%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO178+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 : n004.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 08:16:34 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 : GEO178+3 : TPTP v9.2.1. Released v4.0.0. % 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 : n004.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 23:38:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----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 $$unsorted 0) % 0.37/0.57 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.line (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.point (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.equal_lines (-> $$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.distinct_lines @t1 @t4)) % 0.37/0.57 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.37/0.57 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.37/0.57 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.37/0.57 (define @t13 () (tptp.line_connecting @t1 @t4)) % 0.37/0.57 (define @t14 () (not (tptp.apart_point_and_line @t1 @t13))) % 0.37/0.57 (define @t15 () (@list @t1 @t4)) % 0.37/0.57 (define @t16 () (forall @t15 (=> @t6 @t14))) % 0.37/0.57 (define @t17 () (not (tptp.apart_point_and_line @t4 @t13))) % 0.37/0.57 (define @t18 () (forall @t15 (=> @t6 @t17))) % 0.37/0.57 (define @t19 () (tptp.intersection_point @t1 @t4)) % 0.37/0.57 (define @t20 () (@var "V" $$unsorted)) % 0.37/0.57 (define @t21 () (@var "U" $$unsorted)) % 0.37/0.57 (define @t22 () (tptp.apart_point_and_line @t3 @t4)) % 0.37/0.57 (define @t23 () (or @t5 @t22)) % 0.37/0.57 (define @t24 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.57 (define @t25 () (forall @t7 (=> @t24 @t23))) % 0.37/0.57 (define @t26 () (tptp.apart_point_and_line @t1 @t3)) % 0.37/0.57 (define @t27 () (tptp.parallel_through_point @t4 @t1)) % 0.37/0.57 (define @t28 () (@var "M" $$unsorted)) % 0.37/0.57 (define @t29 () (@var "L" $$unsorted)) % 0.37/0.57 (define @t30 () (tptp.unorthogonal_lines @t29 @t28)) % 0.37/0.57 (define @t31 () (tptp.convergent_lines @t29 @t28)) % 0.37/0.57 (define @t32 () (@list @t29 @t28)) % 0.37/0.57 (define @t33 () (@var "N" $$unsorted)) % 0.37/0.57 (define @t34 () (tptp.unorthogonal_lines @t28 @t33)) % 0.37/0.57 (define @t35 () (tptp.convergent_lines @t28 @t33)) % 0.37/0.57 (define @t36 () (tptp.unorthogonal_lines @t29 @t33)) % 0.37/0.57 (define @t37 () (tptp.convergent_lines @t29 @t33)) % 0.37/0.57 (define @t38 () (@list @t29 @t28 @t33)) % 0.37/0.57 (define @t39 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t40 () (tptp.orthogonal_through_point @t29 @t39)) % 0.37/0.57 (define @t41 () (@list @t39 @t29)) % 0.37/0.57 (define @t42 () (not @t30)) % 0.37/0.57 (define @t43 () (not @t31)) % 0.37/0.57 (define @t44 () (not @t35)) % 0.37/0.57 (define @t45 () (not @t36)) % 0.37/0.57 (define @t46 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t47 () (tptp.point @t39)) % 0.37/0.57 (define @t48 () (tptp.line @t29)) % 0.37/0.57 (define @t49 () (and @t48 @t47)) % 0.37/0.57 (define @t50 () (@list @t29 @t39)) % 0.37/0.57 (define @t51 () (not @t6)) % 0.37/0.57 (define @t52 () (not @t24)) % 0.37/0.57 (define @t53 () (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4))) % 0.37/0.57 (define @t54 () (tptp.apart_point_and_line @t3 @t13)) % 0.37/0.57 (define @t55 () (and @t6 @t54)) % 0.37/0.57 (define @t56 () (forall @t7 (=> @t55 @t53))) % 0.37/0.57 (define @t57 () (not @t56)) % 0.37/0.57 (define @t58 () (or @t52 @t5 @t22)) % 0.37/0.57 (define @t59 () (not @t54)) % 0.37/0.57 (define @t60 () (or @t51 @t59 @t53)) % 0.37/0.57 (define @t61 () (forall @t7 @t60)) % 0.37/0.57 (define @t62 () (@quantifiers_skolemize @t61 1)) % 0.37/0.57 (define @t63 () (@quantifiers_skolemize @t61 0)) % 0.37/0.57 (define @t64 () (@list @t63 @t62)) % 0.37/0.57 (define @t65 () (tptp.distinct_points @t63 @t62)) % 0.37/0.57 (define @t66 () (@quantifiers_skolemize @t61 2)) % 0.37/0.57 (define @t67 () (tptp.distinct_points @t66 @t62)) % 0.37/0.57 (define @t68 () (tptp.distinct_points @t66 @t63)) % 0.37/0.57 (define @t69 () (and @t68 @t67)) % 0.37/0.57 (define @t70 () (tptp.line_connecting @t63 @t62)) % 0.37/0.57 (define @t71 () (tptp.apart_point_and_line @t66 @t70)) % 0.37/0.57 (define @t72 () (not @t71)) % 0.37/0.57 (define @t73 () (not @t65)) % 0.37/0.57 (define @t74 () (or @t73 @t72 @t69)) % 0.37/0.57 (define @t75 () (@list true)) % 0.37/0.57 (define @t76 () (@list @t74)) % 0.37/0.57 (define @t77 () (tptp.apart_point_and_line @t62 @t70)) % 0.37/0.57 (define @t78 () (not @t77)) % 0.37/0.57 (define @t79 () (or @t73 @t78)) % 0.37/0.57 (define @t80 () (@list false false)) % 0.37/0.57 (define @t81 () (tptp.apart_point_and_line @t63 @t70)) % 0.37/0.57 (define @t82 () (not @t81)) % 0.37/0.57 (define @t83 () (or @t73 @t82)) % 0.37/0.57 (define @t84 () (or @t72 @t68 @t81)) % 0.37/0.57 (define @t85 () (@list true false)) % 0.37/0.57 (define @t86 () (or @t72 @t67 @t77)) % 0.37/0.57 (define @t87 () (not @t86)) % 0.37/0.57 (define @t88 () (forall @t7 @t58)) % 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 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.37/0.57 (assume @p6 (forall @t7 (=> @t12 (or @t11 @t10)))) % 0.37/0.57 (assume @p7 @t16) % 0.37/0.57 (assume @p8 @t18) % 0.37/0.57 (assume @p9 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t19 @t1))))) % 0.37/0.57 (assume @p10 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t19 @t4))))) % 0.37/0.57 (assume @p11 (forall (@list @t1 @t4 @t21 @t20) (=> (and @t6 (tptp.distinct_lines @t21 @t20)) (or (tptp.apart_point_and_line @t1 @t21) (tptp.apart_point_and_line @t1 @t20) (tptp.apart_point_and_line @t4 @t21) (tptp.apart_point_and_line @t4 @t20))))) % 0.37/0.57 (assume @p12 @t25) % 0.37/0.57 (assume @p13 (forall @t7 (=> @t24 (or @t8 @t26)))) % 0.37/0.57 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t11)))) % 0.37/0.57 (assume @p15 (forall @t15 (=> @t9 @t12))) % 0.37/0.57 (assume @p16 (forall @t15 (not (tptp.convergent_lines @t27 @t4)))) % 0.37/0.57 (assume @p17 (forall @t15 (not (tptp.apart_point_and_line @t1 @t27)))) % 0.37/0.57 (assume @p18 (forall @t7 (=> @t8 (or @t24 @t26 @t10)))) % 0.37/0.57 (assume @p19 (forall @t32 (or @t31 @t30))) % 0.37/0.57 (assume @p20 (forall @t38 (=> (and @t31 @t30) (or (and @t37 @t36) (and @t35 @t34))))) % 0.37/0.57 (assume @p21 (forall @t41 (not (tptp.unorthogonal_lines @t40 @t29)))) % 0.37/0.57 (assume @p22 (forall @t41 (not (tptp.apart_point_and_line @t39 @t40)))) % 0.37/0.57 (assume @p23 (forall (@list @t39 @t29 @t28 @t33) (=> (tptp.distinct_lines @t29 @t28) (or (tptp.apart_point_and_line @t39 @t29) (tptp.apart_point_and_line @t39 @t28) @t36 @t34)))) % 0.37/0.57 (assume @p24 (forall @t32 (not (and @t43 @t42)))) % 0.37/0.57 (assume @p25 (forall @t38 (=> (and (or @t43 @t42) (or (not @t37) @t45)) (or @t44 (not @t34))))) % 0.37/0.57 (assume @p26 (forall @t38 (=> (and @t42 @t45) @t44))) % 0.37/0.57 (assume @p27 (forall (@list @t39 @t46) (=> (and @t47 (tptp.point @t46) (tptp.distinct_points @t39 @t46)) (tptp.line (tptp.line_connecting @t39 @t46))))) % 0.37/0.57 (assume @p28 (forall @t32 (=> (and @t48 (tptp.line @t28) @t31) (tptp.point (tptp.intersection_point @t29 @t28))))) % 0.37/0.57 (assume @p29 (forall @t50 (=> @t49 (tptp.line (tptp.parallel_through_point @t29 @t39))))) % 0.37/0.57 (assume @p30 (forall @t50 (=> @t49 (tptp.line @t40)))) % 0.37/0.57 (assume @p31 (forall @t15 (= (tptp.equal_points @t1 @t4) @t51))) % 0.37/0.57 (assume @p32 (forall @t15 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.37/0.57 (assume @p33 (forall @t15 (= (tptp.parallel_lines @t1 @t4) (not @t12)))) % 0.37/0.57 (assume @p34 (forall @t15 (= (tptp.incident_point_and_line @t1 @t4) @t52))) % 0.37/0.57 (assume @p35 (forall @t15 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.37/0.57 (assume @p36 @t57) % 0.37/0.57 (assume @p37 true) % 0.37/0.57 (step @p38 :rule aci_norm :args ((= (or @t52 @t23) @t58))) % 0.37/0.57 (step @p39 :rule bool-impl-elim :args (@t24 @t23)) % 0.37/0.57 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.57 (step @p41 :rule cong :premises (@p40) :args (@t25)) % 0.37/0.57 (step @p42 :rule eq_resolve :premises (@p12 @p41)) % 