%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HWC002-1 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:23:00 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HWC002-1 : TPTP v9.2.1. Released v1.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.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 : Tue Jun 2 02:17:22 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Unsatisfiable % 0.37/0.57 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.nil $$unsorted) % 0.37/0.58 (declare-const tptp.top (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.table (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.middle (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.bottom (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.connect (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.n1 $$unsorted) % 0.37/0.58 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.circuit (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.n0 $$unsorted) % 0.37/0.58 (define @t1 () (tptp.and tptp.n0 tptp.n0)) % 0.37/0.58 (define @t2 () (tptp.and tptp.n0 tptp.n1)) % 0.37/0.58 (define @t3 () (tptp.and tptp.n1 tptp.n0)) % 0.37/0.58 (define @t4 () (tptp.and tptp.n1 tptp.n1)) % 0.37/0.58 (define @t5 () (tptp.not tptp.n0)) % 0.37/0.58 (define @t6 () (tptp.not tptp.n1)) % 0.37/0.58 (define @t7 () (@var "Z2" $$unsorted)) % 0.37/0.58 (define @t8 () (@var "Z1" $$unsorted)) % 0.37/0.58 (define @t9 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t10 () (tptp.and @t9 @t8)) % 0.37/0.58 (define @t11 () (tptp.bottom (tptp.connect @t10 @t7))) % 0.37/0.58 (define @t12 () (tptp.middle @t9)) % 0.37/0.58 (define @t13 () (@var "X2" $$unsorted)) % 0.37/0.58 (define @t14 () (@var "X1" $$unsorted)) % 0.37/0.58 (define @t15 () (tptp.and @t9 @t14)) % 0.37/0.58 (define @t16 () (tptp.top (tptp.connect @t15 @t13))) % 0.37/0.58 (define @t17 () (tptp.connect @t8 @t7)) % 0.37/0.58 (define @t18 () (tptp.bottom @t17)) % 0.37/0.58 (define @t19 () (tptp.connect @t14 @t13)) % 0.37/0.58 (define @t20 () (tptp.top @t19)) % 0.37/0.58 (define @t21 () (not (tptp.circuit @t20 @t12 @t18))) % 0.37/0.58 (define @t22 () (@list @t14 @t13 @t9 @t8 @t7)) % 0.37/0.58 (define @t23 () (tptp.or @t9 @t8)) % 0.37/0.58 (define @t24 () (tptp.bottom (tptp.connect @t23 @t7))) % 0.37/0.58 (define @t25 () (tptp.or @t9 @t14)) % 0.37/0.58 (define @t26 () (tptp.top (tptp.connect @t25 @t13))) % 0.37/0.58 (define @t27 () (@var "Y2" $$unsorted)) % 0.37/0.58 (define @t28 () (tptp.bottom @t27)) % 0.37/0.58 (define @t29 () (@var "Y1" $$unsorted)) % 0.37/0.58 (define @t30 () (tptp.and @t14 @t29)) % 0.37/0.58 (define @t31 () (tptp.middle @t30)) % 0.37/0.58 (define @t32 () (tptp.top @t13)) % 0.37/0.58 (define @t33 () (tptp.bottom (tptp.connect @t29 @t27))) % 0.37/0.58 (define @t34 () (not (tptp.circuit @t20 tptp.nil @t33))) % 0.37/0.58 (define @t35 () (@list @t14 @t13 @t29 @t27)) % 0.37/0.58 (define @t36 () (tptp.or @t14 @t29)) % 0.37/0.58 (define @t37 () (tptp.middle @t36)) % 0.37/0.58 (define @t38 () (@var "Z3" $$unsorted)) % 0.37/0.58 (define @t39 () (@var "X3" $$unsorted)) % 0.37/0.58 (define @t40 () (not (tptp.circuit (tptp.top (tptp.connect @t14 (tptp.connect @t13 @t39))) @t12 (tptp.bottom (tptp.connect @t8 (tptp.connect @t7 @t38)))))) % 0.37/0.58 (define @t41 () (@list @t14 @t13 @t39 @t9 @t8 @t7 @t38)) % 0.37/0.58 (define @t42 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t43 () (tptp.bottom @t42)) % 0.37/0.58 (define @t44 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t45 () (tptp.top @t44)) % 0.37/0.58 (define @t46 () (tptp.bottom (tptp.connect (tptp.not @t8) @t7))) % 0.37/0.58 (define @t47 () (tptp.not @t14)) % 0.37/0.58 (define @t48 () (tptp.top (tptp.connect @t47 @t13))) % 0.37/0.58 (define @t49 () (@list @t44 @t9)) % 0.37/0.58 (define @t50 () (@var "Y4" $$unsorted)) % 0.37/0.58 (define @t51 () (@var "X4" $$unsorted)) % 0.37/0.58 (define @t52 () (@var "Y3" $$unsorted)) % 0.37/0.58 (define @t53 () (tptp.table @t29 @t27 @t52 @t50)) % 0.37/0.58 (define @t54 () (tptp.table @t14 @t13 @t39 @t51)) % 0.37/0.58 (define @t55 () (@list @t14 @t13 @t39 @t51 @t29 @t27 @t52 @t50)) % 0.37/0.58 (define @t56 () (@list @t44)) % 0.37/0.58 (define @t57 () (tptp.table tptp.n0 tptp.n0 tptp.n0 tptp.n0)) % 0.37/0.58 (define @t58 () (tptp.table tptp.n1 tptp.n1 tptp.n1 tptp.n1)) % 0.37/0.58 (define @t59 () (tptp.connect @t44 @t9)) % 0.37/0.58 (define @t60 () (tptp.table tptp.n0 tptp.n1 tptp.n0 tptp.n1)) % 0.37/0.58 (define @t61 () (tptp.connect @t60 tptp.nil)) % 0.37/0.58 (define @t62 () (tptp.bottom @t61)) % 0.37/0.58 (define @t63 () (tptp.table tptp.n0 tptp.n0 tptp.n1 tptp.n1)) % 0.37/0.58 (define @t64 () (tptp.connect @t63 tptp.nil)) % 0.37/0.58 (define @t65 () (tptp.top @t64)) % 0.37/0.58 (define @t66 () (tptp.circuit @t65 tptp.nil @t62)) % 0.37/0.58 (define @t67 () (tptp.bottom @t64)) % 0.37/0.58 (define @t68 () (tptp.top @t61)) % 0.37/0.58 (define @t69 () (tptp.circuit @t65 (tptp.middle (tptp.and @t63 @t60)) @t62)) % 0.37/0.58 (define @t70 () (not @t66)) % 0.37/0.58 (define @t71 () (or @t70 @t69)) % 0.37/0.58 (define @t72 () (tptp.table @t3 @t3 @t4 @t4)) % 0.37/0.58 (define @t73 () (tptp.and @t58 @t63)) % 0.37/0.58 (define @t74 () (tptp.connect @t73 tptp.nil)) % 0.37/0.58 (define @t75 () (tptp.bottom @t74)) % 0.37/0.58 (define @t76 () (tptp.table @t3 @t4 @t3 @t4)) % 0.37/0.58 (define @t77 () (tptp.and @t58 @t60)) % 0.37/0.58 (define @t78 () (tptp.connect @t77 tptp.nil)) % 0.37/0.58 (define @t79 () (tptp.top @t78)) % 0.37/0.58 (define @t80 () (tptp.circuit @t79 tptp.nil @t75)) % 0.37/0.58 (define @t81 () (tptp.middle @t58)) % 0.37/0.58 (define @t82 () (tptp.circuit @t68 @t81 @t67)) % 0.37/0.58 (define @t83 () (not @t82)) % 0.37/0.58 (define @t84 () (or @t83 @t80)) % 0.37/0.58 (define @t85 () (= tptp.n0 @t1)) % 0.37/0.58 (define @t86 () (= tptp.n0 @t2)) % 0.37/0.58 (define @t87 () (= tptp.n0 @t3)) % 0.37/0.58 (define @t88 () (= tptp.n1 @t4)) % 0.37/0.58 (define @t89 () (= tptp.n1 @t5)) % 0.37/0.58 (define @t90 () (= tptp.n0 @t6)) % 0.37/0.58 (define @t91 () (= tptp.nil @t57)) % 0.37/0.58 (define @t92 () (= tptp.nil @t58)) % 0.37/0.58 (define @t93 () (tptp.table @t3 @t3 @t3 @t3)) % 0.37/0.58 (define @t94 () (tptp.and @t58 @t57)) % 0.37/0.58 (define @t95 () (= @t94 @t93)) % 0.37/0.58 (define @t96 () (= @t77 @t76)) % 0.37/0.58 (define @t97 () (= @t73 @t72)) % 0.37/0.58 (define @t98 () (tptp.table @t6 @t5 @t6 @t5)) % 0.37/0.58 (define @t99 () (= (tptp.not (tptp.table tptp.n1 tptp.n0 tptp.n1 tptp.n0)) @t98)) % 0.37/0.58 (define @t100 () (tptp.and @t57 @t60)) % 0.37/0.58 (define @t101 () (= @t100 (tptp.table @t1 @t2 @t1 @t2))) % 0.37/0.58 (define @t102 () (tptp.table @t1 @t1 @t2 @t2)) % 0.37/0.58 (define @t103 () (= (tptp.and @t57 @t63) @t102)) % 0.37/0.58 (define @t104 () (and @t85 @t86 @t87 @t88 @t89 @t90 @t91 @t92 @t69 @t95 @t96 @t97 @t99 @t101 @t103)) % 0.37/0.58 (assume @p1 (= @t1 tptp.n0)) % 0.37/0.58 (assume @p2 (= @t2 tptp.n0)) % 0.37/0.58 (assume @p3 (= @t3 tptp.n0)) % 0.37/0.58 (assume @p4 (= @t4 tptp.n1)) % 0.37/0.58 (assume @p5 (= (tptp.or tptp.n0 tptp.n0) tptp.n0)) % 0.37/0.58 (assume @p6 (= (tptp.or tptp.n0 tptp.n1) tptp.n1)) % 0.37/0.58 (assume @p7 (= (tptp.or tptp.n1 tptp.n0) tptp.n1)) % 0.37/0.58 (assume @p8 (= (tptp.or tptp.n1 tptp.n1) tptp.n1)) % 0.37/0.58 (assume @p9 (= @t5 tptp.n1)) % 0.37/0.58 (assume @p10 (= @t6 tptp.n0)) % 0.37/0.58 (assume @p11 (forall @t22 (or @t21 (tptp.circuit @t16 @t12 @t11)))) % 0.37/0.58 (assume @p12 (forall @t22 (or @t21 (tptp.circuit @t26 @t12 @t24)))) % 0.37/0.58 (assume @p13 (forall @t22 (or @t21 (tptp.circuit @t16 tptp.nil @t11)))) % 0.37/0.58 (assume @p14 (forall @t22 (or @t21 (tptp.circuit @t26 tptp.nil @t24)))) % 0.37/0.58 (assume @p15 (forall @t35 (or @t34 (tptp.circuit @t32 @t31 @t28)))) % 0.37/0.58 (assume @p16 (forall @t35 (or @t34 (tptp.circuit @t32 @t37 @t28)))) % 0.37/0.58 (assume @p17 (forall @t35 (or @t34 (tptp.circuit @t20 @t31 @t33)))) % 0.37/0.58 (assume @p18 (forall @t35 (or @t34 (tptp.circuit @t20 @t37 @t33)))) % 0.37/0.58 (assume @p19 (forall @t22 (or @t21 (tptp.circuit (tptp.top (tptp.connect @t15 @t19)) tptp.nil (tptp.bottom (tptp.connect @t10 @t17)))))) % 0.37/0.58 (assume @p20 (forall @t22 (or @t21 (tptp.circuit (tptp.top (tptp.connect @t25 @t19)) tptp.nil (tptp.bottom (tptp.connect @t23 @t17)))))) % 0.37/0.58 (assume @p21 (forall @t41 (or @t40 (tptp.circuit (tptp.top (tptp.connect (tptp.and @t14 @t13) @t39)) @t12 (tptp.bottom (tptp.connect (tptp.and @t8 @t7) @t38)))))) % 0.37/0.58 (assume @p22 (forall @t41 (or @t40 (tptp.circuit (tptp.top (tptp.connect (tptp.or @t14 @t13) @t39)) @t12 (tptp.bottom (tptp.connect (tptp.or @t8 @t7) @t38)))))) % 0.37/0.58 (assume @p23 (forall (@list @t44 @t9 @t42) (or (not (tptp.circuit @t45 @t12 @t43)) (tptp.circuit @t45 (tptp.middle (tptp.not @t9)) @t43)))) % 0.37/0.58 (assume @p24 (forall @t22 (or @t21 (tptp.circuit @t48 @t12 @t46)))) % 0.37/0.58 (assume @p25 (forall (@list @t14 @t13 @t8 @t7) (or (not (tptp.circuit @t20 tptp.nil @t18)) (tptp.circuit @t48 tptp.nil @t46)))) % 0.37/0.58 (assume @p26 (forall @t49 (tptp.circuit @t45 @t9 (tptp.bottom @t44)))) % 0.37/0.58 (assume @p27 (forall @t55 (= (tptp.and @t54 @t53) (tptp.table @t30 (tptp.and @t13 @t27) (tptp.and @t39 @t52) (tptp.and @t51 @t50))))) % 0.37/0.58 (assume @p28 (forall @t56 (= (tptp.and tptp.nil @t44) @t44))) % 0.37/0.58 (assume @p29 (forall @t55 (= (tptp.or @t54 @t53) (tptp.table @t36 (tptp.or @t13 @t27) (tptp.or @t39 @t52) (tptp.or @t51 @t50))))) % 0.37/0.58 (assume @p30 (forall @t56 (= (tptp.or tptp.nil @t44) @t44))) % 0.37/0.58 (assume @p31 (forall (@list @t14 @t13 @t39 @t51) (= (tptp.not @t54) (tptp.table @t47 (tptp.not @t13) (tptp.not @t39) (tptp.not @t51))))) % 0.37/0.58 (assume @p32 (= (tptp.not tptp.nil) tptp.nil)) % 0.37/0.58 (assume @p33 (= @t57 tptp.nil)) % 0.37/0.58 (assume @p34 (= @t58 tptp.nil)) % 0.37/0.58 (assume @p35 (forall @t56 (= (tptp.connect tptp.nil @t44) @t44))) % 0.37/0.58 (assume @p36 (forall @t49 (= (tptp.connect @t44 @t59) @t59))) % 0.37/0.58 (assume @p37 @t66) % 0.37/0.58 (assume @p38 (not (tptp.circuit @t68 tptp.nil @t67))) % 0.37/0.58 (step @p39 :rule symm :premises (@p1)) % 0.37/0.58 (step @p40 :rule symm :premises (@p2)) % 0.37/0.58 (step @p41 :rule symm :premises (@p3)) % 0.37/0.58 (step @p42 :rule symm :premises (@p4)) % 0.37/0.58 (step @p43 :rule symm :premises (@p9)) % 0.37/0.58 (step @p44 :rule symm :premises (@p10)) % 0.37/0.58 (step @p45 :rule symm :premises (@p33)) % 0.37/0.58 (step @p46 :rule symm :premises (@p34)) % 0.37/0.58 (step @p47 :rule instantiate :premises (@p27) :args ((@list tptp.n1 tptp.n1 tptp.n1 tptp.n1 tptp.n0 tptp.n0 tptp.n0 tptp.n0))) % 0.37/0.58 (step @p48 :rule instantiate :premises (@p27) :args ((@list tptp.n1 tptp.n1 tptp.n1 tptp.n1 tptp.n0 tptp.n1 tptp.n0 tptp.n1))) % 0.37/0.58 (step @p49 :rule instantiate :premises (@p27) :args ((@list tptp.n1 tptp.n1 tptp.n1 tptp.n1 tptp.n0 tptp.n0 tptp.n1 tptp.n1))) % 0.37/0.58 (step @p50 :rule instantiate :premises (@p31) :args ((@list tptp.n1 tptp.n0 tptp.n1 tptp.n0))) % 0.37/0.58 (step @p51 :rule instantiate :premises (@p17) :args ((@list @t63 tptp.nil @t60 tptp.nil))) % 0.37/0.58 (step @p52 :rule cnf_or_pos :args (@t71)) % 0.37/0.58 (step @p53 :rule reordering :premises (@p52) :args ((or @t70 @t69 (not @t71)))) % 0.37/0.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p37 @p51) :args (@t69 (@list false false) (@list @t66 @t71))) % 0.37/0.58 (step @p55 :rule instantiate :premises (@p27) :args ((@list tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n1 tptp.n0 tptp.n1))) % 0.37/0.58 (step @p56 :rule instantiate :premises (@p27) :args ((@list tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n1 tptp.n1))) % 0.37/0.58 (step @p57 :rule instantiate :premises (@p13) :args ((@list @t60 tptp.nil @t58 @t63 tptp.nil))) % 0.37/0.58 (step @p58 :rule false_intro :premises (@p38)) % 0.37/0.58 (step @p59 :rule refl :args (tptp.nil)) % 0.37/0.58 (step @p60 :rule cong :premises (@p3 @p3 @p4 @p4) :args (@t72)) % 0.37/0.58 (step @p61 :rule trans :premises (@p49 @p60)) % 0.37/0.58 (step @p62 :rule cong :premises (@p61 @p59) :args (@t74)) % 0.37/0.58 (step @p63 :rule cong :premises (@p62) :args (@t75)) % 0.37/0.58 (step @p64 :rule cong :premises (@p3 @p4 @p3 @p4) :args (@t76)) % 0.37/0.58 (step @p65 :rule trans :premises (@p48 @p64)) % 0.37/0.58 (step @p66 :rule cong :premises (@p65 @p59) :args (@t78)) % 0.37/0.58 (step @p67 :rule cong :premises (@p66) :args (@t79)) % 0.37/0.58 (step @p68 :rule cong :premises (@p67 @p59 @p63) :args (@t80)) % 0.37/0.58 (step @p69 :rule trans :premises (@p68 @p58)) % 0.37/0.58 (step @p70 :rule false_elim :premises (@p69)) % 0.37/0.58 (step @p71 :rule cnf_or_pos :args (@t84)) % 0.37/0.58 (step @p72 :rule reordering :premises (@p71) :args ((or @t83 @t80 (not @t84)))) % 0.37/0.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p57) :args (@t83 (@list true false) (@list @t80 @t84))) % 0.37/0.58 (assume-push @p156 @t85) % 0.37/0.58 (assume-push @p157 @t86) % 0.37/0.58 (assume-push @p158 @t87) % 0.37/0.58 (assume-push @p159 @t88) % 0.37/0.58 (assume-push @p160 @t89) % 0.37/0.58 (assume-push @p161 @t90) % 0.37/0.58 (assume-push @p162 @t91) % 0.37/0.58 (assume-push @p163 @t92) % 0.37/0.58 (assume-push @p164 @t69) % 0.37/0.58 (assume-push @p165 @t95) % 0.37/0.58 (assume-push @p166 @t96) % 0.37/0.58 (assume-push @p167 @t97) % 0.37/0.58 (assume-push @p168 @t99) % 0.37/0.58 (assume-push @p169 @t101) % 0.37/0.58 (assume-push @p170 @t103) % 0.37/0.58 (step @p89 :rule true_intro :premises (@p54)) % 0.37/0.58 (step @p90 :rule symm :premises (@p65)) % 0.37/0.58 (step @p91 :rule cong :premises (@p10 @p9 @p10 @p9) :args (@t98)) % 0.37/0.58 (step @p92 :rule trans :premises (@p50 @p91)) % 0.37/0.58 (step @p93 :rule symm :premises (@p50)) % 0.37/0.58 (step @p94 :rule symm :premises (@p91)) % 0.37/0.58 (step @p95 :rule refl :args (@t60)) % 0.37/0.58 (step @p96 :rule trans :premises (@p33 @p46)) % 0.37/0.58 (step @p97 :rule cong :premises (@p96 @p95) :args (@t100)) % 0.37/0.58 (step @p98 :rule symm :premises (@p55)) % 0.37/0.58 (step @p99 :rule trans :premises (@p3 @p40)) % 0.37/0.58 (step @p100 :rule trans :premises (@p3 @p39)) % 0.37/0.58 (step @p101 :rule cong :premises (@p100 @p99 @p100 @p99) :args (@t93)) % 0.37/0.58 (step @p102 :rule symm :premises (@p99)) % 0.37/0.58 (step @p103 :rule symm :premises (@p100)) % 0.37/0.58 (step @p104 :rule cong :premises (@p103 @p103 @p102 @p102) :args (@t102)) % 0.37/0.58 (step @p105 :rule refl :args (@t63)) % 0.37/0.58 (step @p106 :rule symm :premises (@p96)) % 0.37/0.58 (step @p107 :rule cong :premises (@p106 @p105) :args (@t73)) % 0.37/0.58 (step @p108 :rule symm :premises (@p49)) % 0.37/0.58 (step @p109 :rule cong :premises (@p41 @p41 @p42 @p42) :args (@t63)) % 0.37/0.58 (step @p110 :rule trans :premises (@p109 @p108 @p107 @p56 @p104 @p101 @p98 @p97 @p48 @p64 @p94 @p93)) % 0.37/0.58 (step @p111 :rule trans :premises (@p61 @p110 @p92 @p90)) % 0.37/0.58 (step @p112 :rule cong :premises (@p111 @p59) :args (@t74)) % 0.37/0.58 (step @p113 :rule symm :premises (@p61)) % 0.37/0.58 (step @p114 :rule cong :premises (@p113 @p59) :args (@t64)) % 0.37/0.58 (step @p115 :rule trans :premises (@p114 @p112 @p66)) % 0.37/0.58 (step @p116 :rule cong :premises (@p115) :args (@t67)) % 0.37/0.58 (step @p117 :rule cong :premises (@p105 @p64) :args ((tptp.and @t63 @t76))) % 0.37/0.58 (step @p118 :rule cong :premises (@p41 @p41 @p41 @p41) :args (@t57)) % 0.37/0.58 (step @p119 :rule trans :premises (@p34 @p45 @p118 @p101 @p98 @p97 @p48)) % 0.37/0.58 (step @p120 :rule symm :premises (@p107)) % 0.37/0.58 (step @p121 :rule symm :premises (@p56)) % 0.37/0.58 (step @p122 :rule symm :premises (@p104)) % 0.37/0.58 (step @p123 :rule trans :premises (@p34 @p45 @p118 @p122 @p121 @p120 @p49 @p60)) % 0.37/0.58 (step @p124 :rule cong :premises (@p123 @p119) :args ((tptp.and @t58 @t58))) % 0.37/0.58 (step @p125 :rule refl :args (@t58)) % 0.37/0.58 (step @p126 :rule cong :premises (@p125 @p96) :args (@t94)) % 0.37/0.58 (step @p127 :rule symm :premises (@p47)) % 0.37/0.58 (step @p128 :rule trans :premises (@p34 @p45 @p118 @p127 @p126 @p124 @p117)) % 0.37/0.58 (step @p129 :rule cong :premises (@p128) :args (@t81)) % 0.37/0.58 (step @p130 :rule symm :premises (@p115)) % 0.37/0.58 (step @p131 :rule cong :premises (@p130) :args (@t68)) % 0.37/0.58 (step @p132 :rule cong :premises (@p131 @p129 @p116) :args (@t82)) % 0.37/0.58 (step @p133 :rule trans :premises (@p132 @p89)) % 0.37/0.58 (step @p134 :rule true_elim :premises (@p133)) % 0.37/0.58 (step-pop @p171 :rule scope :premises (@p134)) % 0.37/0.58 (step-pop @p172 :rule scope :premises (@p171)) % 0.37/0.58 (step-pop @p173 :rule scope :premises (@p172)) % 0.37/0.58 (step-pop @p174 :rule scope :premises (@p173)) % 0.37/0.58 (step-pop @p175 :rule scope :premises (@p174)) % 0.37/0.58 (step-pop @p176 :rule scope :premises (@p175)) % 0.37/0.58 (step-pop @p177 :rule scope :premises (@p176)) % 0.37/0.58 (step-pop @p178 :rule scope :premises (@p177)) % 0.37/0.58 (step-pop @p179 :rule scope :premises (@p178)) % 0.37/0.58 (step-pop @p180 :rule scope :premises (@p179)) % 0.37/0.58 (step-pop @p181 :rule scope :premises (@p180)) % 0.37/0.58 (step-pop @p182 :rule scope :premises (@p181)) % 0.37/0.58 (step-pop @p183 :rule scope :premises (@p182)) % 0.37/0.58 (step-pop @p184 :rule scope :premises (@p183)) % 0.37/0.58 (step-pop @p185 :rule scope :premises (@p184)) % 0.37/0.58 (step @p135 :rule process_scope :premises (@p185) :args (@t82)) % 0.37/0.58 (step @p151 :rule implies_elim :premises (@p135)) % 0.37/0.58 (step @p152 :rule cnf_and_neg :args (@t104)) % 0.37/0.58 (step @p153 :rule resolution :premises (@p152 @p151) :args (true @t104)) % 0.37/0.58 (step @p154 :rule reordering :premises (@p153) :args ((or (not @t85) (not @t86) (not @t87) (not @t88) (not @t89) (not @t90) (not @t91) (not @t92) (not @t69) (not @t95) (not @t96) (not @t97) (not @t99) @t82 (not @t101) (not @t103)))) % 0.37/0.58 (step @p155 false :rule chain_m_resolution :premises (@p154 @p73 @p56 @p55 @p54 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39) :args (false (@list true false false false false false false false false false false false false false false false) (@list @t82 @t103 @t101 @t69 @t99 @t97 @t96 @t95 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------