%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO093+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 20.02s 20.23s % Output : Proof 20.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO093+1 : TPTP v9.2.1. Released v2.4.0. % 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 : n003.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 : Mon Jun 1 23:18:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 20.02/20.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 20.02/20.23 --- Run --no-e-matching --full-saturate-quant at 6... % 20.02/20.23 % SZS status Theorem % 20.02/20.23 % SZS output start Proof % 20.02/20.23 ( % 20.02/20.23 (declare-sort $$unsorted 0) % 20.02/20.23 (declare-const tptp.open (-> $$unsorted Bool)) % 20.02/20.23 (declare-const tptp.closed (-> $$unsorted Bool)) % 20.02/20.23 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 20.02/20.23 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 20.02/20.23 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 20.02/20.23 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 20.02/20.23 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 20.02/20.23 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 20.02/20.23 (define @t1 () (@var "C" $$unsorted)) % 20.02/20.23 (define @t2 () (@var "P" $$unsorted)) % 20.02/20.23 (define @t3 () (tptp.incident_c @t2 @t1)) % 20.02/20.23 (define @t4 () (@var "C1" $$unsorted)) % 20.02/20.23 (define @t5 () (tptp.incident_c @t2 @t4)) % 20.02/20.23 (define @t6 () (@list @t2)) % 20.02/20.23 (define @t7 () (forall @t6 (=> @t5 @t3))) % 20.02/20.23 (define @t8 () (tptp.part_of @t4 @t1)) % 20.02/20.23 (define @t9 () (= @t8 @t7)) % 20.02/20.23 (define @t10 () (@list @t1 @t4)) % 20.02/20.23 (define @t11 () (forall @t10 @t9)) % 20.02/20.23 (define @t12 () (@var "C2" $$unsorted)) % 20.02/20.23 (define @t13 () (@var "Q" $$unsorted)) % 20.02/20.23 (define @t14 () (tptp.incident_c @t13 @t4)) % 20.02/20.23 (define @t15 () (tptp.incident_c @t13 @t1)) % 20.02/20.23 (define @t16 () (@list @t13)) % 20.02/20.23 (define @t17 () (tptp.sum @t4 @t12)) % 20.02/20.23 (define @t18 () (= @t1 @t17)) % 20.02/20.23 (define @t19 () (forall (@list @t1 @t4 @t12) (= @t18 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 20.02/20.23 (define @t20 () (tptp.part_of @t12 @t4)) % 20.02/20.23 (define @t21 () (tptp.part_of @t4 @t12)) % 20.02/20.23 (define @t22 () (tptp.part_of @t12 @t1)) % 20.02/20.23 (define @t23 () (@list @t4 @t12)) % 20.02/20.23 (define @t24 () (tptp.end_point @t2 @t1)) % 20.02/20.23 (define @t25 () (@list @t2 @t1)) % 20.02/20.23 (define @t26 () (not @t24)) % 20.02/20.23 (define @t27 () (tptp.inner_point @t2 @t1)) % 20.02/20.23 (define @t28 () (tptp.end_point @t13 @t4)) % 20.02/20.23 (define @t29 () (tptp.end_point @t13 @t1)) % 20.02/20.23 (define @t30 () (exists @t6 @t24)) % 20.02/20.23 (define @t31 () (not @t30)) % 20.02/20.23 (define @t32 () (tptp.closed @t1)) % 20.02/20.23 (define @t33 () (= @t32 @t31)) % 20.02/20.23 (define @t34 () (@list @t1)) % 20.02/20.23 (define @t35 () (forall @t34 @t33)) % 20.02/20.23 (define @t36 () (tptp.open @t1)) % 20.02/20.23 (define @t37 () (forall @t34 (= @t36 @t30))) % 20.02/20.23 (define @t38 () (tptp.open @t4)) % 20.02/20.23 (define @t39 () (not (= @t4 @t1))) % 20.02/20.23 (define @t40 () (and @t8 @t39)) % 20.02/20.23 (define @t41 () (=> @t40 @t38)) % 20.02/20.23 (define @t42 () (forall @t10 @t41)) % 20.02/20.23 (define @t43 () (@var "C3" $$unsorted)) % 20.02/20.23 (define @t44 () (tptp.meet @t2 @t4 @t12)) % 20.02/20.23 (define @t45 () (@list @t1 @t2)) % 20.02/20.23 (define @t46 () (@var "R" $$unsorted)) % 20.02/20.23 (define @t47 () (= @t2 @t13)) % 20.02/20.23 (define @t48 () (@list @t1 @t4 @t12 @t2)) % 20.02/20.23 (define @t49 () (= @t1 @t4)) % 20.02/20.23 (define @t50 () (tptp.open @t17)) % 20.02/20.23 (define @t51 () (and @t36 @t8 @t22 @t44)) % 20.02/20.23 (define @t52 () (forall @t48 (=> @t51 @t50))) % 20.02/20.23 (define @t53 () (not @t52)) % 20.02/20.23 (define @t54 () (not @t44)) % 20.02/20.23 (define @t55 () (not @t22)) % 20.02/20.23 (define @t56 () (not @t8)) % 20.02/20.23 (define @t57 () (not @t36)) % 20.02/20.23 (define @t58 () (or @t57 @t56 @t55 @t54 @t50)) % 20.02/20.23 (define @t59 () (forall @t48 @t58)) % 20.02/20.23 (define @t60 () (@quantifiers_skolemize @t59 2)) % 20.02/20.23 (define @t61 () (@quantifiers_skolemize @t59 1)) % 20.02/20.23 (define @t62 () (tptp.sum @t61 @t60)) % 20.02/20.23 (define @t63 () (@quantifiers_skolemize @t59 0)) % 20.02/20.23 (define @t64 () (@list @t63 @t62)) % 20.02/20.23 (define @t65 () (not @t49)) % 20.02/20.23 (define @t66 () (and @t8 @t65)) % 20.02/20.23 (define @t67 () (forall @t6 @t26)) % 20.02/20.23 (define @t68 () (not @t67)) % 20.02/20.23 (define @t69 () (tptp.closed @t62)) % 20.02/20.23 (define @t70 () (forall @t6 (not (tptp.end_point @t2 @t62)))) % 20.02/20.23 (define @t71 () (forall @t34 (= @t32 @t67))) % 20.02/20.23 (define @t72 () (= @t69 @t70)) % 20.02/20.23 (define @t73 () (@list @t62)) % 20.02/20.23 (define @t74 () (= @t70 @t69)) % 20.02/20.23 (define @t75 () (@list false)) % 20.02/20.23 (define @t76 () (or @t57 @t56 @t55 @t54)) % 20.02/20.23 (define @t77 () (tptp.open @t62)) % 20.02/20.23 (define @t78 () (tptp.part_of @t60 @t63)) % 20.02/20.23 (define @t79 () (not @t78)) % 20.02/20.23 (define @t80 () (tptp.part_of @t61 @t63)) % 20.02/20.23 (define @t81 () (not @t80)) % 20.02/20.23 (define @t82 () (tptp.open @t63)) % 20.02/20.23 (define @t83 () (not @t82)) % 20.02/20.23 (define @t84 () (or @t83 @t81 @t79 (not (tptp.meet (@quantifiers_skolemize @t59 3) @t61 @t60)) @t77)) % 20.02/20.23 (define @t85 () (@list true)) % 20.02/20.23 (define @t86 () (@list @t84)) % 20.02/20.23 (define @t87 () (not @t70)) % 20.02/20.23 (define @t88 () (= @t77 @t87)) % 20.02/20.23 (define @t89 () (not @t88)) % 20.02/20.23 (define @t90 () (@list true false)) % 20.02/20.23 (define @t91 () (@list false false)) % 20.02/20.23 (define @t92 () (@list @t63)) % 20.02/20.23 (define @t93 () (forall @t6 (not (tptp.end_point @t2 @t63)))) % 20.02/20.23 (define @t94 () (not @t93)) % 20.02/20.23 (define @t95 () (= @t82 @t94)) % 20.02/20.23 (define @t96 () (tptp.closed @t63)) % 20.02/20.23 (define @t97 () (= @t96 @t93)) % 20.02/20.23 (define @t98 () (not @t96)) % 20.02/20.23 (define @t99 () (not @t69)) % 20.02/20.23 (define @t100 () (= @t63 @t62)) % 20.02/20.23 (define @t101 () (not @t100)) % 20.02/20.23 (define @t102 () (tptp.part_of @t62 @t63)) % 20.02/20.23 (define @t103 () (not @t102)) % 20.02/20.23 (define @t104 () (or @t103 @t100 @t77)) % 20.02/20.23 (define @t105 () (tptp.incident_c @t2 @t63)) % 20.02/20.23 (define @t106 () (forall @t6 (or (not (tptp.incident_c @t2 @t62)) @t105))) % 20.02/20.23 (define @t107 () (= @t102 @t106)) % 20.02/20.23 (define @t108 () (not @t106)) % 20.02/20.23 (define @t109 () (@quantifiers_skolemize @t106 0)) % 20.02/20.23 (define @t110 () (tptp.incident_c @t109 @t63)) % 20.02/20.23 (define @t111 () (tptp.incident_c @t109 @t62)) % 20.02/20.23 (define @t112 () (not @t111)) % 20.02/20.23 (define @t113 () (or @t112 @t110)) % 20.02/20.23 (define @t114 () (not @t113)) % 20.02/20.23 (define @t115 () (@list @t113)) % 20.02/20.23 (define @t116 () (forall @t6 (or (not (tptp.incident_c @t2 @t60)) @t105))) % 20.02/20.23 (define @t117 () (= @t78 @t116)) % 20.02/20.23 (define @t118 () (@list @t109)) % 20.02/20.23 (define @t119 () (tptp.incident_c @t109 @t60)) % 20.02/20.23 (define @t120 () (not @t119)) % 20.02/20.23 (define @t121 () (or @t120 @t110)) % 20.02/20.23 (define @t122 () (forall @t6 (or (not (tptp.incident_c @t2 @t61)) @t105))) % 20.02/20.23 (define @t123 () (= @t80 @t122)) % 20.02/20.23 (define @t124 () (tptp.incident_c @t109 @t61)) % 20.02/20.23 (define @t125 () (not @t124)) % 20.02/20.23 (define @t126 () (or @t125 @t110)) % 20.02/20.23 (define @t127 () (or @t124 @t119)) % 20.02/20.23 (define @t128 () (not @t127)) % 20.02/20.23 (define @t129 () (tptp.incident_c @t13 @t62)) % 20.02/20.23 (define @t130 () (or (tptp.incident_c @t13 @t61) (tptp.incident_c @t13 @t60))) % 20.02/20.23 (define @t131 () (forall @t16 (= @t130 @t129))) % 20.02/20.23 (define @t132 () (forall @t16 (= @t129 @t130))) % 20.02/20.23 (define @t133 () (= (= @t62 @t62) @t132)) % 20.02/20.23 (define @t134 () (= @t127 @t111)) % 20.02/20.23 (define @t135 () (= @t111 @t127)) % 20.02/20.23 (assume @p1 @t11) % 20.02/20.23 (assume @p2 @t19) % 20.02/20.23 (assume @p3 (forall @t25 (= @t24 (and @t3 (forall @t23 (=> (and @t8 @t22 @t5 (tptp.incident_c @t2 @t12)) (or @t21 @t20))))))) % 20.02/20.23 (assume @p4 (forall @t25 (= @t27 (and @t3 @t26)))) % 20.02/20.23 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t16 (=> (and @t15 @t14) (and @t29 @t28))))))) % 20.02/20.23 (assume @p6 @t35) % 20.02/20.23 (assume @p7 @t37) % 20.02/20.23 (assume @p8 @t42) % 20.02/20.23 (assume @p9 (forall (@list @t1 @t4 @t12 @t43) (=> (and @t8 @t22 (tptp.part_of @t43 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t12) (tptp.end_point @t2 @t43)))) (or (tptp.part_of @t12 @t43) (tptp.part_of @t43 @t12) @t21 @t20 (tptp.part_of @t4 @t43) (tptp.part_of @t43 @t4))))) % 20.02/20.23 (assume @p10 (forall @t34 (exists @t6 @t27))) % 20.02/20.23 (assume @p11 (forall @t45 (=> @t27 (exists @t23 (and @t44 @t18))))) % 20.02/20.23 (assume @p12 (forall (@list @t1 @t2 @t13 @t46) (=> (and @t24 @t29 (tptp.end_point @t46 @t1)) (or @t47 (= @t2 @t46) (= @t13 @t46))))) % 20.02/20.23 (assume @p13 (forall @t45 (=> @t24 (exists @t16 (and @t29 (not @t47)))))) % 20.02/20.23 (assume @p14 (forall @t48 (=> (and @t32 @t44 @t18) (forall @t16 (=> @t28 (tptp.meet @t13 @t4 @t12)))))) % 20.02/20.23 (assume @p15 (forall @t23 (=> (exists @t6 @t44) (exists @t34 @t18)))) % 20.02/20.23 (assume @p16 (forall @t10 (=> (forall @t6 (= @t3 @t5)) @t49))) % 20.02/20.23 (assume @p17 @t53) % 20.02/20.23 (assume @p18 true) % 20.02/20.23 (step @p19 :rule bool-impl-elim :args (@t5 @t3)) % 20.02/20.23 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 20.02/20.23 (step @p21 :rule refl :args (@t8)) % 20.02/20.23 (step @p22 :rule cong :premises (@p21 @p20) :args (@t9)) % 20.02/20.23 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 20.02/20.23 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 20.02/20.23 (step @p25 :rule instantiate :premises (@p24) :args (@t64)) % 20.02/20.23 (step @p26 :rule aci_norm :args ((= (or (or @t56 @t49) @t38) (or @t56 @t49 @t38)))) % 20.02/20.23 (step @p27 :rule refl :args (@t38)) % 20.02/20.23 (step @p28 :rule bool-double-not-elim :args (@t49)) % 20.02/20.23 (step @p29 :rule refl :args (@t56)) % 20.02/20.23 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t56 (not @t65)))) % 20.02/20.23 (step @p31 :rule bool-and-de-morgan :args (@t8 @t65 true)) % 20.02/20.23 (step @p32 :rule trans :premises (@p31 @p30)) % 20.02/20.23 (step @p33 :rule nary_cong :premises (@p32 @p27) :args ((or (not @t66) @t38))) % 20.02/20.23 (step @p34 :rule trans :premises (@p33 @p26)) % 20.02/20.23 (step @p35 :rule bool-impl-elim :args (@t66 @t38)) % 20.02/20.23 (step @p36 :rule trans :premises (@p35 @p34)) % 20.02/20.23 (step @p37 :rule cong :premises (@p36) :args ((forall @t10 (=> @t66 @t38)))) % 20.02/20.23 (step @p38 :rule refl :args (@t38)) % 20.02/20.23 (step @p39 :rule eq-symm :args (@t4 @t1)) % 20.02/20.23 (step @p40 :rule cong :premises (@p39) :args (@t39)) % 20.02/20.23 (step @p41 :rule nary_cong :premises (@p21 @p40) :args (@t40)) % 20.02/20.23 (step @p42 :rule cong :premises (@p41 @p38) :args (@t41)) % 20.02/20.23 (step @p43 :rule cong :premises (@p42) :args (@t42)) % 20.02/20.23 (step @p44 :rule trans :premises (@p43 @p37)) % 20.02/20.23 (step @p45 :rule eq_resolve :premises (@p8 @p44)) % 20.02/20.23 (step @p46 :rule instantiate :premises (@p45) :args (@t64)) % 20.02/20.23 (step @p47 :rule bool-double-not-elim :args (@t67)) % 20.02/20.23 (step @p48 :rule exists-elim :args ((= @t30 @t68))) % 20.02/20.23 (step @p49 :rule cong :premises (@p48) :args (@t31)) % 20.02/20.23 (step @p50 :rule trans :premises (@p49 @p47)) % 20.02/20.23 (step @p51 :rule refl :args (@t32)) % 20.02/20.23 (step @p52 :rule cong :premises (@p51 @p50) :args (@t33)) % 20.02/20.23 (step @p53 :rule cong :premises (@p52) :args (@t35)) % 20.02/20.23 (step @p54 :rule eq_resolve :premises (@p6 @p53)) % 20.02/20.23 (step @p55 :rule eq-symm :args (@t69 @t70)) % 20.02/20.23 (step @p56 :rule refl :args (@t71)) % 20.02/20.23 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t71 @t72))) % 20.02/20.23 (assume-push @p230 @t71) % 20.02/20.23 (step @p59 :rule instantiate :premises (@p54) :args (@t73)) % 20.02/20.23 (step-pop @p231 :rule scope :premises (@p59)) % 20.02/20.23 (step @p60 :rule process_scope :premises (@p231) :args (@t72)) % 20.02/20.23 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 20.02/20.23 (step @p63 :rule implies_elim :premises (@p62)) % 20.02/20.23 (step @p64 :rule chain_m_resolution :premises (@p63 @p54) :args (@t74 @t75 (@list @t71))) % 20.02/20.23 (step @p65 :rule eq-symm :args (@t68 @t36)) % 20.02/20.23 (step @p66 :rule refl :args (@t36)) % 20.02/20.23 (step @p67 :rule cong :premises (@p48 @p66) :args ((= @t30 @t36))) % 20.02/20.23 (step @p68 :rule trans :premises (@p67 @p65)) % 20.02/20.23 (step @p69 :rule eq-symm :args (@t36 @t30)) % 20.02/20.23 (step @p70 :rule trans :premises (@p69 @p68)) % 20.02/20.23 (step @p71 :rule cong :premises (@p70) :args (@t37)) % 20.02/20.23 (step @p72 :rule eq_resolve :premises (@p7 @p71)) % 20.02/20.23 (step @p73 :rule instantiate :premises (@p72) :args (@t73)) % 20.02/20.23 (step @p74 :rule aci_norm :args ((= (or @t76 @t50) @t58))) % 20.02/20.23 (step @p75 :rule refl :args (@t50)) % 20.02/20.23 (step @p76 :rule aci_norm :args ((= (or @t57 (or @t56 (or @t55 @t54))) @t76))) % 20.02/20.23 (step @p77 :rule bool-and-de-morgan :args (@t22 @t44 true)) % 20.02/20.23 (step @p78 :rule nary_cong :premises (@p29 @p77) :args ((or @t56 (not (and @t22 @t44))))) % 20.02/20.23 (step @p79 :rule bool-and-de-morgan :args (@t8 @t22 (and @t44))) % 20.02/20.23 (step @p80 :rule trans :premises (@p79 @p78)) % 20.02/20.23 (step @p81 :rule refl :args (@t57)) % 20.02/20.23 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t57 (not (and @t8 @t22 @t44))))) % 20.02/20.23 (step @p83 :rule bool-and-de-morgan :args (@t36 @t8 (and @t22 @t44))) % 20.02/20.23 (step @p84 :rule trans :premises (@p83 @p82)) % 20.02/20.23 (step @p85 :rule trans :premises (@p84 @p76)) % 20.02/20.23 (step @p86 :rule nary_cong :premises (@p85 @p75) :args ((or (not @t51) @t50))) % 20.02/20.23 (step @p87 :rule trans :premises (@p86 @p74)) % 20.02/20.23 (step @p88 :rule bool-impl-elim :args (@t51 @t50)) % 20.02/20.23 (step @p89 :rule trans :premises (@p88 @p87)) % 20.02/20.23 (step @p90 :rule cong :premises (@p89) :args (@t52)) % 20.02/20.23 (step @p91 :rule cong :premises (@p90) :args (@t53)) % 20.02/20.23 (step @p92 :rule eq_resolve :premises (@p17 @p91)) % 20.02/20.23 (step @p93 :rule skolemize :premises (@p92)) % 20.02/20.23 (step @p94 :rule cnf_or_neg :args (@t84 4)) % 20.02/20.23 (step @p95 :rule chain_m_resolution :premises (@p94 @p93) :args ((not @t77) @t85 @t86)) % 20.02/20.23 (step @p96 :rule bool-double-not-elim :args (@t70)) % 20.02/20.23 (step @p97 :rule refl :args (@t77)) % 20.02/20.23 (step @p98 :rule refl :args (@t89)) % 20.02/20.23 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args ((or @t89 @t77 (not @t87)))) % 20.02/20.23 (step @p100 :rule cnf_equiv_pos2 :args (@t88)) % 20.02/20.23 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 20.02/20.23 (step @p102 :rule reordering :premises (@p101) :args ((or @t77 @t70 @t89))) % 20.02/20.23 (step @p103 :rule chain_m_resolution :premises (@p102 @p95 @p73) :args (@t70 @t90 (@list @t77 @t88))) % 20.02/20.23 (step @p104 :rule cnf_equiv_pos1 :args (@t74)) % 20.02/20.23 (step @p105 :rule reordering :premises (@p104) :args ((or @t87 @t69 (not @t74)))) % 20.02/20.23 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p64) :args (@t69 @t91 (@list @t70 @t74))) % 20.02/20.23 (step @p107 :rule instantiate :premises (@p54) :args (@t92)) % 20.02/20.23 (step @p108 :rule instantiate :premises (@p72) :args (@t92)) % 20.02/20.23 (step @p109 :rule bool-double-not-elim :args (@t82)) % 20.02/20.23 (step @p110 :rule refl :args (@t84)) % 20.02/20.23 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t84 (not @t83)))) % 20.02/20.23 (step @p112 :rule cnf_or_neg :args (@t84 0)) % 20.02/20.23 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 20.02/20.23 (step @p114 :rule reordering :premises (@p113) :args ((or @t82 @t84))) % 20.02/20.23 (step @p115 :rule chain_m_resolution :premises (@p114 @p93) :args (@t82 @t85 @t86)) % 20.02/20.23 (step @p116 :rule cnf_equiv_pos1 :args (@t95)) % 20.02/20.23 (step @p117 :rule reordering :premises (@p116) :args ((or @t83 @t94 (not @t95)))) % 20.02/20.23 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p108) :args (@t94 @t91 (@list @t82 @t95))) % 20.02/20.23 (step @p119 :rule cnf_equiv_pos1 :args (@t97)) % 20.02/20.23 (step @p120 :rule reordering :premises (@p119) :args ((or @t93 @t98 (not @t97)))) % 20.02/20.23 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p107) :args (@t98 @t90 (@list @t93 @t97))) % 20.02/20.23 (step @p122 :rule refl :args (@t99)) % 20.02/20.23 (step @p123 :rule refl :args (@t101)) % 20.02/20.23 (step @p124 :rule bool-double-not-elim :args (@t96)) % 20.02/20.23 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122) :args ((or (not @t98) @t101 @t99))) % 20.02/20.23 (assume-push @p232 @t98) % 20.02/20.23 (assume-push @p233 @t100) % 20.02/20.23 (assume-push @p234 @t69) % 20.02/20.23 (step @p129 :rule evaluate :args ((= true false))) % 20.02/20.23 (step @p130 :rule false_intro :premises (@p121)) % 20.02/20.23 (step @p131 :rule symm :premises (@p233)) % 20.02/20.23 (step @p132 :rule cong :premises (@p131) :args (@t69)) % 20.02/20.23 (step @p133 :rule true_intro :premises (@p106)) % 20.02/20.23 (step @p134 :rule symm :premises (@p133)) % 20.02/20.23 (step @p135 :rule trans :premises (@p134 @p132 @p130)) % 20.02/20.23 (step @p136 false :rule eq_resolve :premises (@p135 @p129)) % 20.02/20.23 (step-pop @p235 :rule scope :premises (@p136)) % 20.02/20.23 (step-pop @p236 :rule scope :premises (@p235)) % 20.02/20.23 (step-pop @p237 :rule scope :premises (@p236)) % 20.02/20.23 (step @p137 :rule process_scope :premises (@p237) :args (false)) % 20.02/20.23 (step @p141 :rule not_and :premises (@p137)) % 20.02/20.23 (step @p142 :rule eq_resolve :premises (@p141 @p125)) % 20.02/20.23 (step @p143 :rule chain_m_resolution :premises (@p142 @p121 @p106) :args (@t101 @t90 (@list @t96 @t69))) % 20.02/20.23 (step @p144 :rule cnf_or_pos :args (@t104)) % 20.02/20.23 (step @p145 :rule reordering :premises (@p144) :args ((or @t77 @t100 @t103 (not @t104)))) % 20.02/20.23 (step @p146 :rule chain_m_resolution :premises (@p145 @p95 @p143 @p46) :args (@t103 (@list true true false) (@list @t77 @t100 @t104))) % 20.02/20.23 (step @p147 :rule cnf_equiv_pos2 :args (@t107)) % 20.02/20.23 (step @p148 :rule reordering :premises (@p147) :args ((or @t102 @t108 (not @t107)))) % 20.02/20.23 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p25) :args (@t108 @t90 (@list @t102 @t107))) % 