%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP665+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:21:15 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP665+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n006.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 01:45:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.op_c $$unsorted) % 0.38/0.58 (declare-const tptp.unit $$unsorted) % 0.38/0.58 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t3 () (@list @t1 @t2)) % 0.38/0.58 (define @t4 () (tptp.mult @t2 @t1)) % 0.38/0.58 (define @t5 () (tptp.ld @t2 @t4)) % 0.38/0.58 (define @t6 () (forall @t3 (= @t5 @t1))) % 0.38/0.58 (define @t7 () (tptp.rd @t4 @t1)) % 0.38/0.58 (define @t8 () (forall @t3 (= @t7 @t2))) % 0.38/0.58 (define @t9 () (@list @t2)) % 0.38/0.58 (define @t10 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t11 () (tptp.mult @t2 @t10)) % 0.38/0.58 (define @t12 () (tptp.mult @t1 @t10)) % 0.38/0.58 (define @t13 () (@list @t10 @t1 @t2)) % 0.38/0.58 (define @t14 () (forall @t9 (= (tptp.mult tptp.op_c @t2) (tptp.mult @t2 tptp.op_c)))) % 0.38/0.58 (define @t15 () (@var "X1" $$unsorted)) % 0.38/0.59 (define @t16 () (@var "X0" $$unsorted)) % 0.38/0.59 (define @t17 () (tptp.mult @t16 @t15)) % 0.38/0.59 (define @t18 () (= (tptp.mult @t17 tptp.op_c) (tptp.mult @t16 (tptp.mult @t15 tptp.op_c)))) % 0.38/0.59 (define @t19 () (= (tptp.mult (tptp.mult @t16 tptp.op_c) @t15) (tptp.mult @t16 (tptp.mult tptp.op_c @t15)))) % 0.38/0.59 (define @t20 () (= (tptp.mult tptp.op_c @t17) (tptp.mult (tptp.mult tptp.op_c @t16) @t15))) % 0.38/0.59 (define @t21 () (@list @t16 @t15)) % 0.38/0.59 (define @t22 () (forall @t21 (and @t20 @t19 @t18))) % 0.38/0.59 (define @t23 () (not @t22)) % 0.38/0.59 (define @t24 () (@var "BOUND_VARIABLE_7507" $$unsorted)) % 0.38/0.59 (define @t25 () (@var "BOUND_VARIABLE_7505" $$unsorted)) % 0.38/0.59 (define @t26 () (forall (@list @t25 @t24) (= (tptp.mult (tptp.mult @t25 tptp.op_c) @t24) (tptp.mult @t25 (tptp.mult tptp.op_c @t24))))) % 0.38/0.59 (define @t27 () (@quantifiers_skolemize @t26 0)) % 0.38/0.59 (define @t28 () (@quantifiers_skolemize @t26 1)) % 0.38/0.59 (define @t29 () (tptp.mult tptp.op_c @t27)) % 0.38/0.59 (define @t30 () (tptp.mult @t27 tptp.op_c)) % 0.38/0.59 (define @t31 () (= @t29 @t30)) % 0.38/0.59 (define @t32 () (@list @t27)) % 0.38/0.59 (define @t33 () (= @t30 @t29)) % 0.38/0.59 (define @t34 () (@list false)) % 0.38/0.59 (define @t35 () (@list @t14)) % 0.38/0.59 (define @t36 () (@list @t28 tptp.op_c @t27)) % 0.38/0.59 (define @t37 () (@var "BOUND_VARIABLE_7518" $$unsorted)) % 0.38/0.59 (define @t38 () (@var "BOUND_VARIABLE_7516" $$unsorted)) % 0.38/0.59 (define @t39 () (forall (@list @t38 @t37) (= (tptp.mult (tptp.mult @t38 @t37) tptp.op_c) (tptp.mult @t38 (tptp.mult @t37 tptp.op_c))))) % 0.38/0.59 (define @t40 () (@quantifiers_skolemize @t39 1)) % 0.38/0.59 (define @t41 () (@quantifiers_skolemize @t39 0)) % 0.38/0.59 (define @t42 () (tptp.rd (tptp.mult tptp.op_c @t41) tptp.op_c)) % 0.38/0.59 (define @t43 () (tptp.mult @t41 @t40)) % 0.38/0.59 (define @t44 () (tptp.mult tptp.op_c @t43)) % 0.38/0.59 (define @t45 () (tptp.mult @t43 tptp.op_c)) % 0.38/0.59 (define @t46 () (= @t44 @t45)) % 0.38/0.59 (define @t47 () (= @t45 (tptp.mult @t41 (tptp.mult @t40 tptp.op_c)))) % 0.38/0.59 (define @t48 () (not @t47)) % 0.38/0.59 (define @t49 () (not @t39)) % 0.38/0.59 (define @t50 () (@var "BOUND_VARIABLE_7496" $$unsorted)) % 0.38/0.59 (define @t51 () (@var "BOUND_VARIABLE_7494" $$unsorted)) % 0.38/0.59 (define @t52 () (forall (@list @t51 @t50) (= (tptp.mult tptp.op_c (tptp.mult @t51 @t50)) (tptp.mult (tptp.mult tptp.op_c @t51) @t50)))) % 0.38/0.59 (define @t53 () (@quantifiers_skolemize @t52 1)) % 0.38/0.59 (define @t54 () (@quantifiers_skolemize @t52 0)) % 0.38/0.59 (define @t55 () (tptp.mult @t54 tptp.op_c)) % 0.38/0.59 (define @t56 () (tptp.ld tptp.op_c (tptp.mult @t53 tptp.op_c))) % 0.38/0.59 (define @t57 () (tptp.mult @t54 @t53)) % 0.38/0.59 (define @t58 () (= (tptp.mult tptp.op_c @t57) (tptp.mult (tptp.mult tptp.op_c @t54) @t53))) % 0.38/0.59 (define @t59 () (not @t58)) % 0.38/0.59 (define @t60 () (not @t52)) % 0.38/0.59 (define @t61 () (forall @t21 @t18)) % 0.38/0.59 (define @t62 () (@list @t16 @t15)) % 0.38/0.59 (define @t63 () (forall @t21 @t19)) % 0.38/0.59 (define @t64 () (forall @t21 @t20)) % 0.38/0.59 (define @t65 () (and @t64 @t63 @t61)) % 0.38/0.59 (define @t66 () (not @t26)) % 0.38/0.59 (define @t67 () (tptp.mult tptp.op_c @t28)) % 0.38/0.59 (define @t68 () (tptp.mult @t27 @t67)) % 0.38/0.59 (define @t69 () (tptp.mult @t30 @t28)) % 0.38/0.59 (define @t70 () (= @t69 @t68)) % 0.38/0.59 (define @t71 () (not @t70)) % 0.38/0.59 (define @t72 () (tptp.mult @t27 @t28)) % 0.38/0.59 (define @t73 () (tptp.mult @t72 tptp.op_c)) % 0.38/0.59 (define @t74 () (tptp.mult tptp.op_c @t72)) % 0.38/0.59 (define @t75 () (= @t74 @t73)) % 0.38/0.59 (define @t76 () (not @t75)) % 0.38/0.59 (define @t77 () (tptp.rd @t29 @t27)) % 0.38/0.59 (define @t78 () (= tptp.op_c @t77)) % 0.38/0.59 (define @t79 () (not @t78)) % 0.38/0.59 (define @t80 () (tptp.mult @t28 tptp.op_c)) % 0.38/0.59 (define @t81 () (tptp.ld @t28 @t80)) % 0.38/0.59 (define @t82 () (= tptp.op_c @t81)) % 0.38/0.59 (define @t83 () (not @t82)) % 0.38/0.59 (define @t84 () (not @t33)) % 0.38/0.59 (define @t85 () (= @t67 @t80)) % 0.38/0.59 (define @t86 () (not @t85)) % 0.38/0.59 (define @t87 () (= @t69 (tptp.mult @t72 (tptp.ld @t28 @t67)))) % 0.38/0.59 (define @t88 () (not @t87)) % 0.38/0.59 (define @t89 () (= @t68 (tptp.mult (tptp.rd @t30 @t27) @t72))) % 0.38/0.59 (define @t90 () (not @t89)) % 0.38/0.59 (define @t91 () (= @t73 @t74)) % 0.38/0.59 (define @t92 () (and @t71 @t89 @t87 @t85 @t33 @t82 @t78)) % 0.38/0.59 (assume @p1 (forall @t3 (= (tptp.mult @t2 (tptp.ld @t2 @t1)) @t1))) % 0.38/0.59 (assume @p2 @t6) % 0.38/0.59 (assume @p3 (forall @t3 (= (tptp.mult (tptp.rd @t2 @t1) @t1) @t2))) % 