%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO204+2 : 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 : n016.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 08:16:43 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO204+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:40:39 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.59 (define @t2 () (@list @t1)) % 0.39/0.59 (define @t3 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.39/0.59 (define @t4 () (@var "Z" $$unsorted)) % 0.39/0.59 (define @t5 () (@var "Y" $$unsorted)) % 0.39/0.59 (define @t6 () (tptp.distinct_points @t5 @t4)) % 0.39/0.59 (define @t7 () (tptp.distinct_points @t1 @t4)) % 0.39/0.59 (define @t8 () (or @t7 @t6)) % 0.39/0.59 (define @t9 () (tptp.distinct_points @t1 @t5)) % 0.39/0.59 (define @t10 () (@list @t1 @t5 @t4)) % 0.39/0.59 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.39/0.59 (define @t12 () (tptp.distinct_lines @t5 @t4)) % 0.39/0.59 (define @t13 () (tptp.distinct_lines @t1 @t5)) % 0.39/0.59 (define @t14 () (tptp.convergent_lines @t1 @t5)) % 0.39/0.59 (define @t15 () (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5))) % 0.39/0.59 (define @t16 () (tptp.line_connecting @t1 @t5)) % 0.39/0.59 (define @t17 () (tptp.apart_point_and_line @t4 @t16)) % 0.39/0.59 (define @t18 () (=> @t17 @t15)) % 0.39/0.59 (define @t19 () (forall @t10 (=> @t9 @t18))) % 0.39/0.59 (define @t20 () (tptp.apart_point_and_line @t4 @t5)) % 0.39/0.59 (define @t21 () (@var "V" $$unsorted)) % 0.39/0.59 (define @t22 () (tptp.apart_point_and_line @t5 @t21)) % 0.39/0.59 (define @t23 () (@var "U" $$unsorted)) % 0.39/0.59 (define @t24 () (tptp.apart_point_and_line @t5 @t23)) % 0.39/0.59 (define @t25 () (tptp.apart_point_and_line @t1 @t21)) % 0.39/0.59 (define @t26 () (tptp.apart_point_and_line @t1 @t23)) % 0.39/0.59 (define @t27 () (or @t26 @t25 @t24 @t22)) % 0.39/0.59 (define @t28 () (tptp.distinct_lines @t23 @t21)) % 0.39/0.59 (define @t29 () (and @t9 @t28)) % 0.39/0.59 (define @t30 () (forall (@list @t1 @t5 @t23 @t21) (=> @t29 @t27))) % 0.39/0.59 (define @t31 () (tptp.apart_point_and_line @t1 @t5)) % 0.39/0.59 (define @t32 () (and @t7 (not (tptp.distinct_lines @t16 (tptp.line_connecting @t1 @t4))))) % 0.39/0.59 (define @t33 () (not @t6)) % 0.39/0.59 (define @t34 () (and @t9 @t33)) % 0.39/0.59 (define @t35 () (forall @t10 (=> @t34 @t32))) % 0.39/0.59 (define @t36 () (not @t35)) % 0.39/0.59 (define @t37 () (not @t17)) % 0.39/0.59 (define @t38 () (not @t9)) % 0.39/0.59 (define @t39 () (or @t38 @t6 @t32)) % 0.39/0.59 (define @t40 () (forall @t10 @t39)) % 0.39/0.59 (define @t41 () (@quantifiers_skolemize @t40 1)) % 0.39/0.59 (define @t42 () (@quantifiers_skolemize @t40 0)) % 0.39/0.59 (define @t43 () (not @t28)) % 0.39/0.59 (define @t44 () (@quantifiers_skolemize @t40 2)) % 0.39/0.59 (define @t45 () (tptp.line_connecting @t42 @t44)) % 0.39/0.59 (define @t46 () (tptp.line_connecting @t42 @t41)) % 0.39/0.59 (define @t47 () (tptp.distinct_lines @t46 @t45)) % 0.39/0.59 (define @t48 () (not @t47)) % 0.39/0.59 (define @t49 () (tptp.distinct_points @t42 @t44)) % 0.39/0.59 (define @t50 () (and @t49 @t48)) % 0.39/0.59 (define @t51 () (tptp.distinct_points @t41 @t44)) % 0.39/0.59 (define @t52 () (tptp.distinct_points @t42 @t41)) % 0.39/0.59 (define @t53 () (not @t52)) % 0.39/0.59 (define @t54 () (or @t53 @t51 @t50)) % 0.39/0.59 (define @t55 () (@list true)) % 0.39/0.59 (define @t56 () (@list @t54)) % 0.39/0.59 (define @t57 () (tptp.distinct_points @t41 @t42)) % 0.39/0.59 (define @t58 () (and @t57 @t51)) % 0.39/0.59 (define @t59 () (not @t58)) % 0.39/0.59 (define @t60 () (or @t53 @t49 @t51)) % 0.39/0.59 (define @t61 () (@list false true false)) % 0.39/0.59 (define @t62 () (tptp.apart_point_and_line @t41 @t45)) % 0.39/0.59 (define @t63 () (not @t62)) % 0.39/0.59 (define @t64 () (not @t49)) % 0.39/0.59 (define @t65 () (or @t64 @t63 @t58)) % 0.39/0.59 (define @t66 () (tptp.distinct_points @t42 @t42)) % 0.39/0.59 (define @t67 () (and @t66 @t49)) % 0.39/0.59 (define @t68 () (not @t67)) % 0.39/0.59 (define @t69 () (@list @t66)) % 0.39/0.59 (define @t70 () (tptp.apart_point_and_line @t42 @t45)) % 0.39/0.59 (define @t71 () (not @t70)) % 0.39/0.59 (define @t72 () (or @t64 @t71 @t67)) % 0.39/0.59 (define @t73 () (and @t66 @t52)) % 0.39/0.59 (define @t74 () (not @t73)) % 0.39/0.59 (define @t75 () (tptp.apart_point_and_line @t42 @t46)) % 0.39/0.59 (define @t76 () (not @t75)) % 0.39/0.59 (define @t77 () (or @t53 @t76 @t73)) % 0.39/0.59 (define @t78 () (tptp.apart_point_and_line @t41 @t46)) % 0.39/0.59 (define @t79 () (or @t53 @t48 @t75 @t70 @t78 @t62)) % 0.39/0.59 (define @t80 () (tptp.distinct_points @t41 @t41)) % 0.39/0.59 (define @t81 () (and @t57 @t80)) % 0.39/0.59 (define @t82 () (not @t78)) % 0.39/0.59 (define @t83 () (or @t53 @t82 @t81)) % 0.39/0.59 (assume @p1 @t3) % 0.39/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.39/0.59 (assume @p4 @t11) % 0.39/0.59 (assume @p5 (forall @t10 (=> @t13 (or (tptp.distinct_lines @t1 @t4) @t12)))) % 0.39/0.59 (assume @p6 (forall @t10 (=> @t14 (or (tptp.convergent_lines @t1 @t4) (tptp.convergent_lines @t5 @t4))))) % 0.39/0.59 (assume @p7 @t19) % 0.39/0.59 (assume @p8 (forall @t10 (=> @t14 (=> (or (tptp.apart_point_and_line @t4 @t1) @t20) (tptp.distinct_points @t4 (tptp.intersection_point @t1 @t5)))))) % 0.39/0.59 (assume @p9 @t30) % 0.39/0.59 (assume @p10 (forall @t10 (=> @t31 (or @t7 @t20)))) % 0.39/0.59 (assume @p11 (forall @t10 (=> @t31 (or @t12 (tptp.apart_point_and_line @t1 @t4))))) % 0.39/0.59 (assume @p12 (forall (@list @t1 @t5) (=> @t14 @t13))) % 0.39/0.59 (assume @p13 @t36) % 0.39/0.59 (assume @p14 true) % 0.39/0.59 (step @p15 :rule aci_norm :args ((= (or @t38 (or @t37 @t15)) (or @t38 @t37 @t15)))) % 0.39/0.59 (step @p16 :rule bool-impl-elim :args (@t17 @t15)) % 0.39/0.59 (step @p17 :rule refl :args (@t38)) % 0.39/0.59 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t38 @t18))) % 0.39/0.59 (step @p19 :rule trans :premises (@p18 @p15)) % 0.39/0.59 (step @p20 :rule bool-impl-elim :args (@t9 @t18)) % 0.39/0.59 (step @p21 :rule trans :premises (@p20 @p19)) % 0.39/0.59 (step @p22 :rule cong :premises (@p21) :args (@t19)) % 0.39/0.59 (step @p23 :rule eq_resolve :premises (@p7 @p22)) % 0.39/0.59 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t42 @t41 @t41))) % 0.39/0.59 (step @p25 :rule aci_norm :args ((= (or (or @t38 @t43) @t27) (or @t38 @t43 @t26 @t25 @t24 @t22)))) % 0.39/0.59 (step @p26 :rule refl :args (@t27)) % 0.39/0.59 (step @p27 :rule bool-and-de-morgan :args (@t9 @t28 true)) % 0.39/0.59 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t29) @t27))) % 0.39/0.59 (step @p29 :rule trans :premises (@p28 @p25)) % 0.39/0.59 (step @p30 :rule bool-impl-elim :args (@t29 @t27)) % 0.39/0.59 (step @p31 :rule trans :premises (@p30 @p29)) % 0.39/0.59 (step @p32 :rule cong :premises (@p31) :args (@t30)) % 0.39/0.59 (step @p33 :rule eq_resolve :premises (@p9 @p32)) % 0.39/0.59 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t42 @t41 @t46 @t45))) % 0.39/0.59 (step @p35 :rule instantiate :premises (@p23) :args ((@list @t42 @t44 @t41))) % 0.39/0.59 (step @p36 :rule aci_norm :args ((= (or (or @t38 @t6) @t32) @t39))) % 0.39/0.59 (step @p37 :rule refl :args (@t32)) % 0.39/0.59 (step @p38 :rule bool-double-not-elim :args (@t6)) % 0.39/0.59 (step @p39 :rule nary_cong :premises (@p17 @p38) :args ((or @t38 (not @t33)))) % 0.39/0.59 (step @p40 :rule bool-and-de-morgan :args (@t9 @t33 true)) % 0.39/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.39/0.59 (step @p42 :rule nary_cong :premises (@p41 @p37) :args ((or (not @t34) @t32))) % 0.39/0.59 (step @p43 :rule trans :premises (@p42 @p36)) % 0.39/0.59 (step @p44 :rule bool-impl-elim :args (@t34 @t32)) % 0.39/0.59 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.59 (step @p46 :rule cong :premises (@p45) :args (@t35)) % 0.39/0.59 (step @p47 :rule cong :premises (@p46) :args (@t36)) % 0.39/0.59 (step @p48 :rule eq_resolve :premises (@p13 @p47)) % 0.39/0.59 (step @p49 :rule skolemize :premises (@p48)) % 0.39/0.59 (step @p50 :rule cnf_or_neg :args (@t54 1)) % 0.39/0.59 (step @p51 :rule chain_m_resolution :premises (@p50 @p49) :args ((not @t51) @t55 @t56)) % 0.39/0.59 (step @p52 :rule cnf_and_pos :args (@t58 1)) % 0.39/0.59 (step @p53 :rule reordering :premises (@p52) :args ((or @t51 @t59))) % 0.39/0.59 (step @p54 :rule chain_m_resolution :premises (@p53 @p51) :args (@t59 @t55 (@list @t51))) % 0.39/0.59 (step @p55 :rule aci_norm :args ((= (or @t38 @t8) (or @t38 @t7 @t6)))) % 0.39/0.59 (step @p56 :rule bool-impl-elim :args (@t9 @t8)) % 0.39/0.59 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.59 (step @p58 :rule cong :premises (@p57) :args (@t11)) % 0.39/0.59 (step @p59 :rule eq_resolve :premises (@p4 @p58)) % 0.39/0.59 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t42 @t41 @t44))) % 0.39/0.59 (step @p61 :rule bool-double-not-elim :args (@t52)) % 0.39/0.59 (step @p62 :rule refl :args (@t54)) % 0.39/0.59 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t54 (not @t53)))) % 0.39/0.59 (step @p64 :rule cnf_or_neg :args (@t54 0)) % 0.39/0.59 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.39/0.59 (step @p66 :rule reordering :premises (@p65) :args ((or @t52 @t54))) % 0.39/0.59 (step @p67 :rule chain_m_resolution :premises (@p66 @p49) :args (@t52 @t55 @t56)) % 0.39/0.59 (step @p68 :rule cnf_or_pos :args (@t60)) % 0.39/0.59 (step @p69 :rule reordering :premises (@p68) :args ((or @t53 @t51 @t49 (not @t60)))) % 0.39/0.59 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p51 @p60) :args (@t49 @t61 (@list @t52 @t51 @t60))) % 0.39/0.60 (step @p71 :rule cnf_or_pos :args (@t65)) % 0.39/0.60 (step @p72 :rule reordering :premises (@p71) :args ((or @t64 @t63 @t58 (not @t65)))) % 0.39/0.60 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p54 @p35) :args (@t63 @t61 (@list @t49 @t58 @t65))) % 0.39/0.60 (step @p74 :rule instantiate :premises (@p23) :args ((@list @t42 @t44 @t42))) % 0.39/0.60 (step @p75 :rule