%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL163-1 : 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 : n027.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 0.45s 0.78s % Output : Proof 0.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL163-1 : 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 % 0.08/0.35 % Computer : n027.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Fri Sep 4 17:33:12 UTC 2026 % 0.08/0.36 % CPUTime : % 0.14/0.46 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.78 % SZS status Unsatisfiable % 0.45/0.78 % SZS output start Proof % 0.45/0.79 ( % 0.45/0.79 (declare-sort $$unsorted 0) % 0.45/0.79 (declare-const tptp.y $$unsorted) % 0.45/0.79 (declare-const tptp.x $$unsorted) % 0.45/0.79 (declare-const tptp.falsehood $$unsorted) % 0.45/0.79 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.79 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.45/0.79 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.79 (declare-const tptp.and_star (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.79 (declare-const tptp.truth $$unsorted) % 0.45/0.79 (define @t1 () (@var "X" $$unsorted)) % 0.45/0.79 (define @t2 () (tptp.xor @t1 tptp.truth)) % 0.45/0.79 (define @t3 () (@list @t1)) % 0.45/0.79 (define @t4 () (forall @t3 (= (tptp.not @t1) @t2))) % 0.45/0.79 (define @t5 () (tptp.xor @t1 tptp.falsehood)) % 0.45/0.79 (define @t6 () (forall @t3 (= @t5 @t1))) % 0.45/0.79 (define @t7 () (tptp.and_star @t1 tptp.truth)) % 0.45/0.79 (define @t8 () (forall @t3 (= @t7 @t1))) % 0.45/0.79 (define @t9 () (tptp.and_star @t1 tptp.falsehood)) % 0.45/0.79 (define @t10 () (forall @t3 (= @t9 tptp.falsehood))) % 0.45/0.79 (define @t11 () (tptp.xor tptp.truth @t1)) % 0.45/0.79 (define @t12 () (tptp.and_star @t11 @t1)) % 0.45/0.79 (define @t13 () (forall @t3 (= @t12 tptp.falsehood))) % 0.45/0.79 (define @t14 () (@var "Y" $$unsorted)) % 0.45/0.79 (define @t15 () (tptp.xor tptp.truth @t14)) % 0.45/0.79 (define @t16 () (@list @t1 @t14)) % 0.45/0.79 (define @t17 () (@var "Z" $$unsorted)) % 0.45/0.79 (define @t18 () (tptp.and_star @t1 @t14)) % 0.45/0.79 (define @t19 () (tptp.not tptp.truth)) % 0.45/0.79 (define @t20 () (tptp.implies tptp.y tptp.x)) % 0.45/0.79 (define @t21 () (tptp.implies @t20 tptp.x)) % 0.45/0.79 (define @t22 () (tptp.implies tptp.x tptp.y)) % 0.45/0.79 (define @t23 () (tptp.implies @t22 tptp.y)) % 0.45/0.79 (define @t24 () (= @t23 @t21)) % 0.45/0.79 (define @t25 () (@list tptp.truth)) % 0.45/0.79 (define @t26 () (tptp.xor tptp.truth tptp.y)) % 0.45/0.79 (define @t27 () (tptp.and_star tptp.x @t26)) % 0.45/0.79 (define @t28 () (tptp.xor tptp.truth tptp.x)) % 0.45/0.79 (define @t29 () (tptp.and_star tptp.y @t28)) % 0.45/0.79 (define @t30 () (tptp.and_star @t22 @t26)) % 0.45/0.79 (define @t31 () (tptp.not @t27)) % 0.45/0.79 (define @t32 () (tptp.xor @t27 tptp.truth)) % 0.45/0.79 (define @t33 () (= @t31 @t32)) % 0.45/0.79 (define @t34 () (@list @t27)) % 0.45/0.79 (define @t35 () (= @t32 @t31)) % 0.45/0.79 (define @t36 () (@list false)) % 0.45/0.79 (define @t37 () (@list @t4)) % 0.45/0.79 (define @t38 () (@list @t26)) % 0.45/0.79 (define @t39 () (tptp.xor tptp.truth @t26)) % 0.45/0.79 (define @t40 () (tptp.and_star @t39 @t27)) % 0.45/0.79 (define @t41 () (tptp.xor @t40 tptp.truth)) % 0.45/0.79 (define @t42 () (tptp.xor tptp.truth @t30)) % 0.45/0.79 (define @t43 () (tptp.and_star @t42 @t26)) % 0.45/0.79 (define @t44 () (tptp.not @t43)) % 0.45/0.79 (define @t45 () (tptp.xor @t43 tptp.truth)) % 0.45/0.79 (define @t46 () (= @t44 @t45)) % 0.45/0.79 (define @t47 () (= @t45 @t44)) % 0.45/0.79 (define @t48 () (@list tptp.x)) % 0.45/0.79 (define @t49 () (= tptp.falsehood @t19)) % 0.45/0.79 (define @t50 () (tptp.xor tptp.truth tptp.truth)) % 0.45/0.79 (define @t51 () (= @t19 @t50)) % 0.45/0.79 (define @t52 () (tptp.xor tptp.truth @t27)) % 0.45/0.79 (define @t53 () (= @t22 @t52)) % 0.45/0.79 (define @t54 () (tptp.xor tptp.truth @t29)) % 0.45/0.79 (define @t55 () (= @t20 @t54)) % 0.45/0.79 (define @t56 () (= @t21 (tptp.xor tptp.truth (tptp.and_star @t20 @t28)))) % 0.45/0.79 (define @t57 () (tptp.and_star @t41 @t27)) % 0.45/0.79 (define @t58 () (= (tptp.and_star (tptp.xor (tptp.and_star @t52 @t26) tptp.truth) @t26) @t57)) % 0.45/0.79 (define @t59 () (tptp.xor tptp.x tptp.truth)) % 0.45/0.79 (define @t60 () (= @t28 @t59)) % 0.45/0.79 (define @t61 () (tptp.xor tptp.y tptp.truth)) % 0.45/0.79 (define @t62 () (= @t26 @t61)) % 0.45/0.79 (define @t63 () (= @t52 @t32)) % 0.45/0.79 (define @t64 () (= @t54 (tptp.xor @t29 tptp.truth))) % 0.45/0.79 (define @t65 () (tptp.xor @t30 tptp.truth)) % 0.45/0.79 (define @t66 () (= @t42 @t65)) % 0.45/0.79 (define @t67 () (tptp.and_star @t26 tptp.x)) % 0.45/0.79 (define @t68 () (= @t27 @t67)) % 0.45/0.79 (define @t69 () (tptp.and_star @t28 tptp.y)) % 0.45/0.79 (define @t70 () (= @t29 @t69)) % 0.45/0.79 (define @t71 () (= @t30 (tptp.and_star @t26 @t22))) % 0.45/0.79 (define @t72 () (tptp.and_star @t39 @t26)) % 0.45/0.79 (define @t73 () (= tptp.falsehood @t72)) % 0.45/0.79 (define @t74 () (tptp.xor @t26 tptp.truth)) % 0.45/0.79 (define @t75 () (= @t39 @t74)) % 0.45/0.79 (define @t76 () (tptp.xor tptp.truth @t28)) % 0.45/0.79 (define @t77 () (= @t76 (tptp.xor @t28 tptp.truth))) % 0.45/0.79 (define @t78 () (tptp.xor tptp.truth @t40)) % 0.45/0.79 (define @t79 () (= @t41 @t78)) % 0.45/0.79 (define @t80 () (tptp.and_star @t27 @t39)) % 0.45/0.79 (define @t81 () (= @t40 @t80)) % 0.45/0.79 (define @t82 () (tptp.and_star @t27 @t41)) % 0.45/0.79 (define @t83 () (= @t57 @t82)) % 0.45/0.79 (define @t84 () (tptp.xor tptp.y @t50)) % 0.45/0.79 (define @t85 () (= @t84 (tptp.xor @t61 tptp.truth))) % 0.45/0.79 (define @t86 () (tptp.xor @t59 tptp.truth)) % 0.45/0.79 (define @t87 () (= (tptp.xor tptp.x @t50) @t86)) % 0.45/0.79 (define @t88 () (tptp.and_star @t26 @t39)) % 0.45/0.79 (define @t89 () (tptp.and_star tptp.x @t88)) % 0.45/0.79 (define @t90 () (= @t80 @t89)) % 0.45/0.79 (define @t91 () (tptp.and_star @t26 @t41)) % 0.45/0.79 (define @t92 () (tptp.and_star tptp.x @t91)) % 0.45/0.79 (define @t93 () (= @t82 @t92)) % 0.45/0.79 (define @t94 () (= @t72 @t88)) % 0.45/0.79 (define @t95 () (tptp.and_star @t26 @t45)) % 0.45/0.79 (define @t96 () (tptp.and_star @t45 @t26)) % 0.45/0.79 (define @t97 () (= @t96 @t95)) % 0.45/0.79 (define @t98 () (tptp.xor tptp.truth @t96)) % 0.45/0.79 (define @t99 () (= (tptp.implies @t45 tptp.y) @t98)) % 0.45/0.79 (define @t100 () (= tptp.truth (tptp.xor tptp.truth tptp.falsehood))) % 0.45/0.79 (define @t101 () (tptp.xor tptp.x tptp.falsehood)) % 0.45/0.79 (define @t102 () (= tptp.x @t101)) % 0.45/0.79 (define @t103 () (= tptp.y (tptp.xor tptp.y tptp.falsehood))) % 0.45/0.79 (define @t104 () (= @t26 (tptp.and_star @t26 tptp.truth))) % 0.45/0.79 (define @t105 () (= tptp.falsehood (tptp.and_star tptp.x tptp.falsehood))) % 0.45/0.79 (define @t106 () (tptp.and_star @t39 @t28)) % 0.45/0.79 (define @t107 () (tptp.xor @t106 tptp.truth)) % 0.45/0.79 (define @t108 () (tptp.and_star @t107 @t28)) % 0.45/0.79 (define @t109 () (= @t108 (tptp.and_star (tptp.xor (tptp.and_star @t76 @t26) tptp.truth) @t26))) % 0.45/0.79 (define @t110 () (and @t49 @t51 @t53 @t55 @t56 @t58 @t60 @t62 @t63 @t64 @t66 @t68 @t70 @t71 @t35 @t73 @t75 @t77 @t79 @t81 @t83 @t47 @t85 @t87 @t90 @t93 @t94 @t97 @t99 @t100 @t102 @t103 @t104 @t105 @t109)) % 0.45/0.79 (assume @p1 @t4) % 0.45/0.79 (assume @p2 @t6) % 0.45/0.79 (assume @p3 (forall @t3 (= (tptp.xor @t1 @t1) tptp.falsehood))) % 0.45/0.79 (assume @p4 @t8) % 0.45/0.79 (assume @p5 @t10) % 0.45/0.79 (assume @p6 @t13) % 0.45/0.79 (assume @p7 (forall @t16 (= (tptp.xor @t1 @t15) (tptp.xor @t2 @t14)))) % 0.45/0.79 (assume @p8 (forall @t16 (= (tptp.and_star (tptp.xor (tptp.and_star @t11 @t14) tptp.truth) @t14) (tptp.and_star (tptp.xor (tptp.and_star @t15 @t1) tptp.truth) @t1)))) % 0.45/0.79 (assume @p9 (forall @t16 (= (tptp.xor @t1 @t14) (tptp.xor @t14 @t1)))) % 0.45/0.79 (assume @p10 (forall (@list @t1 @t14 @t17) (= (tptp.and_star @t18 @t17) (tptp.and_star @t1 (tptp.and_star @t14 @t17))))) % 0.45/0.79 (assume @p11 (forall @t16 (= @t18 (tptp.and_star @t14 @t1)))) % 0.45/0.79 (assume @p12 (= @t19 tptp.falsehood)) % 0.45/0.79 (assume @p13 (forall @t16 (= (tptp.implies @t1 @t14) (tptp.xor tptp.truth (tptp.and_star @t1 @t15))))) % 0.45/0.79 (assume @p14 (not @t24)) % 0.45/0.79 (step @p15 :rule