%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL162-1 : TPTP v9.3.1. 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 : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:16 AM UTC 2026 % Result : Unsatisfiable 34.67s 35.51s % Output : Proof 34.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL162-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n008.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 19:22:23 UTC 2026 % 0.14/0.36 % CPUTime : % 0.14/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/15.63 --- Run --no-e-matching --full-saturate-quant at 6... % 21.23/21.79 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.25/27.96 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.27/34.12 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.67/35.51 % SZS status Unsatisfiable % 34.67/35.51 % SZS output start Proof % 34.67/35.52 ( % 34.67/35.52 (declare-sort $$unsorted 0) % 34.67/35.52 (declare-const tptp.y $$unsorted) % 34.67/35.52 (declare-const tptp.x $$unsorted) % 34.67/35.52 (declare-const tptp.z $$unsorted) % 34.67/35.52 (declare-const tptp.falsehood $$unsorted) % 34.67/35.52 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 34.67/35.52 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 34.67/35.52 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 34.67/35.52 (declare-const tptp.and_star (-> $$unsorted $$unsorted $$unsorted)) % 34.67/35.52 (declare-const tptp.truth $$unsorted) % 34.67/35.52 (define @t1 () (@var "X" $$unsorted)) % 34.67/35.52 (define @t2 () (tptp.xor @t1 tptp.truth)) % 34.67/35.52 (define @t3 () (@list @t1)) % 34.67/35.52 (define @t4 () (forall @t3 (= (tptp.not @t1) @t2))) % 34.67/35.52 (define @t5 () (tptp.xor @t1 tptp.falsehood)) % 34.67/35.52 (define @t6 () (forall @t3 (= @t5 @t1))) % 34.67/35.52 (define @t7 () (tptp.and_star @t1 tptp.falsehood)) % 34.67/35.52 (define @t8 () (forall @t3 (= @t7 tptp.falsehood))) % 34.67/35.52 (define @t9 () (tptp.xor tptp.truth @t1)) % 34.67/35.52 (define @t10 () (tptp.and_star @t9 @t1)) % 34.67/35.52 (define @t11 () (forall @t3 (= @t10 tptp.falsehood))) % 34.67/35.52 (define @t12 () (@var "Y" $$unsorted)) % 34.67/35.52 (define @t13 () (tptp.xor tptp.truth @t12)) % 34.67/35.52 (define @t14 () (@list @t1 @t12)) % 34.67/35.52 (define @t15 () (@var "Z" $$unsorted)) % 34.67/35.52 (define @t16 () (tptp.and_star @t1 @t12)) % 34.67/35.52 (define @t17 () (forall (@list @t1 @t12 @t15) (= (tptp.and_star @t16 @t15) (tptp.and_star @t1 (tptp.and_star @t12 @t15))))) % 34.67/35.52 (define @t18 () (tptp.not tptp.truth)) % 34.67/35.52 (define @t19 () (tptp.implies tptp.x tptp.z)) % 34.67/35.52 (define @t20 () (tptp.implies tptp.y tptp.z)) % 34.67/35.52 (define @t21 () (tptp.implies @t20 @t19)) % 34.67/35.52 (define @t22 () (tptp.implies tptp.x tptp.y)) % 34.67/35.52 (define @t23 () (tptp.implies @t22 @t21)) % 34.67/35.52 (define @t24 () (@list tptp.truth)) % 34.67/35.52 (define @t25 () (= tptp.falsehood @t10)) % 34.67/35.52 (define @t26 () (tptp.xor tptp.truth tptp.y)) % 34.67/35.52 (define @t27 () (tptp.and_star @t26 tptp.y)) % 34.67/35.52 (define @t28 () (forall @t3 (= @t10 @t18))) % 34.67/35.52 (define @t29 () (= @t27 @t18)) % 34.67/35.52 (define @t30 () (@list tptp.y)) % 34.67/35.52 (define @t31 () (= @t18 @t27)) % 34.67/35.52 (define @t32 () (@list false)) % 34.67/35.52 (define @t33 () (@list @t28)) % 34.67/35.52 (define @t34 () (tptp.xor tptp.truth @t19)) % 34.67/35.52 (define @t35 () (tptp.and_star @t34 @t19)) % 34.67/35.52 (define @t36 () (= @t35 @t18)) % 34.67/35.52 (define @t37 () (@list @t19)) % 34.67/35.52 (define @t38 () (= @t18 @t35)) % 34.67/35.52 (define @t39 () (tptp.and_star tptp.x @t26)) % 34.67/35.52 (define @t40 () (tptp.xor tptp.truth @t39)) % 34.67/35.52 (define @t41 () (tptp.and_star @t40 @t39)) % 34.67/35.52 (define @t42 () (= @t41 @t18)) % 34.67/35.52 (define @t43 () (= @t18 @t41)) % 34.67/35.52 (define @t44 () (tptp.xor tptp.truth tptp.z)) % 34.67/35.52 (define @t45 () (tptp.and_star tptp.y @t44)) % 34.67/35.52 (define @t46 () (tptp.xor tptp.truth @t45)) % 34.67/35.52 (define @t47 () (tptp.and_star @t46 @t45)) % 34.67/35.52 (define @t48 () (= @t47 @t18)) % 34.67/35.52 (define @t49 () (= @t18 @t47)) % 34.67/35.52 (define @t50 () (tptp.and_star tptp.x @t44)) % 34.67/35.52 (define @t51 () (tptp.xor tptp.truth @t21)) % 34.67/35.52 (define @t52 () (tptp.and_star @t22 @t51)) % 34.67/35.52 (define @t53 () (tptp.and_star @t20 @t34)) % 34.67/35.52 (define @t54 () (tptp.and_star @t40 @t51)) % 34.67/35.52 (define @t55 () (tptp.not @t54)) % 34.67/35.52 (define @t56 () (tptp.xor @t54 tptp.truth)) % 34.67/35.52 (define @t57 () (= @t55 @t56)) % 34.67/35.52 (define @t58 () (@list @t54)) % 34.67/35.52 (define @t59 () (= @t56 @t55)) % 34.67/35.52 (define @t60 () (@list @t4)) % 34.67/35.52 (define @t61 () (tptp.and_star @t46 @t34)) % 34.67/35.52 (define @t62 () (tptp.and_star @t40 tptp.x)) % 34.67/35.52 (define @t63 () (tptp.and_star @t62 @t26)) % 34.67/35.52 (define @t64 () (= @t63 @t41)) % 34.67/35.52 (define @t65 () (= @t41 @t63)) % 34.67/35.52 (define @t66 () (= @t1 @t5)) % 34.67/35.52 (define @t67 () (tptp.xor tptp.truth tptp.truth)) % 34.67/35.52 (define @t68 () (tptp.and_star @t26 tptp.x)) % 34.67/35.52 (define @t69 () (tptp.xor @t68 tptp.truth)) % 34.67/35.52 (define @t70 () (tptp.xor (tptp.and_star (tptp.xor tptp.truth tptp.x) tptp.y) tptp.truth)) % 34.67/35.52 (define @t71 () (tptp.and_star @t67 @t53)) % 34.67/35.52 (define @t72 () (tptp.not @t71)) % 34.67/35.52 (define @t73 () (tptp.xor @t71 tptp.truth)) % 34.67/35.52 (define @t74 () (= @t72 @t73)) % 34.67/35.52 (define @t75 () (= @t73 @t72)) % 34.67/35.52 (define @t76 () (= tptp.falsehood @t7)) % 34.67/35.52 (define @t77 () (tptp.and_star tptp.y @t26)) % 34.67/35.52 (define @t78 () (tptp.and_star @t20 @t44)) % 34.67/35.52 (define @t79 () (tptp.and_star @t46 @t44)) % 34.67/35.52 (define @t80 () (= @t22 @t40)) % 34.67/35.52 (define @t81 () (tptp.xor tptp.truth @t50)) % 34.67/35.52 (define @t82 () (= @t19 @t81)) % 34.67/35.52 (define @t83 () (= @t20 @t46)) % 34.67/35.52 (define @t84 () (tptp.xor tptp.truth @t52)) % 34.67/35.52 (define @t85 () (= @t23 @t84)) % 34.67/35.52 (define @t86 () (tptp.xor tptp.truth @t53)) % 34.67/35.52 (define @t87 () (= @t21 @t86)) % 34.67/35.52 (define @t88 () (= @t18 @t67)) % 34.67/35.52 (define @t89 () (= @t34 (tptp.xor @t19 tptp.truth))) % 34.67/35.52 (define @t90 () (= @t51 (tptp.xor @t21 tptp.truth))) % 34.67/35.52 (define @t91 () (= @t40 (tptp.xor @t39 tptp.truth))) % 34.67/35.52 (define @t92 () (tptp.xor @t50 tptp.truth)) % 34.67/35.52 (define @t93 () (= @t81 @t92)) % 34.67/35.52 (define @t94 () (= @t84 (tptp.xor @t52 tptp.truth))) % 34.67/35.52 (define @t95 () (= @t86 (tptp.xor @t53 tptp.truth))) % 34.67/35.52 (define @t96 () (= @t39 @t68)) % 34.67/35.52 (define @t97 () (tptp.and_star @t44 tptp.x)) % 34.67/35.52 (define @t98 () (= @t50 @t97)) % 34.67/35.52 (define @t99 () (tptp.and_star @t44 tptp.y)) % 34.67/35.52 (define @t100 () (= @t45 @t99)) % 34.67/35.52 (define @t101 () (= @t52 (tptp.and_star @t51 @t22))) % 34.67/35.52 (define @t102 () (tptp.xor @t92 tptp.truth)) % 34.67/35.52 (define @t103 () (= (tptp.xor @t50 @t67) @t102)) % 34.67/35.52 (define @t104 () (tptp.xor @t61 tptp.truth)) % 34.67/35.52 (define @t105 () (tptp.xor @t104 tptp.truth)) % 34.67/35.52 (define @t106 () (= (tptp.xor @t61 @t67) @t105)) % 34.67/35.52 (define @t107 () (tptp.and_star @t70 tptp.y)) % 34.67/35.52 (define @t108 () (tptp.and_star @t69 tptp.x)) % 34.67/35.52 (define @t109 () (= @t108 @t107)) % 34.67/35.52 (define @t110 () (= @t27 @t77)) % 34.67/35.52 (define @t111 () (tptp.xor @t61 @t18)) % 34.67/35.52 (define @t112 () (= @t61 @t111)) % 34.67/35.52 (define @t113 () (tptp.xor @t50 @t18)) % 34.67/35.52 (define @t114 () (= @t50 @t113)) % 34.67/35.52 (define @t115 () (tptp.xor tptp.truth @t18)) % 34.67/35.52 (define @t116 () (= tptp.truth @t115)) % 34.67/35.52 (define @t117 () (tptp.and_star @t53 @t67)) % 34.67/35.52 (define @t118 () (= @t71 @t117)) % 34.67/35.52 (define @t119 () (tptp.and_star tptp.x @t69)) % 34.67/35.52 (define @t120 () (= @t108 @t119)) % 34.67/35.52 (define @t121 () (tptp.and_star tptp.y @t70)) % 34.67/35.52 (define @t122 () (= @t107 @t121)) % 34.67/35.52 (define @t123 () (= @t73 (tptp.xor tptp.truth @t71))) % 34.67/35.52 (define @t124 () (tptp.and_star @t70 @t77)) % 34.67/35.52 (define @t125 () (= (tptp.and_star @t107 @t26) @t124)) % 34.67/35.52 (define @t126 () (tptp.and_star @t20 @t97)) % 34.67/35.52 (define @t127 () (tptp.and_star @t78 tptp.x)) % 34.67/35.52 (define @t128 () (= @t127 @t126)) % 34.67/35.52 (define @t129 () (tptp.and_star @t79 tptp.y)) % 34.67/35.52 (define @t130 () (= @t129 (tptp.and_star @t46 @t99))) % 34.67/35.52 (define @t131 () (= @t18 (tptp.and_star @t53 @t18))) % 34.67/35.52 (define @t132 () (tptp.and_star @t77 @t70)) % 34.67/35.52 (define @t133 () (= @t124 @t132)) % 34.67/35.52 (define @t134 () (tptp.and_star @t127 @t22)) % 34.67/35.52 (define @t135 () (= @t134 (tptp.and_star @t78 (tptp.and_star tptp.x @t22)))) % 34.67/35.52 (define @t136 () (tptp.and_star @t79 @t121)) % 34.67/35.52 (define @t137 () (= (tptp.and_star @t129 @t70) @t136)) % 34.67/35.52 (define @t138 () (tptp.and_star @t67 @t51)) % 34.67/35.52 (define @t139 () (tptp.and_star @t34 @t81)) % 34.67/35.52 (define @t140 () (= tptp.truth @t23)) % 34.67/35.52 (define @t141 () (and @t80 @t82 @t83 @t85 @t87 @t88 @t31 @t38 @t43 @t49 @t89 @t90 @t91 @t93 @t94 @t95 @t96 @t98 @t100 @t101 @t59 @t103 @t106 @t109 @t65 @t110 @t112 @t114 @t116 @t118 @t120 @t122 @t123 @t75 @t125 @t128 @t130 @t131 @t133 @t135 @t137)) % 34.67/35.52 (assume @p1 @t4) % 34.67/35.52 (assume @p2 @t6) % 34.67/35.52 (assume @p3 (forall @t3 (= (tptp.xor @t1 @t1) tptp.falsehood))) % 34.67/35.52 (assume @p4 (forall @t3 (= (tptp.and_star @t1 tptp.truth) @t1))) % 34.67/35.52 (assume @p5 @t8) % 34.67/35.52 (assume @p6 @t11) % 34.67/35.52 (assume @p7 (forall @t14 (= (tptp.xor @t1 @t13) (tptp.xor @t2 @t12)))) % 34.67/35.52 (assume @p8 (forall @t14 (= (tptp.and_star (tptp.xor (tptp.and_star @t9 @t12) tptp.truth) @t12) (tptp.and_star (tptp.xor (tptp.and_star @t13 @t1) tptp.truth) @t1)))) % 34.67/35.52 (assume @p9 (forall @t14 (= (tptp.xor @t1 @t12) (tptp.xor @t12 @t1)))) % 34.67/35.52 (assume @p10 @t17) % 34.67/35.52 (assume @p11 (forall @t14 (= @t16 (tptp.and_star @t12 @t1)))) % 34.67/35.52 (assume @p12 (= @t18 tptp.falsehood)) % 34.67/35.52 (assume @p13 (forall @t14 (= (tptp.implies @t1 @t12) (tptp.xor tptp.truth (tptp.and_star @t1 @t13))))) % 34.67/35.52 (assume @p14 (not (= @t23 tptp.truth))) % 34.67/35.52 (step @p15 :rule symm :premises (@p14)) % 34.67/35.52 (step @p16 :rule instantiate :premises (@p13) :args ((@list tptp.x tptp.y))) % 34.67/35.52 (step @p17 :rule instantiate :premises (@p13) :args ((@list tptp.x tptp.z))) % 34.67/35.52 (step @p18 :rule instantiate :premises (@p13) :args ((@list tptp.y tptp.z))) % 34.67/35.52 (step @p19 :rule instantiate :premises (@p13) :args ((@list @t22 @t21))) % 34.67/35.52 (step @p20 :rule instantiate :premises (@p13) :args ((@list @t20 @t19))) % 34.67/35.52 (step @p21 :rule instantiate :premises (@p1) :args (@t24)) % 34.67/35.52 (step @p22 :rule eq-symm :args (@t18 @t10)) % 34.67/35.52 (step @p23 :rule cong :premises (@p22) :args ((forall @t3 (= @t18 @t10)))) % 34.67/35.52 (step @p24 :rule refl :args (@t10)) % 34.67/35.52 (step @p25 :rule symm :premises (@p12)) % 34.67/35.52 (step @p26 :rule cong :premises (@p25 @p24) :args (@t25)) % 34.67/35.52 (step @p27 :rule cong :premises (@p26) :args ((forall @t3 @t25))) % 34.67/35.52 (step @p28 :rule trans :premises (@p27 @p23)) % 34.67/35.52 (step @p29 :rule eq-symm :args (@t10 tptp.falsehood)) % 34.67/35.52 (step @p30 :rule cong :premises (@p29) :args (@t11)) % 34.67/35.52 (step @p31 :rule trans :premises (@p30 @p28)) % 34.67/35.52 (step @p32 :rule eq_resolve :premises (@p6 @p31)) % 