0.38/0.59 (assume @p4 @t8) % 0.38/0.59 (assume @p5 (forall @t9 (= (tptp.mult @t2 tptp.unit) @t2))) % 0.38/0.59 (assume @p6 (forall @t9 (= (tptp.mult tptp.unit @t2) @t2))) % 0.38/0.59 (assume @p7 (forall @t13 (= (tptp.mult @t2 @t12) (tptp.mult (tptp.rd @t4 @t2) @t11)))) % 0.38/0.59 (assume @p8 (forall @t13 (= (tptp.mult @t4 @t10) (tptp.mult @t11 (tptp.ld @t10 @t12))))) % 0.38/0.59 (assume @p9 @t14) % 0.38/0.59 (assume @p10 @t23) % 0.38/0.59 (assume @p11 true) % 0.38/0.59 (step @p12 :rule eq-symm :args (@t7 @t2)) % 0.38/0.59 (step @p13 :rule cong :premises (@p12) :args (@t8)) % 0.38/0.59 (step @p14 :rule eq_resolve :premises (@p4 @p13)) % 0.38/0.59 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t27 tptp.op_c))) % 0.38/0.59 (step @p16 :rule eq-symm :args (@t5 @t1)) % 0.38/0.59 (step @p17 :rule cong :premises (@p16) :args (@t6)) % 0.38/0.59 (step @p18 :rule eq_resolve :premises (@p2 @p17)) % 0.38/0.59 (step @p19 :rule instantiate :premises (@p18) :args ((@list tptp.op_c @t28))) % 0.38/0.59 (step @p20 :rule eq-symm :args (@t29 @t30)) % 0.38/0.59 (step @p21 :rule refl :args (@t14)) % 0.38/0.59 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t14 @t31))) % 0.38/0.59 (assume-push @p185 @t14) % 0.38/0.59 (step @p24 :rule instantiate :premises (@p9) :args (@t32)) % 0.38/0.59 (step-pop @p186 :rule scope :premises (@p24)) % 0.38/0.59 (step @p25 :rule process_scope :premises (@p186) :args (@t31)) % 0.38/0.59 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.38/0.59 (step @p28 :rule implies_elim :premises (@p27)) % 0.38/0.59 (step @p29 :rule chain_m_resolution :premises (@p28 @p9) :args (@t33 @t34 @t35)) % 0.38/0.59 (step @p30 :rule instantiate :premises (@p9) :args ((@list @t28))) % 0.38/0.59 (step @p31 :rule instantiate :premises (@p8) :args (@t36)) % 0.38/0.59 (step @p32 :rule instantiate :premises (@p7) :args (@t36)) % 0.38/0.59 (step @p33 :rule instantiate :premises (@p9) :args ((@list @t40))) % 0.38/0.59 (step @p34 :rule instantiate :premises (@p14) :args ((@list tptp.op_c @t41))) % 0.38/0.59 (step @p35 :rule symm :premises (@p34)) % 0.38/0.59 (step @p36 :rule refl :args (tptp.op_c)) % 0.38/0.59 (step @p37 :rule instantiate :premises (@p9) :args ((@list @t41))) % 0.38/0.59 (step @p38 :rule cong :premises (@p37 @p36) :args (@t42)) % 0.38/0.59 (step @p39 :rule trans :premises (@p38 @p35)) % 0.38/0.59 (step @p40 :rule cong :premises (@p39 @p33) :args ((tptp.mult @t42 (tptp.mult tptp.op_c @t40)))) % 0.38/0.59 (step @p41 :rule instantiate :premises (@p7) :args ((@list @t40 @t41 tptp.op_c))) % 0.38/0.59 (step @p42 :rule eq-symm :args (@t44 @t45)) % 0.38/0.59 (step @p43 :rule cong :premises (@p21 @p42) :args ((=> @t14 @t46))) % 0.38/0.59 (assume-push @p187 @t14) % 0.38/0.59 (step @p45 :rule instantiate :premises (@p9) :args ((@list @t43))) % 0.38/0.59 (step-pop @p188 :rule scope :premises (@p45)) % 0.38/0.59 (step @p46 :rule process_scope :premises (@p188) :args (@t46)) % 0.38/0.59 