%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO010-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:09:01 AM UTC 2026 % Result : Unsatisfiable 0.34s 15.87s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO010-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.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 : Wed Jun 3 02:36:02 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/15.81 --- Run --no-e-matching --full-saturate-quant at 6... % 0.34/15.87 % SZS status Unsatisfiable % 0.34/15.87 % SZS output start Proof % 0.34/15.87 ( % 0.34/15.87 (declare-sort $$unsorted 0) % 0.34/15.87 (declare-const tptp.b $$unsorted) % 0.34/15.87 (declare-const tptp.a $$unsorted) % 0.34/15.87 (declare-const tptp.additive_identity $$unsorted) % 0.34/15.87 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.34/15.87 (declare-const tptp.multiplicative_identity $$unsorted) % 0.34/15.87 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.34/15.87 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.34/15.87 (define @t1 () (@var "X" $$unsorted)) % 0.34/15.87 (define @t2 () (@var "Y" $$unsorted)) % 0.34/15.87 (define @t3 () (tptp.add @t1 @t2)) % 0.34/15.87 (define @t4 () (@list @t1 @t2)) % 0.34/15.87 (define @t5 () (tptp.multiply @t1 @t2)) % 0.34/15.87 (define @t6 () (@var "Z" $$unsorted)) % 0.34/15.87 (define @t7 () (tptp.add @t2 @t6)) % 0.34/15.87 (define @t8 () (tptp.add @t1 @t6)) % 0.34/15.87 (define @t9 () (@list @t1 @t2 @t6)) % 0.34/15.87 (define @t10 () (forall @t9 (= (tptp.add @t5 @t6) (tptp.multiply @t8 @t7)))) % 0.34/15.87 (define @t11 () (tptp.multiply @t2 @t6)) % 0.34/15.87 (define @t12 () (forall @t9 (= (tptp.add @t1 @t11) (tptp.multiply @t3 @t8)))) % 0.34/15.87 (define @t13 () (tptp.multiply @t1 @t6)) % 0.34/15.87 (define @t14 () (forall @t9 (= (tptp.multiply @t1 @t7) (tptp.add @t5 @t13)))) % 0.34/15.87 (define @t15 () (tptp.inverse @t1)) % 0.34/15.87 (define @t16 () (@list @t1)) % 0.34/15.87 (define @t17 () (tptp.add @t15 @t1)) % 0.34/15.87 (define @t18 () (forall @t16 (= @t17 tptp.multiplicative_identity))) % 0.34/15.87 (define @t19 () (tptp.multiply @t1 @t15)) % 0.34/15.87 (define @t20 () (forall @t16 (= @t19 tptp.additive_identity))) % 0.34/15.87 (define @t21 () (tptp.multiply @t15 @t1)) % 0.34/15.87 (define @t22 () (forall @t16 (= @t21 tptp.additive_identity))) % 0.34/15.87 (define @t23 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.34/15.87 (define @t24 () (forall @t16 (= @t23 @t1))) % 0.34/15.87 (define @t25 () (tptp.add @t1 tptp.additive_identity)) % 0.34/15.87 (define @t26 () (forall @t16 (= @t25 @t1))) % 0.34/15.87 (define @t27 () (tptp.add tptp.additive_identity @t1)) % 0.34/15.87 (define @t28 () (forall @t16 (= @t27 @t1))) % 0.34/15.87 (define @t29 () (tptp.multiply tptp.a tptp.b)) % 0.34/15.87 (define @t30 () (tptp.add tptp.a @t29)) % 0.34/15.87 (define @t31 () (@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.34/15.87 (define @t32 () (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.34/15.87 (define @t33 () (tptp.add tptp.multiplicative_identity @t32)) % 0.34/15.87 (define @t34 () (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.34/15.87 (define @t35 () (tptp.multiply @t34 @t34)) % 0.34/15.87 (define @t36 () (= @t33 @t35)) % 0.34/15.87 (define @t37 () (= @t35 @t33)) % 0.34/15.87 (define @t38 () (@list false)) % 0.34/15.87 (define @t39 () (@list tptp.multiplicative_identity)) % 0.34/15.87 (define @t40 () (tptp.inverse tptp.multiplicative_identity)) % 0.34/15.87 (define @t41 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.34/15.87 (define @t42 () (tptp.add @t41 tptp.additive_identity)) % 0.34/15.87 (define @t43 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 0.34/15.87 (define @t44 () (tptp.multiply @t43 @t43)) % 0.34/15.87 (define @t45 () (= @t42 @t44)) % 0.34/15.87 (define @t46 () (@list tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 0.34/15.87 (define @t47 () (= @t44 @t42)) % 0.34/15.87 (define @t48 () (tptp.multiply tptp.additive_identity @t43)) % 0.34/15.87 (define @t49 () (tptp.add @t41 @t41)) % 0.34/15.87 (define @t50 () (= @t48 @t49)) % 0.34/15.87 (define @t51 () (= @t49 @t48)) % 0.34/15.87 (define @t52 () (tptp.inverse tptp.b)) % 0.34/15.87 (define @t53 () (tptp.multiply tptp.additive_identity tptp.b)) % 0.34/15.87 (define @t54 () (tptp.add tptp.a tptp.additive_identity)) % 0.34/15.87 (define @t55 () (tptp.multiply @t54 tptp.a)) % 0.34/15.87 (define @t56 () (tptp.multiply @t54 tptp.b)) % 0.34/15.87 (define @t57 () (tptp.add @t56 @t55)) % 0.34/15.87 (define @t58 () (tptp.add tptp.b tptp.a)) % 0.34/15.87 (define @t59 () (tptp.multiply @t54 @t58)) % 0.34/15.87 (define @t60 () (= @t59 @t57)) % 0.34/15.87 (define @t61 () (not @t60)) % 0.34/15.87 (define @t62 () (tptp.multiply tptp.b @t52)) % 0.34/15.87 (define @t63 () (tptp.multiply tptp.b tptp.additive_identity)) % 0.34/15.87 (define @t64 () (tptp.add tptp.additive_identity @t52)) % 0.34/15.87 (define @t65 () (tptp.multiply tptp.b @t64)) % 0.34/15.87 (define @t66 () (= @t65 (tptp.add @t63 @t62))) % 0.34/15.87 (define @t67 () (not @t66)) % 0.34/15.87 (define @t68 () (tptp.add tptp.a tptp.b)) % 0.34/15.87 (define @t69 () (tptp.add tptp.a @t53)) % 0.34/15.87 (define @t70 () (= @t69 (tptp.multiply @t54 @t68))) % 0.34/15.87 (define @t71 () (not @t70)) % 0.34/15.87 (define @t72 () (tptp.add @t53 tptp.additive_identity)) % 0.34/15.87 (define @t73 () (= @t53 @t72)) % 0.34/15.87 (define @t74 () (not @t73)) % 0.34/15.87 (define @t75 () (= @t52 @t64)) % 0.34/15.87 (define @t76 () (not @t75)) % 0.34/15.87 (define @t77 () (= @t30 (tptp.add @t29 tptp.a))) % 0.34/15.87 (define @t78 () (not @t77)) % 0.34/15.87 (define @t79 () (= tptp.additive_identity @t62)) % 0.34/15.87 (define @t80 () (not @t79)) % 0.34/15.87 (define @t81 () (= @t68 @t58)) % 0.34/15.87 (define @t82 () (not @t81)) % 0.34/15.87 (define @t83 () (= @t53 @t63)) % 0.34/15.87 (define @t84 () (not @t83)) % 0.34/15.87 (define @t85 () (tptp.add tptp.additive_identity tptp.a)) % 0.34/15.87 (define @t86 () (tptp.add @t41 tptp.a)) % 0.34/15.87 (define @t87 () (= @t86 (tptp.multiply @t85 @t85))) % 0.34/15.87 (define @t88 () (not @t87)) % 0.34/15.87 (define @t89 () (= tptp.a @t54)) % 