symm :premises (@p12)) % 0.45/0.79 (step @p16 :rule instantiate :premises (@p1) :args (@t25)) % 0.45/0.79 (step @p17 :rule instantiate :premises (@p13) :args ((@list tptp.x tptp.y))) % 0.45/0.79 (step @p18 :rule instantiate :premises (@p13) :args ((@list tptp.y tptp.x))) % 0.45/0.79 (step @p19 :rule instantiate :premises (@p13) :args ((@list @t20 tptp.x))) % 0.45/0.79 (step @p20 :rule instantiate :premises (@p8) :args ((@list @t27 @t26))) % 0.45/0.79 (step @p21 :rule instantiate :premises (@p9) :args ((@list tptp.truth tptp.x))) % 0.45/0.79 (step @p22 :rule instantiate :premises (@p9) :args ((@list tptp.truth tptp.y))) % 0.45/0.79 (step @p23 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t27))) % 0.45/0.79 (step @p24 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t29))) % 0.45/0.79 (step @p25 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t30))) % 0.45/0.79 (step @p26 :rule instantiate :premises (@p11) :args ((@list tptp.x @t26))) % 0.45/0.79 (step @p27 :rule instantiate :premises (@p11) :args ((@list tptp.y @t28))) % 0.45/0.79 (step @p28 :rule instantiate :premises (@p11) :args ((@list @t22 @t26))) % 0.45/0.79 (step @p29 :rule eq-symm :args (@t31 @t32)) % 0.45/0.79 (step @p30 :rule refl :args (@t4)) % 0.45/0.79 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t4 @t33))) % 0.45/0.79 (assume-push @p221 @t4) % 0.45/0.79 (step @p33 :rule instantiate :premises (@p1) :args (@t34)) % 0.45/0.79 (step-pop @p222 :rule scope :premises (@p33)) % 0.45/0.79 (step @p34 :rule process_scope :premises (@p222) :args (@t33)) % 0.45/0.79 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 0.45/0.79 (step @p37 :rule implies_elim :premises (@p36)) % 0.45/0.79 (step @p38 :rule chain_m_resolution :premises (@p37 @p1) :args (@t35 @t36 @t37)) % 0.45/0.79 (step @p39 :rule eq-symm :args (@t12 tptp.falsehood)) % 0.45/0.79 (step @p40 :rule cong :premises (@p39) :args (@t13)) % 0.45/0.79 (step @p41 :rule eq_resolve :premises (@p6 @p40)) % 0.45/0.79 (step @p42 :rule instantiate :premises (@p41) :args (@t38)) % 0.45/0.79 (step @p43 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t26))) % 0.45/0.79 (step @p44 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t28))) % 0.45/0.79 (step @p45 :rule instantiate :premises (@p9) :args ((@list @t40 tptp.truth))) % 0.45/0.79 (step @p46 :rule instantiate :premises (@p11) :args ((@list @t39 @t27))) % 0.45/0.79 (step @p47 :rule instantiate :premises (@p11) :args ((@list @t41 @t27))) % 0.45/0.79 (step @p48 :rule eq-symm :args (@t44 @t45)) % 0.45/0.79 (step @p49 :rule cong :premises (@p30 @p48) :args ((=> @t4 @t46))) % 0.45/0.79 (assume-push @p223 @t4) % 0.45/0.79 (step @p51 :rule instantiate :premises (@p1) :args ((@list @t43))) % 0.45/0.79 (step-pop @p224 :rule scope :premises (@p51)) % 