%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO040-3 : 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 : n008.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 0.62s 0.80s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO040-3 : 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 % 0.17/0.34 % Computer : n008.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 23:11:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.80 % SZS status Unsatisfiable % 0.62/0.80 % SZS output start Proof % 0.62/0.80 ( % 0.62/0.80 (declare-sort $$unsorted 0) % 0.62/0.80 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.80 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.80 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.80 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.80 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.80 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.80 (declare-const tptp.u $$unsorted) % 0.62/0.80 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.62/0.80 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.62/0.80 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.80 (declare-const tptp.w $$unsorted) % 0.62/0.80 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.80 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.62/0.80 (declare-const tptp.v $$unsorted) % 0.62/0.80 (define @t1 () (@var "X" $$unsorted)) % 0.62/0.80 (define @t2 () (@var "Y" $$unsorted)) % 0.62/0.80 (define @t3 () (@list @t1 @t2)) % 0.62/0.80 (define @t4 () (@var "W" $$unsorted)) % 0.62/0.80 (define @t5 () (@var "V2" $$unsorted)) % 0.62/0.80 (define @t6 () (@var "V" $$unsorted)) % 0.62/0.80 (define @t7 () (@var "Z" $$unsorted)) % 0.62/0.80 (define @t8 () (= @t1 @t2)) % 0.62/0.80 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 0.62/0.80 (define @t10 () (@var "V1" $$unsorted)) % 0.62/0.80 (define @t11 () (@var "Z1" $$unsorted)) % 0.62/0.80 (define @t12 () (@var "Y1" $$unsorted)) % 0.62/0.80 (define @t13 () (@var "X1" $$unsorted)) % 0.62/0.80 (define @t14 () (tptp.between @t1 @t2 @t7)) % 0.62/0.80 (define @t15 () (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 0.62/0.80 (define @t16 () (@var "U" $$unsorted)) % 0.62/0.80 (define @t17 () (tptp.inner_pasch @t16 @t6 @t4 @t1 @t2)) % 0.62/0.80 (define @t18 () (not (tptp.between @t2 @t1 @t4))) % 0.62/0.80 (define @t19 () (not (tptp.between @t16 @t6 @t4))) % 0.62/0.80 (define @t20 () (@list @t16 @t6 @t4 @t2 @t1)) % 0.62/0.80 (define @t21 () (tptp.euclid1 @t16 @t6 @t4 @t1 @t2)) % 0.62/0.80 (define @t22 () (= @t16 @t4)) % 0.62/0.80 (define @t23 () (tptp.between @t6 @t4 @t1)) % 0.62/0.80 (define @t24 () (not @t23)) % 0.62/0.80 (define @t25 () (not (tptp.between @t16 @t4 @t2))) % 0.62/0.80 (define @t26 () (@list @t16 @t4 @t2 @t6 @t1)) % 0.62/0.80 (define @t27 () (tptp.euclid2 @t16 @t6 @t4 @t1 @t2)) % 0.62/0.80 (define @t28 () (tptp.continuous @t16 @t6 @t10 @t4 @t1 @t13)) % 0.62/0.80 (define @t29 () (not (tptp.between @t16 @t6 @t1))) % 0.62/0.80 (define @t30 () (not (tptp.equidistant @t16 @t1 @t16 @t13))) % 0.62/0.80 (define @t31 () (not (tptp.equidistant @t16 @t6 @t16 @t10))) % 0.62/0.80 (define @t32 () (@list @t16 @t6 @t10 @t1 @t13 @t4)) % 0.62/0.80 (define @t33 () (tptp.extension @t16 @t6 @t16 @t6)) % 0.62/0.80 (define @t34 () (tptp.reflection @t16 @t6)) % 0.62/0.80 (define @t35 () (@list @t16 @t6)) % 0.62/0.80 (define @t36 () (not (tptp.equidistant @t16 @t6 @t4 @t1))) % 0.62/0.80 (define @t37 () (@list @t16 @t6 @t4 @t1)) % 0.62/0.80 (define @t38 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 0.62/0.80 (define @t39 () (tptp.extension @t16 @t6 @t4 @t1)) % 0.62/0.80 (define @t40 () (@list @t6 @t16)) % 0.62/0.80 (define @t41 () (= @t6 @t34)) % 0.62/0.80 (define @t42 () (= @t16 @t6)) % 0.62/0.80 (define @t43 () (@var "W1" $$unsorted)) % 0.62/0.80 (define @t44 () (@var "U1" $$unsorted)) % 0.62/0.80 (define @t45 () (= @t4 (tptp.extension @t16 @t6 @t6 @t4))) % 0.62/0.80 (define @t46 () (or @t19 @t42 @t45)) % 0.62/0.80 (define @t47 () (@list @t16 @t6 @t4)) % 0.62/0.80 (define @t48 () (forall @t47 @t46)) % 0.62/0.80 (define @t49 () (tptp.reflection @t34 @t6)) % 0.62/0.80 (define @t50 () (tptp.between tptp.u tptp.v tptp.w)) % 0.62/0.80 (define @t51 () (tptp.between tptp.v tptp.u tptp.w)) % 0.62/0.80 (define @t52 () (= tptp.u tptp.v)) % 0.62/0.80 (define @t53 () (not @t52)) % 0.62/0.80 (define @t54 () (= tptp.u tptp.w)) % 0.62/0.80 (define @t55 () (not @t54)) % 0.62/0.80 (define @t56 () (= tptp.v tptp.w)) % 0.62/0.80 (define @t57 () (not @t56)) % 0.62/0.80 (define @t58 () (not @t53)) % 0.62/0.80 (define @t59 () (and @t53 @t56)) % 0.62/0.80 (define @t60 () (tptp.between tptp.w tptp.u tptp.v)) % 0.62/0.80 (define @t61 () (not @t51)) % 0.62/0.80 (define @t62 () (or @t61 @t60)) % 0.62/0.80 (define @t63 () (@list false false)) % 0.62/0.80 (define @t64 () (tptp.between tptp.w tptp.u tptp.w)) % 0.62/0.80 (define @t65 () (and @t60 @t56)) % 0.62/0.80 (define @t66 () (not @t64)) % 0.62/0.80 (define @t67 () (or @t66 (= tptp.w tptp.u))) % 0.62/0.80 (define @t68 () (or @t66 @t54)) % 0.62/0.80 (define @t69 () (tptp.between tptp.w tptp.v tptp.u)) % 0.62/0.80 (define @t70 () (not @t50)) % 0.62/0.80 (define @t71 () (or @t70 @t69)) % 0.62/0.80 (define @t72 () (= tptp.u (tptp.extension tptp.w tptp.v tptp.v tptp.u))) % 0.62/0.80 (define @t73 () (not @t69)) % 0.62/0.80 (define @t74 () (or @t73 @t56 @t72)) % 0.62/0.80 (define @t75 () (tptp.inner_pasch tptp.u tptp.v tptp.w tptp.u tptp.v)) % 0.62/0.80 (define @t76 () (@list tptp.u tptp.v tptp.w tptp.v tptp.u)) % 0.62/0.80 (define @t77 () (tptp.between tptp.u @t75 tptp.u)) % 0.62/0.80 (define @t78 () (or @t70 @t61 @t77)) % 0.62/0.80 (define @t79 () (@list false false false)) % 0.62/0.80 (define @t80 () (= tptp.u @t75)) % 0.62/0.80 (define @t81 () (not @t77)) % 0.62/0.80 (define @t82 () (or @t81 @t80)) % 0.62/0.80 (define @t83 () (tptp.between tptp.v @t75 tptp.v)) % 0.62/0.80 (define @t84 () (or @t70 @t61 @t83)) % 0.62/0.80 (define @t85 () (= tptp.v @t75)) % 0.62/0.80 (define @t86 () (not @t83)) % 0.62/0.80 (define @t87 () (or @t86 @t85)) % 0.62/0.80 (define @t88 () (not @t85)) % 0.62/0.80 (define @t89 () (not @t80)) % 0.62/0.80 (define @t90 () (not @t72)) % 0.62/0.80 (define @t91 () (and @t72 @t80 @t85 @t53)) % 0.62/0.80 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 0.62/0.80 (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)))) % 0.62/0.80 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 0.62/0.80 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 0.62/0.80 