%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX228-1 : 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 : n016.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 09:07:25 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX228-1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:14:24 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Unsatisfiable % 0.46/0.64 % SZS output start Proof % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-const tptp.eq2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.eq3 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.btrue $$unsorted) % 0.46/0.65 (declare-const tptp.aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.bfalse $$unsorted) % 0.46/0.65 (declare-const tptp.elem (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.barbar (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.eqNat (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.z $$unsorted) % 0.46/0.65 (declare-const tptp.nil $$unsorted) % 0.46/0.65 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.prop_union_comm (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (define @t1 () (@var "Y" $$unsorted)) % 0.46/0.65 (define @t2 () (@var "Xs" $$unsorted)) % 0.46/0.65 (define @t3 () (tptp.union @t2 @t1)) % 0.46/0.65 (define @t4 () (@var "Z" $$unsorted)) % 0.46/0.65 (define @t5 () (@list @t1 @t4 @t2)) % 0.46/0.65 (define @t6 () (@list @t1)) % 0.46/0.65 (define @t7 () (tptp.barbar tptp.bfalse @t1)) % 0.46/0.65 (define @t8 () (forall @t6 (= @t7 @t1))) % 0.46/0.65 (define @t9 () (@var "Y2" $$unsorted)) % 0.46/0.65 (define @t10 () (tptp.s @t4)) % 0.46/0.65 (define @t11 () (tptp.eqNat @t10 tptp.z)) % 0.46/0.65 (define @t12 () (forall (@list @t4) (= @t11 tptp.bfalse))) % 0.46/0.65 (define @t13 () (@var "X2" $$unsorted)) % 0.46/0.65 (define @t14 () (tptp.eqNat tptp.z (tptp.s @t13))) % 0.46/0.65 (define @t15 () (forall (@list @t13) (= @t14 tptp.bfalse))) % 0.46/0.65 (define @t16 () (@var "X" $$unsorted)) % 0.46/0.65 (define @t17 () (tptp.elem @t16 tptp.nil)) % 0.46/0.65 (define @t18 () (@list @t16)) % 0.46/0.65 (define @t19 () (forall @t18 (= @t17 tptp.bfalse))) % 0.46/0.65 (define @t20 () (tptp.cons @t4 @t2)) % 0.46/0.65 (define @t21 () (tptp.union tptp.nil @t1)) % 0.46/0.65 (define @t22 () (forall @t6 (= @t21 @t1))) % 0.46/0.65 (define @t23 () (tptp.prop_union_comm @t16 @t1)) % 0.46/0.65 (define @t24 () (@list @t16 @t1)) % 0.46/0.65 (define @t25 () (tptp.s @t16)) % 0.46/0.65 (define @t26 () (tptp.eq2 @t25 tptp.z)) % 0.46/0.65 (define @t27 () (forall @t18 (= @t26 tptp.bfalse))) % 0.46/0.65 (define @t28 () (tptp.eq2 tptp.z @t25)) % 0.46/0.65 (define @t29 () (forall @t18 (= @t28 tptp.bfalse))) % 0.46/0.65 (define @t30 () (tptp.eq3 @t16 @t16)) % 0.46/0.65 (define @t31 () (forall @t18 (= @t30 tptp.btrue))) % 0.46/0.65 (define @t32 () (tptp.cons @t16 @t1)) % 0.46/0.65 (define @t33 () (tptp.eq @t32 (tptp.cons @t4 @t13))) % 0.46/0.65 (define @t34 () (tptp.eq2 @t16 @t4)) % 0.46/0.65 (define @t35 () (not (= @t34 tptp.bfalse))) % 