%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX200-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 09:07:20 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.63s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX200-1 : TPTP v9.3.0. Released v9.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 : Tue Jun 2 23:06:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.63 % SZS status Unsatisfiable % 0.39/0.63 % SZS output start Proof % 0.47/0.63 ( % 0.47/0.63 (declare-sort $$unsorted 0) % 0.47/0.63 (declare-const tptp.prop_merge_ord_not3 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.63 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.63 (declare-const tptp.btrue $$unsorted) % 0.47/0.63 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.47/0.63 (declare-const tptp.nil $$unsorted) % 0.47/0.63 (declare-const tptp.aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.63 (declare-const tptp.bfalse $$unsorted) % 0.47/0.63 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.63 (declare-const tptp.impl (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.63 (declare-const tptp.ord (-> $$unsorted $$unsorted)) % 0.47/0.63 (declare-const tptp.merge (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.63 (declare-const tptp.z $$unsorted) % 0.47/0.63 (declare-const tptp.aux2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.63 (declare-const tptp.leqNat (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.63 (declare-const tptp.eq2 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.63 (define @t1 () (@var "Ys" $$unsorted)) % 0.47/0.63 (define @t2 () (@var "Y2" $$unsorted)) % 0.47/0.63 (define @t3 () (tptp.cons @t2 @t1)) % 0.47/0.63 (define @t4 () (@var "Xs" $$unsorted)) % 0.47/0.63 (define @t5 () (@var "Z" $$unsorted)) % 0.47/0.63 (define @t6 () (@list @t5 @t4 @t2 @t1)) % 0.47/0.63 (define @t7 () (tptp.cons @t5 @t4)) % 0.47/0.63 (define @t8 () (tptp.cons @t2 @t4)) % 0.47/0.63 (define @t9 () (@var "Y" $$unsorted)) % 0.47/0.63 (define @t10 () (@list @t9 @t2 @t4)) % 0.47/0.63 (define @t11 () (forall @t10 (= (tptp.aux2 @t9 @t2 @t4 tptp.btrue) (tptp.ord @t8)))) % 0.47/0.63 (define @t12 () (tptp.aux2 @t9 @t2 @t4 tptp.bfalse)) % 0.47/0.63 (define @t13 () (forall @t10 (= @t12 tptp.bfalse))) % 0.47/0.63 (define @t14 () (tptp.leqNat tptp.z @t9)) % 0.47/0.63 (define @t15 () (@list @t9)) % 0.47/0.63 (define @t16 () (forall @t15 (= @t14 tptp.btrue))) % 0.47/0.63 (define @t17 () (tptp.s @t5)) % 0.47/0.63 (define @t18 () (tptp.leqNat @t17 tptp.z)) % 0.47/0.63 (define @t19 () (forall (@list @t5) (= @t18 tptp.bfalse))) % 0.47/0.63 (define @t20 () (@var "M" $$unsorted)) % 0.47/0.63 (define @t21 () (tptp.merge tptp.nil @t9)) % 0.47/0.63 (define @t22 () (forall @t15 (= @t21 @t9))) % 0.47/0.63 (define @t23 () (tptp.merge @t7 tptp.nil)) % 0.47/0.63 (define @t24 () (forall (@list @t5 @t4) (= @t23 @t7))) % 0.47/0.63 (define @t25 () (tptp.ord tptp.nil)) % 0.47/0.63 (define @t26 () (tptp.ord (tptp.cons @t9 tptp.nil))) % 0.47/0.63 (define @t27 () (forall @t15 (= @t26 tptp.btrue))) % 0.47/0.63 (define @t28 () (@var "Q" $$unsorted)) % 0.47/0.63 (define @t29 () (tptp.impl tptp.btrue @t28)) % 0.47/0.63 (define @t30 () (@list @t28)) % 0.47/0.63 (define @t31 () (forall @t30 (= @t29 @t28))) % 0.47/0.63 (define @t32 () (@var "X" $$unsorted)) % 0.47/0.63 (define @t33 () (tptp.prop_merge_ord_not3 @t32 @t9)) % 0.47/0.63 (define @t34 () (@list @t32 @t9)) % 0.47/0.63 (define @t35 () (tptp.eq2 tptp.bfalse tptp.btrue)) % 0.47/0.63 (define @t36 () (tptp.s @t32)) % 0.47/0.63 (define @t37 () (@list @t32)) % 0.47/0.63 (define @t38 () (tptp.eq2 @t32 @t32)) % 0.47/0.63 (define @t39 () (forall @t37 (= @t38 tptp.btrue))) % 0.47/0.63 (define @t40 () (tptp.eq2 @t33 tptp.bfalse)) % 0.47/0.63 (define @t41 () (not (= @t40 tptp.btrue))) % 0.47/0.63 (define @t42 () (forall @t34 @t41)) % 0.47/0.63 (define @t43 () (@list tptp.z)) % 0.47/0.63 (define @t44 () (tptp.s tptp.z)) % 0.47/0.63 (define @t45 () (@list @t44 tptp.z tptp.nil)) % 0.47/0.63 (define @t46 () (tptp.cons tptp.z tptp.nil)) % 0.47/0.63 (define @t47 () (@list @t44 @t46 tptp.z tptp.nil)) % 0.47/0.63 (define @t48 () (@list tptp.z tptp.nil @t44 @t46)) % 0.47/0.63 (define @t49 () (tptp.merge tptp.nil @t46)) % 0.47/0.63 (define @t50 () (@list @t44 tptp.z @t49)) % 0.47/0.63 (define @t51 () (@list tptp.z @t44 @t46)) % 0.47/0.63 (define @t52 () (tptp.cons @t44 @t46)) % 0.47/0.63 (define @t53 () (@list @t46 @t52)) % 0.47/0.63 (define @t54 () (tptp.aux2 tptp.z @t44 @t46 tptp.btrue)) % 0.47/0.63 (define @t55 () (tptp.ord @t52)) % 0.47/0.63 (define @t56 () (= @t54 @t55)) % 0.47/0.63 (define @t57 () (= @t55 @t54)) % 0.47/0.63 (define @t58 () (tptp.merge @t46 @t52)) % 0.47/0.63 (define @t59 () (tptp.eq2 (tptp.ord @t58) tptp.btrue)) % 0.47/0.63 (define @t60 () (tptp.eq2 @t55 tptp.bfalse)) % 0.47/0.63 (define @t61 () (tptp.impl @t60 @t59)) % 0.47/0.63 (define @t62 () (= tptp.btrue @t25)) % 0.47/0.63 (define @t63 () (= tptp.bfalse @t35)) % 0.47/0.63 (define @t64 () (tptp.leqNat @t44 tptp.z)) % 0.47/0.63 (define @t65 () (= tptp.bfalse @t64)) % 0.47/0.63 (define @t66 () (tptp.ord @t46)) % 0.47/0.63 (define @t67 () (= tptp.btrue @t66)) % 0.47/0.63 (define @t68 () (tptp.eq2 tptp.btrue tptp.btrue)) % 0.47/0.63 (define @t69 () (= tptp.btrue @t68)) % 0.47/0.63 (define @t70 () (= @t55 (tptp.aux2 @t44 tptp.z tptp.nil @t64))) % 0.47/0.63 (define @t71 () (tptp.aux2 @t44 tptp.z tptp.nil tptp.bfalse)) % 0.47/0.63 (define @t72 () (= tptp.bfalse @t71)) % 0.47/0.63 (define @t73 () (tptp.merge @t52 tptp.nil)) % 0.47/0.63 (define @t74 () (= @t52 @t73)) % 0.47/0.63 (define @t75 () (tptp.aux @t44 @t46 tptp.z tptp.nil @t64)) % 0.47/0.63 (define @t76 () (tptp.merge @t52 @t46)) % 0.47/0.63 (define @t77 () (= @t76 @t75)) % 0.47/0.63 (define @t78 () (tptp.leqNat tptp.z @t44)) % 0.47/0.63 (define @t79 () (= @t58 (tptp.aux tptp.z tptp.nil @t44 @t46 @t78))) % 0.47/0.63 (define @t80 () (tptp.aux2 @t44 tptp.z @t49 @t64)) % 0.47/0.63 (define @t81 () (tptp.ord (tptp.cons @t44 (tptp.cons tptp.z @t49)))) % 0.47/0.63 (define @t82 () (= @t81 @t80)) % 0.47/0.63 (define @t83 () (tptp.cons tptp.z @t73)) % 0.47/0.63 (define @t84 () (= (tptp.aux @t44 @t46 tptp.z tptp.nil tptp.bfalse) @t83)) % 0.47/0.63 (define @t85 () (= tptp.bfalse (tptp.aux2 @t44 tptp.z @t49 tptp.bfalse))) % 0.47/0.63 (define @t86 () (= tptp.btrue @t78)) % 0.47/0.63 (define @t87 () (tptp.cons tptp.z @t52)) % 0.47/0.63 (define @t88 () (tptp.ord @t87)) % 0.47/0.63 (define @t89 () (= @t88 (tptp.aux2 tptp.z @t44 @t46 @t78))) % 0.47/0.63 (define @t90 () (tptp.prop_merge_ord_not3 @t46 @t52)) % 0.47/0.63 (define @t91 () (= @t90 (tptp.impl (tptp.eq2 @t66 tptp.btrue) @t61))) % 0.47/0.63 (define @t92 () (tptp.merge tptp.nil @t52)) % 0.47/0.63 (define @t93 () (tptp.aux tptp.z tptp.nil @t44 @t46 tptp.btrue)) % 0.47/0.63 (define @t94 () (= @t93 (tptp.cons tptp.z @t92))) % 0.47/0.63 (define @t95 () (tptp.impl tptp.btrue @t61)) % 0.47/0.63 (define @t96 () (= @t61 @t95)) % 0.47/0.63 (define @t97 () (tptp.eq2 tptp.bfalse tptp.bfalse)) % 0.47/0.63 (define @t98 () (= tptp.btrue @t97)) % 0.47/0.63 (define @t99 () (= @t52 @t92)) % 0.47/0.63 (define @t100 () (tptp.impl tptp.btrue @t59)) % 0.47/0.63 (define @t101 () (= @t59 @t100)) % 0.47/0.63 (define @t102 () (= tptp.btrue (tptp.eq2 @t90 tptp.bfalse))) % 0.47/0.63 (define @t103 () (and @t62 @t63 @t65 @t67 @t69 @t70 @t72 @t74 @t77 @t79 @t82 @t84 @t85 @t86 @t89 @t91 @t94 @t57 @t96 @t98 @t99 @t101)) % 0.47/0.63 (assume @p1 (forall @t6 (= (tptp.aux @t5 @t4 @t2 @t1 tptp.btrue) (tptp.cons @t5 (tptp.merge @t4 @t3))))) % 0.47/0.63 (assume @p2 (forall @t6 (= (tptp.aux @t5 @t4 @t2 @t1 tptp.bfalse) (tptp.cons @t2 (tptp.merge @t7 @t1))))) % 0.47/0.63 (assume @p3 @t11) % 0.47/0.63 (assume @p4 @t13) % 0.47/0.63 (assume @p5 @t16) % 0.47/0.63 (assume @p6 @t19) % 0.47/0.63 (assume @p7 (forall (@list @t5 @t20) (= (tptp.leqNat @t17 (tptp.s @t20)) (tptp.leqNat @t5 @t20)))) % 0.47/0.63 (assume @p8 @t22) % 0.47/0.63 (assume @p9 @t24) % 0.47/0.63 (assume @p10 (forall @t6 (= (tptp.merge @t7 @t3) (tptp.aux @t5 @t4 @t2 @t1 (tptp.leqNat @t5 @t2))))) % 0.47/0.63 (assume @p11 (= @t25 tptp.btrue)) % 0.47/0.63 (assume @p12 @t27) % 0.47/0.63 (assume @p13 (forall @t10 (= (tptp.ord (tptp.cons @t9 @t8)) (tptp.aux2 @t9 @t2 @t4 (tptp.leqNat @t9 @t2))))) % 0.47/0.63 (assume @p14 @t31) % 0.47/0.63 (assume @p15 (forall @t30 (= (tptp.impl tptp.bfalse @t28) tptp.btrue))) % 0.47/0.63 (assume @p16 (forall @t34 (= @t33 (tptp.impl (tptp.eq2 (tptp.ord @t32) tptp.btrue) (tptp.impl (tptp.eq2 (tptp.ord @t9) tptp.bfalse) (tptp.eq2 (tptp.ord (tptp.merge @t32 @t9)) tptp.btrue)))))) % 0.47/0.63 (assume @p17 (= @t35 tptp.bfalse)) % 0.47/0.63 (assume @p18 (= (tptp.eq2 tptp.btrue tptp.bfalse) tptp.bfalse)) % 0.47/0.63 (assume @p19 (forall @t34 (= (tptp.eq @t36 (tptp.s @t9)) (tptp.eq @t32 @t9)))) % 0.47/0.63 (assume @p20 (forall @t37 (= (tptp.eq tptp.z @t36) tptp.bfalse))) % 0.47/0.63 (assume @p21 (forall @t37 (= (tptp.eq @t36 tptp.z) tptp.bfalse))) % 0.47/0.63 (assume @p22 (forall @t37 (= (tptp.eq @t32 @t32) tptp.btrue))) % 0.47/0.63 (assume @p23 @t39) % 0.47/0.63 (assume @p24 @t42) % 0.47/0.63 (step @p25 :rule symm :premises (@p11)) % 0.47/0.63 (step @p26 :rule symm :premises (@p17)) % 0.47/0.63 (step @p27 :rule eq-symm :args (@t18 tptp.bfalse)) % 0.47/0.63 (step @p28 :rule cong :premises (@p27) :args (@t19)) % 0.47/0.63 (step @p29 :rule eq_resolve :premises (@p6 @p28)) % 0.47/0.63 (step @p30 :rule instantiate :premises (@p29) :args (@t43)) % 0.47/0.63 (step @p31 :rule eq-symm :args (@t26 tptp.btrue)) % 0.47/0.63 (step @p32 :rule cong :premises (@p31) :args (@t27)) % 0.47/0.63 (step @p33 :rule eq_resolve :premises (@p12 @p32)) % 0.47/0.63 (step @p34 :rule instantiate :premises (@p33) :args (@t43)) % 0.47/0.63 (step @p35 :rule eq-symm :args (@t38 tptp.btrue)) % 0.47/0.63 (step @p36 :rule cong :premises (@p35) :args (@t39)) % 0.47/0.63 (step @p37 :rule eq_resolve :premises (@p23 @p36)) % 0.47/0.63 (step @p38 :rule instantiate :premises (@p37) :args ((@list tptp.btrue))) % 0.47/0.63 (step @p39 :rule instantiate :premises (@p13) :args (@t45)) % 0.47/0.63 (step @p40 :rule eq-symm :args (@t12 tptp.bfalse)) % 0.47/0.63 (step @p41 :rule cong :premises (@p40) :args (@t13)) % 0.47/0.63 (step @p42 :rule eq_resolve :premises (@p4 @p41)) % 0.47/0.63 (step @p43 :rule instantiate :premises (@p42) :args (@t45)) % 0.47/0.63 (step @p44 :rule eq-symm :args (@t23 @t7)) % 0.47/0.63 (step @p45 :rule cong :premises (@p44) :args (@t24)) % 0.47/0.63 (step @p46 :rule eq_resolve :premises (@p9 @p45)) % 0.47/0.63 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t44 @t46))) % 0.47/0.63 (step @p48 :rule instantiate :premises (@p10) :args (@t47)) % 0.47/0.63 (step @p49 :rule instantiate :premises (@p10) :args (@t48)) % 0.47/0.63 (step @p50 :rule instantiate :premises (@p13) :args (@t50)) % 0.47/0.63 (step @p51 :rule instantiate :premises (@p2) :args (@t47)) % 0.47/0.63 (step @p52 :rule instantiate :premises (@p42) :args (@t50)) % 0.47/0.63 (step @p53 :rule eq-symm :args (@t14 tptp.btrue)) % 0.47/0.63 (step @p54 :rule cong :premises (@p53) :args (@t16)) % 0.47/0.63 (step @p55 :rule eq_resolve :premises (@p5 @p54)) % 0.47/0.63 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t44))) % 0.47/0.63 (step @p57 :rule instantiate :premises (@p13) :args (@t51)) % 0.47/0.63 (step @p58 :rule instantiate :premises (@p16) :args (@t53)) % 0.47/0.63 (step @p59 :rule