%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO005-4 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:09:00 AM UTC 2026 % Result : Unsatisfiable 0.60s 0.82s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO005-4 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:34:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.60/0.82 % SZS status Unsatisfiable % 0.60/0.82 % SZS output start Proof % 0.60/0.83 ( % 0.60/0.83 (declare-sort $$unsorted 0) % 0.60/0.83 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.60/0.83 (declare-const tptp.a $$unsorted) % 0.60/0.83 (declare-const tptp.multiplicative_identity $$unsorted) % 0.60/0.83 (declare-const tptp.additive_identity $$unsorted) % 0.60/0.83 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.60/0.83 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.60/0.83 (define @t1 () (@var "X" $$unsorted)) % 0.60/0.83 (define @t2 () (@var "Y" $$unsorted)) % 0.60/0.83 (define @t3 () (tptp.add @t1 @t2)) % 0.60/0.83 (define @t4 () (@list @t1 @t2)) % 0.60/0.83 (define @t5 () (tptp.multiply @t1 @t2)) % 0.60/0.83 (define @t6 () (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.60/0.83 (define @t7 () (@var "Z" $$unsorted)) % 0.60/0.83 (define @t8 () (@list @t1 @t2 @t7)) % 0.60/0.83 (define @t9 () (tptp.add @t1 tptp.additive_identity)) % 0.60/0.83 (define @t10 () (@list @t1)) % 0.60/0.83 (define @t11 () (forall @t10 (= @t9 @t1))) % 0.60/0.83 (define @t12 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.60/0.83 (define @t13 () (forall @t10 (= @t12 @t1))) % 0.60/0.83 (define @t14 () (tptp.inverse @t1)) % 0.60/0.83 (define @t15 () (tptp.add @t1 @t14)) % 0.60/0.83 (define @t16 () (forall @t10 (= @t15 tptp.multiplicative_identity))) % 0.60/0.83 (define @t17 () (tptp.multiply @t1 @t14)) % 0.60/0.83 (define @t18 () (forall @t10 (= @t17 tptp.additive_identity))) % 0.60/0.83 (define @t19 () (tptp.add tptp.a tptp.multiplicative_identity)) % 0.60/0.83 (define @t20 () (@list tptp.additive_identity)) % 0.60/0.83 (define @t21 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.60/0.83 (define @t22 () (tptp.inverse tptp.additive_identity)) % 0.60/0.83 (define @t23 () (tptp.add @t22 @t22)) % 0.60/0.83 (define @t24 () (tptp.add tptp.multiplicative_identity tptp.additive_identity)) % 0.60/0.83 (define @t25 () (tptp.add tptp.multiplicative_identity @t22)) % 0.60/0.83 (define @t26 () (tptp.multiply @t24 tptp.multiplicative_identity)) % 0.60/0.83 (define @t27 () (tptp.add tptp.a @t24)) % 0.60/0.83 (define @t28 () (tptp.multiply @t27 tptp.a)) % 0.60/0.83 (define @t29 () (tptp.multiply @t27 tptp.multiplicative_identity)) % 0.60/0.83 (define @t30 () (tptp.multiply tptp.additive_identity tptp.a)) % 0.60/0.83 (define @t31 () (tptp.multiply tptp.a tptp.additive_identity)) % 0.60/0.83 (define @t32 () (= @t30 @t31)) % 0.60/0.83 (define @t33 () (= @t31 @t30)) % 0.60/0.83 (define @t34 () (tptp.add @t28 @t25)) % 0.60/0.83 (define @t35 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 0.60/0.83 (define @t36 () (tptp.multiply tptp.a tptp.multiplicative_identity)) % 0.60/0.83 (define @t37 () (tptp.multiply @t27 @t25)) % 0.60/0.83 (define @t38 () (tptp.inverse @t37)) % 0.60/0.83 (define @t39 () (tptp.multiply @t27 @t38)) % 0.60/0.83 (define @t40 () (tptp.add @t37 @t39)) % 0.60/0.83 (define @t41 () (tptp.add @t25 @t38)) % 0.60/0.83 (define @t42 () (tptp.multiply @t27 @t41)) % 0.60/0.83 (define @t43 () (= @t42 @t40)) % 0.60/0.83 (define @t44 () (not @t43)) % 0.60/0.83 (define @t45 () (tptp.multiply @t37 @t38)) % 0.60/0.83 (define @t46 () (tptp.add tptp.multiplicative_identity @t45)) % 0.60/0.83 (define @t47 () (= @t46 (tptp.multiply (tptp.add tptp.multiplicative_identity @t37) (tptp.add tptp.multiplicative_identity @t38)))) % 0.60/0.83 (define @t48 () (not @t47)) % 0.60/0.83 (define @t49 () (= tptp.additive_identity @t45)) % 0.60/0.83 (define @t50 () (not @t49)) % 0.60/0.83 (define @t51 () (tptp.add @t36 tptp.additive_identity)) % 0.60/0.83 (define @t52 () (= @t36 @t51)) % 0.60/0.83 (define @t53 () (not @t52)) % 0.60/0.83 (define @t54 () (tptp.multiply tptp.additive_identity @t35)) % 0.60/0.83 (define @t55 () (tptp.add @t30 @t54)) % 0.60/0.83 (define @t56 () (= (tptp.multiply tptp.additive_identity (tptp.add tptp.a @t35)) @t55)) % 0.60/0.83 (define @t57 () (not @t56)) % 0.60/0.83 (define @t58 () (= @t29 (tptp.add @t29 tptp.additive_identity))) % 0.60/0.83 (define @t59 () (not @t58)) % 0.60/0.83 (define @t60 () (tptp.multiply tptp.additive_identity @t19)) % 0.60/0.83 (define @t61 () (= @t60 (tptp.add @t30 (tptp.multiply tptp.additive_identity tptp.multiplicative_identity)))) % 0.60/0.83 (define @t62 () (not @t61)) % 0.60/0.83 (define @t63 () (tptp.add tptp.multiplicative_identity @t34)) % 0.60/0.83 (define @t64 () (tptp.multiply @t24 @t63)) % 0.60/0.83 (define @t65 () (= (tptp.add tptp.multiplicative_identity (tptp.multiply tptp.additive_identity @t34)) @t64)) % 0.60/0.83 (define @t66 () (not @t65)) % 0.60/0.83 (define @t67 () (not @t33)) % 0.60/0.83 (define @t68 () (tptp.multiply @t25 @t25)) % 0.60/0.83 (define @t69 () (tptp.multiply @t25 @t27)) % 0.60/0.83 (define @t70 () (tptp.add @t69 @t68)) % 0.60/0.83 (define @t71 () (= (tptp.multiply @t25 (tptp.add @t27 @t25)) @t70)) % 0.60/0.83 (define @t72 () (not @t71)) % 0.60/0.83 (define @t73 () (tptp.add tptp.multiplicative_identity tptp.a)) % 0.60/0.83 (define @t74 () (tptp.add tptp.multiplicative_identity @t31)) % 0.60/0.83 (define @t75 () (= @t74 (tptp.multiply @t73 @t24))) % 0.60/0.83 (define @t76 () (not @t75)) % 0.60/0.83 (define @t77 () (tptp.add @t25 tptp.a)) % 0.60/0.83 (define @t78 () (tptp.add @t25 @t27)) % 0.60/0.83 (define @t79 () (tptp.multiply @t78 @t77)) % 0.60/0.83 (define @t80 () (tptp.add @t25 @t28)) % 0.60/0.83 (define @t81 () (= @t80 @t79)) % 0.60/0.83 (define @t82 () (not @t81)) % 0.60/0.83 (define @t83 () (tptp.add @t25 @t29)) % 0.60/0.83 (define @t84 () (tptp.add @t29 @t25)) % 0.60/0.83 (define @t85 () (= @t84 @t83)) % 0.60/0.83 (define @t86 () (not @t85)) % 0.60/0.83 (define @t87 () (= tptp.a @t36)) % 0.60/0.83 (define @t88 () (not @t87)) % 0.60/0.83 (define @t89 () (tptp.add @t29 @t69)) % 0.60/0.83 (define @t90 () (= @t89 (tptp.multiply @t84 (tptp.add @t29 @t27)))) % 0.60/0.83 (define @t91 () (not @t90)) % 0.60/0.83 (define @t92 () (= @t34 @t80)) % 0.60/0.83 (define @t93 () (not @t92)) % 0.60/0.83 (define @t94 () (= @t27 @t29)) % 0.60/0.83 (define @t95 () (not @t94)) % 0.60/0.83 (define @t96 () (tptp.add @t29 (tptp.multiply @t27 @t22))) % 0.60/0.83 (define @t97 () (= @t37 @t96)) % 0.60/0.83 (define @t98 () (not @t97)) % 0.60/0.83 (define @t99 () (= @t37 @t69)) % 0.60/0.83 (define @t100 () (not @t99)) % 0.60/0.83 (define @t101 () (tptp.multiply @t24 (tptp.add tptp.multiplicative_identity @t23))) % 0.60/0.83 (define @t102 () (= @t101 (tptp.add @t26 (tptp.multiply @t24 @t23)))) % 0.60/0.83 (define @t103 () (not @t102)) % 0.60/0.83 (define @t104 () (tptp.add @t26 @t22)) % 0.60/0.83 (define @t105 () (tptp.add @t26 @t24)) % 0.60/0.83 (define @t106 () (tptp.multiply @t105 @t104)) % 0.60/0.83 (define @t107 () (tptp.add @t26 (tptp.multiply @t24 @t22))) % 0.60/0.83 (define @t108 () (= @t107 @t106)) % 0.60/0.83 (define @t109 () (not @t108)) % 0.60/0.83 (define @t110 () (tptp.add tptp.a @t25)) % 0.60/0.83 (define @t111 () (= @t110 @t77)) % 0.60/0.83 (define @t112 () (not @t111)) % 0.60/0.83 (define @t113 () (tptp.add @t22 tptp.additive_identity)) % 0.60/0.83 (define @t114 () (= @t22 @t113)) % 0.60/0.83 (define @t115 () (not @t114)) % 0.60/0.83 (define @t116 () (tptp.multiply @t24 @t25)) % 0.60/0.83 (define @t117 () (= @t116 @t107)) % 0.60/0.83 (define @t118 () (not @t117)) % 0.60/0.83 (define @t119 () (tptp.multiply tptp.additive_identity @t23)) % 0.60/0.83 (define @t120 () (tptp.add tptp.multiplicative_identity @t119)) % 0.60/0.83 (define @t121 () (= @t120 @t101)) % 0.60/0.83 (define @t122 () (not @t121)) % 0.60/0.83 (define @t123 () (tptp.add @t22 tptp.multiplicative_identity)) % 0.60/0.83 (define @t124 () (= @t25 @t123)) % 0.60/0.83 (define @t125 () (not @t124)) % 0.60/0.83 (define @t126 () (= tptp.multiplicative_identity @t24)) % 0.60/0.83 (define @t127 () (not @t126)) % 0.60/0.83 (define @t128 () (tptp.multiply tptp.additive_identity @t22)) % 0.60/0.83 (define @t129 () (tptp.add @t128 @t128)) % 0.60/0.83 (define @t130 () (= @t119 @t129)) % 0.60/0.83 (define @t131 () (not @t130)) % 0.60/0.83 (define @t132 () (tptp.add tptp.additive_identity @t22)) % 0.60/0.83 (define @t133 () (tptp.multiply tptp.additive_identity @t132)) % 0.60/0.83 (define @t134 () (= @t133 (tptp.add @t21 @t128))) % 0.60/0.83 (define @t135 () (not @t134)) % 0.60/0.83 (define @t136 () (= (tptp.add tptp.multiplicative_identity @t128) @t116)) % 0.60/0.83 (define @t137 () (not @t136)) % 0.60/0.83 (define @t138 () (= @t132 @t113)) % 0.60/0.83 (define @t139 () (not @t138)) % 0.60/0.83 (define @t140 () (tptp.add @t21 tptp.additive_identity)) % 0.60/0.83 (define @t141 () (tptp.add tptp.additive_identity @t21)) % 0.60/0.83 (define @t142 () (= @t141 @t140)) % 0.60/0.83 (define @t143 () (not @t142)) % 0.60/0.83 (define @t144 () (= tptp.additive_identity @t128)) % 0.60/0.83 (define @t145 () (not @t144)) % 0.60/0.83 (define @t146 () (= tptp.multiplicative_identity @t132)) % 0.60/0.83 (define @t147 () (not @t146)) % 0.60/0.83 (define @t148 () (= tptp.additive_identity @t35)) % 0.60/0.83 (define @t149 () (not @t148)) % 0.60/0.83 (define @t150 () (= @t141 (tptp.multiply @t35 @t35))) % 0.60/0.83 (define @t151 () (not @t150)) % 0.60/0.83 (define @t152 () (= @t19 @t73)) % 0.60/0.83 (define @t153 () (not @t152)) % 0.60/0.83 (define @t154 () (= tptp.multiplicative_identity @t19)) % 0.60/0.83 (define @t155 () (not @t154)) % 0.60/0.83 (define @t156 () (tptp.add @t28 @t24)) % 0.60/0.83 (define @t157 () (and @t155 @t152 @t150 @t148 @t146 @t144 @t142 @t138 @t136 @t134 @t130 @t126 @t124 @t121 @t117 @t114 @t111 @t108 @t102 @t99 @t97 @t94 @t92 @t90 @t87 @t85 @t81 @t75 @t71 @t33 @t65 @t61 @t58 @t56 @t52 @t49 @t47)) % 0.60/0.83 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.60/0.83 (assume @p2 @t6) % 0.60/0.83 (assume @p3 (forall @t8 (= (tptp.add @t1 (tptp.multiply @t2 @t7)) (tptp.multiply @t3 (tptp.add @t1 @t7))))) % 0.60/0.83 (assume @p4 (forall @t8 (= (tptp.multiply @t1 (tptp.add @t2 @t7)) (tptp.add @t5 (tptp.multiply @t1 @t7))))) % 0.60/0.83 (assume @p5 @t11) % 0.60/0.83 (assume @p6 @t13) % 0.60/0.83 (assume @p7 @t16) % 0.60/0.83 (assume @p8 @t18) % 0.60/0.83 (assume @p9 (not (= @t19 tptp.multiplicative_identity))) % 0.60/0.83 (step @p10 :rule symm :premises (@p9)) % 0.60/0.83 (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.multiplicative_identity))) % 0.60/0.83 (step @p12 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity))) % 0.60/0.83 (step @p13 :rule eq-symm :args (@t9 @t1)) % 0.60/0.83 (step @p14 :rule cong :premises (@p13) :args (@t11)) % 0.60/0.83 (step @p15 :rule eq_resolve :premises (@p5 @p14)) % 0.60/0.83 (step @p16 :rule instantiate :premises (@p15) :args (@t20)) % 0.60/0.83 (step @p17 :rule eq-symm :args (@t15 tptp.multiplicative_identity)) % 0.60/0.83 (step @p18 :rule cong :premises (@p17) :args (@t16)) % 0.60/0.83 (step @p19 :rule eq_resolve :premises (@p7 @p18)) % 0.60/0.83 (step @p20 :rule instantiate :premises (@p19) :args (@t20)) % 0.60/0.83 (step @p21 :rule eq-symm :args (@t17 tptp.additive_identity)) % 0.60/0.83 (step @p22 :rule cong :premises (@p21) :args (@t18)) % 0.60/0.83 (step @p23 :rule eq_resolve :premises (@p8 @p22)) % 0.60/0.83 (step @p24 :rule instantiate :premises (@p23) :args (@t20)) % 0.60/0.83 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity @t21))) % 0.60/0.83 (step @p26 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity @t22))) % 0.60/0.83 (step @p27 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.additive_identity @t22))) % 0.60/0.83 (step @p28 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.additive_identity @t22))) % 0.60/0.83 (step @p29 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity @t22 @t22))) % 0.60/0.83 (step @p30 :rule instantiate :premises (@p15) :args ((@list tptp.multiplicative_identity))) % 0.60/0.83 (step @p31 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity @t22))) % 0.60/0.83 (step @p32 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.additive_identity @t23))) % 0.60/0.83 (step @p33 :rule instantiate :premises (@p4) :args ((@list @t24 tptp.multiplicative_identity @t22))) % 0.60/0.83 (step @p34 :rule instantiate :premises (@p15) :args ((@list @t22))) % 0.60/0.83 (step @p35 :rule instantiate :premises (@p1) :args ((@list tptp.a @t25))) % 0.60/0.83 (step @p36 :rule instantiate :premises (@p3) :args ((@list @t26 @t24 @t22))) % 0.60/0.83 (step @p37 :rule instantiate :premises (@p4) :args ((@list @t24 tptp.multiplicative_identity @t23))) % 0.60/0.83 (step @p38 :rule instantiate :premises (@p2) :args ((@list @t27 @t25))) % 0.60/0.83 (step @p39 :rule instantiate :premises (@p4) :args ((@list @t27 tptp.multiplicative_identity @t22))) % 0.60/0.83 (step @p40 :rule eq-symm :args (@t12 @t1)) % 0.60/0.83 (step @p41 :rule cong :premises (@p40) :args (@t13)) % 0.60/0.83 (step @p42 :rule eq_resolve :premises (@p6 @p41)) % 0.60/0.83 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t27))) % 0.60/0.83 (step @p44 :rule instantiate :premises (@p1) :args ((@list @t28 @t25))) % 0.60/0.83 (step @p45 :rule instantiate :premises (@p3) :args ((@list @t29 @t25 @t27))) % 0.60/0.83 (step @p46 :rule instantiate :premises (@p42) :args ((@list tptp.a))) % 0.60/0.83 (step @p47 :rule instantiate :premises (@p1) :args ((@list @t29 @t25))) % 0.60/0.83 (step @p48 :rule instantiate :premises (@p3) :args ((@list @t25 @t27 tptp.a))) % 0.60/0.83 (step @p49 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.a tptp.additive_identity))) % 0.60/0.83 (step @p50 :rule instantiate :premises (@p4) :args ((@list @t25 @t27 @t25))) % 0.60/0.83 (step @p51 :rule eq-symm :args (@t30 @t31)) % 0.60/0.83 (step @p52 :rule refl :args (@t6)) % 0.60/0.83 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t6 @t32))) % 0.60/0.83 (assume-push @p318 @t6) % 0.60/0.83 (step @p55 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.a))) % 0.60/0.83 (step-pop @p319 :rule scope :premises (@p55)) % 0.60/0.83 (step @p56 :rule process_scope :premises (@p319) :args (@t32)) % 0.60/0.83 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.60/0.83 (step @p59 :rule implies_elim :premises (@p58)) % 0.60/0.83 (step @p60 :rule chain_m_resolution :premises (@p59 @p2) :args (@t33 (@list false) (@list @t6))) % 0.60/0.83 (step @p61 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.additive_identity @t34))) % 0.60/0.83 (step @p62 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.a tptp.multiplicative_identity))) % 0.60/0.83 (step @p63 :rule instantiate :premises (@p15) :args ((@list @t29))) % 0.60/0.83 (step @p64 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.a @t35))) % 0.60/0.83 (step @p65 :rule instantiate :premises (@p15) :args ((@list @t36))) % 0.60/0.83 (step @p66 :rule instantiate :premises (@p23) :args ((@list @t37))) % 0.60/0.83 (step @p67 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity @t37 @t38))) % 0.60/0.83 (step @p68 :rule instantiate :premises (@p4) :args ((@list @t27 @t25 @t38))) % 0.60/0.83 (step @p69 :rule refl :args (@t44)) % 0.60/0.83 (step @p70 :rule refl :args (@t48)) % 0.60/0.83 (step @p71 :rule refl :args (@t50)) % 0.60/0.83 (step @p72 :rule refl :args (@t53)) % 