34.67/35.52 (step @p33 :rule eq-symm :args (@t27 @t18)) % 34.67/35.52 (step @p34 :rule refl :args (@t28)) % 34.67/35.52 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t28 @t29))) % 34.67/35.52 (assume-push @p318 @t28) % 34.67/35.52 (step @p37 :rule instantiate :premises (@p32) :args (@t30)) % 34.67/35.52 (step-pop @p319 :rule scope :premises (@p37)) % 34.67/35.52 (step @p38 :rule process_scope :premises (@p319) :args (@t29)) % 34.67/35.52 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 34.67/35.52 (step @p41 :rule implies_elim :premises (@p40)) % 34.67/35.52 (step @p42 :rule chain_m_resolution :premises (@p41 @p32) :args (@t31 @t32 @t33)) % 34.67/35.52 (step @p43 :rule eq-symm :args (@t35 @t18)) % 34.67/35.52 (step @p44 :rule cong :premises (@p34 @p43) :args ((=> @t28 @t36))) % 34.67/35.52 (assume-push @p320 @t28) % 34.67/35.52 (step @p46 :rule instantiate :premises (@p32) :args (@t37)) % 34.67/35.52 (step-pop @p321 :rule scope :premises (@p46)) % 34.67/35.52 (step @p47 :rule process_scope :premises (@p321) :args (@t36)) % 34.67/35.52 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 34.67/35.52 (step @p50 :rule implies_elim :premises (@p49)) % 34.67/35.52 (step @p51 :rule chain_m_resolution :premises (@p50 @p32) :args (@t38 @t32 @t33)) % 34.67/35.52 (step @p52 :rule eq-symm :args (@t41 @t18)) % 34.67/35.52 (step @p53 :rule cong :premises (@p34 @p52) :args ((=> @t28 @t42))) % 34.67/35.52 (assume-push @p322 @t28) % 34.67/35.52 (step @p55 :rule instantiate :premises (@p32) :args ((@list @t39))) % 34.67/35.52 (step-pop @p323 :rule scope :premises (@p55)) % 34.67/35.52 (step @p56 :rule process_scope :premises (@p323) :args (@t42)) % 34.67/35.52 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 34.67/35.52 (step @p59 :rule implies_elim :premises (@p58)) % 34.67/35.52 (step @p60 :rule chain_m_resolution :premises (@p59 @p32) :args (@t43 @t32 @t33)) % 34.67/35.52 (step @p61 :rule eq-symm :args (@t47 @t18)) % 34.67/35.52 (step @p62 :rule cong :premises (@p34 @p61) :args ((=> @t28 @t48))) % 34.67/35.52 (assume-push @p324 @t28) % 34.67/35.52 (step @p64 :rule instantiate :premises (@p32) :args ((@list @t45))) % 34.67/35.52 (step-pop @p325 :rule scope :premises (@p64)) % 34.67/35.52 (step @p65 :rule process_scope :premises (@p325) :args (@t48)) % 34.67/35.52 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 34.67/35.52 (step @p68 :rule implies_elim :premises (@p67)) % 34.67/35.52 (step @p69 :rule chain_m_resolution :premises (@p68 @p32) :args (@t49 @t32 @t33)) % 34.67/35.52 (step @p70 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t19))) % 34.67/35.52 (step @p71 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t21))) % 34.67/35.52 (step @p72 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t39))) % 34.67/35.52 (step @p73 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t50))) % 34.67/35.52 (step @p74 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t52))) % 34.67/35.52 (step @p75 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t53))) % 34.67/35.52 (step @p76 :rule instantiate :premises (@p11) :args ((@list tptp.x @t26))) % 34.67/35.52 (step @p77 :rule instantiate :premises (@p11) :args ((@list tptp.x @t44))) % 34.67/35.52 (step @p78 :rule instantiate :premises (@p11) :args ((@list tptp.y @t44))) % 34.67/35.52 (step @p79 :rule instantiate :premises (@p11) :args ((@list @t22 @t51))) % 34.67/35.52 (step @p80 :rule eq-symm :args (@t55 @t56)) % 34.67/35.52 (step @p81 :rule refl :args (@t4)) % 34.67/35.52 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t4 @t57))) % 34.67/35.52 (assume-push @p326 @t4) % 34.67/35.52 (step @p84 :rule instantiate :premises (@p1) :args (@t58)) % 34.67/35.52 (step-pop @p327 :rule scope :premises (@p84)) % 34.67/35.52 (step @p85 :rule process_scope :premises (@p327) :args (@t57)) % 34.67/35.52 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 34.67/35.52 (step @p88 :rule implies_elim :premises (@p87)) % 34.67/35.52 (step @p89 :rule chain_m_resolution :premises (@p88 @p1) :args (@t59 @t32 @t60)) % 34.67/35.52 (step @p90 :rule instantiate :premises (@p7) :args ((@list @t50 tptp.truth))) % 34.67/35.52 (step @p91 :rule instantiate :premises (@p7) :args ((@list @t61 tptp.truth))) % 34.67/35.52 (step @p92 :rule instantiate :premises (@p8) :args ((@list tptp.y tptp.x))) % 34.67/35.52 (step @p93 :rule eq-symm :args (@t63 @t41)) % 34.67/35.52 (step @p94 :rule refl :args (@t17)) % 34.67/35.52 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t17 @t64))) % 34.67/35.52 (assume-push @p328 @t17) % 34.67/35.52 (step @p97 :rule instantiate :premises (@p10) :args ((@list @t40 tptp.x @t26))) % 34.67/35.52 (step-pop @p329 :rule scope :premises (@p97)) % 34.67/35.52 (step @p98 :rule process_scope :premises (@p329) :args (@t64)) % 34.67/35.52 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 34.67/35.52 (step @p101 :rule implies_elim :premises (@p100)) % 34.67/35.52 (step @p102 :rule chain_m_resolution :premises (@p101 @p10) :args (@t65 @t32 (@list @t17))) % 34.67/35.52 (step @p103 :rule instantiate :premises (@p11) :args ((@list @t26 tptp.y))) % 34.67/35.52 (step @p104 :rule refl :args (@t1)) % 34.67/35.52 (step @p105 :rule cong :premises (@p104 @p25) :args (@t5)) % 34.67/35.52 (step @p106 :rule cong :premises (@p104 @p105) :args (@t66)) % 34.67/35.52 (step @p107 :rule cong :premises (@p106) :args ((forall @t3 @t66))) % 34.67/35.52 (step @p108 :rule eq-symm :args (@t5 @t1)) % 34.67/35.52 (step @p109 :rule cong :premises (@p108) :args (@t6)) % 34.67/35.52 (step @p110 :rule trans :premises (@p109 @p107)) % 34.67/35.52 (step @p111 :rule eq_resolve :premises (@p2 @p110)) % 34.67/35.52 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t61))) % 34.67/35.52 (step @p113 :rule instantiate :premises (@p111) :args ((@list @t50))) % 34.67/35.52 (step @p114 :rule instantiate :premises (@p111) :args (@t24)) % 34.67/35.52 (step @p115 :rule instantiate :premises (@p11) :args ((@list @t67 @t53))) % 34.67/35.52 (step @p116 :rule instantiate :premises (@p11) :args ((@list @t69 tptp.x))) % 34.67/35.52 (step @p117 :rule instantiate :premises (@p11) :args ((@list @t70 tptp.y))) % 34.67/35.52 (step @p118 :rule instantiate :premises (@p9) :args ((@list @t71 tptp.truth))) % 34.67/35.52 (step @p119 :rule eq-symm :args (@t72 @t73)) % 34.67/35.52 (step @p120 :rule cong :premises (@p81 @p119) :args ((=> @t4 @t74))) % 34.67/35.52 (assume-push @p330 @t4) % 34.67/35.52 (step @p122 :rule instantiate :premises (@p1) :args ((@list @t71))) % 34.67/35.52 (step-pop @p331 :rule scope :premises (@p122)) % 34.67/35.52 (step @p123 :rule process_scope :premises (@p331) :args (@t74)) % 34.67/35.52 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 34.67/35.52 (step @p126 :rule implies_elim :premises (@p125)) % 34.67/35.52 (step @p127 :rule chain_m_resolution :premises (@p126 @p1) :args (@t75 @t32 @t60)) % 34.67/35.52 (step @p128 :rule instantiate :premises (@p10) :args ((@list @t70 tptp.y @t26))) % 34.67/35.52 (step @p129 :rule instantiate :premises (@p10) :args ((@list @t20 @t44 tptp.x))) % 34.67/35.52 (step @p130 :rule instantiate :premises (@p10) :args ((@list @t46 @t44 tptp.y))) % 34.67/35.52 (step @p131 :rule cong :premises (@p104 @p25) :args (@t7)) % 34.67/35.52 (step @p132 :rule cong :premises (@p25 @p131) :args (@t76)) % 34.67/35.52 (step @p133 :rule cong :premises (@p132) :args ((forall @t3 @t76))) % 34.67/35.52 (step @p134 :rule eq-symm :args (@t7 tptp.falsehood)) % 34.67/35.52 (step @p135 :rule cong :premises (@p134) :args (@t8)) % 34.67/35.52 (step @p136 :rule trans :premises (@p135 @p133)) % 34.67/35.52 (step @p137 :rule eq_resolve :premises (@p5 @p136)) % 34.67/35.52 (step @p138 :rule instantiate :premises (@p137) :args ((@list @t53))) % 34.67/35.52 (step @p139 :rule instantiate :premises (@p11) :args ((@list @t70 @t77))) % 34.67/35.52 (step @p140 :rule instantiate :premises (@p10) :args ((@list @t78 tptp.x @t22))) % 34.67/35.52 (step @p141 :rule instantiate :premises (@p10) :args ((@list @t79 tptp.y @t70))) % 34.67/35.52 (assume-push @p332 @t80) % 34.67/35.52 (assume-push @p333 @t82) % 34.67/35.52 (assume-push @p334 @t83) % 34.67/35.52 (assume-push @p335 @t85) % 34.67/35.52 (assume-push @p336 @t87) % 34.67/35.52 (assume-push @p337 @t88) % 34.67/35.52 (assume-push @p338 @t31) % 34.67/35.52 (assume-push @p339 @t38) % 34.67/35.52 (assume-push @p340 @t43) % 34.67/35.52 (assume-push @p341 @t49) % 34.67/35.52 (assume-push @p342 @t89) % 34.67/35.52 (assume-push @p343 @t90) % 34.67/35.52 (assume-push @p344 @t91) % 34.67/35.52 (assume-push @p345 @t93) % 34.67/35.52 (assume-push @p346 @t94) % 34.67/35.52 (assume-push @p347 @t95) % 34.67/35.52 (assume-push @p348 @t96) % 34.67/35.52 (assume-push @p349 @t98) % 34.67/35.52 (assume-push @p350 @t100) % 34.67/35.52 (assume-push @p351 @t101) % 34.67/35.52 (assume-push @p352 @t59) % 34.67/35.52 (assume-push @p353 @t103) % 34.67/35.52 (assume-push @p354 @t106) % 34.67/35.52 (assume-push @p355 @t109) % 34.67/35.52 (assume-push @p356 @t65) % 34.67/35.52 (assume-push @p357 @t110) % 34.67/35.52 (assume-push @p358 @t112) % 34.67/35.52 (assume-push @p359 @t114) % 34.67/35.52 (assume-push @p360 @t116) % 34.67/35.52 (assume-push @p361 @t118) % 34.67/35.52 (assume-push @p362 @t120) % 34.67/35.52 (assume-push @p363 @t122) % 34.67/35.52 (assume-push @p364 @t123) % 34.67/35.52 (assume-push @p365 @t75) % 34.67/35.52 (assume-push @p366 @t125) % 34.67/35.52 (assume-push @p367 @t128) % 34.67/35.52 (assume-push @p368 @t130) % 34.67/35.52 (assume-push @p369 @t131) % 34.67/35.52 (assume-push @p370 @t133) % 34.67/35.52 (assume-push @p371 @t135) % 34.67/35.52 (assume-push @p372 @t137) % 34.67/35.52 (step @p183 :rule symm :premises (@p19)) % 34.67/35.52 (step @p184 :rule symm :premises (@p74)) % 34.67/35.52 (step @p185 :rule refl :args (tptp.truth)) % 34.67/35.52 (step @p186 :rule refl :args (@t51)) % 34.67/35.52 (step @p187 :rule symm :premises (@p16)) % 34.67/35.52 (step @p188 :rule cong :premises (@p187 @p186) :args (@t54)) % 34.67/35.52 (step @p189 :rule cong :premises (@p188 @p185) :args (@t56)) % 34.67/35.52 (step @p84 :rule instantiate :premises (@p1) :args (@t58)) % 34.67/35.52 (step @p190 :rule symm :premises (@p188)) % 34.67/35.52 (step @p191 :rule symm :premises (@p79)) % 34.67/35.52 (step @p192 :rule refl :args (@t22)) % 34.67/35.52 (step @p193 :rule symm :premises (@p71)) % 34.67/35.52 (step @p194 :rule symm :premises (@p20)) % 34.67/35.52 (step @p195 :rule symm :premises (@p75)) % 34.67/35.52 (step @p196 :rule refl :args (@t34)) % 34.67/35.52 (step @p197 :rule symm :premises (@p18)) % 34.67/35.52 (step @p198 :rule cong :premises (@p197 @p196) :args (@t61)) % 34.67/35.52 (step @p199 :rule cong :premises (@p198 @p185) :args (@t104)) % 34.67/35.52 (step @p200 :rule trans :premises (@p199 @p195 @p194)) % 34.67/35.52 (step @p201 :rule cong :premises (@p200 @p185) :args (@t105)) % 34.67/35.52 (step @p202 :rule refl :args (@t61)) % 34.67/35.52 (step @p203 :rule cong :premises (@p202 @p21) :args (@t111)) % 34.67/35.52 (step @p204 :rule symm :premises (@p198)) % 34.67/35.52 (step @p205 :rule symm :premises (@p70)) % 34.67/35.52 (step @p206 :rule symm :premises (@p17)) % 34.67/35.52 (step @p207 :rule symm :premises (@p73)) % 34.67/35.52 (step @p208 :rule trans :premises (@p207 @p206)) % 34.67/35.52 (step @p209 :rule cong :premises (@p208 @p185) :args (@t102)) % 34.67/35.52 (step @p210 :rule refl :args (@t50)) % 34.67/35.52 (step @p211 :rule cong :premises (@p210 @p21) :args (@t113)) % 34.67/35.52 (step @p212 :rule symm :premises (@p77)) % 34.67/35.52 (step @p213 :rule trans :premises (@p212 @p113 @p211 @p90 @p209 @p205)) % 34.67/35.52 (step @p214 :rule refl :args (@t20)) % 34.67/35.52 (step @p215 :rule cong :premises (@p214 @p213) :args (@t126)) % 34.67/35.52 (step @p216 :rule trans :premises (@p129 @p215 @p204 @p112 @p203 @p91 @p201 @p193)) % 