%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO197+2 : 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 : n004.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 08:16:40 AM UTC 2026 % Result : Theorem 0.47s 0.65s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO197+2 : 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 % 0.16/0.34 % Computer : n004.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 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon Jun 1 23:39:52 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.65 % SZS status Theorem % 0.47/0.65 % SZS output start Proof % 0.47/0.65 ( % 0.47/0.65 (declare-sort $$unsorted 0) % 0.47/0.65 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (define @t1 () (@var "X" $$unsorted)) % 0.47/0.65 (define @t2 () (@list @t1)) % 0.47/0.65 (define @t3 () (@var "Z" $$unsorted)) % 0.47/0.65 (define @t4 () (@var "Y" $$unsorted)) % 0.47/0.65 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.47/0.65 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.47/0.65 (define @t7 () (or @t6 @t5)) % 0.47/0.65 (define @t8 () (tptp.distinct_points @t1 @t4)) % 0.47/0.65 (define @t9 () (@list @t1 @t4 @t3)) % 0.47/0.65 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.47/0.65 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 0.47/0.65 (define @t12 () (tptp.distinct_lines @t1 @t3)) % 0.47/0.65 (define @t13 () (or @t12 @t11)) % 0.47/0.65 (define @t14 () (tptp.distinct_lines @t1 @t4)) % 0.47/0.65 (define @t15 () (forall @t9 (=> @t14 @t13))) % 0.47/0.65 (define @t16 () (tptp.convergent_lines @t1 @t3)) % 0.47/0.65 (define @t17 () (tptp.convergent_lines @t1 @t4)) % 0.47/0.65 (define @t18 () (tptp.intersection_point @t1 @t4)) % 0.47/0.65 (define @t19 () (tptp.distinct_points @t3 @t18)) % 0.47/0.65 (define @t20 () (tptp.apart_point_and_line @t3 @t4)) % 0.47/0.65 (define @t21 () (tptp.apart_point_and_line @t3 @t1)) % 0.47/0.65 (define @t22 () (or @t21 @t20)) % 0.47/0.65 (define @t23 () (=> @t22 @t19)) % 0.47/0.65 (define @t24 () (forall @t9 (=> @t17 @t23))) % 0.47/0.65 (define @t25 () (@var "V" $$unsorted)) % 0.47/0.65 (define @t26 () (tptp.apart_point_and_line @t4 @t25)) % 0.47/0.65 (define @t27 () (@var "U" $$unsorted)) % 0.47/0.65 (define @t28 () (tptp.apart_point_and_line @t4 @t27)) % 0.47/0.65 (define @t29 () (tptp.apart_point_and_line @t1 @t25)) % 0.47/0.65 (define @t30 () (tptp.apart_point_and_line @t1 @t27)) % 0.47/0.65 (define @t31 () (or @t30 @t29 @t28 @t26)) % 0.47/0.65 (define @t32 () (tptp.distinct_lines @t27 @t25)) % 0.47/0.65 (define @t33 () (and @t8 @t32)) % 0.47/0.65 (define @t34 () (forall (@list @t1 @t4 @t27 @t25) (=> @t33 @t31))) % 0.47/0.65 (define @t35 () (tptp.apart_point_and_line @t1 @t4)) % 0.47/0.65 (define @t36 () (forall (@list @t1 @t4) (=> @t17 @t14))) % 0.47/0.65 (define @t37 () (not (tptp.apart_point_and_line (tptp.intersection_point @t3 @t4) @t1))) % 0.47/0.65 (define @t38 () (tptp.apart_point_and_line @t18 @t3)) % 0.47/0.65 (define @t39 () (not @t38)) % 0.47/0.65 (define @t40 () (tptp.convergent_lines @t3 @t4)) % 0.47/0.65 (define @t41 () (and @t17 @t40 @t16 @t39)) % 0.47/0.65 (define @t42 () (forall @t9 (=> @t41 @t37))) % 0.47/0.65 (define @t43 () (not @t42)) % 0.47/0.65 (define @t44 () (not @t14)) % 0.47/0.65 (define @t45 () (or @t44 @t12 @t11)) % 0.47/0.65 (define @t46 () (not @t32)) % 0.47/0.65 (define @t47 () (not @t8)) % 0.47/0.65 (define @t48 () (not @t16)) % 0.47/0.65 (define @t49 () (not @t40)) % 0.47/0.65 (define @t50 () (not @t17)) % 0.47/0.65 (define @t51 () (or @t50 @t49 @t48 @t38 @t37)) % 0.47/0.65 (define @t52 () (forall @t9 @t51)) % 0.47/0.65 (define @t53 () (@quantifiers_skolemize @t52 2)) % 0.47/0.65 (define @t54 () (@quantifiers_skolemize @t52 1)) % 0.47/0.65 (define @t55 () (tptp.intersection_point @t53 @t54)) % 0.47/0.65 (define @t56 () (@quantifiers_skolemize @t52 0)) % 0.47/0.65 (define @t57 () (tptp.intersection_point @t56 @t54)) % 0.47/0.65 (define @t58 () (and (not @t21) (not @t20))) % 0.47/0.65 (define @t59 () (not @t39)) % 0.47/0.65 (define @t60 () (or @t50 @t49 @t48 @t59)) % 0.47/0.65 (define @t61 () (tptp.convergent_lines @t53 @t54)) % 0.47/0.65 (define @t62 () (tptp.apart_point_and_line @t55 @t56)) % 0.47/0.65 (define @t63 () (not @t62)) % 0.47/0.65 (define @t64 () (tptp.apart_point_and_line @t57 @t53)) % 0.47/0.65 (define @t65 () (not @t61)) % 0.47/0.65 (define @t66 () (tptp.convergent_lines @t56 @t54)) % 0.47/0.65 (define @t67 () (not @t66)) % 0.47/0.65 (define @t68 () (or @t67 @t65 (not (tptp.convergent_lines @t56 @t53)) @t64 @t63)) % 0.47/0.65 (define @t69 () (@list true)) % 0.47/0.65 (define @t70 () (@list @t68)) % 0.47/0.65 (define @t71 () (tptp.distinct_points @t55 @t55)) % 0.47/0.65 (define @t72 () (tptp.apart_point_and_line @t55 @t54)) % 0.47/0.65 (define @t73 () (not @t72)) % 0.47/0.65 (define @t74 () (tptp.apart_point_and_line @t55 @t53)) % 0.47/0.65 (define @t75 () (not @t74)) % 0.47/0.65 (define @t76 () (and @t75 @t73)) % 0.47/0.65 (define @t77 () (or @t65 @t76 @t71)) % 0.47/0.65 (define @t78 () (@list false true false)) % 0.47/0.65 (define @t79 () (not @t76)) % 0.47/0.65 (define @t80 () (@list false)) % 0.47/0.65 (define @t81 () (@list @t76)) % 0.47/0.65 (define @t82 () (and @t63 @t73)) % 0.47/0.65 (define @t83 () (not @t82)) % 0.47/0.65 (define @t84 () (tptp.distinct_points @t55 @t57)) % 0.47/0.65 (define @t85 () (or @t67 @t82 @t84)) % 0.47/0.65 (define @t86 () (tptp.distinct_points @t57 @t55)) % 0.47/0.65 (define @t87 () (not @t84)) % 0.47/0.65 (define @t88 () (or @t87 @t71 @t86)) % 0.47/0.65 (define @t89 () (tptp.distinct_points @t57 @t57)) % 0.47/0.65 (define @t90 () (tptp.apart_point_and_line @t57 @t54)) % 0.47/0.65 (define @t91 () (not @t90)) % 0.47/0.65 (define @t92 () (and (not (tptp.apart_point_and_line @t57 @t56)) @t91)) % 0.47/0.65 (define @t93 () (or @t67 @t92 @t89)) % 0.47/0.65 (define @t94 () (tptp.distinct_lines @t54 @t53)) % 0.47/0.65 (define @t95 () (not @t94)) % 0.47/0.65 (define @t96 () (not @t86)) % 0.47/0.65 (define @t97 () (or @t96 @t95 @t90 @t64 @t72 @t74)) % 0.47/0.65 (define @t98 () (tptp.distinct_lines @t53 @t53)) % 0.47/0.65 (define @t99 () (not @t98)) % 0.47/0.65 (define @t100 () (or @t96 @t99 @t64 @t64 @t74 @t74)) % 0.47/0.65 (define @t101 () (tptp.distinct_lines @t53 @t54)) % 0.47/0.65 (define @t102 () (or @t65 @t101)) % 0.47/0.65 (define @t103 () (not @t101)) % 0.47/0.65 (define @t104 () (or @t103 @t98 @t94)) % 0.47/0.65 (define @t105 () (not @t104)) % 0.47/0.65 (define @t106 () (forall @t9 @t45)) % 0.47/0.65 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.47/0.65 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.47/0.65 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.47/0.65 (assume @p4 @t10) % 0.47/0.65 (assume @p5 @t15) % 0.47/0.65 (assume @p6 (forall @t9 (=> @t17 (or @t16 (tptp.convergent_lines @t4 @t3))))) % 0.47/0.65 (assume @p7 (forall @t9 (=> @t8 (=> (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4)) (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4)))))) % 0.47/0.65 (assume @p8 @t24) % 0.47/0.65 (assume @p9 @t34) % 0.47/0.65 (assume @p10 (forall @t9 (=> @t35 (or @t6 @t20)))) % 0.47/0.65 (assume @p11 (forall @t9 (=> @t35 (or @t11 (tptp.apart_point_and_line @t1 @t3))))) % 0.47/0.65 (assume @p12 @t36) % 0.47/0.65 (assume @p13 @t43) % 0.47/0.65 (assume @p14 true) % 0.47/0.65 (step @p15 :rule aci_norm :args ((= (or @t44 @t13) @t45))) % 0.47/0.65 (step @p16 :rule bool-impl-elim :args (@t14 @t13)) % 0.47/0.65 (step @p17 :rule trans :premises (@p16 @p15)) % 0.47/0.65 (step @p18 :rule cong :premises (@p17) :args (@t15)) % 0.47/0.65 (step @p19 :rule eq_resolve :premises (@p5 @p18)) % 0.47/0.65 (step @p20 :rule aci_norm :args ((= (or (or @t47 @t46) @t31) (or @t47 @t46 @t30 @t29 @t28 @t26)))) % 0.47/0.65 (step @p21 :rule refl :args (@t31)) % 0.47/0.65 (step @p22 :rule bool-and-de-morgan :args (@t8 @t32 true)) % 0.47/0.65 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t33) @t31))) % 0.47/0.65 (step @p24 :rule trans :premises (@p23 @p20)) % 0.47/0.65 (step @p25 :rule bool-impl-elim :args (@t33 @t31)) % 0.47/0.65 (step @p26 :rule trans :premises (@p25 @p24)) % 0.47/0.65 (step @p27 :rule cong :premises (@p26) :args (@t34)) % 0.47/0.65 (step @p28 :rule eq_resolve :premises (@p9 @p27)) % 0.47/0.65 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t57 @t55 @t54 @t53))) % 0.47/0.65 (step @p30 :rule aci_norm :args ((= (or @t50 (or @t58 @t19)) (or @t50 @t58 @t19)))) % 0.47/0.65 (step @p31 :rule refl :args (@t19)) % 0.47/0.65 (step @p32 :rule bool-or-de-morgan :args (@t21 @t20 false)) % 0.47/0.65 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t22) @t19))) % 0.47/0.65 (step @p34 :rule bool-impl-elim :args (@t22 @t19)) % 0.47/0.65 (step @p35 :rule trans :premises (@p34 @p33)) % 0.47/0.65 (step @p36 :rule refl :args (@t50)) % 0.47/0.65 