)))) % 15.97/16.20 (assume @p16 (forall @t10 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 15.97/16.20 (assume @p17 @t55) % 15.97/16.20 (assume @p18 true) % 15.97/16.20 (step @p19 :rule bool-impl-elim :args (@t5 @t3)) % 15.97/16.20 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 15.97/16.20 (step @p21 :rule refl :args (@t8)) % 15.97/16.20 (step @p22 :rule cong :premises (@p21 @p20) :args (@t9)) % 15.97/16.20 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 15.97/16.20 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 15.97/16.20 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t62 @t61))) % 15.97/16.20 (step @p26 :rule aci_norm :args ((= (or @t65 @t20) (or @t57 @t56 @t64 @t63 @t19 @t18)))) % 15.97/16.20 (step @p27 :rule refl :args (@t20)) % 15.97/16.20 (step @p28 :rule aci_norm :args ((= (or @t57 (or @t56 (or @t64 @t63))) @t65))) % 15.97/16.20 (step @p29 :rule bool-and-de-morgan :args (@t5 @t21 true)) % 15.97/16.20 (step @p30 :rule refl :args (@t56)) % 15.97/16.20 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t56 (not (and @t5 @t21))))) % 15.97/16.20 (step @p32 :rule bool-and-de-morgan :args (@t22 @t5 (and @t21))) % 15.97/16.20 (step @p33 :rule trans :premises (@p32 @p31)) % 15.97/16.20 (step @p34 :rule refl :args (@t57)) % 15.97/16.20 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t57 (not (and @t22 @t5 @t21))))) % 15.97/16.20 (step @p36 :rule bool-and-de-morgan :args (@t8 @t22 (and @t5 @t21))) % 15.97/16.20 (step @p37 :rule trans :premises (@p36 @p35)) % 15.97/16.20 (step @p38 :rule trans :premises (@p37 @p28)) % 15.97/16.20 (step @p39 :rule nary_cong :premises (@p38 @p27) :args ((or (not @t23) @t20))) % 15.97/16.20 (step @p40 :rule trans :premises (@p39 @p26)) % 15.97/16.20 (step @p41 :rule bool-impl-elim :args (@t23 @t20)) % 15.97/16.20 (step @p42 :rule trans :premises (@p41 @p40)) % 15.97/16.20 (step @p43 :rule cong :premises (@p42) :args (@t25)) % 15.97/16.20 (step @p44 :rule refl :args (@t3)) % 15.97/16.20 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t26)) % 15.97/16.20 (step @p46 :rule refl :args (@t27)) % 15.97/16.20 (step @p47 :rule cong :premises (@p46 @p45) :args (@t28)) % 15.97/16.20 (step @p48 :rule cong :premises (@p47) :args (@t30)) % 15.97/16.20 (step @p49 :rule eq_resolve :premises (@p3 @p48)) % 15.97/16.20 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t67 @t66))) % 15.97/16.20 (step @p51 :rule aci_norm :args ((= (or @t68 @t31) @t59))) % 15.97/16.20 (step @p52 :rule refl :args (@t31)) % 15.97/16.20 (step @p53 :rule aci_norm :args ((= (or @t58 (or @t57 @t56)) @t68))) % 15.97/16.20 (step @p54 :rule bool-and-de-morgan :args (@t8 @t22 true)) % 15.97/16.20 (step @p55 :rule refl :args (@t58)) % 15.97/16.20 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t58 (not (and @t8 @t22))))) % 15.97/16.20 (step @p57 :rule bool-and-de-morgan :args (@t48 @t8 (and @t22))) % 15.97/16.20 (step @p58 :rule trans :premises (@p57 @p56)) % 15.97/16.20 (step @p59 :rule trans :premises (@p58 @p53)) % 15.97/16.20 (step @p60 :rule nary_cong :premises (@p59 @p52) :args ((or (not @t53) @t31))) % 15.97/16.20 (step @p61 :rule trans :premises (@p60 @p51)) % 15.97/16.20 (step @p62 :rule