34.67/35.52 (step @p217 :rule cong :premises (@p216 @p192) :args (@t134)) % 34.67/35.52 (step @p218 :rule symm :premises (@p140)) % 34.67/35.52 (step @p219 :rule symm :premises (@p72)) % 34.67/35.52 (step @p220 :rule symm :premises (@p76)) % 34.67/35.52 (step @p221 :rule cong :premises (@p220 @p185) :args (@t69)) % 34.67/35.52 (step @p222 :rule trans :premises (@p221 @p219 @p187)) % 34.67/35.52 (step @p223 :rule refl :args (tptp.x)) % 34.67/35.52 (step @p224 :rule cong :premises (@p223 @p222) :args (@t119)) % 34.67/35.52 (step @p225 :rule symm :premises (@p92)) % 34.67/35.52 (step @p226 :rule symm :premises (@p117)) % 34.67/35.52 (step @p227 :rule trans :premises (@p226 @p225 @p116 @p224)) % 34.67/35.52 (step @p228 :rule refl :args (@t44)) % 34.67/35.52 (step @p229 :rule cong :premises (@p197 @p228) :args (@t79)) % 34.67/35.52 (step @p230 :rule cong :premises (@p229 @p227) :args (@t136)) % 34.67/35.52 (step @p231 :rule refl :args (@t70)) % 34.67/35.52 (step @p232 :rule symm :premises (@p130)) % 34.67/35.52 (step @p233 :rule refl :args (@t46)) % 34.67/35.52 (step @p234 :rule cong :premises (@p233 @p78) :args (@t47)) % 34.67/35.52 (step @p235 :rule symm :premises (@p21)) % 34.67/35.52 (step @p236 :rule trans :premises (@p235 @p69 @p234 @p232)) % 34.67/35.52 (step @p37 :rule instantiate :premises (@p32) :args (@t30)) % 34.67/35.52 (step @p237 :rule symm :premises (@p103)) % 34.67/35.52 (step @p238 :rule trans :premises (@p237 @p37 @p21)) % 34.67/35.52 (step @p239 :rule trans :premises (@p238 @p236)) % 34.67/35.52 (step @p240 :rule cong :premises (@p239 @p231) :args (@t132)) % 34.67/35.52 (step @p241 :rule refl :args (@t26)) % 34.67/35.52 (step @p242 :rule symm :premises (@p222)) % 34.67/35.52 (step @p243 :rule trans :premises (@p187 @p242)) % 34.67/35.52 (step @p244 :rule cong :premises (@p243 @p223) :args (@t62)) % 34.67/35.52 (step @p245 :rule trans :premises (@p244 @p92)) % 34.67/35.52 (step @p246 :rule cong :premises (@p245 @p241) :args (@t63)) % 34.67/35.52 (step @p247 :rule symm :premises (@p138)) % 34.67/35.52 (step @p248 :rule refl :args (@t53)) % 34.67/35.52 (step @p249 :rule cong :premises (@p248 @p235) :args (@t117)) % 34.67/35.52 (step @p250 :rule trans :premises (@p115 @p249 @p247 @p60 @p102 @p246 @p128 @p139 @p240 @p141 @p230 @p218 @p217 @p191 @p190)) % 34.67/35.52 (step @p251 :rule cong :premises (@p250) :args (@t72)) % 34.67/35.52 (step @p252 :rule symm :premises (@p118)) % 34.67/35.52 (step @p253 :rule symm :premises (@p112)) % 34.67/35.52 (step @p254 :rule symm :premises (@p203)) % 34.67/35.52 (step @p255 :rule symm :premises (@p91)) % 34.67/35.52 (step @p256 :rule symm :premises (@p201)) % 34.67/35.52 (step @p257 :rule trans :premises (@p71 @p256 @p255 @p254 @p253 @p198)) % 34.67/35.52 (step @p258 :rule refl :args (@t67)) % 34.67/35.52 (step @p259 :rule cong :premises (@p258 @p257) :args (@t138)) % 34.67/35.52 (step @p260 :rule cong :premises (@p185 @p259) :args ((tptp.xor tptp.truth @t138))) % 34.67/35.52 (step @p261 :rule symm :premises (@p259)) % 34.67/35.52 (step @p262 :rule symm :premises (@p115)) % 34.67/35.52 (step @p263 :rule symm :premises (@p249)) % 34.67/35.52 (step @p46 :rule instantiate :premises (@p32) :args (@t37)) % 34.67/35.52 (step @p264 :rule cong :premises (@p196 @p206) :args (@t139)) % 34.67/35.52 (step @p265 :rule trans :premises (@p264 @p46 @p138 @p263 @p262 @p261)) % 34.67/35.52 (step @p266 :rule cong :premises (@p185 @p265) :args ((tptp.xor tptp.truth @t139))) % 34.67/35.52 (step @p267 :rule symm :premises (@p264)) % 34.67/35.52 (step @p268 :rule trans :premises (@p51 @p267)) % 34.67/35.52 (step @p269 :rule cong :premises (@p185 @p268) :args (@t115)) % 34.67/35.52 (step @p270 :rule trans :premises (@p114 @p269 @p266 @p260 @p252 @p127 @p251 @p84 @p189 @p184 @p183)) % 34.67/35.52 (step-pop @p373 :rule scope :premises (@p270)) % 34.67/35.52 (step-pop @p374 :rule scope :premises (@p373)) % 34.67/35.52 (step-pop @p375 :rule