%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HWV003-1 : 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 : n027.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 08:23:01 AM UTC 2026 % Result : Unsatisfiable 65.41s 65.67s % Output : Proof 65.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : HWV003-1 : TPTP v9.2.1. Released v1.1.0. % 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 : n027.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 02:17:51 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.72/16.02 --- Run --no-e-matching --full-saturate-quant at 6... % 21.84/22.04 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.85/28.06 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.91/34.14 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.00/64.25 --- Run --trigger-sel=max --full-saturate-quant at 15... % 65.41/65.67 % SZS status Unsatisfiable % 65.41/65.67 % SZS output start Proof % 65.41/65.67 ( % 65.41/65.67 (declare-sort $$unsorted 0) % 65.41/65.67 (declare-const tptp.circuit (-> $$unsorted $$unsorted Bool)) % 65.41/65.67 (declare-const tptp.a17 $$unsorted) % 65.41/65.67 (declare-const tptp.a16 $$unsorted) % 65.41/65.67 (declare-const tptp.a15 $$unsorted) % 65.41/65.67 (declare-const tptp.carryin $$unsorted) % 65.41/65.67 (declare-const tptp.a14 $$unsorted) % 65.41/65.67 (declare-const tptp.n0 $$unsorted) % 65.41/65.67 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 65.41/65.67 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 65.41/65.67 (declare-const tptp.c1 $$unsorted) % 65.41/65.67 (declare-const tptp.a12 $$unsorted) % 65.41/65.67 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 65.41/65.67 (declare-const tptp.a13 $$unsorted) % 65.41/65.67 (declare-const tptp.carryout (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.41/65.67 (declare-const tptp.a $$unsorted) % 65.41/65.67 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 65.41/65.67 (declare-const tptp.n1 $$unsorted) % 65.41/65.67 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.41/65.67 (declare-const tptp.b $$unsorted) % 65.41/65.67 (declare-const tptp.s1 $$unsorted) % 65.41/65.67 (declare-const tptp.a11 $$unsorted) % 65.41/65.67 (define @t1 () (@var "X" $$unsorted)) % 65.41/65.67 (define @t2 () (@list @t1)) % 65.41/65.67 (define @t3 () (tptp.or @t1 tptp.n0)) % 65.41/65.67 (define @t4 () (forall @t2 (= @t3 @t1))) % 65.41/65.67 (define @t5 () (@var "Y" $$unsorted)) % 65.41/65.67 (define @t6 () (tptp.not @t5)) % 65.41/65.67 (define @t7 () (tptp.not @t1)) % 65.41/65.67 (define @t8 () (tptp.and @t1 @t5)) % 65.41/65.67 (define @t9 () (@list @t1 @t5)) % 65.41/65.67 (define @t10 () (tptp.and @t7 @t6)) % 65.41/65.67 (define @t11 () (tptp.or @t1 @t5)) % 65.41/65.67 (define @t12 () (forall @t9 (= (tptp.not @t11) @t10))) % 65.41/65.67 (define @t13 () (tptp.not @t7)) % 65.41/65.67 (define @t14 () (forall @t2 (= @t13 @t1))) % 65.41/65.67 (define @t15 () (@var "Z" $$unsorted)) % 65.41/65.67 (define @t16 () (tptp.and @t5 @t15)) % 65.41/65.67 (define @t17 () (tptp.and @t1 @t15)) % 65.41/65.67 (define @t18 () (@list @t1 @t5 @t15)) % 65.41/65.67 (define @t19 () (tptp.or @t1 @t15)) % 65.41/65.67 (define @t20 () (tptp.and @t1 @t7)) % 65.41/65.67 (define @t21 () (forall @t2 (= @t20 tptp.n0))) % 65.41/65.67 (define @t22 () (tptp.and @t8 @t5)) % 65.41/65.67 (define @t23 () (forall @t9 (= @t22 @t8))) % 65.41/65.67 (define @t24 () (@var "X1" $$unsorted)) % 65.41/65.67 (define @t25 () (@var "X3" $$unsorted)) % 65.41/65.67 (define @t26 () (@var "X2" $$unsorted)) % 65.41/65.67 (define @t27 () (tptp.and (tptp.and @t24 @t26) @t25)) % 65.41/65.67 (define @t28 () (@list @t24 @t26 @t25)) % 65.41/65.67 (define @t29 () (tptp.and @t1 @t6)) % 65.41/65.67 (define @t30 () (tptp.or @t29 @t5)) % 