%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO182+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 : n026.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 0.41s 0.57s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO182+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.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 23:39:10 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.57 % SZS status Theorem % 0.41/0.57 % SZS output start Proof % 0.41/0.57 ( % 0.41/0.57 (declare-sort $$unsorted 0) % 0.41/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.41/0.57 (define @t2 () (@list @t1)) % 0.41/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.41/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.41/0.57 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.41/0.57 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.41/0.57 (define @t7 () (or @t6 @t5)) % 0.41/0.57 (define @t8 () (tptp.distinct_points @t1 @t4)) % 0.41/0.57 (define @t9 () (@list @t1 @t4 @t3)) % 0.41/0.57 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.41/0.57 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 0.41/0.57 (define @t12 () (tptp.convergent_lines @t1 @t3)) % 0.41/0.57 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.41/0.57 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.41/0.57 (define @t15 () (not (tptp.apart_point_and_line @t1 @t14))) % 0.41/0.57 (define @t16 () (@list @t1 @t4)) % 0.41/0.57 (define @t17 () (forall @t16 (=> @t8 @t15))) % 0.41/0.57 (define @t18 () (not (tptp.apart_point_and_line @t4 @t14))) % 0.41/0.57 (define @t19 () (forall @t16 (=> @t8 @t18))) % 0.41/0.57 (define @t20 () (tptp.intersection_point @t1 @t4)) % 0.41/0.57 (define @t21 () (@var "V" $$unsorted)) % 0.41/0.57 (define @t22 () (tptp.apart_point_and_line @t4 @t21)) % 0.41/0.57 (define @t23 () (@var "U" $$unsorted)) % 0.41/0.57 (define @t24 () (tptp.apart_point_and_line @t4 @t23)) % 0.41/0.57 (define @t25 () (tptp.apart_point_and_line @t1 @t21)) % 0.41/0.57 (define @t26 () (tptp.apart_point_and_line @t1 @t23)) % 0.41/0.57 (define @t27 () (or @t26 @t25 @t24 @t22)) % 0.41/0.57 (define @t28 () (tptp.distinct_lines @t23 @t21)) % 0.41/0.57 (define @t29 () (and @t8 @t28)) % 0.41/0.57 (define @t30 () (@list @t1 @t4 @t23 @t21)) % 0.41/0.57 (define @t31 () (forall @t30 (=> @t29 @t27))) % 0.41/0.57 (define @t32 () (tptp.apart_point_and_line @t1 @t4)) % 0.41/0.57 (define @t33 () (tptp.apart_point_and_line @t1 @t3)) % 0.41/0.57 (define @t34 () (or @t11 @t33)) % 0.41/0.57 (define @t35 () (forall @t9 (=> @t32 @t34))) % 0.41/0.57 (define @t36 () (tptp.apart_point_and_line @t3 (tptp.line_connecting @t4 @t1))) % 0.41/0.57 (define @t37 () (tptp.apart_point_and_line @t3 @t14)) % 0.41/0.57 (define @t38 () (=> @t37 @t36)) % 0.41/0.57 (define @t39 () (forall @t9 (=> @t8 @t38))) % 0.41/0.57 (define @t40 () (not @t39)) % 0.41/0.57 (define @t41 () (not @t28)) % 0.41/0.57 (define @t42 () (not @t8)) % 0.41/0.57 (define @t43 () (or @t42 @t41 @t26 @t25 @t24 @t22)) % 0.41/0.57 (define @t44 () (not @t32)) % 0.41/0.57 (define @t45 () (not @t37)) % 0.41/0.57 (define @t46 () (or @t42 @t45 @t36)) % 0.41/0.57 (define @t47 () (forall @t9 @t46)) % 0.41/0.57 (define @t48 () (@quantifiers_skolemize @t47 0)) % 0.41/0.57 (define @t49 () (@quantifiers_skolemize @t47 1)) % 0.41/0.57 (define @t50 () (tptp.line_connecting @t49 @t48)) % 0.41/0.57 (define @t51 () (tptp.line_connecting @t48 @t49)) % 0.41/0.57 (define @t52 () (@quantifiers_skolemize @t47 2)) % 0.41/0.57 (define @t53 () (tptp.apart_point_and_line @t52 @t50)) % 0.41/0.57 (define @t54 () (tptp.apart_point_and_line @t52 @t51)) % 0.41/0.57 (define @t55 () (not @t54)) % 0.41/0.57 (define @t56 () (tptp.distinct_points @t48 @t49)) % 0.41/0.57 (define @t57 () (not @t56)) % 0.41/0.57 (define @t58 () (or @t57 @t55 @t53)) % 0.41/0.57 (define @t59 () (@list true)) % 0.41/0.57 (define @t60 () (@list @t58)) % 0.41/0.57 (define @t61 () (tptp.distinct_lines @t51 @t50)) % 0.41/0.57 (define @t62 () (or @t55 @t61 @t53)) % 0.41/0.57 (define @t63 () (@list false true false)) % 0.41/0.57 (define @t64 () (@list @t49 @t48)) % 0.41/0.57 (define @t65 () (tptp.distinct_points @t49 @t48)) % 0.41/0.57 (define @t66 () (tptp.distinct_points @t48 @t48)) % 0.41/0.57 (define @t67 () (or @t57 @t66 @t65)) % 0.41/0.57 (define @t68 () (tptp.apart_point_and_line @t48 @t50)) % 0.41/0.57 (define @t69 () (not @t68)) % 0.41/0.57 (define @t70 () (not @t65)) % 0.41/0.57 (define @t71 () (or @t70 @t69)) % 0.41/0.57 (define @t72 () (@list false false)) % 0.41/0.57 (define @t73 () (@list @t48 @t49)) % 0.41/0.57 (define @t74 () (tptp.apart_point_and_line @t49 @t51)) % 0.41/0.57 (define @t75 () (not @t74)) % 0.41/0.57 (define @t76 () (or @t57 @t75)) % 0.41/0.57 (define @t77 () (tptp.apart_point_and_line @t49 @t50)) % 0.41/0.57 (define @t78 () (not @t77)) % 0.41/0.57 (define @t79 () (or @t70 @t78)) % 0.41/0.57 (define @t80 () (tptp.apart_point_and_line @t48 @t51)) % 0.41/0.57 (define @t81 () (not @t80)) % 0.41/0.57 (define @t82 () (or @t57 @t81)) % 0.41/0.57 (define @t83 () (not @t61)) % 0.41/0.57 (define @t84 () (or @t70 @t83 @t74 @t77 @t80 @t68)) % 0.41/0.57 (define @t85 () (not @t84)) % 0.41/0.57 (define @t86 () (forall @t30 @t43)) % 0.41/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.41/0.57 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.41/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.41/0.57 (assume @p4 @t10) % 0.41/0.57 (assume @p5 (forall @t9 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t11)))) % 0.41/0.57 (assume @p6 (forall @t9 (=> @t13 (or @t12 (tptp.convergent_lines @t4 @t3))))) % 0.41/0.57 (assume @p7 @t17) % 0.41/0.57 (assume @p8 @t19) % 0.41/0.57 (assume @p9 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t20 @t1))))) % 0.41/0.57 (assume @p10 (forall @t16 (=> @t13 (not (tptp.apart_point_and_line @t20 @t4))))) % 0.41/0.57 (assume @p11 @t31) % 0.41/0.57 (assume @p12 (forall @t9 (=> @t32 (or @t6 (tptp.apart_point_and_line @t3 @t4))))) % 0.41/0.57 (assume @p13 @t35) % 0.41/0.57 (assume @p14 (forall @t9 (=> @t13 (or @t11 @t12)))) % 0.41/0.57 (assume @p15 @t40) % 0.41/0.57 (assume @p16 true) % 0.41/0.57 (step @p17 :rule aci_norm :args ((= (or (or @t42 @t41) @t27) @t43))) % 0.41/0.57 (step @p18 :rule refl :args (@t27)) % 0.41/0.57 (step @p19 :rule bool-and-de-morgan :args (@t8 @t28 true)) % 0.41/0.57 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t29) @t27))) % 0.41/0.57 (step @p21 :rule trans :premises (@p20 @p17)) % 0.41/0.57 (step @p22 :rule bool-impl-elim :args (@t29 @t27)) % 0.41/0.57 (step @p23 :rule trans :premises (@p22 @p21)) % 0.41/0.57 (step @p24 :rule cong :premises (@p23) :args (@t31)) % 0.41/0.57 (step @p25 :rule eq_resolve :premises (@p11 @p24)) % 0.41/0.57 (step @p26 :rule aci_norm :args ((= (or @t44 @t34) (or @t44 @t11 @t33)))) % 0.41/0.57 (step @p27 :rule bool-impl-elim :args (@t32 @t34)) % 0.41/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.41/0.57 (step @p29 :rule cong :premises (@p28) :args (@t35)) % 0.41/0.57 (step @p30 :rule eq_resolve :premises (@p13 @p29)) % 0.41/0.57 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t52 @t51 @t50))) % 0.41/0.57 (step @p32 :rule aci_norm :args ((= (or @t42 (or @t45 @t36)) @t46))) % 0.41/0.57 (step @p33 :rule bool-impl-elim :args (@t37 @t36)) % 0.41/0.57 (step @p34 :rule refl :args (@t42)) % 0.41/0.57 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t42 @t38))) % 0.41/0.57 (step @p36 :rule trans :premises (@p35 @p32)) % 0.41/0.57 (step @p37 :rule bool-impl-elim :args (@t8 @t38)) % 0.41/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.41/0.57 (step @p39 :rule cong :premises (@p38) :args (@t39)) % 0.41/0.57 (step @p40 :rule cong :premises (@p39) :args (@t40)) % 0.41/0.57 (step @p41 :rule eq_resolve :premises (@p15 @p40)) % 0.41/0.57 (step @p42 :rule skolemize :premises (@p41)) % 0.41/0.57 (step @p43 :rule cnf_or_neg :args (@t58 2)) % 0.41/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p42) :args ((not @t53) @t59 @t60)) % 0.41/0.57 (step @p45 :rule bool-double-not-elim :args (@t54)) % 0.41/0.57 (step @p46 :rule refl :args (@t58)) % 0.41/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t58 (not @t55)))) % 0.41/0.57 (step @p48 :rule cnf_or_neg :args (@t58 1)) % 0.41/0.57 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.41/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t54 @t58))) % 0.41/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p42) :args (@t54 @t59 @t60)) % 0.41/0.57 (step @p52 :rule cnf_or_pos :args (@t62)) % 0.41/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t55 @t53 @t61 (not @t62)))) % 0.41/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p44 @p31) :args (@t61 @t63 (@list @t54 @t53 @t62))) % 0.41/0.57 (step @p55 :rule bool-impl-elim :args (@t8 @t18)) % 0.41/0.57 (step @p56 :rule cong :premises (@p55) :args (@t19)) % 0.41/0.57 (step @p57 :rule eq_resolve :premises (@p8 @p56)) % 0.41/0.57 (step @p58 :rule instantiate :premises (@p57) :args (@t64)) % 0.41/0.57 (step @p59 :rule aci_norm :args ((= (or @t42 @t7) (or @t42 @t6 @t5)))) % 0.41/0.57 (step @p60 :rule bool-impl-elim :args (@t8 @t7)) % 0.41/0.57 (step @p61 :rule trans :premises (@p60 @p59)) % 0.41/0.57 (step @p62 :rule cong :premises (@p61) :args (@t10)) % 0.41/0.57 (step @p63 :rule eq_resolve :premises (@p4 @p62)) % 0.41/0.57 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t48 @t49 @t48))) % 