instantiate :premises (@p1) :args (@t48)) % 0.47/0.63 (step @p60 :rule eq-symm :args (@t54 @t55)) % 0.47/0.63 (step @p61 :rule refl :args (@t11)) % 0.47/0.63 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t11 @t56))) % 0.47/0.63 (assume-push @p188 @t11) % 0.47/0.63 (step @p64 :rule instantiate :premises (@p3) :args (@t51)) % 0.47/0.63 (step-pop @p189 :rule scope :premises (@p64)) % 0.47/0.63 (step @p65 :rule process_scope :premises (@p189) :args (@t56)) % 0.47/0.63 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.47/0.63 (step @p68 :rule implies_elim :premises (@p67)) % 0.47/0.63 (step @p69 :rule chain_m_resolution :premises (@p68 @p3) :args (@t57 (@list false) (@list @t11))) % 0.47/0.63 (step @p70 :rule eq-symm :args (@t29 @t28)) % 0.47/0.63 (step @p71 :rule cong :premises (@p70) :args (@t31)) % 0.47/0.63 (step @p72 :rule eq_resolve :premises (@p14 @p71)) % 0.47/0.63 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t61))) % 0.47/0.63 (step @p74 :rule instantiate :premises (@p37) :args ((@list tptp.bfalse))) % 0.47/0.63 (step @p75 :rule eq-symm :args (@t40 tptp.btrue)) % 0.47/0.63 (step @p76 :rule cong :premises (@p75) :args (@t41)) % 0.47/0.63 (step @p77 :rule cong :premises (@p76) :args (@t42)) % 0.47/0.63 (step @p78 :rule eq_resolve :premises (@p24 @p77)) % 0.47/0.63 (step @p79 :rule instantiate :premises (@p78) :args (@t53)) % 0.47/0.63 (step @p80 :rule eq-symm :args (@t21 @t9)) % 0.47/0.63 (step @p81 :rule cong :premises (@p80) :args (@t22)) % 0.47/0.63 (step @p82 :rule eq_resolve :premises (@p8 @p81)) % 0.47/0.63 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t52))) % 0.47/0.63 (step @p84 :rule instantiate :premises (@p72) :args ((@list @t59))) % 0.47/0.63 (assume-push @p190 @t62) % 0.47/0.63 (assume-push @p191 @t63) % 0.47/0.63 (assume-push @p192 @t65) % 0.47/0.63 (assume-push @p193 @t67) % 0.47/0.63 (assume-push @p194 @t69) % 0.47/0.63 (assume-push @p195 @t70) % 0.47/0.63 (assume-push @p196 @t72) % 0.47/0.63 (assume-push @p197 @t74) % 0.47/0.63 (assume-push @p198 @t77) % 0.47/0.63 (assume-push @p199 @t79) % 0.47/0.63 (assume-push @p200 @t82) % 0.47/0.63 (assume-push @p201 @t84) % 0.47/0.63 (assume-push @p202 @t85) % 0.47/0.63 (assume-push @p203 @t86) % 0.47/0.63 (assume-push @p204 @t89) % 0.47/0.63 (assume-push @p205 @t91) % 0.47/0.63 (assume-push @p206 @t94) % 0.47/0.63 (assume-push @p207 @t57) % 0.47/0.63 (assume-push @p208 @t96) % 0.47/0.63 (assume-push @p209 @t98) % 0.47/0.63 (assume-push @p210 @t99) % 0.47/0.63 (assume-push @p211 @t101) % 0.47/0.63 (step @p107 :rule refl :args (tptp.bfalse)) % 0.47/0.63 (step @p108 :rule symm :premises (@p58)) % 0.47/0.63 (step @p109 :rule refl :args (@t61)) % 0.47/0.63 (step @p110 :rule refl :args (tptp.btrue)) % 0.47/0.63 (step @p111 :rule trans :premises (@p11 @p34)) % 0.47/0.63 (step @p112 :rule cong :premises (@p111 @p110) :args ((tptp.eq2 @t25 tptp.btrue))) % 0.47/0.63 (step @p113 :rule cong :premises (@p25 @p110) :args (@t68)) % 0.47/0.63 (step @p114 :rule trans :premises (@p38 @p113 @p112)) % 0.47/0.63 (step @p115 :rule cong :premises (@p114 @p109) :args (@t95)) % 0.47/0.63 (step @p116 :rule refl :args (@t59)) % 0.47/0.63 (step @p117 :rule symm :premises (@p39)) % 0.47/0.63 (step @p118 :rule refl :args (tptp.nil)) % 0.47/0.63 (step @p119 :rule refl :args (tptp.z)) % 0.47/0.63 (step @p120 :rule refl :args (@t44)) % 0.47/0.63 (step @p121 :rule cong :premises (@p120 @p119 @p118 @p30) :args (@t71)) % 0.47/0.63 (step @p122 :rule trans :premises (@p43 @p121 @p117)) % 0.47/0.63 (step @p123 :rule symm :premises (@p52)) % 0.47/0.63 (step @p124 :rule symm :premises (@p30)) % 0.47/0.63 (step @p125 :rule refl :args (@t49)) % 0.47/0.63 (step @p126 :rule cong :premises (@p120 @p119 @p125 @p124) :args (@t80)) % 0.47/0.63 (step @p127 :rule trans :premises (@p50 @p126 @p123)) % 0.47/0.63 (step @p128 :rule trans :premises (@p127 @p122)) % 0.47/0.63 (step @p129 :rule cong :premises (@p128 @p107) :args ((tptp.eq2 @t81 tptp.bfalse))) % 0.47/0.63 (step @p130 :rule symm :premises (@p129)) % 0.47/0.63 (step @p131 :rule cong :premises (@p122 @p107) :args (@t97)) % 0.47/0.63 (step @p132 :rule trans :premises (@p74 @p131 @p130)) % 0.47/0.63 (step @p133 :rule trans :premises (@p132 @p129)) % 0.47/0.63 (step @p134 :rule cong :premises (@p133 @p116) :args (@t100)) % 0.47/0.63 (step @p135 :rule symm :premises (@p49)) % 0.47/0.63 (step @p136 :rule refl :args (@t46)) % 0.47/0.63 (step @p137 :rule cong :premises (@p119 @p118 @p120 @p136 @p56) :args (@t93)) % 0.47/0.63 (step @p138 :rule symm :premises (@p59)) % 0.47/0.63 (step @p139 :rule symm :premises (@p47)) % 0.47/0.63 (step @p140 :rule trans :premises (@p139 @p83)) % 0.47/0.63 (step @p141 :rule cong :premises (@p119 @p140) :args (@t83)) % 0.47/0.63 (step @p142 :rule cong :premises (@p120 @p136 @p119 @p118 @p124) :args (@t75)) % 0.47/0.63 (step @p143 :rule trans :premises (@p48 @p142 @p51 @p141 @p138 @p137 @p135)) % 0.47/0.63 (step @p144 :rule cong :premises (@p143) :args ((tptp.ord @t76))) % 0.47/0.63 (step @p145 :rule symm :premises (@p48)) % 0.47/0.63 (step @p146 :rule symm :premises (@p142)) % 0.47/0.63 (step @p147 :rule symm :premises (@p51)) % 0.47/0.63 (step @p148 :rule cong :premises (@p119 @p47) :args (@t87)) % 0.47/0.63 (step @p149 :rule trans :premises (@p148 @p147 @p146 @p145)) % 0.47/0.63 (step @p150 :rule cong :premises (@p149) :args (@t88)) % 0.47/0.63 (step @p151 :rule symm :premises (@p57)) % 0.47/0.63 (step @p152 :rule cong :premises (@p119 @p120 @p136 @p56) :args (@t54)) % 0.47/0.63 (step @p153 :rule trans :premises (@p43 @p121 @p117 @p69 @p152 @p151 @p150 @p144)) % 0.47/0.63 (step @p154 :rule cong :premises (@p153 @p110) :args (@t35)) % 0.47/0.63 (step @p155 :rule