0.34/15.87 (define @t90 () (not @t89)) % 0.34/15.87 (define @t91 () (tptp.multiply tptp.multiplicative_identity tptp.additive_identity)) % 0.34/15.87 (define @t92 () (tptp.add tptp.additive_identity tptp.multiplicative_identity)) % 0.34/15.87 (define @t93 () (tptp.multiply @t92 tptp.additive_identity)) % 0.34/15.87 (define @t94 () (= @t93 (tptp.add @t41 @t91))) % 0.34/15.87 (define @t95 () (not @t94)) % 0.34/15.87 (define @t96 () (= tptp.additive_identity @t43)) % 0.34/15.87 (define @t97 () (not @t96)) % 0.34/15.87 (define @t98 () (not @t51)) % 0.34/15.87 (define @t99 () (tptp.multiply @t43 tptp.additive_identity)) % 0.34/15.87 (define @t100 () (= @t99 @t49)) % 0.34/15.87 (define @t101 () (not @t100)) % 0.34/15.87 (define @t102 () (= @t85 @t54)) % 0.34/15.87 (define @t103 () (not @t102)) % 0.34/15.87 (define @t104 () (not @t47)) % 0.34/15.87 (define @t105 () (tptp.multiply @t40 tptp.multiplicative_identity)) % 0.34/15.87 (define @t106 () (= @t40 @t105)) % 0.34/15.87 (define @t107 () (not @t106)) % 0.34/15.87 (define @t108 () (tptp.add @t40 tptp.multiplicative_identity)) % 0.34/15.87 (define @t109 () (tptp.multiply tptp.multiplicative_identity @t40)) % 0.34/15.87 (define @t110 () (tptp.add @t109 tptp.multiplicative_identity)) % 0.34/15.87 (define @t111 () (= @t110 (tptp.multiply @t34 @t108))) % 0.34/15.87 (define @t112 () (not @t111)) % 0.34/15.87 (define @t113 () (tptp.add tptp.multiplicative_identity tptp.additive_identity)) % 0.34/15.87 (define @t114 () (= tptp.multiplicative_identity @t113)) % 0.34/15.87 (define @t115 () (not @t114)) % 0.34/15.87 (define @t116 () (= tptp.multiplicative_identity @t32)) % 0.34/15.87 (define @t117 () (not @t116)) % 0.34/15.87 (define @t118 () (= tptp.additive_identity @t105)) % 0.34/15.87 (define @t119 () (not @t118)) % 0.34/15.87 (define @t120 () (= tptp.additive_identity @t109)) % 0.34/15.87 (define @t121 () (not @t120)) % 0.34/15.87 (define @t122 () (= tptp.multiplicative_identity @t108)) % 0.34/15.87 (define @t123 () (not @t122)) % 0.34/15.87 (define @t124 () (tptp.multiply @t34 tptp.multiplicative_identity)) % 0.34/15.87 (define @t125 () (= @t124 (tptp.add @t32 @t32))) % 0.34/15.87 (define @t126 () (not @t125)) % 0.34/15.87 (define @t127 () (not @t37)) % 0.34/15.87 (define @t128 () (tptp.add @t32 tptp.multiplicative_identity)) % 0.34/15.87 (define @t129 () (= @t128 @t35)) % 0.34/15.87 (define @t130 () (not @t129)) % 0.34/15.87 (define @t131 () (= @t113 @t92)) % 0.34/15.87 (define @t132 () (not @t131)) % 0.34/15.87 (define @t133 () (= tptp.a @t30)) % 0.34/15.87 (define @t134 () (not @t133)) % 0.34/15.87 (define @t135 () (and @t134 @t131 @t129 @t37 @t125 @t122 @t120 @t118 @t116 @t114 @t111 @t106 @t47 @t102 @t100 @t51 @t96 @t94 @t89 @t87 @t83 @t81 @t79 @t77 @t75 @t73 @t70 @t66)) % 0.34/15.87 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.34/15.87 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.34/15.87 (assume @p3 @t10) % 0.34/15.87 (assume @p4 @t12) % 0.34/15.87 (assume @p5 (forall @t9 (= (tptp.multiply @t3 @t6) (tptp.add @t13 @t11)))) % 0.34/15.87 (assume @p6 @t14) % 0.34/15.87 (assume @p7 (forall @t16 (= (tptp.add @t1 @t15) tptp.multiplicative_identity))) % 0.34/15.87 (assume @p8 @t18) % 0.34/15.87 (assume @p9 @t20) % 0.34/15.87 (assume @p10 @t22) % 0.34/15.87 (assume @p11 @t24) % 0.34/15.87 (assume @p12 (forall @t16 (= (tptp.multiply tptp.multiplicative_identity @t1) @t1))) % 0.34/15.87 (assume @p13 @t26) % 0.34/15.87 (assume @p14 @t28) % 0.34/15.87 (assume @p15 (not (= @t30 tptp.a))) % 0.34/15.87 (step @p16 :rule symm :premises (@p15)) % 0.34/15.87 (step @p17 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity tptp.additive_identity))) % 0.34/15.87 (step @p18 :rule instantiate :premises (@p3) :args (@t31)) % 0.34/15.87 (step @p19 :rule eq-symm :args (@t33 @t35)) % 0.34/15.87 (step @p20 :rule refl :args (@t12)) % 0.34/15.87 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t12 @t36))) % 0.34/15.87 (assume-push @p246 @t12) % 0.34/15.87 (step @p23 :rule instantiate :premises (@p4) :args (@t31)) % 0.34/15.87 (step-pop @p247 :rule scope :premises (@p23)) % 0.34/15.87 (step @p24 :rule process_scope :premises (@p247) :args (@t36)) % 0.34/15.87 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.34/15.87 (step @p27 :rule implies_elim :premises (@p26)) % 0.34/15.87 (step @p28 :rule chain_m_resolution :premises (@p27 @p4) :args (@t37 @t38 (@list @t12))) % 0.34/15.87 (step @p29 :rule instantiate :premises (@p5) :args (@t31)) % 0.34/15.87 (step @p30 :rule eq-symm :args (@t17 tptp.multiplicative_identity)) % 0.34/15.87 (step @p31 :rule cong :premises (@p30) :args (@t18)) % 0.34/15.87 (step @p32 :rule eq_resolve :premises (@p8 @p31)) % 0.34/15.87 (step @p33 :rule instantiate :premises (@p32) :args (@t39)) % 0.34/15.87 (step @p34 :rule eq-symm :args (@t19 tptp.additive_identity)) % 0.34/15.87 (step @p35 :rule cong :premises (@p34) :args (@t20)) % 0.34/15.87 (step @p36 :rule eq_resolve :premises (@p9 @p35)) % 0.34/15.87 (step @p37 :rule instantiate :premises (@p36) :args (@t39)) % 0.34/15.87 (step @p38 :rule eq-symm :args (@t21 tptp.additive_identity)) % 0.34/15.87 (step @p39 :rule cong :premises (@p38) :args (@t22)) % 0.34/15.87 (step @p40 :rule eq_resolve :premises (@p10 @p39)) % 0.34/15.87 (step @p41 :rule instantiate :premises (@p40) :args (@t39)) % 0.34/15.87 (step @p42 :rule eq-symm :args (@t23 @t1)) % 0.34/15.87 (step @p43 :rule cong :premises (@p42) :args (@t24)) % 0.34/15.87 (step @p44 :rule eq_resolve :premises (@p11 @p43)) % 0.34/15.87 (step @p45 :rule instantiate :premises (@p44) :args (@t39)) % 0.34/15.87 (step @p46 :rule eq-symm :args (@t25 @t1)) % 0.34/15.87 (step @p47 :rule cong :premises (@p46) :args (@t26)) % 0.34/15.87 (step @p48 :rule eq_resolve :premises (@p13 @p47)) % 0.34/15.87 (step @p49 :rule instantiate :premises (@p48) :args (@t39)) % 0.34/15.87 (step @p50 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity @t40 tptp.multiplicative_identity))) % 0.34/15.87 (step @p51 :rule instantiate :premises (@p44) :args ((@list @t40))) % 0.34/15.87 (step @p52 :rule eq-symm :args (@t42 @t44)) % 0.34/15.87 (step @p53 :rule refl :args (@t10)) % 0.34/15.87 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t10 @t45))) % 0.34/15.87 (assume-push @p248 @t10) % 0.34/15.87 (step @p56 :rule instantiate :premises (@p3) :args (@t46)) % 0.34/15.87 (step-pop @p249 :rule scope :premises (@p56)) % 0.34/15.87 (step @p57 :rule process_scope :premises (@p249) :args (@t45)) % 0.34/15.87 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.34/15.87 (step @p60 :rule implies_elim :premises (@p59)) % 0.34/15.87 (step @p61 :rule chain_m_resolution :premises (@p60 @p3) :args (@t47 @t38 (@list @t10))) % 0.34/15.87 (step @p62 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity tptp.a))) % 0.34/15.87 (step @p63 :rule instantiate :premises (@p5) :args (@t46)) % 0.34/15.87 (step @p64 :rule eq-symm :args (@t48 @t49)) % 0.34/15.87 (step @p65 :rule refl :args (@t14)) % 0.34/15.87 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t14 @t50))) % 0.34/15.87 (assume-push @p250 @t14) % 0.34/15.87 (step @p68 :rule instantiate :premises (@p6) :args (@t46)) % 0.34/15.87 (step-pop @p251 :rule scope :premises (@p68)) % 0.34/15.87 (step @p69 :rule process_scope :premises (@p251) :args (@t50)) % 0.34/15.87 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.34/15.87 (step @p72 :rule implies_elim :premises (@p71)) % 0.34/15.87 (step @p73 :rule chain_m_resolution :premises (@p72 @p6) :args (@t51 @t38 (@list @t14))) % 0.34/15.87 (step @p74 :rule instantiate :premises (@p48) :args ((@list tptp.additive_identity))) % 0.34/15.87 (step @p75 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 0.34/15.87 (step @p76 :rule instantiate :premises (@p48) :args ((@list tptp.a))) % 0.34/15.87 (step @p77 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.a))) % 0.34/15.87 (step @p78 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.b))) % 0.34/15.87 (step @p79 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.b))) % 0.34/15.87 (step @p80 :rule instantiate :premises (@p36) :args ((@list tptp.b))) % 0.34/15.87 (step @p81 :rule instantiate :premises (@p1) :args ((@list tptp.a @t29))) % 0.34/15.87 (step @p82 :rule eq-symm :args (@t27 @t1)) % 0.34/15.87 (step @p83 :rule cong :premises (@p82) :args (@t28)) % 0.34/15.87 (step @p84 :rule eq_resolve :premises (@p14 @p83)) % 0.34/15.87 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t52))) % 0.34/15.87 (step @p86 :rule instantiate :premises (@p48) :args ((@list @t53))) % 0.34/15.87 (step @p87 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.additive_identity tptp.b))) % 0.34/15.87 (step @p88 :rule instantiate :premises (@p6) :args ((@list tptp.b tptp.additive_identity @t52))) % 0.34/15.87 (step @p89 :rule instantiate :premises (@p6) :args ((@list @t54 tptp.b tptp.a))) % 0.34/15.87 (step @p90 :rule refl :args (@t61)) % 0.34/15.87 (step @p91 :rule refl :args (@t67)) % 0.34/15.87 (step @p92 :rule refl :args (@t71)) % 0.34/15.87 (step @p93 :rule refl :args (@t74)) % 0.34/15.87 (step @p94 :rule refl :args (@t76)) % 0.34/15.87 (step @p95 :rule refl :args (@t78)) % 0.34/15.87 (step @p96 :rule refl :args (@t80)) % 0.34/15.87 (step @p97 :rule refl :args (@t82)) % 0.34/15.87 (step @p98 :rule refl :args (@t84)) % 