65.41/65.67 (define @t31 () (forall @t9 (= @t30 @t11))) % 65.41/65.67 (define @t32 () (tptp.xor @t1 @t5)) % 65.41/65.67 (define @t33 () (tptp.and tptp.a tptp.b)) % 65.41/65.67 (define @t34 () (tptp.not @t33)) % 65.41/65.67 (define @t35 () (tptp.and tptp.a11 tptp.a)) % 65.41/65.67 (define @t36 () (tptp.not @t35)) % 65.41/65.67 (define @t37 () (= tptp.a12 @t36)) % 65.41/65.67 (define @t38 () (tptp.and tptp.a11 tptp.b)) % 65.41/65.67 (define @t39 () (tptp.not @t38)) % 65.41/65.67 (define @t40 () (= tptp.a13 @t39)) % 65.41/65.67 (define @t41 () (tptp.and tptp.a12 tptp.a13)) % 65.41/65.67 (define @t42 () (tptp.not @t41)) % 65.41/65.67 (define @t43 () (= tptp.a14 @t42)) % 65.41/65.67 (define @t44 () (tptp.and tptp.a14 tptp.carryin)) % 65.41/65.67 (define @t45 () (tptp.not @t44)) % 65.41/65.67 (define @t46 () (= tptp.a15 @t45)) % 65.41/65.67 (define @t47 () (tptp.and tptp.a14 tptp.a15)) % 65.41/65.67 (define @t48 () (tptp.not @t47)) % 65.41/65.67 (define @t49 () (= tptp.a16 @t48)) % 65.41/65.67 (define @t50 () (tptp.and tptp.a15 tptp.carryin)) % 65.41/65.67 (define @t51 () (tptp.not @t50)) % 65.41/65.67 (define @t52 () (= tptp.a17 @t51)) % 65.41/65.67 (define @t53 () (tptp.and tptp.a16 tptp.a17)) % 65.41/65.67 (define @t54 () (tptp.not @t53)) % 65.41/65.67 (define @t55 () (= tptp.s1 @t54)) % 65.41/65.67 (define @t56 () (tptp.and tptp.a11 tptp.a15)) % 65.41/65.67 (define @t57 () (tptp.not @t56)) % 65.41/65.67 (define @t58 () (= tptp.c1 @t57)) % 65.41/65.67 (define @t59 () (tptp.circuit tptp.s1 tptp.c1)) % 65.41/65.67 (define @t60 () (tptp.circuit (tptp.sum tptp.a tptp.b tptp.carryin) (tptp.carryout tptp.a tptp.b tptp.carryin))) % 65.41/65.67 (define @t61 () (tptp.and @t34 tptp.b)) % 65.41/65.67 (define @t62 () (tptp.not @t61)) % 65.41/65.67 (define @t63 () (tptp.and @t34 tptp.a)) % 65.41/65.67 (define @t64 () (tptp.not @t63)) % 65.41/65.67 (define @t65 () (tptp.and @t64 @t62)) % 65.41/65.67 (define @t66 () (tptp.not @t65)) % 65.41/65.67 (define @t67 () (tptp.and @t66 tptp.carryin)) % 65.41/65.67 (define @t68 () (tptp.not @t67)) % 65.41/65.67 (define @t69 () (tptp.not @t34)) % 65.41/65.67 (define @t70 () (tptp.not @t62)) % 65.41/65.67 (define @t71 () (tptp.not @t64)) % 65.41/65.67 (define @t72 () (tptp.and @t70 tptp.carryin)) % 65.41/65.67 (define @t73 () (tptp.and @t71 tptp.carryin)) % 65.41/65.67 (define @t74 () (@list tptp.a tptp.b)) % 65.41/65.67 (define @t75 () (tptp.not tptp.a)) % 65.41/65.67 (define @t76 () (tptp.not @t75)) % 65.41/65.67 (define @t77 () (tptp.and @t69 tptp.a)) % 65.41/65.67 (define @t78 () (tptp.and @t34 tptp.carryin)) % 65.41/65.67 (define @t79 () (@list tptp.carryin @t33)) % 65.41/65.67 (define @t80 () (tptp.or @t69 tptp.carryin)) % 65.41/65.67 (define @t81 () (tptp.and tptp.carryin tptp.a)) % 65.41/65.67 (define @t82 () (tptp.or tptp.b tptp.carryin)) % 65.41/65.67 (define @t83 () (tptp.not tptp.b)) % 65.41/65.67 (define @t84 () (tptp.or @t75 @t83)) % 65.41/65.67 (define @t85 () (tptp.and @t75 tptp.b)) % 65.41/65.67 (define @t86 () (tptp.and tptp.b @t75)) % 65.41/65.67 (define @t87 () (tptp.and tptp.b tptp.carryin)) % 65.41/65.67 (define @t88 () (tptp.and tptp.a @t82)) % 65.41/65.67 (define @t89 () (tptp.and @t75 @t87)) % 65.41/65.67 (define @t90 () (@list tptp.a tptp.b tptp.carryin)) % 65.41/65.67 (define @t91 () (tptp.and @t68 tptp.carryin)) % 65.41/65.67 (define @t92 () (tptp.and @t66 @t68)) % 65.41/65.67 (define @t93 () (tptp.or @t92 @t91)) % 65.41/65.67 (define @t94 () (tptp.not tptp.carryin)) % 65.41/65.67 (define @t95 () (tptp.not @t66)) % 65.41/65.67 (define @t96 () (tptp.or @t95 @t94)) % 65.41/65.67 (define @t97 () (tptp.not (tptp.not @t91))) % 65.41/65.67 (define @t98 () (tptp.and @t94 @t66)) % 65.41/65.67 (define @t99 () (tptp.and @t95 @t66)) % 65.41/65.67 (define @t100 () (tptp.or @t63 @t61)) % 65.41/65.67 (define @t101 () (tptp.not @t100)) % 65.41/65.67 (define @t102 () (tptp.and @t83 tptp.a)) % 65.41/65.67 (define @t103 () (tptp.and @t75 tptp.a)) % 65.41/65.67 (define @t104 () (= @t101 @t65)) % 65.41/65.67 (define @t105 () (tptp.and @t83 tptp.b)) % 65.41/65.67 (define @t106 () (tptp.and tptp.a @t83)) % 65.41/65.67 (define @t107 () (tptp.xor tptp.a tptp.b)) % 65.41/65.67 (define @t108 () (tptp.not @t94)) % 65.41/65.67 (define @t109 () (tptp.and @t95 tptp.carryin)) % 65.41/65.67 (define @t110 () (tptp.and @t94 tptp.carryin)) % 65.41/65.67 (define @t111 () (tptp.not @t107)) % 65.41/65.67 (define @t112 () (tptp.and tptp.carryin @t111)) % 65.41/65.67 (define @t113 () (tptp.and @t107 @t94)) % 65.41/65.67 (assume @p1 (forall @t2 (= (tptp.and @t1 tptp.n0) tptp.n0))) % 65.41/65.67 (assume @p2 (forall @t2 (= (tptp.and @t1 tptp.n1) @t1))) % 65.41/65.67 (assume @p3 @t4) % 65.41/65.67 (assume @p4 (forall @t2 (= (tptp.or @t1 tptp.n1) tptp.n1))) % 65.41/65.67 (assume @p5 (= (tptp.not tptp.n0) tptp.n1)) % 65.41/65.67 (assume @p6 (= (tptp.not tptp.n1) tptp.n0)) % 65.41/65.67 (assume @p7 (forall @t9 (= (tptp.not @t8) (tptp.or @t7 @t6)))) % 65.41/65.67 (assume @p8 @t12) % 65.41/65.67 (assume @p9 @t14) % 65.41/65.67 (assume @p10 (forall @t9 (= @t8 (tptp.and @t5 @t1)))) % 65.41/65.67 (assume @p11 (forall @t9 (= @t11 (tptp.or @t5 @t1)))) % 65.41/65.67 (assume @p12 (forall @t18 (= (tptp.and @t11 @t15) (tptp.or @t17 @t16)))) % 65.41/65.67 (assume @p13 (forall @t18 (= (tptp.and @t8 @t15) (tptp.and @t17 @t5)))) % 65.41/65.67 (assume @p14 (forall @t18 (= (tptp.or @t11 @t15) (tptp.or @t19 @t5)))) % 65.41/65.67 (assume @p15 @t21) % 65.41/65.67 (assume @p16 (forall @t2 (= (tptp.or @t1 @t7) tptp.n1))) % 65.41/65.67 (assume @p17 (forall @t2 (= (tptp.and @t1 @t1) @t1))) % 65.41/65.67 (assume @p18 (forall @t2 (= (tptp.or @t1 @t1) @t1))) % 65.41/65.67 (assume @p19 (forall @t9 (= (tptp.and @t8 @t6) tptp.n0))) % 65.41/65.67 (assume @p20 (forall @t9 (= (tptp.and @t8 @t7) tptp.n0))) % 65.41/65.67 (assume @p21 (forall @t9 (= (tptp.or @t11 @t6) tptp.n1))) % 65.41/65.67 (assume @p22 (forall @t9 (= (tptp.or @t11 @t7) tptp.n1))) % 65.41/65.67 (assume @p23 @t23) % 65.41/65.67 (assume @p24 (forall @t9 (= (tptp.or @t11 @t5) @t11))) % 65.41/65.67 (assume @p25 (forall @t28 (= (tptp.and @t27 (tptp.not @t24)) tptp.n0))) % 65.41/65.67 (assume @p26 (forall @t28 (= (tptp.and @t27 (tptp.not @t26)) tptp.n0))) % 65.41/65.67 (assume @p27 (forall @t9 (= (tptp.or @t8 @t5) @t5))) % 65.41/65.67 (assume @p28 (forall @t9 (= (tptp.or @t8 @t1) @t1))) % 65.41/65.67 (assume @p29 (forall @t18 (= (tptp.or (tptp.or @t8 @t15) @t5) (tptp.or @t15 @t5)))) % 65.41/65.67 (assume @p30 (forall @t18 (= (tptp.or (tptp.or @t1 @t16) @t15) @t19))) % 65.41/65.67 (assume @p31 @t31) % 65.41/65.67 (assume @p32 (forall @t9 (= (tptp.or @t10 @t5) (tptp.or @t5 @t7)))) % 65.41/65.67 (assume @p33 (forall @t18 (= (tptp.or (tptp.and @t8 (tptp.not @t15)) @t17) (tptp.or @t8 @t17)))) % 65.41/65.67 (assume @p34 (forall @t9 (= @t32 (tptp.or @t29 (tptp.and @t5 @t7))))) % 65.41/65.67 (assume @p35 (forall @t18 (= (tptp.carryout @t1 @t5 @t15) (tptp.or (tptp.and @t1 (tptp.or @t5 @t15)) (tptp.and @t7 @t16))))) % 65.41/65.67 (assume @p36 (forall @t18 (= (tptp.sum @t1 @t5 @t15) (tptp.xor @t32 @t15)))) % 65.41/65.67 (assume @p37 (= tptp.a11 @t34)) % 65.41/65.67 (assume @p38 @t37) % 65.41/65.67 (assume @p39 @t40) % 65.41/65.67 (assume @p40 @t43) % 65.41/65.67 (assume @p41 @t46) % 65.41/65.67 (assume @p42 @t49) % 65.41/65.67 (assume @p43 @t52) % 65.41/65.67 (assume @p44 @t55) % 65.41/65.67 (assume @p45 @t58) % 65.41/65.67 (assume @p46 @t59) % 65.41/65.67 (assume @p47 (not @t60)) % 65.41/65.67 (step @p48 :rule evaluate :args ((= false true))) % 