trans :premises (@p26 @p154 @p84 @p134 @p73 @p115 @p108)) % 0.47/0.63 (step @p156 :rule symm :premises (@p122)) % 0.47/0.63 (step @p157 :rule trans :premises (@p156 @p155)) % 0.47/0.63 (step @p158 :rule cong :premises (@p157 @p107) :args (@t60)) % 0.47/0.63 (step @p159 :rule trans :premises (@p74 @p131 @p158)) % 0.47/0.63 (step-pop @p212 :rule scope :premises (@p159)) % 0.47/0.63 (step-pop @p213 :rule scope :premises (@p212)) % 0.47/0.63 (step-pop @p214 :rule scope :premises (@p213)) % 0.47/0.63 (step-pop @p215 :rule scope :premises (@p214)) % 0.47/0.63 (step-pop @p216 :rule scope :premises (@p215)) % 0.47/0.63 (step-pop @p217 :rule scope :premises (@p216)) % 0.47/0.63 (step-pop @p218 :rule scope :premises (@p217)) % 0.47/0.63 (step-pop @p219 :rule scope :premises (@p218)) % 0.47/0.63 (step-pop @p220 :rule scope :premises (@p219)) % 0.47/0.63 (step-pop @p221 :rule scope :premises (@p220)) % 0.47/0.63 (step-pop @p222 :rule scope :premises (@p221)) % 0.47/0.63 (step-pop @p223 :rule scope :premises (@p222)) % 0.47/0.63 (step-pop @p224 :rule scope :premises (@p223)) % 0.47/0.63 (step-pop @p225 :rule scope :premises (@p224)) % 0.47/0.63 (step-pop @p226 :rule scope :premises (@p225)) % 0.47/0.63 (step-pop @p227 :rule scope :premises (@p226)) % 0.47/0.63 (step-pop @p228 :rule scope :premises (@p227)) % 0.47/0.63 (step-pop @p229 :rule scope :premises (@p228)) % 0.47/0.63 (step-pop @p230 :rule scope :premises (@p229)) % 0.47/0.63 (step-pop @p231 :rule scope :premises (@p230)) % 0.47/0.63 (step-pop @p232 :rule scope :premises (@p231)) % 0.47/0.63 (step-pop @p233 :rule scope :premises (@p232)) % 0.47/0.63 (step @p160 :rule process_scope :premises (@p233) :args (@t102)) % 0.47/0.63 (step @p183 :rule implies_elim :premises (@p160)) % 0.47/0.63 (step @p184 :rule cnf_and_neg :args (@t103)) % 0.47/0.63 (step @p185 :rule resolution :premises (@p184 @p183) :args (true @t103)) % 0.47/0.63 (step @p186 :rule reordering :premises (@p185) :args ((or (not @t62) (not @t63) (not @t65) (not @t67) (not @t69) (not @t70) (not @t72) (not @t74) (not @t77) (not @t79) (not @t82) (not @t84) (not @t85) (not @t86) (not @t89) (not @t91) @t102 (not @t94) (not @t57) (not @t96) (not @t98) (not @t99) (not @t101)))) % 0.47/0.63 (step @p187 false :rule chain_m_resolution :premises (@p186 @p84 @p83 @p79 @p74 @p73 @p69 @p59 @p58 @p57 @p56 @p52 @p51 @p50 @p49 @p48 @p47 @p43 @p39 @p38 @p34 @p30 @p26 @p25) :args (false (@list false false true false false false false false false false false false false false false false false false false false false false false) (@list @t101 @t99 @t102 @t98 @t96 @t57 @t94 @t91 @t89 @t86 @t85 @t84 @t82 @t79 @t77 @t74 @t72 @t70 @t69 @t67 @t65 @t63 @t62))) % 0.47/0.63 ) % 0.47/0.63 % SZS output end Proof % 0.47/0.64 % cvc5 exiting %------------------------------------------------------------------------------