%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO036-2 : 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 : n024.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 15.29s 15.58s % Output : Proof 15.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO036-2 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 18:10:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.20/15.47 --- Run --no-e-matching --full-saturate-quant at 6... % 15.29/15.58 % SZS status Unsatisfiable % 15.29/15.58 % SZS output start Proof % 15.29/15.58 ( % 15.29/15.58 (declare-sort $$unsorted 0) % 15.29/15.58 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.29/15.58 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.29/15.58 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 15.29/15.58 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 15.29/15.58 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.29/15.58 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 15.29/15.58 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.29/15.58 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.29/15.58 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.29/15.58 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 15.29/15.58 (define @t1 () (@var "X" $$unsorted)) % 15.29/15.58 (define @t2 () (@var "Y" $$unsorted)) % 15.29/15.58 (define @t3 () (@list @t1 @t2)) % 15.29/15.58 (define @t4 () (@var "W" $$unsorted)) % 15.29/15.58 (define @t5 () (@var "V2" $$unsorted)) % 15.29/15.58 (define @t6 () (@var "V" $$unsorted)) % 15.29/15.58 (define @t7 () (@var "Z" $$unsorted)) % 15.29/15.58 (define @t8 () (= @t1 @t2)) % 15.29/15.58 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 15.29/15.58 (define @t10 () (@var "V1" $$unsorted)) % 15.29/15.58 (define @t11 () (@var "Z1" $$unsorted)) % 15.29/15.58 (define @t12 () (@var "Y1" $$unsorted)) % 15.29/15.58 (define @t13 () (@var "X1" $$unsorted)) % 15.29/15.58 (define @t14 () (tptp.between @t1 @t2 @t7)) % 15.29/15.58 (define @t15 () (@var "U" $$unsorted)) % 15.29/15.58 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 15.29/15.58 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 15.29/15.58 (define @t18 () (not (tptp.between @t15 @t6 @t4))) % 15.29/15.58 (define @t19 () (@list @t15 @t6 @t4 @t2 @t1)) % 15.29/15.58 (define @t20 () (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) % 15.29/15.58 (define @t21 () (not @t20)) % 15.29/15.58 (define @t22 () (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) % 15.29/15.58 (define @t23 () (not @t22)) % 15.29/15.58 (define @t24 () (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 15.29/15.58 (define @t25 () (not @t24)) % 15.29/15.58 (define @t26 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 15.29/15.58 (define @t27 () (= @t15 @t4)) % 15.29/15.58 (define @t28 () (not (tptp.between @t6 @t4 @t1))) % 15.29/15.58 (define @t29 () (not (tptp.between @t15 @t4 @t2))) % 15.29/15.58 (define @t30 () (@list @t15 @t4 @t2 @t6 @t1)) % 15.29/15.58 (define @t31 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 15.29/15.58 (define @t32 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 15.29/15.58 (define @t33 () (not (tptp.between @t15 @t6 @t1))) % 15.29/15.58 (define @t34 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 15.29/15.58 (define @t35 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 15.29/15.58 (define @t36 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 15.29/15.58 (define @t37 () (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3)) % 15.29/15.58 (define @t38 () (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) % 15.29/15.58 (define @t39 () (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 15.29/15.58 (define @t40 () (tptp.extension tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2)) % 15.29/15.58 (define @t41 () (= tptp.lower_dimension_point_1 @t40)) % 15.29/15.58 (define @t42 () (tptp.equidistant tptp.lower_dimension_point_1 @t40 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2)) % 15.29/15.58 (define @t43 () (not @t42)) % 15.29/15.58 (define @t44 () (or @t43 @t41)) % 15.29/15.58 (define @t45 () (@list false false)) % 15.29/15.58 (define @t46 () (tptp.extension tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1)) % 15.29/15.58 (define @t47 () (= tptp.lower_dimension_point_2 @t46)) % 15.29/15.58 (define @t48 () (tptp.equidistant tptp.lower_dimension_point_2 @t46 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1)) % 15.29/15.58 (define @t49 () (not @t48)) % 15.29/15.58 (define @t50 () (or @t49 @t47)) % 15.29/15.58 (define @t51 () (@list tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1)) % 15.29/15.58 (define @t52 () (not @t47)) % 15.29/15.58 (define @t53 () (tptp.extension tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1)) % 15.29/15.58 (define @t54 () (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 @t53)) % 15.29/15.58 (define @t55 () (not @t54)) % 15.29/15.58 (define @t56 () (not @t38)) % 15.29/15.58 (define @t57 () (and @t21 @t38 @t47 @t54)) % 15.29/15.58 (define @t58 () (@list true false false)) % 15.29/15.58 (define @t59 () (tptp.extension tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1)) % 15.29/15.58 (define @t60 () (= tptp.lower_dimension_point_1 @t59)) % 15.29/15.58 (define @t61 () (tptp.equidistant tptp.lower_dimension_point_1 @t59 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1)) % 15.29/15.58 (define @t62 () (not @t61)) % 15.29/15.58 (define @t63 () (or @t62 @t60)) % 15.29/15.58 (define @t64 () (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 @t59)) % 15.29/15.58 (define @t65 () (not @t64)) % 15.29/15.58 (define @t66 () (not @t60)) % 15.29/15.58 (define @t67 () (not @t39)) % 15.29/15.58 (define @t68 () (= false true)) % 15.29/15.58 (define @t69 () (and @t64 @t60 @t39 @t25)) % 15.29/15.58 (define @t70 () (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 (tptp.extension tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2))) % 15.29/15.58 (define @t71 () (not @t70)) % 15.29/15.58 (define @t72 () (not @t41)) % 15.29/15.58 (define @t73 () (not @t37)) % 15.29/15.58 (define @t74 () (and @t70 @t37 @t41 @t23)) % 15.29/15.58 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 15.29/15.58 (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)))) % 15.29/15.58 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 15.29/15.58 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 15.29/15.58 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 15.29/15.58 (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)))) % 15.29/15.58 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 15.29/15.58 (assume @p8 (forall @t19 (or @t18 @t17 (tptp.between @t6 @t16 @t2)))) % 15.29/15.58 (assume @p9 (forall @t19 (or @t18 @t17 (tptp.between @t1 @t16 @t15)))) % 15.29/15.58 (assume @p10 @t21) % 15.29/15.58 (assume @p11 @t23) % 15.29/15.58 (assume @p12 @t25) % 15.29/15.58 (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)))) % 15.29/15.58 (assume @p14 (forall @t30 (or @t29 @t28 @t27 (tptp.between @t15 @t6 @t26)))) % 15.29/15.58 (assume @p15 (forall @t30 (or @t29 @t28 @t27 (tptp.between @t15 @t1 @t31)))) % 15.29/15.58 (assume @p16 (forall @t30 (or @t29 @t28 @t27 (tptp.between @t26 @t2 @t31)))) % 15.29/15.58 (assume @p17 (forall @t36 (or @t35 @t34 @t33 @t28 (tptp.between @t10 @t32 @t13)))) % 15.29/15.58 (assume @p18 (forall @t36 (or @t35 @t34 @t33 @t28 (tptp.equidistant @t15 @t4 @t15 @t32)))) % 15.29/15.58 (assume @p19 (or @t39 @t38 @t37)) % 15.29/15.58 (step @p20 :rule instantiate :premises (@p3) :args ((@list tptp.lower_dimension_point_1 @t40 tptp.lower_dimension_point_2))) % 15.29/15.58 (step @p21 :rule instantiate :premises (@p5) :args ((@list tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2))) % 15.29/15.58 (step @p22 :rule cnf_or_pos :args (@t44)) % 15.29/15.58 (step @p23 :rule reordering :premises (@p22) :args ((or @t43 @t41 (not @t44)))) % 15.29/15.58 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20) :args (@t41 @t45 (@list @t42 @t44))) % 15.29/15.58 (step @p25 :rule instantiate :premises (@p3) :args ((@list tptp.lower_dimension_point_2 @t46 tptp.lower_dimension_point_1))) % 15.29/15.58 (step @p26 :rule instantiate :premises (@p5) :args ((@list tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) % 15.29/15.58 (step @p27 :rule cnf_or_pos :args (@t50)) % 15.29/15.58 (step @p28 :rule reordering :premises (@p27) :args ((or @t49 @t47 (not @t50)))) % 15.29/15.58 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25) :args (@t47 @t45 (@list @t48 @t50))) % 15.29/15.58 (step @p30 :rule instantiate :premises (@p4) :args (@t51)) % 15.29/15.58 (step @p31 :rule refl :args (@t52)) % 15.29/15.58 (step @p32 :rule refl :args (@t55)) % 15.29/15.58 (step @p33 :rule refl :args (@t56)) % 15.29/15.58 (step @p34 :rule bool-double-not-elim :args (@t20)) % 15.29/15.58 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32 @p31) :args ((or (not @t21) @t56 @t55 @t52))) % 15.29/15.58 (assume-push @p160 @t21) % 15.29/15.58 (assume-push @p161 @t38) % 15.29/15.58 (assume-push @p162 @t47) % 15.29/15.58 (assume-push @p163 @t54) % 15.29/15.58 (step @p40 :rule evaluate :args ((= true false))) % 15.29/15.58 (step @p41 :rule false_intro :premises (@p10)) % 15.29/15.58 (step @p42 :rule refl :args (tptp.lower_dimension_point_3)) % 15.29/15.58 (step @p43 :rule symm :premises (@p161)) % 15.29/15.58 (step @p44 :rule refl :args (tptp.lower_dimension_point_1)) % 15.29/15.58 (step @p45 :rule cong :premises (@p44 @p43 @p42) :args ((tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_3 tptp.lower_dimension_point_3))) % 15.29/15.58 (step @p46 :rule symm :premises (@p29)) % 15.29/15.58 (step @p47 :rule cong :premises (@p44 @p43 @p44 @p44) :args (@t53)) % 15.29/15.58 (step @p48 :rule trans :premises (@p47 @p46 @p161)) % 15.29/15.58 (step @p49 :rule cong :premises (@p44 @p42 @p48) :args (@t54)) % 15.29/15.58 (step @p50 :rule true_intro :premises (@p30)) % 15.29/15.58 (step @p51 :rule symm :premises (@p50)) % 15.29/15.58 (step @p52 :rule trans :premises (@p51 @p49 @p45 @p41)) % 15.29/15.58 (step @p53 false :rule eq_resolve :premises (@p52 @p40)) % 15.29/15.58 (step-pop @p164 :rule scope :premises (@p53)) % 15.29/15.58 (step-pop @p165 :rule scope :premises (@p164)) % 15.29/15.58 (step-pop @p166 :rule scope :premises (@p165)) % 15.29/15.58 (step-pop @p167 :rule scope :premises (@p166)) % 15.29/15.58 (step @p54 :rule process_scope :premises (@p167) :args (false)) % 15.29/15.58 (assume-push @p168 @t21) % 15.29/15.58 (assume-push @p169 @t38) % 15.29/15.58 (assume-push @p170 @t54) % 15.29/15.58 (assume-push @p171 @t47) % 15.29/15.58 (step @p63 :rule and_intro :premises (@p10 @p169 @p29 @p30)) % 15.29/15.58 (step-pop @p172 :rule scope :premises (@p63)) % 15.29/15.58 (step-pop @p173 :rule scope :premises (@p172)) % 15.29/15.58 (step-pop @p174 :rule scope :premises (@p173)) % 15.29/15.58 (step-pop @p175 :rule scope :premises (@p174)) % 15.29/15.58 (step @p64 :rule process_scope :premises (@p175) :args (@t57)) % 15.29/15.58 (step @p69 :rule implies_elim :premises (@p64)) % 15.29/15.58 (step @p70 :rule resolution :premises (@p69 @p54) :args (true @t57)) % 15.29/15.58 (step @p71 :rule not_and :premises (@p70)) % 15.29/15.58 (step @p72 :rule eq_resolve :premises (@p71 @p35)) % 15.29/15.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p10 @p30 @p29) :args (@t56 @t58 (@list @t20 @t54 @t47))) % 15.29/15.58 (step @p74 :rule instantiate :premises (@p4) :args ((@list tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) % 15.29/15.58 (step @p75 :rule instantiate :premises (@p3) :args ((@list tptp.lower_dimension_point_1 @t59 tptp.lower_dimension_point_1))) % 15.29/15.58 (step @p76 :rule instantiate :premises (@p5) :args (@t51)) % 15.29/15.58 (step @p77 :rule cnf_or_pos :args (@t63)) % 15.29/15.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t62 @t60 (not @t63)))) % 15.29/15.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75) :args (@t60 @t45 (@list @t61 @t63))) % 15.29/15.58 (step @p80 :rule refl :args (@t65)) % 15.29/15.58 (step @p81 :rule refl :args (@t66)) % 15.29/15.58 (step @p82 :rule refl :args (@t67)) % 15.29/15.58 (step @p83 :rule bool-double-not-elim :args (@t24)) % 15.29/15.58 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81 @p80) :args ((or (not @t25) @t67 @t66 @t65))) % 15.29/15.58 (assume-push @p176 @t64) % 15.29/15.58 (assume-push @p177 @t60) % 15.29/15.58 (assume-push @p178 @t39) % 15.29/15.58 (assume-push @p179 @t25) % 15.29/15.58 (step @p89 :rule evaluate :args (@t68)) % 15.29/15.58 (step @p90 :rule true_intro :premises (@p74)) % 15.29/15.58 (step @p44 :rule refl :args (tptp.lower_dimension_point_1)) % 15.29/15.58 (step @p42 :rule refl :args (tptp.lower_dimension_point_3)) % 15.29/15.58 (step @p91 :rule cong :premises (@p42 @p44 @p79) :args ((tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) % 15.29/15.58 (step @p92 :rule symm :premises (@p178)) % 15.29/15.58 (step @p93 :rule cong :premises (@p42 @p44 @p92) :args (@t24)) % 15.29/15.58 (step @p94 :rule false_intro :premises (@p12)) % 15.29/15.58 (step @p95 :rule symm :premises (@p94)) % 15.29/15.58 (step @p96 :rule trans :premises (@p95 @p93 @p91 @p90)) % 15.29/15.58 (step @p97 false :rule eq_resolve :premises (@p96 @p89)) % 15.29/15.58 (step-pop @p180 :rule scope :premises (@p97)) % 15.29/15.58 (step-pop @p181 :rule scope :premises (@p180)) % 15.29/15.58 (step-pop @p182 :rule scope :premises (@p181)) % 15.29/15.58 (step-pop @p183 :rule scope :premises (@p182)) % 15.29/15.58 (step @p98 :rule process_scope :premises (@p183) :args (false)) % 15.29/15.58 (assume-push @p184 @t25) % 15.29/15.58 (assume-push @p185 @t39) % 15.29/15.58 (assume-push @p186 @t60) % 15.29/15.58 (assume-push @p187 @t64) % 15.29/15.58 (step @p107 :rule and_intro :premises (@p74 @p79 @p185 @p12)) % 15.29/15.58 (step-pop @p188 :rule scope :premises (@p107)) % 15.29/15.58 (step-pop @p189 :rule scope :premises (@p188)) % 15.29/15.58 (step-pop @p190 :rule scope :premises (@p189)) % 15.29/15.58 (step-pop @p191 :rule scope :premises (@p190)) % 15.29/15.58 (step @p108 :rule process_scope :premises (@p191) :args (@t69)) % 15.29/15.58 (step @p113 :rule implies_elim :premises (@p108)) % 15.29/15.58 (step @p114 :rule