%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP711+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:21:22 AM UTC 2026 % Result : Theorem 28.24s 28.46s % Output : Proof 28.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP711+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:54:32 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 28.24/28.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.24/28.46 --- Run --no-e-matching --full-saturate-quant at 6... % 28.24/28.46 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.24/28.46 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.24/28.46 % SZS status Theorem % 28.24/28.46 % SZS output start Proof % 28.24/28.46 ( % 28.24/28.46 (declare-sort $$unsorted 0) % 28.24/28.46 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 28.24/28.46 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 28.24/28.46 (declare-const tptp.unit $$unsorted) % 28.24/28.46 (define @t1 () (@var "A" $$unsorted)) % 28.24/28.46 (define @t2 () (tptp.mult @t1 tptp.unit)) % 28.24/28.46 (define @t3 () (@list @t1)) % 28.24/28.46 (define @t4 () (forall @t3 (= @t2 @t1))) % 28.24/28.46 (define @t5 () (tptp.mult tptp.unit @t1)) % 28.24/28.46 (define @t6 () (forall @t3 (= @t5 @t1))) % 28.24/28.46 (define @t7 () (@var "C" $$unsorted)) % 28.24/28.46 (define @t8 () (@var "B" $$unsorted)) % 28.24/28.46 (define @t9 () (forall (@list @t7 @t8 @t1) (= (tptp.mult @t1 (tptp.mult @t8 (tptp.mult @t8 @t7))) (tptp.mult (tptp.mult (tptp.mult @t1 @t8) @t8) @t7)))) % 28.24/28.46 (define @t10 () (tptp.i @t1)) % 28.24/28.46 (define @t11 () (tptp.mult @t1 @t10)) % 28.24/28.46 (define @t12 () (forall @t3 (= @t11 tptp.unit))) % 28.24/28.46 (define @t13 () (tptp.mult @t10 @t1)) % 28.24/28.46 (define @t14 () (forall @t3 (= @t13 tptp.unit))) % 28.24/28.46 (define @t15 () (@var "X8" $$unsorted)) % 28.24/28.46 (define @t16 () (@var "X7" $$unsorted)) % 28.24/28.46 (define @t17 () (= @t16 @t15)) % 28.24/28.46 (define @t18 () (@var "X6" $$unsorted)) % 28.24/28.46 (define @t19 () (= (tptp.mult @t16 @t18) (tptp.mult @t15 @t18))) % 28.24/28.46 (define @t20 () (= (tptp.mult @t18 @t16) (tptp.mult @t18 @t15))) % 28.24/28.46 (define @t21 () (and (=> @t20 @t17) (=> @t19 @t17))) % 28.24/28.46 (define @t22 () (@list @t18 @t16 @t15)) % 28.24/28.46 (define @t23 () (forall @t22 @t21)) % 28.24/28.46 (define @t24 () (not @t23)) % 28.24/28.46 (define @t25 () (@var "BOUND_VARIABLE_7476" $$unsorted)) % 28.24/28.46 (define @t26 () (@var "BOUND_VARIABLE_7474" $$unsorted)) % 28.24/28.46 (define @t27 () (@var "BOUND_VARIABLE_7472" $$unsorted)) % 28.24/28.46 (define @t28 () (forall (@list @t27 @t26 @t25) (or (not (= (tptp.mult @t27 @t26) (tptp.mult @t27 @t25))) (= @t26 @t25)))) % 28.24/28.46 (define @t29 () (@quantifiers_skolemize @t28 2)) % 28.24/28.46 (define @t30 () (@quantifiers_skolemize @t28 0)) % 28.24/28.46 (define @t31 () (tptp.mult @t30 @t29)) % 28.24/28.46 (define @t32 () (@quantifiers_skolemize @t28 1)) % 28.24/28.46 (define @t33 () (tptp.mult @t30 @t32)) % 28.24/28.46 (define @t34 () (= @t33 @t31)) % 28.24/28.46 (define @t35 () (= @t32 @t29)) % 