%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO205+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:16:43 AM UTC 2026 % Result : Theorem 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO205+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 23:40:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.36/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.64 % SZS status Theorem % 0.44/0.64 % SZS output start Proof % 0.44/0.64 ( % 0.44/0.64 (declare-sort $$unsorted 0) % 0.44/0.64 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.line (-> $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.point (-> $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (define @t1 () (@var "X" $$unsorted)) % 0.44/0.64 (define @t2 () (@list @t1)) % 0.44/0.64 (define @t3 () (@var "Z" $$unsorted)) % 0.44/0.64 (define @t4 () (@var "Y" $$unsorted)) % 0.44/0.64 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.44/0.64 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.44/0.64 (define @t7 () (@list @t1 @t4 @t3)) % 0.44/0.64 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.44/0.64 (define @t9 () (tptp.distinct_lines @t1 @t3)) % 0.44/0.64 (define @t10 () (or @t9 @t8)) % 0.44/0.64 (define @t11 () (tptp.distinct_lines @t1 @t4)) % 0.44/0.64 (define @t12 () (forall @t7 (=> @t11 @t10))) % 0.44/0.64 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.44/0.64 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.44/0.64 (define @t15 () (tptp.convergent_lines @t1 @t4)) % 0.44/0.64 (define @t16 () (tptp.line_connecting @t1 @t4)) % 0.44/0.64 (define @t17 () (@list @t1 @t4)) % 0.44/0.64 (define @t18 () (tptp.intersection_point @t1 @t4)) % 0.44/0.64 (define @t19 () (not (tptp.apart_point_and_line @t18 @t1))) % 0.44/0.64 (define @t20 () (forall @t17 (=> @t15 @t19))) % 0.44/0.64 (define @t21 () (not (tptp.apart_point_and_line @t18 @t4))) % 0.44/0.64 (define @t22 () (forall @t17 (=> @t15 @t21))) % 0.44/0.64 (define @t23 () (@var "V" $$unsorted)) % 0.44/0.64 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.44/0.64 (define @t25 () (@var "U" $$unsorted)) % 0.44/0.64 (define @t26 () (tptp.apart_point_and_line @t4 @t25)) % 0.44/0.64 (define @t27 () (tptp.apart_point_and_line @t1 @t23)) % 0.44/0.64 (define @t28 () (tptp.apart_point_and_line @t1 @t25)) % 0.44/0.64 (define @t29 () (or @t28 @t27 @t26 @t24)) % 0.44/0.64 (define @t30 () (tptp.distinct_lines @t25 @t23)) % 0.44/0.64 (define @t31 () (and @t6 @t30)) % 0.44/0.64 (define @t32 () (forall (@list @t1 @t4 @t25 @t23) (=> @t31 @t29))) % 0.44/0.64 (define @t33 () (tptp.apart_point_and_line @t1 @t4)) % 0.44/0.64 (define @t34 () (tptp.apart_point_and_line @t1 @t3)) % 0.44/0.64 (define @t35 () (or @t8 @t34)) % 0.44/0.64 (define @t36 () (forall @t7 (=> @t33 @t35))) % 0.44/0.64 (define @t37 () (or @t8 @t14)) % 0.44/0.64 (define @t38 () (forall @t7 (=> @t15 @t37))) % 0.44/0.64 (define @t39 () (forall @t17 (=> @t11 @t15))) % 0.44/0.64 (define @t40 () (tptp.parallel_through_point @t4 @t1)) % 0.44/0.64 (define @t41 () (@var "M" $$unsorted)) % 0.44/0.64 (define @t42 () (@var "L" $$unsorted)) % 0.44/0.64 (define @t43 () (tptp.unorthogonal_lines @t42 @t41)) % 0.44/0.64 (define @t44 () (tptp.convergent_lines @t42 @t41)) % 0.44/0.64 (define @t45 () (@list @t42 @t41)) % 0.44/0.64 (define @t46 () (@var "N" $$unsorted)) % 0.44/0.64 (define @t47 () (tptp.unorthogonal_lines @t41 @t46)) % 0.44/0.64 (define @t48 () (tptp.convergent_lines @t41 @t46)) % 0.44/0.64 (define @t49 () (tptp.unorthogonal_lines @t42 @t46)) % 0.44/0.64 (define @t50 () (tptp.convergent_lines @t42 @t46)) % 0.44/0.64 (define @t51 () (@list @t42 @t41 @t46)) % 0.44/0.64 (define @t52 () (@var "A" $$unsorted)) % 0.44/0.64 (define @t53 () (tptp.orthogonal_through_point @t42 @t52)) % 0.44/0.64 (define @t54 () (@list @t52 @t42)) % 0.44/0.64 (define @t55 () (not @t43)) % 0.44/0.64 (define @t56 () (not @t44)) % 0.44/0.64 (define @t57 () (not @t48)) % 0.44/0.64 (define @t58 () (not @t49)) % 0.44/0.64 (define @t59 () (@var "B" $$unsorted)) % 0.44/0.64 (define @t60 () (tptp.point @t52)) % 0.44/0.64 (define @t61 () (tptp.line @t42)) % 0.44/0.64 (define @t62 () (and @t61 @t60)) % 0.44/0.64 (define @t63 () (@list @t42 @t52)) % 0.44/0.64 (define @t64 () (not @t6)) % 0.44/0.64 (define @t65 () (not @t11)) % 0.44/0.64 (define @t66 () (not @t15)) % 0.44/0.64 (define @t67 () (not @t33)) % 0.44/0.64 (define @t68 () (and @t14 (tptp.equal_points @t18 (tptp.intersection_point @t1 @t3)))) % 0.44/0.64 (define @t69 () (tptp.equal_lines @t4 @t3)) % 0.44/0.64 (define @t70 () (and @t15 @t69)) % 0.44/0.64 (define @t71 () (forall @t7 (=> @t70 @t68))) % 0.44/0.64 (define @t72 () (not @t71)) % 0.44/0.64 (define @t73 () (or @t65 @t9 @t8)) % 0.44/0.64 (define @t74 () (not @t69)) % 0.44/0.64 (define @t75 () (or @t66 @t74 @t68)) % 0.44/0.64 (define @t76 () (forall @t7 @t75)) % 0.44/0.64 (define @t77 () (@quantifiers_skolemize @t76 1)) % 0.44/0.64 (define @t78 () (@quantifiers_skolemize @t76 2)) % 0.44/0.64 (define @t79 () (@quantifiers_skolemize @t76 0)) % 0.44/0.64 (define @t80 () (tptp.intersection_point @t79 @t77)) % 0.44/0.64 (define @t81 () (not @t30)) % 0.44/0.64 (define @t82 () (tptp.intersection_point @t79 @t78)) % 0.44/0.64 (define @t83 () (@list @t79 @t78)) % 0.44/0.64 (define @t84 () (tptp.equal_lines @t77 @t78)) % 0.44/0.64 (define @t85 () (tptp.equal_points @t80 @t82)) % 0.44/0.64 (define @t86 () (tptp.convergent_lines @t79 @t78)) % 0.44/0.64 (define @t87 () (and @t86 @t85)) % 0.44/0.64 (define @t88 () (not @t84)) % 0.44/0.64 (define @t89 () (tptp.convergent_lines @t79 @t77)) % 0.44/0.64 (define @t90 () (not @t89)) % 0.44/0.64 (define @t91 () (or @t90 @t88 @t87)) % 0.44/0.64 (define @t92 () (@list true)) % 0.44/0.64 (define @t93 () (@list @t91)) % 0.44/0.64 (define @t94 () (tptp.distinct_lines @t77 @t78)) % 0.44/0.64 (define @t95 () (not @t94)) % 0.44/0.64 (define @t96 () (= @t84 @t95)) % 0.44/0.64 (define @t97 () (@list false false)) % 0.44/0.64 (define @t98 () (or @t90 @t94 @t86)) % 0.44/0.64 (define @t99 () (@list false true false)) % 0.44/0.64 (define @t100 () (tptp.apart_point_and_line @t82 @t78)) % 0.44/0.64 (define @t101 () (not @t100)) % 0.44/0.64 (define @t102 () (not @t86)) % 0.44/0.64 (define @t103 () (or @t102 @t101)) % 0.44/0.64 (define @t104 () (tptp.apart_point_and_line @t82 @t79)) % 0.44/0.64 (define @t105 () (not @t104)) % 0.44/0.64 (define @t106 () (or @t102 @t105)) % 0.44/0.64 (define @t107 () (@list true false)) % 0.44/0.64 (define @t108 () (tptp.distinct_points @t80 @t82)) % 0.44/0.64 (define @t109 () (not @t108)) % 0.44/0.64 (define @t110 () (= @t85 @t109)) % 0.44/0.64 (define @t111 () (not @t110)) % 0.44/0.64 (define @t112 () (tptp.convergent_lines @t79 @t79)) % 0.44/0.64 (define @t113 () (tptp.distinct_lines @t77 @t79)) % 0.44/0.64 (define @t114 () (or @t90 @t113 @t112)) % 0.44/0.64 (define @t115 () (tptp.distinct_lines @t79 @t78)) % 0.44/0.64 (define @t116 () (not @t113)) % 0.44/0.64 (define @t117 () (or @t116 @t94 @t115)) % 0.44/0.64 (define @t118 () (@list true false false)) % 0.44/0.64 (define @t119 () (@list @t79 @t77)) % 0.44/0.64 (define @t120 () (tptp.apart_point_and_line @t80 @t79)) % 0.44/0.64 (define @t121 () (not @t120)) % 0.44/0.64 (define @t122 () (or @t90 @t121)) % 0.44/0.64 (define @t123 () (tptp.apart_point_and_line @t80 @t78)) % 0.44/0.64 (define @t124 () (not @t115)) % 0.44/0.64 (define @t125 () (or @t109 @t124 @t120 @t123 @t104 @t100)) % 0.44/0.64 (define @t126 () (tptp.apart_point_and_line @t80 @t77)) % 0.44/0.64 (define @t127 () (not @t126)) % 0.44/0.64 (define @t128 () (or @t90 @t127)) % 0.44/0.64 (define @t129 () (tptp.distinct_lines @t78 @t77)) % 0.44/0.64 (define @t130 () (not @t123)) % 0.44/0.64 (define @t131 () (or @t130 @t129 @t126)) % 0.44/0.64 (define @t132 () (tptp.convergent_lines @t78 @t78)) % 0.44/0.64 (define @t133 () (tptp.distinct_lines @t78 @t78)) % 0.44/0.64 (define @t134 () (not @t133)) % 0.44/0.64 (define @t135 () (or @t134 @t132)) % 0.44/0.64 (define @t136 () (not @t129)) % 0.44/0.64 (define @t137 () (or @t136 @t133 @t94)) % 0.44/0.64 (define @t138 () (not @t137)) % 0.44/0.64 (define @t139 () (forall @t7 @t73)) % 0.44/0.64 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.44/0.64 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.44/0.64 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.44/0.64 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.44/0.64 (assume @p5 @t12) % 0.44/0.64 (assume @p6 (forall @t7 (=> @t15 (or @t14 @t13)))) % 0.44/0.64 (assume @p7 (forall @t17 (=> @t6 (not (tptp.apart_point_and_line @t1 @t16))))) % 0.44/0.64 (assume @p8 (forall @t17 (=> @t6 (not (tptp.apart_point_and_line @t4 @t16))))) % 0.44/0.64 (assume @p9 @t20) % 0.44/0.64 (assume @p10 @t22) % 0.44/0.64 (assume @p11 @t32) % 0.44/0.64 (assume @p12 (forall @t7 (=> @t33 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.44/0.64 (assume @p13 @t36) % 