%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV539-1.004 : 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 : n016.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 09:01:51 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV539-1.004 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:40:54 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.i2 $$unsorted) % 0.39/0.58 (declare-const tptp.a1 $$unsorted) % 0.39/0.58 (declare-const tptp.i1 $$unsorted) % 0.39/0.58 (declare-const tptp.i3 $$unsorted) % 0.39/0.58 (declare-const tptp.i0 $$unsorted) % 0.39/0.58 (declare-const tptp.select (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.store (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (define @t1 () (@var "E" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "I" $$unsorted)) % 0.39/0.58 (define @t3 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t4 () (tptp.store @t3 @t2 @t1)) % 0.39/0.58 (define @t5 () (tptp.select @t4 @t2)) % 0.39/0.58 (define @t6 () (forall (@list @t3 @t2 @t1) (= @t5 @t1))) % 0.39/0.58 (define @t7 () (@var "J" $$unsorted)) % 0.39/0.58 (define @t8 () (= @t2 @t7)) % 0.39/0.58 (define @t9 () (forall (@list @t2 @t7 @t3 @t1) (or @t8 (= (tptp.select @t4 @t7) (tptp.select @t3 @t7))))) % 0.39/0.58 (define @t10 () (tptp.store @t3 @t2 (tptp.select @t3 @t2))) % 0.39/0.58 (define @t11 () (forall (@list @t3 @t2) (= @t10 @t3))) % 0.39/0.58 (define @t12 () (@var "F" $$unsorted)) % 0.39/0.58 (define @t13 () (forall (@list @t2 @t7 @t3 @t1 @t12) (or @t8 (= (tptp.store @t4 @t7 @t12) (tptp.store (tptp.store @t3 @t7 @t12) @t2 @t1))))) % 0.39/0.58 (define @t14 () (tptp.select tptp.a1 tptp.i1)) % 0.39/0.58 (define @t15 () (tptp.store tptp.a1 tptp.i1 @t14)) % 0.39/0.58 (define @t16 () (tptp.store @t15 tptp.i1 @t14)) % 0.39/0.58 (define @t17 () (tptp.select @t16 tptp.i3)) % 0.39/0.58 (define @t18 () (tptp.select @t16 tptp.i0)) % 0.39/0.58 (define @t19 () (tptp.store @t16 tptp.i3 @t18)) % 0.39/0.58 (define @t20 () (tptp.store @t19 tptp.i0 @t17)) % 0.39/0.58 (define @t21 () (tptp.select @t20 tptp.i3)) % 0.39/0.58 (define @t22 () (tptp.select @t20 tptp.i2)) % 0.39/0.58 (define @t23 () (tptp.store @t20 tptp.i3 @t22)) % 0.39/0.58 (define @t24 () (tptp.store @t23 tptp.i2 @t21)) % 0.39/0.58 (define @t25 () (tptp.select @t24 tptp.i0)) % 0.39/0.58 (define @t26 () (tptp.select @t24 tptp.i2)) % 0.39/0.58 (define @t27 () (tptp.store @t16 tptp.i0 @t17)) % 0.39/0.58 (define @t28 () (tptp.store @t27 tptp.i3 @t18)) % 0.39/0.58 (define @t29 () (tptp.select @t28 tptp.i3)) % 0.39/0.58 (define @t30 () (tptp.select @t28 tptp.i2)) % 0.39/0.58 (define @t31 () (tptp.store @t28 tptp.i3 @t30)) % 0.39/0.58 (define @t32 () (tptp.store @t31 tptp.i2 @t29)) % 0.39/0.58 (define @t33 () (tptp.select @t32 tptp.i2)) % 