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t50 @t23))) % 0.47/0.65 (step @p38 :rule trans :premises (@p37 @p30)) % 0.47/0.65 (step @p39 :rule bool-impl-elim :args (@t17 @t23)) % 0.47/0.65 (step @p40 :rule trans :premises (@p39 @p38)) % 0.47/0.65 (step @p41 :rule cong :premises (@p40) :args (@t24)) % 0.47/0.65 (step @p42 :rule eq_resolve :premises (@p8 @p41)) % 0.47/0.65 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t53 @t54 @t55))) % 0.47/0.65 (step @p44 :rule instantiate :premises (@p1) :args ((@list @t55))) % 0.47/0.65 (step @p45 :rule aci_norm :args ((= (or (or @t50 @t49 @t48 @t38) @t37) @t51))) % 0.47/0.65 (step @p46 :rule refl :args (@t37)) % 0.47/0.65 (step @p47 :rule bool-double-not-elim :args (@t38)) % 0.47/0.65 (step @p48 :rule refl :args (@t48)) % 0.47/0.65 (step @p49 :rule refl :args (@t49)) % 0.47/0.65 (step @p50 :rule nary_cong :premises (@p36 @p49 @p48 @p47) :args (@t60)) % 0.47/0.65 (step @p51 :rule aci_norm :args ((= (or @t50 (or @t49 (or @t48 @t59))) @t60))) % 0.47/0.65 (step @p52 :rule trans :premises (@p51 @p50)) % 0.47/0.65 (step @p53 :rule bool-and-de-morgan :args (@t16 @t39 true)) % 0.47/0.65 (step @p54 :rule nary_cong :premises (@p49 @p53) :args ((or @t49 (not (and @t16 @t39))))) % 0.47/0.65 (step @p55 :rule bool-and-de-morgan :args (@t40 @t16 (and @t39))) % 0.47/0.65 (step @p56 :rule trans :premises (@p55 @p54)) % 0.47/0.65 (step @p57 :rule nary_cong :premises (@p36 @p56) :args ((or @t50 (not (and @t40 @t16 @t39))))) % 0.47/0.65 (step @p58 :rule bool-and-de-morgan :args (@t17 @t40 (and @t16 @t39))) % 0.47/0.65 (step @p59 :rule trans :premises (@p58 @p57)) % 0.47/0.65 (step @p60 :rule trans :premises (@p59 @p52)) % 0.47/0.65 (step @p61 :rule nary_cong :premises (@p60 @p46) :args ((or (not @t41) @t37))) % 0.47/0.65 (step @p62 :rule trans :premises (@p61 @p45)) % 0.47/0.65 (step @p63 :rule bool-impl-elim :args (@t41 @t37)) % 0.47/0.65 (step @p64 :rule trans :premises (@p63 @p62)) % 0.47/0.65 (step @p65 :rule cong :premises (@p64) :args (@t42)) % 0.47/0.65 (step @p66 :rule cong :premises (@p65) :args (@t43)) % 0.47/0.65 (step @p67 :rule eq_resolve :premises (@p13 @p66)) % 0.47/0.65 (step @p68 :rule skolemize :premises (@p67)) % 0.47/0.65 (step @p69 :rule bool-double-not-elim :args (@t61)) % 0.47/0.65 (step @p70 :rule refl :args (@t68)) % 0.47/0.65 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t68 (not @t65)))) % 0.47/0.65 (step @p72 :rule cnf_or_neg :args (@t68 1)) % 0.47/0.65 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.47/0.65 (step @p74 :rule reordering :premises (@p73) :args ((or @t61 @t68))) % 0.47/0.65 (step @p75 :rule chain_m_resolution :premises (@p74 @p68) :args (@t61 @t69 @t70)) % 0.47/0.65 (step @p76 :rule cnf_or_pos :args (@t77)) % 0.47/0.65 (step @p77 :rule reordering :premises (@p76) :args ((or @t65 @t71 @t76 (not @t77)))) % 0.47/0.65 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p44 @p43) :args (@t76 @t78 (@list @t61 @t71 @t77))) % 0.47/0.65 (step @p79 :rule cnf_and_pos :args (@t76 0)) % 0.47/0.65 (step @p80 :rule reordering :premises (@p79) :args ((or @t75 @t79))) % 0.47/0.65 (step @p81 :rule chain_m_resolution :premises (@p80 @p78) :args (@t75 @t80 @t81)) % 0.47/0.65 (step @p82 :rule cnf_and_pos :args (@t76 1)) % 0.47/0.65 (step @p83 :rule reordering :premises (@p82) :args ((or @t73 @t79))) % 0.47/0.65 (step @p84 :rule chain_m_resolution :premises (@p83 @p78) :args (@t73 @t80 @t81)) % 0.47/0.65 (step @p85 :rule aci_norm :args ((= (or @t47 @t7) (or @t47 @t6 @t5)))) % 0.47/0.65 (step @p86 :rule bool-impl-elim :args (@t8 @t7)) % 0.47/0.65 (step @p87 :rule trans :premises (@p86 @p85)) % 0.47/0.65 (step @p88 :rule cong :premises (@p87) :args (@t10)) % 0.47/0.65 (step @p89 :rule eq_resolve :premises (@p4 @p88)) % 0.47/0.65 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t55 @t57 @t55))) % 0.47/0.65 (step @p91 :rule instantiate :premises (@p42) :args ((@list @t56 @t54 @t55))) % 0.47/0.65 (step @p92 :rule bool-double-not-elim :args (@t62)) % 0.47/0.65 (step @p93 :rule nary_cong :premises (@p70 @p92) :args ((or @t68 (not @t63)))) % 0.47/0.65 (step @p94 :rule cnf_or_neg :args (@t68 4)) % 0.47/0.65 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.47/0.65 (step @p96 :rule reordering :premises (@p95) :args ((or @t62 @t68))) % 0.47/0.65 (step @p97 :rule chain_m_resolution :premises (@p96 @p68) :args (@t62 @t69 @t70)) % 0.47/0.65 (step @p98 :rule cnf_and_pos :args (@t82 0)) % 0.47/0.65 (step @p99 :rule reordering :premises (@p98) :args ((or @t63 @t83))) % 0.47/0.65 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t83 @t80 (@list @t62))) % 0.47/0.65 (step @p101 :rule bool-double-not-elim :args (@t66)) % 0.47/0.65 (step @p102 :rule nary_cong :premises (@p70 @p101) :args ((or @t68 (not @t67)))) % 0.47/0.65 (step @p103 :rule cnf_or_neg :args (@t68 0)) % 0.47/0.65 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.47/0.65 (step @p105 :rule reordering :premises (@p104) :args ((or @t66 @t68))) % 0.47/0.65 (step @p106 :rule chain_m_resolution :premises (@p105 @p68) :args (@t66 @t69 @t70)) % 0.47/0.65 (step @p107 :rule cnf_or_pos :args (@t85)) % 0.47/0.65 (step @p108 :rule reordering :premises (@p107) :args ((or @t67 @t84 @t82 (not @t85)))) % 0.47/0.65 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p100 @p91) :args (@t84 @t78 (@list @t66 @t82 @t85))) % 0.47/0.65 (step @p110 :rule cnf_or_pos :args (@t88)) % 0.47/0.65 (step @p111 :rule reordering :premises (@p110) :args ((or @t71 @t86 @t87 (not @t88)))) % 0.47/0.65 (step @p112 :rule chain_m_resolution :premises (@p111 @p44 @p109 @p90) :args (@t86 (@list true false false) (@list @t71 @t84 @t88))) % 0.47/0.65 (step @p113 :rule instantiate :premises (@p42) :args ((@list @t56 @t54 @t57))) % 0.47/0.65 (step @p114 :rule instantiate :premises (@p1) :args ((@list @t57))) % 0.47/0.65 (step @p115 :rule cnf_or_pos :args (@t93)) % 0.47/0.65 (step @p116 :rule reordering :premises (@p115) :args ((or @t67 @t89 @t92 (not @t93)))) % 0.47/0.65 (step @p117 :rule chain_m_resolution :premises (@p116 @p106 @p114 @p113) :args (@t92 @t78 (@list @t66 @t89 @t93))) % 0.47/0.65 (step @p118 :rule cnf_and_pos :args (@t92 1)) % 0.47/0.65 (step @p119 :rule reordering :premises (@p118) :args ((or @t91 (not @t92)))) % 0.47/0.66 (step @p120 :rule chain_m_resolution :premises (@p119 @p117) :args (@t91 @t80 (@list @t92))) % 0.47/0.66 (step @p121 :rule cnf_or_neg :args (@t68 3)) % 0.47/0.66 (step @p122 :rule chain_m_resolution :premises (@p121 @p68) :args ((not @t64) @t69 @t70)) % 0.47/0.66 (step @p123 :rule cnf_or_pos :args (@t97)) % 0.47/0.66 (step @p124 :rule reordering :premises (@p123) :args ((or @t64 @t90 @t96 @t72 @t74 @t95 (not @t97)))) % 0.47/0.66 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p120 @p112 @p84 @p81 @p29) :args (@t95 (@list true true false true true false) (@list @t64 @t90 @t86 @t72 @t74 @t97))) % 0.47/0.66 (step @p126 :rule instantiate :premises (@p28) :args ((@list @t57 @t55 @t53 @t53))) % 0.47/0.66 (step @p127 :rule cnf_or_pos :args (@t100)) % 0.47/0.66 (step @p128 :rule factoring :premises (@p127)) % 0.47/0.66 (step @p129 :rule reordering :premises (@p128) :args ((or @t64 @t96 @t74 @t99 (not @t100)))) % 0.47/0.66 (step @p130 :rule chain_m_resolution :premises (@p129 @p122 @p112 @p81 @p126) :args (@t99 (@list true false true false) (@list @t64 @t86 @t74 @t100))) % 0.47/0.66 (step @p131 :rule bool-impl-elim :args (@t17 @t14)) % 0.47/0.66 (step @p132 :rule cong :premises (@p131) :args (@t36)) % 0.47/0.66 (step @p133 :rule eq_resolve :premises (@p12 @p132)) % 0.47/0.66 (step @p134 :rule instantiate :premises (@p133) :args ((@list @t53 @t54))) % 0.47/0.66 (step @p135 :rule cnf_or_pos :args (@t102)) % 0.47/0.66 (step @p136 :rule reordering :premises (@p135) :args ((or @t65 @t101 (not @t102)))) % 0.47/0.66 (step @p137 :rule chain_m_resolution :premises (@p136 @p75 @p134) :args (@t101 (@list false false) (@list @t61 @t102))) % 0.47/0.66 (step @p138 :rule cnf_or_pos :args (@t104)) % 0.47/0.66 (step @p139 :rule reordering :premises (@p138) :args ((or @t103 @t98 @t94 @t105))) % 0.47/0.66 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p130 @p125) :args (@t105 (@list false true true) (@list @t101 @t98 @t94))) % 0.47/0.66 (assume-push @p147 @t106) % 0.47/0.66 (step @p142 :rule instantiate :premises (@p19) :args ((@list @t53 @t54 @t53))) % 0.47/0.66 (step-pop @p148 :rule scope :premises (@p142)) % 0.47/0.66 (step @p143 :rule process_scope :premises (@p148) :args (@t104)) % 0.47/0.66 (step @p145 :rule implies_elim :premises (@p143)) % 0.47/0.66 (step @p146 false :rule chain_m_resolution :premises (@p145 @p140 @p19) :args (false (@list true false) (@list @t104 @t106))) % 0.47/0.66 ) % 0.47/0.66 % SZS output end Proof % 0.47/0.66 % cvc5 exiting %------------------------------------------------------------------------------