%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO182+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 : n022.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 08:16:35 AM UTC 2026 % Result : Theorem 0.46s 0.65s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO182+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:39:08 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.65 % SZS status Theorem % 0.46/0.65 % SZS output start Proof % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.line (-> $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.point (-> $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (define @t1 () (@var "X" $$unsorted)) % 0.46/0.65 (define @t2 () (@list @t1)) % 0.46/0.65 (define @t3 () (@var "Z" $$unsorted)) % 0.46/0.65 (define @t4 () (@var "Y" $$unsorted)) % 0.46/0.65 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.46/0.65 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.46/0.65 (define @t7 () (or @t6 @t5)) % 0.46/0.65 (define @t8 () (tptp.distinct_points @t1 @t4)) % 0.46/0.65 (define @t9 () (@list @t1 @t4 @t3)) % 0.46/0.65 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.46/0.65 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 0.46/0.65 (define @t12 () (tptp.distinct_lines @t1 @t3)) % 0.46/0.65 (define @t13 () (or @t12 @t11)) % 0.46/0.65 (define @t14 () (tptp.distinct_lines @t1 @t4)) % 0.46/0.65 (define @t15 () (forall @t9 (=> @t14 @t13))) % 0.46/0.65 (define @t16 () (tptp.convergent_lines @t4 @t3)) % 0.46/0.65 (define @t17 () (tptp.convergent_lines @t1 @t3)) % 0.46/0.65 (define @t18 () (tptp.convergent_lines @t1 @t4)) % 0.46/0.65 (define @t19 () (tptp.line_connecting @t1 @t4)) % 0.46/0.65 (define @t20 () (not (tptp.apart_point_and_line @t1 @t19))) % 0.46/0.65 (define @t21 () (@list @t1 @t4)) % 0.46/0.65 (define @t22 () (forall @t21 (=> @t8 @t20))) % 0.46/0.65 (define @t23 () (not (tptp.apart_point_and_line @t4 @t19))) % 0.46/0.65 (define @t24 () (forall @t21 (=> @t8 @t23))) % 0.46/0.65 (define @t25 () (tptp.intersection_point @t1 @t4)) % 0.46/0.65 (define @t26 () (@var "V" $$unsorted)) % 0.46/0.65 (define @t27 () (tptp.apart_point_and_line @t4 @t26)) % 0.46/0.65 (define @t28 () (@var "U" $$unsorted)) % 0.46/0.65 (define @t29 () (tptp.apart_point_and_line @t4 @t28)) % 0.46/0.65 (define @t30 () (tptp.apart_point_and_line @t1 @t26)) % 0.46/0.65 (define @t31 () (tptp.apart_point_and_line @t1 @t28)) % 0.46/0.65 (define @t32 () (or @t31 @t30 @t29 @t27)) % 0.46/0.65 (define @t33 () (tptp.distinct_lines @t28 @t26)) % 0.46/0.65 (define @t34 () (and @t8 @t33)) % 0.46/0.65 (define @t35 () (forall (@list @t1 @t4 @t28 @t26) (=> @t34 @t32))) % 0.46/0.65 (define @t36 () (tptp.apart_point_and_line @t1 @t4)) % 0.46/0.65 (define @t37 () (tptp.apart_point_and_line @t1 @t3)) % 0.46/0.65 (define @t38 () (or @t11 @t37)) % 0.46/0.65 (define @t39 () (forall @t9 (=> @t36 @t38))) % 0.46/0.65 (define @t40 () (forall @t21 (=> @t14 @t18))) % 0.46/0.65 (define @t41 () (tptp.parallel_through_point @t4 @t1)) % 0.46/0.65 (define @t42 () (@var "M" $$unsorted)) % 0.46/0.65 (define @t43 () (@var "L" $$unsorted)) % 0.46/0.65 (define @t44 () (tptp.unorthogonal_lines @t43 @t42)) % 0.46/0.65 (define @t45 () (tptp.convergent_lines @t43 @t42)) % 0.46/0.65 (define @t46 () (@list @t43 @t42)) % 0.46/0.65 (define @t47 () (@var "N" $$unsorted)) % 0.46/0.65 (define @t48 () (tptp.unorthogonal_lines @t42 @t47)) % 0.46/0.65 (define @t49 () (tptp.convergent_lines @t42 @t47)) % 0.46/0.65 (define @t50 () (tptp.unorthogonal_lines @t43 @t47)) % 0.46/0.65 (define @t51 () (tptp.convergent_lines @t43 @t47)) % 0.46/0.65 (define @t52 () (@list @t43 @t42 @t47)) % 0.46/0.65 (define @t53 () (@var "A" $$unsorted)) % 0.46/0.65 (define @t54 () (tptp.orthogonal_through_point @t43 @t53)) % 0.46/0.65 (define @t55 () (@list @t53 @t43)) % 0.46/0.65 (define @t56 () (not @t44)) % 0.46/0.65 (define @t57 () (not @t45)) % 0.46/0.65 (define @t58 () (not @t49)) % 0.46/0.65 (define @t59 () (not @t50)) % 0.46/0.65 (define @t60 () (@var "B" $$unsorted)) % 0.46/0.65 (define @t61 () (tptp.point @t53)) % 0.46/0.65 (define @t62 () (tptp.line @t43)) % 0.46/0.65 (define @t63 () (and @t62 @t61)) % 0.46/0.65 (define @t64 () (@list @t43 @t53)) % 0.46/0.65 (define @t65 () (not @t8)) % 0.46/0.65 (define @t66 () (not @t14)) % 0.46/0.65 (define @t67 () (not @t36)) % 0.46/0.65 (define @t68 () (tptp.apart_point_and_line @t3 (tptp.line_connecting @t4 @t1))) % 0.46/0.65 (define @t69 () (tptp.apart_point_and_line @t3 @t19)) % 0.46/0.65 (define @t70 () (=> @t69 @t68)) % 0.46/0.65 (define @t71 () (forall @t9 (=> @t8 @t70))) % 0.46/0.65 (define @t72 () (not @t71)) % 0.46/0.65 (define @t73 () (not @t69)) % 0.46/0.65 (define @t74 () (or @t65 @t73 @t68)) % 0.46/0.65 (define @t75 () (forall @t9 @t74)) % 0.46/0.65 (define @t76 () (@quantifiers_skolemize @t75 1)) % 0.46/0.65 (define @t77 () (@quantifiers_skolemize @t75 0)) % 0.46/0.65 (define @t78 () (@list @t77 @t76)) % 0.46/0.65 (define @t79 () (tptp.distinct_points @t77 @t76)) % 0.46/0.65 (define @t80 () (tptp.line_connecting @t76 @t77)) % 0.46/0.65 (define @t81 () (@quantifiers_skolemize @t75 2)) % 0.46/0.65 (define @t82 () (tptp.apart_point_and_line @t81 @t80)) % 0.46/0.65 (define @t83 () (tptp.line_connecting @t77 @t76)) % 0.46/0.65 (define @t84 () (tptp.apart_point_and_line @t81 @t83)) % 0.46/0.65 (define @t85 () (not @t84)) % 0.46/0.65 (define @t86 () (not @t79)) % 0.46/0.65 (define @t87 () (or @t86 @t85 @t82)) % 0.46/0.65 (define @t88 () (@list true)) % 0.46/0.65 (define @t89 () (@list @t87)) % 0.46/0.65 (define @t90 () (tptp.apart_point_and_line @t77 @t83)) % 0.46/0.65 (define @t91 () (not @t90)) % 0.46/0.65 (define @t92 () (or @t86 @t91)) % 0.46/0.65 (define @t93 () (@list false false)) % 0.46/0.65 (define @t94 () (tptp.apart_point_and_line @t76 @t83)) % 0.46/0.65 (define @t95 () (not @t94)) % 0.46/0.65 (define @t96 () (or @t86 @t95)) % 0.46/0.65 (define @t97 () (@list @t76 @t77)) % 0.46/0.65 (define @t98 () (tptp.distinct_points @t76 @t77)) % 0.46/0.65 (define @t99 () (tptp.distinct_points @t77 @t77)) % 0.46/0.65 (define @t100 () (or @t86 @t99 @t98)) % 0.46/0.65 (define @t101 () (@list false true false)) % 0.46/0.65 (define @t102 () (tptp.apart_point_and_line @t76 @t80)) % 0.46/0.65 (define @t103 () (not @t102)) % 0.46/0.65 (define @t104 () (not @t98)) % 0.46/0.65 (define @t105 () (or @t104 @t103)) % 0.46/0.65 (define @t106 () (tptp.parallel_through_point @t83 @t77)) % 0.46/0.65 (define @t107 () (tptp.convergent_lines @t106 @t83)) % 0.46/0.65 (define @t108 () (tptp.distinct_lines @t106 @t83)) % 0.46/0.65 (define @t109 () (not @t108)) % 0.46/0.65 (define @t110 () (or @t109 @t107)) % 0.46/0.65 (define @t111 () (tptp.distinct_lines @t83 @t83)) % 0.46/0.65 (define @t112 () (tptp.distinct_lines @t83 @t106)) % 0.46/0.65 (define @t113 () (not @t112)) % 0.46/0.65 (define @t114 () (or @t113 @t111 @t108)) % 0.46/0.65 (define @t115 () (tptp.apart_point_and_line @t81 @t106)) % 0.46/0.65 (define @t116 () (or @t85 @t112 @t115)) % 0.46/0.65 (define @t117 () (tptp.distinct_lines @t106 @t80)) % 0.46/0.65 (define @t118 () (not @t115)) % 0.46/0.65 (define @t119 () (or @t118 @t117 @t82)) % 0.46/0.65 (define @t120 () (@list true false false)) % 0.46/0.65 (define @t121 () (tptp.distinct_lines @t80 @t83)) % 0.46/0.65 (define @t122 () (not @t117)) % 0.46/0.65 (define @t123 () (or @t122 @t108 @t121)) % 0.46/0.65 (define @t124 () (not @t33)) % 0.46/0.65 (define @t125 () (tptp.apart_point_and_line @t77 @t80)) % 0.46/0.65 (define @t126 () (not @t125)) % 0.46/0.65 (define @t127 () (or @t104 @t126)) % 0.46/0.65 (define @t128 () (not @t121)) % 0.46/0.65 (define @t129 () (or @t104 @t128 @t102 @t94 @t125 @t90)) % 0.46/0.65 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.46/0.65 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.46/0.65 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.46/0.65 (assume @p4 @t10) % 0.46/0.65 (assume @p5 @t15) % 0.46/0.65 (assume @p6 (forall @t9 (=> @t18 (or @t17 @t16)))) % 0.46/0.65 (assume @p7 @t22) % 0.46/0.65 (assume @p8 @t24) % 0.46/0.65 (assume @p9 (forall @t21 (=> @t18 (not (tptp.apart_point_and_line @t25 @t1))))) % 0.46/0.65 (assume @p10 (forall @t21 (=> @t18 (not (tptp.apart_point_and_line @t25 @t4))))) % 0.46/0.65 (assume @p11 @t35) % 0.46/0.65 (assume @p12 (forall @t9 (=> @t36 (or @t6 (tptp.apart_point_and_line @t3 @t4))))) % 0.46/0.65 (assume @p13 @t39) % 0.46/0.65 (assume @p14 (forall @t9 (=> @t18 (or @t11 @t17)))) % 0.46/0.65 (assume @p15 @t40) % 0.46/0.65 (assume @p16 (forall @t21 (not (tptp.convergent_lines @t41 @t4)))) % 0.46/0.65 (assume @p17 (forall @t21 (not (tptp.apart_point_and_line @t1 @t41)))) % 0.46/0.65 (assume @p18 (forall @t9 (=> @t11 (or @t36 @t37 @t16)))) % 0.46/0.65 (assume @p19 (forall @t46 (or @t45 @t44))) % 0.46/0.65 (assume @p20 (forall @t52 (=> (and @t45 @t44) (or (and @t51 @t50) (and @t49 @t48))))) % 0.46/0.65 (assume @p21 (forall @t55 (not (tptp.unorthogonal_lines @t54 @t43)))) % 0.46/0.65 (assume @p22 (forall @t55 (not (tptp.apart_point_and_line @t53 @t54)))) % 0.46/0.65 (assume @p23 (forall (@list @t53 @t43 @t42 @t47) (=> (tptp.distinct_lines @t43 @t42) (or (tptp.apart_point_and_line @t53 @t43) (tptp.apart_point_and_line @t53 @t42) @t50 @t48)))) % 0.46/0.65 (assume @p24 (forall @t46 (not (and @t57 @t56)))) % 0.46/0.65 (assume @p25 (forall @t52 (=> (and (or @t57 @t56) (or (not @t51) @t59)) (or @t58 (not @t48))))) % 0.46/0.65 (assume @p26 (forall @t52 (=> (and @t56 @t59) @t58))) % 0.46/0.65 (assume @p27 (forall (@list @t53 @t60) (=> (and @t61 (tptp.point @t60) (tptp.distinct_points @t53 @t60)) (tptp.line (tptp.line_connecting @t53 @t60))))) % 0.46/0.65 (assume @p28 (forall @t46 (=> (and @t62 (tptp.line @t42) @t45) (tptp.point (tptp.intersection_point @t43 @t42))))) % 0.46/0.65 (assume @p29 (forall @t64 (=> @t63 (tptp.line (tptp.parallel_through_point @t43 @t53))))) % 0.46/0.65 (assume @p30 (forall @t64 (=> @t63 (tptp.line @t54)))) % 0.46/0.65 (assume @p31 (forall @t21 (= (tptp.equal_points @t1 @t4) @t65))) % 0.46/0.65 (assume @p32 (forall @t21 (= (tptp.equal_lines @t1 @t4) @t66))) % 0.46/0.65 (assume @p33 (forall @t21 (= (tptp.parallel_lines @t1 @t4) (not @t18)))) % 0.46/0.65 (assume @p34 (forall @t21 (= (tptp.incident_point_and_line @t1 @t4) @t67))) % 0.46/0.65 (assume @p35 (forall @t21 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.46/0.65 (assume @p36 @t72) % 0.46/0.65 (assume @p37 true) % 0.46/0.65 (step @p38 :rule bool-impl-elim :args (@t8 @t20)) % 0.46/0.65 (step @p39 :rule cong :premises (@p38) :args (@t22)) % 0.46/0.65 (step @p40 :rule eq_resolve :premises (@p7 @p39)) % 0.46/0.65 (step @p41 :rule instantiate :premises (@p40) :args (@t78)) % 0.46/0.65 (step @p42 :rule aci_norm :args ((= (or @t65 (or @t73 @t68)) @t74))) % 0.46/0.65 (step @p43 :rule bool-impl-elim :args (@t69 @t68)) % 0.46/0.65 (step @p44 :rule refl :args (@t65)) % 0.46/0.65 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t65 @t70))) % 0.46/0.65 (step @p46 :rule trans :premises (@p45 @p42)) % 0.46/0.65 (step @p47 :rule bool-impl-elim :args (@t8 @t70)) % 0.46/0.65 (step @p48 :rule trans :premises (@p47 @p46)) % 0.46/0.65 (step @p49 :rule cong :premises (@p48) :args (@t71)) % 0.46/0.65 (step @p50 :rule cong :premises (@p49) :args (@t72)) % 0.46/0.65 (step @p51 :rule eq_resolve :premises (@p36 @p50)) % 0.46/0.65 (step @p52 :rule skolemize :premises (@p51)) % 0.46/0.65 (step @p53 :rule bool-double-not-elim :args (@t79)) % 0.46/0.65 (step @p54 :rule refl :args (@t87)) % 0.46/0.65 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t87 (not @t86)))) % 0.46/0.65 (step @p56 :rule cnf_or_neg :args (@t87 0)) % 0.46/0.65 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.46/0.65 (step @p58 :rule reordering :premises (@p57) :args ((or @t79 @t87))) % 0.46/0.65 (step @p59 :rule chain_m_resolution :premises (@p58 @p52) :args (@t79 @t88 @t89)) % 0.46/0.65 (step @p60 :rule cnf_or_pos :args (@t92)) % 0.46/0.65 (step @p61 :rule reordering :premises (@p60) :args ((or @t86 @t91 (not @t92)))) % 0.46/0.65 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p41) :args (@t91 @t93 (@list @t79 @t92))) % 0.46/0.65 (step @p63 :rule bool-impl-elim :args (@t8 @t23)) % 0.46/0.65 (step @p64 :rule cong :premises (@p63) :args (@t24)) % 0.46/0.65 (step @p65 :rule eq_resolve :premises (@p8 @p64)) % 0.46/0.65 (step @p66 :rule instantiate :premises (@p65) :args (@t78)) % 0.46/0.65 (step @p67 :rule cnf_or_pos :args (@t96)) % 0.46/0.65 (step @p68 :rule reordering :premises (@p67) :args ((or @t86 @t95 (not @t96)))) % 