%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT177-1 : TPTP v9.2.1. Released v3.1.0. % 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 08:29:53 AM UTC 2026 % Result : Unsatisfiable 21.20s 21.44s % Output : Proof 21.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT177-1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 00:56:00 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.21/15.45 --- Run --no-e-matching --full-saturate-quant at 6... % 21.20/21.44 % SZS status Unsatisfiable % 21.20/21.44 % SZS output start Proof % 21.20/21.44 ( % 21.20/21.44 (declare-sort $$unsorted 0) % 21.20/21.44 (declare-const tptp.c $$unsorted) % 21.20/21.44 (declare-const tptp.a $$unsorted) % 21.20/21.44 (declare-const tptp.b $$unsorted) % 21.20/21.44 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 21.20/21.44 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 21.20/21.44 (define @t1 () (@var "X" $$unsorted)) % 21.20/21.44 (define @t2 () (tptp.meet @t1 @t1)) % 21.20/21.44 (define @t3 () (@list @t1)) % 21.20/21.44 (define @t4 () (forall @t3 (= @t2 @t1))) % 21.20/21.44 (define @t5 () (@var "Y" $$unsorted)) % 21.20/21.44 (define @t6 () (tptp.join @t1 @t5)) % 21.20/21.44 (define @t7 () (tptp.meet @t1 @t6)) % 21.20/21.44 (define @t8 () (@list @t1 @t5)) % 21.20/21.44 (define @t9 () (forall @t8 (= @t7 @t1))) % 21.20/21.44 (define @t10 () (tptp.meet @t1 @t5)) % 21.20/21.44 (define @t11 () (tptp.join @t1 @t10)) % 21.20/21.44 (define @t12 () (forall @t8 (= @t11 @t1))) % 21.20/21.44 (define @t13 () (@var "Z" $$unsorted)) % 21.20/21.44 (define @t14 () (@list @t1 @t5 @t13)) % 21.20/21.44 (define @t15 () (forall @t14 (= (tptp.meet @t10 @t13) (tptp.meet @t1 (tptp.meet @t5 @t13))))) % 21.20/21.44 (define @t16 () (forall @t14 (= (tptp.join @t6 @t13) (tptp.join @t1 (tptp.join @t5 @t13))))) % 21.20/21.44 (define @t17 () (@var "U" $$unsorted)) % 21.20/21.44 (define @t18 () (tptp.join tptp.a tptp.b)) % 21.20/21.44 (define @t19 () (tptp.meet tptp.c @t18)) % 21.20/21.44 (define @t20 () (tptp.meet tptp.a tptp.c)) % 21.20/21.44 (define @t21 () (tptp.join tptp.b @t20)) % 21.20/21.44 (define @t22 () (tptp.meet tptp.a @t21)) % 21.20/21.44 (define @t23 () (tptp.join @t22 @t19)) % 21.20/21.44 (define @t24 () (tptp.meet tptp.a @t23)) % 21.20/21.44 (define @t25 () (= @t22 @t24)) % 21.20/21.44 (define @t26 () (@list tptp.a tptp.b)) % 21.20/21.44 (define @t27 () (@list tptp.a tptp.c)) % 21.20/21.44 (define @t28 () (tptp.meet tptp.b @t18)) % 21.20/21.44 (define @t29 () (tptp.join tptp.a @t28)) % 21.20/21.44 (define @t30 () (@list tptp.a @t21)) % 21.20/21.44 (define @t31 () (@list @t21 tptp.a)) % 21.20/21.44 (define @t32 () (tptp.join @t20 tptp.b)) % 21.20/21.44 (define @t33 () (tptp.meet @t21 tptp.a)) % 21.20/21.44 (define @t34 () (tptp.join tptp.b tptp.a)) % 21.20/21.44 (define @t35 () (tptp.join (tptp.join tptp.b @t22) @t19)) % 21.20/21.44 (define @t36 () (tptp.join tptp.b @t23)) % 21.20/21.44 (define @t37 () (= @t35 @t36)) % 21.20/21.44 (define @t38 () (@list tptp.b @t22 @t19)) % 21.20/21.44 (define @t39 () (= @t36 @t35)) % 21.20/21.44 (define @t40 () (@list false)) % 21.20/21.44 (define @t41 () (@list @t18 @t23)) % 21.20/21.44 (define @t42 () (tptp.meet @t33 @t23)) % 21.20/21.44 (define @t43 () (tptp.meet @t21 @t24)) % 21.20/21.44 (define @t44 () (= @t42 @t43)) % 21.20/21.44 (define @t45 () (@list @t21 tptp.a @t23)) % 21.20/21.44 (define @t46 () (= @t43 @t42)) % 21.20/21.44 (define @t47 () (tptp.meet tptp.b tptp.a)) % 21.20/21.44 (define @t48 () (tptp.meet tptp.a tptp.b)) % 21.20/21.44 (define @t49 () (= @t48 @t47)) % 21.20/21.44 (define @t50 () (= @t18 @t34)) % 21.20/21.44 (define @t51 () (tptp.meet tptp.a @t18)) % 21.20/21.44 (define @t52 () (= tptp.a @t51)) % 21.20/21.44 (define @t53 () (= tptp.a (tptp.join tptp.a @t48))) % 21.20/21.44 (define @t54 () (tptp.meet tptp.c tptp.a)) % 21.20/21.44 (define @t55 () (= @t20 @t54)) % 21.20/21.44 (define @t56 () (= tptp.b (tptp.meet tptp.b @t34))) % 21.20/21.44 (define @t57 () (tptp.join tptp.a @t20)) % 21.20/21.44 (define @t58 () (= tptp.a @t57)) % 21.20/21.44 (define @t59 () (tptp.meet @t29 @t29)) % 21.20/21.44 (define @t60 () (= @t29 @t59)) % 21.20/21.44 (define @t61 () (= @t21 @t32)) % 21.20/21.44 (define @t62 () (= @t22 @t33)) % 21.20/21.44 (define @t63 () (tptp.join @t21 tptp.a)) % 21.20/21.44 (define @t64 () (tptp.join tptp.a @t21)) % 21.20/21.44 (define @t65 () (= @t64 @t63)) % 21.20/21.44 (define @t66 () (tptp.join @t57 tptp.b)) % 21.20/21.44 (define @t67 () (= @t66 (tptp.join tptp.a @t32))) % 21.20/21.44 (define @t68 () (tptp.meet @t23 @t23)) % 21.20/21.44 (define @t69 () (= @t23 @t68)) % 21.20/21.44 (define @t70 () (tptp.meet @t20 @t32)) % 21.20/21.44 (define @t71 () (= @t20 @t70)) % 21.20/21.44 (define @t72 () (tptp.join @t21 @t33)) % 21.20/21.44 (define @t73 () (= @t21 @t72)) % 21.20/21.44 (define @t74 () (tptp.meet @t21 @t63)) % 21.20/21.44 (define @t75 () (= @t21 @t74)) % 21.20/21.44 (define @t76 () (tptp.meet @t22 tptp.c)) % 21.20/21.44 (define @t77 () (= (tptp.meet tptp.c @t22) @t76)) % 21.20/21.44 (define @t78 () (tptp.meet tptp.a @t32)) % 21.20/21.44 (define @t79 () (tptp.meet tptp.c @t78)) % 21.20/21.44 (define @t80 () (= (tptp.meet @t54 @t32) @t79)) % 21.20/21.44 (define @t81 () (tptp.join @t22 @t20)) % 21.20/21.44 (define @t82 () (= (tptp.join @t20 @t22) @t81)) % 21.20/21.44 (define @t83 () (= @t22 (tptp.join @t22 @t76))) % 21.20/21.44 (define @t84 () (tptp.join @t20 @t33)) % 21.20/21.44 (define @t85 () (tptp.join tptp.b @t84)) % 21.20/21.44 (define @t86 () (= @t72 @t85)) % 21.20/21.44 (define @t87 () (tptp.meet @t18 tptp.c)) % 21.20/21.44 (define @t88 () (= @t19 @t87)) % 21.20/21.44 (define @t89 () (tptp.meet @t22 @t18)) % 21.20/21.44 (define @t90 () (= @t89 (tptp.meet tptp.a (tptp.meet @t21 @t18)))) % 21.20/21.44 (define @t91 () (tptp.meet @t18 @t22)) % 21.20/21.44 (define @t92 () (= @t89 @t91)) % 21.20/21.44 (define @t93 () (= @t18 (tptp.join @t18 @t91))) % 21.20/21.44 (define @t94 () (tptp.meet @t19 tptp.a)) % 21.20/21.44 (define @t95 () (tptp.meet tptp.a @t19)) % 21.20/21.44 (define @t96 () (= @t95 @t94)) % 21.20/21.44 (define @t97 () (tptp.meet @t51 tptp.c)) % 21.20/21.44 (define @t98 () (= @t97 (tptp.meet tptp.a @t87))) % 21.20/21.44 (define @t99 () (tptp.join @t19 tptp.b)) % 21.20/21.44 (define @t100 () (= (tptp.join tptp.b @t19) @t99)) % 21.20/21.44 (define @t101 () (tptp.join @t19 @t94)) % 21.20/21.44 (define @t102 () (= @t19 @t101)) % 21.20/21.44 (define @t103 () (tptp.join tptp.a tptp.a)) % 21.20/21.44 (define @t104 () (tptp.meet tptp.c @t34)) % 21.20/21.44 (define @t105 () (tptp.join tptp.b @t104)) % 21.20/21.44 (define @t106 () (tptp.meet @t105 @t103)) % 21.20/21.44 (define @t107 () (tptp.join tptp.b @t106)) % 21.20/21.44 (define @t108 () (tptp.join tptp.a @t47)) % 21.20/21.44 (define @t109 () (= (tptp.join tptp.b (tptp.meet tptp.c @t108)) @t107)) % 21.20/21.44 (define @t110 () (tptp.join @t21 @t19)) % 21.20/21.44 (define @t111 () (= @t110 (tptp.join @t19 @t21))) % 21.20/21.44 (define @t112 () (tptp.join @t19 @t32)) % 21.20/21.44 (define @t113 () (= (tptp.join (tptp.join @t19 @t20) tptp.b) @t112)) % 21.20/21.44 (define @t114 () (tptp.meet @t22 @t23)) % 21.20/21.44 (define @t115 () (= @t22 @t114)) % 21.20/21.44 (define @t116 () (tptp.meet @t34 tptp.c)) % 