scope :premises (@p374)) % 34.67/35.52 (step-pop @p376 :rule scope :premises (@p375)) % 34.67/35.52 (step-pop @p377 :rule scope :premises (@p376)) % 34.67/35.52 (step-pop @p378 :rule scope :premises (@p377)) % 34.67/35.52 (step-pop @p379 :rule scope :premises (@p378)) % 34.67/35.52 (step-pop @p380 :rule scope :premises (@p379)) % 34.67/35.52 (step-pop @p381 :rule scope :premises (@p380)) % 34.67/35.52 (step-pop @p382 :rule scope :premises (@p381)) % 34.67/35.52 (step-pop @p383 :rule scope :premises (@p382)) % 34.67/35.52 (step-pop @p384 :rule scope :premises (@p383)) % 34.67/35.52 (step-pop @p385 :rule scope :premises (@p384)) % 34.67/35.52 (step-pop @p386 :rule scope :premises (@p385)) % 34.67/35.52 (step-pop @p387 :rule scope :premises (@p386)) % 34.67/35.52 (step-pop @p388 :rule scope :premises (@p387)) % 34.67/35.52 (step-pop @p389 :rule scope :premises (@p388)) % 34.67/35.52 (step-pop @p390 :rule scope :premises (@p389)) % 34.67/35.52 (step-pop @p391 :rule scope :premises (@p390)) % 34.67/35.52 (step-pop @p392 :rule scope :premises (@p391)) % 34.67/35.52 (step-pop @p393 :rule scope :premises (@p392)) % 34.67/35.52 (step-pop @p394 :rule scope :premises (@p393)) % 34.67/35.52 (step-pop @p395 :rule scope :premises (@p394)) % 34.67/35.52 (step-pop @p396 :rule scope :premises (@p395)) % 34.67/35.52 (step-pop @p397 :rule scope :premises (@p396)) % 34.67/35.52 (step-pop @p398 :rule scope :premises (@p397)) % 34.67/35.52 (step-pop @p399 :rule scope :premises (@p398)) % 34.67/35.52 (step-pop @p400 :rule scope :premises (@p399)) % 34.67/35.52 (step-pop @p401 :rule scope :premises (@p400)) % 34.67/35.52 (step-pop @p402 :rule scope :premises (@p401)) % 34.67/35.52 (step-pop @p403 :rule scope :premises (@p402)) % 34.67/35.52 (step-pop @p404 :rule scope :premises (@p403)) % 34.67/35.52 (step-pop @p405 :rule scope :premises (@p404)) % 34.67/35.52 (step-pop @p406 :rule scope :premises (@p405)) % 34.67/35.52 (step-pop @p407 :rule scope :premises (@p406)) % 34.67/35.52 (step-pop @p408 :rule scope :premises (@p407)) % 34.67/35.52 (step-pop @p409 :rule scope :premises (@p408)) % 34.67/35.52 (step-pop @p410 :rule scope :premises (@p409)) % 34.67/35.52 (step-pop @p411 :rule scope :premises (@p410)) % 34.67/35.52 (step-pop @p412 :rule scope :premises (@p411)) % 34.67/35.52 (step-pop @p413 :rule scope :premises (@p412)) % 34.67/35.52 (step @p271 :rule process_scope :premises (@p413) :args (@t140)) % 34.67/35.52 (step @p313 :rule implies_elim :premises (@p271)) % 34.67/35.52 (step @p314 :rule cnf_and_neg :args (@t141)) % 34.67/35.52 (step @p315 :rule resolution :premises (@p314 @p313) :args (true @t141)) % 34.67/35.52 (step @p316 :rule reordering :premises (@p315) :args ((or @t140 (not @t80) (not @t82) (not @t83) (not @t85) (not @t87) (not @t88) (not @t31) (not @t38) (not @t43) (not @t49) (not @t89) (not @t90) (not @t91) (not @t93) (not @t94) (not @t95) (not @t96) (not @t98) (not @t100) (not @t101) (not @t59) (not @t103) (not @t106) (not @t109) (not @t65) (not @t110) (not @t112) (not @t114) (not @t116) (not @t118) (not @t120) (not @t122) (not @t123) (not @t75) (not @t125) (not @t128) (not @t130) (not @t131) (not @t133) (not @t135) (not @t137)))) % 34.67/35.52 (step @p317 false :rule chain_m_resolution :premises (@p316 @p141 @p140 @p139 @p138 @p130 @p129 @p128 @p127 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p103 @p102 @p92 @p91 @p90 @p89 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p60 @p51 @p42 @p21 @p20 @p19 @p18 @p17 @p16 @p15) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t137 @t135 @t133 @t131 @t130 @t128 @t125 @t75 @t123 @t122 @t120 @t118 @t116 @t114 @t112 @t110 @t65 @t109 @t106 @t103 @t59 @t101 @t100 @t98 @t96 @t95 @t94 @t93 @t91 @t90 @t89 @t49 @t43 @t38 @t31 @t88 @t87 @t85 @t83 @t82 @t80 @t140))) % 34.67/35.52 ) % 34.67/35.53 % SZS output end Proof % 34.67/35.53 % cvc5 exiting %------------------------------------------------------------------------------