20.02/20.23 (step @p150 :rule refl :args (@t114)) % 20.02/20.23 (step @p151 :rule bool-double-not-elim :args (@t106)) % 20.02/20.23 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or (not @t108) @t114))) % 20.02/20.23 (assume-push @p238 @t108) % 20.02/20.23 (step @p154 :rule skolemize :premises (@p238)) % 20.02/20.23 (step-pop @p239 :rule scope :premises (@p154)) % 20.02/20.23 (step @p155 :rule process_scope :premises (@p239) :args (@t114)) % 20.02/20.23 (step @p157 :rule implies_elim :premises (@p155)) % 20.02/20.23 (step @p158 :rule eq_resolve :premises (@p157 @p152)) % 20.02/20.23 (step @p159 :rule chain_m_resolution :premises (@p158 @p149) :args (@t114 @t85 (@list @t106))) % 20.02/20.23 (step @p160 :rule bool-double-not-elim :args (@t111)) % 20.02/20.23 (step @p161 :rule refl :args (@t113)) % 20.02/20.23 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t113 (not @t112)))) % 20.02/20.23 (step @p163 :rule cnf_or_neg :args (@t113 0)) % 20.02/20.23 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 20.02/20.23 (step @p165 :rule reordering :premises (@p164) :args ((or @t111 @t113))) % 20.02/20.23 (step @p166 :rule chain_m_resolution :premises (@p165 @p159) :args (@t111 @t85 @t115)) % 20.02/20.23 (step @p167 :rule instantiate :premises (@p24) :args ((@list @t63 @t60))) % 20.02/20.23 (step @p168 :rule bool-double-not-elim :args (@t78)) % 20.02/20.23 (step @p169 :rule nary_cong :premises (@p110 @p168) :args ((or @t84 (not @t79)))) % 20.02/20.23 (step @p170 :rule cnf_or_neg :args (@t84 2)) % 20.02/20.23 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 20.02/20.23 (step @p172 :rule reordering :premises (@p171) :args ((or @t78 @t84))) % 20.02/20.23 (step @p173 :rule chain_m_resolution :premises (@p172 @p93) :args (@t78 @t85 @t86)) % 20.02/20.23 (step @p174 :rule cnf_equiv_pos1 :args (@t117)) % 20.02/20.23 (step @p175 :rule reordering :premises (@p174) :args ((or @t79 @t116 (not @t117)))) % 20.02/20.23 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p167) :args (@t116 @t91 (@list @t78 @t117))) % 20.02/20.23 (step @p177 :rule instantiate :premises (@p176) :args (@t118)) % 20.02/20.23 (step @p178 :rule cnf_or_neg :args (@t113 1)) % 20.02/20.23 (step @p179 :rule chain_m_resolution :premises (@p178 @p159) :args ((not @t110) @t85 @t115)) % 20.02/20.23 (step @p180 :rule cnf_or_pos :args (@t121)) % 20.02/20.23 (step @p181 :rule reordering :premises (@p180) :args ((or @t110 @t120 (not @t121)))) % 20.02/20.23 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p177) :args (@t120 @t90 (@list @t110 @t121))) % 20.02/20.23 (step @p183 :rule instantiate :premises (@p24) :args ((@list @t63 @t61))) % 20.02/20.23 (step @p184 :rule bool-double-not-elim :args (@t80)) % 20.02/20.23 (step @p185 :rule nary_cong :premises (@p110 @p184) :args ((or @t84 (not @t81)))) % 20.02/20.23 (step @p186 :rule cnf_or_neg :args (@t84 1)) % 20.02/20.23 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 20.02/20.23 (step @p188 :rule reordering :premises (@p187) :args ((or @t80 @t84))) % 20.02/20.23 (step @p189 :rule chain_m_resolution :premises (@p188 @p93) :args (@t80 @t85 @t86)) % 20.02/20.23 (step @p190 :rule cnf_equiv_pos1 :args (@t123)) % 20.02/20.23 (step @p191 :rule reordering :premises (@p190) :args ((or @t81 @t122 (not @t123)))) % 20.02/20.23 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p183) :args (@t122 @t91 (@list @t80 @t123))) % 20.02/20.23 (step @p193 :rule instantiate :premises (@p192) :args (@t118)) % 20.02/20.23 (step @p194 :rule cnf_or_pos :args (@t126)) % 20.02/20.23 (step @p195 :rule reordering :premises (@p194) :args ((or @t110 @t125 (not @t126)))) % 20.02/20.23 (step @p196 :rule chain_m_resolution :premises (@p195 @p179 @p193) :args (@t125 @t90 (@list @t110 @t126))) % 20.02/20.23 (step @p197 :rule cnf_or_pos :args (@t127)) % 20.02/20.23 (step @p198 :rule reordering :premises (@p197) :args ((or @t124 @t119 @t128))) % 20.02/20.23 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p182) :args (@t128 (@list true true) (@list @t124 @t119))) % 20.02/20.23 (step @p200 :rule bool-eq-true :args (@t131)) % 20.02/20.23 (step @p201 :rule eq-symm :args (true @t131)) % 20.02/20.23 (step @p202 :rule trans :premises (@p201 @p200)) % 20.02/20.23 (step @p203 :rule eq-symm :args (@t129 @t130)) % 20.02/20.23 (step @p204 :rule cong :premises (@p203) :args (@t132)) % 20.02/20.23 (step @p205 :rule eq-refl :args (@t62)) % 20.02/20.23 (step @p206 :rule cong :premises (@p205 @p204) :args (@t133)) % 20.02/20.23 (step @p207 :rule trans :premises (@p206 @p202)) % 20.02/20.23 (step @p208 :rule refl :args (@t19)) % 20.02/20.23 (step @p209 :rule cong :premises (@p208 @p207) :args ((=> @t19 @t133))) % 20.02/20.23 (assume-push @p240 @t19) % 20.02/20.23 (step @p211 :rule instantiate :premises (@p2) :args ((@list @t62 @t61 @t60))) % 20.02/20.23 (step-pop @p241 :rule scope :premises (@p211)) % 20.02/20.23 (step @p212 :rule process_scope :premises (@p241) :args (@t133)) % 20.02/20.23 (step @p214 :rule eq_resolve :premises (@p212 @p209)) % 20.02/20.23 (step @p215 :rule implies_elim :premises (@p214)) % 20.02/20.23 (step @p216 :rule chain_m_resolution :premises (@p215 @p2) :args (@t131 @t75 (@list @t19))) % 20.02/20.23 (step @p217 :rule eq-symm :args (@t127 @t111)) % 20.02/20.23 (step @p218 :rule refl :args (@t131)) % 20.02/20.23 (step @p219 :rule cong :premises (@p218 @p217) :args ((=> @t131 @t134))) % 20.02/20.23 (assume-push @p242 @t131) % 20.02/20.23 (step @p221 :rule instantiate :premises (@p216) :args (@t118)) % 20.02/20.23 (step-pop @p243 :rule scope :premises (@p221)) % 20.02/20.23 (step @p222 :rule process_scope :premises (@p243) :args (@t134)) % 20.02/20.23 (step @p224 :rule eq_resolve :premises (@p222 @p219)) % 20.02/20.23 (step @p225 :rule implies_elim :premises (@p224)) % 20.02/20.23 (step @p226 :rule chain_m_resolution :premises (@p225 @p216) :args (@t135 @t75 (@list @t131))) % 20.02/20.23 (step @p227 :rule cnf_equiv_pos1 :args (@t135)) % 20.02/20.23 (step @p228 :rule reordering :premises (@p227) :args ((or @t112 @t127 (not @t135)))) % 20.02/20.23 (step @p229 false :rule chain_m_resolution :premises (@p228 @p226 @p199 @p166) :args (false (@list false true false) (@list @t135 @t127 @t111))) % 20.02/20.23 ) % 20.02/20.23 % SZS output end Proof % 20.02/20.23 % cvc5 exiting %------------------------------------------------------------------------------