%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO036-3 : 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 : n019.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 08:16:10 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO036-3 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 23:10:49 EDT 2026 % 0.17/0.34 % 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... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.39/0.58 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.39/0.58 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.39/0.58 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t3 () (@list @t1 @t2)) % 0.39/0.58 (define @t4 () (@var "W" $$unsorted)) % 0.39/0.58 (define @t5 () (@var "V2" $$unsorted)) % 0.39/0.58 (define @t6 () (@var "V" $$unsorted)) % 0.39/0.58 (define @t7 () (@var "Z" $$unsorted)) % 0.39/0.58 (define @t8 () (= @t1 @t2)) % 0.39/0.58 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 0.39/0.58 (define @t10 () (@var "V1" $$unsorted)) % 0.39/0.58 (define @t11 () (@var "Z1" $$unsorted)) % 0.39/0.58 (define @t12 () (@var "Y1" $$unsorted)) % 0.39/0.58 (define @t13 () (@var "X1" $$unsorted)) % 0.39/0.58 (define @t14 () (tptp.between @t1 @t2 @t7)) % 0.39/0.58 (define @t15 () (@var "U" $$unsorted)) % 0.39/0.58 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 0.39/0.58 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 0.39/0.58 (define @t18 () (tptp.between @t15 @t6 @t4)) % 0.39/0.58 (define @t19 () (not @t18)) % 0.39/0.58 (define @t20 () (@list @t15 @t6 @t4 @t2 @t1)) % 0.39/0.58 (define @t21 () (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) % 0.39/0.58 (define @t22 () (not @t21)) % 0.39/0.58 (define @t23 () (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) % 0.39/0.58 (define @t24 () (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 0.39/0.58 (define @t25 () (not @t24)) % 0.39/0.58 (define @t26 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 0.39/0.58 (define @t27 () (= @t15 @t4)) % 0.39/0.58 (define @t28 () (tptp.between @t6 @t4 @t1)) % 0.39/0.58 (define @t29 () (not @t28)) % 0.39/0.58 (define @t30 () (not (tptp.between @t15 @t4 @t2))) % 0.39/0.58 (define @t31 () (@list @t15 @t4 @t2 @t6 @t1)) % 0.39/0.58 (define @t32 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 0.39/0.58 (define @t33 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 0.39/0.58 (define @t34 () (tptp.between @t15 @t6 @t1)) % 0.39/0.58 (define @t35 () (not @t34)) % 0.39/0.58 (define @t36 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 0.39/0.58 (define @t37 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 0.39/0.58 (define @t38 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 0.39/0.58 (define @t39 () (tptp.extension @t15 @t6 @t15 @t6)) % 0.39/0.58 (define @t40 () (tptp.reflection @t15 @t6)) % 0.39/0.58 (define @t41 () (@list @t15 @t6)) % 0.39/0.58 (define @t42 () (not (tptp.equidistant @t15 @t6 @t4 @t1))) % 0.39/0.58 (define @t43 () (@list @t15 @t6 @t4 @t1)) % 0.39/0.58 (define @t44 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 0.39/0.58 (define @t45 () (tptp.extension @t15 @t6 @t4 @t1)) % 0.39/0.58 (define @t46 () (@list @t6 @t15)) % 