instantiate :premises (@p1) :args ((@list @t42))) % 0.39/0.60 (step @p76 :rule cnf_and_pos :args (@t67 0)) % 0.39/0.60 (step @p77 :rule reordering :premises (@p76) :args ((or @t66 @t68))) % 0.39/0.60 (step @p78 :rule chain_m_resolution :premises (@p77 @p75) :args (@t68 @t55 @t69)) % 0.39/0.60 (step @p79 :rule cnf_or_pos :args (@t72)) % 0.39/0.60 (step @p80 :rule reordering :premises (@p79) :args ((or @t64 @t71 @t67 (not @t72)))) % 0.39/0.60 (step @p81 :rule chain_m_resolution :premises (@p80 @p70 @p78 @p74) :args (@t71 @t61 (@list @t49 @t67 @t72))) % 0.39/0.60 (step @p82 :rule instantiate :premises (@p23) :args ((@list @t42 @t41 @t42))) % 0.39/0.60 (step @p83 :rule cnf_and_pos :args (@t73 0)) % 0.39/0.60 (step @p84 :rule reordering :premises (@p83) :args ((or @t66 @t74))) % 0.39/0.60 (step @p85 :rule chain_m_resolution :premises (@p84 @p75) :args (@t74 @t55 @t69)) % 0.39/0.60 (step @p86 :rule cnf_or_pos :args (@t77)) % 0.39/0.60 (step @p87 :rule reordering :premises (@p86) :args ((or @t53 @t76 @t73 (not @t77)))) % 0.39/0.60 (step @p88 :rule chain_m_resolution :premises (@p87 @p67 @p85 @p82) :args (@t76 @t61 (@list @t52 @t73 @t77))) % 0.39/0.60 (step @p89 :rule cnf_or_neg :args (@t54 2)) % 0.39/0.60 (step @p90 :rule chain_m_resolution :premises (@p89 @p49) :args ((not @t50) @t55 @t56)) % 0.39/0.60 (step @p91 :rule bool-double-not-elim :args (@t47)) % 0.39/0.60 (step @p92 :rule refl :args (@t64)) % 0.39/0.60 (step @p93 :rule refl :args (@t50)) % 0.39/0.60 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args ((or @t50 @t64 (not @t48)))) % 0.39/0.60 (step @p95 :rule cnf_and_neg :args (@t50)) % 0.39/0.60 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.39/0.60 (step @p97 :rule reordering :premises (@p96) :args ((or @t47 @t50 @t64))) % 0.39/0.60 (step @p98 :rule chain_m_resolution :premises (@p97 @p90 @p70) :args (@t47 (@list true false) (@list @t50 @t49))) % 0.39/0.60 (step @p99 :rule cnf_or_pos :args (@t79)) % 0.39/0.60 (step @p100 :rule reordering :premises (@p99) :args ((or @t53 @t48 @t75 @t70 @t78 @t62 (not @t79)))) % 0.39/0.60 (step @p101 :rule chain_m_resolution :premises (@p100 @p67 @p98 @p88 @p81 @p73 @p34) :args (@t78 (@list false false true true true false) (@list @t52 @t47 @t75 @t70 @t62 @t79))) % 0.39/0.60 (step @p102 :rule cnf_or_pos :args (@t83)) % 0.39/0.60 (step @p103 :rule reordering :premises (@p102) :args ((or @t53 @t82 @t81 (not @t83)))) % 0.39/0.60 (step @p104 :rule chain_m_resolution :premises (@p103 @p67 @p101 @p24) :args (@t81 (@list false false false) (@list @t52 @t78 @t83))) % 0.39/0.60 (step @p105 :rule cnf_and_pos :args (@t81 1)) % 0.39/0.60 (step @p106 :rule reordering :premises (@p105) :args ((or @t80 (not @t81)))) % 0.39/0.60 (step @p107 :rule chain_m_resolution :premises (@p106 @p104) :args (@t80 (@list false) (@list @t81))) % 0.39/0.60 (assume-push @p114 @t3) % 0.39/0.60 (step @p109 :rule instantiate :premises (@p1) :args ((@list @t41))) % 0.39/0.60 (step-pop @p115 :rule scope :premises (@p109)) % 0.39/0.60 (step @p110 :rule process_scope :premises (@p115) :args ((not @t80))) % 0.39/0.60 (step @p112 :rule implies_elim :premises (@p110)) % 0.39/0.60 (step @p113 false :rule chain_m_resolution :premises (@p112 @p107 @p1) :args (false (@list false false) (@list @t80 @t3))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------