%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO177+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 : 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 08:16:33 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO177+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 % 0.18/0.34 % Computer : n022.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 23:38:38 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t2 () (@list @t1)) % 0.38/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.58 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.58 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.58 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.58 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.58 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.58 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.38/0.58 (define @t12 () (not (tptp.apart_point_and_line @t1 @t11))) % 0.38/0.58 (define @t13 () (@list @t1 @t4)) % 0.38/0.58 (define @t14 () (forall @t13 (=> @t6 @t12))) % 0.38/0.58 (define @t15 () (not (tptp.apart_point_and_line @t4 @t11))) % 0.38/0.58 (define @t16 () (forall @t13 (=> @t6 @t15))) % 0.38/0.58 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.38/0.58 (define @t18 () (@var "V" $$unsorted)) % 0.38/0.58 (define @t19 () (tptp.apart_point_and_line @t4 @t18)) % 0.38/0.58 (define @t20 () (@var "U" $$unsorted)) % 0.38/0.58 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.38/0.58 (define @t22 () (tptp.apart_point_and_line @t1 @t18)) % 0.38/0.58 (define @t23 () (tptp.apart_point_and_line @t1 @t20)) % 0.38/0.58 (define @t24 () (or @t23 @t22 @t21 @t19)) % 0.38/0.58 (define @t25 () (tptp.distinct_lines @t20 @t18)) % 0.38/0.58 (define @t26 () (and @t6 @t25)) % 0.38/0.58 (define @t27 () (@list @t1 @t4 @t20 @t18)) % 0.38/0.58 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.38/0.58 (define @t29 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.58 (define @t30 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.58 (define @t31 () (or @t8 @t30)) % 0.38/0.58 (define @t32 () (forall @t7 (=> @t29 @t31))) % 0.38/0.58 (define @t33 () (tptp.apart_point_and_line @t18 @t11)) % 0.38/0.58 (define @t34 () (tptp.apart_point_and_line @t20 @t11)) % 0.38/0.58 (define @t35 () (or @t34 @t33)) % 0.38/0.58 (define @t36 () (tptp.line_connecting @t20 @t18)) % 0.38/0.58 (define @t37 () (tptp.apart_point_and_line @t4 @t36)) % 0.38/0.58 (define @t38 () (tptp.apart_point_and_line @t1 @t36)) % 0.38/0.58 (define @t39 () (or @t38 @t37)) % 0.38/0.58 (define @t40 () (=> @t39 @t35)) % 0.38/0.58 (define @t41 () (tptp.distinct_points @t20 @t18)) % 0.38/0.58 (define @t42 () (and @t6 @t41)) % 0.38/0.58 (define @t43 () (forall @t27 (=> @t42 @t40))) % 0.38/0.58 (define @t44 () (not @t43)) % 0.38/0.58 (define @t45 () (and (not @t38) (not @t37))) % 0.38/0.58 (define @t46 () (not @t41)) % 0.38/0.58 (define @t47 () (not @t6)) % 0.38/0.58 (define @t48 () (or @t47 @t46 @t45 @t34 @t33)) % 0.38/0.58 (define @t49 () (or @t45 @t34 @t33)) % 0.38/0.58 (define @t50 () (forall @t27 @t48)) % 0.38/0.58 (define @t51 () (@quantifiers_skolemize @t50 1)) % 0.38/0.58 (define @t52 () (@quantifiers_skolemize @t50 0)) % 0.38/0.58 (define @t53 () (tptp.line_connecting @t52 @t51)) % 0.38/0.58 (define @t54 () (@quantifiers_skolemize @t50 3)) % 0.38/0.58 (define @t55 () (tptp.apart_point_and_line @t54 @t53)) % 0.38/0.58 (define @t56 () (@quantifiers_skolemize @t50 2)) % 0.38/0.58 (define @t57 () (tptp.apart_point_and_line @t56 @t53)) % 0.38/0.58 (define @t58 () (tptp.line_connecting @t56 @t54)) % 0.38/0.58 (define @t59 () (tptp.apart_point_and_line @t51 @t58)) % 0.38/0.58 (define @t60 () (not @t59)) % 0.38/0.58 (define @t61 () (tptp.apart_point_and_line @t52 @t58)) % 0.38/0.58 (define @t62 () (not @t61)) % 0.38/0.58 (define @t63 () (and @t62 @t60)) % 0.38/0.58 (define @t64 () (tptp.distinct_points @t56 @t54)) % 0.38/0.58 (define @t65 () (not @t64)) % 0.38/0.58 (define @t66 () (tptp.distinct_points @t52 @t51)) % 0.38/0.58 (define @t67 () (not @t66)) % 0.38/0.58 (define @t68 () (or @t67 @t65 @t63 @t57 @t55)) % 0.38/0.58 (define @t69 () (@list true)) % 0.38/0.58 (define @t70 () (@list @t68)) % 0.38/0.58 (define @t71 () (not @t29)) % 0.38/0.58 (define @t72 () (not @t25)) % 0.38/0.58 (define @t73 () (@list @t56 @t54)) % 0.38/0.58 (define @t74 () (tptp.apart_point_and_line @t54 @t58)) % 0.38/0.58 (define @t75 () (not @t74)) % 0.38/0.58 (define @t76 () (or @t65 @t75)) % 0.38/0.58 (define @t77 () (@list false false)) % 0.38/0.58 (define @t78 () (tptp.apart_point_and_line @t56 @t58)) % 0.38/0.58 (define @t79 () (not @t78)) % 0.38/0.58 (define @t80 () (or @t65 @t79)) % 0.38/0.58 (define @t81 () (tptp.distinct_lines @t58 @t53)) % 0.38/0.58 (define @t82 () (not @t81)) % 0.38/0.58 (define @t83 () (or @t65 @t82 @t78 @t57 @t74 @t55)) % 0.38/0.58 (define @t84 () (@list @t52 @t51)) % 0.38/0.58 (define @t85 () (tptp.apart_point_and_line @t52 @t53)) % 0.38/0.58 (define @t86 () (not @t85)) % 0.38/0.58 (define @t87 () (or @t67 @t86)) % 0.38/0.58 (define @t88 () (or @t62 @t81 @t85)) % 0.38/0.58 (define @t89 () (@list true true false)) % 0.38/0.58 (define @t90 () (tptp.apart_point_and_line @t51 @t53)) % 0.38/0.58 (define @t91 () (not @t90)) % 0.38/0.58 (define @t92 () (or @t67 @t91)) % 0.38/0.58 (define @t93 () (or @t60 @t81 @t90)) % 0.38/0.58 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.58 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.58 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.58 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.58 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.58 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.38/0.58 (assume @p7 @t14) % 0.38/0.58 (assume @p8 @t16) % 0.38/0.58 (assume @p9 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t1))))) % 0.38/0.58 (assume @p10 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t4))))) % 0.38/0.58 (assume @p11 @t28) % 0.38/0.58 (assume @p12 (forall @t7 (=> @t29 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.38/0.58 (assume @p13 @t32) % 0.38/0.58 (assume @p14 (forall @t7 (=> @t10 (or @t8 @t9)))) % 0.38/0.58 (assume @p15 @t44) % 0.38/0.58 (assume @p16 true) % 0.38/0.58 (step @p17 :rule aci_norm :args ((= (or (or @t47 @t46) @t49) @t48))) % 0.38/0.58 (step @p18 :rule aci_norm :args ((= (or @t45 @t35) @t49))) % 0.38/0.58 (step @p19 :rule refl :args (@t35)) % 0.38/0.58 (step @p20 :rule bool-or-de-morgan :args (@t38 @t37 false)) % 0.38/0.58 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t39) @t35))) % 0.38/0.58 (step @p22 :rule trans :premises (@p21 @p18)) % 0.38/0.58 (step @p23 :rule bool-impl-elim :args (@t39 @t35)) % 0.38/0.58 (step @p24 :rule trans :premises (@p23 @p22)) % 0.38/0.58 (step @p25 :rule bool-and-de-morgan :args (@t6 @t41 true)) % 0.38/0.58 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t42) @t40))) % 0.38/0.58 (step @p27 :rule trans :premises (@p26 @p17)) % 0.38/0.58 (step @p28 :rule bool-impl-elim :args (@t42 @t40)) % 0.38/0.58 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29) :args (@t43)) % 0.38/0.58 (step @p31 :rule cong :premises (@p30) :args (@t44)) % 0.38/0.58 (step @p32 :rule eq_resolve :premises (@p15 @p31)) % 0.38/0.58 (step @p33 :rule skolemize :premises (@p32)) % 0.38/0.58 (step @p34 :rule cnf_or_neg :args (@t68 2)) % 0.38/0.58 (step @p35 :rule chain_m_resolution :premises (@p34 @p33) :args ((not @t63) @t69 @t70)) % 0.38/0.58 (step @p36 :rule aci_norm :args ((= (or @t71 @t31) (or @t71 @t8 @t30)))) % 0.38/0.58 (step @p37 :rule bool-impl-elim :args (@t29 @t31)) % 0.38/0.58 (step @p38 :rule trans :premises (@p37 @p36)) % 0.38/0.58 (step @p39 :rule cong :premises (@p38) :args (@t32)) % 0.38/0.58 (step @p40 :rule eq_resolve :premises (@p13 @p39)) % 0.38/0.58 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t52 @t58 @t53))) % 0.38/0.58 (step @p42 :rule aci_norm :args ((= (or (or @t47 @t72) @t24) (or @t47 @t72 @t23 @t22 @t21 @t19)))) % 0.38/0.58 (step @p43 :rule refl :args (@t24)) % 0.38/0.58 (step @p44 :rule bool-and-de-morgan :args (@t6 @t25 true)) % 0.38/0.58 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t26) @t24))) % 0.38/0.58 (step @p46 :rule trans :premises (@p45 @p42)) % 0.38/0.58 (step @p47 :rule bool-impl-elim :args (@t26 @t24)) % 0.38/0.58 (step @p48 :rule trans :premises (@p47 @p46)) % 0.38/0.58 (step @p49 :rule cong :premises (@p48) :args (@t28)) % 0.38/0.58 (step @p50 :rule eq_resolve :premises (@p11 @p49)) % 0.38/0.58 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t56 @t54 @t58 @t53))) % 0.38/0.58 (step @p52 :rule bool-impl-elim :args (@t6 @t15)) % 0.38/0.58 (step @p53 :rule cong :premises (@p52) :args (@t16)) % 0.38/0.58 (step @p54 :rule eq_resolve :premises (@p8 @p53)) % 0.38/0.58 (step @p55 :rule instantiate :premises (@p54) :args (@t73)) % 0.38/0.58 (step @p56 :rule bool-double-not-elim :args (@t64)) % 0.38/0.58 (step @p57 :rule refl :args (@t68)) % 0.38/0.58 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t68 (not @t65)))) % 0.38/0.58 (step @p59 :rule cnf_or_neg :args (@t68 1)) % 0.38/0.58 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.38/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or @t64 @t68))) % 0.38/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p33) :args (@t64 @t69 @t70)) % 0.38/0.58 (step @p63 :rule cnf_or_pos :args (@t76)) % 0.38/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t65 @t75 (not @t76)))) % 0.38/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p55) :args (@t75 @t77 (@list @t64 @t76))) % 0.38/0.58 (step @p66 :rule bool-impl-elim :args (@t6 @t12)) % 0.38/0.58 (step @p67 :rule cong :premises (@p66) :args (@t14)) % 0.38/0.58 (step @p68 :rule eq_resolve :premises (@p7 @p67)) % 0.38/0.58 (step @p69 :rule instantiate :premises (@p68) :args (@t73)) % 0.38/0.58 (step @p70 :rule cnf_or_pos :args (@t80)) % 0.38/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t65 @t79 (not @t80)))) % 0.38/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p62 @p69) :args (@t79 @t77 (@list @t64 @t80))) % 0.38/0.58 (step @p73 :rule cnf_or_neg :args (@t68 4)) % 0.38/0.58 (step @p74 :rule chain_m_resolution :premises (@p73 @p33) :args ((not @t55) @t69 @t70)) % 0.38/0.58 (step @p75 :rule cnf_or_neg :args (@t68 3)) % 0.38/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p33) :args ((not @t57) @t69 @t70)) % 0.38/0.58 (step @p77 :rule cnf_or_pos :args (@t83)) % 0.38/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t65 @t57 @t55 @t78 @t74 @t82 (not @t83)))) % 0.38/0.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p62 @p76 @p74 @p72 @p65 @p51) :args (@t82 (@list false true true true true false) (@list @t64 @t57 @t55 @t78 @t74 @t83))) % 0.38/0.58 (step @p80 :rule instantiate :premises (@p68) :args (@t84)) % 0.38/0.58 (step @p81 :rule bool-double-not-elim :args (@t66)) % 0.38/0.58 (step @p82 :rule nary_cong :premises (@p57 @p81) :args ((or @t68 (not @t67)))) % 0.38/0.58 (step @p83 :rule cnf_or_neg :args (@t68 0)) % 0.38/0.58 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.38/0.58 (step @p85 :rule reordering :premises (@p84) :args ((or @t66 @t68))) % 0.38/0.58 (step @p86 :rule chain_m_resolution :premises (@p85 @p33) :args (@t66 @t69 @t70)) % 0.38/0.58 (step @p87 :rule cnf_or_pos :args (@t87)) % 0.38/0.58 (step @p88 :rule reordering :premises (@p87) :args ((or @t67 @t86 (not @t87)))) % 0.38/0.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p80) :args (@t86 @t77 (@list @t66 @t87))) % 0.38/0.58 (step @p90 :rule cnf_or_pos :args (@t88)) % 0.38/0.58 (step @p91 :rule reordering :premises (@p90) :args ((or @t62 @t85 @t81 (not @t88)))) % 0.38/0.58 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p79 @p41) :args (@t62 @t89 (@list @t85 @t81 @t88))) % 0.38/0.58 (step @p93 :rule instantiate :premises (@p40) :args ((@list @t51 @t58 @t53))) % 0.38/0.58 (step @p94 :rule instantiate :premises (@p54) :args (@t84)) % 0.38/0.58 (step @p95 :rule cnf_or_pos :args (@t92)) % 0.38/0.58 (step @p96 :rule reordering :premises (@p95) :args ((or @t67 @t91 (not @t92)))) % 0.38/0.58 (step @p97 :rule chain_m_resolution :premises (@p96 @p86 @p94) :args (@t91 @t77 (@list @t66 @t92))) % 0.38/0.58 (step @p98 :rule cnf_or_pos :args (@t93)) % 0.38/0.58 (step @p99 :rule reordering :premises (@p98) :args ((or @t60 @t90 @t81 (not @t93)))) % 0.38/0.58 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p79 @p93) :args (@t60 @t89 (@list @t90 @t81 @t93))) % 0.38/0.58 (step @p101 :rule bool-double-not-elim :args (@t59)) % 0.38/0.58 (step @p102 :rule bool-double-not-elim :args (@t61)) % 0.38/0.58 (step @p103 :rule refl :args (@t63)) % 0.38/0.58 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args ((or @t63 (not @t62) (not @t60)))) % 0.38/0.58 (step @p105 :rule cnf_and_neg :args (@t63)) % 0.38/0.58 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.38/0.58 (step @p107 :rule reordering :premises (@p106) :args ((or @t61 @t59 @t63))) % 0.38/0.58 (step @p108 false :rule chain_m_resolution :premises (@p107 @p100 @p92 @p35) :args (false (@list true true true) (@list @t59 @t61 @t63))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------