0.39/0.58 (define @t47 () (= @t6 @t40)) % 0.39/0.58 (define @t48 () (= @t15 @t6)) % 0.39/0.58 (define @t49 () (@var "W1" $$unsorted)) % 0.39/0.58 (define @t50 () (@var "U1" $$unsorted)) % 0.39/0.58 (define @t51 () (@list @t15 @t6 @t4)) % 0.39/0.58 (define @t52 () (tptp.reflection @t40 @t6)) % 0.39/0.58 (define @t53 () (forall @t41 (tptp.between @t15 @t6 @t6))) % 0.39/0.58 (define @t54 () (not (= @t15 @t1))) % 0.39/0.58 (define @t55 () (tptp.between @t15 @t4 @t1)) % 0.39/0.58 (define @t56 () (not @t55)) % 0.39/0.58 (define @t57 () (or @t56 @t54 @t28)) % 0.39/0.58 (define @t58 () (@list @t15 @t4 @t1 @t6)) % 0.39/0.58 (define @t59 () (forall @t58 @t57)) % 0.39/0.58 (define @t60 () (not (tptp.between @t6 @t15 @t4))) % 0.39/0.58 (define @t61 () (= @t6 @t4)) % 0.39/0.58 (define @t62 () (not (tptp.between @t15 @t4 @t6))) % 0.39/0.58 (define @t63 () (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3)) % 0.39/0.58 (define @t64 () (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) % 0.39/0.58 (define @t65 () (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 0.39/0.58 (define @t66 () (tptp.between @t6 @t4 @t15)) % 0.39/0.58 (define @t67 () (not (tptp.between @t15 @t4 @t15))) % 0.39/0.58 (define @t68 () (not (= @t15 @t15))) % 0.39/0.58 (define @t69 () (or @t67 @t68 @t66)) % 0.39/0.58 (define @t70 () (@list @t15 @t4 @t6)) % 0.39/0.58 (define @t71 () (not (= @t1 @t15))) % 0.39/0.58 (define @t72 () (or @t71 @t56 @t71 @t28)) % 0.39/0.58 (define @t73 () (@list @t1)) % 0.39/0.58 (define @t74 () (or @t56 @t71 @t28)) % 0.39/0.58 (define @t75 () (forall @t73 @t74)) % 0.39/0.58 (define @t76 () (forall @t70 @t75)) % 0.39/0.58 (define @t77 () (forall (@list @t15 @t4 @t6 @t1) @t74)) % 0.39/0.58 (define @t78 () (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) % 0.39/0.58 (define @t79 () (not @t78)) % 0.39/0.58 (define @t80 () (or @t79 @t23)) % 0.39/0.58 (define @t81 () (@list true false)) % 0.39/0.58 (define @t82 () (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 tptp.lower_dimension_point_3)) % 0.39/0.58 (define @t83 () (not @t82)) % 0.39/0.58 (define @t84 () (not @t63)) % 0.39/0.58 (define @t85 () (and @t79 @t63 @t82)) % 0.39/0.58 (define @t86 () (not @t64)) % 0.39/0.58 (define @t87 () (and @t82 @t64 @t22)) % 0.39/0.58 (define @t88 () (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2)) % 0.39/0.58 (define @t89 () (not @t88)) % 0.39/0.58 (define @t90 () (not @t65)) % 0.39/0.58 (define @t91 () (and @t25 @t65)) % 0.39/0.58 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 0.39/0.58 (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)))) % 0.39/0.58 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 0.39/0.58 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 0.39/0.58 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 0.39/0.58 (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)))) % 0.39/0.58 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 0.39/0.58 (assume @p8 (forall @t20 (or @t19 @t17 (tptp.between @t6 @t16 @t2)))) % 0.39/0.58 (assume @p9 (forall @t20 (or @t19 @t17 (tptp.between @t1 @t16 @t15)))) % 0.39/0.58 (assume @p10 @t22) % 0.39/0.58 (assume @p11 (not @t23)) % 0.39/0.58 (assume @p12 @t25) % 0.39/0.58 (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)))) % 0.39/0.58 (assume @p14 (forall @t31 (or @t30 @t29 @t27 (tptp.between @t15 @t6 @t26)))) % 0.39/0.58 (assume @p15 (forall @t31 (or @t30 @t29 @t27 (tptp.between @t15 @t1 @t32)))) % 0.39/0.58 (assume @p16 (forall @t31 (or @t30 @t29 @t27 (tptp.between @t26 @t2 @t32)))) % 0.39/0.58 (assume @p17 (forall @t38 (or @t37 @t36 @t35 @t29 (tptp.between @t10 @t33 @t13)))) % 0.39/0.58 (assume @p18 (forall @t38 (or @t37 @t36 @t35 @t29 (tptp.equidistant @t15 @t4 @t15 @t33)))) % 0.39/0.58 (assume @p19 (forall @t41 (= @t40 @t39))) % 0.39/0.58 (assume @p20 (forall @t41 (tptp.equidistant @t15 @t6 @t15 @t6))) % 0.39/0.58 (assume @p21 (forall @t43 (or @t42 (tptp.equidistant @t4 @t1 @t15 @t6)))) % 0.39/0.58 (assume @p22 (forall @t43 (or @t42 (tptp.equidistant @t6 @t15 @t4 @t1)))) % 0.39/0.58 (assume @p23 (forall @t43 (or @t42 (tptp.equidistant @t15 @t6 @t1 @t4)))) % 0.39/0.58 (assume @p24 (forall @t43 (or @t42 (tptp.equidistant @t6 @t15 @t1 @t4)))) % 0.39/0.58 (assume @p25 (forall @t43 (or @t42 (tptp.equidistant @t4 @t1 @t6 @t15)))) % 0.39/0.58 (assume @p26 (forall @t43 (or @t42 (tptp.equidistant @t1 @t4 @t15 @t6)))) % 0.39/0.58 (assume @p27 (forall @t43 (or @t42 (tptp.equidistant @t1 @t4 @t6 @t15)))) % 0.39/0.58 (assume @p28 (forall (@list @t15 @t6 @t4 @t1 @t2 @t7) (or @t42 @t44 (tptp.equidistant @t15 @t6 @t2 @t7)))) % 0.39/0.58 (assume @p29 (forall (@list @t6 @t15 @t4) (= @t6 (tptp.extension @t15 @t6 @t4 @t4)))) % 0.39/0.58 (assume @p30 (forall (@list @t2 @t15 @t6 @t4 @t1) (or (not (= @t2 @t45)) (tptp.between @t15 @t6 @t2)))) % 0.39/0.58 (assume @p31 (forall @t41 (tptp.between @t15 @t6 @t40))) % 0.39/0.58 (assume @p32 (forall @t46 (tptp.equidistant @t6 @t40 @t15 @t6))) % 0.39/0.58 (assume @p33 (forall @t41 (or (not @t48) @t47))) % 0.39/0.58 (assume @p34 (forall (@list @t15) (= @t15 (tptp.reflection @t15 @t15)))) % 0.39/0.58 (assume @p35 (forall @t46 (or (not @t47) @t48))) % 0.39/0.58 (assume @p36 (forall @t41 (tptp.equidistant @t15 @t15 @t6 @t6))) % 0.39/0.58 (assume @p37 (forall (@list @t15 @t6 @t50 @t10 @t4 @t49) (or (not (tptp.equidistant @t15 @t6 @t50 @t10)) (not (tptp.equidistant @t6 @t4 @t10 @t49)) @t19 (not (tptp.between @t50 @t10 @t49)) (tptp.equidistant @t15 @t4 @t50 @t49)))) % 0.39/0.58 (assume @p38 (forall @t43 (or @t19 @t35 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t48 (= @t4 @t1)))) % 0.39/0.58 (assume @p39 (forall @t51 (or @t19 @t48 (= @t4 (tptp.extension @t15 @t6 @t6 @t4))))) % 0.39/0.58 (assume @p40 (forall (@list @t4 @t1 @t2 @t7 @t15 @t6) (or @t44 (= @t45 (tptp.extension @t15 @t6 @t2 @t7)) @t48))) % 0.39/0.58 (assume @p41 (forall @t41 (or (= @t39 (tptp.extension @t15 @t6 @t6 @t15)) @t48))) % 0.39/0.58 (assume @p42 (forall @t46 (tptp.equidistant @t6 @t15 @t6 @t52))) % 0.39/0.58 (assume @p43 (forall @t41 (= @t15 @t52))) % 0.39/0.58 (assume @p44 @t53) % 0.39/0.58 (assume @p45 @t59) % 0.39/0.58 (assume @p46 (forall @t51 (or @t19 (tptp.between @t4 @t6 @t15)))) % 0.39/0.58 (assume @p47 (forall @t41 (tptp.between @t15 @t15 @t6))) % 0.39/0.58 (assume @p48 (forall @t51 (or @t19 @t60 @t48))) % 0.39/0.58 (assume @p49 (forall @t51 (or @t19 @t62 @t61))) % 0.39/0.58 (assume @p50 (forall @t51 (or @t19 @t60 @t48 @t61))) % 0.39/0.58 (assume @p51 (forall @t51 (or @t19 @t62 @t48 @t61))) % 0.39/0.58 (assume @p52 (forall @t43 (or @t19 @t29 @t18))) % 0.39/0.58 (assume @p53 (forall @t43 (or @t19 @t56 @t28))) % 0.39/0.58 (assume @p54 (forall @t43 (or @t19 @t29 @t55 @t61))) % 0.39/0.58 (assume @p55 (forall @t43 (or @t19 @t29 @t34 @t61))) % 0.39/0.58 (assume @p56 (forall (@list @t15 @t6 @t1 @t4) (or @t35 @t29 @t55))) % 0.39/0.58 (assume @p57 (forall @t43 (or @t19 @t56 @t34))) % 0.39/0.58 (assume @p58 (or @t65 @t64 @t63)) % 0.39/0.58 (step @p59 :rule instantiate :premises (@p44) :args ((@list tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) % 0.39/0.58 (step @p60 :rule aci_norm :args ((= (or @t67 false @t66) (or @t67 @t66)))) % 0.39/0.58 (step @p61 :rule refl :args (@t66)) % 0.39/0.58 (step @p62 :rule evaluate :args ((not true))) % 0.39/0.58 (step @p63 :rule eq-refl :args (@t15)) % 0.39/0.58 (step @p64 :rule cong :premises (@p63) :args (@t68)) % 0.39/0.58 (step @p65 :rule trans :premises (@p64 @p62)) % 0.39/0.58 (step @p66 :rule refl :args (@t67)) % 0.39/0.58 (step @p67 :rule nary_cong :premises (@p66 @p65 @p61) :args (@t69)) % 0.39/0.58 (step @p68 :rule trans :premises (@p67 @p60)) % 0.39/0.58 (step @p69 :rule cong :premises (@p68) :args ((forall @t70 @t69))) % 0.39/0.58 (step @p70 :rule quant-var-elim-eq :args ((= (forall @t73 @t72) @t69))) % 0.39/0.58 (step @p71 :rule aci_norm :args ((= @t74 @t72))) % 0.39/0.58 (step @p72 :rule cong :premises (@p71) :args (@t75)) % 0.39/0.58 (step @p73 :rule trans :premises (@p72 @p70)) % 0.39/0.58 (step @p74 :rule cong :premises (@p73) :args (@t76)) % 0.39/0.58 (step @p75 :rule quant-merge-prenex :args ((= @t76 @t77))) % 0.39/0.58 (step @p76 :rule symm :premises (@p75)) % 0.39/0.58 (step @p77 :rule quant_var_reordering :args ((= (forall @t58 @t74) @t77))) % 0.39/0.58 (step @p78 :rule trans :premises (@p77 @p76 @p74)) % 0.39/0.58 (step @p79 :rule trans :premises (@p78 @p69)) % 0.39/0.58 (step @p80 :rule refl :args (@t28)) % 0.39/0.58 (step @p81 :rule eq-symm :args (@t15 @t1)) % 0.39/0.58 (step @p82 :rule cong :premises (@p81) :args (@t54)) % 0.39/0.58 (step @p83 :rule refl :args (@t56)) % 0.39/0.58 (step @p84 :rule nary_cong :premises (@p83 @p82 @p80) :args (@t57)) % 0.39/0.58 (step @p85 :rule cong :premises (@p84) :args (@t59)) % 0.39/0.58 (step @p86 :rule trans :premises (@p85 @p79)) % 0.39/0.58 (step @p87 :rule eq_resolve :premises (@p45 @p86)) % 0.39/0.58 (step @p88 :rule instantiate :premises (@p87) :args ((@list tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 tptp.lower_dimension_point_2))) % 0.39/0.58 (step @p89 :rule cnf_or_pos :args (@t80)) % 0.39/0.58 (step @p90 :rule reordering :premises (@p89) :args ((or @t23 @t79 (not @t80)))) % 0.39/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p11 @p88) :args (@t79 @t81 (@list @t23 @t80))) % 0.39/0.58 (step @p92 :rule bool-double-not-elim :args (@t78)) % 0.39/0.58 (step @p93 :rule refl :args (@t83)) % 0.39/0.58 (step @p94 :rule refl :args (@t84)) % 0.39/0.58 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args ((or @t84 @t83 (not @t79)))) % 0.39/0.58 (assume-push @p190 @t79) % 0.39/0.58 (assume-push @p191 @t63) % 0.39/0.58 (assume-push @p192 @t82) % 0.39/0.58 (step @p99 :rule evaluate :args ((= true false))) % 0.39/0.58 (step @p100 :rule false_intro :premises (@p91)) % 0.39/0.58 (step @p101 :rule symm :premises (@p191)) % 0.39/0.58 (step @p102 :rule refl :args (tptp.lower_dimension_point_3)) % 0.39/0.58 (step @p103 :rule refl :args (tptp.lower_dimension_point_1)) % 0.39/0.58 (step @p104 :rule cong :premises (@p103 @p102 @p101) :args (@t82)) % 0.39/0.58 (step @p105 :rule true_intro :premises (@p59)) % 0.39/0.58 (step @p106 :rule symm :premises (@p105)) % 0.39/0.58 (step @p107 :rule trans :premises (@p106 @p104 @p100)) % 0.39/0.58 (step @p108 false :rule eq_resolve :premises (@p107 @p99)) % 0.39/0.58 (step-pop @p193 :rule scope :premises (@p108)) % 0.39/0.58 (step-pop @p194 :rule scope :premises (@p193)) % 0.39/0.58 (step-pop @p195 :rule scope :premises (@p194)) % 0.39/0.58 (step @p109 :rule process_scope :premises (@p195) :args (false)) % 0.39/0.58 (assume-push @p196 @t63) % 0.39/0.58 (assume-push @p197 @t82) % 0.39/0.58 (assume-push @p198 @t79) % 0.39/0.58 (step @p116 :rule and_intro :premises (@p91 @p196 @p59)) % 0.39/0.58 (step-pop @p199 :rule scope :premises (@p116)) % 0.39/0.58 (step-pop @p200 :rule scope :premises (@p199)) % 0.39/0.58 (step-pop @p201 :rule scope :premises (@p200)) % 0.39/0.58 (step @p117 :rule process_scope :premises (@p201) :args (@t85)) % 0.39/0.58 (step @p121 :rule implies_elim :premises (@p117)) % 0.39/0.58 (step @p122 :rule resolution :premises (@p121 @p109) :args (true @t85)) % 0.39/0.58 (step @p123 :rule not_and :premises (@p122)) % 0.39/0.58 (step @p124 :rule eq_resolve :premises (@p123 @p95)) % 0.39/0.58 (step @p125 :rule reordering :premises (@p124) :args ((or @t84 @t78 @t83))) % 0.39/0.58 (step @p126 :rule chain_m_resolution :premises (@p125 @p91 @p59) :args (@t84 @t81 (@list @t78 @t82))) % 0.39/0.58 (step @p127 :rule refl :args (@t86)) % 0.39/0.58 (step @p128 :rule bool-double-not-elim :args (@t21)) % 0.39/0.58 (step @p129 :rule nary_cong :premises (@p128 @p127 @p93) :args ((or (not @t22) @t86 @t83))) % 0.39/0.58 (assume-push @p202 @t82) % 0.39/0.58 (assume-push @p203 @t64) % 0.39/0.58 (assume-push @p204 @t22) % 0.39/0.58 (step @p133 :rule evaluate :args ((= false true))) % 0.39/0.58 (step @p105 :rule true_intro :premises (@p59)) % 0.39/0.58 (step @p102 :rule refl :args (tptp.lower_dimension_point_3)) % 0.39/0.58 (step @p103 :rule refl :args (tptp.lower_dimension_point_1)) % 0.39/0.58 (step @p134 :rule cong :premises (@p103 @p203 @p102) :args (@t21)) % 0.39/0.58 (step @p135 :rule false_intro :premises (@p10)) % 0.39/0.58 (step @p136 :rule symm :premises (@p135)) % 0.39/0.58 (step @p137 :rule trans :premises (@p136 @p134 @p105)) % 0.39/0.58 (step @p138 false :rule eq_resolve :premises (@p137 @p133)) % 0.39/0.58 (step-pop @p205 :rule scope :premises (@p138)) % 0.39/0.58 (step-pop @p206 :rule scope :premises (@p205)) % 0.39/0.58 (step-pop @p207 :rule scope :premises (@p206)) % 0.39/0.58 (step @p139 :rule process_scope :premises (@p207) :args (false)) % 0.39/0.58 (assume-push @p208 @t22) % 0.39/0.58 (assume-push @p209 @t64) % 0.39/0.58 (assume-push @p210 @t82) % 0.39/0.58 (step @p146 :rule and_intro :premises (@p59 @p209 @p10)) % 0.39/0.58 (step-pop @p211 :rule scope :premises (@p146)) % 0.39/0.58 (step-pop @p212 :rule scope :premises (@p211)) % 0.39/0.58 (step-pop @p213 :rule scope :premises (@p212)) % 0.39/0.58 (step @p147 :rule process_scope :premises (@p213) :args (@t87)) % 0.39/0.58 (step @p151 :rule implies_elim :premises (@p147)) % 0.39/0.58 (step @p152 :rule resolution :premises (@p151 @p139) :args (true @t87)) % 0.39/0.58 (step @p153 :rule not_and :premises (@p152)) % 0.39/0.58 (step @p154 :rule eq_resolve :premises (@p153 @p129)) % 0.39/0.58 (step @p155 :rule chain_m_resolution :premises (@p154 @p10 @p59) :args (@t86 @t81 (@list @t21 @t82))) % 0.39/0.58 (step @p156 :rule chain_m_resolution :premises (@p58 @p155 @p126) :args (@t65 (@list true true) (@list @t64 @t63))) % 0.39/0.58 (step @p157 :rule refl :args (@t89)) % 0.39/0.58 (step @p158 :rule refl :args (@t90)) % 0.39/0.58 (step @p159 :rule bool-double-not-elim :args (@t24)) % 0.39/0.58 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args ((or (not @t25) @t90 @t89))) % 0.39/0.58 (assume-push @p214 @t25) % 0.39/0.58 (assume-push @p215 @t65) % 0.39/0.58 (assume-push @p216 @t25) % 0.39/0.58 (assume-push @p217 @t65) % 0.39/0.58 (step @p165 :rule false_intro :premises (@p12)) % 0.39/0.58 (step @p166 :rule refl :args (tptp.lower_dimension_point_2)) % 0.39/0.58 (step @p167 :rule symm :premises (@p215)) % 0.39/0.58 (step @p102 :rule refl :args (tptp.lower_dimension_point_3)) % 0.39/0.58 (step @p168 :rule cong :premises (@p102 @p167 @p166) :args (@t88)) % 0.39/0.58 (step @p169 :rule trans :premises (@p168 @p165)) % 0.39/0.58 (step @p170 :rule false_elim :premises (@p169)) % 0.39/0.58 (step-pop @p218 :rule scope :premises (@p170)) % 0.39/0.58 (step-pop @p219 :rule scope :premises (@p218)) % 0.39/0.58 (step @p171 :rule process_scope :premises (@p219) :args (@t89)) % 0.39/0.58 (step @p174 :rule and_intro :premises (@p12 @p215)) % 0.39/0.58 (step @p175 :rule modus_ponens :premises (@p174 @p171)) % 0.39/0.58 (step-pop @p220 :rule scope :premises (@p175)) % 0.39/0.58 (step-pop @p221 :rule scope :premises (@p220)) % 0.39/0.58 (step @p176 :rule process_scope :premises (@p221) :args (@t89)) % 0.39/0.58 (step @p179 :rule implies_elim :premises (@p176)) % 0.39/0.58 (step @p180 :rule cnf_and_neg :args (@t91)) % 0.39/0.58 (step @p181 :rule resolution :premises (@p180 @p179) :args (true @t91)) % 0.39/0.58 (step @p182 :rule eq_resolve :premises (@p181 @p160)) % 0.39/0.58 (step @p183 :rule chain_m_resolution :premises (@p182 @p12 @p156) :args (@t89 @t81 (@list @t24 @t65))) % 0.39/0.58 (assume-push @p222 @t53) % 0.39/0.58 (step @p185 :rule instantiate :premises (@p44) :args ((@list tptp.lower_dimension_point_3 tptp.lower_dimension_point_2))) % 0.39/0.58 (step-pop @p223 :rule scope :premises (@p185)) % 0.39/0.58 (step @p186 :rule process_scope :premises (@p223) :args (@t88)) % 0.39/0.58 (step @p188 :rule implies_elim :premises (@p186)) % 0.39/0.58 (step @p189 false :rule chain_m_resolution :premises (@p188 @p183 @p44) :args (false @t81 (@list @t88 @t53))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------