0.46/0.65 (define @t36 () (or @t35 (= @t33 tptp.bfalse))) % 0.46/0.65 (define @t37 () (@list @t16 @t4 @t1 @t13)) % 0.46/0.65 (define @t38 () (forall @t37 @t36)) % 0.46/0.65 (define @t39 () (tptp.eq3 @t23 tptp.bfalse)) % 0.46/0.65 (define @t40 () (not (= @t39 tptp.btrue))) % 0.46/0.65 (define @t41 () (forall @t24 @t40)) % 0.46/0.65 (define @t42 () (@list tptp.z)) % 0.46/0.65 (define @t43 () (tptp.cons tptp.z tptp.nil)) % 0.46/0.65 (define @t44 () (tptp.union tptp.nil tptp.nil)) % 0.46/0.65 (define @t45 () (tptp.s tptp.z)) % 0.46/0.65 (define @t46 () (tptp.elem @t45 @t44)) % 0.46/0.65 (define @t47 () (tptp.cons @t45 tptp.nil)) % 0.46/0.65 (define @t48 () (tptp.cons tptp.z @t44)) % 0.46/0.65 (define @t49 () (@list @t48 @t47)) % 0.46/0.65 (define @t50 () (tptp.union @t44 @t47)) % 0.46/0.65 (define @t51 () (tptp.cons tptp.z @t50)) % 0.46/0.65 (define @t52 () (tptp.cons @t45 @t48)) % 0.46/0.65 (define @t53 () (= tptp.bfalse (tptp.eq @t52 @t51))) % 0.46/0.65 (define @t54 () (= tptp.bfalse (tptp.eq2 @t45 tptp.z))) % 0.46/0.65 (define @t55 () (not @t54)) % 0.46/0.65 (define @t56 () (or @t55 @t53)) % 0.46/0.65 (define @t57 () (@list false false)) % 0.46/0.65 (define @t58 () (tptp.eq @t51 @t52)) % 0.46/0.65 (define @t59 () (= tptp.bfalse @t58)) % 0.46/0.65 (define @t60 () (= tptp.bfalse (tptp.eq2 tptp.z @t45))) % 0.46/0.65 (define @t61 () (not @t60)) % 0.46/0.65 (define @t62 () (or @t61 @t59)) % 0.46/0.65 (define @t63 () (tptp.eq3 tptp.bfalse tptp.bfalse)) % 0.46/0.65 (define @t64 () (= tptp.btrue @t63)) % 0.46/0.65 (define @t65 () (not @t64)) % 0.46/0.65 (define @t66 () (not @t59)) % 0.46/0.65 (define @t67 () (not @t53)) % 0.46/0.65 (define @t68 () (tptp.prop_union_comm @t48 @t47)) % 0.46/0.65 (define @t69 () (= tptp.btrue (tptp.eq3 @t68 tptp.bfalse))) % 0.46/0.65 (define @t70 () (tptp.aux @t48 @t45 tptp.nil tptp.bfalse)) % 0.46/0.65 (define @t71 () (= @t70 (tptp.cons @t45 (tptp.union tptp.nil @t48)))) % 0.46/0.65 (define @t72 () (not @t71)) % 0.46/0.65 (define @t73 () (tptp.union @t48 @t47)) % 0.46/0.65 (define @t74 () (tptp.union @t47 @t48)) % 0.46/0.65 (define @t75 () (tptp.eq @t74 @t73)) % 0.46/0.65 (define @t76 () (tptp.prop_union_comm @t47 @t48)) % 0.46/0.65 (define @t77 () (= @t76 @t75)) % 0.46/0.65 (define @t78 () (not @t77)) % 0.46/0.65 (define @t79 () (= @t68 (tptp.eq @t73 @t74))) % 0.46/0.65 (define @t80 () (not @t79)) % 0.46/0.65 (define @t81 () (tptp.elem @t45 @t48)) % 0.46/0.65 (define @t82 () (= @t74 (tptp.aux @t48 @t45 tptp.nil @t81))) % 0.46/0.65 (define @t83 () (not @t82)) % 0.46/0.65 (define @t84 () (tptp.aux @t47 tptp.z @t44 tptp.bfalse)) % 0.46/0.65 (define @t85 () (= @t84 @t51)) % 0.46/0.65 (define @t86 () (not @t85)) % 0.46/0.65 (define @t87 () (tptp.elem tptp.z @t47)) % 0.46/0.65 (define @t88 () (= @t73 (tptp.aux @t47 tptp.z @t44 @t87))) % 0.46/0.65 (define @t89 () (not @t88)) % 0.46/0.65 (define @t90 () (tptp.elem tptp.z tptp.nil)) % 0.46/0.65 (define @t91 () (tptp.eqNat tptp.z @t45)) % 0.46/0.65 (define @t92 () (= @t87 (tptp.barbar @t91 @t90))) % 