0.45/0.79 (step @p52 :rule process_scope :premises (@p224) :args (@t46)) % 0.45/0.79 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.45/0.79 (step @p55 :rule implies_elim :premises (@p54)) % 0.45/0.79 (step @p56 :rule chain_m_resolution :premises (@p55 @p1) :args (@t47 @t36 @t37)) % 0.45/0.79 (step @p57 :rule instantiate :premises (@p7) :args ((@list tptp.y tptp.truth))) % 0.45/0.79 (step @p58 :rule instantiate :premises (@p7) :args ((@list tptp.x tptp.truth))) % 0.45/0.79 (step @p59 :rule instantiate :premises (@p10) :args ((@list tptp.x @t26 @t39))) % 0.45/0.79 (step @p60 :rule instantiate :premises (@p10) :args ((@list tptp.x @t26 @t41))) % 0.45/0.79 (step @p61 :rule instantiate :premises (@p11) :args ((@list @t39 @t26))) % 0.45/0.79 (step @p62 :rule instantiate :premises (@p11) :args ((@list @t45 @t26))) % 0.45/0.79 (step @p63 :rule instantiate :premises (@p13) :args ((@list @t45 tptp.y))) % 0.45/0.79 (step @p64 :rule eq-symm :args (@t5 @t1)) % 0.45/0.79 (step @p65 :rule cong :premises (@p64) :args (@t6)) % 0.45/0.79 (step @p66 :rule eq_resolve :premises (@p2 @p65)) % 0.45/0.79 (step @p67 :rule instantiate :premises (@p66) :args (@t25)) % 0.45/0.79 (step @p68 :rule instantiate :premises (@p66) :args (@t48)) % 0.45/0.79 (step @p69 :rule instantiate :premises (@p66) :args ((@list tptp.y))) % 0.45/0.79 (step @p70 :rule eq-symm :args (@t7 @t1)) % 0.45/0.79 (step @p71 :rule cong :premises (@p70) :args (@t8)) % 0.45/0.79 (step @p72 :rule eq_resolve :premises (@p4 @p71)) % 0.45/0.79 (step @p73 :rule instantiate :premises (@p72) :args (@t38)) % 0.45/0.79 (step @p74 :rule eq-symm :args (@t9 tptp.falsehood)) % 0.45/0.79 (step @p75 :rule cong :premises (@p74) :args (@t10)) % 0.45/0.79 (step @p76 :rule eq_resolve :premises (@p5 @p75)) % 0.45/0.79 (step @p77 :rule instantiate :premises (@p76) :args (@t48)) % 0.45/0.79 (step @p78 :rule instantiate :premises (@p8) :args ((@list @t26 @t28))) % 0.45/0.79 (assume-push @p225 @t49) % 0.45/0.79 (assume-push @p226 @t51) % 0.45/0.79 (assume-push @p227 @t53) % 0.45/0.79 (assume-push @p228 @t55) % 0.45/0.79 (assume-push @p229 @t56) % 0.45/0.79 (assume-push @p230 @t58) % 0.45/0.79 (assume-push @p231 @t60) % 0.45/0.79 (assume-push @p232 @t62) % 0.45/0.79 (assume-push @p233 @t63) % 0.45/0.79 (assume-push @p234 @t64) % 0.45/0.79 (assume-push @p235 @t66) % 0.45/0.79 (assume-push @p236 @t68) % 0.45/0.79 (assume-push @p237 @t70) % 0.45/0.79 (assume-push @p238 @t71) % 0.45/0.79 (assume-push @p239 @t35) % 0.45/0.79 (assume-push @p240 @t73) % 0.45/0.79 (assume-push @p241 @t75) % 0.45/0.79 (assume-push @p242 @t77) % 0.45/0.79 (assume-push @p243 @t79) % 0.45/0.79 (assume-push @p244 @t81) % 0.45/0.79 (assume-push @p245 @t83) % 0.45/0.79 (assume-push @p246 @t47) % 0.45/0.79 (assume-push @p247 @t85) % 