%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO022-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:16:07 AM UTC 2026 % Result : Unsatisfiable 204.86s 205.13s % Output : Proof 204.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO022-2 : TPTP v9.2.1. Released v1.0.0. % 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 : n009.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 23:08:29 EDT 2026 % 0.16/0.34 % 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... % 15.42/15.63 --- Run --no-e-matching --full-saturate-quant at 6... % 21.42/21.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 21.51/27.71 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.53/33.77 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.71/63.96 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.72/79.02 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.98/112.22 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 112.02/128.09 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.98/158.25 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 173.07/173.34 --- Run --relevant-triggers --full-saturate-quant at 30... % 173.12/203.51 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.86/205.13 % SZS status Unsatisfiable % 204.86/205.13 % SZS output start Proof % 204.86/205.13 ( % 204.86/205.13 (declare-sort $$unsorted 0) % 204.86/205.13 (declare-const tptp.z $$unsorted) % 204.86/205.13 (declare-const tptp.u $$unsorted) % 204.86/205.13 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 204.86/205.13 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.86/205.13 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.86/205.13 (declare-const tptp.v $$unsorted) % 204.86/205.13 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.86/205.13 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 204.86/205.13 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.86/205.13 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.86/205.13 (declare-const tptp.y $$unsorted) % 204.86/205.13 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.86/205.13 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 204.86/205.13 (declare-const tptp.w $$unsorted) % 204.86/205.13 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 204.86/205.13 (declare-const tptp.x $$unsorted) % 204.86/205.13 (define @t1 () (@var "X" $$unsorted)) % 204.86/205.13 (define @t2 () (@var "Y" $$unsorted)) % 204.86/205.13 (define @t3 () (@list @t1 @t2)) % 204.86/205.13 (define @t4 () (@var "W" $$unsorted)) % 204.86/205.13 (define @t5 () (@var "V2" $$unsorted)) % 204.86/205.13 (define @t6 () (@var "V" $$unsorted)) % 204.86/205.13 (define @t7 () (@var "Z" $$unsorted)) % 204.86/205.13 (define @t8 () (forall (@list @t1 @t2 @t7 @t6 @t5 @t4) (or (not (tptp.equidistant @t1 @t2 @t7 @t6)) (not (tptp.equidistant @t1 @t2 @t5 @t4)) (tptp.equidistant @t7 @t6 @t5 @t4)))) % 204.86/205.13 (define @t9 () (= @t1 @t2)) % 204.86/205.13 (define @t10 () (tptp.extension @t1 @t2 @t4 @t6)) % 204.86/205.13 (define @t11 () (@var "V1" $$unsorted)) % 204.86/205.13 (define @t12 () (@var "Z1" $$unsorted)) % 204.86/205.13 (define @t13 () (@var "Y1" $$unsorted)) % 204.86/205.13 (define @t14 () (@var "X1" $$unsorted)) % 204.86/205.13 (define @t15 () (tptp.between @t1 @t2 @t7)) % 204.86/205.13 (define @t16 () (@var "U" $$unsorted)) % 204.86/205.13 (define @t17 () (tptp.inner_pasch @t16 @t6 @t4 @t1 @t2)) % 