0.46/0.65 (define @t93 () (not @t92)) % 0.46/0.65 (define @t94 () (tptp.elem @t45 tptp.nil)) % 0.46/0.65 (define @t95 () (= tptp.bfalse @t94)) % 0.46/0.65 (define @t96 () (not @t95)) % 0.46/0.65 (define @t97 () (tptp.barbar tptp.bfalse @t46)) % 0.46/0.65 (define @t98 () (= @t46 @t97)) % 0.46/0.65 (define @t99 () (not @t98)) % 0.46/0.65 (define @t100 () (tptp.eqNat @t45 tptp.z)) % 0.46/0.65 (define @t101 () (= @t81 (tptp.barbar @t100 @t46))) % 0.46/0.65 (define @t102 () (not @t101)) % 0.46/0.65 (define @t103 () (tptp.union tptp.nil @t43)) % 0.46/0.65 (define @t104 () (= @t43 @t103)) % 0.46/0.65 (define @t105 () (not @t104)) % 0.46/0.65 (define @t106 () (= tptp.nil @t44)) % 0.46/0.65 (define @t107 () (not @t106)) % 0.46/0.65 (define @t108 () (= tptp.bfalse @t90)) % 0.46/0.65 (define @t109 () (not @t108)) % 0.46/0.65 (define @t110 () (= tptp.bfalse @t91)) % 0.46/0.65 (define @t111 () (not @t110)) % 0.46/0.65 (define @t112 () (= tptp.bfalse @t100)) % 0.46/0.65 (define @t113 () (not @t112)) % 0.46/0.65 (define @t114 () (not @t69)) % 0.46/0.65 (define @t115 () (tptp.aux @t43 @t45 tptp.nil tptp.bfalse)) % 0.46/0.65 (define @t116 () (tptp.eq3 @t76 tptp.bfalse)) % 0.46/0.65 (define @t117 () (and @t65 @t64)) % 0.46/0.65 (assume @p1 (forall @t5 (= (tptp.aux @t1 @t4 @t2 tptp.btrue) @t3))) % 0.46/0.65 (assume @p2 (forall @t5 (= (tptp.aux @t1 @t4 @t2 tptp.bfalse) (tptp.cons @t4 @t3)))) % 0.46/0.65 (assume @p3 (forall @t6 (= (tptp.barbar tptp.btrue @t1) tptp.btrue))) % 0.46/0.65 (assume @p4 @t8) % 0.46/0.65 (assume @p5 (forall (@list @t4 @t9) (= (tptp.eqNat @t10 (tptp.s @t9)) (tptp.eqNat @t4 @t9)))) % 0.46/0.65 (assume @p6 @t12) % 0.46/0.65 (assume @p7 @t15) % 0.46/0.65 (assume @p8 (= (tptp.eqNat tptp.z tptp.z) tptp.btrue)) % 0.46/0.65 (assume @p9 @t19) % 0.46/0.65 (assume @p10 (forall (@list @t16 @t4 @t2) (= (tptp.elem @t16 @t20) (tptp.barbar (tptp.eqNat @t16 @t4) (tptp.elem @t16 @t2))))) % 0.46/0.65 (assume @p11 @t22) % 0.46/0.65 (assume @p12 (forall (@list @t4 @t2 @t1) (= (tptp.union @t20 @t1) (tptp.aux @t1 @t4 @t2 (tptp.elem @t4 @t1))))) % 0.46/0.65 (assume @p13 (forall @t24 (= @t23 (tptp.eq (tptp.union @t16 @t1) (tptp.union @t1 @t16))))) % 0.46/0.65 (assume @p14 (= (tptp.eq3 tptp.bfalse tptp.btrue) tptp.bfalse)) % 0.46/0.65 (assume @p15 (= (tptp.eq3 tptp.btrue tptp.bfalse) tptp.bfalse)) % 0.46/0.65 (assume @p16 (forall @t24 (= (tptp.eq2 @t25 (tptp.s @t1)) (tptp.eq2 @t16 @t1)))) % 0.46/0.65 (assume @p17 @t27) % 0.46/0.65 (assume @p18 @t29) % 0.46/0.65 (assume @p19 (forall @t18 (= (tptp.eq @t16 @t16) tptp.btrue))) % 0.46/0.65 (assume @p20 (forall @t18 (= (tptp.eq2 @t16 @t16) tptp.btrue))) % 0.46/0.65 (assume @p21 @t31) % 0.46/0.65 (assume @p22 @t38) % 0.46/0.65 (assume @p23 (forall @t37 (or (not (= @t34 tptp.btrue)) (= @t33 (tptp.eq @t1 @t13))))) % 0.46/0.65 (assume @p24 (forall @t24 (= (tptp.eq tptp.nil @t32) tptp.bfalse))) % 0.46/0.65 (assume @p25 (forall @t24 (= (tptp.eq @t32 tptp.nil) tptp.bfalse))) % 0.46/0.65 (assume @p26 @t41) % 0.46/0.65 (step @p27 :rule eq-symm :args (@t11 tptp.bfalse)) % 0.46/0.65 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 0.46/0.65 (step @p29 :rule eq_resolve :premises (@p6 @p28)) % 0.46/0.65 (step @p30 :rule instantiate :premises (@p29) :args (@t42)) % 0.46/0.65 (step @p31 :rule eq-symm :args (@t14 tptp.bfalse)) % 0.46/0.65 (step @p32 :rule cong :premises (@p31) :args (@t15)) % 0.46/0.65 (step @p33 :rule eq_resolve :premises (@p7 @p32)) % 0.46/0.65 (step @p34 :rule instantiate :premises (@p33) :args (@t42)) % 0.46/0.65 (step @p35 :rule eq-symm :args (@t17 tptp.bfalse)) % 0.46/0.65 (step @p36 :rule cong :premises (@p35) :args (@t19)) % 0.46/0.65 (step @p37 :rule eq_resolve :premises (@p9 @p36)) % 0.46/0.65 (step @p38 :rule instantiate :premises (@p37) :args (@t42)) % 0.46/0.65 (step @p39 :rule eq-symm :args (@t21 @t1)) % 0.46/0.65 (step @p40 :rule cong :premises (@p39) :args (@t22)) % 0.46/0.65 (step @p41 :rule eq_resolve :premises (@p11 @p40)) % 0.46/0.65 (step @p42 :rule instantiate :premises (@p41) :args ((@list tptp.nil))) % 0.46/0.65 (step @p43 :rule instantiate :premises (@p41) :args ((@list @t43))) % 0.46/0.65 (step @p44 :rule instantiate :premises (@p10) :args ((@list @t45 tptp.z @t44))) % 0.46/0.65 (step @p45 :rule eq-symm :args (@t7 @t1)) % 0.46/0.65 (step @p46 :rule cong :premises (@p45) :args (@t8)) % 0.46/0.65 (step @p47 :rule eq_resolve :premises (@p4 @p46)) % 0.46/0.65 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t46))) % 0.46/0.65 (step @p49 :rule instantiate :premises (@p37) :args ((@list @t45))) % 0.46/0.65 (step @p50 :rule instantiate :premises (@p10) :args ((@list tptp.z @t45 tptp.nil))) % 0.46/0.65 (step @p51 :rule instantiate :premises (@p12) :args ((@list tptp.z @t44 @t47))) % 0.46/0.65 (step @p52 :rule instantiate :premises (@p2) :args ((@list @t47 tptp.z @t44))) % 0.46/0.65 (step @p53 :rule instantiate :premises (@p12) :args ((@list @t45 tptp.nil @t48))) % 0.46/0.65 (step @p54 :rule instantiate :premises (@p13) :args (@t49)) % 0.46/0.65 (step @p55 :rule instantiate :premises (@p13) :args ((@list @t47 @t48))) % 0.46/0.65 (step @p56 :rule instantiate :premises (@p2) :args ((@list @t48 @t45 tptp.nil))) % 0.46/0.65 (step @p57 :rule eq-symm :args (@t39 tptp.btrue)) % 0.46/0.65 (step @p58 :rule cong :premises (@p57) :args (@t40)) % 0.46/0.65 (step @p59 :rule cong :premises (@p58) :args (@t41)) % 0.46/0.65 (step @p60 :rule eq_resolve :premises (@p26 @p59)) % 0.46/0.65 (step @p61 :rule instantiate :premises (@p60) :args (@t49)) % 0.46/0.65 (step @p62 :rule eq-symm :args (@t33 tptp.bfalse)) % 0.46/0.65 (step @p63 :rule eq-symm :args (@t34 tptp.bfalse)) % 0.46/0.65 (step @p64 :rule cong :premises (@p63) :args (@t35)) % 0.46/0.65 (step @p65 :rule nary_cong :premises (@p64 @p62) :args (@t36)) % 0.46/0.65 (step @p66 :rule cong :premises (@p65) :args (@t38)) % 0.46/0.65 (step @p67 :rule eq_resolve :premises (@p22 @p66)) % 0.46/0.65 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t45 tptp.z @t48 @t50))) % 0.46/0.65 (step @p69 :rule eq-symm :args (@t26 tptp.bfalse)) % 