0.45/0.79 (assume-push @p248 @t87) % 0.45/0.79 (assume-push @p249 @t90) % 0.45/0.79 (assume-push @p250 @t93) % 0.45/0.79 (assume-push @p251 @t94) % 0.45/0.79 (assume-push @p252 @t97) % 0.45/0.79 (assume-push @p253 @t99) % 0.45/0.79 (assume-push @p254 @t100) % 0.45/0.79 (assume-push @p255 @t102) % 0.45/0.79 (assume-push @p256 @t103) % 0.45/0.79 (assume-push @p257 @t104) % 0.45/0.79 (assume-push @p258 @t105) % 0.45/0.79 (assume-push @p259 @t109) % 0.45/0.79 (step @p114 :rule symm :premises (@p19)) % 0.45/0.79 (step @p115 :rule refl :args (@t28)) % 0.45/0.79 (step @p116 :rule symm :premises (@p18)) % 0.45/0.79 (step @p117 :rule symm :premises (@p24)) % 0.45/0.79 (step @p118 :rule refl :args (tptp.truth)) % 0.45/0.79 (step @p119 :rule symm :premises (@p27)) % 0.45/0.79 (step @p120 :rule cong :premises (@p119 @p118) :args ((tptp.xor @t69 tptp.truth))) % 0.45/0.79 (step @p121 :rule symm :premises (@p69)) % 0.45/0.79 (step @p122 :rule symm :premises (@p16)) % 0.45/0.79 (step @p123 :rule trans :premises (@p122 @p12)) % 0.45/0.79 (step @p124 :rule refl :args (tptp.y)) % 0.45/0.79 (step @p125 :rule cong :premises (@p124 @p123) :args (@t84)) % 0.45/0.79 (step @p126 :rule symm :premises (@p57)) % 0.45/0.79 (step @p127 :rule cong :premises (@p22 @p118) :args (@t74)) % 0.45/0.79 (step @p128 :rule trans :premises (@p43 @p127 @p126 @p125 @p121)) % 0.45/0.79 (step @p129 :rule cong :premises (@p128 @p115) :args (@t106)) % 0.45/0.79 (step @p130 :rule trans :premises (@p129 @p27)) % 0.45/0.79 (step @p131 :rule cong :premises (@p130 @p118) :args (@t107)) % 0.45/0.79 (step @p132 :rule trans :premises (@p131 @p120 @p117 @p116)) % 0.45/0.79 (step @p133 :rule cong :premises (@p132 @p115) :args (@t108)) % 0.45/0.79 (step @p134 :rule symm :premises (@p78)) % 0.45/0.79 (step @p135 :rule refl :args (@t26)) % 0.45/0.79 (step @p136 :rule symm :premises (@p44)) % 0.45/0.79 (step @p137 :rule symm :premises (@p21)) % 0.45/0.79 (step @p138 :rule cong :premises (@p137 @p118) :args (@t86)) % 0.45/0.79 (step @p139 :rule symm :premises (@p123)) % 0.45/0.79 (step @p140 :rule refl :args (tptp.x)) % 0.45/0.79 (step @p141 :rule cong :premises (@p140 @p139) :args (@t101)) % 0.45/0.79 (step @p142 :rule trans :premises (@p68 @p141 @p58 @p138 @p136)) % 0.45/0.79 (step @p143 :rule cong :premises (@p142 @p135) :args (@t27)) % 0.45/0.79 (step @p144 :rule symm :premises (@p26)) % 0.45/0.79 (step @p145 :rule trans :premises (@p144 @p143)) % 0.45/0.79 (step @p146 :rule cong :premises (@p145 @p118) :args ((tptp.xor @t67 tptp.truth))) % 0.45/0.79 (step @p147 :rule cong :premises (@p26 @p118) :args (@t32)) % 0.45/0.79 (step @p148 :rule trans :premises (@p17 @p23 @p147 @p146)) % 0.45/0.79 (step @p149 :rule cong :premises (@p148 @p135) :args (@t30)) % 0.45/0.79 (step @p150 :rule symm :premises (@p28)) % 0.45/0.79 (step @p151 :rule symm :premises (@p17)) % 0.45/0.79 (step @p152 :rule symm :premises (@p23)) % 0.45/0.79 (step @p33 :rule instantiate :premises (@p1) :args (@t34)) % 0.45/0.79 (step @p153 :rule symm :premises (@p73)) % 0.45/0.79 (step @p154 :rule symm :premises (@p67)) % 0.45/0.79 (step @p155 :rule cong :premises (@p118 @p123) :args ((tptp.xor tptp.truth @t50))) % 0.45/0.79 (step @p156 :rule symm :premises (@p77)) % 0.45/0.79 (step @p157 :rule symm :premises (@p42)) % 0.45/0.79 (step @p158 :rule symm :premises (@p61)) % 0.45/0.80 (step @p159 :rule trans :premises (@p158 @p157)) % 0.45/0.80 (step @p160 :rule cong :premises (@p140 @p159) :args (@t89)) % 0.45/0.80 (step @p161 :rule trans :premises (@p46 @p59 @p160 @p156 @p15 @p16)) % 0.45/0.80 (step @p162 :rule cong :premises (@p118 @p161) :args (@t78)) % 0.45/0.80 (step @p163 :rule trans :premises (@p45 @p162 @p155 @p154)) % 0.45/0.80 (step @p164 :rule cong :premises (@p135 @p163) :args (@t91)) % 0.45/0.80 (step @p165 :rule trans :premises (@p164 @p153)) % 0.45/0.80 (step @p166 :rule cong :premises (@p140 @p165) :args (@t92)) % 0.45/0.80 (step @p167 :rule cong :premises (@p17 @p135) :args (@t30)) % 0.45/0.80 (step @p168 :rule cong :premises (@p167 @p118) :args (@t65)) % 0.45/0.80 (step @p169 :rule trans :premises (@p25 @p168)) % 0.45/0.80 (step @p170 :rule cong :premises (@p169 @p135) :args (@t43)) % 0.45/0.80 (step @p171 :rule trans :premises (@p170 @p20 @p47 @p60 @p166)) % 0.45/0.80 (step @p172 :rule cong :premises (@p171) :args (@t44)) % 0.45/0.80 (step @p173 :rule trans :premises (@p56 @p172 @p33 @p152 @p151)) % 0.45/0.80 (step @p174 :rule cong :premises (@p135 @p173) :args (@t95)) % 0.45/0.80 (step @p175 :rule trans :premises (@p62 @p174 @p150 @p149 @p134 @p133)) % 0.45/0.80 (step @p176 :rule cong :premises (@p118 @p175) :args (@t98)) % 0.45/0.80 (step @p177 :rule symm :premises (@p173)) % 0.45/0.80 (step @p178 :rule cong :premises (@p177 @p124) :args (@t23)) % 0.45/0.80 (step @p179 :rule trans :premises (@p178 @p63 @p176 @p114)) % 0.45/0.80 (step-pop @p260 :rule scope :premises (@p179)) % 0.45/0.80 (step-pop @p261 :rule scope :premises (@p260)) % 0.45/0.80 (step-pop @p262 :rule scope :premises (@p261)) % 0.45/0.80 (step-pop @p263 :rule scope :premises (@p262)) % 0.45/0.80 (step-pop @p264 :rule scope :premises (@p263)) % 0.45/0.80 (step-pop @p265 :rule scope :premises (@p264)) % 0.45/0.80 (step-pop @p266 :rule scope :premises (@p265)) % 0.45/0.80 (step-pop @p267 :rule scope :premises (@p266)) % 0.45/0.80 (step-pop @p268 :rule scope :premises (@p267)) % 0.45/0.80 (step-pop @p269 :rule scope :premises (@p268)) % 0.45/0.80 (step-pop @p270 :rule scope :premises (@p269)) % 0.45/0.80 (step-pop @p271 :rule scope :premises (@p270)) % 