21.20/21.44 (define @t117 () (tptp.meet @t29 @t116)) % 21.20/21.44 (define @t118 () (= (tptp.meet (tptp.meet @t29 @t34) tptp.c) @t117)) % 21.20/21.44 (define @t119 () (= @t24 (tptp.meet @t23 tptp.a))) % 21.20/21.44 (define @t120 () (tptp.meet @t18 @t23)) % 21.20/21.44 (define @t121 () (= @t18 (tptp.join @t18 @t120))) % 21.20/21.44 (define @t122 () (tptp.meet @t23 @t18)) % 21.20/21.44 (define @t123 () (= @t120 @t122)) % 21.20/21.44 (define @t124 () (tptp.join @t23 @t18)) % 21.20/21.44 (define @t125 () (tptp.join @t18 @t23)) % 21.20/21.44 (define @t126 () (= @t125 @t124)) % 21.20/21.44 (define @t127 () (tptp.join @t18 @t22)) % 21.20/21.44 (define @t128 () (tptp.meet @t23 @t127)) % 21.20/21.44 (define @t129 () (tptp.join @t18 @t128)) % 21.20/21.44 (define @t130 () (tptp.meet @t129 @t23)) % 21.20/21.44 (define @t131 () (tptp.join @t18 @t130)) % 21.20/21.44 (define @t132 () (= (tptp.join @t18 (tptp.meet @t23 (tptp.join @t22 (tptp.meet @t18 @t19)))) @t131)) % 21.20/21.44 (define @t133 () (tptp.meet @t23 @t124)) % 21.20/21.44 (define @t134 () (= @t23 @t133)) % 21.20/21.44 (define @t135 () (tptp.join @t24 tptp.b)) % 21.20/21.44 (define @t136 () (= (tptp.join tptp.b @t24) @t135)) % 21.20/21.44 (define @t137 () (tptp.meet @t23 @t108)) % 21.20/21.44 (define @t138 () (tptp.join tptp.b @t137)) % 21.20/21.44 (define @t139 () (= @t138 (tptp.join tptp.b (tptp.meet (tptp.join tptp.b (tptp.meet @t23 @t34)) @t103)))) % 21.20/21.44 (define @t140 () (tptp.meet @t24 @t21)) % 21.20/21.44 (define @t141 () (= @t43 @t140)) % 21.20/21.44 (define @t142 () (= @t24 (tptp.meet @t24 @t135))) % 21.20/21.44 (define @t143 () (and @t49 @t50 @t52 @t53 @t55 @t56 @t58 @t60 @t61 @t62 @t65 @t67 @t69 @t71 @t73 @t75 @t77 @t80 @t82 @t83 @t86 @t88 @t90 @t92 @t93 @t96 @t98 @t100 @t102 @t109 @t111 @t113 @t115 @t118 @t119 @t39 @t121 @t123 @t126 @t132 @t134 @t136 @t139 @t141 @t46 @t142)) % 21.20/21.44 (assume @p1 @t4) % 21.20/21.44 (assume @p2 (forall @t3 (= (tptp.join @t1 @t1) @t1))) % 21.20/21.44 (assume @p3 @t9) % 21.20/21.44 (assume @p4 @t12) % 21.20/21.44 (assume @p5 (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 21.20/21.44 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 21.20/21.44 (assume @p7 @t15) % 21.20/21.44 (assume @p8 @t16) % 21.20/21.44 (assume @p9 (forall (@list @t1 @t5 @t13 @t17) (= (tptp.join @t1 (tptp.meet @t5 (tptp.join @t13 (tptp.meet @t1 @t17)))) (tptp.join @t1 (tptp.meet (tptp.join @t1 (tptp.meet @t5 (tptp.join @t1 @t13))) (tptp.join @t13 @t17)))))) % 21.20/21.44 (assume @p10 (not @t25)) % 21.20/21.44 (step @p11 :rule instantiate :premises (@p5) :args (@t26)) % 21.20/21.44 (step @p12 :rule instantiate :premises (@p6) :args (@t26)) % 21.20/21.44 (step @p13 :rule eq-symm :args (@t7 @t1)) % 21.20/21.44 (step @p14 :rule cong :premises (@p13) :args (@t9)) % 21.20/21.44 (step @p15 :rule eq_resolve :premises (@p3 @p14)) % 21.20/21.44 (step @p16 :rule instantiate :premises (@p15) :args (@t26)) % 21.20/21.44 (step @p17 :rule eq-symm :args (@t11 @t1)) % 21.20/21.44 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 21.20/21.44 (step @p19 :rule eq_resolve :premises (@p4 @p18)) % 21.20/21.44 (step @p20 :rule instantiate :premises (@p19) :args (@t26)) % 21.20/21.44 (step @p21 :rule instantiate :premises (@p5) :args (@t27)) % 21.20/21.44 (step @p22 :rule instantiate :premises (@p15) :args ((@list tptp.b tptp.a))) % 21.20/21.44 (step @p23 :rule instantiate :premises (@p19) :args (@t27)) % 21.20/21.44 (step @p24 :rule eq-symm :args (@t2 @t1)) % 21.20/21.44 (step @p25 :rule cong :premises (@p24) :args (@t4)) % 21.20/21.44 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 