%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO221+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 : n023.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 0.37s 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 : GEO221+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.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 23:41:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----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 $$unsorted 0) % 0.37/0.57 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.distinct_points (-> $$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 @t4)) % 0.37/0.57 (define @t12 () (tptp.apart_point_and_line @t3 @t4)) % 0.37/0.57 (define @t13 () (@var "V" $$unsorted)) % 0.37/0.57 (define @t14 () (@var "U" $$unsorted)) % 0.37/0.57 (define @t15 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.57 (define @t16 () (tptp.apart_point_and_line @t1 @t3)) % 0.37/0.57 (define @t17 () (@list @t1 @t4)) % 0.37/0.57 (define @t18 () (tptp.parallel_through_point @t4 @t1)) % 0.37/0.57 (define @t19 () (@var "M" $$unsorted)) % 0.37/0.57 (define @t20 () (@var "L" $$unsorted)) % 0.37/0.57 (define @t21 () (tptp.unorthogonal_lines @t20 @t19)) % 0.37/0.57 (define @t22 () (tptp.convergent_lines @t20 @t19)) % 0.37/0.57 (define @t23 () (@var "N" $$unsorted)) % 0.37/0.57 (define @t24 () (tptp.unorthogonal_lines @t19 @t23)) % 0.37/0.57 (define @t25 () (tptp.unorthogonal_lines @t20 @t23)) % 0.37/0.57 (define @t26 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t27 () (tptp.orthogonal_through_point @t20 @t26)) % 0.37/0.57 (define @t28 () (@list @t26 @t20)) % 0.37/0.57 (define @t29 () (tptp.apart_point_and_line @t26 @t19)) % 0.37/0.57 (define @t30 () (tptp.apart_point_and_line @t26 @t20)) % 0.37/0.57 (define @t31 () (or @t30 @t29 @t25 @t24)) % 0.37/0.57 (define @t32 () (tptp.distinct_lines @t20 @t19)) % 0.37/0.57 (define @t33 () (@list @t26 @t20 @t19 @t23)) % 0.37/0.57 (define @t34 () (forall @t33 (=> @t32 @t31))) % 0.37/0.57 (define @t35 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t36 () (not (tptp.distinct_lines @t27 (tptp.orthogonal_through_point @t20 @t35)))) % 0.37/0.57 (define @t37 () (tptp.apart_point_and_line @t35 @t27)) % 0.37/0.57 (define @t38 () (not @t37)) % 0.37/0.57 (define @t39 () (@list @t26 @t35 @t20)) % 0.37/0.57 (define @t40 () (forall @t39 (=> @t38 @t36))) % 0.37/0.57 (define @t41 () (not @t40)) % 0.37/0.57 (define @t42 () (not @t32)) % 0.37/0.57 (define @t43 () (or @t42 @t30 @t29 @t25 @t24)) % 0.37/0.57 (define @t44 () (forall @t39 (or @t37 @t36))) % 0.37/0.57 (define @t45 () (@quantifiers_skolemize @t44 2)) % 0.37/0.57 (define @t46 () (@quantifiers_skolemize @t44 1)) % 0.37/0.57 (define @t47 () (@list @t46 @t45)) % 0.37/0.57 (define @t48 () (@quantifiers_skolemize @t44 0)) % 0.37/0.57 (define @t49 () (tptp.orthogonal_through_point @t45 @t46)) % 0.37/0.57 (define @t50 () (tptp.orthogonal_through_point @t45 @t48)) % 0.37/0.57 (define @t51 () (tptp.distinct_lines @t50 @t49)) % 0.37/0.57 (define @t52 () (not @t51)) % 0.37/0.57 (define @t53 () (tptp.apart_point_and_line @t46 @t50)) % 0.37/0.57 (define @t54 () (or @t53 @t52)) % 0.37/0.57 (define @t55 () (@list true)) % 0.37/0.57 (define @t56 () (@list @t54)) % 0.37/0.57 (define @t57 () (tptp.unorthogonal_lines @t49 @t45)) % 0.37/0.57 (define @t58 () (tptp.unorthogonal_lines @t50 @t45)) % 0.37/0.57 (define @t59 () (tptp.apart_point_and_line @t46 @t49)) % 0.37/0.57 (define @t60 () (or @t52 @t53 @t59 @t58 @t57)) % 0.37/0.57 (define @t61 () (not @t60)) % 0.37/0.57 (define @t62 () (forall @t33 @t43)) % 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 (=> @t11 (or (tptp.convergent_lines @t1 @t3) @t10)))) % 0.37/0.57 (assume @p7 (forall @t7 (=> @t6 (=> (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4)) (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4)))))) % 