%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO203+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 : n003.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 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO203+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 23:39:59 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.61 (define @t2 () (@list @t1)) % 0.39/0.61 (define @t3 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.39/0.61 (define @t4 () (@var "Z" $$unsorted)) % 0.39/0.61 (define @t5 () (@var "Y" $$unsorted)) % 0.39/0.61 (define @t6 () (tptp.distinct_points @t5 @t4)) % 0.39/0.61 (define @t7 () (tptp.distinct_points @t1 @t4)) % 0.39/0.61 (define @t8 () (or @t7 @t6)) % 0.39/0.61 (define @t9 () (tptp.distinct_points @t1 @t5)) % 0.39/0.61 (define @t10 () (@list @t1 @t5 @t4)) % 0.39/0.61 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.39/0.61 (define @t12 () (tptp.distinct_lines @t5 @t4)) % 0.39/0.61 (define @t13 () (tptp.distinct_lines @t1 @t5)) % 0.39/0.61 (define @t14 () (tptp.convergent_lines @t1 @t4)) % 0.39/0.61 (define @t15 () (tptp.convergent_lines @t1 @t5)) % 0.39/0.61 (define @t16 () (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5))) % 0.39/0.61 (define @t17 () (tptp.apart_point_and_line @t4 (tptp.line_connecting @t1 @t5))) % 0.39/0.61 (define @t18 () (=> @t17 @t16)) % 0.39/0.61 (define @t19 () (forall @t10 (=> @t9 @t18))) % 0.39/0.61 (define @t20 () (tptp.intersection_point @t1 @t5)) % 0.39/0.61 (define @t21 () (tptp.distinct_points @t4 @t20)) % 0.39/0.61 (define @t22 () (tptp.apart_point_and_line @t4 @t5)) % 0.39/0.61 (define @t23 () (tptp.apart_point_and_line @t4 @t1)) % 0.39/0.61 (define @t24 () (or @t23 @t22)) % 0.39/0.61 (define @t25 () (=> @t24 @t21)) % 0.39/0.61 (define @t26 () (forall @t10 (=> @t15 @t25))) % 0.39/0.61 (define @t27 () (@var "V" $$unsorted)) % 0.39/0.61 (define @t28 () (tptp.apart_point_and_line @t5 @t27)) % 0.39/0.61 (define @t29 () (@var "U" $$unsorted)) % 0.39/0.61 (define @t30 () (tptp.apart_point_and_line @t5 @t29)) % 0.39/0.61 (define @t31 () (tptp.apart_point_and_line @t1 @t27)) % 0.39/0.61 (define @t32 () (tptp.apart_point_and_line @t1 @t29)) % 0.39/0.61 (define @t33 () (or @t32 @t31 @t30 @t28)) % 0.39/0.61 (define @t34 () (tptp.distinct_lines @t29 @t27)) % 0.39/0.61 (define @t35 () (and @t9 @t34)) % 0.39/0.61 (define @t36 () (forall (@list @t1 @t5 @t29 @t27) (=> @t35 @t33))) % 0.39/0.61 (define @t37 () (tptp.apart_point_and_line @t1 @t5)) % 0.39/0.61 (define @t38 () (tptp.intersection_point @t1 @t4)) % 0.39/0.61 (define @t39 () (not (tptp.distinct_lines (tptp.line_connecting @t20 @t38) @t1))) % 0.39/0.61 (define @t40 () (tptp.distinct_points @t20 @t38)) % 0.39/0.61 (define @t41 () (and @t15 @t14 @t40)) % 0.39/0.61 (define @t42 () (forall @t10 (=> @t41 @t39))) % 0.39/0.61 (define @t43 () (not @t42)) % 0.39/0.61 (define @t44 () (not @t40)) % 0.39/0.61 (define @t45 () (not @t14)) % 0.39/0.61 (define @t46 () (not @t15)) % 0.39/0.61 (define @t47 () (or @t46 @t45 @t44 @t39)) % 0.39/0.61 (define @t48 () (or @t46 @t45 @t44)) % 0.39/0.61 (define @t49 () (forall @t10 @t47)) % 0.39/0.61 (define @t50 () (@quantifiers_skolemize @t49 2)) % 0.39/0.61 (define @t51 () (@quantifiers_skolemize @t49 0)) % 0.39/0.61 (define @t52 () (tptp.intersection_point @t51 @t50)) % 0.39/0.61 (define @t53 () (@quantifiers_skolemize @t49 1)) % 0.39/0.61 (define @t54 () (tptp.intersection_point @t51 @t53)) % 0.39/0.61 (define @t55 () (tptp.distinct_points @t54 @t52)) % 0.39/0.61 (define @t56 () (tptp.line_connecting @t54 @t52)) % 0.39/0.61 (define @t57 () (tptp.distinct_lines @t56 @t51)) % 0.39/0.61 (define @t58 () (not @t57)) % 0.39/0.61 (define @t59 () (not @t55)) % 0.39/0.61 (define @t60 () (tptp.convergent_lines @t51 @t50)) % 0.39/0.61 (define @t61 () (not @t60)) % 0.39/0.61 (define @t62 () (tptp.convergent_lines @t51 @t53)) % 0.39/0.61 (define @t63 () (not @t62)) % 0.39/0.61 (define @t64 () (or @t63 @t61 @t59 @t58)) % 0.39/0.61 (define @t65 () (@list true)) % 0.39/0.61 (define @t66 () (@list @t64)) % 0.39/0.61 (define @t67 () (not @t17)) % 0.39/0.61 (define @t68 () (not @t9)) % 0.39/0.61 (define @t69 () (tptp.distinct_points @t52 @t52)) % 0.39/0.61 (define @t70 () (tptp.distinct_points @t52 @t54)) % 0.39/0.61 (define @t71 () (and @t70 @t69)) % 0.39/0.61 (define @t72 () (tptp.apart_point_and_line @t52 @t56)) % 0.39/0.61 (define @t73 () (not @t72)) % 0.39/0.61 (define @t74 () (or @t59 @t73 @t71)) % 0.39/0.61 (define @t75 () (@list @t54 @t52 @t54)) % 0.39/0.61 (define @t76 () (tptp.distinct_points @t54 @t54)) % 0.39/0.61 (define @t77 () (or @t59 @t76 @t70)) % 0.39/0.61 (define @t78 () (@list false true false)) % 0.39/0.61 (define @t79 () (not @t34)) % 0.39/0.61 (define @t80 () (and @t76 @t55)) % 0.39/0.61 (define @t81 () (not @t80)) % 0.39/0.61 (define @t82 () (tptp.apart_point_and_line @t54 @t56)) % 0.39/0.61 (define @t83 () (not @t82)) % 0.39/0.61 (define @t84 () (or @t59 @t83 @t80)) % 0.39/0.61 (define @t85 () (and (not @t23) (not @t22))) % 0.39/0.61 (define @t86 () (tptp.apart_point_and_line @t54 @t51)) % 0.39/0.61 (define @t87 () (not @t86)) % 0.39/0.61 (define @t88 () (and @t87 (not (tptp.apart_point_and_line @t54 @t53)))) % 0.39/0.61 (define @t89 () (or @t63 @t88 @t76)) % 0.39/0.61 (define @t90 () (@list false)) % 0.39/0.61 (define @t91 () (tptp.apart_point_and_line @t52 @t51)) % 0.39/0.61 (define @t92 () (or @t59 @t58 @t82 @t86 @t72 @t91)) % 0.39/0.61 (define @t93 () (not @t91)) % 0.39/0.61 (define @t94 () (and @t93 (not (tptp.apart_point_and_line @t52 @t50)))) % 0.39/0.61 (define @t95 () (or @t61 @t94 @t69)) % 0.39/0.61 (assume @p1 @t3) % 0.39/0.61 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.61 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.39/0.61 (assume @p4 @t11) % 0.39/0.61 (assume @p5 (forall @t10 (=> @t13 (or (tptp.distinct_lines @t1 @t4) @t12)))) % 0.39/0.61 (assume @p6 (forall @t10 (=> @t15 (or @t14 (tptp.convergent_lines @t5 @t4))))) % 0.39/0.61 (assume @p7 @t19) % 0.39/0.61 (assume @p8 @t26) % 0.39/0.61 (assume @p9 @t36) % 0.39/0.61 (assume @p10 (forall @t10 (=> @t37 (or @t7 @t22)))) % 0.39/0.61 (assume @p11 (forall @t10 (=> @t37 (or @t12 (tptp.apart_point_and_line @t1 @t4))))) % 0.39/0.61 (assume @p12 (forall (@list @t1 @t5) (=> @t15 @t13))) % 0.39/0.61 (assume @p13 @t43) % 0.39/0.61 (assume @p14 true) % 0.39/0.61 (step @p15 :rule aci_norm :args ((= (or @t48 @t39) @t47))) % 0.39/0.61 (step @p16 :rule refl :args (@t39)) % 0.39/0.61 (step @p17 :rule aci_norm :args ((= (or @t46 (or @t45 @t44)) @t48))) % 0.39/0.61 (step @p18 :rule bool-and-de-morgan :args (@t14 @t40 true)) % 0.39/0.61 (step @p19 :rule refl :args (@t46)) % 0.39/0.61 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t46 (not (and @t14 @t40))))) % 0.39/0.61 (step @p21 :rule bool-and-de-morgan :args (@t15 @t14 (and @t40))) % 0.39/0.61 (step @p22 :rule trans :premises (@p21 @p20)) % 0.39/0.61 (step @p23 :rule trans :premises (@p22 @p17)) % 0.39/0.61 (step @p24 :rule nary_cong :premises (@p23 @p16) :args ((or (not @t41) @t39))) % 0.39/0.61 (step @p25 :rule trans :premises (@p24 @p15)) % 0.39/0.61 (step @p26 :rule bool-impl-elim :args (@t41 @t39)) % 0.39/0.61 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.61 (step @p28 :rule cong :premises (@p27) :args (@t42)) % 0.39/0.61 (step @p29 :rule cong :premises (@p28) :args (@t43)) % 0.39/0.61 (step @p30 :rule eq_resolve :premises (@p13 @p29)) % 0.39/0.61 (step @p31 :rule skolemize :premises (@p30)) % 0.39/0.61 (step @p32 :rule bool-double-not-elim :args (@t55)) % 0.39/0.61 (step @p33 :rule refl :args (@t64)) % 0.39/0.61 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t64 (not @t59)))) % 0.39/0.61 (step @p35 :rule cnf_or_neg :args (@t64 2)) % 0.39/0.61 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.39/0.61 (step @p37 :rule reordering :premises (@p36) :args ((or @t55 @t64))) % 0.39/0.61 (step @p38 :rule chain_m_resolution :premises (@p37 @p31) :args (@t55 @t65 @t66)) % 0.39/0.61 (step @p39 :rule aci_norm :args ((= (or @t68 (or @t67 @t16)) (or @t68 @t67 @t16)))) % 0.39/0.61 (step @p40 :rule bool-impl-elim :args (@t17 @t16)) % 0.39/0.61 (step @p41 :rule refl :args (@t68)) % 0.39/0.61 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t68 @t18))) % 0.39/0.61 (step @p43 :rule trans :premises (@p42 @p39)) % 0.39/0.61 (step @p44 :rule bool-impl-elim :args (@t9 @t18)) % 0.39/0.61 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.61 (step @p46 :rule cong :premises (@p45) :args (@t19)) % 0.39/0.61 (step @p47 :rule eq_resolve :premises (@p7 @p46)) % 0.39/0.61 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t54 @t52 @t52))) % 0.39/0.61 (step @p49 :rule cnf_or_pos :args (@t74)) % 0.39/0.61 (step @p50 :rule reordering :premises (@p49) :args ((or @t59 @t73 @t71 (not @t74)))) % 0.39/0.61 (step @p51 :rule aci_norm :args ((= (or @t68 @t8) (or @t68 @t7 @t6)))) % 0.39/0.61 (step @p52 :rule bool-impl-elim :args (@t9 @t8)) % 0.39/0.61 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.61 (step @p54 :rule cong :premises (@p53) :args (@t11)) % 0.39/0.61 (step @p55 :rule eq_resolve :premises (@p4 @p54)) % 0.39/0.61 (step @p56 :rule instantiate :premises (@p55) :args (@t75)) % 