28.24/28.46 (define @t36 () (not @t34)) % 28.24/28.46 (define @t37 () (or @t36 @t35)) % 28.24/28.46 (define @t38 () (tptp.i @t30)) % 28.24/28.46 (define @t39 () (@list @t38)) % 28.24/28.46 (define @t40 () (tptp.mult @t38 @t30)) % 28.24/28.46 (define @t41 () (tptp.mult @t38 @t40)) % 28.24/28.46 (define @t42 () (tptp.mult tptp.unit @t41)) % 28.24/28.46 (define @t43 () (tptp.mult tptp.unit @t38)) % 28.24/28.46 (define @t44 () (tptp.mult @t43 @t38)) % 28.24/28.46 (define @t45 () (tptp.mult @t44 @t30)) % 28.24/28.46 (define @t46 () (= @t42 @t45)) % 28.24/28.46 (define @t47 () (= @t45 @t42)) % 28.24/28.46 (define @t48 () (@list false)) % 28.24/28.46 (define @t49 () (= tptp.unit @t40)) % 28.24/28.46 (define @t50 () (tptp.mult tptp.unit @t32)) % 28.24/28.46 (define @t51 () (= @t32 @t50)) % 28.24/28.46 (define @t52 () (= @t38 @t43)) % 28.24/28.46 (define @t53 () (= @t38 (tptp.mult @t38 tptp.unit))) % 28.24/28.46 (define @t54 () (tptp.mult @t45 @t30)) % 28.24/28.46 (define @t55 () (tptp.mult @t30 @t33)) % 28.24/28.46 (define @t56 () (tptp.mult @t44 @t55)) % 28.24/28.46 (define @t57 () (= @t56 (tptp.mult @t54 @t32))) % 28.24/28.46 (define @t58 () (= @t29 (tptp.mult tptp.unit @t29))) % 28.24/28.46 (define @t59 () (tptp.mult @t54 @t29)) % 28.24/28.46 (define @t60 () (= (tptp.mult @t44 (tptp.mult @t30 @t31)) @t59)) % 28.24/28.46 (define @t61 () (and @t34 @t49 @t51 @t52 @t53 @t47 @t57 @t58 @t60)) % 28.24/28.46 (define @t62 () (@list false false false false false false false false true false)) % 28.24/28.46 (define @t63 () (not @t37)) % 28.24/28.46 (define @t64 () (not @t28)) % 28.24/28.46 (define @t65 () (or (not @t19) @t17)) % 28.24/28.46 (define @t66 () (forall @t22 @t65)) % 28.24/28.46 (define @t67 () (@list @t18 @t16 @t15)) % 28.24/28.46 (define @t68 () (@var "BOUND_VARIABLE_7490" $$unsorted)) % 28.24/28.46 (define @t69 () (@var "BOUND_VARIABLE_7488" $$unsorted)) % 28.24/28.46 (define @t70 () (@var "BOUND_VARIABLE_7486" $$unsorted)) % 28.24/28.46 (define @t71 () (or (not @t20) @t17)) % 28.24/28.46 (define @t72 () (forall @t22 @t71)) % 28.24/28.46 (define @t73 () (and @t72 @t66)) % 28.24/28.46 (define @t74 () (forall (@list @t70 @t69 @t68) (or (not (= (tptp.mult @t69 @t70) (tptp.mult @t68 @t70))) (= @t69 @t68)))) % 28.24/28.46 (define @t75 () (not @t74)) % 28.24/28.46 (define @t76 () (@quantifiers_skolemize @t74 2)) % 28.24/28.46 (define @t77 () (@quantifiers_skolemize @t74 1)) % 28.24/28.46 (define @t78 () (= @t77 @t76)) % 28.24/28.46 (define @t79 () (@quantifiers_skolemize @t74 0)) % 28.24/28.46 (define @t80 () (tptp.mult @t76 @t79)) % 28.24/28.46 (define @t81 () (tptp.mult @t77 @t79)) % 28.24/28.46 (define @t82 () (= @t81 @t80)) % 28.24/28.46 (define @t83 () (not @t82)) % 28.24/28.46 (define @t84 () (or @t83 @t78)) % 28.24/28.46 (define @t85 () (not @t84)) % 28.24/28.46 (define @t86 () (@list true)) % 28.24/28.46 (define @t87 () (@list @t84)) % 28.24/28.46 (define @t88 () (not @t78)) % 28.24/28.46 (define @t89 () (tptp.i @t79)) % 28.24/28.46 (define @t90 () (tptp.mult @t89 tptp.unit)) % 28.24/28.46 (define @t91 () (tptp.mult @t89 @t90)) % 