21.20/21.44 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t29))) % 21.20/21.44 (step @p28 :rule instantiate :premises (@p6) :args ((@list tptp.b @t20))) % 21.20/21.44 (step @p29 :rule instantiate :premises (@p5) :args (@t30)) % 21.20/21.44 (step @p30 :rule instantiate :premises (@p6) :args (@t30)) % 21.20/21.44 (step @p31 :rule instantiate :premises (@p8) :args ((@list tptp.a @t20 tptp.b))) % 21.20/21.44 (step @p32 :rule instantiate :premises (@p26) :args ((@list @t23))) % 21.20/21.44 (step @p33 :rule instantiate :premises (@p15) :args ((@list @t20 tptp.b))) % 21.20/21.44 (step @p34 :rule instantiate :premises (@p19) :args (@t31)) % 21.20/21.44 (step @p35 :rule instantiate :premises (@p15) :args (@t31)) % 21.20/21.44 (step @p36 :rule instantiate :premises (@p5) :args ((@list tptp.c @t22))) % 21.20/21.44 (step @p37 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.a @t32))) % 21.20/21.44 (step @p38 :rule instantiate :premises (@p6) :args ((@list @t20 @t22))) % 21.20/21.44 (step @p39 :rule instantiate :premises (@p19) :args ((@list @t22 tptp.c))) % 21.20/21.44 (step @p40 :rule instantiate :premises (@p8) :args ((@list tptp.b @t20 @t33))) % 21.20/21.44 (step @p41 :rule instantiate :premises (@p5) :args ((@list tptp.c @t18))) % 21.20/21.44 (step @p42 :rule instantiate :premises (@p7) :args ((@list tptp.a @t21 @t18))) % 21.20/21.44 (step @p43 :rule instantiate :premises (@p5) :args ((@list @t22 @t18))) % 21.20/21.44 (step @p44 :rule instantiate :premises (@p19) :args ((@list @t18 @t22))) % 21.20/21.44 (step @p45 :rule instantiate :premises (@p5) :args ((@list tptp.a @t19))) % 21.20/21.44 (step @p46 :rule instantiate :premises (@p7) :args ((@list tptp.a @t18 tptp.c))) % 21.20/21.44 (step @p47 :rule instantiate :premises (@p6) :args ((@list tptp.b @t19))) % 21.20/21.44 (step @p48 :rule instantiate :premises (@p19) :args ((@list @t19 tptp.a))) % 21.20/21.44 (step @p49 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.c tptp.a tptp.a))) % 21.20/21.44 (step @p50 :rule instantiate :premises (@p6) :args ((@list @t21 @t19))) % 21.20/21.44 (step @p51 :rule instantiate :premises (@p8) :args ((@list @t19 @t20 tptp.b))) % 21.20/21.44 (step @p52 :rule instantiate :premises (@p15) :args ((@list @t22 @t19))) % 21.20/21.44 (step @p53 :rule instantiate :premises (@p7) :args ((@list @t29 @t34 tptp.c))) % 21.20/21.44 (step @p54 :rule instantiate :premises (@p5) :args ((@list tptp.a @t23))) % 21.20/21.44 (step @p55 :rule eq-symm :args (@t35 @t36)) % 21.20/21.44 (step @p56 :rule refl :args (@t16)) % 21.20/21.44 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t16 @t37))) % 21.20/21.44 (assume-push @p292 @t16) % 21.20/21.44 (step @p59 :rule instantiate :premises (@p8) :args (@t38)) % 21.20/21.44 (step-pop @p293 :rule scope :premises (@p59)) % 21.20/21.44 (step @p60 :rule process_scope :premises (@p293) :args (@t37)) % 21.20/21.44 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 21.20/21.44 (step @p63 :rule implies_elim :premises (@p62)) % 21.20/21.44 (step @p64 :rule chain_m_resolution :premises (@p63 @p8) :args (@t39 @t40 (@list @t16))) % 21.20/21.44 (step @p65 :rule instantiate :premises (@p19) :args (@t41)) % 21.20/21.44 (step @p66 :rule instantiate :premises (@p5) :args (@t41)) % 21.20/21.44 (step @p67 :rule instantiate :premises (@p6) :args (@t41)) % 21.20/21.44 (step @p68 :rule instantiate :premises (@p9) :args ((@list @t18 @t23 @t22 @t19))) % 21.20/21.44 (step @p69 :rule instantiate :premises (@p15) :args ((@list @t23 @t18))) % 21.20/21.44 (step @p70 :rule instantiate :premises (@p6) :args ((@list tptp.b @t24))) % 21.20/21.44 (step @p71 :rule instantiate :premises (@p9) :args ((@list tptp.b @t23 tptp.a tptp.a))) % 21.20/21.44 (step @p72 :rule instantiate :premises (@p5) :args ((@list @t21 @t24))) % 21.20/21.44 (step @p73 :rule eq-symm :args (@t42 @t43)) % 21.20/21.44 (step @p74 :rule refl :args (@t15)) % 21.20/21.44 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t15 @t44))) % 21.20/21.44 (assume-push @p294 @t15) % 21.20/21.44 (step @p77 :rule instantiate :premises (@p7) :args (@t45)) % 21.20/21.44 (step-pop @p295 :rule scope :premises (@p77)) % 21.20/21.44 (step @p78 :rule process_scope :premises (@p295) :args (@t44)) % 21.20/21.44 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 21.20/21.44 (step @p81 :rule implies_elim :premises (@p80)) % 21.20/21.44 (step @p82 :rule chain_m_resolution :premises (@p81 @p7) :args (@t46 @t40 (@list @t15))) % 21.20/21.44 (step @p83 :rule instantiate :premises (@p15) :args ((@list @t24 tptp.b))) % 21.20/21.44 (assume-push @p296 @t49) % 21.20/21.44 (assume-push @p297 @t50) % 21.20/21.44 (assume-push @p298 @t52) % 21.20/21.44 (assume-push @p299 @t53) % 21.20/21.44 (assume-push @p300 @t55) % 21.20/21.44 (assume-push @p301 @t56) % 21.20/21.44 (assume-push @p302 @t58) % 21.20/21.44 (assume-push @p303 @t60) % 21.20/21.44 (assume-push @p304 @t61) % 21.20/21.44 (assume-push @p305 @t62) % 21.20/21.44 (assume-push @p306 @t65) % 21.20/21.44 (assume-push @p307 @t67) % 21.20/21.44 (assume-push @p308 @t69) % 21.20/21.44 (assume-push @p309 @t71) % 21.20/21.44 (assume-push @p310 @t73) % 21.20/21.44 (assume-push @p311 @t75) % 21.20/21.44 (assume-push @p312 @t77) % 21.20/21.44 (assume-push @p313 @t80) % 21.20/21.44 (assume-push @p314 @t82) % 21.20/21.44 (assume-push @p315 @t83) % 21.20/21.44 (assume-push @p316 @t86) % 21.20/21.44 (assume-push @p317 @t88) % 21.20/21.44 (assume-push @p318 @t90) % 21.20/21.44 (assume-push @p319 @t92) % 21.20/21.44 (assume-push @p320 @t93) % 21.20/21.44 (assume-push @p321 @t96) % 21.20/21.44 (assume-push @p322 @t98) % 21.20/21.44 (assume-push @p323 @t100) % 21.20/21.44 (assume-push @p324 @t102) % 21.20/21.44 (assume-push @p325 @t109) % 21.20/21.44 (assume-push @p326 @t111) % 21.20/21.44 (assume-push @p327 @t113) % 21.20/21.44 (assume-push @p328 @t115) % 21.20/21.44 (assume-push @p329 @t118) % 21.20/21.44 (assume-push @p330 @t119) % 21.20/21.44 (assume-push @p331 @t39) % 21.20/21.44 (assume-push @p332 @t121) % 21.20/21.44 (assume-push @p333 @t123) % 21.20/21.44 (assume-push @p334 @t126) % 21.20/21.44 (assume-push @p335 @t132) % 21.20/21.44 (assume-push @p336 @t134) % 21.20/21.44 (assume-push @p337 @t136) % 21.20/21.44 (assume-push @p338 @t139) % 21.20/21.44 (assume-push @p339 @t141) % 21.20/21.44 (assume-push @p340 @t46) % 21.20/21.44 (assume-push @p341 @t142) % 21.20/21.44 (step @p130 :rule symm :premises (@p83)) % 21.20/21.44 (step @p131 :rule symm :premises (@p54)) % 21.20/21.44 (step @p132 :rule symm :premises (@p20)) % 21.20/21.44 (step @p133 :rule symm :premises (@p11)) % 21.20/21.44 (step @p134 :rule refl :args (tptp.a)) % 21.20/21.44 (step @p135 :rule cong :premises (@p134 @p133) :args (@t108)) % 21.20/21.44 (step @p136 :rule trans :premises (@p135 @p132)) % 21.20/21.44 (step @p137 :rule refl :args (@t23)) % 21.20/21.44 (step @p138 :rule cong :premises (@p137 @p136) :args (@t137)) % 21.20/21.44 (step @p139 :rule trans :premises (@p138 @p131)) % 21.20/21.44 (step @p140 :rule refl :args (tptp.b)) % 21.20/21.44 (step @p141 :rule cong :premises (@p140 @p139) :args (@t138)) % 21.20/21.44 (step @p142 :rule symm :premises (@p71)) % 21.20/21.44 (step @p143 :rule refl :args (@t103)) % 21.20/21.44 (step @p144 :rule cong :premises (@p137 @p12) :args (@t122)) % 