%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO043-3 : 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 : n025.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 08:16:11 AM UTC 2026 % Result : Unsatisfiable 0.73s 0.96s % Output : Proof 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO043-3 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.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 23:11:16 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.73/0.96 % SZS status Unsatisfiable % 0.73/0.96 % SZS output start Proof % 0.73/0.97 ( % 0.73/0.97 (declare-sort $$unsorted 0) % 0.73/0.97 (declare-const tptp.x $$unsorted) % 0.73/0.97 (declare-const tptp.u $$unsorted) % 0.73/0.97 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.97 (declare-const tptp.v $$unsorted) % 0.73/0.97 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.73/0.97 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.97 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 0.73/0.97 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.73/0.97 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.73/0.97 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.73/0.97 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.73/0.97 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.73/0.97 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.73/0.97 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.73/0.97 (declare-const tptp.w $$unsorted) % 0.73/0.97 (define @t1 () (@var "X" $$unsorted)) % 0.73/0.97 (define @t2 () (@var "Y" $$unsorted)) % 0.73/0.97 (define @t3 () (@list @t1 @t2)) % 0.73/0.97 (define @t4 () (@var "W" $$unsorted)) % 0.73/0.97 (define @t5 () (@var "V2" $$unsorted)) % 0.73/0.97 (define @t6 () (@var "V" $$unsorted)) % 0.73/0.97 (define @t7 () (@var "Z" $$unsorted)) % 0.73/0.97 (define @t8 () (= @t1 @t2)) % 0.73/0.97 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 0.73/0.97 (define @t10 () (@var "V1" $$unsorted)) % 0.73/0.97 (define @t11 () (@var "Z1" $$unsorted)) % 0.73/0.97 (define @t12 () (@var "Y1" $$unsorted)) % 0.73/0.97 (define @t13 () (@var "X1" $$unsorted)) % 0.73/0.97 (define @t14 () (tptp.between @t1 @t2 @t7)) % 0.73/0.97 (define @t15 () (@var "U" $$unsorted)) % 0.73/0.97 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 0.73/0.97 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 0.73/0.97 (define @t18 () (tptp.between @t15 @t6 @t4)) % 0.73/0.97 (define @t19 () (not @t18)) % 0.73/0.97 (define @t20 () (@list @t15 @t6 @t4 @t2 @t1)) % 0.73/0.97 (define @t21 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 0.73/0.97 (define @t22 () (= @t15 @t4)) % 0.73/0.97 (define @t23 () (tptp.between @t6 @t4 @t1)) % 0.73/0.97 (define @t24 () (not @t23)) % 0.73/0.97 (define @t25 () (not (tptp.between @t15 @t4 @t2))) % 0.73/0.97 (define @t26 () (@list @t15 @t4 @t2 @t6 @t1)) % 0.73/0.97 (define @t27 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 0.73/0.97 (define @t28 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 0.73/0.97 (define @t29 () (not (tptp.between @t15 @t6 @t1))) % 0.73/0.97 (define @t30 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 0.73/0.97 (define @t31 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 0.73/0.97 (define @t32 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 0.73/0.97 (define @t33 () (tptp.extension @t15 @t6 @t15 @t6)) % 0.73/0.97 (define @t34 () (tptp.reflection @t15 @t6)) % 0.73/0.97 (define @t35 () (@list @t15 @t6)) % 0.73/0.97 (define @t36 () (not (tptp.equidistant @t15 @t6 @t4 @t1))) % 0.73/0.97 (define @t37 () (@list @t15 @t6 @t4 @t1)) % 0.73/0.97 (define @t38 