0.37/0.57 (assume @p8 (forall @t7 (=> @t11 (=> (or (tptp.apart_point_and_line @t3 @t1) @t12) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.37/0.57 (assume @p9 (forall (@list @t1 @t4 @t14 @t13) (=> (and @t6 (tptp.distinct_lines @t14 @t13)) (or (tptp.apart_point_and_line @t1 @t14) (tptp.apart_point_and_line @t1 @t13) (tptp.apart_point_and_line @t4 @t14) (tptp.apart_point_and_line @t4 @t13))))) % 0.37/0.57 (assume @p10 (forall @t7 (=> @t15 (or @t5 @t12)))) % 0.37/0.57 (assume @p11 (forall @t7 (=> @t15 (or @t8 @t16)))) % 0.37/0.57 (assume @p12 (forall @t17 (=> @t11 @t9))) % 0.37/0.57 (assume @p13 (forall @t17 (not (tptp.convergent_lines @t18 @t4)))) % 0.37/0.57 (assume @p14 (forall @t17 (not (tptp.apart_point_and_line @t1 @t18)))) % 0.37/0.57 (assume @p15 (forall @t7 (=> @t8 (or @t15 @t16 @t10)))) % 0.37/0.57 (assume @p16 (forall (@list @t20 @t19) (or @t22 @t21))) % 0.37/0.57 (assume @p17 (forall (@list @t20 @t19 @t23) (=> (and @t22 @t21) (or (and (tptp.convergent_lines @t20 @t23) @t25) (and (tptp.convergent_lines @t19 @t23) @t24))))) % 0.37/0.57 (assume @p18 (forall @t28 (not (tptp.unorthogonal_lines @t27 @t20)))) % 0.37/0.57 (assume @p19 (forall @t28 (not (tptp.apart_point_and_line @t26 @t27)))) % 0.37/0.57 (assume @p20 @t34) % 0.37/0.57 (assume @p21 @t41) % 0.37/0.57 (assume @p22 true) % 0.37/0.57 (step @p23 :rule aci_norm :args ((= (or @t42 @t31) @t43))) % 0.37/0.57 (step @p24 :rule bool-impl-elim :args (@t32 @t31)) % 0.37/0.57 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25) :args (@t34)) % 0.37/0.57 (step @p27 :rule eq_resolve :premises (@p20 @p26)) % 0.37/0.57 (step @p28 :rule instantiate :premises (@p18) :args (@t47)) % 0.37/0.57 (step @p29 :rule instantiate :premises (@p18) :args ((@list @t48 @t45))) % 0.37/0.57 (step @p30 :rule instantiate :premises (@p19) :args (@t47)) % 0.37/0.57 (step @p31 :rule refl :args (@t36)) % 0.37/0.57 (step @p32 :rule bool-double-not-elim :args (@t37)) % 0.37/0.57 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t38) @t36))) % 0.37/0.57 (step @p34 :rule bool-impl-elim :args (@t38 @t36)) % 0.37/0.57 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.57 (step @p36 :rule cong :premises (@p35) :args (@t40)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36) :args (@t41)) % 0.37/0.57 (step @p38 :rule eq_resolve :premises (@p21 @p37)) % 0.37/0.57 (step @p39 :rule skolemize :premises (@p38)) % 0.37/0.57 (step @p40 :rule bool-double-not-elim :args (@t51)) % 0.37/0.57 (step @p41 :rule refl :args (@t54)) % 0.37/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t54 (not @t52)))) % 0.37/0.57 (step @p43 :rule cnf_or_neg :args (@t54 1)) % 0.37/0.57 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.37/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t51 @t54))) % 0.37/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p39) :args (@t51 @t55 @t56)) % 0.37/0.57 (step @p47 :rule cnf_or_neg :args (@t54 0)) % 0.37/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p39) :args ((not @t53) @t55 @t56)) % 0.37/0.57 (step @p49 :rule cnf_or_pos :args (@t60)) % 0.37/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t53 @t52 @t59 @t58 @t57 @t61))) % 0.37/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p46 @p30 @p29 @p28) :args (@t61 (@list true false true true true) (@list @t53 @t51 @t59 @t58 @t57))) % 0.37/0.57 (assume-push @p58 @t62) % 0.37/0.57 (step @p53 :rule instantiate :premises (@p27) :args ((@list @t46 @t50 @t49 @t45))) % 0.37/0.57 (step-pop @p59 :rule scope :premises (@p53)) % 0.37/0.57 (step @p54 :rule process_scope :premises (@p59) :args (@t60)) % 0.37/0.57 (step @p56 :rule implies_elim :premises (@p54)) % 0.37/0.57 (step @p57 false :rule chain_m_resolution :premises (@p56 @p51 @p27) :args (false (@list true false) (@list @t60 @t62))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------