%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO016-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:09:04 AM UTC 2026 % Result : Unsatisfiable 15.63s 15.84s % Output : Proof 15.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO016-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:35:46 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.50 %----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... % 15.53/15.77 --- Run --no-e-matching --full-saturate-quant at 6... % 15.63/15.84 % SZS status Unsatisfiable % 15.63/15.84 % SZS output start Proof % 15.63/15.84 ( % 15.63/15.84 (declare-sort $$unsorted 0) % 15.63/15.84 (declare-const tptp.x $$unsorted) % 15.63/15.84 (declare-const tptp.y $$unsorted) % 15.63/15.84 (declare-const tptp.z $$unsorted) % 15.63/15.84 (declare-const tptp.additive_identity $$unsorted) % 15.63/15.84 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.63/15.84 (declare-const tptp.multiplicative_identity $$unsorted) % 15.63/15.84 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.63/15.84 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 15.63/15.84 (define @t1 () (@var "X" $$unsorted)) % 15.63/15.84 (define @t2 () (@var "Y" $$unsorted)) % 15.63/15.84 (define @t3 () (tptp.add @t1 @t2)) % 15.63/15.84 (define @t4 () (@list @t1 @t2)) % 15.63/15.84 (define @t5 () (tptp.multiply @t1 @t2)) % 15.63/15.84 (define @t6 () (@var "Z" $$unsorted)) % 15.63/15.84 (define @t7 () (tptp.add @t2 @t6)) % 15.63/15.84 (define @t8 () (tptp.add @t1 @t6)) % 15.63/15.84 (define @t9 () (@list @t1 @t2 @t6)) % 15.63/15.84 (define @t10 () (forall @t9 (= (tptp.add @t5 @t6) (tptp.multiply @t8 @t7)))) % 15.63/15.84 (define @t11 () (tptp.multiply @t2 @t6)) % 15.63/15.84 (define @t12 () (forall @t9 (= (tptp.add @t1 @t11) (tptp.multiply @t3 @t8)))) % 15.63/15.84 (define @t13 () (tptp.multiply @t1 @t6)) % 15.63/15.84 (define @t14 () (forall @t9 (= (tptp.multiply @t1 @t7) (tptp.add @t5 @t13)))) % 15.63/15.84 (define @t15 () (tptp.inverse @t1)) % 15.63/15.84 (define @t16 () (@list @t1)) % 15.63/15.84 (define @t17 () (tptp.add @t15 @t1)) % 15.63/15.84 (define @t18 () (forall @t16 (= @t17 tptp.multiplicative_identity))) % 15.63/15.84 (define @t19 () (tptp.multiply @t1 @t15)) % 15.63/15.84 (define @t20 () (forall @t16 (= @t19 tptp.additive_identity))) % 15.63/15.84 (define @t21 () (tptp.multiply @t15 @t1)) % 15.63/15.84 (define @t22 () (forall @t16 (= @t21 tptp.additive_identity))) % 15.63/15.84 (define @t23 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 15.63/15.84 (define @t24 () (forall @t16 (= @t23 @t1))) % 15.63/15.84 (define @t25 () (tptp.add @t1 tptp.additive_identity)) % 15.63/15.84 (define @t26 () (forall @t16 (= @t25 @t1))) % 15.63/15.84 (define @t27 () (tptp.add tptp.additive_identity @t1)) % 15.63/15.84 (define @t28 () (forall @t16 (= @t27 @t1))) % 15.63/15.84 (define @t29 () (tptp.multiply tptp.x tptp.y)) % 15.63/15.84 (define @t30 () (tptp.add tptp.x tptp.z)) % 15.63/15.84 (define @t31 () (not (= @t30 tptp.x))) % 15.63/15.84 (define @t32 () (= tptp.x @t30)) % 15.63/15.84 (define @t33 () (@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 15.63/15.84 (define @t34 () (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity)) % 15.63/15.84 (define @t35 () (tptp.add tptp.multiplicative_identity @t34)) % 15.63/15.84 (define @t36 () (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity)) % 15.63/15.84 (define @t37 () (tptp.multiply @t36 @t36)) % 15.63/15.84 (define @t38 () (= @t35 @t37)) % 15.63/15.84 (define @t39 () (= @t37 @t35)) % 15.63/15.84 (define @t40 () (@list false)) % 15.63/15.84 (define @t41 () (@list tptp.multiplicative_identity)) % 15.63/15.84 (define @t42 () (tptp.inverse tptp.multiplicative_identity)) % 15.63/15.84 (define @t43 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 15.63/15.84 (define @t44 () (tptp.add @t43 tptp.additive_identity)) % 15.63/15.84 (define @t45 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 15.63/15.84 (define @t46 () (tptp.multiply @t45 @t45)) % 15.63/15.84 (define @t47 () (= @t44 @t46)) % 15.63/15.84 (define @t48 () (@list tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 15.63/15.84 (define @t49 () (= @t46 @t44)) % 15.63/15.84 (define @t50 () (tptp.multiply tptp.additive_identity @t45)) % 15.63/15.84 (define @t51 () (tptp.add @t43 @t43)) % 15.63/15.84 (define @t52 () (= @t50 @t51)) % 15.63/15.84 (define @t53 () (= @t51 @t50)) % 15.63/15.84 (define @t54 () (tptp.inverse tptp.y)) % 15.63/15.84 (define @t55 () (tptp.multiply tptp.additive_identity tptp.y)) % 15.63/15.84 (define @t56 () (tptp.add tptp.x tptp.additive_identity)) % 15.63/15.84 (define @t57 () (tptp.multiply @t56 tptp.x)) % 15.63/15.84 (define @t58 () (tptp.multiply @t56 tptp.y)) % 15.63/15.84 (define @t59 () (tptp.add @t58 @t57)) % 15.63/15.84 (define @t60 () (tptp.add tptp.y tptp.x)) % 15.63/15.84 (define @t61 () (tptp.multiply @t56 @t60)) % 15.63/15.84 (define @t62 () (= @t61 @t59)) % 15.63/15.84 (define @t63 () (not @t62)) % 15.63/15.84 (define @t64 () (tptp.multiply tptp.y @t54)) % 15.63/15.84 (define @t65 () (tptp.multiply tptp.y tptp.additive_identity)) % 15.63/15.84 (define @t66 () (tptp.add tptp.additive_identity @t54)) % 15.63/15.84 (define @t67 () (tptp.multiply tptp.y @t66)) % 15.63/15.84 (define @t68 () (= @t67 (tptp.add @t65 @t64))) % 15.63/15.84 (define @t69 () (not @t68)) % 15.63/15.84 (define @t70 () (tptp.add tptp.x tptp.y)) % 15.63/15.84 (define @t71 () (tptp.add tptp.x @t55)) % 15.63/15.84 (define @t72 () (= @t71 (tptp.multiply @t56 @t70))) % 15.63/15.84 (define @t73 () (not @t72)) % 15.63/15.84 (define @t74 () (tptp.add @t55 tptp.additive_identity)) % 15.63/15.84 (define @t75 () (= @t55 @t74)) % 15.63/15.84 (define @t76 () (not @t75)) % 15.63/15.84 (define @t77 () (= @t54 @t66)) % 15.63/15.84 (define @t78 () (not @t77)) % 15.63/15.84 (define @t79 () (tptp.add tptp.x @t29)) % 15.63/15.84 (define @t80 () (= @t79 (tptp.add @t29 tptp.x))) % 15.63/15.84 (define @t81 () (not @t80)) % 15.63/15.84 (define @t82 () (= tptp.additive_identity @t64)) % 15.63/15.84 (define @t83 () (not @t82)) % 15.63/15.84 (define @t84 () (= @t70 @t60)) % 15.63/15.84 (define @t85 () (not @t84)) % 15.63/15.84 (define @t86 () (= @t55 @t65)) % 15.63/15.84 (define @t87 () (not @t86)) % 15.63/15.84 (define @t88 () (tptp.add tptp.additive_identity tptp.x)) % 15.63/15.84 (define @t89 () (tptp.add @t43 tptp.x)) % 15.63/15.84 (define @t90 () (= @t89 (tptp.multiply @t88 @t88))) % 15.63/15.84 (define @t91 () (not @t90)) % 15.63/15.84 (define @t92 () (= tptp.x @t56)) % 15.63/15.84 (define @t93 () (not @t92)) % 15.63/15.84 (define @t94 () (tptp.multiply tptp.multiplicative_identity tptp.additive_identity)) % 15.63/15.84 (define @t95 () (tptp.add tptp.additive_identity tptp.multiplicative_identity)) % 15.63/15.84 (define @t96 () (tptp.multiply @t95 tptp.additive_identity)) % 15.63/15.84 (define @t97 () (= @t96 (tptp.add @t43 @t94))) % 15.63/15.84 (define @t98 () (not @t97)) % 15.63/15.84 (define @t99 () (= tptp.additive_identity @t45)) % 15.63/15.84 (define @t100 () (not @t99)) % 15.63/15.84 (define @t101 () (not @t53)) % 15.63/15.84 (define @t102 () (tptp.multiply @t45 tptp.additive_identity)) % 15.63/15.84 (define @t103 () (= @t102 @t51)) % 15.63/15.84 (define @t104 () (not @t103)) % 15.63/15.84 (define @t105 () (= @t88 @t56)) % 15.63/15.84 (define @t106 () (not @t105)) % 15.63/15.84 (define @t107 () (not @t49)) % 15.63/15.84 (define @t108 () (tptp.multiply @t42 tptp.multiplicative_identity)) % 15.63/15.84 (define @t109 () (= @t42 @t108)) % 15.63/15.84 (define @t110 () (not @t109)) % 15.63/15.84 (define @t111 () (tptp.add @t42 tptp.multiplicative_identity)) % 15.63/15.84 (define @t112 () (tptp.multiply tptp.multiplicative_identity @t42)) % 15.63/15.84 (define @t113 () (tptp.add @t112 tptp.multiplicative_identity)) % 15.63/15.84 (define @t114 () (= @t113 (tptp.multiply @t36 @t111))) % 15.63/15.84 (define @t115 () (not @t114)) % 15.63/15.84 (define @t116 () (tptp.add tptp.multiplicative_identity tptp.additive_identity)) % 15.63/15.84 (define @t117 () (= tptp.multiplicative_identity @t116)) % 15.63/15.84 (define @t118 () (not @t117)) % 15.63/15.84 (define @t119 () (= tptp.multiplicative_identity @t34)) % 15.63/15.84 (define @t120 () (not @t119)) % 15.63/15.84 (define @t121 () (= tptp.additive_identity @t108)) % 15.63/15.84 (define @t122 () (not @t121)) % 15.63/15.84 (define @t123 () (= tptp.additive_identity @t112)) % 15.63/15.84 (define @t124 () (not @t123)) % 15.63/15.84 (define @t125 () (= tptp.multiplicative_identity @t111)) % 15.63/15.84 (define @t126 () (not @t125)) % 15.63/15.84 (define @t127 () (tptp.multiply @t36 tptp.multiplicative_identity)) % 15.63/15.84 (define @t128 () (= @t127 (tptp.add @t34 @t34))) % 15.63/15.84 (define @t129 () (not @t128)) % 15.63/15.84 (define @t130 () (not @t39)) % 15.63/15.84 (define @t131 () (tptp.add @t34 tptp.multiplicative_identity)) % 15.63/15.84 (define @t132 () (= @t131 @t37)) % 15.63/15.84 (define @t133 () (not @t132)) % 15.63/15.84 (define @t134 () (= @t116 @t95)) % 15.63/15.84 (define @t135 () (not @t134)) % 15.63/15.84 (define @t136 () (= tptp.x @t79)) % 15.63/15.84 (define @t137 () (not @t136)) % 15.63/15.84 (define @t138 () (and @t137 @t134 @t132 @t39 @t128 @t125 @t123 @t121 @t119 @t117 @t114 @t109 @t49 @t105 @t103 @t53 @t99 @t97 @t92 @t90 @t86 @t84 @t82 @t80 @t77 @t75 @t72 @t68)) % 15.63/15.84 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 15.63/15.84 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 15.63/15.84 (assume @p3 @t10) % 15.63/15.84 (assume @p4 @t12) % 15.63/15.84 (assume @p5 (forall @t9 (= (tptp.multiply @t3 @t6) (tptp.add @t13 @t11)))) % 15.63/15.84 (assume @p6 @t14) % 15.63/15.84 (assume @p7 (forall @t16 (= (tptp.add @t1 @t15) tptp.multiplicative_identity))) % 15.63/15.84 (assume @p8 @t18) % 15.63/15.84 (assume @p9 @t20) % 15.63/15.84 (assume @p10 @t22) % 15.63/15.84 (assume @p11 @t24) % 15.63/15.84 (assume @p12 (forall @t16 (= (tptp.multiply tptp.multiplicative_identity @t1) @t1))) % 15.63/15.84 (assume @p13 @t26) % 15.63/15.84 (assume @p14 @t28) % 15.63/15.84 (assume @p15 (= @t29 tptp.z)) % 15.63/15.84 (assume @p16 @t31) % 15.63/15.84 (step @p17 :rule symm :premises (@p15)) % 15.63/15.84 (step @p18 :rule refl :args (tptp.x)) % 15.63/15.84 (step @p19 :rule cong :premises (@p18 @p17) :args (@t30)) % 15.63/15.84 (step @p20 :rule cong :premises (@p18 @p19) :args (@t32)) % 15.63/15.84 (step @p21 :rule cong :premises (@p20) :args ((not @t32))) % 15.63/15.84 (step @p22 :rule eq-symm :args (@t30 tptp.x)) % 15.63/15.84 (step @p23 :rule cong :premises (@p22) :args (@t31)) % 15.63/15.84 (step @p24 :rule trans :premises (@p23 @p21)) % 15.63/15.84 (step @p25 :rule eq_resolve :premises (@p16 @p24)) % 15.63/15.84 (step @p26 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity tptp.additive_identity))) % 15.63/15.84 (step @p27 :rule instantiate :premises (@p3) :args (@t33)) % 15.63/15.84 (step @p28 :rule eq-symm :args (@t35 @t37)) % 15.63/15.84 (step @p29 :rule refl :args (@t12)) % 15.63/15.84 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t12 @t38))) % 15.63/15.84 (assume-push @p254 @t12) % 15.63/15.84 (step @p32 :rule instantiate :premises (@p4) :args (@t33)) % 15.63/15.84 (step-pop @p255 :rule scope :premises (@p32)) % 15.63/15.84 (step @p33 :rule process_scope :premises (@p255) :args (@t38)) % 15.63/15.84 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 15.63/15.84 (step @p36 :rule implies_elim :premises (@p35)) % 15.63/15.84 (step @p37 :rule chain_m_resolution :premises (@p36 @p4) :args (@t39 @t40 (@list @t12))) % 15.63/15.84 (step @p38 :rule instantiate :premises (@p5) :args (@t33)) % 15.63/15.84 (step @p39 :rule eq-symm :args (@t17 tptp.multiplicative_identity)) % 15.63/15.84 (step @p40 :rule cong :premises (@p39) :args (@t18)) % 15.63/15.84 (step @p41 :rule eq_resolve :premises (@p8 @p40)) % 15.63/15.84 (step @p42 :rule instantiate :premises (@p41) :args (@t41)) % 15.63/15.84 (step @p43 :rule eq-symm :args (@t19 tptp.additive_identity)) % 15.63/15.84 (step @p44 :rule cong :premises (@p43) :args (@t20)) % 15.63/15.84 (step @p45 :rule eq_resolve :premises (@p9 @p44)) % 15.63/15.84 (step @p46 :rule instantiate :premises (@p45) :args (@t41)) % 15.63/15.84 (step @p47 :rule eq-symm :args (@t21 tptp.additive_identity)) % 15.63/15.84 (step @p48 :rule cong :premises (@p47) :args (@t22)) % 15.63/15.84 (step @p49 :rule eq_resolve :premises (@p10 @p48)) % 15.63/15.84 (step @p50 :rule instantiate :premises (@p49) :args (@t41)) % 15.63/15.84 (step @p51 :rule eq-symm :args (@t23 @t1)) % 15.63/15.84 (step @p52 :rule cong :premises (@p51) :args (@t24)) % 15.63/15.84 (step @p53 :rule eq_resolve :premises (@p11 @p52)) % 15.63/15.84 (step @p54 :rule instantiate :premises (@p53) :args (@t41)) % 15.63/15.84 (step @p55 :rule eq-symm :args (@t25 @t1)) % 15.63/15.84 (step @p56 :rule cong :premises (@p55) :args (@t26)) % 15.63/15.84 (step @p57 :rule eq_resolve :premises (@p13 @p56)) % 15.63/15.84 (step @p58 :rule instantiate :premises (@p57) :args (@t41)) % 15.63/15.84 (step @p59 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity @t42 tptp.multiplicative_identity))) % 15.63/15.84 (step @p60 :rule instantiate :premises (@p53) :args ((@list @t42))) % 15.63/15.84 (step @p61 :rule eq-symm :args (@t44 @t46)) % 15.63/15.84 (step @p62 :rule refl :args (@t10)) % 15.63/15.84 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t10 @t47))) % 15.63/15.84 (assume-push @p256 @t10) % 15.63/15.84 (step @p65 :rule instantiate :premises (@p3) :args (@t48)) % 15.63/15.84 (step-pop @p257 :rule scope :premises (@p65)) % 15.63/15.84 (step @p66 :rule process_scope :premises (@p257) :args (@t47)) % 15.63/15.84 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 15.63/15.84 (step @p69 :rule implies_elim :premises (@p68)) % 15.63/15.84 (step @p70 :rule chain_m_resolution :premises (@p69 @p3) :args (@t49 @t40 (@list @t10))) % 15.63/15.84 (step @p71 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity tptp.x))) % 15.63/15.84 (step @p72 :rule instantiate :premises (@p5) :args (@t48)) % 15.63/15.84 (step @p73 :rule eq-symm :args (@t50 @t51)) % 15.63/15.84 (step @p74 :rule refl :args (@t14)) % 15.63/15.84 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t14 @t52))) % 15.63/15.84 (assume-push @p258 @t14) % 15.63/15.84 (step @p77 :rule instantiate :premises (@p6) :args (@t48)) % 15.63/15.84 (step-pop @p259 :rule scope :premises (@p77)) % 15.63/15.84 (step @p78 :rule process_scope :premises (@p259) :args (@t52)) % 15.63/15.84 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 15.63/15.84 (step @p81 :rule implies_elim :premises (@p80)) % 15.63/15.84 (step @p82 :rule chain_m_resolution :premises (@p81 @p6) :args (@t53 @t40 (@list @t14))) % 15.63/15.84 (step @p83 :rule instantiate :premises (@p57) :args ((@list tptp.additive_identity))) % 15.63/15.84 (step @p84 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 15.63/15.84 (step @p85 :rule instantiate :premises (@p57) :args ((@list tptp.x))) % 15.63/15.84 (step @p86 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.x))) % 15.63/15.84 (step @p87 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.y))) % 15.63/15.84 (step @p88 :rule instantiate :premises (@p1) :args ((@list tptp.x tptp.y))) % 15.63/15.84 (step @p89 :rule instantiate :premises (@p45) :args ((@list tptp.y))) % 15.63/15.84 (step @p90 :rule instantiate :premises (@p1) :args ((@list tptp.x @t29))) % 15.63/15.84 (step @p91 :rule eq-symm :args (@t27 @t1)) % 15.63/15.84 (step @p92 :rule cong :premises (@p91) :args (@t28)) % 15.63/15.84 (step @p93 :rule eq_resolve :premises (@p14 @p92)) % 15.63/15.84 (step @p94 :rule instantiate :premises (@p93) :args ((@list @t54))) % 15.63/15.84 (step @p95 :rule instantiate :premises (@p57) :args ((@list @t55))) % 15.63/15.84 (step @p96 :rule instantiate :premises (@p4) :args ((@list tptp.x tptp.additive_identity tptp.y))) % 15.63/15.84 (step @p97 :rule instantiate :premises (@p6) :args ((@list tptp.y tptp.additive_identity @t54))) % 15.63/15.84 (step @p98 :rule instantiate :premises (@p6) :args ((@list @t56 tptp.y tptp.x))) % 15.63/15.84 (step @p99 :rule refl :args (@t63)) % 15.63/15.84 (step @p100 :rule refl :args (@t69)) % 