0.46/0.65 (step @p69 :rule chain_m_resolution :premises (@p68 @p59 @p66) :args (@t95 @t93 (@list @t79 @t96))) % 0.46/0.65 (step @p70 :rule instantiate :premises (@p40) :args (@t97)) % 0.46/0.65 (step @p71 :rule aci_norm :args ((= (or @t65 @t7) (or @t65 @t6 @t5)))) % 0.46/0.65 (step @p72 :rule bool-impl-elim :args (@t8 @t7)) % 0.46/0.65 (step @p73 :rule trans :premises (@p72 @p71)) % 0.46/0.65 (step @p74 :rule cong :premises (@p73) :args (@t10)) % 0.46/0.65 (step @p75 :rule eq_resolve :premises (@p4 @p74)) % 0.46/0.65 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t77 @t76 @t77))) % 0.46/0.65 (step @p77 :rule instantiate :premises (@p1) :args ((@list @t77))) % 0.46/0.65 (step @p78 :rule cnf_or_pos :args (@t100)) % 0.46/0.65 (step @p79 :rule reordering :premises (@p78) :args ((or @t86 @t98 @t99 (not @t100)))) % 0.46/0.65 (step @p80 :rule chain_m_resolution :premises (@p79 @p59 @p77 @p76) :args (@t98 @t101 (@list @t79 @t99 @t100))) % 0.46/0.65 (step @p81 :rule cnf_or_pos :args (@t105)) % 0.46/0.65 (step @p82 :rule reordering :premises (@p81) :args ((or @t104 @t103 (not @t105)))) % 0.46/0.65 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p70) :args (@t103 @t93 (@list @t98 @t105))) % 0.46/0.65 (step @p84 :rule aci_norm :args ((= (or @t66 @t13) (or @t66 @t12 @t11)))) % 0.46/0.65 (step @p85 :rule bool-impl-elim :args (@t14 @t13)) % 0.46/0.65 (step @p86 :rule trans :premises (@p85 @p84)) % 0.46/0.65 (step @p87 :rule cong :premises (@p86) :args (@t15)) % 0.46/0.65 (step @p88 :rule eq_resolve :premises (@p5 @p87)) % 0.46/0.65 (step @p89 :rule instantiate :premises (@p88) :args ((@list @t106 @t80 @t83))) % 0.46/0.65 (step @p90 :rule aci_norm :args ((= (or @t67 @t38) (or @t67 @t11 @t37)))) % 0.46/0.66 (step @p91 :rule bool-impl-elim :args (@t36 @t38)) % 0.46/0.66 (step @p92 :rule trans :premises (@p91 @p90)) % 0.46/0.66 (step @p93 :rule cong :premises (@p92) :args (@t39)) % 0.46/0.66 (step @p94 :rule eq_resolve :premises (@p13 @p93)) % 0.46/0.66 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t81 @t106 @t80))) % 0.46/0.66 (step @p96 :rule instantiate :premises (@p94) :args ((@list @t81 @t83 @t106))) % 0.46/0.66 (step @p97 :rule instantiate :premises (@p88) :args ((@list @t83 @t106 @t83))) % 0.46/0.66 (step @p98 :rule bool-impl-elim :args (@t14 @t18)) % 0.46/0.66 (step @p99 :rule cong :premises (@p98) :args (@t40)) % 0.46/0.66 (step @p100 :rule eq_resolve :premises (@p15 @p99)) % 0.46/0.66 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t106 @t83))) % 0.46/0.66 (step @p102 :rule instantiate :premises (@p16) :args ((@list @t77 @t83))) % 0.46/0.66 (step @p103 :rule cnf_or_pos :args (@t110)) % 0.46/0.66 (step @p104 :rule reordering :premises (@p103) :args ((or @t107 @t109 (not @t110)))) % 0.46/0.66 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p101) :args (@t109 (@list true false) (@list @t107 @t110))) % 0.46/0.66 (step @p106 :rule instantiate :premises (@p2) :args ((@list @t83))) % 0.46/0.66 (step @p107 :rule cnf_or_pos :args (@t114)) % 0.46/0.66 (step @p108 :rule reordering :premises (@p107) :args ((or @t111 @t108 @t113 (not @t114)))) % 0.46/0.66 