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.38/0.59 (step @p49 :rule implies_elim :premises (@p48)) % 0.38/0.59 (step @p50 :rule chain_m_resolution :premises (@p49 @p9) :args ((= @t45 @t44) @t34 @t35)) % 0.38/0.59 (step @p51 :rule trans :premises (@p50 @p41 @p40)) % 0.38/0.59 (step @p52 :rule refl :args (@t48)) % 0.38/0.59 (step @p53 :rule bool-double-not-elim :args (@t39)) % 0.38/0.59 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t49) @t48))) % 0.38/0.59 (assume-push @p189 @t49) % 0.38/0.59 (step @p56 :rule skolemize :premises (@p189)) % 0.38/0.59 (step-pop @p190 :rule scope :premises (@p56)) % 0.38/0.59 (step @p57 :rule process_scope :premises (@p190) :args (@t48)) % 0.38/0.59 (step @p59 :rule implies_elim :premises (@p57)) % 0.38/0.59 (step @p60 :rule eq_resolve :premises (@p59 @p54)) % 0.38/0.59 (step @p61 :rule chain_m_resolution :premises (@p60 @p51) :args (@t39 @t34 (@list @t47))) % 0.38/0.59 (step @p62 :rule refl :args (@t53)) % 0.38/0.59 (step @p63 :rule instantiate :premises (@p9) :args ((@list @t54))) % 0.38/0.59 (step @p64 :rule symm :premises (@p63)) % 0.38/0.59 (step @p65 :rule cong :premises (@p64 @p62) :args ((tptp.mult @t55 @t53))) % 0.38/0.59 (step @p66 :rule instantiate :premises (@p18) :args ((@list @t53 tptp.op_c))) % 0.38/0.59 (step @p67 :rule symm :premises (@p66)) % 0.38/0.59 (step @p68 :rule instantiate :premises (@p9) :args ((@list @t53))) % 0.38/0.59 (step @p69 :rule symm :premises (@p68)) % 0.38/0.59 (step @p70 :rule cong :premises (@p36 @p69) :args (@t56)) % 0.38/0.59 (step @p71 :rule trans :premises (@p70 @p67)) % 0.38/0.59 (step @p72 :rule refl :args (@t55)) % 0.38/0.59 (step @p73 :rule cong :premises (@p72 @p71) :args ((tptp.mult @t55 @t56))) % 0.38/0.59 (step @p74 :rule instantiate :premises (@p8) :args ((@list tptp.op_c @t53 @t54))) % 0.38/0.59 (step @p75 :rule instantiate :premises (@p9) :args ((@list @t57))) % 0.38/0.59 (step @p76 :rule trans :premises (@p75 @p74 @p73 @p65)) % 0.38/0.59 (step @p77 :rule refl :args (@t59)) % 0.38/0.59 (step @p78 :rule bool-double-not-elim :args (@t52)) % 0.38/0.59 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t60) @t59))) % 0.38/0.59 (assume-push @p191 @t60) % 0.38/0.59 (step @p81 :rule skolemize :premises (@p191)) % 0.38/0.59 (step-pop @p192 :rule scope :premises (@p81)) % 0.38/0.59 (step @p82 :rule process_scope :premises (@p192) :args (@t59)) % 0.38/0.59 (step @p84 :rule implies_elim :premises (@p82)) % 0.38/0.59 (step @p85 :rule eq_resolve :premises (@p84 @p79)) % 0.38/0.59 (step @p86 :rule chain_m_resolution :premises (@p85 @p76) :args (@t52 @t34 (@list @t58))) % 0.38/0.59 (step @p87 :rule alpha_equiv :args (@t61 @t62 (@list @t38 @t37))) % 0.38/0.59 (step @p88 :rule alpha_equiv :args (@t63 @t62 (@list @t25 @t24))) % 0.38/0.59 (step @p89 :rule alpha_equiv :args (@t64 @t62 (@list @t51 @t50))) % 0.38/0.59 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87) :args (@t65)) % 0.38/0.59 (step @p91 :rule