%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO203+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 : n012.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 08:16:42 AM UTC 2026 % Result : Theorem 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO203+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 23:40:03 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.37 % SZS status Theorem % 0.15/0.37 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (define @t1 () (@var "X" $$unsorted)) % 0.15/0.37 (define @t2 () (@list @t1)) % 0.15/0.37 (define @t3 () (@var "Z" $$unsorted)) % 0.15/0.37 (define @t4 () (@var "Y" $$unsorted)) % 0.15/0.37 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.15/0.37 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.15/0.37 (define @t7 () (@list @t1 @t4 @t3)) % 0.15/0.37 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.15/0.37 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.15/0.37 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.15/0.37 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.15/0.37 (define @t12 () (not (tptp.apart_point_and_line @t1 @t11))) % 0.15/0.37 (define @t13 () (@list @t1 @t4)) % 0.15/0.37 (define @t14 () (forall @t13 (=> @t6 @t12))) % 0.15/0.37 (define @t15 () (not (tptp.apart_point_and_line @t4 @t11))) % 0.15/0.37 (define @t16 () (forall @t13 (=> @t6 @t15))) % 0.15/0.37 (define @t17 () (tptp.intersection_point @t1 @t4)) % 0.15/0.37 (define @t18 () (not (tptp.apart_point_and_line @t17 @t1))) % 0.15/0.37 (define @t19 () (forall @t13 (=> @t10 @t18))) % 0.15/0.37 (define @t20 () (@var "V" $$unsorted)) % 0.15/0.37 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.15/0.37 (define @t22 () (@var "U" $$unsorted)) % 0.15/0.37 (define @t23 () (tptp.apart_point_and_line @t4 @t22)) % 0.15/0.37 (define @t24 () (tptp.apart_point_and_line @t1 @t20)) % 0.15/0.37 (define @t25 () (tptp.apart_point_and_line @t1 @t22)) % 0.15/0.37 (define @t26 () (or @t25 @t24 @t23 @t21)) % 0.15/0.37 (define @t27 () (tptp.distinct_lines @t22 @t20)) % 0.15/0.37 (define @t28 () (and @t6 @t27)) % 0.15/0.37 (define @t29 () (forall (@list @t1 @t4 @t22 @t20) (=> @t28 @t26))) % 0.15/0.37 (define @t30 () (tptp.apart_point_and_line @t1 @t4)) % 0.15/0.37 (define @t31 () (tptp.intersection_point @t1 @t3)) % 0.15/0.37 (define @t32 () (not (tptp.distinct_lines (tptp.line_connecting @t17 @t31) @t1))) % 0.15/0.37 (define @t33 () (tptp.distinct_points @t17 @t31)) % 0.15/0.37 (define @t34 () (and @t10 @t9 @t33)) % 0.15/0.37 (define @t35 () (forall @t7 (=> @t34 @t32))) % 0.15/0.37 (define @t36 () (not @t35)) % 0.15/0.37 (define @t37 () (not @t33)) % 0.15/0.37 (define @t38 () (not @t9)) % 0.15/0.37 (define @t39 () (not @t10)) % 0.15/0.37 (define @t40 () (or @t39 @t38 @t37 @t32)) % 0.15/0.37 (define @t41 () (or @t39 @t38 @t37)) % 0.15/0.37 (define @t42 () (forall @t7 @t40)) % 0.15/0.37 (define @t43 () (@quantifiers_skolemize @t42 2)) % 0.15/0.37 (define @t44 () (@quantifiers_skolemize @t42 0)) % 0.15/0.37 (define @t45 () (tptp.intersection_point @t44 @t43)) % 0.15/0.37 (define @t46 () (@quantifiers_skolemize @t42 1)) % 0.15/0.37 (define @t47 () (tptp.intersection_point @t44 @t46)) % 0.15/0.37 (define @t48 () (tptp.distinct_points @t47 @t45)) % 0.15/0.37 (define @t49 () (tptp.line_connecting @t47 @t45)) % 0.15/0.37 (define @t50 () (tptp.distinct_lines @t49 @t44)) % 0.15/0.37 (define @t51 () (not @t50)) % 0.15/0.37 (define @t52 () (not @t48)) % 0.15/0.37 (define @t53 () (tptp.convergent_lines @t44 @t43)) % 0.15/0.37 (define @t54 () (not @t53)) % 0.15/0.37 (define @t55 () (tptp.convergent_lines @t44 @t46)) % 0.15/0.37 (define @t56 () (not @t55)) % 0.15/0.37 (define @t57 () (or @t56 @t54 @t52 @t51)) % 0.15/0.37 (define @t58 () (@list true)) % 0.15/0.37 (define @t59 () (@list @t57)) % 0.15/0.37 (define @t60 () (not @t27)) % 0.15/0.37 (define @t61 () (not @t6)) % 0.15/0.37 (define @t62 () (tptp.apart_point_and_line @t45 @t44)) % 0.15/0.37 (define @t63 () (not @t62)) % 0.15/0.37 (define @t64 () (or @t54 @t63)) % 0.15/0.37 (define @t65 () (@list false false)) % 0.15/0.37 (define @t66 () (tptp.apart_point_and_line @t47 @t44)) % 0.15/0.37 (define @t67 () (not @t66)) % 0.15/0.37 (define @t68 () (or @t56 @t67)) % 0.15/0.37 (define @t69 () (@list @t47 @t45)) % 0.15/0.37 (define @t70 () (tptp.apart_point_and_line @t47 @t49)) % 0.15/0.37 (define @t71 () (not @t70)) % 0.15/0.37 (define @t72 () (or @t52 @t71)) % 0.15/0.37 (define @t73 () (tptp.apart_point_and_line @t45 @t49)) % 0.15/0.37 (define @t74 () (not @t73)) % 0.15/0.37 (define @t75 () (or @t52 @t74)) % 0.15/0.37 (define @t76 () (or @t52 @t51 @t70 @t66 @t73 @t62)) % 0.15/0.37 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.15/0.37 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.15/0.37 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.15/0.37 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.15/0.37 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.15/0.37 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.15/0.37 (assume @p7 @t14) % 0.15/0.37 (assume @p8 @t16) % 0.15/0.37 (assume @p9 @t19) % 0.15/0.37 (assume @p10 (forall @t13 (=> @t10 (not (tptp.apart_point_and_line @t17 @t4))))) % 0.15/0.37 (assume @p11 @t29) % 0.15/0.37 (assume @p12 (forall @t7 (=> @t30 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.15/0.37 (assume @p13 (forall @t7 (=> @t30 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.15/0.37 (assume @p14 (forall @t7 (=> @t10 (or @t8 @t9)))) % 0.15/0.37 (assume @p15 @t36) % 0.15/0.37 (assume @p16 true) % 0.15/0.37 (step @p17 :rule aci_norm :args ((= (or @t41 @t32) @t40))) % 0.15/0.37 (step @p18 :rule refl :args (@t32)) % 0.15/0.37 (step @p19 :rule aci_norm :args ((= (or @t39 (or @t38 @t37)) @t41))) % 0.15/0.37 (step @p20 :rule bool-and-de-morgan :args (@t9 @t33 true)) % 0.15/0.37 (step @p21 :rule refl :args (@t39)) % 0.15/0.37 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t39 (not (and @t9 @t33))))) % 0.15/0.37 (step @p23 :rule bool-and-de-morgan :args (@t10 @t9 (and @t33))) % 0.15/0.37 (step @p24 :rule trans :premises (@p23 @p22)) % 0.15/0.37 (step @p25 :rule trans :premises (@p24 @p19)) % 0.15/0.37 (step @p26 :rule nary_cong :premises (@p25 @p18) :args ((or (not @t34) @t32))) % 0.15/0.37 (step @p27 :rule trans :premises (@p26 @p17)) % 0.15/0.37 (step @p28 :rule bool-impl-elim :args (@t34 @t32)) % 0.15/0.37 (step @p29 :rule trans :premises (@p28 @p27)) % 0.15/0.37 (step @p30 :rule cong :premises (@p29) :args (@t35)) % 0.15/0.37 (step @p31 :rule cong :premises (@p30) :args (@t36)) % 0.15/0.37 (step @p32 :rule eq_resolve :premises (@p15 @p31)) % 0.15/0.37 (step @p33 :rule skolemize :premises (@p32)) % 0.15/0.37 (step @p34 :rule bool-double-not-elim :args (@t48)) % 0.15/0.37 (step @p35 :rule refl :args (@t57)) % 0.15/0.37 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t57 (not @t52)))) % 0.15/0.37 (step @p37 :rule cnf_or_neg :args (@t57 2)) % 0.15/0.37 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.15/0.37 (step @p39 :rule reordering :premises (@p38) :args ((or @t48 @t57))) % 0.15/0.37 (step @p40 :rule chain_m_resolution :premises (@p39 @p33) :args (@t48 @t58 @t59)) % 0.15/0.37 (step @p41 :rule bool-double-not-elim :args (@t50)) % 0.15/0.37 (step @p42 :rule nary_cong :premises (@p35 @p41) :args ((or @t57 (not @t51)))) % 0.15/0.37 (step @p43 :rule cnf_or_neg :args (@t57 3)) % 0.15/0.37 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.15/0.37 (step @p45 :rule reordering :premises (@p44) :args ((or @t50 @t57))) % 0.15/0.37 (step @p46 :rule chain_m_resolution :premises (@p45 @p33) :args (@t50 @t58 @t59)) % 0.15/0.37 (step @p47 :rule aci_norm :args ((= (or (or @t61 @t60) @t26) (or @t61 @t60 @t25 @t24 @t23 @t21)))) % 0.15/0.37 (step @p48 :rule refl :args (@t26)) % 0.15/0.37 (step @p49 :rule bool-and-de-morgan :args (@t6 @t27 true)) % 0.15/0.37 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t28) @t26))) % 0.15/0.37 (step @p51 :rule trans :premises (@p50 @p47)) % 0.15/0.37 (step @p52 :rule bool-impl-elim :args (@t28 @t26)) % 0.15/0.37 (step @p53 :rule trans :premises (@p52 @p51)) % 0.15/0.37 (step @p54 :rule cong :premises (@p53) :args (@t29)) % 0.15/0.37 (step @p55 :rule eq_resolve :premises (@p11 @p54)) % 0.15/0.37 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t47 @t45 @t49 @t44))) % 0.15/0.37 (step @p57 :rule bool-impl-elim :args (@t10 @t18)) % 0.15/0.37 (step @p58 :rule cong :premises (@p57) :args (@t19)) % 0.15/0.37 (step @p59 :rule eq_resolve :premises (@p9 @p58)) % 0.15/0.37 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t44 @t43))) % 0.15/0.37 (step @p61 :rule bool-double-not-elim :args (@t53)) % 0.15/0.37 (step @p62 :rule nary_cong :premises (@p35 @p61) :args ((or @t57 (not @t54)))) % 0.15/0.37 (step @p63 :rule cnf_or_neg :args (@t57 1)) % 0.15/0.37 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.15/0.37 (step @p65 :rule reordering :premises (@p64) :args ((or @t53 @t57))) % 0.15/0.37 (step @p66 :rule chain_m_resolution :premises (@p65 @p33) :args (@t53 @t58 @t59)) % 0.15/0.37 (step @p67 :rule cnf_or_pos :args (@t64)) % 0.15/0.37 (step @p68 :rule reordering :premises (@p67) :args ((or @t54 @t63 (not @t64)))) % 0.15/0.37 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p60) :args (@t63 @t65 (@list @t53 @t64))) % 0.15/0.37 (step @p70 :rule instantiate :premises (@p59) :args ((@list @t44 @t46))) % 0.15/0.37 (step @p71 :rule bool-double-not-elim :args (@t55)) % 0.15/0.37 (step @p72 :rule nary_cong :premises (@p35 @p71) :args ((or @t57 (not @t56)))) % 0.15/0.37 (step @p73 :rule cnf_or_neg :args (@t57 0)) % 0.15/0.37 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.15/0.37 (step @p75 :rule reordering :premises (@p74) :args ((or @t55 @t57))) % 0.15/0.37 (step @p76 :rule chain_m_resolution :premises (@p75 @p33) :args (@t55 @t58 @t59)) % 0.15/0.37 (step @p77 :rule cnf_or_pos :args (@t68)) % 0.15/0.37 (step @p78 :rule reordering :premises (@p77) :args ((or @t56 @t67 (not @t68)))) % 0.15/0.37 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p70) :args (@t67 @t65 (@list @t55 @t68))) % 0.15/0.37 (step @p80 :rule bool-impl-elim :args (@t6 @t12)) % 0.15/0.37 (step @p81 :rule cong :premises (@p80) :args (@t14)) % 0.15/0.37 (step @p82 :rule eq_resolve :premises (@p7 @p81)) % 0.15/0.37 (step @p83 :rule instantiate :premises (@p82) :args (@t69)) % 0.15/0.37 (step @p84 :rule cnf_or_pos :args (@t72)) % 0.15/0.37 (step @p85 :rule reordering :premises (@p84) :args ((or @t52 @t71 (not @t72)))) % 0.15/0.37 (step @p86 :rule chain_m_resolution :premises (@p85 @p40 @p83) :args (@t71 @t65 (@list @t48 @t72))) % 0.15/0.37 (step @p87 :rule bool-impl-elim :args (@t6 @t15)) % 0.15/0.37 (step @p88 :rule cong :premises (@p87) :args (@t16)) % 0.15/0.37 (step @p89 :rule eq_resolve :premises (@p8 @p88)) % 0.15/0.37 (step @p90 :rule instantiate :premises (@p89) :args (@t69)) % 0.15/0.37 (step @p91 :rule cnf_or_pos :args (@t75)) % 0.15/0.37 (step @p92 :rule reordering :premises (@p91) :args ((or @t52 @t74 (not @t75)))) % 0.15/0.37 (step @p93 :rule chain_m_resolution :premises (@p92 @p40 @p90) :args (@t74 @t65 (@list @t48 @t75))) % 0.15/0.37 (step @p94 :rule cnf_or_pos :args (@t76)) % 0.15/0.37 (step @p95 :rule reordering :premises (@p94) :args ((or @t52 @t51 @t70 @t73 @t66 @t62 (not @t76)))) % 0.15/0.37 (step @p96 false :rule chain_m_resolution :premises (@p95 @p93 @p86 @p79 @p69 @p56 @p46 @p40) :args (false (@list true true true true false false false) (@list @t73 @t70 @t66 @t62 @t76 @t50 @t48))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------