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p105 @p97) :args (@t113 (@list true true false) (@list @t111 @t108 @t114))) % 0.46/0.66 (step @p110 :rule bool-double-not-elim :args (@t84)) % 0.46/0.66 (step @p111 :rule nary_cong :premises (@p54 @p110) :args ((or @t87 (not @t85)))) % 0.46/0.66 (step @p112 :rule cnf_or_neg :args (@t87 1)) % 0.46/0.66 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.46/0.66 (step @p114 :rule reordering :premises (@p113) :args ((or @t84 @t87))) % 0.46/0.66 (step @p115 :rule chain_m_resolution :premises (@p114 @p52) :args (@t84 @t88 @t89)) % 0.46/0.66 (step @p116 :rule cnf_or_pos :args (@t116)) % 0.46/0.66 (step @p117 :rule reordering :premises (@p116) :args ((or @t85 @t112 @t115 (not @t116)))) % 0.46/0.66 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p109 @p96) :args (@t115 @t101 (@list @t84 @t112 @t116))) % 0.46/0.66 (step @p119 :rule cnf_or_neg :args (@t87 2)) % 0.46/0.66 (step @p120 :rule chain_m_resolution :premises (@p119 @p52) :args ((not @t82) @t88 @t89)) % 0.46/0.66 (step @p121 :rule cnf_or_pos :args (@t119)) % 0.46/0.66 (step @p122 :rule reordering :premises (@p121) :args ((or @t82 @t117 @t118 (not @t119)))) % 0.46/0.66 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p118 @p95) :args (@t117 @t120 (@list @t82 @t115 @t119))) % 0.46/0.66 (step @p124 :rule cnf_or_pos :args (@t123)) % 0.46/0.66 (step @p125 :rule reordering :premises (@p124) :args ((or @t108 @t122 @t121 (not @t123)))) % 0.46/0.66 (step @p126 :rule chain_m_resolution :premises (@p125 @p105 @p123 @p89) :args (@t121 @t120 (@list @t108 @t117 @t123))) % 0.46/0.66 (step @p127 :rule aci_norm :args ((= (or (or @t65 @t124) @t32) (or @t65 @t124 @t31 @t30 @t29 @t27)))) % 0.46/0.66 (step @p128 :rule refl :args (@t32)) % 0.46/0.66 (step @p129 :rule bool-and-de-morgan :args (@t8 @t33 true)) % 0.46/0.66 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t34) @t32))) % 0.46/0.66 (step @p131 :rule trans :premises (@p130 @p127)) % 0.46/0.66 (step @p132 :rule bool-impl-elim :args (@t34 @t32)) % 0.46/0.66 (step @p133 :rule trans :premises (@p132 @p131)) % 0.46/0.66 (step @p134 :rule cong :premises (@p133) :args (@t35)) % 0.46/0.66 (step @p135 :rule eq_resolve :premises (@p11 @p134)) % 0.46/0.66 (step @p136 :rule instantiate :premises (@p135) :args ((@list @t76 @t77 @t80 @t83))) % 0.46/0.66 (step @p137 :rule instantiate :premises (@p65) :args (@t97)) % 0.46/0.66 (step @p138 :rule cnf_or_pos :args (@t127)) % 0.46/0.66 (step @p139 :rule reordering :premises (@p138) :args ((or @t104 @t126 (not @t127)))) % 0.46/0.66 (step @p140 :rule chain_m_resolution :premises (@p139 @p80 @p137) :args (@t126 @t93 (@list @t98 @t127))) % 0.46/0.66 (step @p141 :rule cnf_or_pos :args (@t129)) % 0.46/0.66 (step @p142 :rule reordering :premises (@p141) :args ((or @t90 @t104 @t102 @t94 @t125 @t128 (not @t129)))) % 0.46/0.66 (step @p143 false :rule chain_m_resolution :premises (@p142 @p140 @p80 @p136 @p126 @p83 @p69 @p62) :args (false (@list true false false false true true true) (@list @t125 @t98 @t129 @t121 @t102 @t94 @t90))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------