bool-impl-elim :args (@t53 @t31)) % 15.97/16.20 (step @p63 :rule trans :premises (@p62 @p61)) % 15.97/16.20 (step @p64 :rule cong :premises (@p63) :args (@t54)) % 15.97/16.20 (step @p65 :rule cong :premises (@p64) :args (@t55)) % 15.97/16.20 (step @p66 :rule eq_resolve :premises (@p17 @p65)) % 15.97/16.20 (step @p67 :rule skolemize :premises (@p66)) % 15.97/16.20 (step @p68 :rule bool-double-not-elim :args (@t69)) % 15.97/16.20 (step @p69 :rule refl :args (@t77)) % 15.97/16.20 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t77 (not @t70)))) % 15.97/16.20 (step @p71 :rule cnf_or_neg :args (@t77 3)) % 15.97/16.20 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 15.97/16.20 (step @p73 :rule reordering :premises (@p72) :args ((or @t69 @t77))) % 15.97/16.20 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t69 @t78 @t79)) % 15.97/16.20 (step @p75 :rule cnf_equiv_pos1 :args (@t82)) % 15.97/16.20 (step @p76 :rule reordering :premises (@p75) :args ((or @t70 @t81 (not @t82)))) % 15.97/16.20 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p50) :args (@t81 @t83 (@list @t69 @t82))) % 15.97/16.20 (step @p78 :rule cnf_and_pos :args (@t81 1)) % 15.97/16.20 (step @p79 :rule reordering :premises (@p78) :args ((or @t80 (not @t81)))) % 15.97/16.20 (step @p80 :rule chain_m_resolution :premises (@p79 @p77) :args (@t80 @t84 (@list @t81))) % 15.97/16.20 (step @p81 :rule instantiate :premises (@p80) :args (@t85)) % 15.97/16.20 (step @p82 :rule aci_norm :args ((= (or (or @t87 @t86) @t35) (or @t87 @t86 @t35)))) % 15.97/16.20 (step @p83 :rule refl :args (@t35)) % 15.97/16.20 (step @p84 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 15.97/16.20 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t36) @t35))) % 15.97/16.20 (step @p86 :rule trans :premises (@p85 @p82)) % 15.97/16.20 (step @p87 :rule bool-impl-elim :args (@t36 @t35)) % 15.97/16.20 (step @p88 :rule trans :premises (@p87 @p86)) % 15.97/16.20 (step @p89 :rule cong :premises (@p88) :args (@t37)) % 15.97/16.20 (step @p90 :rule refl :args (@t5)) % 15.97/16.20 (step @p91 :rule nary_cong :premises (@p44 @p90 @p89) :args (@t38)) % 15.97/16.20 (step @p92 :rule refl :args (@t39)) % 15.97/16.20 (step @p93 :rule cong :premises (@p92 @p91) :args (@t40)) % 15.97/16.20 (step @p94 :rule cong :premises (@p93) :args (@t41)) % 15.97/16.20 (step @p95 :rule eq_resolve :premises (@p5 @p94)) % 15.97/16.20 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t67 @t61 @t62))) % 15.97/16.20 (step @p97 :rule bool-double-not-elim :args (@t75)) % 15.97/16.20 (step @p98 :rule nary_cong :premises (@p69 @p97) :args ((or @t77 (not @t76)))) % 15.97/16.20 (step @p99 :rule cnf_or_neg :args (@t77 0)) % 15.97/16.20 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 15.97/16.20 (step @p101 :rule reordering :premises (@p100) :args ((or @t75 @t77))) % 15.97/16.20 (step @p102 :rule chain_m_resolution :premises (@p101 @p67) :args (@t75 @t78 @t79)) % 15.97/16.20 (step @p103 :rule cnf_equiv_pos1 :args (@t92)) % 15.97/16.20 (step @p104 :rule reordering :premises (@p103) :args ((or @t76 @t91 (not @t92)))) % 15.97/16.20 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p96) :args (@t91 @t83 (@list @t75 @t92))) % 15.97/16.20 (step @p106 :rule cnf_and_pos :args (@t91 1)) % 15.97/16.20 (step @p107 :rule reordering :premises (@p106) :args ((or @t89 @t93))) % 15.97/16.20 (step @p108 :rule chain_m_resolution :premises (@p107 @p105) :args (@t89 @t84 @t94)) % 15.97/16.20 (step @p109 :rule instantiate :premises (@p24) :args (@t85)) % 15.97/16.20 (step @p110 :rule instantiate :premises (@p4) :args ((@list @t96 @t62))) % 15.97/16.20 (step @p111 :rule exists-elim :args ((= @t46 (not (forall @t6 (not @t32)))))) % 15.97/16.20 (step @p112 :rule cong :premises (@p111) :args (@t47)) % 15.97/16.20 (step @p113 :rule eq_resolve :premises (@p10 @p112)) % 15.97/16.20 (step @p114 :rule instantiate :premises (@p113) :args ((@list @t62))) % 15.97/16.20 (step @p115 :rule refl :args (@t97)) % 15.97/16.20 (step @p116 :rule bool-double-not-elim :args (@t95)) % 15.97/16.20 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t98) @t97))) % 15.97/16.20 (step @p118 :rule bool-double-not-elim :args (@t97)) % 15.97/16.20 (step @p119 :rule refl :args (@t98)) % 15.97/16.20 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t98 @t100))) % 15.97/16.20 (assume-push @p222 @t98) % 15.97/16.20 (step @p122 :rule skolemize :premises (@p114)) % 15.97/16.20 (step-pop @p223 :rule scope :premises (@p122)) % 15.97/16.20 (step @p123 :rule process_scope :premises (@p223) :args (@t100)) % 15.97/16.20 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 15.97/16.20 (step @p126 :rule implies_elim :premises (@p125)) % 15.97/16.20 (step @p127 :rule eq_resolve :premises (@p126 @p117)) % 15.97/16.20 (step @p128 :rule chain_m_resolution :premises (@p127 @p114) :args (@t97 @t78 (@list @t95))) % 15.97/16.20 (step @p129 :rule cnf_equiv_pos1 :args (@t105)) % 15.97/16.20 (step @p130 :rule reordering :premises (@p129) :args ((or @t99 @t104 (not @t105)))) % 15.97/16.20 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p110) :args (@t104 @t83 (@list @t97 @t105))) % 15.97/16.20 (step @p132 :rule cnf_and_pos :args (@t104 0)) % 15.97/16.20 (step @p133 :rule reordering :premises (@p132) :args ((or @t103 @t106))) % 15.97/16.20 (step @p134 :rule chain_m_resolution :premises (@p133 @p131) :args (@t103 @t84 @t107)) % 15.97/16.20 (step @p135 :rule cnf_and_pos :args (@t91 2)) % 15.97/16.20 (step @p136 :rule reordering :premises (@p135) :args ((or @t88 @t93))) % 15.97/16.20 (step @p137 :rule chain_m_resolution :premises (@p136 @p105) :args (@t88 @t84 @t94)) % 15.97/16.20 (step @p138 :rule instantiate :premises (@p137) :args (@t108)) % 15.97/16.20 (step @p139 :rule cnf_and_pos :args (@t104 1)) % 15.97/16.20 (step @p140 :rule reordering :premises (@p139) :args ((or @t102 @t106))) % 15.97/16.20 (step @p141 :rule chain_m_resolution :premises (@p140 @p131) :args (@t102 @t84 @t107)) % 15.97/16.20 (step @p142 :rule cnf_and_pos :args (@t109 1)) % 15.97/16.20 (step @p143 :rule reordering :premises (@p142) :args ((or @t101 @t110))) % 15.97/16.20 (step @p144 :rule chain_m_resolution :premises (@p143 @p141) :args (@t110 @t78 (@list @t101))) % 15.97/16.20 (step @p145 :rule cnf_or_pos :args (@t114)) % 15.97/16.20 (step @p146 :rule reordering :premises (@p145) :args ((or @t113 @t111 @t109 (not @t114)))) % 