%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO026-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:16:08 AM UTC 2026 % Result : Unsatisfiable 32.10s 32.34s % Output : Proof 32.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO026-2 : TPTP v9.2.1. Released v1.0.0. % 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 : n021.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 23:10:19 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.65 --- Run --no-e-matching --full-saturate-quant at 6... % 21.51/21.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.51/27.73 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 32.10/32.34 % SZS status Unsatisfiable % 32.10/32.34 % SZS output start Proof % 32.10/32.34 ( % 32.10/32.34 (declare-sort $$unsorted 0) % 32.10/32.34 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 32.10/32.34 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 32.10/32.34 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 32.10/32.34 (declare-const tptp.v $$unsorted) % 32.10/32.34 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 32.10/32.34 (declare-const tptp.x $$unsorted) % 32.10/32.34 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 32.10/32.34 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 32.10/32.34 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 32.10/32.34 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 32.10/32.34 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 32.10/32.34 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 32.10/32.34 (declare-const tptp.w $$unsorted) % 32.10/32.34 (declare-const tptp.u $$unsorted) % 32.10/32.34 (define @t1 () (@var "X" $$unsorted)) % 32.10/32.34 (define @t2 () (@var "Y" $$unsorted)) % 32.10/32.34 (define @t3 () (@list @t1 @t2)) % 32.10/32.34 (define @t4 () (@var "W" $$unsorted)) % 32.10/32.34 (define @t5 () (@var "V2" $$unsorted)) % 32.10/32.34 (define @t6 () (@var "V" $$unsorted)) % 32.10/32.34 (define @t7 () (@var "Z" $$unsorted)) % 32.10/32.34 (define @t8 () (= @t1 @t2)) % 32.10/32.34 (define @t9 () (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 32.10/32.34 (define @t10 () (tptp.extension @t1 @t2 @t4 @t6)) % 32.10/32.34 (define @t11 () (@var "V1" $$unsorted)) % 32.10/32.34 (define @t12 () (@var "Z1" $$unsorted)) % 32.10/32.34 (define @t13 () (@var "Y1" $$unsorted)) % 32.10/32.34 (define @t14 () (@var "X1" $$unsorted)) % 32.10/32.34 (define @t15 () (tptp.between @t1 @t2 @t7)) % 32.10/32.34 (define @t16 () (@var "U" $$unsorted)) % 32.10/32.34 (define @t17 () (tptp.inner_pasch @t16 @t6 @t4 @t1 @t2)) % 32.10/32.34 (define @t18 () (not (tptp.between @t2 @t1 @t4))) % 32.10/32.34 (define @t19 () (not (tptp.between @t16 @t6 @t4))) % 32.10/32.34 (define @t20 () (@list @t16 @t6 @t4 @t2 @t1)) % 32.10/32.34 (define @t21 () (tptp.euclid1 @t16 @t6 @t4 @t1 @t2)) % 32.10/32.34 (define @t22 () (= @t16 @t4)) % 32.10/32.34 (define @t23 () (not (tptp.between @t6 @t4 @t1))) % 32.10/32.34 (define @t24 () (not (tptp.between @t16 @t4 @t2))) % 32.10/32.35 (define @t25 () (@list @t16 @t4 @t2 @t6 @t1)) % 32.10/32.35 (define @t26 () (tptp.euclid2 @t16 @t6 @t4 @t1 @t2)) % 32.10/32.35 (define @t27 () (tptp.continuous @t16 @t6 @t11 @t4 @t1 @t14)) % 32.10/32.35 (define @t28 () (not (tptp.between @t16 @t6 @t1))) % 32.10/32.35 (define @t29 () (not (tptp.equidistant @t16 @t1 @t16 @t14))) % 32.10/32.35 (define @t30 () (not (tptp.equidistant @t16 @t6 @t16 @t11))) % 32.10/32.35 (define @t31 () (@list @t16 @t6 @t11 @t1 @t14 @t4)) % 32.10/32.35 (define @t32 () (tptp.between tptp.u tptp.v tptp.w)) % 32.10/32.35 (define @t33 () (tptp.between tptp.u tptp.v tptp.x)) % 32.10/32.35 (define @t34 () (tptp.equidistant tptp.v tptp.w tptp.v tptp.x)) % 32.10/32.35 (define @t35 () (= tptp.u tptp.v)) % 32.10/32.35 (define @t36 () (= tptp.w tptp.x)) % 32.10/32.35 (define @t37 () (tptp.equidistant tptp.v tptp.x tptp.v tptp.x)) % 32.10/32.35 (define @t38 () (not @t34)) % 32.10/32.35 (define @t39 () (or @t38 @t38 @t37)) % 32.10/32.35 (define @t40 () (@list false false)) % 32.10/32.35 (define @t41 () (tptp.equidistant tptp.u tptp.x tptp.u tptp.x)) % 32.10/32.35 (define @t42 () (tptp.equidistant tptp.x tptp.u tptp.u tptp.x)) % 32.10/32.35 (define @t43 () (not @t42)) % 32.10/32.35 (define @t44 () (or @t43 @t43 @t41)) % 32.10/32.35 (define @t45 () (tptp.equidistant tptp.u tptp.v tptp.u tptp.v)) % 32.10/32.35 (define @t46 () (tptp.equidistant tptp.v tptp.u tptp.u tptp.v)) % 32.10/32.35 (define @t47 () (not @t46)) % 32.10/32.35 (define @t48 () (or @t47 @t47 @t45)) % 32.10/32.35 (define @t49 () (tptp.equidistant tptp.w tptp.x tptp.x tptp.x)) % 32.10/32.35 (define @t50 () (not @t33)) % 32.10/32.35 (define @t51 () (not @t32)) % 32.10/32.35 (define @t52 () (not @t37)) % 32.10/32.35 (define @t53 () (not @t41)) % 32.10/32.35 (define @t54 () (not @t45)) % 32.10/32.35 (define @t55 () (or @t54 @t38 @t53 @t52 @t51 @t50 @t35 @t49)) % 32.10/32.35 (define @t56 () (not @t49)) % 32.10/32.35 (define @t57 () (or @t56 @t36)) % 32.10/32.35 (define @t58 () (not @t57)) % 32.10/32.35 (define @t59 () (@list true false)) % 32.10/32.35 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 32.10/32.35 (assume @p2 (forall (@list @t1 @t2 @t7 @t6 @t5 @t4) (or (not (tptp.equidistant @t1 @t2 @t7 @t6)) (not (tptp.equidistant @t1 @t2 @t5 @t4)) (tptp.equidistant @t7 @t6 @t5 @t4)))) % 32.10/32.35 (assume @p3 @t9) % 32.10/32.35 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t10))) % 32.10/32.35 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t10 @t4 @t6))) % 32.10/32.35 (assume @p6 (forall (@list @t1 @t2 @t14 @t13 @t7 @t12 @t6 @t11) (or (not (tptp.equidistant @t1 @t2 @t14 @t13)) (not (tptp.equidistant @t2 @t7 @t13 @t12)) (not (tptp.equidistant @t1 @t6 @t14 @t11)) (not (tptp.equidistant @t2 @t6 @t13 @t11)) (not @t15) (not (tptp.between @t14 @t13 @t12)) @t8 (tptp.equidistant @t7 @t6 @t12 @t11)))) % 32.10/32.35 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 32.10/32.35 (assume @p8 (forall @t20 (or @t19 @t18 (tptp.between @t6 @t17 @t2)))) % 32.10/32.35 (assume @p9 (forall @t20 (or @t19 @t18 (tptp.between @t1 @t17 @t16)))) % 32.10/32.35 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 32.10/32.35 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 32.10/32.35 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 32.10/32.35 (assume @p13 (forall (@list @t1 @t4 @t6 @t2 @t7) (or (not (tptp.equidistant @t1 @t4 @t1 @t6)) (not (tptp.equidistant @t2 @t4 @t2 @t6)) (not (tptp.equidistant @t7 @t4 @t7 @t6)) @t15 (tptp.between @t2 @t7 @t1) (tptp.between @t7 @t1 @t2) (= @t4 @t6)))) % 32.10/32.35 (assume @p14 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t16 @t6 @t21)))) % 32.10/32.35 (assume @p15 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t16 @t1 @t26)))) % 32.10/32.35 (assume @p16 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t21 @t2 @t26)))) % 32.10/32.35 (assume @p17 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.between @t11 @t27 @t14)))) % 32.10/32.35 (assume @p18 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.equidistant @t16 @t4 @t16 @t27)))) % 32.10/32.35 (assume @p19 @t32) % 32.10/32.35 (assume @p20 @t33) % 32.10/32.35 (assume @p21 @t34) % 32.10/32.35 (assume @p22 (not @t35)) % 32.10/32.35 (assume @p23 (not @t36)) % 32.10/32.35 (step @p24 :rule instantiate :premises (@p6) :args ((@list tptp.u tptp.v tptp.u tptp.v tptp.w tptp.x tptp.x tptp.x))) % 32.10/32.35 (step @p25 :rule instantiate :premises (@p2) :args ((@list tptp.v tptp.w tptp.v tptp.x tptp.v tptp.x))) % 32.10/32.35 (step @p26 :rule cnf_or_pos :args (@t39)) % 32.10/32.35 (step @p27 :rule factoring :premises (@p26)) % 32.10/32.35 (step @p28 :rule reordering :premises (@p27) :args ((or @t38 @t37 (not @t39)))) % 32.10/32.35 (step @p29 :rule chain_m_resolution :premises (@p28 @p21 @p25) :args (@t37 @t40 (@list @t34 @t39))) % 32.10/32.35 (step @p30 :rule instantiate :premises (@p2) :args ((@list tptp.x tptp.u tptp.u tptp.x tptp.u tptp.x))) % 32.10/32.35 (step @p31 :rule instantiate :premises (@p1) :args ((@list tptp.x tptp.u))) % 32.10/32.35 (step @p32 :rule cnf_or_pos :args (@t44)) % 32.10/32.35 (step @p33 :rule factoring :premises (@p32)) % 32.10/32.35 (step @p34 :rule reordering :premises (@p33) :args ((or @t43 @t41 (not @t44)))) % 32.10/32.35 (step @p35 :rule chain_m_resolution :premises (@p34 @p31 @p30) :args (@t41 @t40 (@list @t42 @t44))) % 32.10/32.35 (step @p36 :rule instantiate :premises (@p2) :args ((@list tptp.v tptp.u tptp.u tptp.v tptp.u tptp.v))) % 32.10/32.35 (step @p37 :rule instantiate :premises (@p1) :args ((@list tptp.v tptp.u))) % 32.10/32.35 (step @p38 :rule cnf_or_pos :args (@t48)) % 32.10/32.35 (step @p39 :rule factoring :premises (@p38)) % 32.10/32.35 (step @p40 :rule reordering :premises (@p39) :args ((or @t47 @t45 (not @t48)))) % 32.10/32.35 (step @p41 :rule chain_m_resolution :premises (@p40 @p37 @p36) :args (@t45 @t40 (@list @t46 @t48))) % 32.10/32.35 (step @p42 :rule cnf_or_pos :args (@t55)) % 32.10/32.35 (step @p43 :rule reordering :premises (@p42) :args ((or @t35 @t51 @t50 @t38 @t54 @t53 @t52 @t49 (not @t55)))) % 32.10/32.35 (step @p44 :rule chain_m_resolution :premises (@p43 @p22 @p19 @p20 @p21 @p41 @p35 @p29 @p24) :args (@t49 (@list true false false false false false false false) (@list @t35 @t32 @t33 @t34 @t45 @t41 @t37 @t55))) % 32.10/32.35 (step @p45 :rule cnf_or_pos :args (@t57)) % 32.10/32.35 (step @p46 :rule reordering :premises (@p45) :args ((or @t36 @t56 @t58))) % 32.10/32.35 (step @p47 :rule chain_m_resolution :premises (@p46 @p23 @p44) :args (@t58 @t59 (@list @t36 @t49))) % 32.10/32.35 (assume-push @p54 @t9) % 32.10/32.35 (step @p49 :rule instantiate :premises (@p3) :args ((@list tptp.w tptp.x tptp.x))) % 32.10/32.35 (step-pop @p55 :rule scope :premises (@p49)) % 32.10/32.35 (step @p50 :rule process_scope :premises (@p55) :args (@t57)) % 32.10/32.35 (step @p52 :rule implies_elim :premises (@p50)) % 32.10/32.35 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p3) :args (false @t59 (@list @t57 @t9))) % 32.10/32.35 ) % 32.10/32.36 % SZS output end Proof % 32.10/32.36 % cvc5 exiting %------------------------------------------------------------------------------