%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO180+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:16:34 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO180+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Mon Jun 1 18:39:00 EDT 2026 % 0.06/0.24 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (define @t1 () (@var "X" $$unsorted)) % 0.15/0.36 (define @t2 () (@list @t1)) % 0.15/0.36 (define @t3 () (@var "Z" $$unsorted)) % 0.15/0.36 (define @t4 () (@var "Y" $$unsorted)) % 0.15/0.36 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.15/0.36 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.15/0.36 (define @t7 () (@list @t1 @t4 @t3)) % 0.15/0.36 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.15/0.36 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.15/0.36 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.15/0.36 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.15/0.36 (define @t12 () (not (tptp.apart_point_and_line @t1 @t11))) % 0.15/0.36 (define @t13 () (@list @t1 @t4)) % 0.15/0.36 (define @t14 () (forall @t13 (=> @t6 @t12))) % 0.15/0.36 (define @t15 () (not (tptp.apart_point_and_line @t4 @t11))) % 0.15/0.36 (define @t16 () (forall @t13 (=> @t6 @t15))) % 0.15/0.36 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.15/0.36 (define @t18 () (@var "V" $$unsorted)) % 0.15/0.36 (define @t19 () (tptp.apart_point_and_line @t4 @t18)) % 0.15/0.36 (define @t20 () (@var "U" $$unsorted)) % 0.15/0.36 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.15/0.36 (define @t22 () (tptp.apart_point_and_line @t1 @t18)) % 0.15/0.36 (define @t23 () (tptp.apart_point_and_line @t1 @t20)) % 0.15/0.36 (define @t24 () (or @t23 @t22 @t21 @t19)) % 0.15/0.36 (define @t25 () (tptp.distinct_lines @t20 @t18)) % 0.15/0.36 (define @t26 () (and @t6 @t25)) % 0.15/0.36 (define @t27 () (@list @t1 @t4 @t20 @t18)) % 0.15/0.36 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.15/0.36 (define @t29 () (tptp.apart_point_and_line @t3 @t4)) % 0.15/0.36 (define @t30 () (or @t5 @t29)) % 0.15/0.36 (define @t31 () (tptp.apart_point_and_line @t1 @t4)) % 0.15/0.36 (define @t32 () (forall @t7 (=> @t31 @t30))) % 0.15/0.36 (define @t33 () (tptp.apart_point_and_line @t1 @t3)) % 0.15/0.36 (define @t34 () (or @t8 @t33)) % 0.15/0.36 (define @t35 () (forall @t7 (=> @t31 @t34))) % 0.15/0.36 (define @t36 () (tptp.apart_point_and_line @t1 (tptp.line_connecting @t3 @t4))) % 0.15/0.36 (define @t37 () (tptp.apart_point_and_line @t3 @t11)) % 0.15/0.36 (define @t38 () (=> @t37 @t36)) % 0.15/0.36 (define @t39 () (forall @t7 (=> @t6 @t38))) % 0.15/0.36 (define @t40 () (not @t39)) % 0.15/0.36 (define @t41 () (not @t25)) % 0.15/0.36 (define @t42 () (not @t6)) % 0.15/0.36 (define @t43 () (or @t42 @t41 @t23 @t22 @t21 @t19)) % 0.15/0.36 (define @t44 () (not @t31)) % 0.15/0.36 (define @t45 () (not @t37)) % 0.15/0.36 (define @t46 () (or @t42 @t45 @t36)) % 0.15/0.36 (define @t47 () (forall @t7 @t46)) % 0.15/0.36 (define @t48 () (@quantifiers_skolemize @t47 1)) % 0.15/0.36 (define @t49 () (@quantifiers_skolemize @t47 2)) % 0.15/0.36 (define @t50 () (tptp.line_connecting @t49 @t48)) % 0.15/0.36 (define @t51 () (@quantifiers_skolemize @t47 0)) % 0.15/0.36 (define @t52 () (tptp.line_connecting @t51 @t48)) % 0.15/0.36 (define @t53 () (@list @t49 @t48)) % 0.15/0.36 (define @t54 () (@list @t51 @t48)) % 0.15/0.36 (define @t55 () (tptp.distinct_points @t51 @t48)) % 0.15/0.36 (define @t56 () (tptp.apart_point_and_line @t51 @t50)) % 0.15/0.36 (define @t57 () (tptp.apart_point_and_line @t49 @t52)) % 0.15/0.36 (define @t58 () (not @t57)) % 0.15/0.36 (define @t59 () (not @t55)) % 0.15/0.36 (define @t60 () (or @t59 @t58 @t56)) % 0.15/0.36 (define @t61 () (@list true)) % 0.15/0.36 (define @t62 () (@list @t60)) % 0.15/0.36 (define @t63 () (tptp.apart_point_and_line @t48 @t52)) % 0.15/0.36 (define @t64 () (not @t63)) % 0.15/0.36 (define @t65 () (or @t59 @t64)) % 0.15/0.36 (define @t66 () (@list false false)) % 0.15/0.36 (define @t67 () (tptp.distinct_points @t49 @t48)) % 0.15/0.36 (define @t68 () (or @t58 @t67 @t63)) % 0.15/0.36 (define @t69 () (@list false true false)) % 0.15/0.36 (define @t70 () (tptp.apart_point_and_line @t49 @t50)) % 0.15/0.36 (define @t71 () (not @t70)) % 0.15/0.36 (define @t72 () (not @t67)) % 0.15/0.36 (define @t73 () (or @t72 @t71)) % 0.15/0.36 (define @t74 () (tptp.distinct_lines @t52 @t50)) % 0.15/0.36 (define @t75 () (or @t58 @t74 @t70)) % 0.15/0.36 (define @t76 () (tptp.apart_point_and_line @t48 @t50)) % 0.15/0.36 (define @t77 () (not @t76)) % 0.15/0.36 (define @t78 () (or @t72 @t77)) % 0.15/0.36 (define @t79 () (tptp.apart_point_and_line @t51 @t52)) % 0.15/0.36 (define @t80 () (not @t79)) % 0.15/0.36 (define @t81 () (or @t59 @t80)) % 0.15/0.36 (define @t82 () (not @t74)) % 0.15/0.36 (define @t83 () (or @t59 @t82 @t79 @t56 @t63 @t76)) % 0.15/0.36 (define @t84 () (not @t83)) % 0.15/0.36 (define @t85 () (forall @t27 @t43)) % 0.15/0.36 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.15/0.36 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.15/0.36 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.15/0.36 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.15/0.36 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.15/0.36 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.15/0.36 (assume @p7 @t14) % 0.15/0.36 (assume @p8 @t16) % 0.15/0.36 (assume @p9 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t1))))) % 0.15/0.36 (assume @p10 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t4))))) % 0.15/0.36 (assume @p11 @t28) % 0.15/0.36 (assume @p12 @t32) % 0.15/0.36 (assume @p13 @t35) % 0.15/0.36 (assume @p14 (forall @t7 (=> @t10 (or @t8 @t9)))) % 0.15/0.36 (assume @p15 @t40) % 0.15/0.36 (assume @p16 true) % 0.15/0.36 (step @p17 :rule aci_norm :args ((= (or (or @t42 @t41) @t24) @t43))) % 0.15/0.36 (step @p18 :rule refl :args (@t24)) % 0.15/0.36 (step @p19 :rule bool-and-de-morgan :args (@t6 @t25 true)) % 0.15/0.36 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t26) @t24))) % 0.15/0.36 (step @p21 :rule trans :premises (@p20 @p17)) % 0.15/0.36 (step @p22 :rule bool-impl-elim :args (@t26 @t24)) % 0.15/0.36 (step @p23 :rule trans :premises (@p22 @p21)) % 0.15/0.36 (step @p24 :rule cong :premises (@p23) :args (@t28)) % 0.15/0.36 (step @p25 :rule eq_resolve :premises (@p11 @p24)) % 0.15/0.36 (step @p26 :rule aci_norm :args ((= (or @t44 @t34) (or @t44 @t8 @t33)))) % 0.15/0.36 (step @p27 :rule bool-impl-elim :args (@t31 @t34)) % 0.15/0.36 (step @p28 :rule trans :premises (@p27 @p26)) % 0.15/0.36 (step @p29 :rule cong :premises (@p28) :args (@t35)) % 0.15/0.36 (step @p30 :rule eq_resolve :premises (@p13 @p29)) % 0.15/0.36 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t49 @t52 @t50))) % 0.15/0.36 (step @p32 :rule bool-impl-elim :args (@t6 @t12)) % 0.15/0.36 (step @p33 :rule cong :premises (@p32) :args (@t14)) % 0.15/0.36 (step @p34 :rule eq_resolve :premises (@p7 @p33)) % 0.15/0.36 (step @p35 :rule instantiate :premises (@p34) :args (@t53)) % 0.15/0.36 (step @p36 :rule aci_norm :args ((= (or @t44 @t30) (or @t44 @t5 @t29)))) % 0.15/0.36 (step @p37 :rule bool-impl-elim :args (@t31 @t30)) % 0.15/0.36 (step @p38 :rule trans :premises (@p37 @p36)) % 0.15/0.36 (step @p39 :rule cong :premises (@p38) :args (@t32)) % 0.15/0.36 (step @p40 :rule eq_resolve :premises (@p12 @p39)) % 0.15/0.36 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t49 @t52 @t48))) % 0.15/0.36 (step @p42 :rule bool-impl-elim :args (@t6 @t15)) % 0.15/0.36 (step @p43 :rule cong :premises (@p42) :args (@t16)) % 0.15/0.36 (step @p44 :rule eq_resolve :premises (@p8 @p43)) % 0.15/0.36 (step @p45 :rule instantiate :premises (@p44) :args (@t54)) % 0.15/0.36 (step @p46 :rule aci_norm :args ((= (or @t42 (or @t45 @t36)) @t46))) % 0.15/0.36 (step @p47 :rule bool-impl-elim :args (@t37 @t36)) % 0.15/0.36 (step @p48 :rule refl :args (@t42)) % 0.15/0.36 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t42 @t38))) % 0.15/0.36 (step @p50 :rule trans :premises (@p49 @p46)) % 0.15/0.36 (step @p51 :rule bool-impl-elim :args (@t6 @t38)) % 0.15/0.36 (step @p52 :rule trans :premises (@p51 @p50)) % 0.15/0.36 (step @p53 :rule cong :premises (@p52) :args (@t39)) % 0.15/0.36 (step @p54 :rule cong :premises (@p53) :args (@t40)) % 0.15/0.36 (step @p55 :rule eq_resolve :premises (@p15 @p54)) % 0.15/0.36 (step @p56 :rule skolemize :premises (@p55)) % 0.15/0.36 (step @p57 :rule bool-double-not-elim :args (@t55)) % 0.15/0.36 (step @p58 :rule refl :args (@t60)) % 0.15/0.36 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t60 (not @t59)))) % 0.15/0.36 (step @p60 :rule cnf_or_neg :args (@t60 0)) % 0.15/0.36 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.15/0.36 (step @p62 :rule reordering :premises (@p61) :args ((or @t55 @t60))) % 0.15/0.36 (step @p63 :rule chain_m_resolution :premises (@p62 @p56) :args (@t55 @t61 @t62)) % 0.15/0.36 (step @p64 :rule cnf_or_pos :args (@t65)) % 0.15/0.36 (step @p65 :rule reordering :premises (@p64) :args ((or @t59 @t64 (not @t65)))) % 0.15/0.36 