resolution :premises (@p113 @p98) :args (true @t69)) % 15.29/15.58 (step @p115 :rule not_and :premises (@p114)) % 15.29/15.58 (step @p116 :rule eq_resolve :premises (@p115 @p84)) % 15.29/15.58 (step @p117 :rule chain_m_resolution :premises (@p116 @p12 @p79 @p74) :args (@t67 @t58 (@list @t24 @t60 @t64))) % 15.29/15.58 (step @p118 :rule chain_m_resolution :premises (@p19 @p117 @p73) :args (@t37 (@list true true) (@list @t39 @t38))) % 15.29/15.58 (step @p119 :rule instantiate :premises (@p4) :args ((@list tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_2 tptp.lower_dimension_point_2))) % 15.29/15.58 (step @p120 :rule refl :args (@t71)) % 15.29/15.58 (step @p121 :rule refl :args (@t72)) % 15.29/15.58 (step @p122 :rule refl :args (@t73)) % 15.29/15.58 (step @p123 :rule bool-double-not-elim :args (@t22)) % 15.29/15.58 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120) :args ((or (not @t23) @t73 @t72 @t71))) % 15.29/15.58 (assume-push @p192 @t70) % 15.29/15.58 (assume-push @p193 @t37) % 15.29/15.58 (assume-push @p194 @t41) % 15.29/15.58 (assume-push @p195 @t23) % 15.29/15.58 (step @p89 :rule evaluate :args (@t68)) % 15.29/15.58 (step @p129 :rule true_intro :premises (@p119)) % 15.29/15.58 (step @p130 :rule refl :args (tptp.lower_dimension_point_2)) % 15.29/15.58 (step @p131 :rule cong :premises (@p130 @p193 @p130 @p130) :args (@t40)) % 15.29/15.58 (step @p132 :rule trans :premises (@p24 @p131)) % 15.29/15.58 (step @p133 :rule cong :premises (@p130 @p193 @p132) :args ((tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_1 tptp.lower_dimension_point_1))) % 15.29/15.58 (step @p44 :rule refl :args (tptp.lower_dimension_point_1)) % 15.29/15.58 (step @p134 :rule symm :premises (@p193)) % 15.29/15.58 (step @p135 :rule cong :premises (@p130 @p134 @p44) :args (@t22)) % 15.29/15.58 (step @p136 :rule false_intro :premises (@p11)) % 15.29/15.58 (step @p137 :rule symm :premises (@p136)) % 15.29/15.58 (step @p138 :rule trans :premises (@p137 @p135 @p133 @p129)) % 15.29/15.58 (step @p139 false :rule eq_resolve :premises (@p138 @p89)) % 15.29/15.58 (step-pop @p196 :rule scope :premises (@p139)) % 15.29/15.58 (step-pop @p197 :rule scope :premises (@p196)) % 15.29/15.58 (step-pop @p198 :rule scope :premises (@p197)) % 15.29/15.58 (step-pop @p199 :rule scope :premises (@p198)) % 15.29/15.58 (step @p140 :rule process_scope :premises (@p199) :args (false)) % 15.29/15.58 (assume-push @p200 @t23) % 15.29/15.58 (assume-push @p201 @t37) % 15.29/15.58 (assume-push @p202 @t41) % 15.29/15.58 (assume-push @p203 @t70) % 15.29/15.58 (step @p149 :rule and_intro :premises (@p119 @p201 @p24 @p11)) % 15.29/15.58 (step-pop @p204 :rule scope :premises (@p149)) % 15.29/15.58 (step-pop @p205 :rule scope :premises (@p204)) % 15.29/15.58 (step-pop @p206 :rule scope :premises (@p205)) % 15.29/15.58 (step-pop @p207 :rule scope :premises (@p206)) % 15.29/15.58 (step @p150 :rule process_scope :premises (@p207) :args (@t74)) % 15.29/15.58 (step @p155 :rule implies_elim :premises (@p150)) % 15.29/15.58 (step @p156 :rule resolution :premises (@p155 @p140) :args (true @t74)) % 15.29/15.58 (step @p157 :rule not_and :premises (@p156)) % 15.29/15.58 (step @p158 :rule eq_resolve :premises (@p157 @p124)) % 15.29/15.58 (step @p159 false :rule chain_m_resolution :premises (@p158 @p119 @p118 @p24 @p11) :args (false (@list false false false true) (@list @t70 @t37 @t41 @t22))) % 15.29/15.58 ) % 15.29/15.58 % SZS output end Proof % 15.29/15.58 % cvc5 exiting %------------------------------------------------------------------------------