%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW437-1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 09:04:56 AM UTC 2026 % Result : Unsatisfiable 1.72s 1.95s % Output : Proof 1.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW437-1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 21:58:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.72/1.95 % SZS status Unsatisfiable % 1.72/1.95 % SZS output start Proof % 1.72/1.95 ( % 1.72/1.95 (declare-sort $$unsorted 0) % 1.72/1.95 (declare-const tptp.emp $$unsorted) % 1.72/1.95 (declare-const tptp.x14 $$unsorted) % 1.72/1.95 (declare-const tptp.x4 $$unsorted) % 1.72/1.95 (declare-const tptp.sep (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.95 (declare-const tptp.x2 $$unsorted) % 1.72/1.95 (declare-const tptp.nil $$unsorted) % 1.72/1.95 (declare-const tptp.x5 $$unsorted) % 1.72/1.95 (declare-const tptp.x16 $$unsorted) % 1.72/1.95 (declare-const tptp.x10 $$unsorted) % 1.72/1.95 (declare-const tptp.lseg (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.95 (declare-const tptp.x15 $$unsorted) % 1.72/1.95 (declare-const tptp.x7 $$unsorted) % 1.72/1.95 (declare-const tptp.x1 $$unsorted) % 1.72/1.95 (declare-const tptp.x11 $$unsorted) % 1.72/1.95 (declare-const tptp.heap (-> $$unsorted Bool)) % 1.72/1.95 (declare-const tptp.x6 $$unsorted) % 1.72/1.95 (declare-const tptp.x3 $$unsorted) % 1.72/1.95 (declare-const tptp.next (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.95 (declare-const tptp.x9 $$unsorted) % 1.72/1.95 (declare-const tptp.x8 $$unsorted) % 1.72/1.95 (declare-const tptp.x13 $$unsorted) % 1.72/1.95 (declare-const tptp.x12 $$unsorted) % 1.72/1.95 (define @t1 () (@var "Sigma" $$unsorted)) % 1.72/1.95 (define @t2 () (@var "S" $$unsorted)) % 1.72/1.95 (define @t3 () (@var "T" $$unsorted)) % 1.72/1.95 (define @t4 () (forall (@list @t2 @t3 @t1) (= (tptp.sep @t2 (tptp.sep @t3 @t1)) (tptp.sep @t3 (tptp.sep @t2 @t1))))) % 1.72/1.95 (define @t5 () (@var "X" $$unsorted)) % 1.72/1.95 (define @t6 () (@var "Y" $$unsorted)) % 1.72/1.95 (define @t7 () (@list @t6 @t1)) % 1.72/1.95 (define @t8 () (@var "Z" $$unsorted)) % 1.72/1.95 (define @t9 () (tptp.next @t5 @t6)) % 1.72/1.95 (define @t10 () (@list @t5 @t6 @t8 @t1)) % 1.72/1.95 (define @t11 () (= @t5 @t8)) % 1.72/1.95 (define @t12 () (tptp.lseg @t5 @t8)) % 1.72/1.95 (define @t13 () (tptp.sep @t12 @t1)) % 1.72/1.95 (define @t14 () (= @t5 @t6)) % 1.72/1.95 (define @t15 () (tptp.lseg @t5 @t6)) % 1.72/1.95 (define @t16 () (forall @t10 (or (not (tptp.heap (tptp.sep @t15 @t13))) @t14 @t11))) % 1.72/1.95 (define @t17 () (tptp.lseg @t6 @t8)) % 1.72/1.95 (define @t18 () (@var "W" $$unsorted)) % 1.72/1.95 (define @t19 () (tptp.sep (tptp.next @t8 @t18) @t1)) % 1.72/1.95 (define @t20 () (@list @t5 @t6 @t8 @t18 @t1)) % 1.72/1.95 (define @t21 () (tptp.sep (tptp.lseg @t8 @t18) @t1)) % 1.72/1.95 (define @t22 () (= tptp.x7 tptp.x16)) % 1.72/1.95 (define @t23 () (tptp.sep (tptp.lseg tptp.x3 tptp.x16) (tptp.sep (tptp.lseg tptp.x11 tptp.x8) tptp.emp))) % 1.72/1.95 (define @t24 () (tptp.lseg tptp.x3 tptp.x12)) % 1.72/1.95 (define @t25 () (tptp.lseg tptp.x7 tptp.x1)) % 1.72/1.95 (define @t26 () (tptp.lseg tptp.x10 tptp.x5)) % 1.72/1.95 (define @t27 () (tptp.sep @t26 (tptp.sep @t25 (tptp.sep @t24 @t23)))) % 1.72/1.95 (define @t28 () (tptp.lseg tptp.x10 tptp.x15)) % 1.72/1.95 (define @t29 () (tptp.sep @t28 @t27)) % 1.72/1.95 (define @t30 () (tptp.lseg tptp.x16 tptp.x3)) % 1.72/1.95 (define @t31 () (tptp.sep @t30 @t29)) % 1.72/1.95 (define @t32 () (tptp.lseg tptp.x16 tptp.x7)) % 1.72/1.95 (define @t33 () (tptp.lseg tptp.x2 tptp.x6)) % 1.72/1.95 (define @t34 () (tptp.lseg tptp.x12 tptp.x8)) % 1.72/1.95 (define @t35 () (tptp.lseg tptp.x5 tptp.x1)) % 1.72/1.95 (define @t36 () (= tptp.x16 tptp.x8)) % 1.72/1.95 (define @t37 () (tptp.sep @t33 @t31)) % 1.72/1.95 (define @t38 () (tptp.sep @t35 @t37)) % 1.72/1.95 (define @t39 () (tptp.lseg tptp.x16 tptp.x8)) % 1.72/1.95 (define @t40 () (tptp.sep @t39 @t38)) % 1.72/1.95 (define @t41 () (tptp.sep @t32 @t40)) % 1.72/1.95 (define @t42 () (tptp.heap @t41)) % 1.72/1.95 (define @t43 () (not @t42)) % 1.72/1.95 (define @t44 () (= tptp.x16 tptp.x7)) % 1.72/1.95 (define @t45 () (or @t43 @t44 @t36)) % 1.72/1.95 (define @t46 () (or @t43 @t22 @t36)) % 1.72/1.95 (define @t47 () (@list false)) % 1.72/1.95 (define @t48 () (@list @t16)) % 1.72/1.95 (define @t49 () (tptp.sep @t34 @t37)) % 1.72/1.95 (define @t50 () (tptp.sep @t33 (tptp.sep @t35 @t31))) % 1.72/1.95 (define @t51 () (= @t38 @t50)) % 1.72/1.95 (define @t52 () (@list @t35 @t33 @t31)) % 1.72/1.95 (define @t53 () (= tptp.x16 tptp.x12)) % 1.72/1.95 (define @t54 () (tptp.sep @t25 @t23)) % 1.72/1.95 (define @t55 () (tptp.sep @t26 @t54)) % 1.72/1.95 (define @t56 () (tptp.sep @t30 @t55)) % 1.72/1.95 (define @t57 () (tptp.sep @t28 @t56)) % 1.72/1.95 (define @t58 () (tptp.sep @t35 @t57)) % 1.72/1.95 (define @t59 () (tptp.sep @t33 @t58)) % 1.72/1.95 (define @t60 () (tptp.sep @t34 @t59)) % 1.72/1.95 (define @t61 () (tptp.lseg tptp.x16 tptp.x12)) % 1.72/1.95 (define @t62 () (tptp.sep @t61 @t60)) % 1.72/1.95 (define @t63 () (tptp.sep @t32 @t62)) % 1.72/1.95 (define @t64 () (tptp.heap @t63)) % 1.72/1.95 (define @t65 () (not @t64)) % 1.72/1.95 (define @t66 () (or @t65 @t44 @t53)) % 1.72/1.95 (define @t67 () (or @t65 @t22 @t53)) % 1.72/1.95 (define @t68 () (= tptp.x16 tptp.x3)) % 