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 0.73/0.97 (define @t39 () (tptp.extension @t15 @t6 @t4 @t1)) % 0.73/0.97 (define @t40 () (@list @t6 @t15)) % 0.73/0.97 (define @t41 () (= @t6 @t34)) % 0.73/0.97 (define @t42 () (= @t15 @t6)) % 0.73/0.97 (define @t43 () (@var "W1" $$unsorted)) % 0.73/0.97 (define @t44 () (@var "U1" $$unsorted)) % 0.73/0.97 (define @t45 () (@list @t15 @t6 @t4)) % 0.73/0.97 (define @t46 () (tptp.reflection @t34 @t6)) % 0.73/0.97 (define @t47 () (not (tptp.between @t6 @t15 @t4))) % 0.73/0.97 (define @t48 () (= @t6 @t4)) % 0.73/0.97 (define @t49 () (not (tptp.between @t15 @t4 @t6))) % 0.73/0.97 (define @t50 () (tptp.between tptp.u tptp.v tptp.w)) % 0.73/0.97 (define @t51 () (tptp.between tptp.u tptp.w tptp.x)) % 0.73/0.97 (define @t52 () (tptp.between tptp.v tptp.w tptp.x)) % 0.73/0.97 (define @t53 () (tptp.between tptp.x tptp.w tptp.v)) % 0.73/0.97 (define @t54 () (not @t53)) % 0.73/0.97 (define @t55 () (or @t54 @t52)) % 0.73/0.97 (define @t56 () (tptp.inner_pasch tptp.w tptp.v tptp.u tptp.w tptp.x)) % 0.73/0.97 (define @t57 () (@list tptp.w tptp.v tptp.u tptp.x tptp.w)) % 0.73/0.97 (define @t58 () (tptp.between tptp.x tptp.w tptp.u)) % 0.73/0.97 (define @t59 () (not @t51)) % 0.73/0.97 (define @t60 () (or @t59 @t58)) % 0.73/0.97 (define @t61 () (@list false false)) % 0.73/0.97 (define @t62 () (tptp.between tptp.w tptp.v tptp.u)) % 0.73/0.97 (define @t63 () (not @t50)) % 0.73/0.97 (define @t64 () (or @t63 @t62)) % 0.73/0.97 (define @t65 () (tptp.between tptp.w @t56 tptp.w)) % 0.73/0.97 (define @t66 () (not @t58)) % 0.73/0.97 (define @t67 () (not @t62)) % 0.73/0.97 (define @t68 () (or @t67 @t66 @t65)) % 0.73/0.97 (define @t69 () (@list false false false)) % 0.73/0.97 (define @t70 () (= tptp.w @t56)) % 0.73/0.97 (define @t71 () (not @t65)) % 0.73/0.97 (define @t72 () (or @t71 @t70)) % 0.73/0.97 (define @t73 () (tptp.between tptp.v @t56 tptp.x)) % 0.73/0.97 (define @t74 () (or @t67 @t66 @t73)) % 0.73/0.97 (define @t75 () (tptp.between tptp.x @t56 tptp.v)) % 0.73/0.97 (define @t76 () (not @t73)) % 0.73/0.97 (define @t77 () (or @t76 @t75)) % 0.73/0.97 (define @t78 () (not @t75)) % 0.73/0.97 (define @t79 () (not @t70)) % 0.73/0.97 (define @t80 () (and @t54 @t70)) % 0.73/0.97 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 0.73/0.97 (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)))) % 0.73/0.97 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 0.73/0.97 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 0.73/0.97 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 0.73/0.97 (assume @p6 (forall (@list @t1 @t2 @t13 @t12 @t7 @t11 @t6 @t10) (or (not (tptp.equidistant @t1 @t2 @t13 @t12)) (not (tptp.equidistant @t2 @t7 @t12 @t11)) (not (tptp.equidistant @t1 @t6 @t13 @t10)) (not (tptp.equidistant @t2 @t6 @t12 @t10)) (not @t14) (not (tptp.between @t13 @t12 @t11)) @t8 (tptp.equidistant @t7 @t6 @t11 @t10)))) % 0.73/0.97 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 0.73/0.97 (assume @p8 (forall @t20 (or @t19 @t17 (tptp.between @t6 @t16 @t2)))) % 0.73/0.97 (assume @p9 (forall @t20 (or @t19 @t17 (tptp.between @t1 @t16 @t15)))) % 0.73/0.97 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.73/0.97 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 0.73/0.97 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.73/0.97 (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)) @t14 (tptp.between @t2 @t7 @t1) (tptp.between @t7 @t1 @t2) (= @t4 @t6)))) % 0.73/0.97 (assume @p14 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t15 @t6 @t21)))) % 0.73/0.97 (assume @p15 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t15 @t1 @t27)))) % 0.73/0.97 (assume @p16 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t21 @t2 @t27)))) % 0.73/0.97 (assume @p17 (forall @t32 (or @t31 @t30 @t29 @t24 (tptp.between @t10 @t28 @t13)))) % 0.73/0.97 (assume @p18 (forall @t32 (or @t31 @t30 @t29 @t24 (tptp.equidistant @t15 @t4 @t15 @t28)))) % 0.73/0.97 (assume @p19 (forall @t35 (= @t34 @t33))) % 0.73/0.97 (assume @p20 (forall @t35 (tptp.equidistant @t15 @t6 @t15 @t6))) % 0.73/0.97 (assume @p21 (forall @t37 (or @t36 (tptp.equidistant @t4 @t1 @t15 @t6)))) % 0.73/0.97 (assume @p22 (forall @t37 (or @t36 (tptp.equidistant @t6 @t15 @t4 @t1)))) % 0.73/0.97 (assume @p23 (forall @t37 (or @t36 (tptp.equidistant @t15 @t6 @t1 @t4)))) % 0.73/0.97 (assume @p24 (forall @t37 (or @t36 (tptp.equidistant @t6 @t15 @t1 @t4)))) % 0.73/0.97 (assume @p25 (forall @t37 (or @t36 (tptp.equidistant @t4 @t1 @t6 @t15)))) % 0.73/0.97 (assume @p26 (forall @t37 (or @t36 (tptp.equidistant @t1 @t4 @t15 @t6)))) % 0.73/0.97 (assume @p27 (forall @t37 (or @t36 (tptp.equidistant @t1 @t4 @t6 @t15)))) % 0.73/0.97 (assume @p28 (forall (@list @t15 @t6 @t4 @t1 @t2 @t7) (or @t36 @t38 (tptp.equidistant @t15 @t6 @t2 @t7)))) % 0.73/0.97 (assume @p29 (forall (@list @t6 @t15 @t4) (= @t6 (tptp.extension @t15 @t6 @t4 @t4)))) % 0.73/0.97 (assume @p30 (forall (@list @t2 @t15 @t6 @t4 @t1) (or (not (= @t2 @t39)) (tptp.between @t15 @t6 @t2)))) % 0.73/0.97 (assume @p31 (forall @t35 (tptp.between @t15 @t6 @t34))) % 0.73/0.97 (assume @p32 (forall @t40 (tptp.equidistant @t6 @t34 @t15 @t6))) % 0.73/0.97 (assume @p33 (forall @t35 (or (not @t42) @t41))) % 0.73/0.97 (assume @p34 (forall (@list @t15) (= @t15 (tptp.reflection @t15 @t15)))) % 0.73/0.97 (assume @p35 (forall @t40 (or (not @t41) @t42))) % 0.73/0.97 (assume @p36 (forall @t35 (tptp.equidistant @t15 @t15 @t6 @t6))) % 0.73/0.97 (assume @p37 (forall (@list @t15 @t6 @t44 @t10 @t4 @t43) (or (not (tptp.equidistant @t15 @t6 @t44 @t10)) (not (tptp.equidistant @t6 @t4 @t10 @t43)) @t19 (not (tptp.between @t44 @t10 @t43)) (tptp.equidistant @t15 @t4 @t44 @t43)))) % 0.73/0.97 (assume @p38 (forall @t37 (or @t19 @t29 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t42 (= @t4 @t1)))) % 0.73/0.97 (assume @p39 (forall @t45 (or @t19 @t42 (= @t4 (tptp.extension @t15 @t6 @t6 @t4))))) % 0.73/0.97 (assume @p40 (forall (@list @t4 @t1 @t2 @t7 @t15 @t6) (or @t38 (= @t39 (tptp.extension @t15 @t6 @t2 @t7)) @t42))) % 0.73/0.97 (assume @p41 (forall @t35 (or (= @t33 (tptp.extension @t15 @t6 @t6 @t15)) @t42))) % 0.73/0.97 (assume @p42 (forall @t40 (tptp.equidistant @t6 @t15 @t6 @t46))) % 0.73/0.97 (assume @p43 (forall @t35 (= @t15 @t46))) % 0.73/0.97 (assume @p44 (forall @t35 (tptp.between @t15 @t6 @t6))) % 0.73/0.97 (assume @p45 (forall (@list @t15 @t4 @t1 @t6) (or (not (tptp.between @t15 @t4 @t1)) (not (= @t15 @t1)) @t23))) % 0.73/0.97 (assume @p46 (forall @t45 (or @t19 (tptp.between @t4 @t6 @t15)))) % 0.73/0.97 (assume @p47 (forall @t35 (tptp.between @t15 @t15 @t6))) % 0.73/0.97 (assume @p48 (forall @t45 (or @t19 @t47 @t42))) % 0.73/0.97 (assume @p49 (forall @t45 (or @t19 @t49 @t48))) % 0.73/0.97 (assume @p50 (forall @t45 (or @t19 @t47 @t42 @t48))) % 0.73/0.97 (assume @p51 (forall @t45 (or @t19 @t49 @t42 @t48))) % 0.73/0.97 (assume @p52 (forall @t37 (or @t19 @t24 @t18))) % 0.73/0.97 (assume @p53 @t50) % 0.73/0.97 (assume @p54 @t51) % 0.73/0.97 (assume @p55 (not @t52)) % 0.73/0.97 (step @p56 :rule instantiate :premises (@p46) :args ((@list tptp.x tptp.w tptp.v))) % 0.73/0.97 (step @p57 :rule cnf_or_pos :args (@t55)) % 0.73/0.97 (step @p58 :rule reordering :premises (@p57) :args ((or @t52 @t54 (not @t55)))) % 0.73/0.97 (step @p59 :rule chain_m_resolution :premises (@p58 @p55 @p56) :args (@t54 (@list true false) (@list @t52 @t55))) % 0.73/0.97 (step @p60 :rule instantiate :premises (@p7) :args ((@list tptp.w @t56))) % 0.73/0.97 (step @p61 :rule instantiate :premises (@p9) :args (@t57)) % 0.73/0.97 (step @p62 :rule instantiate :premises (@p46) :args ((@list tptp.u tptp.w tptp.x))) % 0.73/0.97 (step @p63 :rule cnf_or_pos :args (@t60)) % 0.73/0.97 (step @p64 :rule reordering :premises (@p63) :args ((or @t59 @t58 (not @t60)))) % 0.73/0.97 (step @p65 :rule chain_m_resolution :premises (@p64 @p54 @p62) :args (@t58 @t61 (@list @t51 @t60))) % 0.73/0.97 (step @p66 :rule instantiate :premises (@p46) :args ((@list tptp.u tptp.v tptp.w))) % 0.73/0.97 (step @p67 :rule cnf_or_pos :args (@t64)) % 0.73/0.97 (step @p68 :rule reordering :premises (@p67) :args ((or @t63 @t62 (not @t64)))) % 0.73/0.97 (step @p69 :rule chain_m_resolution :premises (@p68 @p53 @p66) :args (@t62 @t61 (@list @t50 @t64))) % 0.73/0.97 (step @p70 :rule cnf_or_pos :args (@t68)) % 0.73/0.97 (step @p71 :rule reordering :premises (@p70) :args ((or @t67 @t66 @t65 (not @t68)))) % 0.73/0.97 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p65 @p61) :args (@t65 @t69 (@list @t62 @t58 @t68))) % 0.73/0.97 (step @p73 :rule cnf_or_pos :args (@t72)) % 0.73/0.97 (step @p74 :rule reordering :premises (@p73) :args ((or @t71 @t70 (not @t72)))) % 0.73/0.97 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p60) :args (@t70 @t61 (@list @t65 @t72))) % 0.73/0.97 (step @p76 :rule instantiate :premises (@p46) :args ((@list tptp.v @t56 tptp.x))) % 0.73/0.97 (step @p77 :rule instantiate :premises (@p8) :args (@t57)) % 0.73/0.97 (step @p78 :rule cnf_or_pos :args (@t74)) % 0.73/0.97 (step @p79 :rule reordering :premises (@p78) :args ((or @t67 @t66 @t73 (not @t74)))) % 0.73/0.97 (step @p80 :rule chain_m_resolution :premises (@p79 @p69 @p65 @p77) :args (@t73 @t69 (@list @t62 @t58 @t74))) % 0.73/0.97 (step @p81 :rule cnf_or_pos :args (@t77)) % 0.73/0.97 (step @p82 :rule reordering :premises (@p81) :args ((or @t76 @t75 (not @t77)))) % 0.73/0.97 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p76) :args (@t75 @t61 (@list @t73 @t77))) % 0.73/0.97 (step @p84 :rule refl :args (@t78)) % 0.73/0.97 (step @p85 :rule refl :args (@t79)) % 0.73/0.97 (step @p86 :rule bool-double-not-elim :args (@t53)) % 0.73/0.97 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args ((or (not @t54) @t79 @t78))) % 0.73/0.97 (assume-push @p105 @t54) % 0.73/0.97 (assume-push @p106 @t70) % 0.73/0.97 (step @p90 :rule false_intro :premises (@p59)) % 0.73/0.97 (step @p91 :rule refl :args (tptp.v)) % 0.73/0.97 (step @p92 :rule symm :premises (@p75)) % 0.73/0.97 (step @p93 :rule refl :args (tptp.x)) % 0.73/0.97 (step @p94 :rule cong :premises (@p93 @p92 @p91) :args (@t75)) % 0.73/0.97 (step @p95 :rule trans :premises (@p94 @p90)) % 0.73/0.97 (step @p96 :rule false_elim :premises (@p95)) % 0.73/0.97 (step-pop @p107 :rule scope :premises (@p96)) % 0.73/0.97 (step-pop @p108 :rule scope :premises (@p107)) % 0.73/0.97 (step @p97 :rule process_scope :premises (@p108) :args (@t78)) % 0.73/0.97 (step @p100 :rule implies_elim :premises (@p97)) % 0.73/0.97 (step @p101 :rule cnf_and_neg :args (@t80)) % 0.73/0.97 (step @p102 :rule resolution :premises (@p101 @p100) :args (true @t80)) % 0.73/0.97 (step @p103 :rule eq_resolve :premises (@p102 @p87)) % 0.73/0.97 (step @p104 false :rule chain_m_resolution :premises (@p103 @p83 @p75 @p59) :args (false (@list false false true) (@list @t75 @t70 @t53))) % 0.73/0.97 ) % 0.73/0.97 % SZS output end Proof % 0.73/0.97 % cvc5 exiting %------------------------------------------------------------------------------