0.39/0.58 (define @t34 () (tptp.select @t32 tptp.i0)) % 0.39/0.58 (define @t35 () (tptp.store @t32 tptp.i2 @t34)) % 0.39/0.58 (define @t36 () (tptp.store @t35 tptp.i0 @t33)) % 0.39/0.58 (define @t37 () (= @t36 (tptp.store (tptp.store @t24 tptp.i0 @t26) tptp.i2 @t25))) % 0.39/0.58 (define @t38 () (tptp.store @t32 tptp.i0 @t33)) % 0.39/0.58 (define @t39 () (tptp.store @t38 tptp.i2 @t34)) % 0.39/0.58 (define @t40 () (= @t36 @t39)) % 0.39/0.58 (define @t41 () (= tptp.i2 tptp.i0)) % 0.39/0.58 (define @t42 () (or @t41 @t40)) % 0.39/0.58 (define @t43 () (= tptp.i0 tptp.i2)) % 0.39/0.58 (define @t44 () (or @t43 @t40)) % 0.39/0.58 (define @t45 () (@list false)) % 0.39/0.58 (define @t46 () (@list @t13)) % 0.39/0.58 (define @t47 () (= @t32 (tptp.store @t32 tptp.i0 @t34))) % 0.39/0.58 (define @t48 () (tptp.store @t32 tptp.i2 @t33)) % 0.39/0.58 (define @t49 () (= @t32 @t48)) % 0.39/0.58 (define @t50 () (and @t43 @t47 @t49)) % 0.39/0.58 (define @t51 () (not @t49)) % 0.39/0.58 (define @t52 () (not @t43)) % 0.39/0.58 (define @t53 () (= @t25 (tptp.select @t23 tptp.i0))) % 0.39/0.58 (define @t54 () (or @t41 @t53)) % 0.39/0.58 (define @t55 () (or @t43 @t53)) % 0.39/0.58 (define @t56 () (@list @t9)) % 0.39/0.58 (define @t57 () (tptp.select @t27 tptp.i2)) % 0.39/0.58 (define @t58 () (= @t30 @t57)) % 0.39/0.58 (define @t59 () (= tptp.i3 tptp.i2)) % 0.39/0.58 (define @t60 () (or @t59 @t58)) % 0.39/0.58 (define @t61 () (tptp.select @t27 tptp.i0)) % 0.39/0.58 (define @t62 () (= @t17 @t61)) % 0.39/0.58 (define @t63 () (= @t18 @t29)) % 0.39/0.58 (define @t64 () (= tptp.a1 @t15)) % 0.39/0.58 (define @t65 () (tptp.select @t15 tptp.i3)) % 0.39/0.58 (define @t66 () (tptp.select @t15 tptp.i0)) % 0.39/0.58 (define @t67 () (and @t62 @t63 @t43 @t59 @t64)) % 0.39/0.58 (define @t68 () (not @t64)) % 0.39/0.58 (define @t69 () (not @t59)) % 0.39/0.58 (define @t70 () (not @t63)) % 0.39/0.58 (define @t71 () (not @t62)) % 0.39/0.58 (define @t72 () (@list false false false false false)) % 0.39/0.58 (define @t73 () (tptp.select @t20 tptp.i0)) % 0.39/0.58 (define @t74 () (= @t17 @t73)) % 0.39/0.58 (define @t75 () (tptp.store @t16 tptp.i0 @t18)) % 0.39/0.58 (define @t76 () (= @t16 @t75)) % 0.39/0.58 (define @t77 () (tptp.store @t16 tptp.i3 @t17)) % 0.39/0.58 (define @t78 () (= @t16 @t77)) % 0.39/0.58 (define @t79 () (tptp.store @t20 tptp.i2 @t22)) % 0.39/0.58 (define @t80 () (= @t20 @t79)) % 0.39/0.58 (define @t81 () (tptp.store @t24 tptp.i2 @t26)) % 0.39/0.58 (define @t82 () (= @t24 @t81)) % 0.39/0.58 (define @t83 () (= @t28 (tptp.store @t28 tptp.i2 @t30))) % 0.39/0.58 (define @t84 () (tptp.store @t15 tptp.i3 @t18)) % 0.39/0.58 (define @t85 () (tptp.store @t15 tptp.i0 @t17)) % 0.39/0.58 (define @t86 () (and @t62 @t74 @t63 @t43 @t59 @t58 @t64 @t76 @t78 @t80 @t82 @t83 @t49 @t40)) % 0.39/0.58 (define @t87 () (not @t40)) % 0.39/0.58 (define @t88 () (not @t82)) % 0.39/0.58 (define @t89 () (not @t78)) % 0.39/0.58 (define @t90 () (not @t76)) % 0.39/0.58 (define @t91 () (not @t58)) % 0.39/0.58 (define @t92 () (not @t74)) % 0.39/0.58 (define @t93 () (= @t20 @t28)) % 0.39/0.58 (define @t94 () (and @t62 @t74 @t43 @t58 @t82 @t49 @t93 @t40)) % 0.39/0.58 (define @t95 () (not @t93)) % 0.39/0.58 (define @t96 () (or (= tptp.i3 tptp.i0) @t93)) % 0.39/0.58 (define @t97 () (= tptp.i0 tptp.i3)) % 0.39/0.58 (define @t98 () (or @t97 @t93)) % 0.39/0.58 (define @t99 () (not @t97)) % 0.39/0.58 (define @t100 () (and @t43 @t97 @t69)) % 0.39/0.58 (define @t101 () (@list true false)) % 0.39/0.58 (define @t102 () (tptp.select @t31 tptp.i0)) % 0.39/0.58 (define @t103 () (= @t34 @t102)) % 0.39/0.58 (define @t104 () (or @t41 @t103)) % 0.39/0.58 (define @t105 () (or @t43 @t103)) % 0.39/0.58 (define @t106 () (and @t97 @t64 @t76 @t78)) % 0.39/0.58 (define @t107 () (= @t21 @t26)) % 0.39/0.58 (define @t108 () (= @t29 @t33)) % 0.39/0.58 (define @t109 () (and @t107 @t108 @t53 @t103 @t93 @t40)) % 0.39/0.58 (assume @p1 @t6) % 0.39/0.58 (assume @p2 @t9) % 0.39/0.58 (assume @p3 @t11) % 0.39/0.58 (assume @p4 (forall (@list @t3 @t2 @t1 @t12) (= (tptp.store @t4 @t2 @t12) (tptp.store @t3 @t2 @t12)))) % 0.39/0.58 (assume @p5 @t13) % 0.39/0.58 (assume @p6 (not @t37)) % 0.39/0.58 (step @p7 :rule eq-symm :args (@t5 @t1)) % 0.39/0.58 (step @p8 :rule cong :premises (@p7) :args (@t6)) % 0.39/0.58 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 0.39/0.58 (step @p10 :rule instantiate :premises (@p9) :args ((@list @t23 tptp.i2 @t21))) % 0.39/0.58 (step @p11 :rule instantiate :premises (@p9) :args ((@list @t31 tptp.i2 @t29))) % 0.39/0.58 (step @p12 :rule refl :args (@t40)) % 0.39/0.58 (step @p13 :rule eq-symm :args (tptp.i2 tptp.i0)) % 0.39/0.58 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t42)) % 0.39/0.58 (step @p15 :rule refl :args (@t13)) % 0.39/0.58 (step @p16 :rule cong :premises (@p15 @p14) :args ((=> @t13 @t42))) % 0.39/0.58 (assume-push @p464 @t13) % 0.39/0.58 (step @p18 :rule instantiate :premises (@p5) :args ((@list tptp.i2 tptp.i0 @t32 @t34 @t33))) % 0.39/0.58 (step-pop @p465 :rule scope :premises (@p18)) % 0.39/0.58 (step @p19 :rule process_scope :premises (@p465) :args (@t42)) % 0.39/0.58 (step @p21 :rule eq_resolve :premises (@p19 @p16)) % 0.39/0.58 (step @p22 :rule implies_elim :premises (@p21)) % 0.39/0.58 (step @p23 :rule chain_m_resolution :premises (@p22 @p5) :args (@t44 @t45 @t46)) % 0.39/0.58 (step @p24 :rule cnf_or_pos :args (@t44)) % 0.39/0.58 (step @p25 :rule reordering :premises (@p24) :args ((or @t43 @t40 (not @t44)))) % 0.39/0.58 (step @p26 :rule eq-symm :args (@t10 @t3)) % 0.39/0.58 (step @p27 :rule cong :premises (@p26) :args (@t11)) % 0.39/0.58 (step @p28 :rule eq_resolve :premises (@p3 @p27)) % 0.39/0.58 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t32 tptp.i0))) % 0.39/0.58 (step @p30 :rule instantiate :premises (@p28) :args ((@list @t32 tptp.i2))) % 0.39/0.58 (assume-push @p466 @t43) % 0.39/0.58 (assume-push @p467 @t47) % 0.39/0.58 (assume-push @p468 @t49) % 0.39/0.58 (assume-push @p469 @t43) % 0.39/0.58 (assume-push @p470 @t49) % 0.39/0.58 (assume-push @p471 @t47) % 0.39/0.58 (step @p37 :rule symm :premises (@p466)) % 0.39/0.58 (step @p38 :rule refl :args (@t32)) % 0.39/0.58 (step @p39 :rule cong :premises (@p38 @p37) :args (@t33)) % 0.39/0.58 (step @p40 :rule refl :args (tptp.i2)) % 0.39/0.58 (step @p41 :rule refl :args (@t33)) % 0.39/0.58 (step @p42 :rule cong :premises (@p38 @p37 @p41) :args (@t48)) % 0.39/0.58 (step @p43 :rule trans :premises (@p30 @p42)) % 0.39/0.58 (step @p44 :rule cong :premises (@p43 @p40 @p39) :args (@t48)) % 0.39/0.58 (step @p45 :rule symm :premises (@p29)) % 0.39/0.58 (step @p46 :rule refl :args (@t34)) % 0.39/0.58 (step @p47 :rule cong :premises (@p38 @p37 @p46) :args (@t35)) % 0.39/0.58 (step @p48 :rule trans :premises (@p47 @p45)) % 0.39/0.58 (step @p49 :rule cong :premises (@p48 @p466 @p41) :args (@t36)) % 0.39/0.58 (step @p50 :rule trans :premises (@p49 @p44)) % 0.39/0.58 (step-pop @p472 :rule scope :premises (@p50)) % 0.39/0.58 (step-pop @p473 :rule scope :premises (@p472)) % 0.39/0.58 (step-pop @p474 :rule scope :premises (@p473)) % 0.39/0.58 (step @p51 :rule process_scope :premises (@p474) :args (@t40)) % 0.39/0.58 (step @p55 :rule and_intro :premises (@p466 @p30 @p29)) % 0.39/0.58 (step @p56 :rule modus_ponens :premises (@p55 @p51)) % 0.39/0.58 (step-pop @p475 :rule scope :premises (@p56)) % 0.39/0.58 (step-pop @p476 :rule scope :premises (@p475)) % 0.39/0.58 (step-pop @p477 :rule scope :premises (@p476)) % 0.39/0.58 (step @p57 :rule process_scope :premises (@p477) :args (@t40)) % 0.39/0.58 (step @p61 :rule implies_elim :premises (@p57)) % 0.39/0.58 (step @p62 :rule cnf_and_neg :args (@t50)) % 0.39/0.58 (step @p63 :rule resolution :premises (@p62 @p61) :args (true @t50)) % 0.39/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t40 @t52 (not @t47) @t51))) % 0.39/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p30 @p29 @p25 @p23) :args (@t40 (@list false false false false) (@list @t49 @t47 @t43 @t44))) % 0.39/0.58 (step @p66 :rule refl :args (@t53)) % 0.39/0.58 (step @p67 :rule nary_cong :premises (@p13 @p66) :args (@t54)) % 0.39/0.58 (step @p68 :rule refl :args (@t9)) % 0.39/0.58 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t9 @t54))) % 0.39/0.58 (assume-push @p478 @t9) % 0.39/0.58 (step @p71 :rule instantiate :premises (@p2) :args ((@list tptp.i2 tptp.i0 @t23 @t21))) % 0.39/0.58 (step-pop @p479 :rule scope :premises (@p71)) % 0.39/0.58 (step @p72 :rule process_scope :premises (@p479) :args (@t54)) % 0.39/0.58 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.39/0.58 (step @p75 :rule implies_elim :premises (@p74)) % 0.39/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p2) :args (@t55 @t45 @t56)) % 0.39/0.58 (step @p77 :rule instantiate :premises (@p2) :args ((@list tptp.i3 tptp.i2 @t27 @t18))) % 0.39/0.58 (step @p78 :rule cnf_or_pos :args (@t60)) % 0.39/0.58 (step @p79 :rule reordering :premises (@p78) :args ((or @t59 @t58 (not @t60)))) % 0.39/0.58 (step @p80 :rule instantiate :premises (@p9) :args ((@list @t16 tptp.i0 @t17))) % 0.39/0.58 (step @p81 :rule instantiate :premises (@p9) :args ((@list @t27 tptp.i3 @t18))) % 0.39/0.58 (step @p82 :rule instantiate :premises (@p28) :args ((@list tptp.a1 tptp.i1))) % 0.39/0.58 (assume-push @p480 @t62) % 0.39/0.58 (assume-push @p481 @t63) % 0.39/0.58 (assume-push @p482 @t43) % 0.39/0.58 (assume-push @p483 @t59) % 0.39/0.58 (assume-push @p484 @t64) % 0.39/0.58 (assume-push @p485 @t43) % 0.39/0.58 (assume-push @p486 @t62) % 0.39/0.58 (assume-push @p487 @t64) % 0.39/0.58 (assume-push @p488 @t59) % 0.39/0.58 (assume-push @p489 @t63) % 0.39/0.58 (step @p93 :rule refl :args (@t27)) % 0.39/0.58 (step @p94 :rule cong :premises (@p93 @p482) :args (@t61)) % 0.39/0.58 (step @p95 :rule refl :args (tptp.i3)) % 0.39/0.58 (step @p96 :rule refl :args (@t14)) % 0.39/0.58 (step @p97 :rule refl :args (tptp.i1)) % 0.39/0.58 (step @p98 :rule cong :premises (@p82 @p97 @p96) :args (@t15)) % 0.39/0.58 (step @p99 :rule cong :premises (@p98 @p95) :args (@t65)) % 0.39/0.58 (step @p100 :rule symm :premises (@p483)) % 0.39/0.58 (step @p101 :rule trans :premises (@p482 @p100)) % 0.39/0.58 (step @p102 :rule refl :args (@t15)) % 0.39/0.58 (step @p103 :rule cong :premises (@p102 @p101) :args (@t66)) % 0.39/0.58 (step @p104 :rule refl :args (tptp.i0)) % 0.39/0.58 (step @p105 :rule symm :premises (@p98)) % 0.39/0.58 (step @p106 :rule cong :premises (@p105 @p104) :args (@t18)) % 0.39/0.58 (step @p107 :rule symm :premises (@p81)) % 0.39/0.58 (step @p108 :rule refl :args (@t28)) % 0.39/0.58 (step @p109 :rule cong :premises (@p108 @p100) :args (@t30)) % 0.39/0.58 (step @p110 :rule trans :premises (@p109 @p107 @p106 @p103 @p99 @p80 @p94)) % 0.39/0.58 (step-pop @p490 :rule scope :premises (@p110)) % 0.39/0.58 (step-pop @p491 :rule scope :premises (@p490)) % 0.39/0.58 (step-pop @p492 :rule scope :premises (@p491)) % 0.39/0.58 (step-pop @p493 :rule scope :premises (@p492)) % 0.39/0.58 (step-pop @p494 :rule scope :premises (@p493)) % 0.39/0.58 (step @p111 :rule process_scope :premises (@p494) :args (@t58)) % 0.39/0.58 (step @p117 :rule