15.63/15.84 (step @p101 :rule refl :args (@t73)) % 15.63/15.84 (step @p102 :rule refl :args (@t76)) % 15.63/15.84 (step @p103 :rule refl :args (@t78)) % 15.63/15.84 (step @p104 :rule refl :args (@t81)) % 15.63/15.84 (step @p105 :rule refl :args (@t83)) % 15.63/15.84 (step @p106 :rule refl :args (@t85)) % 15.63/15.84 (step @p107 :rule refl :args (@t87)) % 15.63/15.84 (step @p108 :rule refl :args (@t91)) % 15.63/15.84 (step @p109 :rule refl :args (@t93)) % 15.63/15.84 (step @p110 :rule refl :args (@t98)) % 15.63/15.84 (step @p111 :rule refl :args (@t100)) % 15.63/15.84 (step @p112 :rule refl :args (@t101)) % 15.63/15.84 (step @p113 :rule refl :args (@t104)) % 15.63/15.84 (step @p114 :rule refl :args (@t106)) % 15.63/15.84 (step @p115 :rule refl :args (@t107)) % 15.63/15.84 (step @p116 :rule refl :args (@t110)) % 15.63/15.84 (step @p117 :rule refl :args (@t115)) % 15.63/15.84 (step @p118 :rule refl :args (@t118)) % 15.63/15.84 (step @p119 :rule refl :args (@t120)) % 15.63/15.84 (step @p120 :rule refl :args (@t122)) % 15.63/15.84 (step @p121 :rule refl :args (@t124)) % 15.63/15.84 (step @p122 :rule refl :args (@t126)) % 15.63/15.84 (step @p123 :rule refl :args (@t129)) % 15.63/15.84 (step @p124 :rule refl :args (@t130)) % 15.63/15.84 (step @p125 :rule refl :args (@t133)) % 15.63/15.84 (step @p126 :rule refl :args (@t135)) % 15.63/15.84 (step @p127 :rule bool-double-not-elim :args (@t136)) % 15.63/15.84 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99) :args ((or (not @t137) @t135 @t133 @t130 @t129 @t126 @t124 @t122 @t120 @t118 @t115 @t110 @t107 @t106 @t104 @t101 @t100 @t98 @t93 @t91 @t87 @t85 @t83 @t81 @t78 @t76 @t73 @t69 @t63))) % 15.63/15.84 (assume-push @p260 @t137) % 15.63/15.84 (assume-push @p261 @t134) % 15.63/15.84 (assume-push @p262 @t132) % 15.63/15.84 (assume-push @p263 @t39) % 15.63/15.84 (assume-push @p264 @t128) % 15.63/15.84 (assume-push @p265 @t125) % 15.63/15.84 (assume-push @p266 @t123) % 15.63/15.84 (assume-push @p267 @t121) % 15.63/15.84 (assume-push @p268 @t119) % 15.63/15.84 (assume-push @p269 @t117) % 15.63/15.84 (assume-push @p270 @t114) % 15.63/15.84 (assume-push @p271 @t109) % 15.63/15.84 (assume-push @p272 @t49) % 15.63/15.84 (assume-push @p273 @t105) % 15.63/15.84 (assume-push @p274 @t103) % 15.63/15.84 (assume-push @p275 @t53) % 15.63/15.84 (assume-push @p276 @t99) % 15.63/15.84 (assume-push @p277 @t97) % 15.63/15.84 (assume-push @p278 @t92) % 15.63/15.84 (assume-push @p279 @t90) % 15.63/15.84 (assume-push @p280 @t86) % 15.63/15.84 (assume-push @p281 @t84) % 15.63/15.84 (assume-push @p282 @t82) % 15.63/15.84 (assume-push @p283 @t80) % 15.63/15.84 (assume-push @p284 @t77) % 15.63/15.84 (assume-push @p285 @t75) % 15.63/15.84 (assume-push @p286 @t72) % 15.63/15.84 (assume-push @p287 @t68) % 15.63/15.84 (step @p157 :rule false_intro :premises (@p25)) % 15.63/15.84 (step @p158 :rule symm :premises (@p90)) % 15.63/15.84 (step @p159 :rule symm :premises (@p85)) % 15.63/15.84 (step @p160 :rule symm :premises (@p46)) % 15.63/15.84 (step @p161 :rule symm :premises (@p60)) % 15.63/15.84 (step @p162 :rule trans :premises (@p50 @p161)) % 15.63/15.84 (step @p163 :rule refl :args (tptp.multiplicative_identity)) % 15.63/15.84 (step @p164 :rule cong :premises (@p163 @p162) :args (@t94)) % 15.63/15.84 (step @p165 :rule refl :args (tptp.additive_identity)) % 15.63/15.84 (step @p166 :rule symm :premises (@p58)) % 15.63/15.84 (step @p167 :rule symm :premises (@p26)) % 15.63/15.84 (step @p168 :rule cong :premises (@p160 @p163) :args (@t113)) % 15.63/15.84 (step @p169 :rule symm :premises (@p59)) % 15.63/15.84 (step @p170 :rule refl :args (@t36)) % 15.63/15.84 (step @p171 :rule cong :premises (@p170 @p42) :args (@t127)) % 15.63/15.84 (step @p172 :rule symm :premises (@p38)) % 15.63/15.84 (step @p173 :rule refl :args (@t34)) % 15.63/15.84 (step @p174 :rule cong :premises (@p173 @p54) :args (@t131)) % 15.63/15.84 (step @p175 :rule symm :premises (@p27)) % 15.63/15.84 (step @p32 :rule instantiate :premises (@p4) :args (@t33)) % 15.63/15.84 (step @p176 :rule cong :premises (@p163 @p54) :args (@t36)) % 15.63/15.84 (step @p177 :rule trans :premises (@p176 @p32 @p175 @p174 @p172 @p171 @p169 @p168 @p167 @p166)) % 15.63/15.84 (step @p178 :rule symm :premises (@p176)) % 15.63/15.84 (step @p179 :rule symm :premises (@p174)) % 15.63/15.84 (step @p180 :rule symm :premises (@p171)) % 15.63/15.84 (step @p181 :rule symm :premises (@p168)) % 15.63/15.84 (step @p182 :rule trans :premises (@p181 @p59 @p180 @p38 @p179 @p27 @p37 @p178)) % 15.63/15.84 (step @p183 :rule trans :premises (@p182 @p177)) % 15.63/15.84 (step @p184 :rule cong :premises (@p183 @p165) :args (@t96)) % 15.63/15.84 (step @p185 :rule symm :premises (@p84)) % 15.63/15.84 (step @p186 :rule symm :premises (@p164)) % 15.63/15.84 (step @p187 :rule trans :premises (@p46 @p186)) % 15.63/15.84 (step @p188 :rule refl :args (@t43)) % 15.63/15.84 (step @p189 :rule cong :premises (@p188 @p187) :args (@t44)) % 15.63/15.84 (step @p190 :rule refl :args (@t45)) % 15.63/15.84 (step @p191 :rule cong :premises (@p190 @p83) :args (@t102)) % 15.63/15.84 (step @p192 :rule symm :premises (@p72)) % 15.63/15.84 (step @p77 :rule instantiate :premises (@p6) :args (@t48)) % 15.63/15.84 (step @p193 :rule cong :premises (@p165 @p83) :args (@t43)) % 15.63/15.84 (step @p194 :rule trans :premises (@p193 @p77 @p192 @p191 @p70 @p189 @p185 @p184 @p164 @p160)) % 15.63/15.84 (step @p195 :rule cong :premises (@p194 @p18) :args (@t89)) % 15.63/15.84 (step @p196 :rule symm :premises (@p86)) % 15.63/15.84 (step @p197 :rule symm :premises (@p71)) % 15.63/15.84 (step @p198 :rule trans :premises (@p85 @p197)) % 15.63/15.84 (step @p199 :rule cong :premises (@p197 @p198) :args (@t57)) % 15.63/15.84 (step @p200 :rule trans :premises (@p199 @p196 @p195 @p71 @p159)) % 15.63/15.84 (step @p201 :rule refl :args (tptp.y)) % 15.63/15.84 (step @p202 :rule cong :premises (@p159 @p201) :args (@t58)) % 15.63/15.84 (step @p203 :rule cong :premises (@p202 @p200) :args (@t59)) % 15.63/15.84 (step @p204 :rule trans :premises (@p203 @p158)) % 15.63/15.84 (step @p205 :rule symm :premises (@p89)) % 15.63/15.84 (step @p206 :rule symm :premises (@p94)) % 15.63/15.84 (step @p207 :rule cong :premises (@p201 @p206) :args (@t67)) % 15.63/15.84 (step @p208 :rule symm :premises (@p97)) % 15.63/15.84 (step @p209 :rule cong :premises (@p87 @p89) :args (@t74)) % 15.63/15.84 (step @p210 :rule trans :premises (@p95 @p209 @p208 @p207 @p205)) % 15.63/15.84 (step @p211 :rule cong :premises (@p18 @p210) :args (@t71)) % 15.63/15.84 (step @p212 :rule symm :premises (@p96)) % 15.63/15.84 (step @p213 :rule symm :premises (@p88)) % 15.63/15.84 (step @p214 :rule refl :args (@t56)) % 15.63/15.84 (step @p215 :rule cong :premises (@p214 @p213) :args (@t61)) % 15.63/15.84 (step @p216 :rule trans :premises (@p215 @p212 @p211 @p159)) % 15.63/15.84 (step @p217 :rule cong :premises (@p216 @p204) :args (@t62)) % 15.63/15.84 (step @p218 :rule trans :premises (@p217 @p157)) % 15.63/15.84 (step @p219 :rule false_elim :premises (@p218)) % 15.63/15.84 (step-pop @p288 :rule scope :premises (@p219)) % 15.63/15.84 (step-pop @p289 :rule scope :premises (@p288)) % 15.63/15.84 (step-pop @p290 :rule scope :premises (@p289)) % 15.63/15.84 (step-pop @p291 :rule scope :premises (@p290)) % 15.63/15.84 (step-pop @p292 :rule scope :premises (@p291)) % 15.63/15.84 (step-pop @p293 :rule scope :premises (@p292)) % 15.63/15.84 (step-pop @p294 :rule scope :premises (@p293)) % 15.63/15.84 (step-pop @p295 :rule scope :premises (@p294)) % 15.63/15.84 (step-pop @p296 :rule scope :premises (@p295)) % 15.63/15.84 (step-pop @p297 :rule scope :premises (@p296)) % 15.63/15.84 (step-pop @p298 :rule scope :premises (@p297)) % 15.63/15.84 (step-pop @p299 :rule scope :premises (@p298)) % 15.63/15.84 (step-pop @p300 :rule scope :premises (@p299)) % 15.63/15.84 (step-pop @p301 :rule scope :premises (@p300)) % 15.63/15.84 (step-pop @p302 :rule scope :premises (@p301)) % 15.63/15.84 (step-pop @p303 :rule scope :premises (@p302)) % 15.63/15.84 (step-pop @p304 :rule scope :premises (@p303)) % 15.63/15.84 (step-pop @p305 :rule scope :premises (@p304)) % 15.63/15.84 (step-pop @p306 :rule scope :premises (@p305)) % 15.63/15.84 (step-pop @p307 :rule scope :premises (@p306)) % 15.63/15.84 (step-pop @p308 :rule scope :premises (@p307)) % 15.63/15.84 (step-pop @p309 :rule scope :premises (@p308)) % 15.63/15.84 (step-pop @p310 :rule scope :premises (@p309)) % 15.63/15.84 (step-pop @p311 :rule scope :premises (@p310)) % 15.63/15.84 (step-pop @p312 :rule scope :premises (@p311)) % 15.63/15.84 (step-pop @p313 :rule scope :premises (@p312)) % 15.63/15.84 (step-pop @p314 :rule scope :premises (@p313)) % 15.63/15.84 (step-pop @p315 :rule scope :premises (@p314)) % 15.63/15.84 (step @p220 :rule process_scope :premises (@p315) :args (@t63)) % 15.63/15.84 (step @p249 :rule implies_elim :premises (@p220)) % 15.63/15.84 (step @p250 :rule cnf_and_neg :args (@t138)) % 15.63/15.84 (step @p251 :rule resolution :premises (@p250 @p249) :args (true @t138)) % 15.63/15.84 (step @p252 :rule eq_resolve :premises (@p251 @p128)) % 15.63/15.84 (step @p253 false :rule chain_m_resolution :premises (@p252 @p98 @p97 @p96 @p95 @p94 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p72 @p71 @p70 @p60 @p59 @p58 @p54 @p50 @p46 @p42 @p38 @p37 @p27 @p26 @p25) :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 @t62 @t68 @t72 @t75 @t77 @t80 @t82 @t84 @t86 @t90 @t92 @t97 @t99 @t53 @t103 @t105 @t49 @t109 @t114 @t117 @t119 @t121 @t123 @t125 @t128 @t39 @t132 @t134 @t136))) % 15.63/15.84 ) % 15.63/15.84 % SZS output end Proof % 15.63/15.85 % cvc5 exiting %------------------------------------------------------------------------------