1.72/1.95 (define @t69 () (tptp.sep @t34 @t29)) % 1.72/1.95 (define @t70 () (tptp.sep @t33 @t69)) % 1.72/1.95 (define @t71 () (tptp.sep @t35 @t70)) % 1.72/1.95 (define @t72 () (tptp.sep @t32 (tptp.sep @t30 @t71))) % 1.72/1.95 (define @t73 () (tptp.heap @t72)) % 1.72/1.95 (define @t74 () (not @t73)) % 1.72/1.95 (define @t75 () (or @t74 @t44 @t68)) % 1.72/1.95 (define @t76 () (or @t74 @t22 @t68)) % 1.72/1.95 (define @t77 () (@list true false false)) % 1.72/1.95 (assume @p1 @t4) % 1.72/1.95 (assume @p2 (forall (@list @t5 @t1) (= (tptp.sep (tptp.lseg @t5 @t5) @t1) @t1))) % 1.72/1.95 (assume @p3 (forall @t7 (not (tptp.heap (tptp.sep (tptp.next tptp.nil @t6) @t1))))) % 1.72/1.95 (assume @p4 (forall @t7 (or (not (tptp.heap (tptp.sep (tptp.lseg tptp.nil @t6) @t1))) (= @t6 tptp.nil)))) % 1.72/1.95 (assume @p5 (forall @t10 (not (tptp.heap (tptp.sep @t9 (tptp.sep (tptp.next @t5 @t8) @t1)))))) % 1.72/1.95 (assume @p6 (forall @t10 (or (not (tptp.heap (tptp.sep @t9 @t13))) @t11))) % 1.72/1.95 (assume @p7 @t16) % 1.72/1.95 (assume @p8 (forall @t10 (or (not (tptp.heap (tptp.sep @t9 (tptp.sep @t17 @t1)))) @t14 (tptp.heap @t13)))) % 1.72/1.95 (assume @p9 (forall (@list @t5 @t6 @t1) (or (not (tptp.heap (tptp.sep @t15 (tptp.sep (tptp.lseg @t6 tptp.nil) @t1)))) (tptp.heap (tptp.sep (tptp.lseg @t5 tptp.nil) @t1))))) % 1.72/1.95 (assume @p10 (forall @t20 (or (not (tptp.heap (tptp.sep @t15 (tptp.sep @t17 @t19)))) (tptp.heap (tptp.sep @t12 @t19))))) % 1.72/1.95 (assume @p11 (forall @t20 (or (not (tptp.heap (tptp.sep @t15 (tptp.sep @t17 @t21)))) (= @t8 @t18) (tptp.heap (tptp.sep @t12 @t21))))) % 1.72/1.95 (assume @p12 (not (= tptp.x6 tptp.x7))) % 1.72/1.95 (assume @p13 (not (= tptp.x6 tptp.x9))) % 1.72/1.95 (assume @p14 (not (= tptp.x11 tptp.x16))) % 1.72/1.95 (assume @p15 (not (= tptp.x11 tptp.x12))) % 1.72/1.95 (assume @p16 (not (= tptp.x3 tptp.x6))) % 1.72/1.95 (assume @p17 (not (= tptp.x3 tptp.x8))) % 1.72/1.95 (assume @p18 (not (= tptp.x3 tptp.x11))) % 1.72/1.95 (assume @p19 (not (= tptp.x3 tptp.x4))) % 1.72/1.95 (assume @p20 (not (= tptp.x7 tptp.x8))) % 1.72/1.95 (assume @p21 (not @t22)) % 1.72/1.95 (assume @p22 (not (= tptp.x7 tptp.x15))) % 1.72/1.95 (assume @p23 (not (= tptp.x2 tptp.x7))) % 1.72/1.95 (assume @p24 (not (= tptp.x8 tptp.x9))) % 1.72/1.95 (assume @p25 (not (= tptp.x1 tptp.x11))) % 1.72/1.95 (assume @p26 (not (= tptp.x1 tptp.x13))) % 1.72/1.95 (assume @p27 (not (= tptp.x1 tptp.x12))) % 1.72/1.95 (assume @p28 (not (= tptp.x1 tptp.x2))) % 1.72/1.95 (assume @p29 (not (= tptp.x4 tptp.x7))) % 1.72/1.95 (assume @p30 (not (= tptp.x4 tptp.x9))) % 1.72/1.95 (assume @p31 (not (= tptp.x4 tptp.x14))) % 1.72/1.95 (assume @p32 (not (= tptp.x10 