%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL155-1 : TPTP v9.3.1. 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 : n009.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 11:22:15 AM UTC 2026 % Result : Unsatisfiable 1.33s 1.65s % Output : Proof 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL155-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n009.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 : Sat Sep 5 12:22:36 UTC 2026 % 0.08/0.35 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.13/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.33/1.65 % SZS status Unsatisfiable % 1.33/1.65 % SZS output start Proof % 1.33/1.65 ( % 1.33/1.65 (declare-sort $$unsorted 0) % 1.33/1.65 (declare-const tptp.falsehood $$unsorted) % 1.33/1.65 (declare-const tptp.and_star (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.65 (declare-const tptp.x $$unsorted) % 1.33/1.65 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.65 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.65 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 1.33/1.65 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.65 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.65 (declare-const tptp.truth $$unsorted) % 1.33/1.65 (define @t1 () (@var "X" $$unsorted)) % 1.33/1.65 (define @t2 () (tptp.implies tptp.truth @t1)) % 1.33/1.65 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 1.33/1.65 (define @t4 () (@var "Z" $$unsorted)) % 1.33/1.65 (define @t5 () (@var "Y" $$unsorted)) % 1.33/1.65 (define @t6 () (tptp.implies @t1 @t5)) % 1.33/1.65 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 1.33/1.65 (define @t8 () (@list @t1 @t5 @t4)) % 1.33/1.65 (define @t9 () (forall @t8 (= @t7 tptp.truth))) % 1.33/1.65 (define @t10 () (tptp.implies @t5 @t1)) % 1.33/1.65 (define @t11 () (@list @t1 @t5)) % 1.33/1.65 (define @t12 () (tptp.not @t5)) % 1.33/1.65 (define @t13 () (tptp.not @t1)) % 1.33/1.65 (define @t14 () (tptp.implies (tptp.implies @t13 @t12) @t10)) % 1.33/1.65 (define @t15 () (forall @t11 (= @t14 tptp.truth))) % 1.33/1.65 (define @t16 () (tptp.or @t1 @t5)) % 1.33/1.65 (define @t17 () (forall @t11 (= @t16 (tptp.implies @t13 @t5)))) % 1.33/1.65 (define @t18 () (tptp.not (tptp.or @t13 @t12))) % 1.33/1.65 (define @t19 () (tptp.and @t1 @t5)) % 1.33/1.65 (define @t20 () (tptp.xor @t1 @t5)) % 1.33/1.65 (define @t21 () (tptp.and_star @t1 @t5)) % 1.33/1.65 (define @t22 () (tptp.not tptp.truth)) % 1.33/1.65 (define @t23 () (tptp.xor tptp.x tptp.x)) % 1.33/1.65 (define @t24 () (tptp.not tptp.x)) % 1.33/1.65 (define @t25 () (tptp.and @t24 tptp.x)) % 1.33/1.65 (define @t26 () (tptp.and tptp.x @t24)) % 1.33/1.65 (define @t27 () (@list tptp.x @t24)) % 1.33/1.65 (define @t28 () (tptp.not @t24)) % 1.33/1.65 (define @t29 () (tptp.or tptp.truth @t22)) % 1.33/1.65 (define @t30 () (tptp.implies @t22 @t22)) % 1.33/1.65 (define @t31 () (= @t29 @t30)) % 1.33/1.65 (define @t32 () (@list tptp.truth @t22)) % 1.33/1.65 (define @t33 () (= @t30 @t29)) % 1.33/1.65 (define @t34 () (@list false)) % 1.33/1.65 (define @t35 () (@list @t17)) % 1.33/1.65 (define @t36 () (tptp.not @t28)) % 1.33/1.65 (define @t37 () (tptp.not @t22)) % 1.33/1.65 (define @t38 () (@list @t22 @t37)) % 1.33/1.65 (define @t39 () (tptp.not @t36)) % 1.33/1.65 (define @t40 () (@list @t36 @t39)) % 1.33/1.65 (define @t41 () (tptp.not @t39)) % 1.33/1.65 (define @t42 () (@list @t22 @t28)) % 1.33/1.65 (define @t43 () (tptp.implies tptp.truth tptp.truth)) % 1.33/1.65 (define @t44 () (tptp.or @t24 @t28)) % 1.33/1.65 (define @t45 () (tptp.not @t44)) % 1.33/1.65 (define @t46 () (tptp.and tptp.truth @t22)) % 1.33/1.65 (define @t47 () (tptp.or @t46 @t45)) % 1.33/1.65 (define @t48 () (tptp.implies (tptp.not @t46) @t45)) % 1.33/1.65 (define @t49 () (= @t47 @t48)) % 1.33/1.65 (define @t50 () (= @t48 @t47)) % 1.33/1.65 (define @t51 () (= tptp.falsehood @t22)) % 1.33/1.65 (define @t52 () (tptp.or @t26 @t25)) % 1.33/1.65 (define @t53 () (= @t23 @t52)) % 1.33/1.65 (define @t54 () (= @t52 (tptp.or @t25 @t26))) % 1.33/1.65 (define @t55 () (= @t26 @t45)) % 1.33/1.65 (define @t56 () (= @t26 @t25)) % 1.33/1.65 (define @t57 () (= @t44 (tptp.implies @t28 @t28))) % 1.33/1.65 (define @t58 () (tptp.implies @t30 @t43)) % 1.33/1.65 (define @t59 () (= tptp.truth @t58)) % 1.33/1.65 (define @t60 () (= tptp.truth @t43)) % 1.33/1.65 (define @t61 () (tptp.or @t22 @t37)) % 1.33/1.65 (define @t62 () (tptp.not @t61)) % 1.33/1.65 (define @t63 () (= @t46 @t62)) % 1.33/1.65 (define @t64 () (tptp.implies @t36 @t36)) % 1.33/1.65 (define @t65 () (tptp.implies @t39 @t39)) % 1.33/1.65 (define @t66 () (tptp.implies @t65 @t64)) % 1.33/1.65 (define @t67 () (= tptp.truth @t66)) % 1.33/1.65 (define @t68 () (tptp.implies @t37 @t37)) % 1.33/1.65 (define @t69 () (= @t61 @t68)) % 1.33/1.65 (define @t70 () (tptp.or @t36 @t39)) % 1.33/1.65 (define @t71 () (= @t70 @t65)) % 1.33/1.65 (define @t72 () (tptp.implies (tptp.not @t37) @t22)) % 1.33/1.65 (define @t73 () (tptp.or @t37 @t22)) % 1.33/1.65 (define @t74 () (= @t73 @t72)) % 1.33/1.65 (define @t75 () (tptp.implies @t41 @t36)) % 1.33/1.65 (define @t76 () (tptp.or @t39 @t36)) % 1.33/1.65 (define @t77 () (= @t76 @t75)) % 1.33/1.65 (define @t78 () (tptp.or @t22 tptp.truth)) % 1.33/1.65 (define @t79 () (= @t29 @t78)) % 1.33/1.65 (define @t80 () (= @t61 @t73)) % 1.33/1.65 (define @t81 () (= @t70 @t76)) % 1.33/1.65 (define @t82 () (tptp.implies tptp.truth @t26)) % 1.33/1.65 (define @t83 () (= @t26 @t82)) % 1.33/1.65 (define @t84 () (tptp.implies @t36 @t41)) % 1.33/1.65 (define @t85 () (= tptp.truth (tptp.implies @t84 (tptp.implies @t75 @t64)))) % 1.33/1.65 (define @t86 () (tptp.implies tptp.truth @t37)) % 1.33/1.65 (define @t87 () (= tptp.truth (tptp.implies @t72 @t86))) % 1.33/1.65 (define @t88 () (tptp.implies @t37 tptp.truth)) % 1.33/1.65 (define @t89 () (= @t78 @t88)) % 1.33/1.65 (define @t90 () (tptp.implies @t37 @t28)) % 1.33/1.65 (define @t91 () (tptp.or @t22 @t28)) % 1.33/1.65 (define @t92 () (= @t91 @t90)) % 1.33/1.65 (define @t93 () (tptp.implies @t36 @t22)) % 1.33/1.65 (define @t94 () (tptp.or @t28 @t22)) % 1.33/1.65 (define @t95 () (= @t94 @t93)) % 1.33/1.65 (define @t96 () (= @t91 @t94)) % 1.33/1.65 (define @t97 () (= @t37 @t86)) % 1.33/1.65 (define @t98 () (tptp.implies @t43 @t37)) % 1.33/1.65 (define @t99 () (tptp.implies @t98 @t37)) % 1.33/1.65 (define @t100 () (= (tptp.implies (tptp.implies @t37 @t43) @t43) @t99)) % 1.33/1.65 (define @t101 () (tptp.implies tptp.truth @t28)) % 1.33/1.65 (define @t102 () (tptp.implies @t93 @t101)) % 1.33/1.65 (define @t103 () (= tptp.truth @t102)) % 1.33/1.65 (define @t104 () (tptp.or @t26 @t22)) % 1.33/1.65 (define @t105 () (= @t104 (tptp.or @t22 @t26))) % 1.33/1.65 (define @t106 () (= @t28 @t101)) % 1.33/1.65 (define @t107 () (tptp.implies @t84 tptp.truth)) % 1.33/1.65 (define @t108 () (= tptp.falsehood @t23)) % 1.33/1.65 (define @t109 () (and @t51 @t53 @t54 @t55 @t56 @t57 @t59 @t60 @t33 @t63 @t67 @t69 @t71 @t74 @t77 @t79 @t80 @t81 @t83 @t85 @t87 @t89 @t92 @t95 @t96 @t97 @t100 @t103 @t50 @t105 @t106)) % 1.33/1.65 (assume @p1 @t3) % 1.33/1.65 (assume @p2 @t9) % 1.33/1.65 (assume @p3 (forall @t11 (= (tptp.implies @t6 @t5) (tptp.implies @t10 @t1)))) % 1.33/1.65 (assume @p4 @t15) % 1.33/1.65 (assume @p5 @t17) % 1.33/1.65 (assume @p6 (forall @t8 (= (tptp.or @t16 @t4) (tptp.or @t1 (tptp.or @t5 @t4))))) % 1.33/1.65 (assume @p7 (forall @t11 (= @t16 (tptp.or @t5 @t1)))) % 1.33/1.65 (assume @p8 (forall @t11 (= @t19 @t18))) % 1.33/1.65 (assume @p9 (forall @t8 (= (tptp.and @t19 @t4) (tptp.and @t1 (tptp.and @t5 @t4))))) % 1.33/1.65 (assume @p10 (forall @t11 (= @t19 (tptp.and @t5 @t1)))) % 1.33/1.65 (assume @p11 (forall @t11 (= @t20 (tptp.or (tptp.and @t1 @t12) (tptp.and @t13 @t5))))) % 1.33/1.65 (assume @p12 (forall @t11 (= @t20 (tptp.xor @t5 @t1)))) % 1.33/1.65 (assume @p13 (forall @t11 (= @t21 @t18))) % 1.33/1.65 (assume @p14 (forall @t8 (= (tptp.and_star @t21 @t4) (tptp.and_star @t1 (tptp.and_star @t5 @t4))))) % 1.33/1.65 (assume @p15 (forall @t11 (= @t21 (tptp.and_star @t5 @t1)))) % 1.33/1.65 (assume @p16 (= @t22 tptp.falsehood)) % 1.33/1.65 (assume @p17 (not (= @t23 tptp.falsehood))) % 1.33/1.65 (step @p18 :rule symm :premises (@p16)) % 1.33/1.65 (step @p19 :rule symm :premises (@p17)) % 1.33/1.65 (step @p20 :rule instantiate :premises (@p11) :args ((@list tptp.x tptp.x))) % 1.33/1.65 (step @p21 :rule instantiate :premises (@p7) :args ((@list @t26 @t25))) % 1.33/1.65 (step @p22 :rule instantiate :premises (@p8) :args (@t27)) % 1.33/1.65 (step @p23 :rule instantiate :premises (@p10) :args (@t27)) % 1.33/1.65 (step @p24 :rule instantiate :premises (@p5) :args ((@list @t24 @t28))) % 1.33/1.65 (step @p25 :rule eq-symm :args (@t14 tptp.truth)) % 1.33/1.65 (step @p26 :rule cong :premises (@p25) :args (@t15)) % 1.33/1.65 (step @p27 :rule eq_resolve :premises (@p4 @p26)) % 1.33/1.65 (step @p28 :rule instantiate :premises (@p27) :args ((@list tptp.truth tptp.truth))) % 1.33/1.65 (step @p29 :rule eq-symm :args (@t2 @t1)) % 1.33/1.65 (step @p30 :rule cong :premises (@p29) :args (@t3)) % 1.33/1.65 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 1.33/1.65 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.truth))) % 1.33/1.65 (step @p33 :rule eq-symm :args (@t29 @t30)) % 1.33/1.65 (step @p34 :rule refl :args (@t17)) % 1.33/1.65 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t17 @t31))) % 1.33/1.65 (assume-push @p220 @t17) % 1.33/1.65 (step @p37 :rule instantiate :premises (@p5) :args (@t32)) % 1.33/1.65 (step-pop @p221 :rule scope :premises (@p37)) % 1.33/1.65 (step @p38 :rule process_scope :premises (@p221) :args (@t31)) % 1.33/1.65 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 1.33/1.65 (step @p41 :rule implies_elim :premises (@p40)) % 1.33/1.65 (step @p42 :rule chain_m_resolution :premises (@p41 @p5) :args (@t33 @t34 @t35)) % 1.33/1.65 (step @p43 :rule instantiate :premises (@p8) :args (@t32)) % 1.33/1.65 (step @p44 :rule instantiate :premises (@p27) :args ((@list @t36 @t36))) % 1.33/1.65 (step @p45 :rule instantiate :premises (@p5) :args (@t38)) % 1.33/1.65 (step @p46 :rule instantiate :premises (@p5) :args (@t40)) % 1.33/1.65 (step @p47 :rule instantiate :premises (@p5) :args ((@list @t37 @t22))) % 1.33/1.65 (step @p48 :rule instantiate :premises (@p5) :args ((@list @t39 @t36))) % 1.33/1.65 (step @p49 :rule instantiate :premises (@p7) :args (@t32)) % 1.33/1.65 (step @p50 :rule instantiate :premises (@p7) :args (@t38)) % 1.33/1.65 (step @p51 :rule instantiate :premises (@p7) :args (@t40)) % 1.33/1.65 (step @p52 :rule instantiate :premises (@p31) :args ((@list @t26))) % 1.33/1.65 (step @p53 :rule eq-symm :args (@t7 tptp.truth)) % 1.33/1.65 (step @p54 :rule cong :premises (@p53) :args (@t9)) % 1.33/1.65 (step @p55 :rule eq_resolve :premises (@p2 @p54)) % 1.33/1.65 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t36 @t41 @t36))) % 1.33/1.65 (step @p57 :rule instantiate :premises (@p27) :args ((@list @t37 tptp.truth))) % 1.33/1.65 (step @p58 :rule instantiate :premises (@p5) :args ((@list @t22 tptp.truth))) % 1.33/1.65 (step @p59 :rule instantiate :premises (@p5) :args (@t42)) % 1.33/1.65 (step @p60 :rule instantiate :premises (@p5) :args ((@list @t28 @t22))) % 1.33/1.65 (step @p61 :rule instantiate :premises (@p7) :args (@t42)) % 1.33/1.65 (step @p62 :rule instantiate :premises (@p31) :args ((@list @t37))) % 1.33/1.65 (step @p63 :rule instantiate :premises (@p3) :args ((@list @t37 @t43))) % 1.33/1.65 (step @p64 :rule instantiate :premises (@p27) :args ((@list @t28 tptp.truth))) % 1.33/1.65 (step @p65 :rule eq-symm :args (@t47 @t48)) % 1.33/1.65 (step @p66 :rule cong :premises (@p34 @p65) :args ((=> @t17 @t49))) % 1.33/1.65 (assume-push @p222 @t17) % 1.33/1.65 (step @p68 :rule instantiate :premises (@p5) :args ((@list @t46 @t45))) % 1.33/1.65 (step-pop @p223 :rule scope :premises (@p68)) % 1.33/1.65 (step @p69 :rule process_scope :premises (@p223) :args (@t49)) % 1.33/1.65 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 1.33/1.65 (step @p72 :rule implies_elim :premises (@p71)) % 1.33/1.65 (step @p73 :rule chain_m_resolution :premises (@p72 @p5) :args (@t50 @t34 @t35)) % 1.33/1.65 (step @p74 :rule instantiate :premises (@p7) :args ((@list @t26 @t22))) % 1.33/1.65 (step @p75 :rule instantiate :premises (@p31) :args ((@list @t28))) % 1.33/1.65 (assume-push @p224 @t51) % 1.33/1.65 (assume-push @p225 @t53) % 1.33/1.65 (assume-push @p226 @t54) % 1.33/1.65 (assume-push @p227 @t55) % 1.33/1.65 (assume-push @p228 @t56) % 1.33/1.65 (assume-push @p229 @t57) % 1.33/1.65 (assume-push @p230 @t59) % 1.33/1.65 (assume-push @p231 @t60) % 1.33/1.65 (assume-push @p232 @t33) % 1.33/1.65 (assume-push @p233 @t63) % 1.33/1.65 (assume-push @p234 @t67) % 1.33/1.65 (assume-push @p235 @t69) % 1.33/1.65 (assume-push @p236 @t71) % 1.33/1.65 (assume-push @p237 @t74) % 1.33/1.65 (assume-push @p238 @t77) % 1.33/1.65 (assume-push @p239 @t79) % 1.33/1.65 (assume-push @p240 @t80) % 1.33/1.65 (assume-push @p241 @t81) % 1.33/1.65 (assume-push @p242 @t83) % 1.33/1.65 (assume-push @p243 @t85) % 1.33/1.65 (assume-push @p244 @t87) % 1.33/1.65 (assume-push @p245 @t89) % 1.33/1.65 (assume-push @p246 @t92) % 1.33/1.65 (assume-push @p247 @t95) % 1.33/1.65 (assume-push @p248 @t96) % 1.33/1.65 (assume-push @p249 @t97) % 1.33/1.65 (assume-push @p250 @t100) % 1.33/1.65 (assume-push @p251 @t103) % 1.33/1.65 (assume-push @p252 @t50) % 1.33/1.65 (assume-push @p253 @t105) % 1.33/1.65 (assume-push @p254 @t106) % 1.33/1.65 (step @p107 :rule symm :premises (@p20)) % 1.33/1.65 (step @p108 :rule symm :premises (@p21)) % 1.33/1.65 (step @p109 :rule refl :args (@t26)) % 1.33/1.65 (step @p110 :rule cong :premises (@p23 @p109) :args ((tptp.or @t26 @t26))) % 1.33/1.65 (step @p111 :rule symm :premises (@p22)) % 1.33/1.65 (step @p112 :rule symm :premises (@p24)) % 1.33/1.65 (step @p113 :rule symm :premises (@p75)) % 1.33/1.65 (step @p114 :rule refl :args (@t28)) % 1.33/1.65 (step @p115 :rule symm :premises (@p57)) % 1.33/1.65 (step @p116 :rule refl :args (@t86)) % 1.33/1.65 (step @p117 :rule trans :premises (@p50 @p47)) % 1.33/1.65 (step @p118 :rule symm :premises (@p45)) % 1.33/1.65 (step @p119 :rule trans :premises (@p118 @p117)) % 1.33/1.65 (step @p120 :rule cong :premises (@p119 @p116) :args ((tptp.implies @t68 @t86))) % 1.33/1.65 (step @p121 :rule refl :args (@t37)) % 1.33/1.65 (step @p122 :rule symm :premises (@p62)) % 1.33/1.65 (step @p123 :rule symm :premises (@p32)) % 1.33/1.65 (step @p124 :rule cong :premises (@p123 @p121) :args (@t98)) % 1.33/1.65 (step @p125 :rule trans :premises (@p124 @p122)) % 1.33/1.65 (step @p126 :rule cong :premises (@p125 @p121) :args (@t99)) % 1.33/1.65 (step @p127 :rule symm :premises (@p56)) % 1.33/1.65 (step @p128 :rule refl :args (@t64)) % 1.33/1.65 (step @p129 :rule trans :premises (@p51 @p48)) % 1.33/1.65 (step @p130 :rule symm :premises (@p46)) % 1.33/1.65 (step @p131 :rule trans :premises (@p130 @p129)) % 1.33/1.65 (step @p132 :rule cong :premises (@p131 @p128) :args (@t66)) % 1.33/1.65 (step @p133 :rule trans :premises (@p44 @p132)) % 1.33/1.65 (step @p134 :rule refl :args (@t84)) % 1.33/1.65 (step @p135 :rule cong :premises (@p134 @p133) :args (@t107)) % 1.33/1.65 (step @p136 :rule trans :premises (@p135 @p127 @p32)) % 1.33/1.65 (step @p137 :rule cong :premises (@p121 @p32) :args (@t88)) % 1.33/1.65 (step @p138 :rule cong :premises (@p137 @p136) :args ((tptp.implies @t88 @t107))) % 1.33/1.65 (step @p139 :rule symm :premises (@p136)) % 1.33/1.65 (step @p37 :rule instantiate :premises (@p5) :args (@t32)) % 1.33/1.65 (step @p140 :rule symm :premises (@p49)) % 1.33/1.65 (step @p141 :rule symm :premises (@p58)) % 1.33/1.65 (step @p142 :rule trans :premises (@p141 @p140 @p37)) % 1.33/1.65 (step @p143 :rule symm :premises (@p142)) % 1.33/1.65 (step @p144 :rule cong :premises (@p143 @p139) :args (@t58)) % 1.33/1.65 (step @p145 :rule trans :premises (@p28 @p144 @p138 @p63 @p126 @p118)) % 1.33/1.65 (step @p146 :rule trans :premises (@p123 @p145 @p45)) % 1.33/1.65 (step @p147 :rule cong :premises (@p146 @p62) :args (@t98)) % 1.33/1.65 (step @p148 :rule trans :premises (@p147 @p120 @p115)) % 1.33/1.65 (step @p149 :rule symm :premises (@p124)) % 1.33/1.65 (step @p150 :rule trans :premises (@p62 @p149 @p148)) % 1.33/1.65 (step @p151 :rule cong :premises (@p150 @p114) :args (@t90)) % 1.33/1.65 (step @p152 :rule trans :premises (@p59 @p151 @p113)) % 1.33/1.65 (step @p153 :rule cong :premises (@p152 @p152) :args ((tptp.implies @t91 @t91))) % 1.33/1.65 (step @p154 :rule symm :premises (@p59)) % 1.33/1.65 (step @p155 :rule symm :premises (@p151)) % 1.33/1.65 (step @p156 :rule trans :premises (@p155 @p154)) % 1.33/1.65 (step @p157 :rule symm :premises (@p61)) % 1.33/1.65 (step @p158 :rule symm :premises (@p60)) % 1.33/1.65 (step @p159 :rule trans :premises (@p158 @p157)) % 1.33/1.65 (step @p160 :rule cong :premises (@p159 @p156) :args (@t102)) % 1.33/1.65 (step @p161 :rule trans :premises (@p64 @p160 @p153 @p112)) % 1.33/1.65 (step @p162 :rule cong :premises (@p161) :args (@t22)) % 1.33/1.65 (step @p163 :rule trans :premises (@p162 @p111)) % 1.33/1.65 (step @p164 :rule cong :premises (@p111 @p163) :args ((tptp.or @t45 @t22))) % 1.33/1.65 (step @p165 :rule refl :args (@t22)) % 1.33/1.65 (step @p166 :rule cong :premises (@p22 @p165) :args (@t104)) % 1.33/1.65 (step @p167 :rule symm :premises (@p74)) % 1.33/1.65 (step @p168 :rule symm :premises (@p145)) % 1.33/1.65 (step @p169 :rule cong :premises (@p168) :args (@t62)) % 1.33/1.65 (step @p170 :rule trans :premises (@p43 @p169)) % 1.33/1.65 (step @p171 :rule cong :premises (@p170 @p111) :args (@t47)) % 1.33/1.65 (step @p172 :rule symm :premises (@p43)) % 1.33/1.65 (step @p173 :rule cong :premises (@p172) :args ((tptp.not @t62))) % 1.33/1.65 (step @p174 :rule symm :premises (@p173)) % 1.33/1.65 (step @p175 :rule symm :premises (@p170)) % 1.33/1.65 (step @p176 :rule cong :premises (@p175) :args (@t37)) % 1.33/1.65 (step @p177 :rule symm :premises (@p147)) % 1.33/1.65 (step @p178 :rule symm :premises (@p120)) % 1.33/1.65 (step @p179 :rule trans :premises (@p57 @p178 @p177 @p124 @p122 @p176 @p174)) % 1.33/1.65 (step @p180 :rule trans :premises (@p179 @p173)) % 1.33/1.65 (step @p181 :rule cong :premises (@p180 @p22) :args (@t82)) % 1.33/1.65 (step @p182 :rule trans :premises (@p18 @p162 @p111 @p52 @p181 @p73 @p171 @p167 @p166 @p164 @p110 @p108 @p107)) % 1.33/1.65 (step-pop @p255 :rule scope :premises (@p182)) % 1.33/1.65 (step-pop @p256 :rule scope :premises (@p255)) % 1.33/1.65 (step-pop @p257 :rule scope :premises (@p256)) % 1.33/1.65 (step-pop @p258 :rule scope :premises (@p257)) % 1.33/1.65 (step-pop @p259 :rule scope :premises (@p258)) % 1.33/1.65 (step-pop @p260 :rule scope :premises (@p259)) % 1.33/1.65 (step-pop @p261 :rule scope :premises (@p260)) % 1.33/1.65 (step-pop @p262 :rule scope :premises (@p261)) % 1.33/1.65 (step-pop @p263 :rule scope :premises (@p262)) % 1.33/1.65 (step-pop @p264 :rule scope :premises (@p263)) % 1.33/1.65 (step-pop @p265 :rule scope :premises (@p264)) % 1.33/1.65 (step-pop @p266 :rule scope :premises (@p265)) % 1.33/1.65 (step-pop @p267 :rule scope :premises (@p266)) % 1.33/1.65 (step-pop @p268 :rule scope :premises (@p267)) % 1.33/1.65 (step-pop @p269 :rule scope :premises (@p268)) % 1.33/1.65 (step-pop @p270 :rule scope :premises (@p269)) % 1.33/1.65 (step-pop @p271 :rule scope :premises (@p270)) % 1.33/1.65 (step-pop @p272 :rule scope :premises (@p271)) % 1.33/1.65 (step-pop @p273 :rule scope :premises (@p272)) % 1.33/1.65 (step-pop @p274 :rule scope :premises (@p273)) % 1.33/1.65 (step-pop @p275 :rule scope :premises (@p274)) % 1.33/1.65 (step-pop @p276 :rule scope :premises (@p275)) % 1.33/1.65 (step-pop @p277 :rule scope :premises (@p276)) % 1.33/1.65 (step-pop @p278 :rule scope :premises (@p277)) % 1.33/1.65 (step-pop @p279 :rule scope :premises (@p278)) % 1.33/1.65 (step-pop @p280 :rule scope :premises (@p279)) % 1.33/1.65 (step-pop @p281 :rule scope :premises (@p280)) % 1.33/1.65 (step-pop @p282 :rule scope :premises (@p281)) % 1.33/1.65 (step-pop @p283 :rule scope :premises (@p282)) % 1.33/1.65 (step-pop @p284 :rule scope :premises (@p283)) % 1.33/1.65 (step-pop @p285 :rule scope :premises (@p284)) % 1.33/1.65 (step @p183 :rule process_scope :premises (@p285) :args (@t108)) % 1.33/1.65 (step @p215 :rule implies_elim :premises (@p183)) % 1.33/1.65 (step @p216 :rule cnf_and_neg :args (@t109)) % 1.33/1.65 (step @p217 :rule resolution :premises (@p216 @p215) :args (true @t109)) % 1.33/1.65 (step @p218 :rule reordering :premises (@p217) :args ((or @t108 (not @t51) (not @t53) (not @t54) (not @t55) (not @t56) (not @t57) (not @t59) (not @t60) (not @t33) (not @t63) (not @t67) (not @t69) (not @t71) (not @t74) (not @t77) (not @t79) (not @t80) (not @t81) (not @t83) (not @t85) (not @t87) (not @t89) (not @t92) (not @t95) (not @t96) (not @t97) (not @t100) (not @t103) (not @t50) (not @t105) (not @t106)))) % 1.33/1.65 (step @p219 false :rule chain_m_resolution :premises (@p218 @p75 @p74 @p73 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p32 @p28 @p24 @p23 @p22 @p21 @p20 @p19 @p18) :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 true false) (@list @t106 @t105 @t50 @t103 @t100 @t97 @t96 @t95 @t92 @t89 @t87 @t85 @t83 @t81 @t80 @t79 @t77 @t74 @t71 @t69 @t67 @t63 @t33 @t60 @t59 @t57 @t56 @t55 @t54 @t53 @t108 @t51))) % 1.33/1.65 ) % 1.33/1.66 % SZS output end Proof % 1.33/1.66 % cvc5 exiting %------------------------------------------------------------------------------