28.24/28.46 (define @t92 () (tptp.mult @t80 @t79)) % 28.24/28.46 (define @t93 () (tptp.mult @t92 @t91)) % 28.24/28.46 (define @t94 () (tptp.mult @t79 @t91)) % 28.24/28.46 (define @t95 () (tptp.mult @t79 @t94)) % 28.24/28.46 (define @t96 () (tptp.mult @t76 @t95)) % 28.24/28.46 (define @t97 () (= @t96 @t93)) % 28.24/28.46 (define @t98 () (not @t97)) % 28.24/28.46 (define @t99 () (tptp.mult @t77 @t95)) % 28.24/28.46 (define @t100 () (= @t99 (tptp.mult (tptp.mult @t81 @t79) @t91))) % 28.24/28.46 (define @t101 () (not @t100)) % 28.24/28.46 (define @t102 () (tptp.mult @t79 @t89)) % 28.24/28.46 (define @t103 () (tptp.mult @t102 @t89)) % 28.24/28.46 (define @t104 () (tptp.mult @t103 tptp.unit)) % 28.24/28.46 (define @t105 () (= @t94 @t104)) % 28.24/28.46 (define @t106 () (not @t105)) % 28.24/28.46 (define @t107 () (= @t90 (tptp.mult tptp.unit @t90))) % 28.24/28.46 (define @t108 () (not @t107)) % 28.24/28.46 (define @t109 () (= @t89 @t90)) % 28.24/28.46 (define @t110 () (not @t109)) % 28.24/28.46 (define @t111 () (= tptp.unit @t102)) % 28.24/28.46 (define @t112 () (not @t111)) % 28.24/28.46 (define @t113 () (= @t76 (tptp.mult @t76 tptp.unit))) % 28.24/28.46 (define @t114 () (not @t113)) % 28.24/28.46 (define @t115 () (= @t77 (tptp.mult @t77 tptp.unit))) % 28.24/28.46 (define @t116 () (not @t115)) % 28.24/28.46 (define @t117 () (= @t93 @t96)) % 28.24/28.46 (define @t118 () (and @t97 @t98)) % 28.24/28.46 (assume @p1 @t4) % 28.24/28.46 (assume @p2 @t6) % 28.24/28.46 (assume @p3 @t9) % 28.24/28.46 (assume @p4 @t12) % 28.24/28.46 (assume @p5 @t14) % 28.24/28.46 (assume @p6 @t24) % 28.24/28.46 (assume @p7 true) % 28.24/28.46 (step @p8 :rule bool-double-not-elim :args (@t34)) % 28.24/28.46 (step @p9 :rule refl :args (@t37)) % 28.24/28.46 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or @t37 (not @t36)))) % 28.24/28.46 (step @p11 :rule cnf_or_neg :args (@t37 0)) % 28.24/28.46 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 28.24/28.46 (step @p13 :rule reordering :premises (@p12) :args ((or @t34 @t37))) % 28.24/28.46 (step @p14 :rule cnf_or_neg :args (@t37 1)) % 28.24/28.46 (step @p15 :rule eq-symm :args (@t13 tptp.unit)) % 28.24/28.46 (step @p16 :rule cong :premises (@p15) :args (@t14)) % 28.24/28.46 (step @p17 :rule eq_resolve :premises (@p5 @p16)) % 28.24/28.46 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t30))) % 28.24/28.46 (step @p19 :rule eq-symm :args (@t5 @t1)) % 28.24/28.46 (step @p20 :rule cong :premises (@p19) :args (@t6)) % 28.24/28.46 (step @p21 :rule eq_resolve :premises (@p2 @p20)) % 28.24/28.46 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t32))) % 28.24/28.46 (step @p23 :rule instantiate :premises (@p21) :args (@t39)) % 28.24/28.46 (step @p24 :rule eq-symm :args (@t2 @t1)) % 28.24/28.46 (step @p25 :rule cong :premises (@p24) :args (@t4)) % 28.24/28.46 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 28.24/28.46 (step @p27 :rule instantiate :premises (@p26) :args (@t39)) % 28.24/28.46 (step @p28 :rule eq-symm :args (@t42 @t45)) % 28.24/28.46 (step @p29 :rule refl :args (@t9)) % 28.24/28.46 