0.44/0.64 (assume @p14 @t38) % 0.44/0.64 (assume @p15 @t39) % 0.44/0.64 (assume @p16 (forall @t17 (not (tptp.convergent_lines @t40 @t4)))) % 0.44/0.64 (assume @p17 (forall @t17 (not (tptp.apart_point_and_line @t1 @t40)))) % 0.44/0.64 (assume @p18 (forall @t7 (=> @t8 (or @t33 @t34 @t13)))) % 0.44/0.64 (assume @p19 (forall @t45 (or @t44 @t43))) % 0.44/0.64 (assume @p20 (forall @t51 (=> (and @t44 @t43) (or (and @t50 @t49) (and @t48 @t47))))) % 0.44/0.64 (assume @p21 (forall @t54 (not (tptp.unorthogonal_lines @t53 @t42)))) % 0.44/0.64 (assume @p22 (forall @t54 (not (tptp.apart_point_and_line @t52 @t53)))) % 0.44/0.64 (assume @p23 (forall (@list @t52 @t42 @t41 @t46) (=> (tptp.distinct_lines @t42 @t41) (or (tptp.apart_point_and_line @t52 @t42) (tptp.apart_point_and_line @t52 @t41) @t49 @t47)))) % 0.44/0.64 (assume @p24 (forall @t45 (not (and @t56 @t55)))) % 0.44/0.64 (assume @p25 (forall @t51 (=> (and (or @t56 @t55) (or (not @t50) @t58)) (or @t57 (not @t47))))) % 0.44/0.64 (assume @p26 (forall @t51 (=> (and @t55 @t58) @t57))) % 0.44/0.64 (assume @p27 (forall (@list @t52 @t59) (=> (and @t60 (tptp.point @t59) (tptp.distinct_points @t52 @t59)) (tptp.line (tptp.line_connecting @t52 @t59))))) % 0.44/0.64 (assume @p28 (forall @t45 (=> (and @t61 (tptp.line @t41) @t44) (tptp.point (tptp.intersection_point @t42 @t41))))) % 0.44/0.64 (assume @p29 (forall @t63 (=> @t62 (tptp.line (tptp.parallel_through_point @t42 @t52))))) % 0.44/0.64 (assume @p30 (forall @t63 (=> @t62 (tptp.line @t53)))) % 0.44/0.64 (assume @p31 (forall @t17 (= (tptp.equal_points @t1 @t4) @t64))) % 0.44/0.64 (assume @p32 (forall @t17 (= (tptp.equal_lines @t1 @t4) @t65))) % 0.44/0.64 (assume @p33 (forall @t17 (= (tptp.parallel_lines @t1 @t4) @t66))) % 0.44/0.64 (assume @p34 (forall @t17 (= (tptp.incident_point_and_line @t1 @t4) @t67))) % 0.44/0.64 (assume @p35 (forall @t17 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.44/0.64 (assume @p36 @t72) % 0.44/0.64 (assume @p37 true) % 0.44/0.64 (step @p38 :rule aci_norm :args ((= (or @t65 @t10) @t73))) % 0.44/0.64 (step @p39 :rule bool-impl-elim :args (@t11 @t10)) % 0.44/0.64 (step @p40 :rule trans :premises (@p39 @p38)) % 0.44/0.64 (step @p41 :rule cong :premises (@p40) :args (@t12)) % 0.44/0.64 (step @p42 :rule eq_resolve :premises (@p5 @p41)) % 0.44/0.64 (step @p43 :rule aci_norm :args ((= (or @t67 @t35) (or @t67 @t8 @t34)))) % 0.44/0.64 (step @p44 :rule bool-impl-elim :args (@t33 @t35)) % 0.44/0.64 (step @p45 :rule trans :premises (@p44 @p43)) % 0.44/0.64 (step @p46 :rule cong :premises (@p45) :args (@t36)) % 0.44/0.64 (step @p47 :rule eq_resolve :premises (@p13 @p46)) % 0.44/0.64 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t80 @t78 @t77))) % 0.44/0.64 (step @p49 :rule aci_norm :args ((= (or (or @t64 @t81) @t29) (or @t64 @t81 @t28 @t27 @t26 @t24)))) % 0.44/0.64 (step @p50 :rule refl :args (@t29)) % 0.44/0.64 (step @p51 :rule bool-and-de-morgan :args (@t6 @t30 true)) % 0.44/0.64 