21.20/21.44 (step @p145 :rule symm :premises (@p65)) % 21.20/21.44 (step @p146 :rule symm :premises (@p22)) % 21.20/21.44 (step @p147 :rule cong :premises (@p140 @p12) :args (@t28)) % 21.20/21.44 (step @p148 :rule trans :premises (@p147 @p146)) % 21.20/21.44 (step @p149 :rule cong :premises (@p134 @p148) :args (@t29)) % 21.20/21.44 (step @p150 :rule symm :premises (@p149)) % 21.20/21.44 (step @p151 :rule symm :premises (@p66)) % 21.20/21.44 (step @p152 :rule symm :premises (@p44)) % 21.20/21.44 (step @p153 :rule symm :premises (@p42)) % 21.20/21.44 (step @p154 :rule symm :premises (@p23)) % 21.20/21.44 (step @p155 :rule cong :premises (@p154 @p140) :args (@t66)) % 21.20/21.44 (step @p156 :rule symm :premises (@p31)) % 21.20/21.44 (step @p157 :rule cong :premises (@p134 @p28) :args (@t64)) % 21.20/21.44 (step @p158 :rule symm :premises (@p30)) % 21.20/21.44 (step @p159 :rule trans :premises (@p158 @p157 @p156 @p155)) % 21.20/21.44 (step @p160 :rule refl :args (@t21)) % 21.20/21.44 (step @p161 :rule cong :premises (@p160 @p159) :args (@t74)) % 21.20/21.44 (step @p162 :rule trans :premises (@p35 @p161)) % 21.20/21.44 (step @p163 :rule cong :premises (@p134 @p162) :args (@t22)) % 21.20/21.44 (step @p164 :rule trans :premises (@p163 @p153 @p43)) % 21.20/21.44 (step @p165 :rule refl :args (@t18)) % 21.20/21.44 (step @p166 :rule cong :premises (@p165 @p164) :args (@t127)) % 21.20/21.44 (step @p167 :rule trans :premises (@p166 @p152)) % 21.20/21.44 (step @p168 :rule cong :premises (@p137 @p167) :args (@t128)) % 21.20/21.44 (step @p169 :rule trans :premises (@p168 @p151)) % 21.20/21.44 (step @p170 :rule cong :premises (@p165 @p169) :args (@t129)) % 21.20/21.44 (step @p171 :rule trans :premises (@p170 @p145 @p150)) % 21.20/21.44 (step @p172 :rule trans :premises (@p171 @p149)) % 21.20/21.44 (step @p173 :rule cong :premises (@p172 @p137) :args (@t130)) % 21.20/21.44 (step @p174 :rule cong :premises (@p165 @p173) :args (@t131)) % 21.20/21.44 (step @p175 :rule symm :premises (@p41)) % 21.20/21.44 (step @p176 :rule refl :args (tptp.c)) % 21.20/21.44 (step @p177 :rule symm :premises (@p12)) % 21.20/21.44 (step @p178 :rule cong :premises (@p177 @p176) :args (@t116)) % 21.20/21.44 (step @p179 :rule trans :premises (@p178 @p175)) % 21.20/21.44 (step @p180 :rule cong :premises (@p149 @p179) :args (@t117)) % 21.20/21.44 (step @p181 :rule trans :premises (@p177 @p150)) % 21.20/21.44 (step @p182 :rule symm :premises (@p181)) % 21.20/21.44 (step @p183 :rule refl :args (@t29)) % 21.20/21.44 (step @p184 :rule cong :premises (@p183 @p182) :args (@t59)) % 21.20/21.44 (step @p185 :rule trans :premises (@p27 @p184)) % 21.20/21.44 (step @p186 :rule trans :premises (@p150 @p185)) % 21.20/21.44 (step @p187 :rule cong :premises (@p186 @p176) :args (@t87)) % 21.20/21.44 (step @p188 :rule trans :premises (@p41 @p187 @p53 @p180)) % 21.20/21.44 (step @p189 :rule refl :args (@t22)) % 21.20/21.44 (step @p190 :rule cong :premises (@p189 @p188) :args (@t23)) % 21.20/21.44 (step @p191 :rule cong :premises (@p137 @p190) :args (@t68)) % 21.20/21.44 (step @p192 :rule trans :premises (@p32 @p191)) % 21.20/21.44 (step @p193 :rule cong :premises (@p165 @p192) :args (@t125)) % 21.20/21.44 (step @p194 :rule symm :premises (@p67)) % 21.20/21.44 (step @p195 :rule trans :premises (@p194 @p193 @p68 @p174 @p145)) % 21.20/21.44 (step @p196 :rule cong :premises (@p137 @p195) :args (@t133)) % 21.20/21.44 (step @p197 :rule trans :premises (@p69 @p196 @p144)) % 21.20/21.44 (step @p198 :rule cong :premises (@p140 @p197) :args (@t36)) % 21.20/21.44 (step @p59 :rule instantiate :premises (@p8) :args (@t38)) % 21.20/21.44 (step @p199 :rule refl :args (@t19)) % 21.20/21.44 (step @p200 :rule symm :premises (@p39)) % 21.20/21.44 (step @p201 :rule symm :premises (@p28)) % 21.20/21.44 (step @p202 :rule cong :premises (@p134 @p201) :args (@t78)) % 21.20/21.44 (step @p203 :rule cong :premises (@p176 @p202) :args (@t79)) % 21.20/21.44 (step @p204 :rule refl :args (@t32)) % 21.20/21.44 (step @p205 :rule cong :premises (@p21 @p204) :args (@t70)) % 21.20/21.44 (step @p206 :rule trans :premises (@p33 @p205 @p37 @p203 @p36)) % 21.20/21.44 (step @p207 :rule cong :premises (@p189 @p206) :args (@t81)) % 21.20/21.44 (step @p208 :rule symm :premises (@p29)) % 21.20/21.44 (step @p209 :rule refl :args (@t20)) % 21.20/21.44 (step @p210 :rule cong :premises (@p209 @p208) :args (@t84)) % 21.20/21.44 (step @p211 :rule trans :premises (@p210 @p38 @p207 @p200)) % 21.20/21.44 (step @p212 :rule cong :premises (@p140 @p211) :args (@t85)) % 21.20/21.44 (step @p213 :rule trans :premises (@p34 @p40 @p212)) % 21.20/21.44 (step @p214 :rule cong :premises (@p213 @p199) :args (@t110)) % 21.20/21.44 (step @p215 :rule symm :premises (@p50)) % 21.20/21.44 (step @p216 :rule cong :premises (@p199 @p201) :args (@t112)) % 21.20/21.44 (step @p217 :rule symm :premises (@p16)) % 21.20/21.44 (step @p218 :rule cong :premises (@p217 @p176) :args (@t97)) % 21.20/21.44 (step @p219 :rule symm :premises (@p46)) % 21.20/21.44 (step @p220 :rule cong :premises (@p134 @p41) :args (@t95)) % 21.20/21.44 (step @p221 :rule symm :premises (@p45)) % 21.20/21.44 (step @p222 :rule trans :premises (@p221 @p220 @p219 @p218)) % 21.20/21.44 (step @p223 :rule cong :premises (@p199 @p222) :args (@t101)) % 21.20/21.44 (step @p224 :rule trans :premises (@p48 @p223)) % 21.20/21.44 (step @p225 :rule cong :premises (@p224 @p140) :args (@t99)) % 21.20/21.44 (step @p226 :rule cong :premises (@p176 @p177) :args (@t104)) % 21.20/21.44 (step @p227 :rule cong :premises (@p140 @p226) :args (@t105)) % 21.20/21.44 (step @p228 :rule trans :premises (@p227 @p47 @p225 @p51 @p216 @p215 @p214 @p59 @p198)) % 21.20/21.44 (step @p229 :rule cong :premises (@p228 @p143) :args (@t106)) % 21.20/21.44 (step @p230 :rule cong :premises (@p140 @p229) :args (@t107)) % 21.20/21.44 (step @p231 :rule symm :premises (@p136)) % 21.20/21.44 (step @p232 :rule cong :premises (@p176 @p231) :args (@t54)) % 21.20/21.44 (step @p233 :rule trans :premises (@p21 @p232)) % 21.20/21.44 (step @p234 :rule cong :premises (@p140 @p233) :args (@t21)) % 21.20/21.44 (step @p235 :rule trans :premises (@p234 @p49 @p230 @p142 @p141 @p70)) % 21.20/21.44 (step @p236 :rule refl :args (@t24)) % 21.20/21.44 (step @p237 :rule cong :premises (@p236 @p235) :args (@t140)) % 21.20/21.44 (step @p77 :rule instantiate :premises (@p7) :args (@t45)) % 21.20/21.44 (step @p238 :rule cong :premises (@p29 @p137) :args (@t114)) % 21.20/21.44 (step @p239 :rule trans :premises (@p52 @p238 @p77 @p72 @p237 @p130)) % 21.20/21.44 (step-pop @p342 :rule scope :premises (@p239)) % 21.20/21.44 (step-pop @p343 :rule scope :premises (@p342)) % 21.20/21.44 (step-pop @p344 :rule scope :premises (@p343)) % 21.20/21.44 (step-pop @p345 :rule scope :premises (@p344)) % 21.20/21.44 (step-pop @p346 :rule scope :premises (@p345)) % 21.20/21.44 (step-pop @p347 :rule scope :premises (@p346)) % 21.20/21.44 (step-pop @p348 :rule scope :premises (@p347)) % 21.20/21.44 (step-pop @p349 :rule scope :premises (@p348)) % 21.20/21.44 (step-pop @p350 :rule scope :premises (@p349)) % 21.20/21.44 (step-pop @p351 :rule scope :premises (@p350)) % 21.20/21.44 (step-pop @p352 :rule scope :premises (@p351)) % 21.20/21.44 (step-pop @p353 :rule scope :premises (@p352)) % 21.20/21.44 (step-pop @p354 :rule scope :premises (@p353)) % 21.20/21.44 (step-pop @p355 :rule scope :premises (@p354)) % 21.20/21.44 (step-pop @p356 :rule scope :premises (@p355)) % 21.20/21.44 (step-pop @p357 :rule scope :premises (@p356)) % 21.20/21.44 (step-pop @p358 :rule scope :premises (@p357)) % 21.20/21.44 (step-pop @p359 :rule scope :premises (@p358)) % 21.20/21.44 (step-pop @p360 :rule scope :premises (@p359)) % 21.20/21.44 (step-pop @p361 :rule scope :premises (@p360)) % 21.20/21.44 (step-pop @p362 :rule scope :premises (@p361)) % 21.20/21.44 (step-pop @p363 :rule scope :premises (@p362)) % 21.20/21.44 (step-pop @p364 :rule scope :premises (@p363)) % 21.20/21.44 (step-pop @p365 :rule scope :premises (@p364)) % 21.20/21.44 (step-pop @p366 :rule scope :premises (@p365)) % 21.20/21.44 (step-pop @p367 :rule scope :premises (@p366)) % 21.20/21.44 (step-pop @p368 :rule scope :premises (@p367)) % 21.20/21.44 (step-pop @p369 :rule scope :premises (@p368)) % 21.20/21.44 (step-pop @p370 :rule scope :premises (@p369)) % 21.20/21.44 (step-pop @p371 :rule scope :premises (@p370)) % 21.20/21.44 (step-pop @p372 :rule scope :premises (@p371)) % 21.20/21.44 (step-pop @p373 :rule scope :premises (@p372)) % 21.20/21.44 (step-pop @p374 :rule scope :premises (@p373)) % 21.20/21.44 (step-pop @p375 :rule scope :premises (@p374)) % 21.20/21.44 (step-pop @p376 :rule scope :premises (@p375)) % 21.20/21.44 (step-pop @p377 :rule scope :premises (@p376)) % 21.20/21.44 (step-pop @p378 :rule scope :premises (@p377)) % 21.20/21.44 (step-pop @p379 :rule scope :premises (@p378)) % 21.20/21.44 (step-pop @p380 :rule scope :premises (@p379)) % 21.20/21.44 (step-pop @p381 :rule scope :premises (@p380)) % 21.20/21.44 (step-pop @p382 :rule scope :premises (@p381)) % 21.20/21.44 (step-pop @p383 :rule scope :premises (@p382)) % 21.20/21.44 (step-pop @p384 :rule scope :premises (@p383)) % 21.20/21.44 (step-pop @p385 :rule scope :premises (@p384)) % 21.20/21.44 (step-pop @p386 :rule scope :premises (@p385)) % 21.20/21.44 (step-pop @p387 :rule scope :premises (@p386)) % 21.20/21.44 (step @p240 :rule process_scope :premises (@p387) :args (@t25)) % 21.20/21.44 (step @p287 :rule implies_elim :premises (@p240)) % 21.20/21.44 (step @p288 :rule cnf_and_neg :args (@t143)) % 21.20/21.44 (step @p289 :rule resolution :premises (@p288 @p287) :args (true @t143)) % 21.20/21.44 (step @p290 :rule reordering :premises (@p289) :args ((or @t25 (not @t49) (not @t50) (not @t52) (not @t53) (not @t55) (not @t56) (not @t58) (not @t60) (not @t61) (not @t62) (not @t65) (not @t67) (not @t69) (not @t71) (not @t73) (not @t75) (not @t77) (not @t80) (not @t82) (not @t83) (not @t86) (not @t88) (not @t90) (not @t92) (not @t93) (not @t96) (not @t98) (not @t100) (not @t102) (not @t109) (not @t111) (not @t113) (not @t115) (not @t118) (not @t119) (not @t39) (not @t121) (not @t123) (not @t126) (not @t132) (not @t134) (not @t136) (not @t139) (not @t141) (not @t46) (not @t142)))) % 21.20/21.44 (step @p291 false :rule chain_m_resolution :premises (@p290 @p83 @p82 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p23 @p22 @p21 @p20 @p16 @p12 @p11 @p10) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t142 @t46 @t141 @t139 @t136 @t134 @t132 @t126 @t123 @t121 @t39 @t119 @t118 @t115 @t113 @t111 @t109 @t102 @t100 @t98 @t96 @t93 @t92 @t90 @t88 @t86 @t83 @t82 @t80 @t77 @t75 @t73 @t71 @t69 @t67 @t65 @t62 @t61 @t60 @t58 @t56 @t55 @t53 @t52 @t50 @t49 @t25))) % 21.20/21.44 ) % 21.20/21.44 % SZS output end Proof % 21.20/21.45 % cvc5 exiting %------------------------------------------------------------------------------