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t9 @t46))) % 28.24/28.46 (assume-push @p268 @t9) % 28.24/28.46 (step @p32 :rule instantiate :premises (@p3) :args ((@list @t30 @t38 tptp.unit))) % 28.24/28.46 (step-pop @p269 :rule scope :premises (@p32)) % 28.24/28.46 (step @p33 :rule process_scope :premises (@p269) :args (@t46)) % 28.24/28.46 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 28.24/28.46 (step @p36 :rule implies_elim :premises (@p35)) % 28.24/28.46 (step @p37 :rule chain_m_resolution :premises (@p36 @p3) :args (@t47 @t48 (@list @t9))) % 28.24/28.46 (step @p38 :rule instantiate :premises (@p3) :args ((@list @t32 @t30 @t44))) % 28.24/28.46 (step @p39 :rule instantiate :premises (@p21) :args ((@list @t29))) % 28.24/28.46 (step @p40 :rule instantiate :premises (@p3) :args ((@list @t29 @t30 @t44))) % 28.24/28.46 (assume-push @p270 @t34) % 28.24/28.46 (assume-push @p271 @t49) % 28.24/28.46 (assume-push @p272 @t51) % 28.24/28.46 (assume-push @p273 @t52) % 28.24/28.46 (assume-push @p274 @t53) % 28.24/28.46 (assume-push @p275 @t47) % 28.24/28.46 (assume-push @p276 @t57) % 28.24/28.46 (assume-push @p277 @t58) % 28.24/28.46 (assume-push @p278 @t60) % 28.24/28.46 (assume-push @p279 @t58) % 28.24/28.46 (assume-push @p280 @t49) % 28.24/28.46 (assume-push @p281 @t52) % 28.24/28.46 (assume-push @p282 @t53) % 28.24/28.46 (assume-push @p283 @t47) % 28.24/28.46 (assume-push @p284 @t60) % 28.24/28.46 (assume-push @p285 @t34) % 28.24/28.46 (assume-push @p286 @t57) % 28.24/28.46 (assume-push @p287 @t51) % 28.24/28.46 (step @p59 :rule symm :premises (@p39)) % 28.24/28.46 (step @p60 :rule refl :args (@t29)) % 28.24/28.46 (step @p61 :rule symm :premises (@p18)) % 28.24/28.46 (step @p62 :rule refl :args (@t30)) % 28.24/28.46 (step @p63 :rule symm :premises (@p23)) % 28.24/28.46 (step @p64 :rule symm :premises (@p27)) % 28.24/28.46 (step @p65 :rule refl :args (@t38)) % 28.24/28.46 (step @p66 :rule cong :premises (@p65 @p61) :args (@t41)) % 28.24/28.46 (step @p67 :rule trans :premises (@p66 @p64)) % 28.24/28.46 (step @p68 :rule refl :args (tptp.unit)) % 28.24/28.46 (step @p69 :rule cong :premises (@p68 @p67) :args (@t42)) % 28.24/28.46 (step @p70 :rule trans :premises (@p37 @p69 @p63)) % 28.24/28.46 (step @p71 :rule cong :premises (@p70 @p62) :args (@t54)) % 28.24/28.46 (step @p72 :rule trans :premises (@p71 @p61)) % 28.24/28.46 (step @p73 :rule cong :premises (@p72 @p60) :args (@t59)) % 28.24/28.46 (step @p74 :rule cong :premises (@p62 @p270) :args (@t55)) % 28.24/28.46 (step @p75 :rule refl :args (@t44)) % 28.24/28.46 (step @p76 :rule cong :premises (@p75 @p74) :args (@t56)) % 28.24/28.46 (step @p77 :rule symm :premises (@p38)) % 28.24/28.46 (step @p78 :rule refl :args (@t32)) % 28.24/28.46 (step @p79 :rule symm :premises (@p72)) % 28.24/28.46 (step @p80 :rule cong :premises (@p79 @p78) :args (@t50)) % 28.24/28.46 (step @p81 :rule trans :premises (@p22 @p80 @p77 @p76 @p40 @p73 @p59)) % 28.24/28.46 (step-pop @p288 :rule scope :premises (@p81)) % 28.24/28.46 (step-pop @p289 :rule scope :premises (@p288)) % 28.24/28.46 (step-pop @p290 :rule scope :premises (@p289)) % 