tptp.x16))) % 1.72/1.95 (assume @p33 (not (= tptp.x10 tptp.x12))) % 1.72/1.95 (assume @p34 (not (= tptp.x10 tptp.x14))) % 1.72/1.95 (assume @p35 (not (= tptp.x13 tptp.x16))) % 1.72/1.95 (assume @p36 (not (= tptp.x13 tptp.x14))) % 1.72/1.95 (assume @p37 (not (= tptp.x5 tptp.x16))) % 1.72/1.95 (assume @p38 (tptp.heap (tptp.sep @t35 (tptp.sep @t34 (tptp.sep @t33 (tptp.sep @t32 @t31)))))) % 1.72/1.95 (assume @p39 (or (= tptp.x1 tptp.x1) (not (tptp.heap tptp.emp)))) % 1.72/1.95 (step @p40 :rule refl :args (@t36)) % 1.72/1.95 (step @p41 :rule eq-symm :args (tptp.x16 tptp.x7)) % 1.72/1.95 (step @p42 :rule refl :args (@t43)) % 1.72/1.95 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args (@t45)) % 1.72/1.95 (step @p44 :rule refl :args (@t16)) % 1.72/1.95 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t16 @t45))) % 1.72/1.95 (assume-push @p181 @t16) % 1.72/1.95 (step @p47 :rule instantiate :premises (@p7) :args ((@list tptp.x16 tptp.x7 tptp.x8 @t38))) % 1.72/1.95 (step-pop @p182 :rule scope :premises (@p47)) % 1.72/1.95 (step @p48 :rule process_scope :premises (@p182) :args (@t45)) % 1.72/1.95 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 1.72/1.95 (step @p51 :rule implies_elim :premises (@p50)) % 1.72/1.95 (step @p52 :rule chain_m_resolution :premises (@p51 @p7) :args (@t46 @t47 @t48)) % 1.72/1.95 (step @p53 :rule true_intro :premises (@p38)) % 1.72/1.95 (step @p54 :rule instantiate :premises (@p1) :args ((@list @t33 @t32 @t31))) % 1.72/1.95 (step @p55 :rule symm :premises (@p54)) % 1.72/1.95 (step @p56 :rule refl :args (@t34)) % 1.72/1.95 (step @p57 :rule cong :premises (@p56 @p55) :args ((tptp.sep @t34 (tptp.sep @t32 @t37)))) % 1.72/1.95 (step @p58 :rule instantiate :premises (@p1) :args ((@list @t34 @t32 @t37))) % 1.72/1.95 (step @p59 :rule symm :premises (@p58)) % 1.72/1.95 (step @p60 :rule trans :premises (@p59 @p57)) % 1.72/1.95 (step @p61 :rule refl :args (@t35)) % 1.72/1.95 (step @p62 :rule cong :premises (@p61 @p60) :args ((tptp.sep @t35 (tptp.sep @t32 @t49)))) % 1.72/1.95 (step @p63 :rule instantiate :premises (@p1) :args ((@list @t35 @t32 @t49))) % 1.72/1.95 (step @p64 :rule symm :premises (@p63)) % 1.72/1.95 (step @p65 :rule instantiate :premises (@p1) :args ((@list @t35 @t34 @t37))) % 1.72/1.95 (step @p66 :rule symm :premises (@p65)) % 1.72/1.95 (step @p67 :rule eq-symm :args (@t38 @t50)) % 1.72/1.95 (step @p68 :rule refl :args (@t4)) % 1.72/1.95 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t4 @t51))) % 1.72/1.95 (assume-push @p183 @t4) % 1.72/1.95 (step @p71 :rule instantiate :premises (@p1) :args (@t52)) % 1.72/1.95 (step-pop @p184 :rule scope :premises (@p71)) % 1.72/1.95 (step @p72 :rule