%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO173+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 : n020.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 08:16:32 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO173+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 % 0.16/0.34 % Computer : n020.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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:38:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t2 () (@list @t1)) % 0.37/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.37/0.57 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.37/0.57 (define @t7 () (@list @t1 @t4 @t3)) % 0.37/0.57 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.37/0.57 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.37/0.57 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.37/0.57 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.37/0.57 (define @t12 () (not (tptp.apart_point_and_line @t1 @t11))) % 0.37/0.57 (define @t13 () (@list @t1 @t4)) % 0.37/0.57 (define @t14 () (forall @t13 (=> @t6 @t12))) % 0.37/0.57 (define @t15 () (not (tptp.apart_point_and_line @t4 @t11))) % 0.37/0.57 (define @t16 () (forall @t13 (=> @t6 @t15))) % 0.37/0.57 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.37/0.57 (define @t18 () (@var "V" $$unsorted)) % 0.37/0.57 (define @t19 () (tptp.apart_point_and_line @t4 @t18)) % 0.37/0.57 (define @t20 () (@var "U" $$unsorted)) % 0.37/0.57 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.37/0.57 (define @t22 () (tptp.apart_point_and_line @t1 @t18)) % 0.37/0.57 (define @t23 () (tptp.apart_point_and_line @t1 @t20)) % 0.37/0.57 (define @t24 () (or @t23 @t22 @t21 @t19)) % 0.37/0.57 (define @t25 () (tptp.distinct_lines @t20 @t18)) % 0.37/0.57 (define @t26 () (and @t6 @t25)) % 0.37/0.57 (define @t27 () (@list @t1 @t4 @t20 @t18)) % 0.37/0.57 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.37/0.57 (define @t29 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.57 (define @t30 () (or @t23 @t21)) % 0.37/0.57 (define @t31 () (tptp.distinct_lines @t20 @t11)) % 0.37/0.57 (define @t32 () (tptp.convergent_lines @t20 @t18)) % 0.37/0.57 (define @t33 () (and @t6 @t32 @t31)) % 0.37/0.57 (define @t34 () (forall @t27 (=> @t33 @t30))) % 0.37/0.57 (define @t35 () (not @t34)) % 0.37/0.57 (define @t36 () (not @t31)) % 0.37/0.57 (define @t37 () (not @t32)) % 0.37/0.57 (define @t38 () (not @t6)) % 0.37/0.57 (define @t39 () (or @t38 @t37 @t36 @t23 @t21)) % 0.37/0.57 (define @t40 () (or @t38 @t37 @t36)) % 0.37/0.57 (define @t41 () (forall @t27 @t39)) % 0.37/0.57 (define @t42 () (@quantifiers_skolemize @t41 1)) % 0.37/0.57 (define @t43 () (@quantifiers_skolemize @t41 0)) % 0.37/0.57 (define @t44 () (tptp.distinct_points @t43 @t42)) % 0.37/0.57 (define @t45 () (@quantifiers_skolemize @t41 2)) % 0.37/0.57 (define @t46 () (tptp.apart_point_and_line @t42 @t45)) % 0.37/0.57 (define @t47 () (tptp.apart_point_and_line @t43 @t45)) % 0.37/0.57 (define @t48 () (tptp.line_connecting @t43 @t42)) % 0.37/0.57 (define @t49 () (tptp.distinct_lines @t45 @t48)) % 0.37/0.57 (define @t50 () (not @t49)) % 0.37/0.57 (define @t51 () (not @t44)) % 0.37/0.57 (define @t52 () (or @t51 (not (tptp.convergent_lines @t45 (@quantifiers_skolemize @t41 3))) @t50 @t47 @t46)) % 0.37/0.57 (define @t53 () (@list true)) % 0.37/0.57 (define @t54 () (@list @t52)) % 0.37/0.57 (define @t55 () (not @t25)) % 0.37/0.57 (define @t56 () (@list @t43 @t42)) % 0.37/0.57 (define @t57 () (tptp.apart_point_and_line @t43 @t48)) % 0.37/0.57 (define @t58 () (not @t57)) % 0.37/0.57 (define @t59 () (or @t51 @t58)) % 0.37/0.57 (define @t60 () (@list false false)) % 0.37/0.57 (define @t61 () (tptp.apart_point_and_line @t42 @t48)) % 0.37/0.57 (define @t62 () (not @t61)) % 0.37/0.57 (define @t63 () (or @t51 @t62)) % 0.37/0.57 (define @t64 () (or @t51 @t50 @t47 @t57 @t46 @t61)) % 0.37/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.37/0.57 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.37/0.57 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.37/0.57 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.37/0.57 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.37/0.57 (assume @p7 @t14) % 0.37/0.57 (assume @p8 @t16) % 0.37/0.57 (assume @p9 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t1))))) % 0.37/0.57 (assume @p10 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t4))))) % 0.37/0.57 (assume @p11 @t28) % 0.37/0.57 (assume @p12 (forall @t7 (=> @t29 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.37/0.57 (assume @p13 (forall @t7 (=> @t29 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.37/0.57 (assume @p14 (forall @t7 (=> @t10 (or @t8 @t9)))) % 0.37/0.57 (assume @p15 @t35) % 0.37/0.57 (assume @p16 true) % 0.37/0.57 (step @p17 :rule aci_norm :args ((= (or @t40 @t30) @t39))) % 0.37/0.57 (step @p18 :rule refl :args (@t30)) % 0.37/0.57 (step @p19 :rule aci_norm :args ((= (or @t38 (or @t37 @t36)) @t40))) % 0.37/0.57 (step @p20 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 0.37/0.57 (step @p21 :rule refl :args (@t38)) % 0.37/0.57 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t38 (not (and @t32 @t31))))) % 0.37/0.57 (step @p23 :rule bool-and-de-morgan :args (@t6 @t32 (and @t31))) % 0.37/0.57 (step @p24 :rule trans :premises (@p23 @p22)) % 0.37/0.57 (step @p25 :rule trans :premises (@p24 @p19)) % 0.37/0.57 (step @p26 :rule nary_cong :premises (@p25 @p18) :args ((or (not @t33) @t30))) % 0.37/0.57 (step @p27 :rule trans :premises (@p26 @p17)) % 0.37/0.57 (step @p28 :rule bool-impl-elim :args (@t33 @t30)) % 0.37/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.37/0.57 (step @p30 :rule cong :premises (@p29) :args (@t34)) % 0.37/0.57 (step @p31 :rule cong :premises (@p30) :args (@t35)) % 0.37/0.57 (step @p32 :rule eq_resolve :premises (@p15 @p31)) % 0.37/0.57 (step @p33 :rule skolemize :premises (@p32)) % 0.37/0.57 (step @p34 :rule bool-double-not-elim :args (@t44)) % 0.37/0.57 (step @p35 :rule refl :args (@t52)) % 0.37/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t52 (not @t51)))) % 0.37/0.57 (step @p37 :rule cnf_or_neg :args (@t52 0)) % 0.37/0.57 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.37/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t44 @t52))) % 0.37/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p33) :args (@t44 @t53 @t54)) % 0.37/0.57 (step @p41 :rule bool-double-not-elim :args (@t49)) % 0.37/0.57 (step @p42 :rule nary_cong :premises (@p35 @p41) :args ((or @t52 (not @t50)))) % 0.37/0.57 (step @p43 :rule cnf_or_neg :args (@t52 2)) % 0.37/0.57 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.37/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t49 @t52))) % 0.37/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p33) :args (@t49 @t53 @t54)) % 0.37/0.57 (step @p47 :rule cnf_or_neg :args (@t52 3)) % 0.37/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p33) :args ((not @t47) @t53 @t54)) % 0.37/0.57 (step @p49 :rule cnf_or_neg :args (@t52 4)) % 0.37/0.57 (step @p50 :rule chain_m_resolution :premises (@p49 @p33) :args ((not @t46) @t53 @t54)) % 0.37/0.57 (step @p51 :rule aci_norm :args ((= (or (or @t38 @t55) @t24) (or @t38 @t55 @t23 @t22 @t21 @t19)))) % 0.37/0.57 (step @p52 :rule refl :args (@t24)) % 0.37/0.57 (step @p53 :rule bool-and-de-morgan :args (@t6 @t25 true)) % 0.37/0.57 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t26) @t24))) % 0.37/0.57 (step @p55 :rule trans :premises (@p54 @p51)) % 0.37/0.57 (step @p56 :rule bool-impl-elim :args (@t26 @t24)) % 0.37/0.57 (step @p57 :rule trans :premises (@p56 @p55)) % 0.37/0.57 (step @p58 :rule cong :premises (@p57) :args (@t28)) % 0.37/0.57 (step @p59 :rule eq_resolve :premises (@p11 @p58)) % 0.37/0.57 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t43 @t42 @t45 @t48))) % 0.37/0.57 (step @p61 :rule bool-impl-elim :args (@t6 @t12)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61) :args (@t14)) % 0.37/0.57 (step @p63 :rule eq_resolve :premises (@p7 @p62)) % 0.37/0.57 (step @p64 :rule instantiate :premises (@p63) :args (@t56)) % 0.37/0.57 (step @p65 :rule cnf_or_pos :args (@t59)) % 0.37/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t51 @t58 (not @t59)))) % 0.37/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p40 @p64) :args (@t58 @t60 (@list @t44 @t59))) % 0.37/0.57 (step @p68 :rule bool-impl-elim :args (@t6 @t15)) % 0.37/0.57 (step @p69 :rule cong :premises (@p68) :args (@t16)) % 0.37/0.57 (step @p70 :rule eq_resolve :premises (@p8 @p69)) % 0.37/0.57 (step @p71 :rule instantiate :premises (@p70) :args (@t56)) % 0.37/0.57 (step @p72 :rule cnf_or_pos :args (@t63)) % 0.37/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t51 @t62 (not @t63)))) % 0.37/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p40 @p71) :args (@t62 @t60 (@list @t44 @t63))) % 0.37/0.57 (step @p75 :rule cnf_or_pos :args (@t64)) % 0.37/0.57 (step @p76 :rule reordering :premises (@p75) :args ((or @t51 @t50 @t47 @t46 @t57 @t61 (not @t64)))) % 0.37/0.57 (step @p77 false :rule chain_m_resolution :premises (@p76 @p74 @p67 @p60 @p50 @p48 @p46 @p40) :args (false (@list true true false true true false false) (@list @t61 @t57 @t64 @t46 @t47 @t49 @t44))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------