%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO173+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO173+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 23:38:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.line (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.point (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t2 () (@list @t1)) % 0.39/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.39/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.39/0.58 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.39/0.58 (define @t7 () (@list @t1 @t4 @t3)) % 0.39/0.58 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.39/0.58 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.39/0.58 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.39/0.58 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.39/0.58 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.39/0.58 (define @t13 () (tptp.line_connecting @t1 @t4)) % 0.39/0.58 (define @t14 () (not (tptp.apart_point_and_line @t1 @t13))) % 0.39/0.58 (define @t15 () (@list @t1 @t4)) % 0.39/0.58 (define @t16 () (forall @t15 (=> @t6 @t14))) % 0.39/0.58 (define @t17 () (not (tptp.apart_point_and_line @t4 @t13))) % 0.39/0.59 (define @t18 () (forall @t15 (=> @t6 @t17))) % 0.39/0.59 (define @t19 () (tptp.intersection_point @t1 @t4)) % 0.39/0.59 (define @t20 () (@var "V" $$unsorted)) % 0.39/0.59 (define @t21 () (tptp.apart_point_and_line @t4 @t20)) % 0.39/0.59 (define @t22 () (@var "U" $$unsorted)) % 0.39/0.59 (define @t23 () (tptp.apart_point_and_line @t4 @t22)) % 0.39/0.59 (define @t24 () (tptp.apart_point_and_line @t1 @t20)) % 0.39/0.59 (define @t25 () (tptp.apart_point_and_line @t1 @t22)) % 0.39/0.59 (define @t26 () (or @t25 @t24 @t23 @t21)) % 0.39/0.59 (define @t27 () (tptp.distinct_lines @t22 @t20)) % 0.39/0.59 (define @t28 () (and @t6 @t27)) % 0.39/0.59 (define @t29 () (@list @t1 @t4 @t22 @t20)) % 0.39/0.59 (define @t30 () (forall @t29 (=> @t28 @t26))) % 0.39/0.59 (define @t31 () (tptp.apart_point_and_line @t1 @t4)) % 0.39/0.59 (define @t32 () (tptp.apart_point_and_line @t1 @t3)) % 0.39/0.59 (define @t33 () (tptp.parallel_through_point @t4 @t1)) % 0.39/0.59 (define @t34 () (@var "M" $$unsorted)) % 0.39/0.59 (define @t35 () (@var "L" $$unsorted)) % 0.39/0.59 (define @t36 () (tptp.unorthogonal_lines @t35 @t34)) % 0.39/0.59 (define @t37 () (tptp.convergent_lines @t35 @t34)) % 0.39/0.59 (define @t38 () (@list @t35 @t34)) % 0.39/0.59 (define @t39 () (@var "N" $$unsorted)) % 0.39/0.59 (define @t40 () (tptp.unorthogonal_lines @t34 @t39)) % 0.39/0.59 (define @t41 () (tptp.convergent_lines @t34 @t39)) % 0.39/0.59 (define @t42 () (tptp.unorthogonal_lines @t35 @t39)) % 0.39/0.59 (define @t43 () (tptp.convergent_lines @t35 @t39)) % 0.39/0.59 (define @t44 () (@list @t35 @t34 @t39)) % 0.39/0.59 (define @t45 () (@var "A" $$unsorted)) % 0.39/0.59 (define @t46 () (tptp.orthogonal_through_point @t35 @t45)) % 0.39/0.59 (define @t47 () (@list @t45 @t35)) % 0.39/0.59 (define @t48 () (not @t36)) % 0.39/0.59 (define @t49 () (not @t37)) % 0.39/0.59 (define @t50 () (not @t41)) % 0.39/0.59 (define @t51 () (not @t42)) % 0.39/0.59 (define @t52 () (@var "B" $$unsorted)) % 0.39/0.59 (define @t53 () (tptp.point @t45)) % 0.39/0.59 (define @t54 () (tptp.line @t35)) % 0.39/0.59 (define @t55 () (and @t54 @t53)) % 0.39/0.59 (define @t56 () (@list @t35 @t45)) % 0.39/0.59 (define @t57 () (not @t6)) % 0.39/0.59 (define @t58 () (or @t25 @t23)) % 0.39/0.59 (define @t59 () (tptp.distinct_lines @t22 @t13)) % 0.39/0.59 (define @t60 () (tptp.convergent_lines @t22 @t20)) % 0.39/0.59 (define @t61 () (and @t6 @t60 @t59)) % 0.39/0.59 (define @t62 () (forall @t29 (=> @t61 @t58))) % 0.39/0.59 (define @t63 () (not @t62)) % 0.39/0.59 (define @t64 () (not @t59)) % 0.39/0.59 (define @t65 () (not @t60)) % 0.39/0.59 (define @t66 () (or @t57 @t65 @t64 @t25 @t23)) % 0.39/0.59 (define @t67 () (or @t57 @t65 @t64)) % 0.39/0.59 (define @t68 () (forall @t29 @t66)) % 0.39/0.59 (define @t69 () (@quantifiers_skolemize @t68 1)) % 0.39/0.59 (define @t70 () (@quantifiers_skolemize @t68 0)) % 0.39/0.59 (define @t71 () (tptp.distinct_points @t70 @t69)) % 0.39/0.59 (define @t72 () (@quantifiers_skolemize @t68 2)) % 0.39/0.59 (define @t73 () (tptp.apart_point_and_line @t69 @t72)) % 0.39/0.59 (define @t74 () (tptp.apart_point_and_line @t70 @t72)) % 0.39/0.59 (define @t75 () (tptp.line_connecting @t70 @t69)) % 0.39/0.59 (define @t76 () (tptp.distinct_lines @t72 @t75)) % 0.39/0.59 (define @t77 () (not @t76)) % 0.39/0.59 (define @t78 () (not @t71)) % 0.39/0.59 (define @t79 () (or @t78 (not (tptp.convergent_lines @t72 (@quantifiers_skolemize @t68 3))) @t77 @t74 @t73)) % 0.39/0.59 (define @t80 () (@list true)) % 0.39/0.59 (define @t81 () (@list @t79)) % 0.39/0.59 (define @t82 () (not @t27)) % 0.39/0.59 (define @t83 () (@list @t70 @t69)) % 0.39/0.59 (define @t84 () (tptp.apart_point_and_line @t70 @t75)) % 0.39/0.59 (define @t85 () (not @t84)) % 0.39/0.59 (define @t86 () (or @t78 @t85)) % 0.39/0.59 (define @t87 () (@list false false)) % 0.39/0.59 (define @t88 () (tptp.apart_point_and_line @t69 @t75)) % 0.39/0.59 (define @t89 () (not @t88)) % 0.39/0.59 (define @t90 () (or @t78 @t89)) % 0.39/0.59 (define @t91 () (or @t78 @t77 @t74 @t84 @t73 @t88)) % 0.39/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 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 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.39/0.59 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.39/0.59 (assume @p6 (forall @t7 (=> @t12 (or @t11 @t10)))) % 0.39/0.59 (assume @p7 @t16) % 0.39/0.59 (assume @p8 @t18) % 0.39/0.59 (assume @p9 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t19 @t1))))) % 0.39/0.59 (assume @p10 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t19 @t4))))) % 0.39/0.59 (assume @p11 @t30) % 0.39/0.59 (assume @p12 (forall @t7 (=> @t31 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.39/0.59 (assume @p13 (forall @t7 (=> @t31 (or @t8 @t32)))) % 0.39/0.59 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t11)))) % 0.39/0.59 (assume @p15 (forall @t15 (=> @t9 @t12))) % 0.39/0.59 (assume @p16 (forall @t15 (not (tptp.convergent_lines @t33 @t4)))) % 0.39/0.59 (assume @p17 (forall @t15 (not (tptp.apart_point_and_line @t1 @t33)))) % 0.39/0.59 (assume @p18 (forall @t7 (=> @t8 (or @t31 @t32 @t10)))) % 0.39/0.59 (assume @p19 (forall @t38 (or @t37 @t36))) % 0.39/0.59 (assume @p20 (forall @t44 (=> (and @t37 @t36) (or (and @t43 @t42) (and @t41 @t40))))) % 0.39/0.59 (assume @p21 (forall @t47 (not (tptp.unorthogonal_lines @t46 @t35)))) % 0.39/0.59 (assume @p22 (forall @t47 (not (tptp.apart_point_and_line @t45 @t46)))) % 0.39/0.59 (assume @p23 (forall (@list @t45 @t35 @t34 @t39) (=> (tptp.distinct_lines @t35 @t34) (or (tptp.apart_point_and_line @t45 @t35) (tptp.apart_point_and_line @t45 @t34) @t42 @t40)))) % 0.39/0.59 (assume @p24 (forall @t38 (not (and @t49 @t48)))) % 0.39/0.59 (assume @p25 (forall @t44 (=> (and (or @t49 @t48) (or (not @t43) @t51)) (or @t50 (not @t40))))) % 0.39/0.59 (assume @p26 (forall @t44 (=> (and @t48 @t51) @t50))) % 0.39/0.59 (assume @p27 (forall (@list @t45 @t52) (=> (and @t53 (tptp.point @t52) (tptp.distinct_points @t45 @t52)) (tptp.line (tptp.line_connecting @t45 @t52))))) % 0.39/0.59 (assume @p28 (forall @t38 (=> (and @t54 (tptp.line @t34) @t37) (tptp.point (tptp.intersection_point @t35 @t34))))) % 0.39/0.59 (assume @p29 (forall @t56 (=> @t55 (tptp.line (tptp.parallel_through_point @t35 @t45))))) % 0.39/0.59 (assume @p30 (forall @t56 (=> @t55 (tptp.line @t46)))) % 0.39/0.59 (assume @p31 (forall @t15 (= (tptp.equal_points @t1 @t4) @t57))) % 0.39/0.59 (assume @p32 (forall @t15 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.39/0.59 (assume @p33 (forall @t15 (= (tptp.parallel_lines @t1 @t4) (not @t12)))) % 0.39/0.59 (assume @p34 (forall @t15 (= (tptp.incident_point_and_line @t1 @t4) (not @t31)))) % 0.39/0.59 (assume @p35 (forall @t15 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.39/0.59 (assume @p36 @t63) % 0.39/0.59 (assume @p37 true) % 0.39/0.59 (step @p38 :rule aci_norm :args ((= (or @t67 @t58) @t66))) % 0.39/0.59 (step @p39 :rule refl :args (@t58)) % 0.39/0.59 (step @p40 :rule aci_norm :args ((= (or @t57 (or @t65 @t64)) @t67))) % 0.39/0.59 (step @p41 :rule bool-and-de-morgan :args (@t60 @t59 true)) % 0.39/0.59 (step @p42 :rule refl :args (@t57)) % 0.39/0.59 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t57 (not (and @t60 @t59))))) % 0.39/0.59 (step @p44 :rule bool-and-de-morgan :args (@t6 @t60 (and @t59))) % 0.39/0.59 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.59 (step @p46 :rule trans :premises (@p45 @p40)) % 0.39/0.59 (step @p47 :rule nary_cong :premises (@p46 @p39) :args ((or (not @t61) @t58))) % 0.39/0.59 (step @p48 :rule trans :premises (@p47 @p38)) % 0.39/0.59 (step @p49 :rule bool-impl-elim :args (@t61 @t58)) % 0.39/0.59 (step @p50 :rule trans :premises (@p49 @p48)) % 0.39/0.59 (step @p51 :rule cong :premises (@p50) :args (@t62)) % 0.39/0.59 (step @p52 :rule cong :premises (@p51) :args (@t63)) % 0.39/0.59 (step @p53 :rule eq_resolve :premises (@p36 @p52)) % 0.39/0.59 (step @p54 :rule skolemize :premises (@p53)) % 0.39/0.59 (step @p55 :rule bool-double-not-elim :args (@t71)) % 0.39/0.59 (step @p56 :rule refl :args (@t79)) % 0.39/0.59 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t79 (not @t78)))) % 0.39/0.59 (step @p58 :rule cnf_or_neg :args (@t79 0)) % 0.39/0.59 