%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO006-1 : TPTP v9.2.1. Bugfixed v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:16:04 AM UTC 2026 % Result : Unsatisfiable 33.85s 34.03s % Output : Proof 33.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO006-1 : TPTP v9.2.1. Bugfixed v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:05:47 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.63 --- Run --no-e-matching --full-saturate-quant at 6... % 21.41/21.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.51/27.71 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.51/33.76 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.85/34.03 % SZS status Unsatisfiable % 33.85/34.03 % SZS output start Proof % 33.85/34.03 ( % 33.85/34.03 (declare-sort $$unsorted 0) % 33.85/34.03 (declare-const tptp.a $$unsorted) % 33.85/34.03 (declare-const tptp.c $$unsorted) % 33.85/34.03 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 33.85/34.03 (declare-const tptp.d $$unsorted) % 33.85/34.03 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 33.85/34.03 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.85/34.03 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.85/34.03 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.85/34.03 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.85/34.03 (declare-const tptp.outer_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.85/34.03 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 33.85/34.03 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.85/34.03 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.85/34.03 (define @t1 () (@var "Y" $$unsorted)) % 33.85/34.03 (define @t2 () (@var "X" $$unsorted)) % 33.85/34.03 (define @t3 () (= @t2 @t1)) % 33.85/34.03 (define @t4 () (@list @t2 @t1)) % 33.85/34.03 (define @t5 () (forall @t4 (or (not (tptp.between @t2 @t1 @t2)) @t3))) % 33.85/34.03 (define @t6 () (@var "Z" $$unsorted)) % 33.85/34.03 (define @t7 () (tptp.between @t2 @t1 @t6)) % 33.85/34.03 (define @t8 () (@var "V" $$unsorted)) % 33.85/34.03 (define @t9 () (not (tptp.between @t2 @t1 @t8))) % 33.85/34.03 (define @t10 () (not @t7)) % 33.85/34.03 (define @t11 () (@var "W" $$unsorted)) % 33.85/34.03 (define @t12 () (@var "V2" $$unsorted)) % 33.85/34.03 (define @t13 () (tptp.outer_pasch @t11 @t2 @t1 @t6 @t8)) % 33.85/34.03 (define @t14 () (not (tptp.between @t1 @t8 @t6))) % 33.85/34.03 (define @t15 () (not (tptp.between @t2 @t11 @t8))) % 33.85/34.03 (define @t16 () (@list @t2 @t11 @t8 @t1 @t6)) % 33.85/34.03 (define @t17 () (tptp.euclid1 @t11 @t2 @t1 @t6 @t8)) % 33.85/34.03 (define @t18 () (= @t2 @t8)) % 33.85/34.03 (define @t19 () (not (tptp.between @t2 @t8 @t11))) % 33.85/34.03 (define @t20 () (@list @t2 @t8 @t11 @t1 @t6)) % 33.85/34.03 (define @t21 () (tptp.euclid2 @t11 @t2 @t1 @t6 @t8)) % 33.85/34.03 (define @t22 () (@var "V1" $$unsorted)) % 33.85/34.03 (define @t23 () (@var "Z1" $$unsorted)) % 33.85/34.03 (define @t24 () (@var "Y1" $$unsorted)) % 33.85/34.03 (define @t25 () (@var "X1" $$unsorted)) % 33.85/34.03 (define @t26 () (tptp.extension @t2 @t1 @t11 @t8)) % 33.85/34.03 (define @t27 () (tptp.continuous @t2 @t1 @t6 @t25 @t23 @t8)) % 33.85/34.03 (define @t28 () (not (tptp.between @t8 @t2 @t6))) % 33.85/34.03 (define @t29 () (not (tptp.equidistant @t8 @t6 @t8 @t23))) % 33.85/34.03 (define @t30 () (not (tptp.equidistant @t8 @t2 @t8 @t25))) % 33.85/34.03 (define @t31 () (@list @t8 @t2 @t25 @t6 @t23 @t1)) % 33.85/34.03 (define @t32 () (= tptp.a tptp.d)) % 33.85/34.03 (define @t33 () (= tptp.c tptp.d)) % 33.85/34.03 (define @t34 () (tptp.between tptp.a tptp.c tptp.d)) % 33.85/34.03 (define @t35 () (tptp.between tptp.a tptp.d tptp.c)) % 33.85/34.03 (define @t36 () (tptp.between tptp.c tptp.a tptp.d)) % 33.85/34.03 (define @t37 () (tptp.outer_pasch tptp.c tptp.a tptp.a tptp.d tptp.c)) % 33.85/34.03 (define @t38 () (@list tptp.a tptp.d tptp.c tptp.a tptp.c)) % 33.85/34.03 (define @t39 () (= tptp.c tptp.a)) % 33.85/34.03 (define @t40 () (tptp.between tptp.c tptp.a tptp.c)) % 33.85/34.03 (define @t41 () (not @t40)) % 33.85/34.03 (define @t42 () (or @t41 @t39)) % 33.85/34.03 (define @t43 () (@list true false)) % 33.85/34.03 (define @t44 () (not @t34)) % 33.85/34.03 (define @t45 () (not @t36)) % 33.85/34.03 (define @t46 () (or @t45 @t44 @t40)) % 33.85/34.03 (define @t47 () (tptp.between tptp.a tptp.c tptp.c)) % 33.85/34.03 (define @t48 () (not @t35)) % 33.85/34.03 (define @t49 () (or @t48 @t48 @t32 @t47 @t47)) % 33.85/34.03 (define @t50 () (tptp.outer_pasch tptp.d tptp.a tptp.a tptp.c tptp.c)) % 33.85/34.03 (define @t51 () (tptp.between tptp.c tptp.d @t50)) % 33.85/34.03 (define @t52 () (not @t47)) % 33.85/34.03 (define @t53 () (or @t48 @t52 @t51)) % 33.85/34.03 (define @t54 () (@list false false false)) % 33.85/34.03 (define @t55 () (tptp.between tptp.a @t50 tptp.a)) % 33.85/34.03 (define @t56 () (or @t48 @t52 @t55)) % 33.85/34.03 (define @t57 () (= tptp.a @t50)) % 33.85/34.03 (define @t58 () (not @t55)) % 33.85/34.03 (define @t59 () (or @t58 @t57)) % 33.85/34.03 (define @t60 () (@list false false)) % 33.85/34.03 (define @t61 () (@list tptp.a tptp.c tptp.c tptp.a tptp.d)) % 33.85/34.03 (define @t62 () (tptp.between tptp.a @t37 tptp.a)) % 33.85/34.03 (define @t63 () (or @t52 @t44 @t62)) % 33.85/34.03 (define @t64 () (= tptp.a @t37)) % 33.85/34.03 (define @t65 () (not @t62)) % 33.85/34.03 (define @t66 () (or @t65 @t64)) % 33.85/34.03 (define @t67 () (tptp.between tptp.c tptp.d @t37)) % 33.85/34.03 (define @t68 () (tptp.between tptp.d tptp.c @t37)) % 33.85/34.03 (define @t69 () (or @t52 @t44 @t68)) % 33.85/34.03 (define @t70 () (tptp.between tptp.d tptp.c tptp.d)) % 33.85/34.03 (define @t71 () (not @t67)) % 33.85/34.03 (define @t72 () (not @t68)) % 33.85/34.03 (define @t73 () (or @t72 @t71 @t70)) % 33.85/34.03 (define @t74 () (not @t70)) % 33.85/34.03 (define @t75 () (or @t74 @t33)) % 33.85/34.03 (define @t76 () (not @t75)) % 33.85/34.03 (define @t77 () (or @t74 (= tptp.d tptp.c))) % 33.85/34.03 (assume @p1 @t5) % 33.85/34.03 (assume @p2 (forall (@list @t2 @t1 @t8 @t6) (or @t9 (not (tptp.between @t1 @t6 @t8)) @t7))) % 33.85/34.03 (assume @p3 (forall (@list @t2 @t1 @t6 @t8) (or @t10 @t9 @t3 (tptp.between @t2 @t6 @t8) (tptp.between @t2 @t8 @t6)))) % 33.85/34.03 (assume @p4 (forall @t4 (tptp.equidistant @t2 @t1 @t1 @t2))) % 33.85/34.03 (assume @p5 (forall (@list @t2 @t1 @t6) (or (not (tptp.equidistant @t2 @t1 @t6 @t6)) @t3))) % 33.85/34.03 (assume @p6 (forall (@list @t2 @t1 @t6 @t8 @t12 @t11) (or (not (tptp.equidistant @t2 @t1 @t6 @t8)) (not (tptp.equidistant @t2 @t1 @t12 @t11)) (tptp.equidistant @t6 @t8 @t12 @t11)))) % 33.85/34.03 (assume @p7 (forall @t16 (or @t15 @t14 (tptp.between @t2 @t13 @t1)))) % 33.85/34.03 (assume @p8 (forall @t16 (or @t15 @t14 (tptp.between @t6 @t11 @t13)))) % 33.85/34.03 (assume @p9 (forall @t20 (or @t19 @t14 @t18 (tptp.between @t2 @t6 @t17)))) % 33.85/34.03 (assume @p10 (forall @t20 (or @t19 @t14 @t18 (tptp.between @t2 @t1 @t21)))) % 33.85/34.03 (assume @p11 (forall @t20 (or @t19 @t14 @t18 (tptp.between @t17 @t11 @t21)))) % 33.85/34.03 (assume @p12 (forall (@list @t2 @t1 @t25 @t24 @t6 @t23 @t8 @t22) (or (not (tptp.equidistant @t2 @t1 @t25 @t24)) (not (tptp.equidistant @t1 @t6 @t24 @t23)) (not (tptp.equidistant @t2 @t8 @t25 @t22)) (not (tptp.equidistant @t1 @t8 @t24 @t22)) @t10 (not (tptp.between @t25 @t24 @t23)) @t3 (tptp.equidistant @t6 @t8 @t23 @t22)))) % 33.85/34.03 (assume @p13 (forall (@list @t2 @t1 @t11 @t8) (tptp.between @t2 @t1 @t26))) % 33.85/34.03 (assume @p14 (forall (@list @t1 @t2 @t11 @t8) (tptp.equidistant @t1 @t26 @t11 @t8))) % 33.85/34.03 (assume @p15 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 33.85/34.03 (assume @p16 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 33.85/34.03 (assume @p17 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 33.85/34.03 (assume @p18 (forall @t16 (or (not (tptp.equidistant @t2 @t11 @t2 @t8)) (not (tptp.equidistant @t1 @t11 @t1 @t8)) (not (tptp.equidistant @t6 @t11 @t6 @t8)) @t7 (tptp.between @t1 @t6 @t2) (tptp.between @t6 @t2 @t1) (= @t11 @t8)))) % 33.85/34.03 (assume @p19 (forall @t31 (or @t30 @t29 @t28 @t10 (tptp.equidistant @t8 @t1 @t8 @t27)))) % 33.85/34.03 (assume @p20 (forall @t31 (or @t30 @t29 @t28 @t10 (tptp.between @t25 @t27 @t23)))) % 33.85/34.03 (assume @p21 (not (= tptp.a tptp.c))) % 33.85/34.03 (assume @p22 (not @t32)) % 33.85/34.03 (assume @p23 (not @t33)) % 33.85/34.03 (assume @p24 @t34) % 33.85/34.03 (assume @p25 (or @t36 @t35)) % 33.85/34.03 (step @p26 :rule instantiate :premises (@p2) :args ((@list tptp.d tptp.c @t37 tptp.d))) % 33.85/34.03 (step @p27 :rule instantiate :premises (@p8) :args (@t38)) % 33.85/34.03 (step @p28 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.d tptp.c tptp.c))) % 33.85/34.03 (step @p29 :rule instantiate :premises (@p2) :args ((@list tptp.c tptp.a tptp.d tptp.c))) % 33.85/34.03 (step @p30 :rule instantiate :premises (@p1) :args ((@list tptp.c tptp.a))) % 33.85/34.03 (step @p31 :rule symm :premises (@p21)) % 33.85/34.03 (step @p32 :rule cnf_or_pos :args (@t42)) % 33.85/34.03 (step @p33 :rule reordering :premises (@p32) :args ((or @t39 @t41 (not @t42)))) % 33.85/34.03 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p30) :args (@t41 @t43 (@list @t39 @t42))) % 33.85/34.03 (step @p35 :rule cnf_or_pos :args (@t46)) % 33.85/34.03 (step @p36 :rule reordering :premises (@p35) :args ((or @t44 @t45 @t40 (not @t46)))) % 33.85/34.03 (step @p37 :rule chain_m_resolution :premises (@p36 @p24 @p34 @p29) :args (@t45 (@list false true false) (@list @t34 @t40 @t46))) % 33.85/34.03 (step @p38 :rule chain_m_resolution :premises (@p25 @p37) :args (@t35 (@list true) (@list @t36))) % 33.85/34.03 (step @p39 :rule cnf_or_pos :args (@t49)) % 33.85/34.03 (step @p40 :rule factoring :premises (@p39)) % 33.85/34.03 (step @p41 :rule reordering :premises (@p40) :args ((or @t32 @t48 @t47 (not @t49)))) % 33.85/34.03 (step @p42 :rule chain_m_resolution :premises (@p41 @p22 @p38 @p28) :args (@t47 (@list true false false) (@list @t32 @t35 @t49))) % 33.85/34.03 (step @p43 :rule cnf_or_pos :args (@t53)) % 33.85/34.03 (step @p44 :rule reordering :premises (@p43) :args ((or @t48 @t52 @t51 (not @t53)))) % 33.85/34.03 (step @p45 :rule chain_m_resolution :premises (@p44 @p38 @p42 @p27) :args (@t51 @t54 (@list @t35 @t47 @t53))) % 33.85/34.03 (step @p46 :rule true_intro :premises (@p45)) % 33.85/34.03 (step @p47 :rule instantiate :premises (@p1) :args ((@list tptp.a @t50))) % 33.85/34.03 (step @p48 :rule instantiate :premises (@p7) :args (@t38)) % 33.85/34.03 (step @p49 :rule cnf_or_pos :args (@t56)) % 33.85/34.03 (step @p50 :rule reordering :premises (@p49) :args ((or @t48 @t52 @t55 (not @t56)))) % 33.85/34.03 (step @p51 :rule chain_m_resolution :premises (@p50 @p38 @p42 @p48) :args (@t55 @t54 (@list @t35 @t47 @t56))) % 33.85/34.03 (step @p52 :rule cnf_or_pos :args (@t59)) % 33.85/34.03 (step @p53 :rule reordering :premises (@p52) :args ((or @t58 @t57 (not @t59)))) % 33.85/34.03 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p47) :args (@t57 @t60 (@list @t55 @t59))) % 33.85/34.03 (step @p55 :rule instantiate :premises (@p1) :args ((@list tptp.a @t37))) % 33.85/34.03 (step @p56 :rule instantiate :premises (@p7) :args (@t61)) % 33.85/34.03 (step @p57 :rule cnf_or_pos :args (@t63)) % 33.85/34.03 (step @p58 :rule reordering :premises (@p57) :args ((or @t44 @t52 @t62 (not @t63)))) % 33.85/34.03 (step @p59 :rule chain_m_resolution :premises (@p58 @p24 @p42 @p56) :args (@t62 @t54 (@list @t34 @t47 @t63))) % 33.85/34.03 (step @p60 :rule cnf_or_pos :args (@t66)) % 33.85/34.03 (step @p61 :rule reordering :premises (@p60) :args ((or @t65 @t64 (not @t66)))) % 33.85/34.03 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p55) :args (@t64 @t60 (@list @t62 @t66))) % 33.85/34.03 (step @p63 :rule symm :premises (@p62)) % 33.85/34.03 (step @p64 :rule trans :premises (@p63 @p54)) % 33.85/34.03 (step @p65 :rule refl :args (tptp.d)) % 33.85/34.03 (step @p66 :rule refl :args (tptp.c)) % 33.85/34.03 (step @p67 :rule cong :premises (@p66 @p65 @p64) :args (@t67)) % 33.85/34.03 (step @p68 :rule trans :premises (@p67 @p46)) % 33.85/34.03 (step @p69 :rule true_elim :premises (@p68)) % 33.85/34.03 (step @p70 :rule instantiate :premises (@p8) :args (@t61)) % 33.85/34.03 (step @p71 :rule cnf_or_pos :args (@t69)) % 33.85/34.03 (step @p72 :rule reordering :premises (@p71) :args ((or @t44 @t52 @t68 (not @t69)))) % 33.85/34.03 (step @p73 :rule chain_m_resolution :premises (@p72 @p24 @p42 @p70) :args (@t68 @t54 (@list @t34 @t47 @t69))) % 33.85/34.03 (step @p74 :rule cnf_or_pos :args (@t73)) % 33.85/34.03 (step @p75 :rule reordering :premises (@p74) :args ((or @t72 @t71 @t70 (not @t73)))) % 33.85/34.03 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p69 @p26) :args (@t70 @t54 (@list @t68 @t67 @t73))) % 33.85/34.03 (step @p77 :rule cnf_or_pos :args (@t75)) % 33.85/34.03 (step @p78 :rule reordering :premises (@p77) :args ((or @t33 @t74 @t76))) % 33.85/34.03 (step @p79 :rule chain_m_resolution :premises (@p78 @p23 @p76) :args (@t76 @t43 (@list @t33 @t70))) % 33.85/34.03 (step @p80 :rule eq-symm :args (tptp.d tptp.c)) % 33.85/34.03 (step @p81 :rule refl :args (@t74)) % 33.85/34.03 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t77)) % 33.85/34.03 (step @p83 :rule refl :args (@t5)) % 33.85/34.03 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t5 @t77))) % 33.85/34.03 (assume-push @p92 @t5) % 33.85/34.03 (step @p86 :rule instantiate :premises (@p1) :args ((@list tptp.d tptp.c))) % 33.85/34.03 (step-pop @p93 :rule scope :premises (@p86)) % 33.85/34.03 (step @p87 :rule process_scope :premises (@p93) :args (@t77)) % 33.85/34.03 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 33.85/34.03 (step @p90 :rule implies_elim :premises (@p89)) % 33.85/34.03 (step @p91 false :rule chain_m_resolution :premises (@p90 @p79 @p1) :args (false @t43 (@list @t75 @t5))) % 33.85/34.03 ) % 33.85/34.04 % SZS output end Proof % 33.85/34.04 % cvc5 exiting %------------------------------------------------------------------------------