0.46/0.65 (step @p70 :rule cong :premises (@p69) :args (@t27)) % 0.46/0.65 (step @p71 :rule eq_resolve :premises (@p17 @p70)) % 0.46/0.65 (step @p72 :rule instantiate :premises (@p71) :args (@t42)) % 0.46/0.65 (step @p73 :rule cnf_or_pos :args (@t56)) % 0.46/0.65 (step @p74 :rule reordering :premises (@p73) :args ((or @t55 @t53 (not @t56)))) % 0.46/0.65 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p68) :args (@t53 @t57 (@list @t54 @t56))) % 0.46/0.65 (step @p76 :rule instantiate :premises (@p67) :args ((@list tptp.z @t45 @t50 @t48))) % 0.46/0.65 (step @p77 :rule eq-symm :args (@t28 tptp.bfalse)) % 0.46/0.65 (step @p78 :rule cong :premises (@p77) :args (@t29)) % 0.46/0.65 (step @p79 :rule eq_resolve :premises (@p18 @p78)) % 0.46/0.65 (step @p80 :rule instantiate :premises (@p79) :args (@t42)) % 0.46/0.65 (step @p81 :rule cnf_or_pos :args (@t62)) % 0.46/0.65 (step @p82 :rule reordering :premises (@p81) :args ((or @t61 @t59 (not @t62)))) % 0.46/0.65 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p76) :args (@t59 @t57 (@list @t60 @t62))) % 0.46/0.65 (step @p84 :rule eq-symm :args (@t30 tptp.btrue)) % 0.46/0.65 (step @p85 :rule cong :premises (@p84) :args (@t31)) % 0.46/0.65 (step @p86 :rule eq_resolve :premises (@p21 @p85)) % 0.46/0.65 (step @p87 :rule instantiate :premises (@p86) :args ((@list tptp.bfalse))) % 0.46/0.65 (step @p88 :rule refl :args (@t65)) % 0.46/0.65 (step @p89 :rule refl :args (@t66)) % 0.46/0.65 (step @p90 :rule refl :args (@t67)) % 0.46/0.65 (step @p91 :rule bool-double-not-elim :args (@t69)) % 0.46/0.65 (step @p92 :rule refl :args (@t72)) % 0.46/0.65 (step @p93 :rule refl :args (@t78)) % 0.46/0.65 (step @p94 :rule refl :args (@t80)) % 0.46/0.65 (step @p95 :rule refl :args (@t83)) % 0.46/0.65 (step @p96 :rule refl :args (@t86)) % 0.46/0.65 (step @p97 :rule refl :args (@t89)) % 0.46/0.65 (step @p98 :rule refl :args (@t93)) % 0.46/0.65 (step @p99 :rule refl :args (@t96)) % 0.46/0.65 (step @p100 :rule refl :args (@t99)) % 0.46/0.65 (step @p101 :rule refl :args (@t102)) % 0.46/0.65 (step @p102 :rule refl :args (@t105)) % 0.46/0.65 (step @p103 :rule refl :args (@t107)) % 0.46/0.65 (step @p104 :rule refl :args (@t109)) % 0.46/0.65 (step @p105 :rule refl :args (@t111)) % 0.46/0.65 (step @p106 :rule refl :args (@t113)) % 0.46/0.65 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88) :args ((or @t113 @t111 @t109 @t107 @t105 @t102 @t99 @t96 @t93 @t89 @t86 @t83 @t80 @t78 @t72 (not @t114) @t67 @t66 @t65))) % 0.46/0.65 (assume-push @p214 @t65) % 0.46/0.65 (assume-push @p215 @t64) % 0.46/0.65 (step @p110 :rule evaluate :args ((= false true))) % 0.46/0.65 (step @p111 :rule true_intro :premises (@p87)) % 0.46/0.65 (step @p112 :rule false_intro :premises (@p61)) % 0.46/0.65 (step @p113 :rule refl :args (tptp.bfalse)) % 0.46/0.65 (step @p114 :rule symm :premises (@p54)) % 0.46/0.65 (step @p115 :rule symm :premises (@p53)) % 0.46/0.65 (step @p116 :rule symm :premises (@p44)) % 0.46/0.65 (step @p117 :rule refl :args (@t46)) % 0.46/0.65 (step @p118 :rule cong :premises (@p30 @p117) :args (@t97)) % 0.46/0.65 (step @p119 :rule refl :args (@t45)) % 0.46/0.65 (step @p120 :rule cong :premises (@p119 @p42) :args (@t94)) % 0.46/0.65 (step @p121 :rule trans :premises (@p49 @p120 @p48 @p118 @p116)) % 0.46/0.65 (step @p122 :rule refl :args (tptp.nil)) % 0.46/0.65 (step @p123 :rule refl :args (tptp.z)) % 0.46/0.65 (step @p124 :rule cong :premises (@p123 @p42) :args (@t43)) % 0.46/0.65 (step @p125 :rule cong :premises (@p124 @p119 @p122 @p121) :args (@t115)) % 0.46/0.65 (step @p126 :rule symm :premises (@p124)) % 0.46/0.65 (step @p127 :rule cong :premises (@p126 @p119 @p122 @p113) :args (@t70)) % 0.46/0.65 (step @p128 :rule symm :premises (@p56)) % 0.46/0.65 (step @p129 :rule cong :premises (@p122 @p124) :args (@t103)) % 0.46/0.65 (step @p130 :rule trans :premises (@p126 @p43 @p129)) % 0.46/0.65 (step @p131 :rule cong :premises (@p119 @p130) :args (@t52)) % 0.46/0.65 (step @p132 :rule trans :premises (@p131 @p128 @p127 @p125 @p115)) % 0.46/0.65 (step @p133 :rule symm :premises (@p51)) % 0.46/0.65 (step @p134 :rule symm :premises (@p50)) % 0.46/0.65 (step @p135 :rule symm :premises (@p49)) % 0.46/0.65 (step @p136 :rule symm :premises (@p120)) % 0.46/0.65 (step @p137 :rule trans :premises (@p136 @p135 @p38)) % 0.46/0.65 (step @p138 :rule cong :premises (@p34 @p137) :args (@t97)) % 0.46/0.65 (step @p139 :rule trans :premises (@p49 @p120 @p48 @p138 @p134)) % 0.46/0.65 (step @p140 :rule refl :args (@t44)) % 0.46/0.65 (step @p141 :rule refl :args (@t47)) % 0.46/0.65 (step @p142 :rule cong :premises (@p141 @p123 @p140 @p139) :args (@t84)) % 0.46/0.65 (step @p143 :rule symm :premises (@p52)) % 0.46/0.65 (step @p144 :rule trans :premises (@p143 @p142 @p133)) % 0.46/0.65 (step @p145 :rule cong :premises (@p144 @p132) :args (@t58)) % 0.46/0.65 (step @p146 :rule trans :premises (@p83 @p145 @p114)) % 0.46/0.65 (step @p147 :rule symm :premises (@p75)) % 0.46/0.65 (step @p148 :rule symm :premises (@p144)) % 0.46/0.65 (step @p149 :rule symm :premises (@p132)) % 0.46/0.65 (step @p150 :rule cong :premises (@p149 @p148) :args (@t75)) % 0.46/0.65 (step @p151 :rule trans :premises (@p55 @p150 @p147)) % 0.46/0.65 (step @p152 :rule trans :premises (@p151 @p146)) % 0.46/0.65 (step @p153 :rule cong :premises (@p152 @p113) :args (@t116)) % 0.46/0.65 (step @p154 :rule symm :premises (@p151)) % 0.46/0.65 (step @p155 :rule cong :premises (@p154 @p113) :args (@t63)) % 0.46/0.65 (step @p156 :rule trans :premises (@p155 @p153)) % 0.46/0.65 (step @p157 :rule refl :args (tptp.btrue)) % 0.46/0.65 (step @p158 :rule cong :premises (@p157 @p156) :args (@t64)) % 0.46/0.65 (step @p159 :rule trans :premises (@p158 @p112)) % 0.46/0.65 (step @p160 :rule symm :premises (@p159)) % 0.46/0.65 (step @p161 :rule trans :premises (@p160 @p111)) % 0.46/0.65 (step @p162 false :rule eq_resolve :premises (@p161 @p110)) % 0.46/0.65 (step-pop @p216 :rule scope :premises (@p162)) % 0.46/0.65 (step-pop @p217 :rule scope :premises (@p216)) % 0.46/0.65 (step @p163 :rule process_scope :premises (@p217) :args (false)) % 0.46/0.65 (assume-push @p218 @t112) % 0.46/0.65 (assume-push @p219 @t110) % 0.46/0.65 (assume-push @p220 @t108) % 0.46/0.65 (assume-push @p221 @t106) % 0.46/0.65 (assume-push @p222 @t104) % 0.46/0.65 (assume-push @p223 @t101) % 0.46/0.65 (assume-push @p224 @t98) % 0.46/0.65 (assume-push @p225 @t95) % 0.46/0.65 (assume-push @p226 @t92) % 0.46/0.65 (assume-push @p227 @t88) % 0.46/0.65 (assume-push @p228 @t85) % 0.46/0.65 (assume-push @p229 @t82) % 0.46/0.65 (assume-push @p230 @t79) % 0.46/0.65 (assume-push @p231 @t77) % 0.46/0.65 (assume-push @p232 @t71) % 0.46/0.65 (assume-push @p233 @t114) % 0.46/0.65 (assume-push @p234 @t53) % 0.46/0.65 (assume-push @p235 @t59) % 0.46/0.65 (assume-push @p236 @t64) % 0.46/0.65 (step @p112 :rule false_intro :premises (@p61)) % 0.46/0.65 (step @p113 :rule refl :args (tptp.bfalse)) % 0.46/0.65 (step @p114 :rule symm :premises (@p54)) % 0.46/0.65 (step @p115 :rule symm :premises (@p53)) % 0.46/0.65 (step @p116 :rule symm :premises (@p44)) % 0.46/0.65 (step @p117 :rule refl :args (@t46)) % 0.46/0.65 (step @p118 :rule cong :premises (@p30 @p117) :args (@t97)) % 0.46/0.65 (step @p119 :rule refl :args (@t45)) % 0.46/0.65 (step @p120 :rule cong :premises (@p119 @p42) :args (@t94)) % 0.46/0.65 (step @p121 :rule trans :premises (@p49 @p120 @p48 @p118 @p116)) % 0.46/0.65 (step @p122 :rule refl :args (tptp.nil)) % 0.46/0.65 (step @p123 :rule refl :args (tptp.z)) % 0.46/0.65 (step @p124 :rule cong :premises (@p123 @p42) :args (@t43)) % 0.46/0.65 (step @p125 :rule cong :premises (@p124 @p119 @p122 @p121) :args (@t115)) % 0.46/0.65 (step @p126 :rule symm :premises (@p124)) % 0.46/0.65 (step @p127 :rule cong :premises (@p126 @p119 @p122 @p113) :args (@t70)) % 0.46/0.65 (step @p128 :rule symm :premises (@p56)) % 0.46/0.65 (step @p129 :rule cong :premises (@p122 @p124) :args (@t103)) % 0.46/0.65 (step @p130 :rule trans :premises (@p126 @p43 @p129)) % 0.46/0.65 (step @p131 :rule cong :premises (@p119 @p130) :args (@t52)) % 0.46/0.65 (step @p132 :rule trans :premises (@p131 @p128 @p127 @p125 @p115)) % 0.46/0.65 (step @p133 :rule symm :premises (@p51)) % 0.46/0.65 (step @p134 :rule symm :premises (@p50)) % 0.46/0.65 (step @p135 :rule symm :premises (@p49)) % 0.46/0.65 (step @p136 :rule symm :premises (@p120)) % 0.46/0.65 (step @p137 :rule trans :premises (@p136 @p135 @p38)) % 0.46/0.65 (step @p138 :rule cong :premises (@p34 @p137) :args (@t97)) % 0.46/0.65 (step @p139 :rule trans :premises (@p49 @p120 @p48 @p138 @p134)) % 0.46/0.65 (step @p140 :rule refl :args (@t44)) % 0.46/0.65 (step @p141 :rule refl :args (@t47)) % 0.46/0.65 (step @p142 :rule cong :premises (@p141 @p123 @p140 @p139) :args (@t84)) % 0.46/0.65 (step @p143 :rule symm :premises (@p52)) % 0.46/0.65 (step @p144 :rule trans :premises (@p143 @p142 @p133)) % 0.46/0.65 (step @p145 :rule cong :premises (@p144 @p132) :args (@t58)) % 0.46/0.65 (step @p146 :rule trans :premises (@p83 @p145 @p114)) % 0.46/0.65 (step @p147 :rule symm :premises (@p75)) % 0.46/0.65 (step @p148 :rule symm :premises (@p144)) % 0.46/0.65 (step @p149 :rule symm :premises (@p132)) % 0.46/0.65 (step @p150 :rule cong :premises (@p149 @p148) :args (@t75)) % 0.46/0.65 (step @p151 :rule trans :premises (@p55 @p150 @p147)) % 0.46/0.65 (step @p152 :rule trans :premises (@p151 @p146)) % 0.46/0.65 (step @p153 :rule cong :premises (@p152 @p113) :args (@t116)) % 0.46/0.65 (step @p154 :rule symm :premises (@p151)) % 0.46/0.65 (step @p155 :rule cong :premises (@p154 @p113) :args (@t63)) % 0.46/0.65 (step @p156 :rule trans :premises (@p155 @p153)) % 0.46/0.65 (step @p157 :rule refl :args (tptp.btrue)) % 0.46/0.65 (step @p158 :rule cong :premises (@p157 @p156) :args (@t64)) % 0.46/0.65 (step @p185 :rule trans :premises (@p158 @p112)) % 0.46/0.65 (step @p186 :rule false_elim :premises (@p185)) % 0.46/0.65 (step @p187 :rule and_intro :premises (@p186 @p87)) % 0.46/0.65 (step-pop @p237 :rule scope :premises (@p187)) % 0.46/0.65 (step-pop @p238 :rule scope :premises (@p237)) % 0.46/0.65 (step-pop @p239 :rule scope :premises (@p238)) % 0.46/0.65 (step-pop @p240 :rule scope :premises (@p239)) % 0.46/0.65 (step-pop @p241 :rule scope :premises (@p240)) % 0.46/0.65 (step-pop @p242 :rule scope :premises (@p241)) % 0.46/0.65 (step-pop @p243 :rule scope :premises (@p242)) % 0.46/0.65 (step-pop @p244 :rule scope :premises (@p243)) % 0.46/0.65 (step-pop @p245 :rule scope :premises (@p244)) % 0.46/0.65 (step-pop @p246 :rule scope :premises (@p245)) % 0.46/0.65 (step-pop @p247 :rule scope :premises (@p246)) % 0.46/0.65 (step-pop @p248 :rule scope :premises (@p247)) % 0.46/0.65 (step-pop @p249 :rule scope :premises (@p248)) % 0.46/0.65 (step-pop @p250 :rule scope :premises (@p249)) % 0.46/0.65 (step-pop @p251 :rule scope :premises (@p250)) % 0.46/0.65 (step-pop @p252 :rule scope :premises (@p251)) % 0.46/0.65 (step-pop @p253 :rule scope :premises (@p252)) % 0.46/0.65 (step-pop @p254 :rule scope :premises (@p253)) % 0.46/0.65 (step-pop @p255 :rule scope :premises (@p254)) % 0.46/0.65 (step @p188 :rule process_scope :premises (@p255) :args (@t117)) % 0.46/0.65 (step @p208 :rule implies_elim :premises (@p188)) % 0.46/0.65 (step @p209 :rule resolution :premises (@p208 @p163) :args (true @t117)) % 0.46/0.65 (step @p210 :rule not_and :premises (@p209)) % 0.46/0.65 (step @p211 :rule eq_resolve :premises (@p210 @p107)) % 0.46/0.65 (step @p212 :rule reordering :premises (@p211) :args ((or @t113 @t111 @t109 @t107 @t105 @t102 @t99 @t96 @t93 @t89 @t86 @t83 @t80 @t78 @t69 @t72 @t67 @t66 @t65))) % 0.46/0.65 (step @p213 false :rule chain_m_resolution :premises (@p212 @p87 @p83 @p75 @p61 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p44 @p43 @p42 @p38 @p34 @p30) :args (false (@list false false false true false false false false false false false false false false false false false false false) (@list @t64 @t59 @t53 @t69 @t71 @t77 @t79 @t82 @t85 @t88 @t92 @t95 @t98 @t101 @t104 @t106 @t108 @t110 @t112))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------