process_scope :premises (@p184) :args (@t51)) % 1.72/1.95 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 1.72/1.95 (step @p75 :rule implies_elim :premises (@p74)) % 1.72/1.95 (step @p76 :rule chain_m_resolution :premises (@p75 @p1) :args ((= @t50 @t38) @t47 (@list @t4))) % 1.72/1.95 (step @p77 :rule cong :premises (@p56 @p76) :args ((tptp.sep @t34 @t50))) % 1.72/1.95 (step @p71 :rule instantiate :premises (@p1) :args (@t52)) % 1.72/1.95 (step @p78 :rule refl :args (tptp.x8)) % 1.72/1.95 (step @p79 :rule refl :args (@t53)) % 1.72/1.95 (step @p80 :rule refl :args (@t65)) % 1.72/1.95 (step @p81 :rule nary_cong :premises (@p80 @p41 @p79) :args (@t66)) % 1.72/1.95 (step @p82 :rule cong :premises (@p44 @p81) :args ((=> @t16 @t66))) % 1.72/1.95 (assume-push @p185 @t16) % 1.72/1.95 (step @p84 :rule instantiate :premises (@p7) :args ((@list tptp.x16 tptp.x7 tptp.x12 @t60))) % 1.72/1.95 (step-pop @p186 :rule scope :premises (@p84)) % 1.72/1.95 (step @p85 :rule process_scope :premises (@p186) :args (@t66)) % 1.72/1.95 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 1.72/1.95 (step @p88 :rule implies_elim :premises (@p87)) % 1.72/1.95 (step @p89 :rule chain_m_resolution :premises (@p88 @p7) :args (@t67 @t47 @t48)) % 1.72/1.95 (step @p90 :rule instantiate :premises (@p1) :args ((@list @t30 @t28 @t27))) % 1.72/1.95 (step @p91 :rule symm :premises (@p90)) % 1.72/1.95 (step @p92 :rule instantiate :premises (@p1) :args ((@list @t25 @t24 @t23))) % 1.72/1.95 (step @p93 :rule symm :premises (@p92)) % 1.72/1.95 (step @p94 :rule refl :args (@t26)) % 1.72/1.95 (step @p95 :rule cong :premises (@p94 @p93) :args ((tptp.sep @t26 (tptp.sep @t24 @t54)))) % 1.72/1.95 (step @p96 :rule instantiate :premises (@p1) :args ((@list @t26 @t24 @t54))) % 1.72/1.95 (step @p97 :rule symm :premises (@p96)) % 1.72/1.95 (step @p98 :rule trans :premises (@p97 @p95)) % 1.72/1.95 (step @p99 :rule refl :args (@t30)) % 1.72/1.95 (step @p100 :rule cong :premises (@p99 @p98) :args ((tptp.sep @t30 (tptp.sep @t24 @t55)))) % 1.72/1.95 (step @p101 :rule instantiate :premises (@p1) :args ((@list @t30 @t24 @t55))) % 1.72/1.95 (step @p102 :rule symm :premises (@p101)) % 1.72/1.95 (step @p103 :rule trans :premises (@p102 @p100)) % 1.72/1.95 (step @p104 :rule refl :args (@t28)) % 1.72/1.95 (step @p105 :rule cong :premises (@p104 @p103) :args ((tptp.sep @t28 (tptp.sep @t24 @t56)))) % 1.72/1.95 (step @p106 :rule instantiate :premises (@p1) :args ((@list @t28 @t24 @t56))) % 1.72/1.95 (step @p107 :rule symm :premises (@p106)) % 1.72/1.95 (step @p108 :rule trans :premises (@p107 @p105 @p91)) % 1.72/1.95 (step @p109 :rule cong :premises (@p61 @p108) :args ((tptp.sep @t35 (tptp.sep @t24 @t57)))) % 1.72/1.95 (step @p110 :rule instantiate :premises (@p1) :args ((@list @t35 @t24 @t57))) % 1.72/1.95 (step @p111 :rule symm :premises (@p110)) % 1.72/1.95 (step @p112 :rule trans :premises (@p111 @p109)) % 1.72/1.95 (step @p113 :rule refl :args (@t33)) % 1.72/1.95 (step @p114 :rule cong :premises (@p113 @p112) :args ((tptp.sep @t33 (tptp.sep @t24 @t58)))) % 1.72/1.95 (step @p115 :rule instantiate :premises (@p1) :args ((@list @t33 @t24 @t58))) % 1.72/1.95 (step @p116 :rule symm :premises (@p115)) % 1.72/1.95 (step @p117 :rule trans :premises (@p116 @p114)) % 1.72/1.95 (step @p118 :rule cong :premises (@p56 @p117) :args ((tptp.sep @t34 (tptp.sep @t24 @t59)))) % 1.72/1.95 (step @p119 :rule instantiate :premises (@p1) :args ((@list @t34 @t24 @t59))) % 1.72/1.95 (step @p120 :rule symm :premises (@p119)) % 1.72/1.95 (step @p121 :rule refl :args (@t60)) % 1.72/1.95 (step @p122 :rule refl :args (tptp.x12)) % 1.72/1.95 (step @p123 :rule refl :args (@t68)) % 1.72/1.95 (step @p124 :rule refl :args (@t74)) % 1.72/1.95 (step @p125 :rule nary_cong :premises (@p124 @p41 @p123) :args (@t75)) % 1.72/1.95 (step @p126 :rule cong :premises (@p44 @p125) :args ((=> @t16 @t75))) % 1.72/1.95 (assume-push @p187 @t16) % 1.72/1.95 (step @p128 :rule instantiate :premises (@p7) :args ((@list tptp.x16 tptp.x7 tptp.x3 @t71))) % 1.72/1.95 (step-pop @p188 :rule scope :premises (@p128)) % 1.72/1.95 (step @p129 :rule process_scope :premises (@p188) :args (@t75)) % 1.72/1.95 (step @p131 :rule eq_resolve :premises (@p129 @p126)) % 1.72/1.95 (step @p132 :rule implies_elim :premises (@p131)) % 1.72/1.95 (step @p133 :rule chain_m_resolution :premises (@p132 @p7) :args (@t76 @t47 @t48)) % 1.72/1.95 (step @p134 :rule instantiate :premises (@p1) :args ((@list @t34 @t33 @t31))) % 1.72/1.95 (step @p135 :rule symm :premises (@p134)) % 1.72/1.95 (step @p136 :rule instantiate :premises (@p1) :args ((@list @t34 @t30 @t29))) % 1.72/1.95 (step @p137 :rule symm :premises (@p136)) % 1.72/1.95 (step @p138 :rule cong :premises (@p113 @p137) :args ((tptp.sep @t33 (tptp.sep @t30 @t69)))) % 1.72/1.95 (step @p139 :rule instantiate :premises (@p1) :args ((@list @t33 @t30 @t69))) % 1.72/1.95 (step @p140 :rule symm :premises (@p139)) % 1.72/1.95 (step @p141 :rule trans :premises (@p140 @p138 @p135)) % 1.72/1.95 (step @p142 :rule cong :premises (@p61 @p141) :args ((tptp.sep @t35 (tptp.sep @t30 @t70)))) % 1.72/1.95 (step @p143 :rule instantiate :premises (@p1) :args ((@list @t35 @t30 @t70))) % 1.72/1.95 (step @p144 :rule symm :premises (@p143)) % 1.72/1.95 (step @p145 :rule trans :premises (@p144 @p142)) % 1.72/1.95 (step @p146 :rule refl :args (@t32)) % 1.72/1.95 (step @p147 :rule cong :premises (@p146 @p145) :args (@t72)) % 1.72/1.95 (step @p148 :rule trans :premises (@p147 @p64 @p62)) % 1.72/1.95 (step @p149 :rule cong :premises (@p148) :args (@t73)) % 1.72/1.95 (step @p150 :rule trans :premises (@p149 @p53)) % 1.72/1.95 (step @p151 :rule true_elim :premises (@p150)) % 1.72/1.95 (step @p152 :rule cnf_or_pos :args (@t76)) % 1.72/1.95 (step @p153 :rule reordering :premises (@p152) :args ((or @t22 @t68 @t74 (not @t76)))) % 1.72/1.95 (step @p154 :rule chain_m_resolution :premises (@p153 @p21 @p151 @p133) :args (@t68 @t77 (@list @t22 @t73 @t76))) % 1.72/1.95 (step @p155 :rule cong :premises (@p154 @p122) :args (@t61)) % 1.72/1.95 (step @p156 :rule cong :premises (@p155 @p121) :args (@t62)) % 1.72/1.95 (step @p157 :rule trans :premises (@p156 @p120 @p118 @p77 @p66)) % 1.72/1.95 (step @p158 :rule cong :premises (@p146 @p157) :args (@t63)) % 1.72/1.95 (step @p159 :rule trans :premises (@p158 @p64 @p62)) % 1.72/1.95 (step @p160 :rule cong :premises (@p159) :args (@t64)) % 1.72/1.95 (step @p161 :rule trans :premises (@p160 @p53)) % 1.72/1.95 (step @p162 :rule true_elim :premises (@p161)) % 1.72/1.95 (step @p163 :rule cnf_or_pos :args (@t67)) % 1.72/1.95 (step @p164 :rule reordering :premises (@p163) :args ((or @t22 @t53 @t65 (not @t67)))) % 1.72/1.95 (step @p165 :rule chain_m_resolution :premises (@p164 @p21 @p162 @p89) :args (@t53 @t77 (@list @t22 @t64 @t67))) % 1.72/1.95 (step @p166 :rule cong :premises (@p165 @p78) :args (@t39)) % 1.72/1.95 (step @p167 :rule cong :premises (@p166 @p71) :args (@t40)) % 1.72/1.95 (step @p168 :rule trans :premises (@p167 @p77 @p66)) % 1.72/1.95 (step @p169 :rule cong :premises (@p146 @p168) :args (@t41)) % 1.72/1.95 (step @p170 :rule trans :premises (@p169 @p64 @p62)) % 1.72/1.95 (step @p171 :rule cong :premises (@p170) :args (@t42)) % 1.72/1.95 (step @p172 :rule trans :premises (@p171 @p53)) % 1.72/1.95 (step @p173 :rule true_elim :premises (@p172)) % 1.72/1.95 (step @p174 :rule false_intro :premises (@p17)) % 1.72/1.95 (step @p175 :rule cong :premises (@p154 @p78) :args (@t36)) % 1.72/1.95 (step @p176 :rule trans :premises (@p175 @p174)) % 1.72/1.95 (step @p177 :rule false_elim :premises (@p176)) % 1.72/1.95 (step @p178 :rule cnf_or_pos :args (@t46)) % 1.72/1.95 (step @p179 :rule reordering :premises (@p178) :args ((or @t22 @t36 @t43 (not @t46)))) % 1.72/1.95 (step @p180 false :rule chain_m_resolution :premises (@p179 @p177 @p173 @p52 @p21) :args (false (@list true false false true) (@list @t36 @t42 @t46 @t22))) % 1.72/1.95 ) % 1.72/1.96 % SZS output end Proof % 1.72/1.96 % cvc5 exiting %------------------------------------------------------------------------------