quant-miniscope-and :args ((= @t22 @t65))) % 0.38/0.59 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.59 (step @p93 :rule cong :premises (@p92) :args (@t23)) % 0.38/0.59 (step @p94 :rule eq_resolve :premises (@p10 @p93)) % 0.38/0.59 (step @p95 :rule not_and :premises (@p94)) % 0.38/0.59 (step @p96 :rule chain_m_resolution :premises (@p95 @p86 @p61) :args (@t66 (@list false false) (@list @t52 @t39))) % 0.38/0.59 (step @p97 :rule refl :args (@t71)) % 0.38/0.59 (step @p98 :rule bool-double-not-elim :args (@t26)) % 0.38/0.59 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or (not @t66) @t71))) % 0.38/0.59 (assume-push @p193 @t66) % 0.38/0.59 (step @p101 :rule skolemize :premises (@p193)) % 0.38/0.59 (step-pop @p194 :rule scope :premises (@p101)) % 0.38/0.59 (step @p102 :rule process_scope :premises (@p194) :args (@t71)) % 0.38/0.59 (step @p104 :rule implies_elim :premises (@p102)) % 0.38/0.59 (step @p105 :rule eq_resolve :premises (@p104 @p99)) % 0.38/0.59 (step @p106 :rule chain_m_resolution :premises (@p105 @p96) :args (@t71 (@list true) (@list @t26))) % 0.38/0.59 (step @p107 :rule refl :args (@t76)) % 0.38/0.59 (step @p108 :rule refl :args (@t79)) % 0.38/0.59 (step @p109 :rule refl :args (@t83)) % 0.38/0.59 (step @p110 :rule refl :args (@t84)) % 0.38/0.59 (step @p111 :rule refl :args (@t86)) % 0.38/0.59 (step @p112 :rule refl :args (@t88)) % 0.38/0.59 (step @p113 :rule refl :args (@t90)) % 0.38/0.59 (step @p114 :rule bool-double-not-elim :args (@t70)) % 0.38/0.59 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107) :args ((or (not @t71) @t90 @t88 @t86 @t84 @t83 @t79 @t76))) % 0.38/0.59 (assume-push @p195 @t71) % 0.38/0.59 (assume-push @p196 @t89) % 0.38/0.59 (assume-push @p197 @t87) % 0.38/0.59 (assume-push @p198 @t85) % 0.38/0.59 (assume-push @p199 @t33) % 0.38/0.59 (assume-push @p200 @t82) % 0.38/0.59 (assume-push @p201 @t78) % 0.38/0.59 (assume-push @p202 @t87) % 0.38/0.59 (assume-push @p203 @t85) % 0.38/0.59 (assume-push @p204 @t82) % 0.38/0.59 (assume-push @p205 @t71) % 0.38/0.59 (assume-push @p206 @t89) % 0.38/0.59 (assume-push @p207 @t33) % 0.38/0.59 (assume-push @p208 @t78) % 0.38/0.59 (step @p130 :rule bool-eq-false :args (@t75)) % 0.38/0.59 (step @p131 :rule symm :premises (@p130)) % 0.38/0.59 (step @p132 :rule eq-symm :args (@t73 @t74)) % 0.38/0.59 (step @p133 :rule cong :premises (@p132) :args ((not @t91))) % 0.38/0.59 (step @p134 :rule bool-eq-false :args (@t91)) % 0.38/0.59 (step @p135 :rule trans :premises (@p134 @p133)) % 0.38/0.59 (step @p136 :rule trans :premises (@p135 @p131)) % 0.38/0.59 (step @p137 :rule false_intro :premises (@p195)) % 0.38/0.59 (step @p138 :rule symm :premises (@p32)) % 0.38/0.59 (step @p139 :rule refl :args (@t72)) % 0.38/0.59 (step @p140 :rule refl :args (@t27)) % 0.38/0.59 (step @p24 :rule instantiate :premises (@p9) :args (@t32)) % 0.38/0.59 (step @p141 :rule cong :premises (@p24 @p140) :args (@t77)) % 0.38/0.59 (step @p142 :rule trans :premises (@p15 @p141)) % 0.38/0.59 (step @p143 :rule cong :premises (@p142 @p139) :args (@t74)) % 0.38/0.59 (step @p144 :rule trans :premises (@p143 @p138)) % 0.38/0.59 (step @p145 :rule symm :premises (@p31)) % 0.38/0.59 (step @p146 :rule symm :premises (@p30)) % 0.38/0.59 (step @p147 :rule refl :args (@t28)) % 0.38/0.59 (step @p148 :rule cong :premises (@p147 @p146) :args (@t81)) % 0.38/0.59 (step @p149 :rule trans :premises (@p19 @p148)) % 0.38/0.59 (step @p150 :rule cong :premises (@p139 @p149) :args (@t73)) % 0.38/0.59 (step @p151 :rule trans :premises (@p150 @p145)) % 0.38/0.59 (step @p152 :rule cong :premises (@p151 @p144) :args (@t91)) % 0.38/0.59 (step @p153 :rule trans :premises (@p152 @p137)) % 0.38/0.59 (step @p154 :rule eq_resolve :premises (@p153 @p136)) % 0.38/0.59 (step @p155 :rule false_elim :premises (@p154)) % 0.38/0.59 (step-pop @p209 :rule scope :premises (@p155)) % 0.38/0.59 (step-pop @p210 :rule scope :premises (@p209)) % 0.38/0.59 (step-pop @p211 :rule scope :premises (@p210)) % 0.38/0.59 (step-pop @p212 :rule scope :premises (@p211)) % 0.38/0.59 (step-pop @p213 :rule scope :premises (@p212)) % 0.38/0.59 (step-pop @p214 :rule scope :premises (@p213)) % 0.38/0.59 (step-pop @p215 :rule scope :premises (@p214)) % 0.38/0.59 (step @p156 :rule process_scope :premises (@p215) :args (@t76)) % 0.38/0.59 (step @p164 :rule and_intro :premises (@p31 @p30 @p19 @p195 @p32 @p29 @p15)) % 0.38/0.59 (step @p165 :rule modus_ponens :premises (@p164 @p156)) % 0.38/0.59 (step-pop @p216 :rule scope :premises (@p165)) % 0.38/0.59 (step-pop @p217 :rule scope :premises (@p216)) % 0.38/0.59 (step-pop @p218 :rule scope :premises (@p217)) % 0.38/0.59 (step-pop @p219 :rule scope :premises (@p218)) % 0.38/0.59 (step-pop @p220 :rule scope :premises (@p219)) % 0.38/0.59 (step-pop @p221 :rule scope :premises (@p220)) % 0.38/0.59 (step-pop @p222 :rule scope :premises (@p221)) % 0.38/0.59 (step @p166 :rule process_scope :premises (@p222) :args (@t76)) % 0.38/0.59 (step @p174 :rule implies_elim :premises (@p166)) % 0.38/0.59 (step @p175 :rule cnf_and_neg :args (@t92)) % 0.38/0.59 (step @p176 :rule resolution :premises (@p175 @p174) :args (true @t92)) % 0.38/0.59 (step @p177 :rule eq_resolve :premises (@p176 @p115)) % 0.38/0.59 (step @p178 :rule chain_m_resolution :premises (@p177 @p106 @p32 @p31 @p30 @p29 @p19 @p15) :args (@t76 (@list true false false false false false false) (@list @t70 @t89 @t87 @t85 @t33 @t82 @t78))) % 0.38/0.59 (assume-push @p223 @t14) % 0.38/0.59 (step @p180 :rule instantiate :premises (@p9) :args ((@list @t72))) % 0.38/0.59 (step-pop @p224 :rule scope :premises (@p180)) % 0.38/0.59 (step @p181 :rule process_scope :premises (@p224) :args (@t75)) % 0.38/0.59 (step @p183 :rule implies_elim :premises (@p181)) % 0.38/0.59 (step @p184 false :rule chain_m_resolution :premises (@p183 @p178 @p9) :args (false (@list true false) (@list @t75 @t14))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------