0.37/0.57 (step @p43 :rule bool-impl-elim :args (@t6 @t17)) % 0.37/0.57 (step @p44 :rule cong :premises (@p43) :args (@t18)) % 0.37/0.57 (step @p45 :rule eq_resolve :premises (@p8 @p44)) % 0.37/0.57 (step @p46 :rule instantiate :premises (@p45) :args (@t64)) % 0.37/0.57 (step @p47 :rule aci_norm :args ((= (or (or @t51 @t59) @t53) @t60))) % 0.37/0.57 (step @p48 :rule refl :args (@t53)) % 0.37/0.57 (step @p49 :rule bool-and-de-morgan :args (@t6 @t54 true)) % 0.37/0.57 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t55) @t53))) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p47)) % 0.37/0.57 (step @p52 :rule bool-impl-elim :args (@t55 @t53)) % 0.37/0.57 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.57 (step @p54 :rule cong :premises (@p53) :args (@t56)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54) :args (@t57)) % 0.37/0.57 (step @p56 :rule eq_resolve :premises (@p36 @p55)) % 0.37/0.57 (step @p57 :rule skolemize :premises (@p56)) % 0.37/0.57 (step @p58 :rule bool-double-not-elim :args (@t65)) % 0.37/0.57 (step @p59 :rule refl :args (@t74)) % 0.37/0.57 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t74 (not @t73)))) % 0.37/0.57 (step @p61 :rule cnf_or_neg :args (@t74 0)) % 0.37/0.57 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.37/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t65 @t74))) % 0.37/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p57) :args (@t65 @t75 @t76)) % 0.37/0.57 (step @p65 :rule cnf_or_pos :args (@t79)) % 0.37/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t73 @t78 (not @t79)))) % 0.37/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p46) :args (@t78 @t80 (@list @t65 @t79))) % 0.37/0.57 (step @p68 :rule instantiate :premises (@p42) :args ((@list @t66 @t70 @t63))) % 0.37/0.57 (step @p69 :rule bool-impl-elim :args (@t6 @t14)) % 0.37/0.57 (step @p70 :rule cong :premises (@p69) :args (@t16)) % 0.37/0.57 (step @p71 :rule eq_resolve :premises (@p7 @p70)) % 0.37/0.57 (step @p72 :rule instantiate :premises (@p71) :args (@t64)) % 0.37/0.57 (step @p73 :rule cnf_or_pos :args (@t83)) % 0.37/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t73 @t82 (not @t83)))) % 0.37/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p64 @p72) :args (@t82 @t80 (@list @t65 @t83))) % 0.37/0.57 (step @p76 :rule bool-double-not-elim :args (@t71)) % 0.37/0.57 (step @p77 :rule nary_cong :premises (@p59 @p76) :args ((or @t74 (not @t72)))) % 0.37/0.57 (step @p78 :rule cnf_or_neg :args (@t74 1)) % 0.37/0.57 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.37/0.57 (step @p80 :rule reordering :premises (@p79) :args ((or @t71 @t74))) % 0.37/0.57 (step @p81 :rule chain_m_resolution :premises (@p80 @p57) :args (@t71 @t75 @t76)) % 0.37/0.57 (step @p82 :rule cnf_or_pos :args (@t84)) % 0.37/0.57 (step @p83 :rule reordering :premises (@p82) :args ((or @t72 @t68 @t81 (not @t84)))) % 0.37/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p75 @p68) :args (@t68 (@list false true false) (@list @t71 @t81 @t84))) % 0.37/0.57 (step @p85 :rule cnf_or_neg :args (@t74 2)) % 0.37/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p57) :args ((not @t69) @t75 @t76)) % 0.37/0.57 (step @p87 :rule cnf_and_neg :args (@t69)) % 0.37/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p86 @p84) :args ((not @t67) @t85 (@list @t69 @t68))) % 0.37/0.57 (step @p89 :rule cnf_or_pos :args (@t86)) % 0.37/0.57 (step @p90 :rule reordering :premises (@p89) :args ((or @t72 @t67 @t77 @t87))) % 0.37/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p81 @p88 @p67) :args (@t87 (@list false true true) (@list @t71 @t67 @t77))) % 0.37/0.57 (assume-push @p98 @t88) % 0.37/0.57 (step @p93 :rule instantiate :premises (@p42) :args ((@list @t66 @t70 @t62))) % 0.37/0.57 (step-pop @p99 :rule scope :premises (@p93)) % 0.37/0.57 (step @p94 :rule process_scope :premises (@p99) :args (@t86)) % 0.37/0.57 (step @p96 :rule implies_elim :premises (@p94)) % 0.37/0.57 (step @p97 false :rule chain_m_resolution :premises (@p96 @p91 @p42) :args (false @t85 (@list @t86 @t88))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------