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p45) :args (@t64 @t66 (@list @t55 @t65))) % 0.15/0.36 (step @p67 :rule bool-double-not-elim :args (@t57)) % 0.15/0.36 (step @p68 :rule nary_cong :premises (@p58 @p67) :args ((or @t60 (not @t58)))) % 0.15/0.36 (step @p69 :rule cnf_or_neg :args (@t60 1)) % 0.15/0.36 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.15/0.36 (step @p71 :rule reordering :premises (@p70) :args ((or @t57 @t60))) % 0.15/0.36 (step @p72 :rule chain_m_resolution :premises (@p71 @p56) :args (@t57 @t61 @t62)) % 0.15/0.36 (step @p73 :rule cnf_or_pos :args (@t68)) % 0.15/0.36 (step @p74 :rule reordering :premises (@p73) :args ((or @t58 @t67 @t63 (not @t68)))) % 0.15/0.36 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p66 @p41) :args (@t67 @t69 (@list @t57 @t63 @t68))) % 0.15/0.36 (step @p76 :rule cnf_or_pos :args (@t73)) % 0.15/0.36 (step @p77 :rule reordering :premises (@p76) :args ((or @t72 @t71 (not @t73)))) % 0.15/0.36 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p35) :args (@t71 @t66 (@list @t67 @t73))) % 0.15/0.36 (step @p79 :rule cnf_or_pos :args (@t75)) % 0.15/0.36 (step @p80 :rule reordering :premises (@p79) :args ((or @t58 @t70 @t74 (not @t75)))) % 0.15/0.36 (step @p81 :rule chain_m_resolution :premises (@p80 @p72 @p78 @p31) :args (@t74 @t69 (@list @t57 @t70 @t75))) % 0.15/0.36 (step @p82 :rule instantiate :premises (@p44) :args (@t53)) % 0.15/0.36 (step @p83 :rule cnf_or_pos :args (@t78)) % 0.15/0.36 (step @p84 :rule reordering :premises (@p83) :args ((or @t72 @t77 (not @t78)))) % 0.15/0.36 (step @p85 :rule chain_m_resolution :premises (@p84 @p75 @p82) :args (@t77 @t66 (@list @t67 @t78))) % 0.15/0.36 (step @p86 :rule instantiate :premises (@p34) :args (@t54)) % 0.15/0.36 (step @p87 :rule cnf_or_pos :args (@t81)) % 0.15/0.36 (step @p88 :rule reordering :premises (@p87) :args ((or @t59 @t80 (not @t81)))) % 0.15/0.36 (step @p89 :rule chain_m_resolution :premises (@p88 @p63 @p86) :args (@t80 @t66 (@list @t55 @t81))) % 0.15/0.36 (step @p90 :rule cnf_or_neg :args (@t60 2)) % 0.15/0.36 (step @p91 :rule chain_m_resolution :premises (@p90 @p56) :args ((not @t56) @t61 @t62)) % 0.15/0.36 (step @p92 :rule cnf_or_pos :args (@t83)) % 0.15/0.36 (step @p93 :rule reordering :premises (@p92) :args ((or @t59 @t56 @t79 @t63 @t76 @t82 @t84))) % 0.15/0.36 (step @p94 :rule chain_m_resolution :premises (@p93 @p63 @p91 @p89 @p66 @p85 @p81) :args (@t84 (@list false true true true true false) (@list @t55 @t56 @t79 @t63 @t76 @t74))) % 0.15/0.36 (assume-push @p101 @t85) % 0.15/0.36 (step @p96 :rule instantiate :premises (@p25) :args ((@list @t51 @t48 @t52 @t50))) % 0.15/0.36 (step-pop @p102 :rule scope :premises (@p96)) % 0.15/0.36 (step @p97 :rule process_scope :premises (@p102) :args (@t83)) % 0.15/0.36 (step @p99 :rule implies_elim :premises (@p97)) % 0.15/0.36 (step @p100 false :rule chain_m_resolution :premises (@p99 @p94 @p25) :args (false (@list true false) (@list @t83 @t85))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------