%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO222+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:16:49 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO222+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 23:40:45 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t2 () (@list @t1)) % 0.38/0.60 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.60 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.60 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.60 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.60 (define @t9 () (tptp.distinct_lines @t1 @t3)) % 0.38/0.60 (define @t10 () (or @t9 @t8)) % 0.38/0.60 (define @t11 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.60 (define @t12 () (forall @t7 (=> @t11 @t10))) % 0.38/0.60 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.38/0.60 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.60 (define @t15 () (or @t14 @t13)) % 0.38/0.60 (define @t16 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.60 (define @t17 () (forall @t7 (=> @t16 @t15))) % 0.38/0.60 (define @t18 () (tptp.line_connecting @t1 @t4)) % 0.38/0.60 (define @t19 () (@list @t1 @t4)) % 0.38/0.60 (define @t20 () (tptp.intersection_point @t1 @t4)) % 0.38/0.60 (define @t21 () (not (tptp.apart_point_and_line @t20 @t1))) % 0.38/0.60 (define @t22 () (forall @t19 (=> @t16 @t21))) % 0.38/0.60 (define @t23 () (not (tptp.apart_point_and_line @t20 @t4))) % 0.38/0.60 (define @t24 () (forall @t19 (=> @t16 @t23))) % 0.38/0.60 (define @t25 () (@var "V" $$unsorted)) % 0.38/0.60 (define @t26 () (@var "U" $$unsorted)) % 0.38/0.60 (define @t27 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.60 (define @t28 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.60 (define @t29 () (or @t8 @t14)) % 0.38/0.60 (define @t30 () (forall @t7 (=> @t16 @t29))) % 0.38/0.60 (define @t31 () (tptp.parallel_through_point @t4 @t1)) % 0.38/0.60 (define @t32 () (@var "M" $$unsorted)) % 0.38/0.60 (define @t33 () (@var "L" $$unsorted)) % 0.38/0.60 (define @t34 () (tptp.unorthogonal_lines @t33 @t32)) % 0.38/0.60 (define @t35 () (tptp.convergent_lines @t33 @t32)) % 0.38/0.60 (define @t36 () (@var "N" $$unsorted)) % 0.38/0.60 (define @t37 () (tptp.unorthogonal_lines @t32 @t36)) % 0.38/0.60 (define @t38 () (and (tptp.convergent_lines @t32 @t36) @t37)) % 0.38/0.60 (define @t39 () (tptp.unorthogonal_lines @t33 @t36)) % 0.38/0.60 (define @t40 () (and (tptp.convergent_lines @t33 @t36) @t39)) % 0.38/0.60 (define @t41 () (or @t40 @t38)) % 0.38/0.60 (define @t42 () (and @t35 @t34)) % 0.38/0.60 (define @t43 () (forall (@list @t33 @t32 @t36) (=> @t42 @t41))) % 0.38/0.60 (define @t44 () (@var "A" $$unsorted)) % 0.38/0.60 (define @t45 () (tptp.orthogonal_through_point @t33 @t44)) % 0.38/0.60 (define @t46 () (@list @t44 @t33)) % 0.38/0.60 (define @t47 () (tptp.apart_point_and_line @t44 @t32)) % 0.38/0.60 (define @t48 () (tptp.apart_point_and_line @t44 @t33)) % 0.38/0.60 (define @t49 () (or @t48 @t47 @t39 @t37)) % 0.38/0.60 (define @t50 () (tptp.distinct_lines @t33 @t32)) % 0.38/0.60 (define @t51 () (forall (@list @t44 @t33 @t32 @t36) (=> @t50 @t49))) % 0.38/0.60 (define @t52 () (forall @t46 (not (tptp.convergent_lines @t33 (tptp.orthogonal_through_point @t45 @t44))))) % 0.38/0.60 (define @t53 () (not @t52)) % 0.38/0.60 (define @t54 () (@quantifiers_skolemize @t52 1)) % 0.38/0.60 (define @t55 () (@quantifiers_skolemize @t52 0)) % 0.38/0.60 (define @t56 () (@list @t55 @t54)) % 0.38/0.60 (define @t57 () (tptp.orthogonal_through_point @t54 @t55)) % 0.38/0.60 (define @t58 () (tptp.unorthogonal_lines @t57 @t54)) % 0.38/0.60 (define @t59 () (tptp.convergent_lines @t57 @t54)) % 0.38/0.60 (define @t60 () (and @t59 @t58)) % 0.38/0.60 (define @t61 () (not @t60)) % 0.38/0.60 (define @t62 () (@list true)) % 0.38/0.60 (define @t63 () (not @t34)) % 0.38/0.60 (define @t64 () (not @t35)) % 0.38/0.60 (define @t65 () (tptp.convergent_lines @t54 @t54)) % 0.38/0.60 (define @t66 () (and @t65 (tptp.unorthogonal_lines @t54 @t54))) % 0.38/0.60 (define @t67 () (not @t66)) % 0.38/0.60 (define @t68 () (not @t16)) % 0.38/0.60 (define @t69 () (@list @t55 @t57)) % 0.38/0.60 (define @t70 () (not @t50)) % 0.38/0.60 (define @t71 () (tptp.orthogonal_through_point @t57 @t55)) % 0.38/0.60 (define @t72 () (tptp.unorthogonal_lines @t57 @t57)) % 0.38/0.60 (define @t73 () (tptp.unorthogonal_lines @t71 @t57)) % 0.38/0.60 (define @t74 () (tptp.apart_point_and_line @t55 @t57)) % 0.38/0.60 (define @t75 () (tptp.apart_point_and_line @t55 @t71)) % 0.38/0.60 (define @t76 () (tptp.distinct_lines @t71 @t57)) % 0.38/0.60 (define @t77 () (not @t76)) % 0.38/0.60 (define @t78 () (or @t77 @t75 @t74 @t73 @t72)) % 0.38/0.60 (define @t79 () (@list @t71 @t57)) % 0.38/0.60 (define @t80 () (tptp.convergent_lines @t71 @t57)) % 0.38/0.60 (define @t81 () (or @t80 @t73)) % 0.38/0.60 (define @t82 () (@list true false)) % 0.38/0.60 (define @t83 () (tptp.intersection_point @t71 @t57)) % 0.38/0.60 (define @t84 () (tptp.apart_point_and_line @t83 @t57)) % 0.38/0.60 (define @t85 () (not @t84)) % 0.38/0.60 (define @t86 () (not @t80)) % 0.38/0.60 (define @t87 () (or @t86 @t85)) % 0.38/0.60 (define @t88 () (@list false false)) % 0.38/0.60 (define @t89 () (tptp.distinct_lines @t57 @t57)) % 0.38/0.60 (define @t90 () (not @t89)) % 0.38/0.60 (define @t91 () (or @t90 @t84 @t84 @t72 @t72)) % 0.38/0.60 (define @t92 () (tptp.convergent_lines @t71 @t71)) % 0.38/0.60 (define @t93 () (tptp.distinct_lines @t57 @t71)) % 0.38/0.60 (define @t94 () (or @t86 @t93 @t92)) % 0.38/0.60 (define @t95 () (not @t11)) % 0.38/0.60 (define @t96 () (not @t93)) % 0.38/0.60 (define @t97 () (or @t96 @t89 @t76)) % 0.38/0.60 (define @t98 () (not @t72)) % 0.38/0.60 (define @t99 () (tptp.convergent_lines @t57 @t57)) % 0.38/0.60 (define @t100 () (not @t99)) % 0.38/0.60 (define @t101 () (or @t100 @t98 @t60 @t60)) % 0.38/0.60 (define @t102 () (@list false true false)) % 0.38/0.60 (define @t103 () (or @t59 @t58)) % 0.38/0.60 (define @t104 () (tptp.convergent_lines @t54 @t57)) % 0.38/0.60 (define @t105 () (not @t59)) % 0.38/0.60 (define @t106 () (or @t105 @t99 @t104)) % 0.38/0.60 (define @t107 () (tptp.intersection_point @t54 @t71)) % 0.38/0.60 (define @t108 () (tptp.convergent_lines @t54 @t71)) % 0.38/0.60 (define @t109 () (not @t108)) % 0.38/0.60 (define @t110 () (not @t109)) % 0.38/0.60 (define @t111 () (tptp.distinct_lines @t71 @t54)) % 0.38/0.60 (define @t112 () (or @t109 @t111 @t65)) % 0.38/0.60 (define @t113 () (@list @t54 @t71)) % 0.38/0.60 (define @t114 () (tptp.apart_point_and_line @t107 @t71)) % 0.38/0.60 (define @t115 () (not @t114)) % 0.38/0.60 (define @t116 () (or @t109 @t115)) % 0.38/0.60 (define @t117 () (tptp.apart_point_and_line @t107 @t54)) % 0.38/0.60 (define @t118 () (not @t117)) % 0.38/0.60 (define @t119 () (or @t109 @t118)) % 0.38/0.60 (define @t120 () (tptp.unorthogonal_lines @t54 @t57)) % 0.38/0.60 (define @t121 () (not @t111)) % 0.38/0.60 (define @t122 () (or @t121 @t114 @t117 @t73 @t120)) % 0.38/0.60 (define @t123 () (not @t120)) % 0.38/0.60 (define @t124 () (not @t104)) % 0.38/0.60 (define @t125 () (or @t124 @t123 @t66 @t60)) % 0.38/0.60 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.60 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.60 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.60 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.60 (assume @p5 @t12) % 0.38/0.60 (assume @p6 @t17) % 0.38/0.60 (assume @p7 (forall @t19 (=> @t6 (not (tptp.apart_point_and_line @t1 @t18))))) % 0.38/0.60 (assume @p8 (forall @t19 (=> @t6 (not (tptp.apart_point_and_line @t4 @t18))))) % 0.38/0.60 (assume @p9 @t22) % 0.38/0.60 (assume @p10 @t24) % 0.38/0.60 (assume @p11 (forall (@list @t1 @t4 @t26 @t25) (=> (and @t6 (tptp.distinct_lines @t26 @t25)) (or (tptp.apart_point_and_line @t1 @t26) (tptp.apart_point_and_line @t1 @t25) (tptp.apart_point_and_line @t4 @t26) (tptp.apart_point_and_line @t4 @t25))))) % 0.38/0.60 (assume @p12 (forall @t7 (=> @t27 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.38/0.60 (assume @p13 (forall @t7 (=> @t27 (or @t8 @t28)))) % 0.38/0.60 (assume @p14 @t30) % 0.38/0.60 (assume @p15 (forall @t19 (not (tptp.convergent_lines @t31 @t4)))) % 0.38/0.60 (assume @p16 (forall @t19 (not (tptp.apart_point_and_line @t1 @t31)))) % 0.38/0.60 (assume @p17 (forall @t7 (=> @t8 (or @t27 @t28 @t13)))) % 0.38/0.60 (assume @p18 (forall (@list @t33 @t32) (or @t35 @t34))) % 0.38/0.60 (assume @p19 @t43) % 0.38/0.60 (assume @p20 (forall @t46 (not (tptp.unorthogonal_lines @t45 @t33)))) % 0.38/0.60 (assume @p21 (forall @t46 (not (tptp.apart_point_and_line @t44 @t45)))) % 0.38/0.60 (assume @p22 @t51) % 0.38/0.60 (assume @p23 @t53) % 0.38/0.60 (assume @p24 true) % 0.38/0.60 (step @p25 :rule instantiate :premises (@p20) :args (@t56)) % 0.38/0.60 (step @p26 :rule cnf_and_pos :args (@t60 1)) % 0.38/0.60 (step @p27 :rule reordering :premises (@p26) :args ((or @t58 @t61))) % 0.38/0.60 (step @p28 :rule chain_m_resolution :premises (@p27 @p25) :args (@t61 @t62 (@list @t58))) % 0.38/0.60 (step @p29 :rule aci_norm :args ((= (or (or @t64 @t63) @t41) (or @t64 @t63 @t40 @t38)))) % 0.38/0.60 (step @p30 :rule refl :args (@t41)) % 0.38/0.60 (step @p31 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.38/0.60 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t42) @t41))) % 0.38/0.60 (step @p33 :rule trans :premises (@p32 @p29)) % 0.38/0.60 (step @p34 :rule bool-impl-elim :args (@t42 @t41)) % 0.38/0.60 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.60 (step @p36 :rule cong :premises (@p35) :args (@t43)) % 0.38/0.60 (step @p37 :rule eq_resolve :premises (@p19 @p36)) % 0.38/0.60 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t54 @t57 @t54))) % 0.38/0.60 (step @p39 :rule instantiate :premises (@p3) :args ((@list @t54))) % 0.38/0.60 (step @p40 :rule cnf_and_pos :args (@t66 0)) % 0.38/0.60 (step @p41 :rule reordering :premises (@p40) :args ((or @t65 @t67))) % 0.38/0.60 (step @p42 :rule chain_m_resolution :premises (@p41 @p39) :args (@t67 @t62 (@list @t65))) % 0.38/0.60 (step @p43 :rule aci_norm :args ((= (or @t68 @t15) (or @t68 @t14 @t13)))) % 0.38/0.60 (step @p44 :rule bool-impl-elim :args (@t16 @t15)) % 0.38/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.60 (step @p46 :rule cong :premises (@p45) :args (@t17)) % 0.38/0.60 (step @p47 :rule eq_resolve :premises (@p6 @p46)) % 0.38/0.60 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t57 @t54 @t57))) % 0.38/0.60 (step @p49 :rule instantiate :premises (@p37) :args ((@list @t57 @t57 @t54))) % 0.38/0.60 (step @p50 :rule instantiate :premises (@p20) :args (@t69)) % 0.38/0.60 (step @p51 :rule instantiate :premises (@p21) :args (@t56)) % 0.38/0.60 (step @p52 :rule instantiate :premises (@p21) :args (@t69)) % 0.38/0.60 (step @p53 :rule aci_norm :args ((= (or @t70 @t49) (or @t70 @t48 @t47 @t39 @t37)))) % 0.38/0.60 (step @p54 :rule bool-impl-elim :args (@t50 @t49)) % 0.38/0.60 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.60 (step @p56 :rule cong :premises (@p55) :args (@t51)) % 0.38/0.60 (step @p57 :rule eq_resolve :premises (@p22 @p56)) % 0.38/0.60 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t55 @t71 @t57 @t57))) % 0.38/0.60 (step @p59 :rule cnf_or_pos :args (@t78)) % 0.38/0.60 (step @p60 :rule reordering :premises (@p59) :args ((or @t73 @t74 @t75 @t72 @t77 (not @t78)))) % 0.38/0.60 (step @p61 :rule bool-impl-elim :args (@t16 @t23)) % 0.38/0.60 (step @p62 :rule cong :premises (@p61) :args (@t24)) % 0.38/0.60 (step @p63 :rule eq_resolve :premises (@p10 @p62)) % 0.38/0.60 (step @p64 :rule instantiate :premises (@p63) :args (@t79)) % 0.38/0.60 (step @p65 :rule instantiate :premises (@p18) :args (@t79)) % 0.38/0.60 (step @p66 :rule cnf_or_pos :args (@t81)) % 0.38/0.60 (step @p67 :rule reordering :premises (@p66) :args ((or @t73 @t80 (not @t81)))) % 0.38/0.60 (step @p68 :rule chain_m_resolution :premises (@p67 @p50 @p65) :args (@t80 @t82 (@list @t73 @t81))) % 0.38/0.60 (step @p69 :rule cnf_or_pos :args (@t87)) % 0.38/0.60 (step @p70 :rule reordering :premises (@p69) :args ((or @t86 @t85 (not @t87)))) % 0.38/0.60 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p64) :args (@t85 @t88 (@list @t80 @t87))) % 0.38/0.60 (step @p72 :rule instantiate :premises (@p57) :args ((@list @t83 @t57 @t57 @t57))) % 0.38/0.60 (step @p73 :rule cnf_or_pos :args (@t91)) % 0.38/0.60 (step @p74 :rule factoring :premises (@p73)) % 0.38/0.60 (step @p75 :rule reordering :premises (@p74) :args ((or @t84 @t72 @t90 (not @t91)))) % 0.38/0.60 (step @p76 :rule aci_norm :args ((= (or @t68 @t29) (or @t68 @t8 @t14)))) % 0.38/0.60 (step @p77 :rule bool-impl-elim :args (@t16 @t29)) % 0.38/0.60 (step @p78 :rule trans :premises (@p77 @p76)) % 0.38/0.60 (step @p79 :rule cong :premises (@p78) :args (@t30)) % 0.38/0.60 (step @p80 :rule eq_resolve :premises (@p14 @p79)) % 0.38/0.60 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t71 @t57 @t71))) % 0.38/0.60 (step @p82 :rule instantiate :premises (@p3) :args ((@list @t71))) % 0.38/0.60 (step @p83 :rule cnf_or_pos :args (@t94)) % 0.38/0.60 (step @p84 :rule reordering :premises (@p83) :args ((or @t92 @t86 @t93 (not @t94)))) % 0.38/0.60 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p68 @p81) :args (@t93 (@list true false false) (@list @t92 @t80 @t94))) % 0.38/0.60 (step @p86 :rule aci_norm :args ((= (or @t95 @t10) (or @t95 @t9 @t8)))) % 0.38/0.60 (step @p87 :rule bool-impl-elim :args (@t11 @t10)) % 0.38/0.60 (step @p88 :rule trans :premises (@p87 @p86)) % 0.38/0.60 (step @p89 :rule cong :premises (@p88) :args (@t12)) % 0.38/0.60 (step @p90 :rule eq_resolve :premises (@p5 @p89)) % 0.38/0.60 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t57 @t71 @t57))) % 0.38/0.60 (step @p92 :rule cnf_or_pos :args (@t97)) % 0.38/0.60 (step @p93 :rule reordering :premises (@p92) :args ((or @t96 @t76 @t89 (not @t97)))) % 0.38/0.60 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p85 @p75 @p72 @p71 @p60 @p58 @p52 @p51 @p50) :args (@t72 (@list false false true false true true false true true true) (@list @t97 @t93 @t89 @t91 @t84 @t76 @t78 @t75 @t74 @t73))) % 0.38/0.60 (step @p95 :rule cnf_or_pos :args (@t101)) % 0.38/0.61 (step @p96 :rule factoring :premises (@p95)) % 0.38/0.61 (step @p97 :rule reordering :premises (@p96) :args ((or @t100 @t98 @t60 (not @t101)))) % 0.38/0.61 (step @p98 :rule chain_m_resolution :premises (@p97 @p94 @p28 @p49) :args (@t100 @t102 (@list @t72 @t60 @t101))) % 0.38/0.61 (step @p99 :rule instantiate :premises (@p18) :args ((@list @t57 @t54))) % 0.38/0.61 (step @p100 :rule cnf_or_pos :args (@t103)) % 0.38/0.61 (step @p101 :rule reordering :premises (@p100) :args ((or @t58 @t59 (not @t103)))) % 0.38/0.61 (step @p102 :rule chain_m_resolution :premises (@p101 @p25 @p99) :args (@t59 @t82 (@list @t58 @t103))) % 0.38/0.61 (step @p103 :rule cnf_or_pos :args (@t106)) % 0.38/0.61 (step @p104 :rule reordering :premises (@p103) :args ((or @t105 @t99 @t104 (not @t106)))) % 0.38/0.61 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p98 @p48) :args (@t104 @t102 (@list @t59 @t99 @t106))) % 0.38/0.61 (step @p106 :rule instantiate :premises (@p57) :args ((@list @t107 @t71 @t54 @t57))) % 0.38/0.61 (step @p107 :rule instantiate :premises (@p80) :args ((@list @t54 @t71 @t54))) % 0.38/0.61 (step @p108 :rule refl :args (@t108)) % 0.38/0.61 (step @p109 :rule bool-double-not-elim :args (@t52)) % 0.38/0.61 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t53) @t108))) % 0.38/0.61 (step @p111 :rule bool-double-not-elim :args (@t108)) % 0.38/0.61 (step @p112 :rule refl :args (@t53)) % 0.38/0.61 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t53 @t110))) % 0.38/0.61 (assume-push @p142 @t53) % 0.38/0.61 (step @p115 :rule skolemize :premises (@p23)) % 0.38/0.61 (step-pop @p143 :rule scope :premises (@p115)) % 0.38/0.61 (step @p116 :rule process_scope :premises (@p143) :args (@t110)) % 0.38/0.61 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 0.38/0.61 (step @p119 :rule implies_elim :premises (@p118)) % 0.38/0.61 (step @p120 :rule eq_resolve :premises (@p119 @p110)) % 0.38/0.61 (step @p121 :rule chain_m_resolution :premises (@p120 @p23) :args (@t108 @t62 (@list @t52))) % 0.38/0.61 (step @p122 :rule cnf_or_pos :args (@t112)) % 0.38/0.61 (step @p123 :rule reordering :premises (@p122) :args ((or @t109 @t65 @t111 (not @t112)))) % 0.38/0.61 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p39 @p107) :args (@t111 @t102 (@list @t108 @t65 @t112))) % 0.38/0.61 (step @p125 :rule instantiate :premises (@p63) :args (@t113)) % 0.38/0.61 (step @p126 :rule cnf_or_pos :args (@t116)) % 0.38/0.61 (step @p127 :rule reordering :premises (@p126) :args ((or @t109 @t115 (not @t116)))) % 0.38/0.61 (step @p128 :rule chain_m_resolution :premises (@p127 @p121 @p125) :args (@t115 @t88 (@list @t108 @t116))) % 0.38/0.61 (step @p129 :rule bool-impl-elim :args (@t16 @t21)) % 0.38/0.61 (step @p130 :rule cong :premises (@p129) :args (@t22)) % 0.38/0.61 (step @p131 :rule eq_resolve :premises (@p9 @p130)) % 0.38/0.61 (step @p132 :rule instantiate :premises (@p131) :args (@t113)) % 0.38/0.61 (step @p133 :rule cnf_or_pos :args (@t119)) % 0.38/0.61 (step @p134 :rule reordering :premises (@p133) :args ((or @t109 @t118 (not @t119)))) % 0.38/0.61 (step @p135 :rule chain_m_resolution :premises (@p134 @p121 @p132) :args (@t118 @t88 (@list @t108 @t119))) % 0.38/0.61 (step @p136 :rule cnf_or_pos :args (@t122)) % 0.38/0.61 (step @p137 :rule reordering :premises (@p136) :args ((or @t117 @t114 @t73 @t120 @t121 (not @t122)))) % 0.38/0.61 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p128 @p50 @p124 @p106) :args (@t120 (@list true true true false false) (@list @t117 @t114 @t73 @t111 @t122))) % 0.38/0.61 (step @p139 :rule cnf_or_pos :args (@t125)) % 0.38/0.61 (step @p140 :rule reordering :premises (@p139) :args ((or @t60 @t124 @t123 @t66 (not @t125)))) % 0.38/0.61 (step @p141 false :rule chain_m_resolution :premises (@p140 @p138 @p105 @p42 @p38 @p28) :args (false (@list false false true false true) (@list @t120 @t104 @t66 @t125 @t60))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------