%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO221+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 : n008.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 08:16:49 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 : GEO221+1 : 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 % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 23:41:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----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 $$unsorted 0) % 0.39/0.58 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 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.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.distinct_points (-> $$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.convergent_lines @t4 @t3)) % 0.39/0.58 (define @t10 () (tptp.convergent_lines @t1 @t3)) % 0.39/0.58 (define @t11 () (tptp.convergent_lines @t1 @t4)) % 0.39/0.58 (define @t12 () (tptp.line_connecting @t1 @t4)) % 0.39/0.58 (define @t13 () (@list @t1 @t4)) % 0.39/0.58 (define @t14 () (tptp.intersection_point @t1 @t4)) % 0.39/0.58 (define @t15 () (@var "V" $$unsorted)) % 0.39/0.58 (define @t16 () (@var "U" $$unsorted)) % 0.39/0.58 (define @t17 () (tptp.apart_point_and_line @t1 @t4)) % 0.39/0.58 (define @t18 () (tptp.apart_point_and_line @t1 @t3)) % 0.39/0.58 (define @t19 () (tptp.parallel_through_point @t4 @t1)) % 0.39/0.58 (define @t20 () (@var "M" $$unsorted)) % 0.39/0.58 (define @t21 () (@var "L" $$unsorted)) % 0.39/0.58 (define @t22 () (tptp.unorthogonal_lines @t21 @t20)) % 0.39/0.58 (define @t23 () (tptp.convergent_lines @t21 @t20)) % 0.39/0.58 (define @t24 () (@var "N" $$unsorted)) % 0.39/0.58 (define @t25 () (tptp.unorthogonal_lines @t20 @t24)) % 0.39/0.58 (define @t26 () (tptp.unorthogonal_lines @t21 @t24)) % 0.39/0.58 (define @t27 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t28 () (tptp.orthogonal_through_point @t21 @t27)) % 0.39/0.58 (define @t29 () (@list @t27 @t21)) % 0.39/0.58 (define @t30 () (tptp.apart_point_and_line @t27 @t20)) % 0.39/0.58 (define @t31 () (tptp.apart_point_and_line @t27 @t21)) % 0.39/0.58 (define @t32 () (or @t31 @t30 @t26 @t25)) % 0.39/0.58 (define @t33 () (tptp.distinct_lines @t21 @t20)) % 0.39/0.58 (define @t34 () (@list @t27 @t21 @t20 @t24)) % 0.39/0.58 (define @t35 () (forall @t34 (=> @t33 @t32))) % 0.39/0.58 (define @t36 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t37 () (not (tptp.distinct_lines @t28 (tptp.orthogonal_through_point @t21 @t36)))) % 0.39/0.58 (define @t38 () (tptp.apart_point_and_line @t36 @t28)) % 0.39/0.58 (define @t39 () (not @t38)) % 0.39/0.58 (define @t40 () (@list @t27 @t36 @t21)) % 0.39/0.58 (define @t41 () (forall @t40 (=> @t39 @t37))) % 0.39/0.58 (define @t42 () (not @t41)) % 0.39/0.58 (define @t43 () (not @t33)) % 0.39/0.58 (define @t44 () (or @t43 @t31 @t30 @t26 @t25)) % 0.39/0.58 (define @t45 () (forall @t40 (or @t38 @t37))) % 0.39/0.58 (define @t46 () (@quantifiers_skolemize @t45 2)) % 0.39/0.58 (define @t47 () (@quantifiers_skolemize @t45 1)) % 0.39/0.58 (define @t48 () (@list @t47 @t46)) % 0.39/0.58 (define @t49 () (@quantifiers_skolemize @t45 0)) % 0.39/0.58 (define @t50 () (tptp.orthogonal_through_point @t46 @t47)) % 0.39/0.58 (define @t51 () (tptp.orthogonal_through_point @t46 @t49)) % 0.39/0.58 (define @t52 () (tptp.distinct_lines @t51 @t50)) % 0.39/0.58 (define @t53 () (not @t52)) % 0.39/0.58 (define @t54 () (tptp.apart_point_and_line @t47 @t51)) % 0.39/0.58 (define @t55 () (or @t54 @t53)) % 0.39/0.58 (define @t56 () (@list true)) % 0.39/0.58 (define @t57 () (@list @t55)) % 0.39/0.58 (define @t58 () (tptp.unorthogonal_lines @t50 @t46)) % 0.39/0.58 (define @t59 () (tptp.unorthogonal_lines @t51 @t46)) % 0.39/0.58 (define @t60 () (tptp.apart_point_and_line @t47 @t50)) % 0.39/0.58 (define @t61 () (or @t53 @t54 @t60 @t59 @t58)) % 0.39/0.58 (define @t62 () (not @t61)) % 0.39/0.58 (define @t63 () (forall @t34 @t44)) % 0.39/0.58 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.39/0.58 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.58 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.39/0.58 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.39/0.58 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.39/0.58 (assume @p6 (forall @t7 (=> @t11 (or @t10 @t9)))) % 0.39/0.58 (assume @p7 (forall @t13 (=> @t6 (not (tptp.apart_point_and_line @t1 @t12))))) % 0.39/0.58 (assume @p8 (forall @t13 (=> @t6 (not (tptp.apart_point_and_line @t4 @t12))))) % 0.39/0.58 (assume @p9 (forall @t13 (=> @t11 (not (tptp.apart_point_and_line @t14 @t1))))) % 0.39/0.58 (assume @p10 (forall @t13 (=> @t11 (not (tptp.apart_point_and_line @t14 @t4))))) % 0.39/0.58 (assume @p11 (forall (@list @t1 @t4 @t16 @t15) (=> (and @t6 (tptp.distinct_lines @t16 @t15)) (or (tptp.apart_point_and_line @t1 @t16) (tptp.apart_point_and_line @t1 @t15) (tptp.apart_point_and_line @t4 @t16) (tptp.apart_point_and_line @t4 @t15))))) % 0.39/0.58 (assume @p12 (forall @t7 (=> @t17 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.39/0.58 (assume @p13 (forall @t7 (=> @t17 (or @t8 @t18)))) % 0.39/0.58 (assume @p14 (forall @t7 (=> @t11 (or @t8 @t10)))) % 0.39/0.58 (assume @p15 (forall @t13 (not (tptp.convergent_lines @t19 @t4)))) % 0.39/0.58 (assume @p16 (forall @t13 (not (tptp.apart_point_and_line @t1 @t19)))) % 0.39/0.58 (assume @p17 (forall @t7 (=> @t8 (or @t17 @t18 @t9)))) % 0.39/0.58 (assume @p18 (forall (@list @t21 @t20) (or @t23 @t22))) % 0.39/0.58 (assume @p19 (forall (@list @t21 @t20 @t24) (=> (and @t23 @t22) (or (and (tptp.convergent_lines @t21 @t24) @t26) (and (tptp.convergent_lines @t20 @t24) @t25))))) % 0.39/0.58 (assume @p20 (forall @t29 (not (tptp.unorthogonal_lines @t28 @t21)))) % 0.39/0.58 (assume @p21 (forall @t29 (not (tptp.apart_point_and_line @t27 @t28)))) % 0.39/0.58 (assume @p22 @t35) % 0.39/0.58 (assume @p23 @t42) % 0.39/0.58 (assume @p24 true) % 0.39/0.58 (step @p25 :rule aci_norm :args ((= (or @t43 @t32) @t44))) % 0.39/0.58 (step @p26 :rule bool-impl-elim :args (@t33 @t32)) % 0.39/0.58 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.58 (step @p28 :rule cong :premises (@p27) :args (@t35)) % 0.39/0.58 (step @p29 :rule eq_resolve :premises (@p22 @p28)) % 0.39/0.58 (step @p30 :rule instantiate :premises (@p20) :args (@t48)) % 0.39/0.58 (step @p31 :rule instantiate :premises (@p20) :args ((@list @t49 @t46))) % 0.39/0.58 (step @p32 :rule instantiate :premises (@p21) :args (@t48)) % 0.39/0.58 (step @p33 :rule refl :args (@t37)) % 0.39/0.58 (step @p34 :rule bool-double-not-elim :args (@t38)) % 0.39/0.58 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t39) @t37))) % 0.39/0.58 (step @p36 :rule bool-impl-elim :args (@t39 @t37)) % 0.39/0.58 (step @p37 :rule trans :premises (@p36 @p35)) % 0.39/0.58 (step @p38 :rule cong :premises (@p37) :args (@t41)) % 0.39/0.58 (step @p39 :rule cong :premises (@p38) :args (@t42)) % 0.39/0.58 (step @p40 :rule eq_resolve :premises (@p23 @p39)) % 0.39/0.58 (step @p41 :rule skolemize :premises (@p40)) % 0.39/0.58 (step @p42 :rule bool-double-not-elim :args (@t52)) % 0.39/0.58 (step @p43 :rule refl :args (@t55)) % 0.39/0.58 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t55 (not @t53)))) % 0.39/0.58 (step @p45 :rule cnf_or_neg :args (@t55 1)) % 0.39/0.58 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.39/0.58 (step @p47 :rule reordering :premises (@p46) :args ((or @t52 @t55))) % 0.39/0.58 (step @p48 :rule chain_m_resolution :premises (@p47 @p41) :args (@t52 @t56 @t57)) % 0.39/0.58 (step @p49 :rule cnf_or_neg :args (@t55 0)) % 0.39/0.58 (step @p50 :rule chain_m_resolution :premises (@p49 @p41) :args ((not @t54) @t56 @t57)) % 0.39/0.58 (step @p51 :rule cnf_or_pos :args (@t61)) % 0.39/0.58 (step @p52 :rule reordering :premises (@p51) :args ((or @t54 @t53 @t60 @t59 @t58 @t62))) % 0.39/0.58 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p48 @p32 @p31 @p30) :args (@t62 (@list true false true true true) (@list @t54 @t52 @t60 @t59 @t58))) % 0.39/0.58 (assume-push @p60 @t63) % 0.39/0.58 (step @p55 :rule instantiate :premises (@p29) :args ((@list @t47 @t51 @t50 @t46))) % 0.39/0.58 (step-pop @p61 :rule scope :premises (@p55)) % 0.39/0.58 (step @p56 :rule process_scope :premises (@p61) :args (@t61)) % 0.39/0.58 (step @p58 :rule implies_elim :premises (@p56)) % 0.39/0.58 (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p29) :args (false (@list true false) (@list @t61 @t63))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------