65.41/65.67 (step @p49 :rule refl :args (tptp.carryin)) % 65.41/65.67 (step @p50 :rule refl :args (tptp.b)) % 65.41/65.67 (step @p51 :rule cong :premises (@p37 @p50) :args (@t38)) % 65.41/65.67 (step @p52 :rule cong :premises (@p51) :args (@t39)) % 65.41/65.67 (step @p53 :rule refl :args (tptp.a13)) % 65.41/65.67 (step @p54 :rule cong :premises (@p53 @p52) :args (@t40)) % 65.41/65.67 (step @p55 :rule eq_resolve :premises (@p39 @p54)) % 65.41/65.67 (step @p56 :rule refl :args (tptp.a)) % 65.41/65.67 (step @p57 :rule cong :premises (@p37 @p56) :args (@t35)) % 65.41/65.67 (step @p58 :rule cong :premises (@p57) :args (@t36)) % 65.41/65.67 (step @p59 :rule refl :args (tptp.a12)) % 65.41/65.67 (step @p60 :rule cong :premises (@p59 @p58) :args (@t37)) % 65.41/65.67 (step @p61 :rule eq_resolve :premises (@p38 @p60)) % 65.41/65.67 (step @p62 :rule cong :premises (@p61 @p55) :args (@t41)) % 65.41/65.67 (step @p63 :rule cong :premises (@p62) :args (@t42)) % 65.41/65.67 (step @p64 :rule refl :args (tptp.a14)) % 65.41/65.67 (step @p65 :rule cong :premises (@p64 @p63) :args (@t43)) % 65.41/65.67 (step @p66 :rule eq_resolve :premises (@p40 @p65)) % 65.41/65.67 (step @p67 :rule cong :premises (@p66 @p49) :args (@t44)) % 65.41/65.67 (step @p68 :rule cong :premises (@p67) :args (@t45)) % 65.41/65.67 (step @p69 :rule refl :args (tptp.a15)) % 65.41/65.67 (step @p70 :rule cong :premises (@p69 @p68) :args (@t46)) % 65.41/65.67 (step @p71 :rule eq_resolve :premises (@p41 @p70)) % 65.41/65.67 (step @p72 :rule cong :premises (@p37 @p71) :args (@t56)) % 65.41/65.67 (step @p73 :rule cong :premises (@p72) :args (@t57)) % 65.41/65.67 (step @p74 :rule refl :args (tptp.c1)) % 65.41/65.67 (step @p75 :rule cong :premises (@p74 @p73) :args (@t58)) % 65.41/65.67 (step @p76 :rule eq_resolve :premises (@p45 @p75)) % 65.41/65.67 (step @p77 :rule cong :premises (@p71 @p49) :args (@t50)) % 65.41/65.67 (step @p78 :rule cong :premises (@p77) :args (@t51)) % 65.41/65.67 (step @p79 :rule refl :args (tptp.a17)) % 65.41/65.67 (step @p80 :rule cong :premises (@p79 @p78) :args (@t52)) % 65.41/65.67 (step @p81 :rule eq_resolve :premises (@p43 @p80)) % 65.41/65.67 (step @p82 :rule cong :premises (@p66 @p71) :args (@t47)) % 65.41/65.67 (step @p83 :rule cong :premises (@p82) :args (@t48)) % 65.41/65.67 (step @p84 :rule refl :args (tptp.a16)) % 65.41/65.67 (step @p85 :rule cong :premises (@p84 @p83) :args (@t49)) % 65.41/65.67 (step @p86 :rule eq_resolve :premises (@p42 @p85)) % 65.41/65.67 (step @p87 :rule cong :premises (@p86 @p81) :args (@t53)) % 65.41/65.67 (step @p88 :rule cong :premises (@p87) :args (@t54)) % 65.41/65.67 (step @p89 :rule refl :args (tptp.s1)) % 65.41/65.67 (step @p90 :rule cong :premises (@p89 @p88) :args (@t55)) % 65.41/65.67 (step @p91 :rule eq_resolve :premises (@p44 @p90)) % 65.41/65.67 (step @p92 :rule cong :premises (@p91 @p76) :args (@t59)) % 65.41/65.67 (step @p93 :rule eq_resolve :premises (@p46 @p92)) % 65.41/65.67 (step @p94 :rule true_intro :premises (@p93)) % 65.41/65.67 (step @p95 :rule instantiate :premises (@p10) :args ((@list @t34 @t68))) % 65.41/65.67 (step @p96 :rule symm :premises (@p95)) % 65.41/65.67 (step @p97 :rule cong :premises (@p96) :args ((tptp.not (tptp.and @t68 @t34)))) % 65.41/65.67 (step @p98 :rule instantiate :premises (@p7) :args ((@list @t68 @t34))) % 65.41/65.67 (step @p99 :rule symm :premises (@p98)) % 65.41/65.67 (step @p100 :rule refl :args (@t69)) % 65.41/65.67 (step @p101 :rule eq-symm :args (@t13 @t1)) % 65.41/65.67 (step @p102 :rule cong :premises (@p101) :args (@t14)) % 65.41/65.67 (step @p103 :rule eq_resolve :premises (@p9 @p102)) % 65.41/65.67 (step @p104 :rule instantiate :premises (@p103) :args ((@list @t67))) % 65.41/65.67 (step @p105 :rule instantiate :premises (@p7) :args ((@list @t64 @t62))) % 65.41/65.67 (step @p106 :rule symm :premises (@p105)) % 65.41/65.67 (step @p107 :rule cong :premises (@p106 @p49) :args ((tptp.and (tptp.or @t71 @t70) tptp.carryin))) % 65.41/65.67 (step @p108 :rule instantiate :premises (@p12) :args ((@list @t71 @t70 tptp.carryin))) % 65.41/65.67 (step @p109 :rule symm :premises (@p108)) % 65.41/65.67 (step @p110 :rule trans :premises (@p109 @p107 @p104)) % 65.41/65.67 (step @p111 :rule cong :premises (@p110 @p100) :args ((tptp.or (tptp.or @t73 @t72) @t69))) % 65.41/65.67 (step @p112 :rule instantiate :premises (@p14) :args ((@list @t73 @t72 @t69))) % 65.41/65.67 (step @p113 :rule symm :premises (@p112)) % 65.41/65.67 (step @p114 :rule instantiate :premises (@p11) :args ((@list (tptp.or @t73 @t69) @t72))) % 65.41/65.67 (step @p115 :rule symm :premises (@p114)) % 65.41/65.67 (step @p116 :rule instantiate :premises (@p103) :args ((@list @t33))) % 65.41/65.67 (step @p117 :rule instantiate :premises (@p10) :args (@t74)) % 65.41/65.67 (step @p118 :rule symm :premises (@p117)) % 65.41/65.67 (step @p119 :rule eq-symm :args (@t22 @t8)) % 65.41/65.67 (step @p120 :rule cong :premises (@p119) :args (@t23)) % 65.41/65.67 (step @p121 :rule eq_resolve :premises (@p23 @p120)) % 65.41/65.67 (step @p122 :rule instantiate :premises (@p121) :args ((@list tptp.b tptp.a))) % 65.41/65.67 (step @p123 :rule symm :premises (@p122)) % 65.41/65.67 (step @p124 :rule instantiate :premises (@p103) :args ((@list tptp.a))) % 65.41/65.67 (step @p125 :rule symm :premises (@p124)) % 65.41/65.67 (step @p126 :rule symm :premises (@p116)) % 65.41/65.67 (step @p127 :rule trans :premises (@p126 @p117)) % 65.41/65.67 (step @p128 :rule cong :premises (@p127 @p125) :args ((tptp.and @t69 @t76))) % 65.41/65.67 (step @p129 :rule cong :premises (@p100 @p124) :args (@t77)) % 65.41/65.67 (step @p130 :rule trans :premises (@p129 @p128 @p123 @p118 @p116)) % 65.41/65.67 (step @p131 :rule instantiate :premises (@p103) :args ((@list @t63))) % 65.41/65.67 (step @p132 :rule cong :premises (@p131 @p49) :args ((tptp.and @t63 tptp.carryin))) % 65.41/65.67 (step @p133 :rule instantiate :premises (@p13) :args ((@list @t34 tptp.a tptp.carryin))) % 65.41/65.67 (step @p134 :rule symm :premises (@p133)) % 65.41/65.67 (step @p135 :rule trans :premises (@p134 @p132)) % 65.41/65.67 (step @p136 :rule cong :premises (@p135 @p130) :args ((tptp.or (tptp.and @t78 tptp.a) @t77))) % 65.41/65.67 (step @p137 :rule instantiate :premises (@p12) :args ((@list @t78 @t69 tptp.a))) % 65.41/65.67 (step @p138 :rule instantiate :premises (@p10) :args ((@list @t34 tptp.carryin))) % 65.41/65.67 (step @p139 :rule symm :premises (@p138)) % 65.41/65.67 (step @p140 :rule cong :premises (@p139 @p116) :args ((tptp.or (tptp.and tptp.carryin @t34) @t33))) % 65.41/65.67 (step @p141 :rule eq-symm :args (@t30 @t11)) % 65.41/65.67 (step @p142 :rule cong :premises (@p141) :args (@t31)) % 65.41/65.67 (step @p143 :rule eq_resolve :premises (@p31 @p142)) % 65.41/65.67 (step @p144 :rule instantiate :premises (@p143) :args (@t79)) % 65.41/65.67 (step @p145 :rule trans :premises (@p144 @p140)) % 65.41/65.67 (step @p146 :rule instantiate :premises (@p11) :args (@t79)) % 65.41/65.67 (step @p147 :rule symm :premises (@p146)) % 65.41/65.67 (step @p148 :rule cong :premises (@p126 @p49) :args (@t80)) % 65.41/65.67 (step @p149 :rule trans :premises (@p148 @p147)) % 65.41/65.67 (step @p150 :rule trans :premises (@p149 @p145)) % 65.41/65.67 (step @p151 :rule cong :premises (@p150 @p125) :args ((tptp.and @t80 @t76))) % 65.41/65.67 (step @p152 :rule instantiate :premises (@p12) :args ((@list @t69 tptp.carryin @t76))) % 65.41/65.67 (step @p153 :rule symm :premises (@p152)) % 65.41/65.67 (step @p154 :rule cong :premises (@p49 @p124) :args (@t81)) % 65.41/65.67 (step @p155 :rule symm :premises (@p128)) % 65.41/65.67 (step @p156 :rule trans :premises (@p117 @p122 @p155)) % 65.41/65.67 (step @p157 :rule trans :premises (@p118 @p156)) % 65.41/65.67 (step @p158 :rule cong :premises (@p157 @p154) :args ((tptp.or (tptp.and tptp.b tptp.a) @t81))) % 65.41/65.67 (step @p159 :rule instantiate :premises (@p12) :args ((@list tptp.b tptp.carryin tptp.a))) % 65.41/65.67 (step @p160 :rule instantiate :premises (@p10) :args ((@list tptp.a @t82))) % 65.41/65.67 (step @p161 :rule trans :premises (@p160 @p159 @p158 @p153 @p151 @p137 @p136)) % 65.41/65.67 (step @p162 :rule instantiate :premises (@p103) :args ((@list @t61))) % 65.41/65.67 (step @p163 :rule instantiate :premises (@p7) :args (@t74)) % 65.41/65.67 (step @p164 :rule symm :premises (@p163)) % 65.41/65.67 (step @p165 :rule cong :premises (@p164 @p50) :args ((tptp.and @t84 tptp.b))) % 65.41/65.67 (step @p166 :rule instantiate :premises (@p12) :args ((@list @t75 @t83 tptp.b))) % 65.41/65.67 (step @p167 :rule symm :premises (@p166)) % 65.41/65.67 (step @p168 :rule instantiate :premises (@p103) :args ((@list tptp.b))) % 65.41/65.67 (step @p169 :rule symm :premises (@p168)) % 65.41/65.67 (step @p170 :rule refl :args (@t83)) % 65.41/65.67 (step @p171 :rule cong :premises (@p170 @p169) :args ((tptp.and @t83 (tptp.not @t83)))) % 65.41/65.67 (step @p172 :rule eq-symm :args (@t20 tptp.n0)) % 65.41/65.67 (step @p173 :rule cong :premises (@p172) :args (@t21)) % 65.41/65.67 (step @p174 :rule eq_resolve :premises (@p15 @p173)) % 65.41/65.67 (step @p175 :rule instantiate :premises (@p174) :args ((@list @t83))) % 65.41/65.67 (step @p176 :rule trans :premises (@p175 @p171)) % 65.41/65.67 (step @p177 :rule refl :args (@t85)) % 65.41/65.67 (step @p178 :rule cong :premises (@p177 @p176) :args ((tptp.or @t85 tptp.n0))) % 65.41/65.67 (step @p179 :rule eq-symm :args (@t3 @t1)) % 65.41/65.67 (step @p180 :rule cong :premises (@p179) :args (@t4)) % 65.41/65.67 (step @p181 :rule eq_resolve :premises (@p3 @p180)) % 65.41/65.67 (step @p182 :rule instantiate :premises (@p181) :args ((@list @t85))) % 65.41/65.67 (step @p183 :rule instantiate :premises (@p10) :args ((@list @t75 tptp.b))) % 65.41/65.67 (step @p184 :rule symm :premises (@p183)) % 65.41/65.67 (step @p185 :rule trans :premises (@p184 @p182 @p178 @p167 @p165 @p162)) % 65.41/65.67 (step @p186 :rule cong :premises (@p185 @p49) :args ((tptp.and @t86 tptp.carryin))) % 65.41/65.67 (step @p187 :rule instantiate :premises (@p13) :args ((@list tptp.b tptp.carryin @t75))) % 65.41/65.67 (step @p188 :rule instantiate :premises (@p10) :args ((@list @t75 @t87))) % 65.41/65.67 (step @p189 :rule trans :premises (@p188 @p187 @p186)) % 65.41/65.67 (step @p190 :rule cong :premises (@p189 @p161) :args ((tptp.or @t89 @t88))) % 65.41/65.67 (step @p191 :rule instantiate :premises (@p11) :args ((@list @t88 @t89))) % 65.41/65.67 (step @p192 :rule instantiate :premises (@p35) :args (@t90)) % 65.41/65.67 (step @p193 :rule trans :premises (@p192 @p191 @p190 @p115 @p113 @p111 @p99 @p97)) % 65.41/65.67 (step @p194 :rule instantiate :premises (@p8) :args ((@list @t92 @t91))) % 65.41/65.67 (step @p195 :rule cong :premises (@p194) :args ((tptp.not (tptp.not @t93)))) % 65.41/65.67 (step @p196 :rule instantiate :premises (@p103) :args ((@list @t93))) % 65.41/65.67 (step @p197 :rule instantiate :premises (@p103) :args ((@list @t91))) % 65.41/65.67 (step @p198 :rule symm :premises (@p197)) % 65.41/65.67 (step @p199 :rule instantiate :premises (@p10) :args ((@list @t66 @t68))) % 65.41/65.67 (step @p200 :rule symm :premises (@p199)) % 65.41/65.67 (step @p201 :rule refl :args (@t66)) % 65.41/65.67 (step @p202 :rule instantiate :premises (@p7) :args ((@list @t66 tptp.carryin))) % 65.41/65.67 (step @p203 :rule symm :premises (@p202)) % 65.41/65.67 (step @p204 :rule cong :premises (@p203 @p201) :args ((tptp.and @t96 @t66))) % 65.41/65.67 (step @p205 :rule instantiate :premises (@p12) :args ((@list @t95 @t94 @t66))) % 65.41/65.67 (step @p206 :rule symm :premises (@p205)) % 65.41/65.67 (step @p207 :rule trans :premises (@p206 @p204 @p200)) % 65.41/65.67 (step @p208 :rule cong :premises (@p207 @p198) :args ((tptp.or (tptp.or @t99 @t98) @t97))) % 65.41/65.67 (step @p209 :rule instantiate :premises (@p14) :args ((@list @t99 @t98 @t97))) % 65.41/65.67 (step @p210 :rule symm :premises (@p209)) % 65.41/65.67 (step @p211 :rule instantiate :premises (@p8) :args ((@list @t63 @t61))) % 65.41/65.67 (step @p212 :rule cong :premises (@p211) :args ((tptp.not @t101))) % 65.41/65.67 (step @p213 :rule instantiate :premises (@p103) :args ((@list @t100))) % 65.41/65.67 (step @p214 :rule symm :premises (@p162)) % 65.41/65.67 (step @p215 :rule cong :premises (@p164 @p56) :args ((tptp.and @t84 tptp.a))) % 65.41/65.67 (step @p216 :rule instantiate :premises (@p12) :args ((@list @t75 @t83 tptp.a))) % 65.41/65.67 (step @p217 :rule symm :premises (@p216)) % 65.41/65.67 (step @p218 :rule trans :premises (@p217 @p215)) % 65.41/65.67 (step @p219 :rule cong :premises (@p218 @p214) :args ((tptp.or (tptp.or @t103 @t102) @t70))) % 65.41/65.67 (step @p220 :rule instantiate :premises (@p14) :args ((@list @t103 @t102 @t70))) % 65.41/65.67 (step @p221 :rule symm :premises (@p220)) % 65.41/65.67 (step @p222 :rule instantiate :premises (@p10) :args ((@list @t83 tptp.a))) % 65.41/65.67 (step @p223 :rule symm :premises (@p222)) % 65.41/65.67 (step @p224 :rule trans :premises (@p182 @p178 @p167 @p165 @p162)) % 65.41/65.67 (step @p225 :rule refl :args (@t75)) % 65.41/65.67 (step @p226 :rule cong :premises (@p225 @p125) :args ((tptp.and @t75 @t76))) % 65.41/65.67 (step @p227 :rule instantiate :premises (@p174) :args ((@list @t75))) % 65.41/65.67 (step @p228 :rule instantiate :premises (@p174) :args ((@list @t95))) % 65.41/65.67 (step @p229 :rule symm :premises (@p228)) % 65.41/65.67 (step @p230 :rule trans :premises (@p213 @p212)) % 65.41/65.67 (step @p231 :rule cong :premises (@p230) :args (@t101)) % 65.41/65.67 (step @p232 :rule eq-symm :args (@t101 @t65)) % 65.41/65.67 (step @p233 :rule refl :args (@t12)) % 65.41/65.67 (step @p234 :rule cong :premises (@p233 @p232) :args ((=> @t12 @t104))) % 65.41/65.67 (assume-push @p301 @t12) % 65.41/65.67 (step-pop @p302 :rule scope :premises (@p211)) % 65.41/65.67 (step @p236 :rule process_scope :premises (@p302) :args (@t104)) % 65.41/65.67 (step @p238 :rule eq_resolve :premises (@p236 @p234)) % 65.41/65.67 (step @p239 :rule implies_elim :premises (@p238)) % 65.41/65.67 (step @p240 :rule chain_m_resolution :premises (@p239 @p8) :args ((= @t65 @t101) (@list false) (@list @t12))) % 65.41/65.67 (step @p241 :rule trans :premises (@p240 @p231)) % 65.41/65.67 (step @p242 :rule cong :premises (@p241) :args (@t66)) % 65.41/65.67 (step @p243 :rule refl :args (@t95)) % 65.41/65.67 (step @p244 :rule cong :premises (@p243 @p242) :args (@t99)) % 65.41/65.67 (step @p245 :rule trans :premises (@p244 @p229 @p227 @p226)) % 65.41/65.67 (step @p246 :rule symm :premises (@p244)) % 65.41/65.67 (step @p247 :rule symm :premises (@p175)) % 65.41/65.67 (step @p248 :rule symm :premises (@p171)) % 65.41/65.67 (step @p249 :rule trans :premises (@p248 @p247 @p228 @p246)) % 65.41/65.67 (step @p250 :rule trans :premises (@p249 @p245)) % 65.41/65.67 (step @p251 :rule cong :premises (@p250 @p224) :args ((tptp.or @t105 @t85))) % 65.41/65.67 (step @p252 :rule instantiate :premises (@p11) :args ((@list @t85 @t105))) % 65.41/65.67 (step @p253 :rule symm :premises (@p165)) % 65.41/65.67 (step @p254 :rule trans :premises (@p214 @p253 @p166 @p252 @p251)) % 65.41/65.67 (step @p255 :rule trans :premises (@p185 @p254)) % 65.41/65.67 (step @p256 :rule cong :premises (@p255 @p223) :args ((tptp.or @t86 @t106))) % 65.41/65.67 (step @p257 :rule instantiate :premises (@p11) :args ((@list @t106 @t86))) % 65.41/65.67 (step @p258 :rule instantiate :premises (@p34) :args (@t74)) % 65.41/65.67 (step @p259 :rule trans :premises (@p258 @p257 @p256 @p221 @p219 @p213 @p212)) % 65.41/65.67 (step @p260 :rule refl :args (@t94)) % 65.41/65.67 (step @p261 :rule cong :premises (@p260 @p259) :args ((tptp.and @t94 @t107))) % 65.41/65.67 (step @p262 :rule instantiate :premises (@p10) :args ((@list @t107 @t94))) % 65.41/65.67 (step @p263 :rule trans :premises (@p262 @p261)) % 65.41/65.67 (step @p264 :rule cong :premises (@p203 @p49) :args ((tptp.and @t96 tptp.carryin))) % 65.41/65.67 (step @p265 :rule instantiate :premises (@p12) :args ((@list @t95 @t94 tptp.carryin))) % 65.41/65.67 (step @p266 :rule symm :premises (@p265)) % 65.41/65.67 (step @p267 :rule instantiate :premises (@p103) :args ((@list tptp.carryin))) % 65.41/65.67 (step @p268 :rule symm :premises (@p267)) % 65.41/65.67 (step @p269 :rule cong :premises (@p260 @p268) :args ((tptp.and @t94 @t108))) % 65.41/65.67 (step @p270 :rule instantiate :premises (@p174) :args ((@list @t94))) % 65.41/65.67 (step @p271 :rule trans :premises (@p270 @p269)) % 65.41/65.67 (step @p272 :rule refl :args (@t109)) % 65.41/65.67 (step @p273 :rule cong :premises (@p272 @p271) :args ((tptp.or @t109 tptp.n0))) % 65.41/65.67 (step @p274 :rule instantiate :premises (@p181) :args ((@list @t109))) % 65.41/65.67 (step @p275 :rule trans :premises (@p274 @p273 @p266 @p264 @p197)) % 65.41/65.67 (step @p276 :rule symm :premises (@p270)) % 65.41/65.67 (step @p277 :rule symm :premises (@p269)) % 65.41/65.67 (step @p278 :rule trans :premises (@p277 @p276 @p228 @p246)) % 65.41/65.67 (step @p279 :rule cong :premises (@p278 @p275) :args ((tptp.or @t110 @t109))) % 65.41/65.67 (step @p280 :rule instantiate :premises (@p11) :args ((@list @t109 @t110))) % 65.41/65.67 (step @p281 :rule symm :premises (@p264)) % 65.41/65.67 (step @p282 :rule trans :premises (@p198 @p281 @p265 @p280 @p279)) % 65.41/65.67 (step @p283 :rule instantiate :premises (@p10) :args ((@list @t95 tptp.carryin))) % 65.41/65.67 (step @p284 :rule symm :premises (@p283)) % 65.41/65.67 (step @p285 :rule cong :premises (@p259) :args (@t111)) % 65.41/65.67 (step @p286 :rule cong :premises (@p268 @p285) :args ((tptp.and @t108 @t111))) % 65.41/65.67 (step @p287 :rule refl :args (@t111)) % 65.41/65.67 (step @p288 :rule cong :premises (@p267 @p287) :args (@t112)) % 65.41/65.67 (step @p289 :rule trans :premises (@p288 @p286 @p284 @p274 @p273 @p266 @p264 @p197)) % 65.41/65.67 (step @p290 :rule trans :premises (@p289 @p282)) % 65.41/65.67 (step @p291 :rule cong :premises (@p290 @p263) :args ((tptp.or @t112 @t113))) % 65.41/65.67 (step @p292 :rule instantiate :premises (@p11) :args ((@list @t113 @t112))) % 65.41/65.67 (step @p293 :rule instantiate :premises (@p34) :args ((@list @t107 tptp.carryin))) % 65.41/65.67 (step @p294 :rule instantiate :premises (@p36) :args (@t90)) % 65.41/65.67 (step @p295 :rule trans :premises (@p294 @p293 @p292 @p291 @p210 @p208 @p196 @p195)) % 65.41/65.67 (step @p296 :rule cong :premises (@p295 @p193) :args (@t60)) % 65.41/65.67 (step @p297 :rule false_intro :premises (@p47)) % 65.41/65.67 (step @p298 :rule symm :premises (@p297)) % 65.41/65.67 (step @p299 :rule trans :premises (@p298 @p296 @p94)) % 65.41/65.67 (step @p300 false :rule eq_resolve :premises (@p299 @p48)) % 65.41/65.67 ) % 65.41/65.68 % SZS output end Proof % 65.41/65.68 % cvc5 exiting %------------------------------------------------------------------------------