0.39/0.61 (step @p57 :rule instantiate :premises (@p1) :args ((@list @t54))) % 0.39/0.61 (step @p58 :rule cnf_or_pos :args (@t77)) % 0.39/0.61 (step @p59 :rule reordering :premises (@p58) :args ((or @t59 @t76 @t70 (not @t77)))) % 0.39/0.61 (step @p60 :rule chain_m_resolution :premises (@p59 @p38 @p57 @p56) :args (@t70 @t78 (@list @t55 @t76 @t77))) % 0.39/0.61 (step @p61 :rule cnf_and_neg :args (@t71)) % 0.39/0.61 (step @p62 :rule bool-double-not-elim :args (@t57)) % 0.39/0.61 (step @p63 :rule nary_cong :premises (@p33 @p62) :args ((or @t64 (not @t58)))) % 0.39/0.61 (step @p64 :rule cnf_or_neg :args (@t64 3)) % 0.39/0.61 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.39/0.61 (step @p66 :rule reordering :premises (@p65) :args ((or @t57 @t64))) % 0.39/0.61 (step @p67 :rule chain_m_resolution :premises (@p66 @p31) :args (@t57 @t65 @t66)) % 0.39/0.61 (step @p68 :rule aci_norm :args ((= (or (or @t68 @t79) @t33) (or @t68 @t79 @t32 @t31 @t30 @t28)))) % 0.39/0.61 (step @p69 :rule refl :args (@t33)) % 0.39/0.61 (step @p70 :rule bool-and-de-morgan :args (@t9 @t34 true)) % 0.39/0.61 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t35) @t33))) % 0.39/0.61 (step @p72 :rule trans :premises (@p71 @p68)) % 0.39/0.61 (step @p73 :rule bool-impl-elim :args (@t35 @t33)) % 0.39/0.61 (step @p74 :rule trans :premises (@p73 @p72)) % 0.39/0.61 (step @p75 :rule cong :premises (@p74) :args (@t36)) % 0.39/0.61 (step @p76 :rule eq_resolve :premises (@p9 @p75)) % 0.39/0.61 (step @p77 :rule instantiate :premises (@p76) :args ((@list @t54 @t52 @t56 @t51))) % 0.39/0.61 (step @p78 :rule instantiate :premises (@p47) :args (@t75)) % 0.39/0.61 (step @p79 :rule cnf_and_pos :args (@t80 0)) % 0.39/0.61 (step @p80 :rule reordering :premises (@p79) :args ((or @t76 @t81))) % 0.39/0.61 (step @p81 :rule chain_m_resolution :premises (@p80 @p57) :args (@t81 @t65 (@list @t76))) % 0.39/0.61 (step @p82 :rule cnf_or_pos :args (@t84)) % 0.39/0.61 (step @p83 :rule reordering :premises (@p82) :args ((or @t59 @t83 @t80 (not @t84)))) % 0.39/0.61 (step @p84 :rule chain_m_resolution :premises (@p83 @p38 @p81 @p78) :args (@t83 @t78 (@list @t55 @t80 @t84))) % 0.39/0.61 (step @p85 :rule aci_norm :args ((= (or @t46 (or @t85 @t21)) (or @t46 @t85 @t21)))) % 0.39/0.61 (step @p86 :rule refl :args (@t21)) % 0.39/0.61 (step @p87 :rule bool-or-de-morgan :args (@t23 @t22 false)) % 0.39/0.61 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t24) @t21))) % 0.39/0.61 (step @p89 :rule bool-impl-elim :args (@t24 @t21)) % 0.39/0.61 (step @p90 :rule trans :premises (@p89 @p88)) % 0.39/0.61 (step @p91 :rule nary_cong :premises (@p19 @p90) :args ((or @t46 @t25))) % 0.39/0.61 (step @p92 :rule trans :premises (@p91 @p85)) % 0.39/0.61 (step @p93 :rule bool-impl-elim :args (@t15 @t25)) % 0.39/0.61 (step @p94 :rule trans :premises (@p93 @p92)) % 0.39/0.61 (step @p95 :rule cong :premises (@p94) :args (@t26)) % 0.39/0.61 (step @p96 :rule eq_resolve :premises (@p8 @p95)) % 0.39/0.61 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t51 @t53 @t54))) % 0.39/0.61 (step @p98 :rule bool-double-not-elim :args (@t62)) % 0.39/0.61 (step @p99 :rule nary_cong :premises (@p33 @p98) :args ((or @t64 (not @t63)))) % 0.39/0.61 (step @p100 :rule cnf_or_neg :args (@t64 0)) % 0.39/0.61 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.39/0.61 (step @p102 :rule reordering :premises (@p101) :args ((or @t62 @t64))) % 0.39/0.61 (step @p103 :rule chain_m_resolution :premises (@p102 @p31) :args (@t62 @t65 @t66)) % 0.39/0.61 (step @p104 :rule cnf_or_pos :args (@t89)) % 0.39/0.61 (step @p105 :rule reordering :premises (@p104) :args ((or @t63 @t76 @t88 (not @t89)))) % 0.39/0.61 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p57 @p97) :args (@t88 @t78 (@list @t62 @t76 @t89))) % 0.39/0.61 (step @p107 :rule cnf_and_pos :args (@t88 0)) % 0.39/0.61 (step @p108 :rule reordering :premises (@p107) :args ((or @t87 (not @t88)))) % 0.39/0.61 (step @p109 :rule chain_m_resolution :premises (@p108 @p106) :args (@t87 @t90 (@list @t88))) % 0.39/0.61 (step @p110 :rule cnf_or_pos :args (@t92)) % 0.39/0.61 (step @p111 :rule reordering :premises (@p110) :args ((or @t59 @t58 @t82 @t86 @t72 @t91 (not @t92)))) % 0.39/0.61 (step @p112 :rule bool-double-not-elim :args (@t60)) % 0.39/0.61 (step @p113 :rule nary_cong :premises (@p33 @p112) :args ((or @t64 (not @t61)))) % 0.39/0.61 (step @p114 :rule cnf_or_neg :args (@t64 1)) % 0.39/0.61 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.39/0.61 (step @p116 :rule reordering :premises (@p115) :args ((or @t60 @t64))) % 0.39/0.61 (step @p117 :rule chain_m_resolution :premises (@p116 @p31) :args (@t60 @t65 @t66)) % 0.39/0.61 (step @p118 :rule instantiate :premises (@p96) :args ((@list @t51 @t50 @t52))) % 0.39/0.61 (step @p119 :rule cnf_or_pos :args (@t95)) % 0.39/0.61 (step @p120 :rule reordering :premises (@p119) :args ((or @t61 @t69 @t94 (not @t95)))) % 0.39/0.61 (step @p121 :rule cnf_and_pos :args (@t94 0)) % 0.39/0.61 (step @p122 :rule reordering :premises (@p121) :args ((or @t93 (not @t94)))) % 0.39/0.61 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p118 @p117 @p111 @p109 @p84 @p77 @p67 @p38 @p61 @p60 @p50 @p48 @p38) :args (@t71 (@list false false false false true true false false false true false true false false) (@list @t94 @t95 @t60 @t91 @t86 @t82 @t92 @t57 @t55 @t69 @t70 @t72 @t74 @t55))) % 0.39/0.62 (step @p124 :rule cnf_and_pos :args (@t71 1)) % 0.39/0.62 (step @p125 :rule reordering :premises (@p124) :args ((or @t69 (not @t71)))) % 0.39/0.62 (step @p126 :rule chain_m_resolution :premises (@p125 @p123) :args (@t69 @t90 (@list @t71))) % 0.39/0.62 (assume-push @p133 @t3) % 0.39/0.62 (step @p128 :rule instantiate :premises (@p1) :args ((@list @t52))) % 0.39/0.62 (step-pop @p134 :rule scope :premises (@p128)) % 0.39/0.62 (step @p129 :rule process_scope :premises (@p134) :args ((not @t69))) % 0.39/0.62 (step @p131 :rule implies_elim :premises (@p129)) % 0.39/0.62 (step @p132 false :rule chain_m_resolution :premises (@p131 @p126 @p1) :args (false (@list false false) (@list @t69 @t3))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------