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.39/0.59 (step @p60 :rule reordering :premises (@p59) :args ((or @t71 @t79))) % 0.39/0.59 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t71 @t80 @t81)) % 0.39/0.59 (step @p62 :rule bool-double-not-elim :args (@t76)) % 0.39/0.59 (step @p63 :rule nary_cong :premises (@p56 @p62) :args ((or @t79 (not @t77)))) % 0.39/0.59 (step @p64 :rule cnf_or_neg :args (@t79 2)) % 0.39/0.59 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.39/0.59 (step @p66 :rule reordering :premises (@p65) :args ((or @t76 @t79))) % 0.39/0.59 (step @p67 :rule chain_m_resolution :premises (@p66 @p54) :args (@t76 @t80 @t81)) % 0.39/0.59 (step @p68 :rule cnf_or_neg :args (@t79 3)) % 0.39/0.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p54) :args ((not @t74) @t80 @t81)) % 0.39/0.59 (step @p70 :rule cnf_or_neg :args (@t79 4)) % 0.39/0.59 (step @p71 :rule chain_m_resolution :premises (@p70 @p54) :args ((not @t73) @t80 @t81)) % 0.39/0.59 (step @p72 :rule aci_norm :args ((= (or (or @t57 @t82) @t26) (or @t57 @t82 @t25 @t24 @t23 @t21)))) % 0.39/0.59 (step @p73 :rule refl :args (@t26)) % 0.39/0.59 (step @p74 :rule bool-and-de-morgan :args (@t6 @t27 true)) % 0.39/0.59 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t28) @t26))) % 0.39/0.59 (step @p76 :rule trans :premises (@p75 @p72)) % 0.39/0.59 (step @p77 :rule bool-impl-elim :args (@t28 @t26)) % 0.39/0.59 (step @p78 :rule trans :premises (@p77 @p76)) % 0.39/0.59 (step @p79 :rule cong :premises (@p78) :args (@t30)) % 0.39/0.59 (step @p80 :rule eq_resolve :premises (@p11 @p79)) % 0.39/0.59 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t70 @t69 @t72 @t75))) % 0.39/0.59 (step @p82 :rule bool-impl-elim :args (@t6 @t14)) % 0.39/0.59 (step @p83 :rule cong :premises (@p82) :args (@t16)) % 0.39/0.59 (step @p84 :rule eq_resolve :premises (@p7 @p83)) % 0.39/0.59 (step @p85 :rule instantiate :premises (@p84) :args (@t83)) % 0.39/0.59 (step @p86 :rule cnf_or_pos :args (@t86)) % 0.39/0.59 (step @p87 :rule reordering :premises (@p86) :args ((or @t78 @t85 (not @t86)))) % 0.39/0.59 (step @p88 :rule chain_m_resolution :premises (@p87 @p61 @p85) :args (@t85 @t87 (@list @t71 @t86))) % 0.39/0.59 (step @p89 :rule bool-impl-elim :args (@t6 @t17)) % 0.39/0.59 (step @p90 :rule cong :premises (@p89) :args (@t18)) % 0.39/0.59 (step @p91 :rule eq_resolve :premises (@p8 @p90)) % 0.39/0.59 (step @p92 :rule instantiate :premises (@p91) :args (@t83)) % 0.39/0.59 (step @p93 :rule cnf_or_pos :args (@t90)) % 0.39/0.59 (step @p94 :rule reordering :premises (@p93) :args ((or @t78 @t89 (not @t90)))) % 0.39/0.59 (step @p95 :rule chain_m_resolution :premises (@p94 @p61 @p92) :args (@t89 @t87 (@list @t71 @t90))) % 0.39/0.59 (step @p96 :rule cnf_or_pos :args (@t91)) % 0.39/0.59 (step @p97 :rule reordering :premises (@p96) :args ((or @t78 @t77 @t74 @t73 @t84 @t88 (not @t91)))) % 0.39/0.59 (step @p98 false :rule chain_m_resolution :premises (@p97 @p95 @p88 @p81 @p71 @p69 @p67 @p61) :args (false (@list true true false true true false false) (@list @t88 @t84 @t91 @t73 @t74 @t76 @t71))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------