0.41/0.57 (step @p65 :rule instantiate :premises (@p1) :args ((@list @t48))) % 0.41/0.57 (step @p66 :rule bool-double-not-elim :args (@t56)) % 0.41/0.57 (step @p67 :rule nary_cong :premises (@p46 @p66) :args ((or @t58 (not @t57)))) % 0.41/0.57 (step @p68 :rule cnf_or_neg :args (@t58 0)) % 0.41/0.57 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.41/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t56 @t58))) % 0.41/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p42) :args (@t56 @t59 @t60)) % 0.41/0.57 (step @p72 :rule cnf_or_pos :args (@t67)) % 0.41/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t57 @t65 @t66 (not @t67)))) % 0.41/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p65 @p64) :args (@t65 @t63 (@list @t56 @t66 @t67))) % 0.41/0.57 (step @p75 :rule cnf_or_pos :args (@t71)) % 0.41/0.57 (step @p76 :rule reordering :premises (@p75) :args ((or @t70 @t69 (not @t71)))) % 0.41/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p58) :args (@t69 @t72 (@list @t65 @t71))) % 0.41/0.57 (step @p78 :rule instantiate :premises (@p57) :args (@t73)) % 0.41/0.57 (step @p79 :rule cnf_or_pos :args (@t76)) % 0.41/0.57 (step @p80 :rule reordering :premises (@p79) :args ((or @t57 @t75 (not @t76)))) % 0.41/0.57 (step @p81 :rule chain_m_resolution :premises (@p80 @p71 @p78) :args (@t75 @t72 (@list @t56 @t76))) % 0.41/0.57 (step @p82 :rule bool-impl-elim :args (@t8 @t15)) % 0.41/0.57 (step @p83 :rule cong :premises (@p82) :args (@t17)) % 0.41/0.57 (step @p84 :rule eq_resolve :premises (@p7 @p83)) % 0.41/0.57 (step @p85 :rule instantiate :premises (@p84) :args (@t64)) % 0.41/0.57 (step @p86 :rule cnf_or_pos :args (@t79)) % 0.41/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t70 @t78 (not @t79)))) % 0.41/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p74 @p85) :args (@t78 @t72 (@list @t65 @t79))) % 0.41/0.57 (step @p89 :rule instantiate :premises (@p84) :args (@t73)) % 0.41/0.57 (step @p90 :rule cnf_or_pos :args (@t82)) % 0.41/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t57 @t81 (not @t82)))) % 0.41/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p71 @p89) :args (@t81 @t72 (@list @t56 @t82))) % 0.41/0.57 (step @p93 :rule cnf_or_pos :args (@t84)) % 0.41/0.57 (step @p94 :rule reordering :premises (@p93) :args ((or @t80 @t70 @t77 @t74 @t68 @t83 @t85))) % 0.41/0.57 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p74 @p88 @p81 @p77 @p54) :args (@t85 (@list true false true true true false) (@list @t80 @t65 @t77 @t74 @t68 @t61))) % 0.41/0.57 (assume-push @p102 @t86) % 0.41/0.57 (step @p97 :rule instantiate :premises (@p25) :args ((@list @t49 @t48 @t51 @t50))) % 0.41/0.57 (step-pop @p103 :rule scope :premises (@p97)) % 0.41/0.57 (step @p98 :rule process_scope :premises (@p103) :args (@t84)) % 0.41/0.57 (step @p100 :rule implies_elim :premises (@p98)) % 0.41/0.57 (step @p101 false :rule chain_m_resolution :premises (@p100 @p95 @p25) :args (false (@list true false) (@list @t84 @t86))) % 0.41/0.57 ) % 0.41/0.57 % SZS output end Proof % 0.41/0.58 % cvc5 exiting %------------------------------------------------------------------------------