28.24/28.46 (step-pop @p291 :rule scope :premises (@p290)) % 28.24/28.46 (step-pop @p292 :rule scope :premises (@p291)) % 28.24/28.46 (step-pop @p293 :rule scope :premises (@p292)) % 28.24/28.46 (step-pop @p294 :rule scope :premises (@p293)) % 28.24/28.46 (step-pop @p295 :rule scope :premises (@p294)) % 28.24/28.46 (step-pop @p296 :rule scope :premises (@p295)) % 28.24/28.46 (step @p82 :rule process_scope :premises (@p296) :args (@t35)) % 28.24/28.46 (step @p92 :rule and_intro :premises (@p39 @p18 @p23 @p27 @p37 @p40 @p270 @p38 @p22)) % 28.24/28.46 (step @p93 :rule modus_ponens :premises (@p92 @p82)) % 28.24/28.46 (step-pop @p297 :rule scope :premises (@p93)) % 28.24/28.46 (step-pop @p298 :rule scope :premises (@p297)) % 28.24/28.46 (step-pop @p299 :rule scope :premises (@p298)) % 28.24/28.46 (step-pop @p300 :rule scope :premises (@p299)) % 28.24/28.46 (step-pop @p301 :rule scope :premises (@p300)) % 28.24/28.46 (step-pop @p302 :rule scope :premises (@p301)) % 28.24/28.46 (step-pop @p303 :rule scope :premises (@p302)) % 28.24/28.46 (step-pop @p304 :rule scope :premises (@p303)) % 28.24/28.46 (step-pop @p305 :rule scope :premises (@p304)) % 28.24/28.46 (step @p94 :rule process_scope :premises (@p305) :args (@t35)) % 28.24/28.46 (step @p104 :rule implies_elim :premises (@p94)) % 28.24/28.46 (step @p105 :rule cnf_and_neg :args (@t61)) % 28.24/28.46 (step @p106 :rule resolution :premises (@p105 @p104) :args (true @t61)) % 28.24/28.46 (step @p107 :rule reordering :premises (@p106) :args ((or @t36 @t35 (not @t49) (not @t51) (not @t52) (not @t53) (not @t47) (not @t57) (not @t58) (not @t60)))) % 28.24/28.46 (step @p108 :rule chain_m_resolution :premises (@p107 @p40 @p39 @p38 @p37 @p27 @p23 @p22 @p18 @p14 @p13) :args (@t37 @t62 (@list @t60 @t58 @t57 @t47 @t53 @t52 @t51 @t49 @t35 @t34))) % 28.24/28.46 (step @p109 :rule refl :args (@t63)) % 28.24/28.46 (step @p110 :rule bool-double-not-elim :args (@t28)) % 28.24/28.46 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or (not @t64) @t63))) % 28.24/28.46 (assume-push @p306 @t64) % 28.24/28.46 (step @p113 :rule skolemize :premises (@p306)) % 28.24/28.46 (step-pop @p307 :rule scope :premises (@p113)) % 28.24/28.46 (step @p114 :rule process_scope :premises (@p307) :args (@t63)) % 28.24/28.46 (step @p116 :rule implies_elim :premises (@p114)) % 28.24/28.46 (step @p117 :rule eq_resolve :premises (@p116 @p111)) % 28.24/28.46 (step @p118 :rule chain_m_resolution :premises (@p117 @p108) :args (@t28 @t48 (@list @t37))) % 28.24/28.46 (step @p119 :rule alpha_equiv :args (@t66 @t67 (@list @t70 @t69 @t68))) % 28.24/28.46 (step @p120 :rule alpha_equiv :args (@t72 @t67 (@list @t27 @t26 @t25))) % 28.24/28.46 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t73)) % 28.24/28.46 (step @p122 :rule quant-miniscope-and :args ((= (forall @t22 (and @t71 @t65)) @t73))) % 28.24/28.46 (step @p123 :rule trans :premises (@p122 @p121)) % 28.24/28.46 (step @p124 :rule bool-impl-elim :args (@t19 @t17)) % 28.24/28.46 (step @p125 :rule bool-impl-elim :args (@t20 @t17)) % 28.24/28.46 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t21)) % 