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 0.62/0.80 (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)))) % 0.62/0.80 (assume @p7 @t15) % 0.62/0.80 (assume @p8 (forall @t20 (or @t19 @t18 (tptp.between @t6 @t17 @t2)))) % 0.62/0.80 (assume @p9 (forall @t20 (or @t19 @t18 (tptp.between @t1 @t17 @t16)))) % 0.62/0.80 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.62/0.80 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 0.62/0.80 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.62/0.80 (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)))) % 0.62/0.80 (assume @p14 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t16 @t6 @t21)))) % 0.62/0.80 (assume @p15 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t16 @t1 @t27)))) % 0.62/0.80 (assume @p16 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t21 @t2 @t27)))) % 0.62/0.80 (assume @p17 (forall @t32 (or @t31 @t30 @t29 @t24 (tptp.between @t10 @t28 @t13)))) % 0.62/0.80 (assume @p18 (forall @t32 (or @t31 @t30 @t29 @t24 (tptp.equidistant @t16 @t4 @t16 @t28)))) % 0.62/0.80 (assume @p19 (forall @t35 (= @t34 @t33))) % 0.62/0.80 (assume @p20 (forall @t35 (tptp.equidistant @t16 @t6 @t16 @t6))) % 0.62/0.80 (assume @p21 (forall @t37 (or @t36 (tptp.equidistant @t4 @t1 @t16 @t6)))) % 0.62/0.80 (assume @p22 (forall @t37 (or @t36 (tptp.equidistant @t6 @t16 @t4 @t1)))) % 0.62/0.80 (assume @p23 (forall @t37 (or @t36 (tptp.equidistant @t16 @t6 @t1 @t4)))) % 0.62/0.80 (assume @p24 (forall @t37 (or @t36 (tptp.equidistant @t6 @t16 @t1 @t4)))) % 0.62/0.80 (assume @p25 (forall @t37 (or @t36 (tptp.equidistant @t4 @t1 @t6 @t16)))) % 0.62/0.80 (assume @p26 (forall @t37 (or @t36 (tptp.equidistant @t1 @t4 @t16 @t6)))) % 0.62/0.80 (assume @p27 (forall @t37 (or @t36 (tptp.equidistant @t1 @t4 @t6 @t16)))) % 0.62/0.80 (assume @p28 (forall (@list @t16 @t6 @t4 @t1 @t2 @t7) (or @t36 @t38 (tptp.equidistant @t16 @t6 @t2 @t7)))) % 0.62/0.80 (assume @p29 (forall (@list @t6 @t16 @t4) (= @t6 (tptp.extension @t16 @t6 @t4 @t4)))) % 0.62/0.80 (assume @p30 (forall (@list @t2 @t16 @t6 @t4 @t1) (or (not (= @t2 @t39)) (tptp.between @t16 @t6 @t2)))) % 0.62/0.80 (assume @p31 (forall @t35 (tptp.between @t16 @t6 @t34))) % 0.62/0.80 (assume @p32 (forall @t40 (tptp.equidistant @t6 @t34 @t16 @t6))) % 0.62/0.80 (assume @p33 (forall @t35 (or (not @t42) @t41))) % 0.62/0.80 (assume @p34 (forall (@list @t16) (= @t16 (tptp.reflection @t16 @t16)))) % 0.62/0.80 (assume @p35 (forall @t40 (or (not @t41) @t42))) % 0.62/0.80 (assume @p36 (forall @t35 (tptp.equidistant @t16 @t16 @t6 @t6))) % 0.62/0.80 (assume @p37 (forall (@list @t16 @t6 @t44 @t10 @t4 @t43) (or (not (tptp.equidistant @t16 @t6 @t44 @t10)) (not (tptp.equidistant @t6 @t4 @t10 @t43)) @t19 (not (tptp.between @t44 @t10 @t43)) (tptp.equidistant @t16 @t4 @t44 @t43)))) % 0.62/0.80 (assume @p38 (forall @t37 (or @t19 @t29 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t42 (= @t4 @t1)))) % 0.62/0.80 (assume @p39 @t48) % 0.62/0.80 (assume @p40 (forall (@list @t4 @t1 @t2 @t7 @t16 @t6) (or @t38 (= @t39 (tptp.extension @t16 @t6 @t2 @t7)) @t42))) % 0.62/0.80 (assume @p41 (forall @t35 (or (= @t33 (tptp.extension @t16 @t6 @t6 @t16)) @t42))) % 0.62/0.80 (assume @p42 (forall @t40 (tptp.equidistant @t6 @t16 @t6 @t49))) % 0.62/0.80 (assume @p43 (forall @t35 (= @t16 @t49))) % 0.62/0.80 (assume @p44 (forall @t35 (tptp.between @t16 @t6 @t6))) % 0.62/0.80 (assume @p45 (forall (@list @t16 @t4 @t1 @t6) (or (not (tptp.between @t16 @t4 @t1)) (not (= @t16 @t1)) @t23))) % 0.62/0.80 (assume @p46 (forall @t47 (or @t19 (tptp.between @t4 @t6 @t16)))) % 0.62/0.80 (assume @p47 (forall @t35 (tptp.between @t16 @t16 @t6))) % 0.62/0.80 (assume @p48 @t50) % 0.62/0.80 (assume @p49 @t51) % 0.62/0.80 (assume @p50 @t53) % 0.62/0.80 (step @p51 :rule refl :args (@t45)) % 0.62/0.80 (step @p52 :rule eq-symm :args (@t16 @t6)) % 0.62/0.80 (step @p53 :rule refl :args (@t19)) % 0.62/0.80 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args (@t46)) % 0.62/0.80 (step @p55 :rule cong :premises (@p54) :args (@t48)) % 0.62/0.80 (step @p56 :rule eq_resolve :premises (@p39 @p55)) % 0.62/0.80 (step @p57 :rule instantiate :premises (@p56) :args ((@list tptp.w tptp.v tptp.u))) % 0.62/0.80 (step @p58 :rule refl :args (@t55)) % 0.62/0.80 (step @p59 :rule refl :args (@t57)) % 0.62/0.80 (step @p60 :rule bool-double-not-elim :args (@t52)) % 0.62/0.80 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args ((or @t58 @t57 @t55))) % 0.62/0.80 (assume-push @p185 @t53) % 0.62/0.80 (assume-push @p186 @t56) % 0.62/0.80 (assume-push @p187 @t53) % 0.62/0.80 (assume-push @p188 @t56) % 0.62/0.80 (step @p66 :rule false_intro :premises (@p50)) % 0.62/0.80 (step @p67 :rule symm :premises (@p186)) % 0.62/0.80 (step @p68 :rule refl :args (tptp.u)) % 0.62/0.80 (step @p69 :rule cong :premises (@p68 @p67) :args (@t54)) % 0.62/0.80 (step @p70 :rule trans :premises (@p69 @p66)) % 0.62/0.80 (step @p71 :rule false_elim :premises (@p70)) % 0.62/0.80 (step-pop @p189 :rule scope :premises (@p71)) % 0.62/0.80 (step-pop @p190 :rule scope :premises (@p189)) % 0.62/0.80 (step @p72 :rule process_scope :premises (@p190) :args (@t55)) % 0.62/0.80 (step @p75 :rule and_intro :premises (@p50 @p186)) % 0.62/0.80 (step @p76 :rule modus_ponens :premises (@p75 @p72)) % 0.62/0.80 (step-pop @p191 :rule scope :premises (@p76)) % 0.62/0.80 (step-pop @p192 :rule scope :premises (@p191)) % 0.62/0.80 (step @p77 :rule process_scope :premises (@p192) :args (@t55)) % 0.62/0.80 (step @p80 :rule implies_elim :premises (@p77)) % 0.62/0.80 (step @p81 :rule cnf_and_neg :args (@t59)) % 0.62/0.80 (step @p82 :rule resolution :premises (@p81 @p80) :args (true @t59)) % 0.62/0.80 (step @p83 :rule eq_resolve :premises (@p82 @p61)) % 0.62/0.80 (step @p84 :rule reordering :premises (@p83) :args ((or @t52 @t55 @t57))) % 0.62/0.80 (step @p85 :rule instantiate :premises (@p46) :args ((@list tptp.v tptp.u tptp.w))) % 0.62/0.80 (step @p86 :rule cnf_or_pos :args (@t62)) % 0.62/0.80 (step @p87 :rule reordering :premises (@p86) :args ((or @t61 @t60 (not @t62)))) % 0.62/0.80 (step @p88 :rule chain_m_resolution :premises (@p87 @p49 @p85) :args (@t60 @t63 (@list @t51 @t62))) % 0.62/0.80 (assume-push @p193 @t60) % 0.62/0.80 (assume-push @p194 @t56) % 0.62/0.80 (assume-push @p195 @t60) % 0.62/0.80 (assume-push @p196 @t56) % 0.62/0.80 (step @p93 :rule true_intro :premises (@p88)) % 0.62/0.80 (step @p94 :rule symm :premises (@p194)) % 0.62/0.80 (step @p68 :rule refl :args (tptp.u)) % 0.62/0.80 (step @p95 :rule refl :args (tptp.w)) % 0.62/0.80 (step @p96 :rule cong :premises (@p95 @p68 @p94) :args (@t64)) % 0.62/0.80 (step @p97 :rule trans :premises (@p96 @p93)) % 0.62/0.80 (step @p98 :rule true_elim :premises (@p97)) % 0.62/0.80 (step-pop @p197 :rule scope :premises (@p98)) % 0.62/0.80 (step-pop @p198 :rule scope :premises (@p197)) % 0.62/0.80 (step @p99 :rule process_scope :premises (@p198) :args (@t64)) % 0.62/0.80 (step @p102 :rule and_intro :premises (@p88 @p194)) % 0.62/0.80 (step @p103 :rule modus_ponens :premises (@p102 @p99)) % 0.62/0.80 (step-pop @p199 :rule scope :premises (@p103)) % 0.62/0.80 (step-pop @p200 :rule scope :premises (@p199)) % 0.62/0.80 (step @p104 :rule process_scope :premises (@p200) :args (@t64)) % 0.62/0.80 (step @p107 :rule implies_elim :premises (@p104)) % 0.62/0.80 (step @p108 :rule cnf_and_neg :args (@t65)) % 0.62/0.80 (step @p109 :rule resolution :premises (@p108 @p107) :args (true @t65)) % 0.62/0.80 (step @p110 :rule eq-symm :args (tptp.w tptp.u)) % 0.62/0.80 (step @p111 :rule refl :args (@t66)) % 0.62/0.80 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t67)) % 0.62/0.80 (step @p113 :rule refl :args (@t15)) % 0.62/0.80 (step @p114 :rule cong :premises (@p113 @p112) :args ((=> @t15 @t67))) % 0.62/0.80 (assume-push @p201 @t15) % 0.62/0.80 (step @p116 :rule instantiate :premises (@p7) :args ((@list tptp.w tptp.u))) % 0.62/0.80 (step-pop @p202 :rule scope :premises (@p116)) % 0.62/0.80 (step @p117 :rule process_scope :premises (@p202) :args (@t67)) % 0.62/0.80 (step @p119 :rule eq_resolve :premises (@p117 @p114)) % 0.62/0.80 (step @p120 :rule implies_elim :premises (@p119)) % 0.62/0.80 (step @p121 :rule chain_m_resolution :premises (@p120 @p7) :args (@t68 (@list false) (@list @t15))) % 0.62/0.80 (step @p122 :rule cnf_or_pos :args (@t68)) % 0.62/0.80 (step @p123 :rule reordering :premises (@p122) :args ((or @t54 @t66 (not @t68)))) % 0.62/0.80 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p109 @p88 @p84 @p50) :args (@t57 (@list false false false true true) (@list @t68 @t64 @t60 @t54 @t52))) % 0.62/0.80 (step @p125 :rule instantiate :premises (@p46) :args ((@list tptp.u tptp.v tptp.w))) % 0.62/0.80 (step @p126 :rule cnf_or_pos :args (@t71)) % 0.62/0.80 (step @p127 :rule reordering :premises (@p126) :args ((or @t70 @t69 (not @t71)))) % 0.62/0.80 (step @p128 :rule chain_m_resolution :premises (@p127 @p48 @p125) :args (@t69 @t63 (@list @t50 @t71))) % 0.62/0.80 (step @p129 :rule cnf_or_pos :args (@t74)) % 0.62/0.80 (step @p130 :rule reordering :premises (@p129) :args ((or @t73 @t56 @t72 (not @t74)))) % 0.62/0.80 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p124 @p57) :args (@t72 (@list false true false) (@list @t69 @t56 @t74))) % 0.62/0.80 (step @p132 :rule instantiate :premises (@p7) :args ((@list tptp.u @t75))) % 0.62/0.80 (step @p133 :rule instantiate :premises (@p9) :args (@t76)) % 0.62/0.80 (step @p134 :rule cnf_or_pos :args (@t78)) % 0.62/0.80 (step @p135 :rule reordering :premises (@p134) :args ((or @t70 @t61 @t77 (not @t78)))) % 0.62/0.80 (step @p136 :rule chain_m_resolution :premises (@p135 @p48 @p49 @p133) :args (@t77 @t79 (@list @t50 @t51 @t78))) % 0.62/0.80 (step @p137 :rule cnf_or_pos :args (@t82)) % 0.62/0.80 (step @p138 :rule reordering :premises (@p137) :args ((or @t81 @t80 (not @t82)))) % 0.62/0.80 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p132) :args (@t80 @t63 (@list @t77 @t82))) % 0.62/0.80 (step @p140 :rule instantiate :premises (@p7) :args ((@list tptp.v @t75))) % 0.62/0.80 (step @p141 :rule instantiate :premises (@p8) :args (@t76)) % 0.62/0.80 (step @p142 :rule cnf_or_pos :args (@t84)) % 0.62/0.80 (step @p143 :rule reordering :premises (@p142) :args ((or @t70 @t61 @t83 (not @t84)))) % 0.62/0.80 (step @p144 :rule chain_m_resolution :premises (@p143 @p48 @p49 @p141) :args (@t83 @t79 (@list @t50 @t51 @t84))) % 0.62/0.80 (step @p145 :rule cnf_or_pos :args (@t87)) % 0.62/0.80 (step @p146 :rule reordering :premises (@p145) :args ((or @t86 @t85 (not @t87)))) % 0.62/0.80 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p140) :args (@t85 @t63 (@list @t83 @t87))) % 0.62/0.80 (step @p148 :rule refl :args (@t88)) % 0.62/0.80 (step @p149 :rule refl :args (@t89)) % 0.62/0.80 (step @p150 :rule refl :args (@t90)) % 0.62/0.80 (step @p151 :rule nary_cong :premises (@p60 @p150 @p149 @p148) :args ((or @t58 @t90 @t89 @t88))) % 0.62/0.80 (assume-push @p203 @t72) % 0.62/0.80 (assume-push @p204 @t80) % 0.62/0.80 (assume-push @p205 @t85) % 0.62/0.80 (assume-push @p206 @t53) % 0.62/0.80 (step @p156 :rule evaluate :args ((= false true))) % 0.62/0.80 (step @p157 :rule symm :premises (@p139)) % 0.62/0.80 (step @p158 :rule trans :premises (@p147 @p157 @p203)) % 0.62/0.80 (step @p159 :rule symm :premises (@p158)) % 0.62/0.80 (step @p160 :rule trans :premises (@p203 @p159)) % 0.62/0.80 (step @p161 :rule true_intro :premises (@p160)) % 0.62/0.80 (step @p66 :rule false_intro :premises (@p50)) % 0.62/0.80 (step @p162 :rule symm :premises (@p66)) % 0.62/0.80 (step @p163 :rule trans :premises (@p162 @p161)) % 0.62/0.80 (step @p164 false :rule eq_resolve :premises (@p163 @p156)) % 0.62/0.80 (step-pop @p207 :rule scope :premises (@p164)) % 0.62/0.80 (step-pop @p208 :rule scope :premises (@p207)) % 0.62/0.80 (step-pop @p209 :rule scope :premises (@p208)) % 0.62/0.80 (step-pop @p210 :rule scope :premises (@p209)) % 0.62/0.80 (step @p165 :rule process_scope :premises (@p210) :args (false)) % 0.62/0.80 (assume-push @p211 @t53) % 0.62/0.80 (assume-push @p212 @t72) % 0.62/0.80 (assume-push @p213 @t80) % 0.62/0.80 (assume-push @p214 @t85) % 0.62/0.80 (step @p174 :rule and_intro :premises (@p212 @p139 @p147 @p50)) % 0.62/0.80 (step-pop @p215 :rule scope :premises (@p174)) % 0.62/0.80 (step-pop @p216 :rule scope :premises (@p215)) % 0.62/0.80 (step-pop @p217 :rule scope :premises (@p216)) % 0.62/0.80 (step-pop @p218 :rule scope :premises (@p217)) % 0.62/0.80 (step @p175 :rule process_scope :premises (@p218) :args (@t91)) % 0.62/0.80 (step @p180 :rule implies_elim :premises (@p175)) % 0.62/0.80 (step @p181 :rule resolution :premises (@p180 @p165) :args (true @t91)) % 0.62/0.80 (step @p182 :rule not_and :premises (@p181)) % 0.62/0.80 (step @p183 :rule eq_resolve :premises (@p182 @p151)) % 0.62/0.80 (step @p184 false :rule chain_m_resolution :premises (@p183 @p147 @p139 @p131 @p50) :args (false (@list false false false true) (@list @t85 @t80 @t72 @t52))) % 0.62/0.80 ) % 0.62/0.81 % SZS output end Proof % 0.62/0.81 % cvc5 exiting %------------------------------------------------------------------------------