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t31) @t29))) % 0.44/0.64 (step @p53 :rule trans :premises (@p52 @p49)) % 0.44/0.64 (step @p54 :rule bool-impl-elim :args (@t31 @t29)) % 0.44/0.64 (step @p55 :rule trans :premises (@p54 @p53)) % 0.44/0.64 (step @p56 :rule cong :premises (@p55) :args (@t32)) % 0.44/0.64 (step @p57 :rule eq_resolve :premises (@p11 @p56)) % 0.44/0.64 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t80 @t82 @t79 @t78))) % 0.44/0.64 (step @p59 :rule bool-impl-elim :args (@t15 @t21)) % 0.44/0.64 (step @p60 :rule cong :premises (@p59) :args (@t22)) % 0.44/0.64 (step @p61 :rule eq_resolve :premises (@p10 @p60)) % 0.44/0.64 (step @p62 :rule instantiate :premises (@p61) :args (@t83)) % 0.44/0.64 (step @p63 :rule aci_norm :args ((= (or @t66 @t37) (or @t66 @t8 @t14)))) % 0.44/0.64 (step @p64 :rule bool-impl-elim :args (@t15 @t37)) % 0.44/0.64 (step @p65 :rule trans :premises (@p64 @p63)) % 0.44/0.64 (step @p66 :rule cong :premises (@p65) :args (@t38)) % 0.44/0.64 (step @p67 :rule eq_resolve :premises (@p14 @p66)) % 0.44/0.64 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t79 @t77 @t78))) % 0.44/0.64 (step @p69 :rule instantiate :premises (@p32) :args ((@list @t77 @t78))) % 0.44/0.64 (step @p70 :rule aci_norm :args ((= (or (or @t66 @t74) @t68) @t75))) % 0.44/0.64 (step @p71 :rule refl :args (@t68)) % 0.44/0.64 (step @p72 :rule bool-and-de-morgan :args (@t15 @t69 true)) % 0.44/0.64 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or (not @t70) @t68))) % 0.44/0.64 (step @p74 :rule trans :premises (@p73 @p70)) % 0.44/0.64 (step @p75 :rule bool-impl-elim :args (@t70 @t68)) % 0.44/0.64 (step @p76 :rule trans :premises (@p75 @p74)) % 0.44/0.64 (step @p77 :rule cong :premises (@p76) :args (@t71)) % 0.44/0.64 (step @p78 :rule cong :premises (@p77) :args (@t72)) % 0.44/0.64 (step @p79 :rule eq_resolve :premises (@p36 @p78)) % 0.44/0.64 (step @p80 :rule skolemize :premises (@p79)) % 0.44/0.64 (step @p81 :rule bool-double-not-elim :args (@t84)) % 0.44/0.64 (step @p82 :rule refl :args (@t91)) % 0.44/0.64 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t91 (not @t88)))) % 0.44/0.64 (step @p84 :rule cnf_or_neg :args (@t91 1)) % 0.44/0.64 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.44/0.64 (step @p86 :rule reordering :premises (@p85) :args ((or @t84 @t91))) % 0.44/0.64 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t84 @t92 @t93)) % 0.44/0.64 (step @p88 :rule cnf_equiv_pos1 :args (@t96)) % 0.44/0.64 (step @p89 :rule reordering :premises (@p88) :args ((or @t88 @t95 (not @t96)))) % 0.44/0.64 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p69) :args (@t95 @t97 (@list @t84 @t96))) % 0.44/0.64 (step @p91 :rule bool-double-not-elim :args (@t89)) % 0.44/0.64 (step @p92 :rule nary_cong :premises (@p82 @p91) :args ((or @t91 (not @t90)))) % 0.44/0.64 (step @p93 :rule cnf_or_neg :args (@t91 0)) % 0.44/0.64 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.44/0.64 (step @p95 :rule reordering :premises (@p94) :args ((or @t89 @t91))) % 0.44/0.64 (step @p96 :rule chain_m_resolution :premises (@p95 @p80) :args (@t89 @t92 @t93)) % 0.44/0.64 (step @p97 :rule cnf_or_pos :args (@t98)) % 0.44/0.64 (step @p98 :rule reordering :premises (@p97) :args ((or @t90 @t86 @t94 (not @t98)))) % 0.44/0.64 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p90 @p68) :args (@t86 @t99 (@list @t89 @t94 @t98))) % 0.44/0.64 (step @p100 :rule cnf_or_pos :args (@t103)) % 0.44/0.64 (step @p101 :rule reordering :premises (@p100) :args ((or @t102 @t101 (not @t103)))) % 0.44/0.64 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p62) :args (@t101 @t97 (@list @t86 @t103))) % 0.44/0.64 (step @p103 :rule bool-impl-elim :args (@t15 @t19)) % 0.44/0.64 (step @p104 :rule cong :premises (@p103) :args (@t20)) % 0.44/0.64 (step @p105 :rule eq_resolve :premises (@p9 @p104)) % 0.44/0.64 (step @p106 :rule instantiate :premises (@p105) :args (@t83)) % 0.44/0.64 (step @p107 :rule cnf_or_pos :args (@t106)) % 0.44/0.64 (step @p108 :rule reordering :premises (@p107) :args ((or @t102 @t105 (not @t106)))) % 0.44/0.64 (step @p109 :rule chain_m_resolution :premises (@p108 @p99 @p106) :args (@t105 @t97 (@list @t86 @t106))) % 0.44/0.64 (step @p110 :rule instantiate :premises (@p31) :args ((@list @t80 @t82))) % 0.44/0.64 (step @p111 :rule cnf_or_neg :args (@t91 2)) % 0.44/0.64 (step @p112 :rule chain_m_resolution :premises (@p111 @p80) :args ((not @t87) @t92 @t93)) % 0.44/0.64 (step @p113 :rule cnf_and_neg :args (@t87)) % 0.44/0.64 (step @p114 :rule chain_m_resolution :premises (@p113 @p112 @p99) :args ((not @t85) @t107 (@list @t87 @t86))) % 0.44/0.64 (step @p115 :rule bool-double-not-elim :args (@t108)) % 0.44/0.64 (step @p116 :rule refl :args (@t85)) % 0.44/0.64 (step @p117 :rule refl :args (@t111)) % 0.44/0.64 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115) :args ((or @t111 @t85 (not @t109)))) % 0.44/0.64 (step @p119 :rule cnf_equiv_pos2 :args (@t110)) % 0.44/0.64 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.44/0.64 (step @p121 :rule reordering :premises (@p120) :args ((or @t85 @t108 @t111))) % 0.44/0.64 (step @p122 :rule chain_m_resolution :premises (@p121 @p114 @p110) :args (@t108 @t107 (@list @t85 @t110))) % 0.44/0.64 (step @p123 :rule instantiate :premises (@p42) :args ((@list @t77 @t79 @t78))) % 0.44/0.64 (step @p124 :rule instantiate :premises (@p67) :args ((@list @t79 @t77 @t79))) % 0.44/0.64 (step @p125 :rule instantiate :premises (@p3) :args ((@list @t79))) % 0.44/0.64 (step @p126 :rule cnf_or_pos :args (@t114)) % 0.44/0.64 (step @p127 :rule reordering :premises (@p126) :args ((or @t90 @t112 @t113 (not @t114)))) % 0.44/0.64 (step @p128 :rule chain_m_resolution :premises (@p127 @p96 @p125 @p124) :args (@t113 @t99 (@list @t89 @t112 @t114))) % 0.44/0.64 (step @p129 :rule cnf_or_pos :args (@t117)) % 0.44/0.64 (step @p130 :rule reordering :premises (@p129) :args ((or @t115 @t94 @t116 (not @t117)))) % 0.44/0.64 (step @p131 :rule chain_m_resolution :premises (@p130 @p90 @p128 @p123) :args (@t115 @t118 (@list @t94 @t113 @t117))) % 0.44/0.64 (step @p132 :rule instantiate :premises (@p105) :args (@t119)) % 0.44/0.64 (step @p133 :rule cnf_or_pos :args (@t122)) % 0.44/0.64 (step @p134 :rule reordering :premises (@p133) :args ((or @t90 @t121 (not @t122)))) % 0.44/0.64 (step @p135 :rule chain_m_resolution :premises (@p134 @p96 @p132) :args (@t121 @t97 (@list @t89 @t122))) % 0.44/0.64 (step @p136 :rule cnf_or_pos :args (@t125)) % 0.44/0.64 (step @p137 :rule reordering :premises (@p136) :args ((or @t120 @t124 @t109 @t104 @t100 @t123 (not @t125)))) % 0.44/0.64 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p131 @p122 @p109 @p102 @p58) :args (@t123 (@list true false false true true false) (@list @t120 @t115 @t108 @t104 @t100 @t125))) % 0.44/0.64 (step @p139 :rule instantiate :premises (@p61) :args (@t119)) % 0.44/0.64 (step @p140 :rule cnf_or_pos :args (@t128)) % 0.44/0.64 (step @p141 :rule reordering :premises (@p140) :args ((or @t90 @t127 (not @t128)))) % 0.44/0.64 (step @p142 :rule chain_m_resolution :premises (@p141 @p96 @p139) :args (@t127 @t97 (@list @t89 @t128))) % 0.44/0.64 (step @p143 :rule cnf_or_pos :args (@t131)) % 0.44/0.64 (step @p144 :rule reordering :premises (@p143) :args ((or @t126 @t129 @t130 (not @t131)))) % 0.44/0.64 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p138 @p48) :args (@t129 @t118 (@list @t126 @t123 @t131))) % 0.44/0.64 (step @p146 :rule bool-impl-elim :args (@t11 @t15)) % 0.44/0.64 (step @p147 :rule cong :premises (@p146) :args (@t39)) % 0.44/0.64 (step @p148 :rule eq_resolve :premises (@p15 @p147)) % 0.44/0.64 (step @p149 :rule instantiate :premises (@p148) :args ((@list @t78 @t78))) % 0.44/0.64 (step @p150 :rule instantiate :premises (@p3) :args ((@list @t78))) % 0.44/0.64 (step @p151 :rule cnf_or_pos :args (@t135)) % 0.44/0.64 (step @p152 :rule reordering :premises (@p151) :args ((or @t132 @t134 (not @t135)))) % 0.44/0.64 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p149) :args (@t134 @t107 (@list @t132 @t135))) % 0.44/0.64 (step @p154 :rule cnf_or_pos :args (@t137)) % 0.44/0.64 (step @p155 :rule reordering :premises (@p154) :args ((or @t94 @t133 @t136 @t138))) % 0.44/0.64 (step @p156 :rule chain_m_resolution :premises (@p155 @p90 @p153 @p145) :args (@t138 (@list true true false) (@list @t94 @t133 @t129))) % 0.44/0.64 (assume-push @p163 @t139) % 0.44/0.64 (step @p158 :rule instantiate :premises (@p42) :args ((@list @t78 @t77 @t78))) % 0.44/0.64 (step-pop @p164 :rule scope :premises (@p158)) % 0.44/0.64 (step @p159 :rule process_scope :premises (@p164) :args (@t137)) % 0.44/0.64 (step @p161 :rule implies_elim :premises (@p159)) % 0.44/0.64 (step @p162 false :rule chain_m_resolution :premises (@p161 @p156 @p42) :args (false @t107 (@list @t137 @t139))) % 0.44/0.64 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------