0.60/0.83 (step @p73 :rule refl :args (@t57)) % 0.60/0.83 (step @p74 :rule refl :args (@t59)) % 0.60/0.83 (step @p75 :rule refl :args (@t62)) % 0.60/0.83 (step @p76 :rule refl :args (@t66)) % 0.60/0.83 (step @p77 :rule refl :args (@t67)) % 0.60/0.83 (step @p78 :rule refl :args (@t72)) % 0.60/0.83 (step @p79 :rule refl :args (@t76)) % 0.60/0.83 (step @p80 :rule refl :args (@t82)) % 0.60/0.83 (step @p81 :rule refl :args (@t86)) % 0.60/0.83 (step @p82 :rule refl :args (@t88)) % 0.60/0.83 (step @p83 :rule refl :args (@t91)) % 0.60/0.83 (step @p84 :rule refl :args (@t93)) % 0.60/0.83 (step @p85 :rule refl :args (@t95)) % 0.60/0.83 (step @p86 :rule refl :args (@t98)) % 0.60/0.83 (step @p87 :rule refl :args (@t100)) % 0.60/0.83 (step @p88 :rule refl :args (@t103)) % 0.60/0.83 (step 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@p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69) :args ((or (not @t155) @t153 @t151 @t149 @t147 @t145 @t143 @t139 @t137 @t135 @t131 @t127 @t125 @t122 @t118 @t115 @t112 @t109 @t103 @t100 @t98 @t95 @t93 @t91 @t88 @t86 @t82 @t76 @t72 @t67 @t66 @t62 @t59 @t57 @t53 @t50 @t48 @t44))) % 0.60/0.83 (assume-push @p320 @t155) % 0.60/0.83 (assume-push @p321 @t152) % 0.60/0.83 (assume-push @p322 @t150) % 0.60/0.83 (assume-push @p323 @t148) % 0.60/0.83 (assume-push @p324 @t146) % 0.60/0.83 (assume-push @p325 @t144) % 0.60/0.83 (assume-push @p326 @t142) % 0.60/0.83 (assume-push @p327 @t138) % 0.60/0.83 (assume-push @p328 @t136) % 0.60/0.83 (assume-push @p329 @t134) % 0.60/0.83 (assume-push @p330 @t130) % 0.60/0.83 (assume-push @p331 @t126) % 0.60/0.83 (assume-push @p332 @t124) % 0.60/0.83 (assume-push @p333 @t121) % 0.60/0.83 (assume-push @p334 @t117) % 0.60/0.83 (assume-push @p335 @t114) % 0.60/0.83 (assume-push @p336 @t111) % 0.60/0.83 (assume-push @p337 @t108) % 0.60/0.83 (assume-push @p338 @t102) % 0.60/0.83 (assume-push @p339 @t99) % 0.60/0.83 (assume-push @p340 @t97) % 0.60/0.83 (assume-push @p341 @t94) % 0.60/0.83 (assume-push @p342 @t92) % 0.60/0.83 (assume-push @p343 @t90) % 0.60/0.83 (assume-push @p344 @t87) % 0.60/0.83 (assume-push @p345 @t85) % 0.60/0.83 (assume-push @p346 @t81) % 0.60/0.83 (assume-push @p347 @t75) % 0.60/0.83 (assume-push @p348 @t71) % 0.60/0.83 (assume-push @p349 @t33) % 0.60/0.83 (assume-push @p350 @t65) % 0.60/0.83 (assume-push @p351 @t61) % 0.60/0.83 (assume-push @p352 @t58) % 0.60/0.83 (assume-push @p353 @t56) % 0.60/0.83 (assume-push @p354 @t52) % 0.60/0.83 (assume-push @p355 @t49) % 0.60/0.83 (assume-push @p356 @t47) % 0.60/0.83 (step @p145 :rule false_intro :premises (@p10)) % 0.60/0.83 (step @p146 :rule refl :args (tptp.a)) % 0.60/0.83 (step @p147 :rule cong :premises (@p146 @p30) :args (@t19)) % 0.60/0.83 (step @p148 :rule symm :premises (@p147)) % 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@p39 @p223)) % 0.60/0.83 (step @p227 :rule cong :premises (@p211 @p43) :args (@t78)) % 0.60/0.83 (step @p228 :rule trans :premises (@p227 @p213)) % 0.60/0.83 (step @p229 :rule cong :premises (@p228 @p226) :args (@t79)) % 0.60/0.83 (step @p230 :rule symm :premises (@p205)) % 0.60/0.83 (step @p231 :rule refl :args (@t28)) % 0.60/0.83 (step @p232 :rule cong :premises (@p231 @p230) :args (@t156)) % 0.60/0.83 (step @p233 :rule trans :premises (@p232 @p44 @p48 @p229 @p220 @p219 @p214 @p190)) % 0.60/0.83 (step @p234 :rule cong :premises (@p211 @p233) :args ((tptp.add @t25 @t156))) % 0.60/0.83 (step @p235 :rule symm :premises (@p232)) % 0.60/0.83 (step @p236 :rule cong :premises (@p211 @p235) :args ((tptp.add @t25 @t34))) % 0.60/0.83 (step @p237 :rule refl :args (@t34)) % 0.60/0.83 (step @p238 :rule cong :premises (@p184 @p237) :args (@t63)) % 0.60/0.83 (step @p239 :rule trans :premises (@p238 @p236 @p234 @p213 @p212)) % 0.60/0.83 (step @p240 :rule cong :premises (@p230 @p239) :args (@t64)) % 0.60/0.83 (step @p241 :rule symm :premises (@p44)) % 0.60/0.83 (step @p242 :rule symm :premises (@p48)) % 0.60/0.83 (step @p243 :rule symm :premises (@p229)) % 0.60/0.83 (step @p244 :rule symm :premises (@p219)) % 0.60/0.83 (step @p245 :rule trans :premises (@p43 @p186 @p39 @p244 @p45 @p243 @p242 @p241)) % 0.60/0.83 (step @p246 :rule refl :args (tptp.additive_identity)) % 0.60/0.83 (step @p247 :rule cong :premises (@p246 @p245) :args ((tptp.multiply tptp.additive_identity @t27))) % 0.60/0.83 (step @p248 :rule cong :premises (@p246 @p147) :args (@t60)) % 0.60/0.83 (step @p249 :rule symm :premises (@p62)) % 0.60/0.83 (step @p250 :rule cong :premises (@p246 @p170) :args (@t133)) % 0.60/0.83 (step @p251 :rule symm :premises (@p28)) % 0.60/0.83 (step @p252 :rule refl :args (@t21)) % 0.60/0.83 (step @p253 :rule cong :premises (@p252 @p24) :args (@t140)) % 0.60/0.83 (step @p254 :rule symm :premises (@p12)) % 0.60/0.83 (step @p255 :rule cong :premises (@p16 @p16) :args (@t21)) % 0.60/0.83 (step @p256 :rule cong :premises (@p246 @p154) :args (@t54)) % 0.60/0.83 (step @p257 :rule trans :premises (@p256 @p255 @p254 @p25 @p253 @p251 @p250)) % 0.60/0.83 (step @p258 :rule refl :args (@t30)) % 0.60/0.83 (step @p259 :rule cong :premises (@p258 @p257) :args (@t55)) % 0.60/0.83 (step @p260 :rule symm :premises (@p46)) % 0.60/0.83 (step @p261 :rule cong :premises (@p260 @p16) :args (@t51)) % 0.60/0.83 (step @p262 :rule trans :premises (@p46 @p65 @p261)) % 0.60/0.83 (step @p263 :rule cong :premises (@p246 @p262) :args (@t30)) % 0.60/0.83 (step @p264 :rule trans :premises (@p60 @p263 @p64 @p259 @p249 @p248 @p247)) % 0.60/0.83 (step @p265 :rule cong :premises (@p158 @p264) :args (@t74)) % 0.60/0.83 (step @p266 :rule symm :premises (@p49)) % 0.60/0.83 (step @p267 :rule trans :premises (@p148 @p11)) % 0.60/0.83 (step @p268 :rule cong :premises (@p267 @p205) :args (@t37)) % 0.60/0.83 (step @p269 :rule trans :premises (@p43 @p186 @p268 @p266 @p265 @p61 @p240 @p50 @p210 @p47 @p196)) % 0.60/0.83 (step @p270 :rule cong :premises (@p269 @p195) :args (@t42)) % 0.60/0.83 (step @p271 :rule trans :premises (@p270 @p194 @p193 @p153)) % 0.60/0.83 (step @p272 :rule cong :premises (@p271 @p192) :args (@t43)) % 0.60/0.83 (step @p273 :rule trans :premises (@p272 @p145)) % 0.60/0.83 (step @p274 :rule false_elim :premises (@p273)) % 0.60/0.83 (step-pop @p357 :rule scope :premises (@p274)) % 0.60/0.83 (step-pop @p358 :rule scope :premises (@p357)) % 0.60/0.83 (step-pop @p359 :rule scope :premises (@p358)) % 0.60/0.83 (step-pop @p360 :rule scope :premises (@p359)) % 0.60/0.83 (step-pop @p361 :rule scope :premises (@p360)) % 0.60/0.83 (step-pop @p362 :rule scope :premises (@p361)) % 0.60/0.83 (step-pop @p363 :rule scope :premises (@p362)) % 0.60/0.83 (step-pop @p364 :rule scope :premises (@p363)) % 0.60/0.83 (step-pop @p365 :rule scope :premises (@p364)) % 0.60/0.83 (step-pop @p366 :rule scope :premises (@p365)) % 0.60/0.83 (step-pop @p367 :rule scope :premises (@p366)) % 0.60/0.83 (step-pop @p368 :rule scope :premises (@p367)) % 0.60/0.83 (step-pop @p369 :rule scope :premises (@p368)) % 0.60/0.83 (step-pop @p370 :rule scope :premises (@p369)) % 0.60/0.83 (step-pop @p371 :rule scope :premises (@p370)) % 0.60/0.83 (step-pop @p372 :rule scope :premises (@p371)) % 0.60/0.83 (step-pop @p373 :rule scope :premises (@p372)) % 0.60/0.83 (step-pop @p374 :rule scope :premises (@p373)) % 0.60/0.83 (step-pop @p375 :rule scope :premises (@p374)) % 0.60/0.83 (step-pop @p376 :rule scope :premises (@p375)) % 0.60/0.83 (step-pop @p377 :rule scope :premises (@p376)) % 0.60/0.83 (step-pop @p378 :rule scope :premises (@p377)) % 0.60/0.83 (step-pop @p379 :rule scope :premises (@p378)) % 0.60/0.83 (step-pop @p380 :rule scope :premises (@p379)) % 0.60/0.83 (step-pop @p381 :rule scope :premises (@p380)) % 0.60/0.83 (step-pop @p382 :rule scope :premises (@p381)) % 0.60/0.83 (step-pop @p383 :rule scope :premises (@p382)) % 0.60/0.83 (step-pop @p384 :rule scope :premises (@p383)) % 0.60/0.83 (step-pop @p385 :rule scope :premises (@p384)) % 0.60/0.83 (step-pop @p386 :rule scope :premises (@p385)) % 0.60/0.83 (step-pop @p387 :rule scope :premises (@p386)) % 0.60/0.83 (step-pop @p388 :rule scope :premises (@p387)) % 0.60/0.83 (step-pop @p389 :rule scope :premises (@p388)) % 0.60/0.83 (step-pop @p390 :rule scope :premises (@p389)) % 0.60/0.83 (step-pop @p391 :rule scope :premises (@p390)) % 0.60/0.83 (step-pop @p392 :rule scope :premises (@p391)) % 0.60/0.83 (step-pop @p393 :rule scope :premises (@p392)) % 0.60/0.83 (step @p275 :rule process_scope :premises (@p393) :args (@t44)) % 0.60/0.83 (step @p313 :rule implies_elim :premises (@p275)) % 0.60/0.83 (step @p314 :rule cnf_and_neg :args (@t157)) % 0.60/0.83 (step @p315 :rule resolution :premises (@p314 @p313) :args (true @t157)) % 0.60/0.83 (step @p316 :rule eq_resolve :premises (@p315 @p107)) % 0.60/0.83 (step @p317 false :rule chain_m_resolution :premises (@p316 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @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 true) (@list @t43 @t47 @t49 @t52 @t56 @t58 @t61 @t65 @t33 @t71 @t75 @t81 @t85 @t87 @t90 @t92 @t94 @t97 @t99 @t102 @t108 @t111 @t114 @t117 @t121 @t124 @t126 @t130 @t134 @t136 @t138 @t142 @t144 @t146 @t148 @t150 @t152 @t154))) % 0.60/0.83 ) % 0.60/0.83 % SZS output end Proof % 0.60/0.83 % cvc5 exiting %------------------------------------------------------------------------------