28.24/28.46 (step @p127 :rule cong :premises (@p126) :args (@t23)) % 28.24/28.46 (step @p128 :rule trans :premises (@p127 @p123)) % 28.24/28.46 (step @p129 :rule cong :premises (@p128) :args (@t24)) % 28.24/28.46 (step @p130 :rule eq_resolve :premises (@p6 @p129)) % 28.24/28.46 (step @p131 :rule not_and :premises (@p130)) % 28.24/28.46 (step @p132 :rule chain_m_resolution :premises (@p131 @p118) :args (@t75 @t48 (@list @t28))) % 28.24/28.46 (step @p133 :rule refl :args (@t85)) % 28.24/28.46 (step @p134 :rule bool-double-not-elim :args (@t74)) % 28.24/28.46 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t75) @t85))) % 28.24/28.46 (assume-push @p308 @t75) % 28.24/28.46 (step @p137 :rule skolemize :premises (@p308)) % 28.24/28.46 (step-pop @p309 :rule scope :premises (@p137)) % 28.24/28.46 (step @p138 :rule process_scope :premises (@p309) :args (@t85)) % 28.24/28.46 (step @p140 :rule implies_elim :premises (@p138)) % 28.24/28.46 (step @p141 :rule eq_resolve :premises (@p140 @p135)) % 28.24/28.46 (step @p142 :rule chain_m_resolution :premises (@p141 @p132) :args (@t85 @t86 (@list @t74))) % 28.24/28.46 (step @p143 :rule bool-double-not-elim :args (@t82)) % 28.24/28.46 (step @p144 :rule refl :args (@t84)) % 28.24/28.46 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t84 (not @t83)))) % 28.24/28.46 (step @p146 :rule cnf_or_neg :args (@t84 0)) % 28.24/28.46 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 28.24/28.46 (step @p148 :rule reordering :premises (@p147) :args ((or @t82 @t84))) % 28.24/28.46 (step @p149 :rule chain_m_resolution :premises (@p148 @p142) :args (@t82 @t86 @t87)) % 28.24/28.46 (step @p150 :rule cnf_or_neg :args (@t84 1)) % 28.24/28.46 (step @p151 :rule chain_m_resolution :premises (@p150 @p142) :args (@t88 @t86 @t87)) % 28.24/28.46 (step @p152 :rule instantiate :premises (@p26) :args ((@list @t77))) % 28.24/28.46 (step @p153 :rule instantiate :premises (@p26) :args ((@list @t76))) % 28.24/28.46 (step @p154 :rule eq-symm :args (@t11 tptp.unit)) % 28.24/28.46 (step @p155 :rule cong :premises (@p154) :args (@t12)) % 28.24/28.46 (step @p156 :rule eq_resolve :premises (@p4 @p155)) % 28.24/28.46 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t79))) % 28.24/28.46 (step @p158 :rule instantiate :premises (@p26) :args ((@list @t89))) % 28.24/28.46 (step @p159 :rule instantiate :premises (@p21) :args ((@list @t90))) % 28.24/28.46 (step @p160 :rule instantiate :premises (@p3) :args ((@list tptp.unit @t89 @t79))) % 28.24/28.46 (step @p161 :rule instantiate :premises (@p3) :args ((@list @t91 @t79 @t77))) % 28.24/28.46 (step @p162 :rule instantiate :premises (@p3) :args ((@list @t91 @t79 @t76))) % 28.24/28.46 (step @p163 :rule refl :args (@t98)) % 28.24/28.46 (step @p164 :rule refl :args (@t101)) % 28.24/28.46 (step @p165 :rule refl :args (@t106)) % 28.24/28.46 (step @p166 :rule refl :args (@t108)) % 28.24/28.46 (step @p167 :rule refl :args (@t110)) % 28.24/28.46 (step @p168 :rule refl :args (@t112)) % 28.24/28.46 (step @p169 :rule refl :args (@t114)) % 28.24/28.46 (step @p170 :rule refl :args (@t116)) % 