0.34/15.87 (step @p99 :rule refl :args (@t88)) % 0.34/15.87 (step @p100 :rule refl :args (@t90)) % 0.34/15.87 (step @p101 :rule refl :args (@t95)) % 0.34/15.87 (step @p102 :rule refl :args (@t97)) % 0.34/15.87 (step @p103 :rule refl :args (@t98)) % 0.34/15.87 (step @p104 :rule refl :args (@t101)) % 0.34/15.87 (step @p105 :rule refl :args (@t103)) % 0.34/15.87 (step @p106 :rule refl :args (@t104)) % 0.34/15.87 (step @p107 :rule refl :args (@t107)) % 0.34/15.87 (step @p108 :rule refl :args (@t112)) % 0.34/15.87 (step @p109 :rule refl :args (@t115)) % 0.34/15.87 (step @p110 :rule refl :args (@t117)) % 0.34/15.87 (step @p111 :rule refl :args (@t119)) % 0.34/15.87 (step @p112 :rule refl :args (@t121)) % 0.34/15.87 (step @p113 :rule refl :args (@t123)) % 0.34/15.87 (step @p114 :rule refl :args (@t126)) % 0.34/15.87 (step @p115 :rule refl :args (@t127)) % 0.34/15.87 (step @p116 :rule refl :args (@t130)) % 0.34/15.87 (step @p117 :rule refl :args (@t132)) % 0.34/15.87 (step @p118 :rule bool-double-not-elim :args (@t133)) % 0.34/15.87 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90) :args ((or (not @t134) @t132 @t130 @t127 @t126 @t123 @t121 @t119 @t117 @t115 @t112 @t107 @t104 @t103 @t101 @t98 @t97 @t95 @t90 @t88 @t84 @t82 @t80 @t78 @t76 @t74 @t71 @t67 @t61))) % 0.34/15.87 (assume-push @p252 @t134) % 0.34/15.87 (assume-push @p253 @t131) % 0.34/15.87 (assume-push @p254 @t129) % 0.34/15.87 (assume-push @p255 @t37) % 0.34/15.87 (assume-push @p256 @t125) % 0.34/15.87 (assume-push @p257 @t122) % 0.34/15.87 (assume-push @p258 @t120) % 0.34/15.87 (assume-push @p259 @t118) % 0.34/15.87 (assume-push @p260 @t116) % 0.34/15.87 (assume-push @p261 @t114) % 0.34/15.87 (assume-push @p262 @t111) % 0.34/15.87 (assume-push @p263 @t106) % 0.34/15.87 (assume-push @p264 @t47) % 0.34/15.87 (assume-push @p265 @t102) % 0.34/15.87 (assume-push @p266 @t100) % 0.34/15.87 (assume-push @p267 @t51) % 0.34/15.87 (assume-push @p268 @t96) % 0.34/15.87 (assume-push @p269 @t94) % 0.34/15.87 (assume-push @p270 @t89) % 0.34/15.87 (assume-push @p271 @t87) % 0.34/15.87 (assume-push @p272 @t83) % 0.34/15.87 (assume-push @p273 @t81) % 0.34/15.87 (assume-push @p274 @t79) % 0.34/15.87 (assume-push @p275 @t77) % 0.34/15.87 (assume-push @p276 @t75) % 0.34/15.87 (assume-push @p277 @t73) % 0.34/15.87 (assume-push @p278 @t70) % 0.34/15.87 (assume-push @p279 @t66) % 0.34/15.87 (step @p148 :rule false_intro :premises (@p16)) % 0.34/15.87 (step @p149 :rule symm :premises (@p81)) % 0.34/15.87 (step @p150 :rule symm :premises (@p76)) % 0.34/15.87 (step @p151 :rule refl :args (tptp.a)) % 0.34/15.87 (step @p152 :rule symm :premises (@p37)) % 0.34/15.87 (step @p153 :rule symm :premises (@p51)) % 0.34/15.87 (step @p154 :rule trans :premises (@p41 @p153)) % 0.34/15.87 (step @p155 :rule refl :args (tptp.multiplicative_identity)) % 0.34/15.87 (step @p156 :rule cong :premises (@p155 @p154) :args (@t91)) % 0.34/15.87 (step @p157 :rule refl :args (tptp.additive_identity)) % 0.34/15.87 (step @p158 :rule symm :premises (@p49)) % 0.34/15.87 (step @p159 :rule symm :premises (@p17)) % 0.34/15.87 (step @p160 :rule cong :premises (@p152 @p155) :args (@t110)) % 0.34/15.87 (step @p161 :rule symm :premises (@p50)) % 0.34/15.87 (step @p162 :rule refl :args (@t34)) % 0.34/15.87 (step @p163 :rule cong :premises (@p162 @p33) :args (@t124)) % 0.34/15.87 (step @p164 :rule symm :premises (@p29)) % 0.34/15.87 (step @p165 :rule refl :args (@t32)) % 0.34/15.87 (step @p166 :rule cong :premises (@p165 @p45) :args (@t128)) % 0.34/15.87 (step @p167 :rule symm :premises (@p18)) % 0.34/15.87 (step @p23 :rule instantiate :premises (@p4) :args (@t31)) % 0.34/15.87 (step @p168 :rule cong :premises (@p155 @p45) :args (@t34)) % 0.34/15.87 (step @p169 :rule trans :premises (@p168 @p23 @p167 @p166 @p164 @p163 @p161 @p160 @p159 @p158)) % 0.34/15.87 (step @p170 :rule symm :premises (@p168)) % 0.34/15.87 (step @p171 :rule symm :premises (@p166)) % 0.34/15.87 (step @p172 :rule symm :premises (@p163)) % 0.34/15.87 (step @p173 :rule symm :premises (@p160)) % 0.34/15.87 (step @p174 :rule trans :premises (@p173 @p50 @p172 @p29 @p171 @p18 @p28 @p170)) % 0.34/15.87 (step @p175 :rule trans :premises (@p174 @p169)) % 0.34/15.87 (step @p176 :rule cong :premises (@p175 @p157) :args (@t93)) % 0.34/15.87 (step @p177 :rule symm :premises (@p75)) % 0.34/15.87 (step @p178 :rule symm :premises (@p156)) % 0.34/15.87 (step @p179 :rule trans :premises (@p37 @p178)) % 0.34/15.87 (step @p180 :rule refl :args (@t41)) % 0.34/15.87 (step @p181 :rule cong :premises (@p180 @p179) :args (@t42)) % 0.34/15.87 (step @p182 :rule refl :args (@t43)) % 0.34/15.87 (step @p183 :rule cong :premises (@p182 @p74) :args (@t99)) % 0.34/15.87 (step @p184 :rule symm :premises (@p63)) % 0.34/15.87 (step @p68 :rule instantiate :premises (@p6) :args (@t46)) % 0.34/15.87 (step @p185 :rule cong :premises (@p157 @p74) :args (@t41)) % 0.34/15.87 (step @p186 :rule trans :premises (@p185 @p68 @p184 @p183 @p61 @p181 @p177 @p176 @p156 @p152)) % 0.34/15.87 (step @p187 :rule cong :premises (@p186 @p151) :args (@t86)) % 0.34/15.87 (step @p188 :rule symm :premises (@p77)) % 0.34/15.87 (step @p189 :rule symm :premises (@p62)) % 0.34/15.87 (step @p190 :rule trans :premises (@p76 @p189)) % 0.34/15.87 (step @p191 :rule cong :premises (@p189 @p190) :args (@t55)) % 0.34/15.87 (step @p192 :rule trans :premises (@p191 @p188 @p187 @p62 @p150)) % 0.34/15.87 (step @p193 :rule refl :args (tptp.b)) % 0.34/15.87 (step @p194 :rule cong :premises (@p150 @p193) :args (@t56)) % 0.34/15.87 (step @p195 :rule cong :premises (@p194 @p192) :args (@t57)) % 0.34/15.87 (step @p196 :rule trans :premises (@p195 @p149)) % 0.34/15.87 (step @p197 :rule symm :premises (@p80)) % 0.34/15.87 (step @p198 :rule symm :premises (@p85)) % 0.34/15.87 (step @p199 :rule cong :premises (@p193 @p198) :args (@t65)) % 0.34/15.87 (step @p200 :rule symm :premises (@p88)) % 0.34/15.87 (step @p201 :rule cong :premises (@p78 @p80) :args (@t72)) % 0.34/15.87 (step @p202 :rule trans :premises (@p86 @p201 @p200 @p199 @p197)) % 0.34/15.87 (step @p203 :rule cong :premises (@p151 @p202) :args (@t69)) % 0.34/15.87 (step @p204 :rule symm :premises (@p87)) % 0.34/15.87 (step @p205 :rule symm :premises (@p79)) % 0.34/15.87 (step @p206 :rule refl :args (@t54)) % 0.34/15.87 (step @p207 :rule cong :premises (@p206 @p205) :args (@t59)) % 0.34/15.87 (step @p208 :rule trans :premises (@p207 @p204 @p203 @p150)) % 0.34/15.87 (step @p209 :rule cong :premises (@p208 @p196) :args (@t60)) % 0.34/15.87 (step @p210 :rule trans :premises (@p209 @p148)) % 0.34/15.87 (step @p211 :rule false_elim :premises (@p210)) % 0.34/15.87 (step-pop @p280 :rule scope :premises (@p211)) % 0.34/15.87 (step-pop @p281 :rule scope :premises (@p280)) % 0.34/15.87 (step-pop @p282 :rule scope :premises (@p281)) % 0.34/15.87 (step-pop @p283 :rule scope :premises (@p282)) % 0.34/15.87 (step-pop @p284 :rule scope :premises (@p283)) % 0.34/15.87 (step-pop @p285 :rule scope :premises (@p284)) % 0.34/15.87 (step-pop @p286 :rule scope :premises (@p285)) % 0.34/15.87 (step-pop @p287 :rule scope :premises (@p286)) % 0.34/15.87 (step-pop @p288 :rule scope :premises (@p287)) % 0.34/15.87 (step-pop @p289 :rule scope :premises (@p288)) % 0.34/15.87 (step-pop @p290 :rule scope :premises (@p289)) % 0.34/15.87 (step-pop @p291 :rule scope :premises (@p290)) % 0.34/15.87 (step-pop @p292 :rule scope :premises (@p291)) % 0.34/15.87 (step-pop @p293 :rule scope :premises (@p292)) % 0.34/15.87 (step-pop @p294 :rule scope :premises (@p293)) % 0.34/15.87 (step-pop @p295 :rule scope :premises (@p294)) % 0.34/15.87 (step-pop @p296 :rule scope :premises (@p295)) % 0.34/15.87 (step-pop @p297 :rule scope :premises (@p296)) % 0.34/15.87 (step-pop @p298 :rule scope :premises (@p297)) % 0.34/15.87 (step-pop @p299 :rule scope :premises (@p298)) % 0.34/15.87 (step-pop @p300 :rule scope :premises (@p299)) % 0.34/15.87 (step-pop @p301 :rule scope :premises (@p300)) % 0.34/15.87 (step-pop @p302 :rule scope :premises (@p301)) % 0.34/15.87 (step-pop @p303 :rule scope :premises (@p302)) % 0.34/15.87 (step-pop @p304 :rule scope :premises (@p303)) % 0.34/15.87 (step-pop @p305 :rule scope :premises (@p304)) % 0.34/15.87 (step-pop @p306 :rule scope :premises (@p305)) % 0.34/15.87 (step-pop @p307 :rule scope :premises (@p306)) % 0.34/15.87 (step @p212 :rule process_scope :premises (@p307) :args (@t61)) % 0.34/15.87 (step @p241 :rule implies_elim :premises (@p212)) % 0.34/15.87 (step @p242 :rule cnf_and_neg :args (@t135)) % 0.34/15.87 (step @p243 :rule resolution :premises (@p242 @p241) :args (true @t135)) % 0.34/15.87 (step @p244 :rule eq_resolve :premises (@p243 @p119)) % 0.34/15.87 (step @p245 false :rule chain_m_resolution :premises (@p244 @p89 @p88 @p87 @p86 @p85 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p63 @p62 @p61 @p51 @p50 @p49 @p45 @p41 @p37 @p33 @p29 @p28 @p18 @p17 @p16) :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 true) (@list @t60 @t66 @t70 @t73 @t75 @t77 @t79 @t81 @t83 @t87 @t89 @t94 @t96 @t51 @t100 @t102 @t47 @t106 @t111 @t114 @t116 @t118 @t120 @t122 @t125 @t37 @t129 @t131 @t133))) % 0.34/15.87 ) % 0.34/15.87 % SZS output end Proof % 0.34/15.87 % cvc5 exiting %------------------------------------------------------------------------------