0.45/0.80 (step-pop @p272 :rule scope :premises (@p271)) % 0.45/0.80 (step-pop @p273 :rule scope :premises (@p272)) % 0.45/0.80 (step-pop @p274 :rule scope :premises (@p273)) % 0.45/0.80 (step-pop @p275 :rule scope :premises (@p274)) % 0.45/0.80 (step-pop @p276 :rule scope :premises (@p275)) % 0.45/0.80 (step-pop @p277 :rule scope :premises (@p276)) % 0.45/0.80 (step-pop @p278 :rule scope :premises (@p277)) % 0.45/0.80 (step-pop @p279 :rule scope :premises (@p278)) % 0.45/0.80 (step-pop @p280 :rule scope :premises (@p279)) % 0.45/0.80 (step-pop @p281 :rule scope :premises (@p280)) % 0.45/0.80 (step-pop @p282 :rule scope :premises (@p281)) % 0.45/0.80 (step-pop @p283 :rule scope :premises (@p282)) % 0.45/0.80 (step-pop @p284 :rule scope :premises (@p283)) % 0.45/0.80 (step-pop @p285 :rule scope :premises (@p284)) % 0.45/0.80 (step-pop @p286 :rule scope :premises (@p285)) % 0.45/0.80 (step-pop @p287 :rule scope :premises (@p286)) % 0.45/0.80 (step-pop @p288 :rule scope :premises (@p287)) % 0.45/0.80 (step-pop @p289 :rule scope :premises (@p288)) % 0.45/0.80 (step-pop @p290 :rule scope :premises (@p289)) % 0.45/0.80 (step-pop @p291 :rule scope :premises (@p290)) % 0.45/0.80 (step-pop @p292 :rule scope :premises (@p291)) % 0.45/0.80 (step-pop @p293 :rule scope :premises (@p292)) % 0.45/0.80 (step-pop @p294 :rule scope :premises (@p293)) % 0.45/0.80 (step @p180 :rule process_scope :premises (@p294) :args (@t24)) % 0.45/0.80 (step @p216 :rule implies_elim :premises (@p180)) % 0.45/0.80 (step @p217 :rule cnf_and_neg :args (@t110)) % 0.45/0.80 (step @p218 :rule resolution :premises (@p217 @p216) :args (true @t110)) % 0.45/0.80 (step @p219 :rule reordering :premises (@p218) :args ((or @t24 (not @t49) (not @t51) (not @t53) (not @t55) (not @t56) (not @t58) (not @t60) (not @t62) (not @t63) (not @t64) (not @t66) (not @t68) (not @t70) (not @t71) (not @t35) (not @t73) (not @t75) (not @t77) (not @t79) (not @t81) (not @t83) (not @t47) (not @t85) (not @t87) (not @t90) (not @t93) (not @t94) (not @t97) (not @t99) (not @t100) (not @t102) (not @t103) (not @t104) (not @t105) (not @t109)))) % 0.45/0.80 (step @p220 false :rule chain_m_resolution :premises (@p219 @p78 @p77 @p73 @p69 @p68 @p67 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p47 @p46 @p45 @p44 @p43 @p42 @p38 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p14 @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 true false) (@list @t109 @t105 @t104 @t103 @t102 @t100 @t99 @t97 @t94 @t93 @t90 @t87 @t85 @t47 @t83 @t81 @t79 @t77 @t75 @t73 @t35 @t71 @t70 @t68 @t66 @t64 @t63 @t62 @t60 @t58 @t56 @t55 @t53 @t51 @t24 @t49))) % 0.45/0.80 ) % 0.24/0.80 % SZS output end Proof % 0.24/0.80 % cvc5 exiting %------------------------------------------------------------------------------