15.97/16.20 (step @p147 :rule chain_m_resolution :premises (@p146 @p134 @p144 @p138) :args (@t113 @t115 (@list @t103 @t109 @t114))) % 15.97/16.20 (step @p148 :rule cnf_or_pos :args (@t116)) % 15.97/16.20 (step @p149 :rule reordering :premises (@p148) :args ((or @t112 @t111 @t117))) % 15.97/16.20 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p134) :args (@t117 @t118 (@list @t112 @t103))) % 15.97/16.20 (assume-push @p224 @t121) % 15.97/16.20 (step @p152 :rule instantiate :premises (@p224) :args (@t108)) % 15.97/16.20 (step-pop @p225 :rule scope :premises (@p152)) % 15.97/16.20 (step @p153 :rule process_scope :premises (@p225) :args (@t116)) % 15.97/16.20 (step @p155 :rule implies_elim :premises (@p153)) % 15.97/16.20 (step @p156 :rule chain_m_resolution :premises (@p155 @p150) :args ((not @t121) @t78 (@list @t116))) % 15.97/16.20 (step @p157 :rule cnf_equiv_pos1 :args (@t123)) % 15.97/16.20 (step @p158 :rule reordering :premises (@p157) :args ((or @t124 @t121 (not @t123)))) % 15.97/16.20 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p109) :args (@t124 @t118 (@list @t121 @t123))) % 15.97/16.20 (step @p160 :rule cnf_and_pos :args (@t91 0)) % 15.97/16.20 (step @p161 :rule reordering :premises (@p160) :args ((or @t90 @t93))) % 15.97/16.20 (step @p162 :rule chain_m_resolution :premises (@p161 @p105) :args (@t90 @t84 @t94)) % 15.97/16.20 (step @p163 :rule bool-double-not-elim :args (@t71)) % 15.97/16.20 (step @p164 :rule nary_cong :premises (@p69 @p163) :args ((or @t77 (not @t72)))) % 15.97/16.20 (step @p165 :rule cnf_or_neg :args (@t77 2)) % 15.97/16.20 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 15.97/16.20 (step @p167 :rule reordering :premises (@p166) :args ((or @t71 @t77))) % 15.97/16.20 (step @p168 :rule chain_m_resolution :premises (@p167 @p67) :args (@t71 @t78 @t79)) % 15.97/16.20 (step @p169 :rule bool-double-not-elim :args (@t73)) % 15.97/16.20 (step @p170 :rule nary_cong :premises (@p69 @p169) :args ((or @t77 (not @t74)))) % 15.97/16.20 (step @p171 :rule cnf_or_neg :args (@t77 1)) % 15.97/16.20 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 15.97/16.20 (step @p173 :rule reordering :premises (@p172) :args ((or @t73 @t77))) % 15.97/16.20 (step @p174 :rule chain_m_resolution :premises (@p173 @p67) :args (@t73 @t78 @t79)) % 15.97/16.20 (step @p175 :rule cnf_or_pos :args (@t128)) % 15.97/16.20 (step @p176 :rule reordering :premises (@p175) :args ((or @t74 @t72 @t127 @t125 @t122 @t126 (not @t128)))) % 15.97/16.20 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p168 @p162 @p159 @p108 @p81) :args (@t125 (@list false false false true false false) (@list @t73 @t71 @t90 @t122 @t89 @t128))) % 15.97/16.20 (step @p178 :rule cnf_equiv_pos1 :args (@t130)) % 15.97/16.20 (step @p179 :rule reordering :premises (@p178) :args ((or (not @t125) @t129 (not @t130)))) % 15.97/16.20 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p25) :args (@t129 @t83 (@list @t125 @t130))) % 15.97/16.20 (step @p181 :rule instantiate :premises (@p137) :args (@t133)) % 15.97/16.20 (step @p182 :rule instantiate :premises (@p4) :args ((@list @t132 @t61))) % 15.97/16.20 (step @p183 :rule instantiate :premises (@p113) :args ((@list @t61))) % 15.97/16.20 (step @p184 :rule refl :args (@t134)) % 15.97/16.20 (step @p185 :rule bool-double-not-elim :args (@t131)) % 15.97/16.20 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or (not @t135) @t134))) % 15.97/16.20 (step @p187 :rule bool-double-not-elim :args (@t134)) % 15.97/16.20 (step @p188 :rule refl :args (@t135)) % 15.97/16.20 (step @p189 :rule cong :premises (@p188 @p187) :args ((=> @t135 @t137))) % 15.97/16.20 (assume-push @p226 @t135) % 15.97/16.20 (step @p191 :rule skolemize :premises (@p183)) % 15.97/16.20 (step-pop @p227 :rule scope :premises (@p191)) % 15.97/16.20 (step @p192 :rule process_scope :premises (@p227) :args (@t137)) % 15.97/16.20 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 15.97/16.20 (step @p195 :rule implies_elim :premises (@p194)) % 15.97/16.20 (step @p196 :rule eq_resolve :premises (@p195 @p186)) % 15.97/16.20 (step @p197 :rule chain_m_resolution :premises (@p196 @p183) :args (@t134 @t78 (@list @t131))) % 15.97/16.20 (step @p198 :rule cnf_equiv_pos1 :args (@t142)) % 15.97/16.20 (step @p199 :rule reordering :premises (@p198) :args ((or @t136 @t141 (not @t142)))) % 15.97/16.20 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p182) :args (@t141 @t83 (@list @t134 @t142))) % 15.97/16.20 (step @p201 :rule cnf_and_pos :args (@t141 1)) % 15.97/16.20 (step @p202 :rule reordering :premises (@p201) :args ((or @t139 @t143))) % 15.97/16.20 (step @p203 :rule chain_m_resolution :premises (@p202 @p200) :args (@t139 @t84 @t144)) % 15.97/16.20 (step @p204 :rule cnf_and_pos :args (@t145 0)) % 15.97/16.20 (step @p205 :rule reordering :premises (@p204) :args ((or @t138 @t146))) % 15.97/16.20 (step @p206 :rule chain_m_resolution :premises (@p205 @p203) :args (@t146 @t78 (@list @t138))) % 15.97/16.20 (step @p207 :rule cnf_and_pos :args (@t141 0)) % 15.97/16.20 (step @p208 :rule reordering :premises (@p207) :args ((or @t140 @t143))) % 15.97/16.20 (step @p209 :rule chain_m_resolution :premises (@p208 @p200) :args (@t140 @t84 @t144)) % 15.97/16.20 (step @p210 :rule cnf_or_pos :args (@t150)) % 15.97/16.20 (step @p211 :rule reordering :premises (@p210) :args ((or @t149 @t148 @t145 (not @t150)))) % 15.97/16.20 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p206 @p181) :args (@t148 @t115 (@list @t140 @t145 @t150))) % 15.97/16.20 (step @p213 :rule cnf_or_pos :args (@t151)) % 15.97/16.20 (step @p214 :rule reordering :premises (@p213) :args ((or @t149 @t147 @t152))) % 15.97/16.20 (step @p215 :rule chain_m_resolution :premises (@p214 @p209 @p212) :args (@t152 (@list false true) (@list @t140 @t147))) % 15.67/16.20 (assume-push @p228 @t129) % 15.67/16.20 (step @p217 :rule instantiate :premises (@p228) :args (@t133)) % 15.67/16.20 (step-pop @p229 :rule scope :premises (@p217)) % 15.67/16.20 (step @p218 :rule process_scope :premises (@p229) :args (@t151)) % 15.67/16.20 (step @p220 :rule implies_elim :premises (@p218)) % 15.67/16.20 (step @p221 false :rule chain_m_resolution :premises (@p220 @p215 @p180) :args (false @t118 (@list @t151 @t129))) % 15.67/16.20 ) % 15.67/16.20 % SZS output end Proof % 15.67/16.20 % cvc5 exiting %------------------------------------------------------------------------------