204.86/205.13 (define @t18 () (not (tptp.between @t2 @t1 @t4))) % 204.86/205.13 (define @t19 () (not (tptp.between @t16 @t6 @t4))) % 204.86/205.13 (define @t20 () (@list @t16 @t6 @t4 @t2 @t1)) % 204.86/205.13 (define @t21 () (tptp.euclid1 @t16 @t6 @t4 @t1 @t2)) % 204.86/205.13 (define @t22 () (= @t16 @t4)) % 204.86/205.13 (define @t23 () (not (tptp.between @t6 @t4 @t1))) % 204.86/205.13 (define @t24 () (not (tptp.between @t16 @t4 @t2))) % 204.86/205.13 (define @t25 () (@list @t16 @t4 @t2 @t6 @t1)) % 204.86/205.13 (define @t26 () (tptp.euclid2 @t16 @t6 @t4 @t1 @t2)) % 204.86/205.13 (define @t27 () (tptp.continuous @t16 @t6 @t11 @t4 @t1 @t14)) % 204.86/205.13 (define @t28 () (not (tptp.between @t16 @t6 @t1))) % 204.86/205.13 (define @t29 () (not (tptp.equidistant @t16 @t1 @t16 @t14))) % 204.86/205.13 (define @t30 () (not (tptp.equidistant @t16 @t6 @t16 @t11))) % 204.86/205.13 (define @t31 () (@list @t16 @t6 @t11 @t1 @t14 @t4)) % 204.86/205.13 (define @t32 () (tptp.equidistant tptp.u tptp.v tptp.w tptp.x)) % 204.86/205.13 (define @t33 () (tptp.equidistant tptp.w tptp.x tptp.y tptp.z)) % 204.86/205.13 (define @t34 () (tptp.equidistant tptp.u tptp.v tptp.y tptp.z)) % 204.86/205.13 (define @t35 () (tptp.equidistant tptp.w tptp.x tptp.v tptp.u)) % 204.86/205.13 (define @t36 () (tptp.equidistant tptp.u tptp.v tptp.v tptp.u)) % 204.86/205.13 (define @t37 () (not @t36)) % 204.86/205.13 (define @t38 () (not @t32)) % 204.86/205.13 (define @t39 () (or @t38 @t37 @t35)) % 204.86/205.13 (define @t40 () (@list false false false)) % 204.86/205.13 (define @t41 () (tptp.equidistant tptp.y tptp.z tptp.v tptp.u)) % 204.86/205.13 (define @t42 () (not @t35)) % 204.86/205.13 (define @t43 () (not @t33)) % 204.86/205.13 (define @t44 () (or @t43 @t42 @t41)) % 204.86/205.13 (define @t45 () (tptp.equidistant tptp.v tptp.u tptp.y tptp.z)) % 204.86/205.13 (define @t46 () (not @t45)) % 204.86/205.13 (define @t47 () (tptp.equidistant tptp.v tptp.u tptp.u tptp.v)) % 204.86/205.13 (define @t48 () (not @t47)) % 204.86/205.13 (define @t49 () (or @t48 @t46 @t34)) % 204.86/205.13 (define @t50 () (tptp.equidistant tptp.y tptp.z tptp.y tptp.z)) % 204.86/205.13 (define @t51 () (or @t43 @t43 @t50)) % 204.86/205.13 (define @t52 () (not @t50)) % 204.86/205.13 (define @t53 () (not @t41)) % 204.86/205.13 (define @t54 () (or @t53 @t52 @t45)) % 204.86/205.13 (define @t55 () (not @t54)) % 204.86/205.13 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 204.86/205.13 (assume @p2 @t8) % 204.86/205.13 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t9))) % 204.86/205.13 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t10))) % 204.86/205.13 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t10 @t4 @t6))) % 204.86/205.13 (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)) @t9 (tptp.equidistant @t7 @t6 @t12 @t11)))) % 204.86/205.13 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t9))) % 204.86/205.13 (assume @p8 (forall @t20 (or @t19 @t18 (tptp.between @t6 @t17 @t2)))) % 204.86/205.13 (assume @p9 (forall @t20 (or @t19 @t18 (tptp.between @t1 @t17 @t16)))) % 204.86/205.13 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 204.86/205.13 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 204.86/205.13 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 204.86/205.13 (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)))) % 204.86/205.13 (assume @p14 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t16 @t6 @t21)))) % 204.86/205.13 (assume @p15 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t16 @t1 @t26)))) % 204.86/205.13 (assume @p16 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t21 @t2 @t26)))) % 204.86/205.13 (assume @p17 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.between @t11 @t27 @t14)))) % 204.86/205.13 (assume @p18 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.equidistant @t16 @t4 @t16 @t27)))) % 204.86/205.13 (assume @p19 @t32) % 204.86/205.13 (assume @p20 @t33) % 204.86/205.13 (assume @p21 (not @t34)) % 204.86/205.13 (step @p22 :rule instantiate :premises (@p2) :args ((@list tptp.w tptp.x tptp.y tptp.z tptp.v tptp.u))) % 204.86/205.13 (step @p23 :rule instantiate :premises (@p2) :args ((@list tptp.u tptp.v tptp.w tptp.x tptp.v tptp.u))) % 204.86/205.13 (step @p24 :rule instantiate :premises (@p1) :args ((@list tptp.u tptp.v))) % 204.86/205.13 (step @p25 :rule cnf_or_pos :args (@t39)) % 204.86/205.13 (step @p26 :rule reordering :premises (@p25) :args ((or @t38 @t37 @t35 (not @t39)))) % 204.86/205.13 (step @p27 :rule chain_m_resolution :premises (@p26 @p19 @p24 @p23) :args (@t35 @t40 (@list @t32 @t36 @t39))) % 204.86/205.13 (step @p28 :rule cnf_or_pos :args (@t44)) % 204.86/205.13 (step @p29 :rule reordering :premises (@p28) :args ((or @t43 @t42 @t41 (not @t44)))) % 204.86/205.13 (step @p30 :rule chain_m_resolution :premises (@p29 @p20 @p27 @p22) :args (@t41 @t40 (@list @t33 @t35 @t44))) % 204.86/205.13 (step @p31 :rule instantiate :premises (@p2) :args ((@list tptp.v tptp.u tptp.u tptp.v tptp.y tptp.z))) % 204.86/205.13 (step @p32 :rule instantiate :premises (@p1) :args ((@list tptp.v tptp.u))) % 204.86/205.13 (step @p33 :rule cnf_or_pos :args (@t49)) % 204.86/205.13 (step @p34 :rule reordering :premises (@p33) :args ((or @t34 @t46 @t48 (not @t49)))) % 204.86/205.13 (step @p35 :rule chain_m_resolution :premises (@p34 @p21 @p32 @p31) :args (@t46 (@list true false false) (@list @t34 @t47 @t49))) % 204.86/205.13 (step @p36 :rule instantiate :premises (@p2) :args ((@list tptp.w tptp.x tptp.y tptp.z tptp.y tptp.z))) % 204.86/205.13 (step @p37 :rule cnf_or_pos :args (@t51)) % 204.86/205.13 (step @p38 :rule factoring :premises (@p37)) % 204.86/205.13 (step @p39 :rule reordering :premises (@p38) :args ((or @t43 @t50 (not @t51)))) % 204.86/205.13 (step @p40 :rule chain_m_resolution :premises (@p39 @p20 @p36) :args (@t50 (@list false false) (@list @t33 @t51))) % 204.86/205.13 (step @p41 :rule cnf_or_pos :args (@t54)) % 204.86/205.13 (step @p42 :rule reordering :premises (@p41) :args ((or @t52 @t45 @t53 @t55))) % 204.86/205.13 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p35 @p30) :args (@t55 (@list false true false) (@list @t50 @t45 @t41))) % 204.86/205.13 (assume-push @p50 @t8) % 204.86/205.13 (step @p45 :rule instantiate :premises (@p2) :args ((@list tptp.y tptp.z tptp.v tptp.u tptp.y tptp.z))) % 204.86/205.13 (step-pop @p51 :rule scope :premises (@p45)) % 204.86/205.13 (step @p46 :rule process_scope :premises (@p51) :args (@t54)) % 204.86/205.13 (step @p48 :rule implies_elim :premises (@p46)) % 204.86/205.13 (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p2) :args (false (@list true false) (@list @t54 @t8))) % 204.86/205.13 ) % 204.86/205.13 % SZS output end Proof % 204.86/205.13 % cvc5 exiting %------------------------------------------------------------------------------