%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP715+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 78.73s 78.92s % Output : Proof 78.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP715+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 % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:55:17 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 78.73/78.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 78.73/78.92 --- Run --no-e-matching --full-saturate-quant at 6... % 78.73/78.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 78.73/78.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 78.73/78.92 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 78.73/78.92 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.73/78.92 % SZS status Theorem % 78.73/78.92 % SZS output start Proof % 78.73/78.92 ( % 78.73/78.92 (declare-sort $$unsorted 0) % 78.73/78.92 (declare-const tptp.op_b $$unsorted) % 78.73/78.92 (declare-const tptp.unit $$unsorted) % 78.73/78.92 (declare-const tptp.op_a $$unsorted) % 78.73/78.92 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 78.73/78.92 (declare-const tptp.minus (-> $$unsorted $$unsorted)) % 78.73/78.92 (declare-const tptp.op_0 $$unsorted) % 78.73/78.92 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 78.73/78.92 (define @t1 () (@var "C" $$unsorted)) % 78.73/78.92 (define @t2 () (@var "B" $$unsorted)) % 78.73/78.92 (define @t3 () (tptp.plus @t2 @t1)) % 78.73/78.92 (define @t4 () (@var "A" $$unsorted)) % 78.73/78.92 (define @t5 () (tptp.plus @t4 @t2)) % 78.73/78.92 (define @t6 () (@list @t1 @t2 @t4)) % 78.73/78.93 (define @t7 () (@list @t2 @t4)) % 78.73/78.93 (define @t8 () (@list @t4)) % 78.73/78.93 (define @t9 () (tptp.mult @t4 @t2)) % 78.73/78.93 (define @t10 () (tptp.mult @t4 tptp.unit)) % 78.73/78.93 (define @t11 () (forall @t8 (= @t10 @t4))) % 78.73/78.93 (define @t12 () (tptp.mult tptp.unit @t4)) % 78.73/78.93 (define @t13 () (forall @t8 (= @t12 @t4))) % 78.73/78.93 (define @t14 () (tptp.mult tptp.op_a tptp.op_b)) % 78.73/78.93 (define @t15 () (tptp.mult tptp.op_b tptp.op_a)) % 78.73/78.93 (define @t16 () (@var "X0" $$unsorted)) % 78.73/78.93 (define @t17 () (tptp.mult (tptp.mult @t16 tptp.op_b) tptp.op_a)) % 78.73/78.93 (define @t18 () (tptp.mult (tptp.mult @t16 tptp.op_a) tptp.op_b)) % 78.73/78.93 (define @t19 () (and (= @t18 @t16) (= @t17 @t16))) % 78.73/78.93 (define @t20 () (@list @t16)) % 78.73/78.93 (define @t21 () (forall @t20 @t19)) % 78.73/78.93 (define @t22 () (not @t21)) % 78.73/78.93 (define @t23 () (= @t4 @t10)) % 78.73/78.93 (define @t24 () (tptp.mult @t14 tptp.op_a)) % 78.73/78.93 (define @t25 () (= @t4 @t12)) % 78.73/78.93 (define @t26 () (@list tptp.op_b)) % 78.73/78.93 (define @t27 () (tptp.mult tptp.op_b @t15)) % 78.73/78.93 (define @t28 () (@var "BOUND_VARIABLE_7497" $$unsorted)) % 78.73/78.93 (define @t29 () (forall (@list @t28) (= @t28 (tptp.mult (tptp.mult @t28 tptp.op_a) tptp.op_b)))) % 78.73/78.93 (define @t30 () (@quantifiers_skolemize @t29 0)) % 78.73/78.93 (define @t31 () (tptp.mult @t30 tptp.op_a)) % 78.73/78.93 (define @t32 () (tptp.mult @t15 tptp.op_a)) % 78.73/78.93 (define @t33 () (tptp.mult tptp.op_a @t14)) % 78.73/78.93 (define @t34 () (tptp.mult @t33 tptp.op_a)) % 78.73/78.93 (define @t35 () (tptp.mult tptp.op_b @t34)) % 78.73/78.93 (define @t36 () (tptp.mult @t35 tptp.op_b)) % 78.73/78.93 (define @t37 () (tptp.mult (tptp.mult @t30 tptp.op_b) @t34)) % 78.73/78.93 (define @t38 () (tptp.mult @t37 tptp.op_b)) % 78.73/78.93 (define @t39 () (tptp.mult @t38 tptp.op_a)) % 78.73/78.93 (define @t40 () (tptp.mult @t14 tptp.op_b)) % 78.73/78.93 (define @t41 () (= @t30 (tptp.mult @t31 tptp.op_b))) % 78.73/78.93 (define @t42 () (not @t41)) % 78.73/78.93 (define @t43 () (not @t29)) % 78.73/78.93 (define @t44 () (@list false)) % 78.73/78.93 (define @t45 () (= @t16 @t17)) % 78.73/78.93 (define @t46 () (forall @t20 @t45)) % 78.73/78.93 (define @t47 () (@list @t16)) % 78.73/78.93 (define @t48 () (@var "BOUND_VARIABLE_7504" $$unsorted)) % 78.73/78.93 (define @t49 () (= @t16 @t18)) % 78.73/78.93 (define @t50 () (forall @t20 @t49)) % 78.73/78.93 (define @t51 () (and @t50 @t46)) % 78.73/78.93 (define @t52 () (forall (@list @t48) (= @t48 (tptp.mult (tptp.mult @t48 tptp.op_b) tptp.op_a)))) % 78.73/78.93 (define @t53 () (not @t52)) % 78.73/78.93 (define @t54 () (@quantifiers_skolemize @t52 0)) % 78.73/78.93 (define @t55 () (tptp.mult @t54 tptp.op_b)) % 78.73/78.93 (define @t56 () (tptp.mult @t55 tptp.op_a)) % 78.73/78.93 (define @t57 () (= @t54 @t56)) % 78.73/78.93 (define @t58 () (not @t57)) % 78.73/78.93 (define @t59 () (tptp.mult (tptp.mult @t55 @t14) tptp.op_a)) % 78.73/78.93 (define @t60 () (tptp.mult @t54 @t14)) % 78.73/78.93 (define @t61 () (= @t54 @t60)) % 78.73/78.93 (define @t62 () (not @t61)) % 78.73/78.93 (define @t63 () (tptp.mult @t55 @t34)) % 78.73/78.93 (define @t64 () (tptp.mult @t63 tptp.op_b)) % 78.73/78.93 (define @t65 () (= @t64 (tptp.mult @t54 @t36))) % 78.73/78.93 (define @t66 () (not @t65)) % 78.73/78.93 (define @t67 () (tptp.mult @t59 @t36)) % 78.73/78.93 (define @t68 () (= (tptp.mult (tptp.mult (tptp.mult @t59 tptp.op_b) @t34) tptp.op_b) @t67)) % 78.73/78.93 (define @t69 () (not @t68)) % 78.73/78.93 (define @t70 () (tptp.mult @t59 @t14)) % 78.73/78.93 (define @t71 () (= @t59 @t70)) % 78.73/78.93 (define @t72 () (not @t71)) % 78.73/78.93 (define @t73 () (tptp.mult @t24 @t14)) % 78.73/78.93 (define @t74 () (tptp.mult @t55 @t73)) % 78.73/78.93 (define @t75 () (= @t70 @t74)) % 78.73/78.93 (define @t76 () (not @t75)) % 78.73/78.93 (define @t77 () (tptp.mult @t56 tptp.op_b)) % 78.73/78.93 (define @t78 () (= @t77 (tptp.mult @t54 (tptp.mult @t15 tptp.op_b)))) % 78.73/78.93 (define @t79 () (not @t78)) % 78.73/78.93 (define @t80 () (= tptp.op_b @t40)) % 78.73/78.93 (define @t81 () (not @t80)) % 78.73/78.93 (define @t82 () (= (tptp.mult tptp.op_b (tptp.mult tptp.op_a tptp.op_a)) @t32)) % 78.73/78.93 (define @t83 () (not @t82)) % 78.73/78.93 (define @t84 () (= tptp.op_a @t24)) % 78.73/78.93 (define @t85 () (not @t84)) % 78.73/78.93 (define @t86 () (= @t24 @t73)) % 78.73/78.93 (define @t87 () (not @t86)) % 78.73/78.93 (define @t88 () (= @t14 @t15)) % 78.73/78.93 (define @t89 () (not @t88)) % 78.73/78.93 (define @t90 () (and @t88 @t86 @t84 @t82 @t80 @t58 @t78 @t75 @t71 @t68 @t65)) % 78.73/78.93 (assume @p1 (forall @t6 (= (tptp.plus @t5 @t1) (tptp.plus @t4 @t3)))) % 78.73/78.93 (assume @p2 (forall @t7 (= @t5 (tptp.plus @t2 @t4)))) % 78.73/78.93 (assume @p3 (forall @t8 (= (tptp.plus @t4 tptp.op_0) @t4))) % 78.73/78.93 (assume @p4 (forall @t8 (= (tptp.plus @t4 (tptp.minus @t4)) tptp.op_0))) % 78.73/78.93 (assume @p5 (forall @t6 (= (tptp.mult @t4 @t3) (tptp.plus @t9 (tptp.mult @t4 @t1))))) % 78.73/78.93 (assume @p6 (forall @t6 (= (tptp.mult (tptp.mult @t9 @t1) @t2) (tptp.mult @t4 (tptp.mult (tptp.mult @t2 @t1) @t2))))) % 78.73/78.93 (assume @p7 (forall @t7 (= (tptp.mult @t4 (tptp.mult @t2 @t2)) (tptp.mult @t9 @t2)))) % 78.73/78.93 (assume @p8 @t11) % 78.73/78.93 (assume @p9 @t13) % 78.73/78.93 (assume @p10 (= @t14 tptp.unit)) % 78.73/78.93 (assume @p11 (= @t15 tptp.unit)) % 78.73/78.93 (assume @p12 @t22) % 78.73/78.93 (assume @p13 true) % 78.73/78.93 (step @p14 :rule refl :args (@t15)) % 78.73/78.93 (step @p15 :rule symm :premises (@p10)) % 78.73/78.93 (step @p16 :rule cong :premises (@p15 @p14) :args ((= tptp.unit @t15))) % 78.73/78.93 (step @p17 :rule eq-symm :args (@t15 tptp.unit)) % 78.73/78.93 (step @p18 :rule trans :premises (@p17 @p16)) % 78.73/78.93 (step @p19 :rule eq_resolve :premises (@p11 @p18)) % 78.73/78.93 (step @p20 :rule refl :args (@t4)) % 78.73/78.93 (step @p21 :rule cong :premises (@p20 @p15) :args (@t10)) % 78.73/78.93 (step @p22 :rule cong :premises (@p20 @p21) :args (@t23)) % 78.73/78.93 (step @p23 :rule cong :premises (@p22) :args ((forall @t8 @t23))) % 78.73/78.93 (step @p24 :rule eq-symm :args (@t10 @t4)) % 78.73/78.93 (step @p25 :rule cong :premises (@p24) :args (@t11)) % 78.73/78.93 (step @p26 :rule trans :premises (@p25 @p23)) % 78.73/78.93 (step @p27 :rule eq_resolve :premises (@p8 @p26)) % 78.73/78.93 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t24))) % 78.73/78.93 (step @p29 :rule cong :premises (@p15 @p20) :args (@t12)) % 78.73/78.93 (step @p30 :rule cong :premises (@p20 @p29) :args (@t25)) % 78.73/78.93 (step @p31 :rule cong :premises (@p30) :args ((forall @t8 @t25))) % 78.73/78.93 (step @p32 :rule eq-symm :args (@t12 @t4)) % 78.73/78.93 (step @p33 :rule cong :premises (@p32) :args (@t13)) % 78.73/78.93 (step @p34 :rule trans :premises (@p33 @p31)) % 78.73/78.93 (step @p35 :rule eq_resolve :premises (@p9 @p34)) % 78.73/78.93 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.op_a))) % 78.73/78.93 (step @p37 :rule instantiate :premises (@p7) :args ((@list tptp.op_a tptp.op_b))) % 78.73/78.93 (step @p38 :rule instantiate :premises (@p35) :args (@t26)) % 78.73/78.93 (step @p39 :rule instantiate :premises (@p27) :args (@t26)) % 78.73/78.93 (step @p40 :rule symm :premises (@p39)) % 78.73/78.93 (step @p41 :rule symm :premises (@p19)) % 78.73/78.93 (step @p42 :rule refl :args (tptp.op_b)) % 78.73/78.93 (step @p43 :rule cong :premises (@p42 @p41) :args (@t27)) % 78.73/78.93 (step @p44 :rule trans :premises (@p43 @p40)) % 78.73/78.93 (step @p45 :rule refl :args (@t31)) % 78.73/78.93 (step @p46 :rule cong :premises (@p45 @p44) :args ((tptp.mult @t31 @t27))) % 78.73/78.93 (step @p47 :rule symm :premises (@p44)) % 78.73/78.93 (step @p48 :rule refl :args (tptp.op_a)) % 78.73/78.93 (step @p49 :rule instantiate :premises (@p27) :args ((@list @t30))) % 78.73/78.93 (step @p50 :rule symm :premises (@p49)) % 78.73/78.93 (step @p51 :rule symm :premises (@p36)) % 78.73/78.93 (step @p52 :rule cong :premises (@p41 @p48) :args (@t32)) % 78.73/78.93 (step @p53 :rule symm :premises (@p28)) % 78.73/78.93 (step @p54 :rule refl :args (@t14)) % 78.73/78.93 (step @p55 :rule cong :premises (@p36 @p54) :args (@t33)) % 78.73/78.93 (step @p56 :rule trans :premises (@p55 @p53 @p51)) % 78.73/78.93 (step @p57 :rule cong :premises (@p56 @p48) :args (@t34)) % 78.73/78.93 (step @p58 :rule cong :premises (@p42 @p57) :args (@t35)) % 78.73/78.93 (step @p59 :rule trans :premises (@p58 @p37 @p52 @p51)) % 78.73/78.93 (step @p60 :rule cong :premises (@p59 @p42) :args (@t36)) % 78.73/78.93 (step @p61 :rule refl :args (@t30)) % 78.73/78.93 (step @p62 :rule cong :premises (@p61 @p60) :args ((tptp.mult @t30 @t36))) % 78.73/78.93 (step @p63 :rule instantiate :premises (@p6) :args ((@list @t34 tptp.op_b @t30))) % 78.73/78.93 (step @p64 :rule trans :premises (@p63 @p62 @p50)) % 78.73/78.93 (step @p65 :rule cong :premises (@p64 @p48) :args (@t39)) % 78.73/78.93 (step @p66 :rule cong :premises (@p65 @p47) :args ((tptp.mult @t39 tptp.op_b))) % 78.73/78.93 (step @p67 :rule instantiate :premises (@p6) :args ((@list tptp.op_a tptp.op_b @t37))) % 78.73/78.93 (step @p68 :rule symm :premises (@p67)) % 78.73/78.93 (step @p69 :rule cong :premises (@p19 @p42) :args (@t40)) % 78.73/78.93 (step @p70 :rule trans :premises (@p38 @p69)) % 78.73/78.93 (step @p71 :rule refl :args (@t37)) % 78.73/78.93 (step @p72 :rule cong :premises (@p71 @p70) :args (@t38)) % 78.73/78.93 (step @p73 :rule symm :premises (@p63)) % 78.73/78.93 (step @p74 :rule symm :premises (@p62)) % 78.73/78.93 (step @p75 :rule trans :premises (@p49 @p74 @p73 @p72 @p68 @p66 @p46)) % 78.73/78.93 (step @p76 :rule refl :args (@t42)) % 78.73/78.93 (step @p77 :rule bool-double-not-elim :args (@t29)) % 78.73/78.93 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t43) @t42))) % 78.73/78.93 (assume-push @p207 @t43) % 78.73/78.93 (step @p80 :rule skolemize :premises (@p207)) % 78.73/78.93 (step-pop @p208 :rule scope :premises (@p80)) % 78.73/78.93 (step @p81 :rule process_scope :premises (@p208) :args (@t42)) % 78.73/78.93 (step @p83 :rule implies_elim :premises (@p81)) % 78.73/78.93 (step @p84 :rule eq_resolve :premises (@p83 @p78)) % 78.73/78.93 (step @p85 :rule chain_m_resolution :premises (@p84 @p75) :args (@t29 @t44 (@list @t41))) % 78.73/78.93 (step @p86 :rule alpha_equiv :args (@t46 @t47 (@list @t48))) % 78.73/78.93 (step @p87 :rule alpha_equiv :args (@t50 @t47 (@list @t28))) % 78.73/78.93 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t51)) % 78.73/78.93 (step @p89 :rule quant-miniscope-and :args ((= (forall @t20 (and @t49 @t45)) @t51))) % 78.73/78.93 (step @p90 :rule trans :premises (@p89 @p88)) % 78.73/78.93 (step @p91 :rule eq-symm :args (@t17 @t16)) % 78.73/78.93 (step @p92 :rule eq-symm :args (@t18 @t16)) % 78.73/78.93 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t19)) % 78.73/78.93 (step @p94 :rule cong :premises (@p93) :args (@t21)) % 78.73/78.93 (step @p95 :rule trans :premises (@p94 @p90)) % 78.73/78.93 (step @p96 :rule cong :premises (@p95) :args (@t22)) % 78.73/78.93 (step @p97 :rule eq_resolve :premises (@p12 @p96)) % 78.73/78.93 (step @p98 :rule not_and :premises (@p97)) % 78.73/78.93 (step @p99 :rule chain_m_resolution :premises (@p98 @p85) :args (@t53 @t44 (@list @t29))) % 78.73/78.93 (step @p100 :rule refl :args (@t58)) % 78.73/78.93 (step @p101 :rule bool-double-not-elim :args (@t52)) % 78.73/78.93 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t53) @t58))) % 78.73/78.93 (assume-push @p209 @t53) % 78.73/78.93 (step @p104 :rule skolemize :premises (@p209)) % 78.73/78.93 (step-pop @p210 :rule scope :premises (@p104)) % 78.73/78.93 (step @p105 :rule process_scope :premises (@p210) :args (@t58)) % 78.73/78.93 (step @p107 :rule implies_elim :premises (@p105)) % 78.73/78.93 (step @p108 :rule eq_resolve :premises (@p107 @p102)) % 78.73/78.93 (step @p109 :rule chain_m_resolution :premises (@p108 @p99) :args (@t58 (@list true) (@list @t52))) % 78.73/78.93 (step @p110 :rule instantiate :premises (@p6) :args ((@list tptp.op_a tptp.op_b @t54))) % 78.73/78.93 (step @p111 :rule instantiate :premises (@p6) :args ((@list tptp.op_a @t14 @t55))) % 78.73/78.93 (step @p112 :rule instantiate :premises (@p27) :args ((@list @t59))) % 78.73/78.93 (step @p113 :rule instantiate :premises (@p6) :args ((@list @t34 tptp.op_b @t59))) % 78.73/78.93 (step @p114 :rule instantiate :premises (@p6) :args ((@list @t34 tptp.op_b @t54))) % 78.73/78.93 (step @p115 :rule instantiate :premises (@p27) :args ((@list @t54))) % 78.73/78.93 (step @p116 :rule refl :args (@t62)) % 78.73/78.93 (step @p117 :rule refl :args (@t66)) % 78.73/78.93 (step @p118 :rule refl :args (@t69)) % 78.73/78.93 (step @p119 :rule refl :args (@t72)) % 78.73/78.93 (step @p120 :rule refl :args (@t76)) % 78.73/78.93 (step @p121 :rule refl :args (@t79)) % 78.73/78.93 (step @p122 :rule bool-double-not-elim :args (@t57)) % 78.73/78.93 (step @p123 :rule refl :args (@t81)) % 78.73/78.93 (step @p124 :rule refl :args (@t83)) % 78.73/78.93 (step @p125 :rule refl :args (@t85)) % 78.73/78.93 (step @p126 :rule refl :args (@t87)) % 78.73/78.93 (step @p127 :rule refl :args (@t89)) % 78.73/78.93 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116) :args ((or @t89 @t87 @t85 @t83 @t81 (not @t58) @t79 @t76 @t72 @t69 @t66 @t62))) % 78.73/78.93 (assume-push @p211 @t88) % 78.73/78.93 (assume-push @p212 @t86) % 78.73/78.93 (assume-push @p213 @t84) % 78.73/78.93 (assume-push @p214 @t82) % 78.73/78.93 (assume-push @p215 @t80) % 78.73/78.93 (assume-push @p216 @t58) % 78.73/78.93 (assume-push @p217 @t78) % 78.73/78.93 (assume-push @p218 @t75) % 78.73/78.93 (assume-push @p219 @t71) % 78.73/78.93 (assume-push @p220 @t68) % 78.73/78.93 (assume-push @p221 @t65) % 78.73/78.93 (assume-push @p222 @t58) % 78.73/78.93 (assume-push @p223 @t84) % 78.73/78.93 (assume-push @p224 @t86) % 78.73/78.93 (assume-push @p225 @t75) % 78.73/78.93 (assume-push @p226 @t71) % 78.73/78.93 (assume-push @p227 @t88) % 78.73/78.93 (assume-push @p228 @t82) % 78.73/78.93 (assume-push @p229 @t68) % 78.73/78.93 (assume-push @p230 @t78) % 78.73/78.93 (assume-push @p231 @t80) % 78.73/78.93 (assume-push @p232 @t65) % 78.73/78.93 (step @p151 :rule false_intro :premises (@p216)) % 78.73/78.93 (step @p152 :rule trans :premises (@p53 @p51)) % 78.73/78.93 (step @p153 :rule refl :args (@t55)) % 78.73/78.93 (step @p154 :rule cong :premises (@p153 @p152) :args (@t74)) % 78.73/78.94 (step @p155 :rule refl :args (@t59)) % 78.73/78.94 (step @p156 :rule cong :premises (@p155 @p60) :args (@t67)) % 78.73/78.94 (step @p157 :rule refl :args (@t34)) % 78.73/78.94 (step @p158 :rule symm :premises (@p112)) % 78.73/78.94 (step @p159 :rule symm :premises (@p111)) % 78.73/78.94 (step @p160 :rule symm :premises (@p154)) % 78.73/78.94 (step @p161 :rule trans :premises (@p160 @p159 @p158)) % 78.73/78.94 (step @p162 :rule cong :premises (@p161 @p42) :args (@t77)) % 78.73/78.94 (step @p163 :rule symm :premises (@p110)) % 78.73/78.94 (step @p164 :rule refl :args (@t54)) % 78.73/78.94 (step @p165 :rule cong :premises (@p164 @p70) :args (@t55)) % 78.73/78.94 (step @p166 :rule trans :premises (@p165 @p163 @p162)) % 78.73/78.94 (step @p167 :rule cong :premises (@p166 @p157) :args (@t63)) % 78.73/78.94 (step @p168 :rule cong :premises (@p167 @p42) :args (@t64)) % 78.73/78.94 (step @p169 :rule symm :premises (@p114)) % 78.73/78.94 (step @p170 :rule symm :premises (@p60)) % 78.73/78.94 (step @p171 :rule cong :premises (@p164 @p170) :args (@t60)) % 78.73/78.94 (step @p172 :rule trans :premises (@p171 @p169 @p168 @p113 @p156 @p111 @p154)) % 78.73/78.94 (step @p173 :rule cong :premises (@p164 @p172) :args (@t61)) % 78.73/78.94 (step @p174 :rule trans :premises (@p173 @p151)) % 78.73/78.94 (step @p175 :rule false_elim :premises (@p174)) % 78.73/78.94 (step-pop @p233 :rule scope :premises (@p175)) % 78.73/78.94 (step-pop @p234 :rule scope :premises (@p233)) % 78.73/78.94 (step-pop @p235 :rule scope :premises (@p234)) % 78.73/78.94 (step-pop @p236 :rule scope :premises (@p235)) % 78.73/78.94 (step-pop @p237 :rule scope :premises (@p236)) % 78.73/78.94 (step-pop @p238 :rule scope :premises (@p237)) % 78.73/78.94 (step-pop @p239 :rule scope :premises (@p238)) % 78.73/78.94 (step-pop @p240 :rule scope :premises (@p239)) % 78.73/78.94 (step-pop @p241 :rule scope :premises (@p240)) % 78.73/78.94 (step-pop @p242 :rule scope :premises (@p241)) % 78.73/78.94 (step-pop @p243 :rule scope :premises (@p242)) % 78.73/78.94 (step @p176 :rule process_scope :premises (@p243) :args (@t62)) % 78.73/78.94 (step @p188 :rule and_intro :premises (@p216 @p36 @p28 @p111 @p112 @p19 @p37 @p113 @p110 @p38 @p114)) % 78.73/78.94 (step @p189 :rule modus_ponens :premises (@p188 @p176)) % 78.73/78.94 (step-pop @p244 :rule scope :premises (@p189)) % 78.73/78.94 (step-pop @p245 :rule scope :premises (@p244)) % 78.73/78.94 (step-pop @p246 :rule scope :premises (@p245)) % 78.73/78.94 (step-pop @p247 :rule scope :premises (@p246)) % 78.73/78.94 (step-pop @p248 :rule scope :premises (@p247)) % 78.73/78.94 (step-pop @p249 :rule scope :premises (@p248)) % 78.73/78.94 (step-pop @p250 :rule scope :premises (@p249)) % 78.73/78.94 (step-pop @p251 :rule scope :premises (@p250)) % 78.73/78.94 (step-pop @p252 :rule scope :premises (@p251)) % 78.73/78.94 (step-pop @p253 :rule scope :premises (@p252)) % 78.73/78.94 (step-pop @p254 :rule scope :premises (@p253)) % 78.73/78.94 (step @p190 :rule process_scope :premises (@p254) :args (@t62)) % 78.73/78.94 (step @p202 :rule implies_elim :premises (@p190)) % 78.73/78.94 (step @p203 :rule cnf_and_neg :args (@t90)) % 78.73/78.94 (step @p204 :rule resolution :premises (@p203 @p202) :args (true @t90)) % 78.73/78.94 (step @p205 :rule eq_resolve :premises (@p204 @p128)) % 78.73/78.94 (step @p206 false :rule chain_m_resolution :premises (@p205 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p38 @p37 @p36 @p28 @p19) :args (false (@list false false false false false false true false false false false false) (@list @t61 @t65 @t68 @t71 @t75 @t78 @t57 @t80 @t82 @t84 @t86 @t88))) % 78.73/78.94 ) % 78.73/78.94 % SZS output end Proof % 78.73/78.94 % cvc5 exiting %------------------------------------------------------------------------------