28.24/28.46 (step @p171 :rule bool-double-not-elim :args (@t78)) % 28.24/28.46 (step @p172 :rule refl :args (@t83)) % 28.24/28.46 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163) :args ((or @t83 (not @t88) @t116 @t114 @t112 @t110 @t108 @t106 @t101 @t98))) % 28.24/28.46 (assume-push @p310 @t97) % 28.24/28.46 (assume-push @p311 @t98) % 28.24/28.46 (step @p176 :rule evaluate :args ((= false true))) % 28.24/28.46 (step @p177 :rule true_intro :premises (@p162)) % 28.24/28.46 (step @p178 :rule false_intro :premises (@p311)) % 28.24/28.46 (step @p179 :rule symm :premises (@p178)) % 28.24/28.46 (step @p180 :rule trans :premises (@p179 @p177)) % 28.24/28.46 (step @p181 false :rule eq_resolve :premises (@p180 @p176)) % 28.24/28.46 (step-pop @p312 :rule scope :premises (@p181)) % 28.24/28.46 (step-pop @p313 :rule scope :premises (@p312)) % 28.24/28.46 (step @p182 :rule process_scope :premises (@p313) :args (false)) % 28.24/28.46 (assume-push @p314 @t82) % 28.24/28.46 (assume-push @p315 @t88) % 28.24/28.46 (assume-push @p316 @t115) % 28.24/28.46 (assume-push @p317 @t113) % 28.24/28.46 (assume-push @p318 @t111) % 28.24/28.46 (assume-push @p319 @t109) % 28.24/28.46 (assume-push @p320 @t107) % 28.24/28.46 (assume-push @p321 @t105) % 28.24/28.46 (assume-push @p322 @t100) % 28.24/28.46 (assume-push @p323 @t97) % 28.24/28.46 (assume-push @p324 @t115) % 28.24/28.46 (assume-push @p325 @t111) % 28.24/28.46 (assume-push @p326 @t109) % 28.24/28.46 (assume-push @p327 @t107) % 28.24/28.46 (assume-push @p328 @t105) % 28.24/28.46 (assume-push @p329 @t100) % 28.24/28.46 (assume-push @p330 @t82) % 28.24/28.46 (assume-push @p331 @t88) % 28.24/28.46 (assume-push @p332 @t113) % 28.24/28.46 (step @p204 :rule bool-eq-false :args (@t97)) % 28.24/28.46 (step @p205 :rule symm :premises (@p204)) % 28.24/28.46 (step @p206 :rule eq-symm :args (@t93 @t96)) % 28.24/28.46 (step @p207 :rule cong :premises (@p206) :args ((not @t117))) % 28.24/28.46 (step @p208 :rule bool-eq-false :args (@t117)) % 28.24/28.46 (step @p209 :rule trans :premises (@p208 @p207)) % 28.24/28.46 (step @p210 :rule trans :premises (@p209 @p205)) % 28.24/28.46 (step @p211 :rule false_intro :premises (@p315)) % 28.24/28.46 (step @p212 :rule symm :premises (@p153)) % 28.24/28.46 (step @p213 :rule symm :premises (@p157)) % 28.24/28.46 (step @p214 :rule symm :premises (@p158)) % 28.24/28.46 (step @p68 :rule refl :args (tptp.unit)) % 28.24/28.46 (step @p215 :rule symm :premises (@p159)) % 28.24/28.46 (step @p216 :rule cong :premises (@p213 @p158) :args (@t103)) % 28.24/28.46 (step @p217 :rule trans :premises (@p216 @p215 @p214)) % 28.24/28.46 (step @p218 :rule cong :premises (@p217 @p68) :args (@t104)) % 28.24/28.46 (step @p219 :rule trans :premises (@p160 @p218 @p214)) % 28.24/28.46 (step @p220 :rule refl :args (@t79)) % 28.24/28.46 (step @p221 :rule cong :premises (@p220 @p219) :args (@t95)) % 28.24/28.47 (step @p222 :rule trans :premises (@p221 @p213)) % 28.24/28.47 (step @p223 :rule refl :args (@t76)) % 28.24/28.47 (step @p224 :rule cong :premises (@p223 @p222) :args (@t96)) % 28.24/28.47 (step @p225 :rule trans :premises (@p224 @p212)) % 28.24/28.47 (step @p226 :rule symm :premises (@p152)) % 28.24/28.47 (step @p227 :rule refl :args (@t77)) % 28.24/28.47 (step @p228 :rule cong :premises (@p227 @p222) :args (@t99)) % 28.24/28.47 (step @p229 :rule symm :premises (@p161)) % 28.24/28.47 (step @p230 :rule refl :args (@t91)) % 28.24/28.47 (step @p231 :rule symm :premises (@p314)) % 28.24/28.47 (step @p232 :rule cong :premises (@p231 @p220) :args (@t92)) % 28.24/28.47 (step @p233 :rule cong :premises (@p232 @p230) :args (@t93)) % 28.24/28.47 (step @p234 :rule trans :premises (@p233 @p229 @p228 @p226)) % 28.24/28.47 (step @p235 :rule cong :premises (@p234 @p225) :args (@t117)) % 28.24/28.47 (step @p236 :rule trans :premises (@p235 @p211)) % 28.24/28.47 (step @p237 :rule eq_resolve :premises (@p236 @p210)) % 28.24/28.47 (step @p238 :rule false_elim :premises (@p237)) % 28.24/28.47 (step-pop @p333 :rule scope :premises (@p238)) % 28.24/28.47 (step-pop @p334 :rule scope :premises (@p333)) % 28.24/28.47 (step-pop @p335 :rule scope :premises (@p334)) % 28.24/28.47 (step-pop @p336 :rule scope :premises (@p335)) % 28.24/28.47 (step-pop @p337 :rule scope :premises (@p336)) % 28.24/28.47 (step-pop @p338 :rule scope :premises (@p337)) % 28.24/28.47 (step-pop @p339 :rule scope :premises (@p338)) % 28.24/28.47 (step-pop @p340 :rule scope :premises (@p339)) % 28.24/28.47 (step-pop @p341 :rule scope :premises (@p340)) % 28.24/28.47 (step @p239 :rule process_scope :premises (@p341) :args (@t98)) % 28.24/28.47 (step @p249 :rule and_intro :premises (@p152 @p157 @p158 @p159 @p160 @p161 @p314 @p315 @p153)) % 28.24/28.47 (step @p250 :rule modus_ponens :premises (@p249 @p239)) % 28.24/28.47 (step @p251 :rule and_intro :premises (@p162 @p250)) % 28.24/28.47 (step-pop @p342 :rule scope :premises (@p251)) % 28.24/28.47 (step-pop @p343 :rule scope :premises (@p342)) % 28.24/28.47 (step-pop @p344 :rule scope :premises (@p343)) % 28.24/28.47 (step-pop @p345 :rule scope :premises (@p344)) % 28.24/28.47 (step-pop @p346 :rule scope :premises (@p345)) % 28.24/28.47 (step-pop @p347 :rule scope :premises (@p346)) % 28.24/28.47 (step-pop @p348 :rule scope :premises (@p347)) % 28.24/28.47 (step-pop @p349 :rule scope :premises (@p348)) % 28.24/28.47 (step-pop @p350 :rule scope :premises (@p349)) % 28.24/28.47 (step-pop @p351 :rule scope :premises (@p350)) % 28.24/28.47 (step @p252 :rule process_scope :premises (@p351) :args (@t118)) % 28.24/28.47 (step @p263 :rule implies_elim :premises (@p252)) % 28.24/28.47 (step @p264 :rule resolution :premises (@p263 @p182) :args (true @t118)) % 28.24/28.47 (step @p265 :rule not_and :premises (@p264)) % 28.24/28.47 (step @p266 :rule eq_resolve :premises (@p265 @p173)) % 28.24/28.47 (step @p267 false :rule chain_m_resolution :premises (@p266 @p162 @p161 @p160 @p159 @p158 @p157 @p153 @p152 @p151 @p149) :args (false @t62 (@list @t97 @t100 @t105 @t107 @t109 @t111 @t113 @t115 @t78 @t82))) % 28.24/28.47 ) % 28.24/28.47 % SZS output end Proof % 28.24/28.47 % cvc5 exiting %------------------------------------------------------------------------------