and_intro :premises (@p482 @p80 @p82 @p483 @p81)) % 0.39/0.58 (step @p118 :rule modus_ponens :premises (@p117 @p111)) % 0.39/0.58 (step-pop @p495 :rule scope :premises (@p118)) % 0.39/0.58 (step-pop @p496 :rule scope :premises (@p495)) % 0.39/0.58 (step-pop @p497 :rule scope :premises (@p496)) % 0.39/0.58 (step-pop @p498 :rule scope :premises (@p497)) % 0.39/0.58 (step-pop @p499 :rule scope :premises (@p498)) % 0.39/0.58 (step @p119 :rule process_scope :premises (@p499) :args (@t58)) % 0.39/0.58 (step @p125 :rule implies_elim :premises (@p119)) % 0.39/0.58 (step @p126 :rule cnf_and_neg :args (@t67)) % 0.39/0.58 (step @p127 :rule 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@t82 @t74 @t62 @t37 @t59 @t40 @t49 @t83 @t82 @t80 @t78 @t76 @t64 @t63 @t74 @t62 @t37 @t58))) % 0.39/0.58 (step @p361 :rule cnf_or_pos :args (@t55)) % 0.39/0.58 (step @p362 :rule reordering :premises (@p361) :args ((or @t43 @t53 (not @t55)))) % 0.39/0.58 (step @p363 :rule chain_m_resolution :premises (@p362 @p360 @p76) :args (@t53 @t101 (@list @t43 @t55))) % 0.39/0.58 (step @p364 :rule refl :args (@t103)) % 0.39/0.58 (step @p365 :rule nary_cong :premises (@p13 @p364) :args (@t104)) % 0.39/0.58 (step @p366 :rule cong :premises (@p68 @p365) :args ((=> @t9 @t104))) % 0.39/0.58 (assume-push @p602 @t9) % 0.39/0.58 (step @p368 :rule instantiate :premises (@p2) :args ((@list tptp.i2 tptp.i0 @t31 @t29))) % 0.39/0.58 (step-pop @p603 :rule scope :premises (@p368)) % 0.39/0.58 (step @p369 :rule process_scope :premises (@p603) :args (@t104)) % 0.39/0.58 (step @p371 :rule eq_resolve :premises (@p369 @p366)) % 0.39/0.58 (step @p372 :rule implies_elim :premises (@p371)) % 0.39/0.58 (step @p373 :rule chain_m_resolution :premises (@p372 @p2) :args (@t105 @t45 @t56)) % 0.39/0.58 (step @p374 :rule cnf_or_pos :args (@t105)) % 0.39/0.58 (step @p375 :rule reordering :premises (@p374) :args ((or @t43 @t103 (not @t105)))) % 0.39/0.58 (step @p376 :rule chain_m_resolution :premises (@p375 @p360 @p373) :args (@t103 @t101 (@list @t43 @t105))) % 0.39/0.58 (assume-push @p604 @t97) % 0.39/0.58 (assume-push @p605 @t64) % 0.39/0.58 (assume-push @p606 @t76) % 0.39/0.58 (assume-push @p607 @t78) % 0.39/0.58 (assume-push @p608 @t64) % 0.39/0.58 (assume-push @p609 @t97) % 0.39/0.58 (assume-push @p610 @t78) % 0.39/0.58 (assume-push @p611 @t76) % 0.39/0.58 (step @p187 :rule refl :args (@t18)) % 0.39/0.58 (step @p95 :rule refl :args (tptp.i3)) % 0.39/0.58 (step @p201 :rule refl :args (@t17)) % 0.39/0.58 (step @p104 :rule refl :args (tptp.i0)) % 0.39/0.58 (step @p96 :rule refl :args (@t14)) % 0.39/0.58 (step @p97 :rule refl :args (tptp.i1)) % 0.39/0.58 (step @p98 :rule cong :premises (@p82 @p97 @p96) :args (@t15)) % 0.39/0.58 (step @p385 :rule cong :premises (@p98 @p104 @p201) :args (@t85)) % 0.39/0.58 (step @p386 :rule symm :premises (@p604)) % 0.39/0.58 (step @p105 :rule symm :premises (@p98)) % 0.39/0.58 (step @p387 :rule cong :premises (@p105 @p386 @p201) :args (@t77)) % 0.39/0.58 (step @p388 :rule trans :premises (@p82 @p98 @p132 @p387)) % 0.39/0.58 (step @p193 :rule trans :premises (@p82 @p98)) % 0.39/0.58 (step @p194 :rule symm :premises (@p193)) % 0.39/0.58 (step @p389 :rule trans :premises (@p194 @p388 @p385)) % 0.39/0.58 (step @p390 :rule cong :premises (@p389 @p95 @p187) :args (@t19)) % 0.39/0.58 (step @p391 :rule cong :premises (@p98 @p104) :args (@t66)) % 0.39/0.58 (step @p102 :rule refl :args (@t15)) % 0.39/0.58 (step @p392 :rule cong :premises (@p102 @p386) :args (@t65)) % 0.39/0.58 (step @p393 :rule cong :premises (@p105 @p95) :args (@t17)) % 0.39/0.58 (step @p394 :rule trans :premises (@p393 @p392 @p391)) % 0.39/0.58 (step @p199 :rule symm :premises (@p82)) % 0.39/0.58 (step @p395 :rule symm :premises (@p131)) % 0.39/0.58 (step @p190 :rule refl :args (@t16)) % 0.39/0.58 (step @p396 :rule cong :premises (@p190 @p386 @p187) :args (@t19)) % 0.39/0.58 (step @p188 :rule cong :premises (@p98 @p95 @p187) :args (@t84)) % 0.39/0.58 (step @p397 :rule trans :premises (@p188 @p396 @p395 @p105 @p199)) % 0.39/0.58 (step @p189 :rule symm :premises (@p188)) % 0.39/0.58 (step @p398 :rule trans :premises (@p189 @p397 @p193)) % 0.39/0.58 (step @p399 :rule cong :premises (@p398 @p604 @p394) :args (@t20)) % 0.39/0.58 (step @p400 :rule trans :premises (@p399 @p390)) % 0.39/0.58 (step-pop @p612 :rule scope :premises (@p400)) % 0.39/0.58 (step-pop @p613 :rule scope :premises (@p612)) % 0.39/0.58 (step-pop @p614 :rule scope :premises (@p613)) % 0.39/0.58 (step-pop @p615 :rule scope :premises (@p614)) % 0.39/0.58 (step @p401 :rule process_scope :premises (@p615) :args (@t93)) % 0.39/0.58 (step @p406 :rule and_intro :premises (@p82 @p604 @p132 @p131)) % 0.39/0.58 (step @p407 :rule modus_ponens :premises (@p406 @p401)) % 0.39/0.58 (step-pop @p616 :rule scope :premises (@p407)) % 0.39/0.58 (step-pop @p617 :rule scope :premises (@p616)) % 0.39/0.58 (step-pop @p618 :rule scope :premises (@p617)) % 0.39/0.58 (step-pop @p619 :rule scope :premises (@p618)) % 0.39/0.58 (step @p408 :rule process_scope :premises (@p619) :args (@t93)) % 0.39/0.58 (step @p413 :rule implies_elim :premises (@p408)) % 0.39/0.58 (step @p414 :rule cnf_and_neg :args (@t106)) % 0.39/0.58 (step @p415 :rule resolution :premises (@p414 @p413) :args (true @t106)) % 0.39/0.58 (step @p416 :rule reordering :premises (@p415) :args ((or @t93 @t99 @t68 @t90 @t89))) % 0.39/0.58 (step @p417 :rule chain_m_resolution :premises (@p416 @p132 @p131 @p82 @p327 @p325) :args (@t93 @t72 (@list @t78 @t76 @t64 @t97 @t98))) % 0.39/0.58 (assume-push @p620 @t107) % 0.39/0.58 (assume-push @p621 @t108) % 0.39/0.58 (assume-push @p622 @t53) % 0.39/0.58 (assume-push @p623 @t103) % 0.39/0.58 (assume-push @p624 @t93) % 0.39/0.58 (assume-push @p625 @t40) % 0.39/0.58 (assume-push @p626 @t93) % 0.39/0.58 (assume-push @p627 @t107) % 0.39/0.58 (assume-push @p628 @t108) % 0.39/0.58 (assume-push @p629 @t53) % 0.39/0.58 (assume-push @p630 @t103) % 0.39/0.58 (assume-push @p631 @t40) % 0.39/0.58 (step @p430 :rule symm :premises (@p622)) % 0.39/0.58 (step @p104 :rule refl :args (tptp.i0)) % 0.39/0.58 (step @p40 :rule refl :args (tptp.i2)) % 0.39/0.58 (step @p431 :rule symm :premises (@p624)) % 0.39/0.58 (step @p432 :rule cong :premises (@p431 @p40) :args (@t30)) % 0.39/0.58 (step @p95 :rule refl :args (tptp.i3)) % 0.39/0.58 (step @p433 :rule cong :premises (@p431 @p95 @p432) :args (@t31)) % 0.39/0.58 (step @p434 :rule cong :premises (@p433 @p104) :args (@t102)) % 0.39/0.58 (step @p435 :rule trans :premises (@p623 @p434 @p430)) % 0.39/0.58 (step @p436 :rule cong :premises (@p431 @p95) :args (@t29)) % 0.39/0.58 (step @p437 :rule symm :premises (@p11)) % 0.39/0.58 (step @p438 :rule trans :premises (@p437 @p436 @p10)) % 0.39/0.58 (step @p439 :rule cong :premises (@p433 @p40 @p436) :args (@t32)) % 0.39/0.58 (step @p440 :rule cong :premises (@p439 @p104 @p438) :args (@t38)) % 0.39/0.58 (step @p441 :rule cong :premises (@p440 @p40 @p435) :args (@t39)) % 0.39/0.58 (step @p442 :rule trans :premises (@p625 @p441)) % 0.39/0.58 (step-pop @p632 :rule scope :premises (@p442)) % 0.39/0.58 (step-pop @p633 :rule scope :premises (@p632)) % 0.39/0.58 (step-pop @p634 :rule scope :premises (@p633)) % 0.39/0.58 (step-pop @p635 :rule scope :premises (@p634)) % 0.39/0.58 (step-pop @p636 :rule scope :premises (@p635)) % 0.39/0.58 (step-pop @p637 :rule scope :premises (@p636)) % 0.39/0.58 (step @p443 :rule process_scope :premises (@p637) :args (@t37)) % 0.39/0.58 (step @p450 :rule and_intro :premises (@p624 @p10 @p11 @p622 @p623 @p625)) % 0.39/0.58 (step @p451 :rule modus_ponens :premises (@p450 @p443)) % 0.39/0.58 (step-pop @p638 :rule scope :premises (@p451)) % 0.39/0.58 (step-pop @p639 :rule scope :premises (@p638)) % 0.39/0.58 (step-pop @p640 :rule scope :premises (@p639)) % 0.39/0.58 (step-pop @p641 :rule scope :premises (@p640)) % 0.39/0.58 (step-pop @p642 :rule scope :premises (@p641)) % 0.39/0.58 (step-pop @p643 :rule scope :premises (@p642)) % 0.39/0.58 (step @p452 :rule process_scope :premises (@p643) :args (@t37)) % 0.39/0.58 (step @p459 :rule implies_elim :premises (@p452)) % 0.39/0.58 (step @p460 :rule cnf_and_neg :args (@t109)) % 0.39/0.58 (step @p461 :rule resolution :premises (@p460 @p459) :args (true @t109)) % 0.39/0.58 (step @p462 :rule reordering :premises (@p461) :args ((or @t37 (not @t107) (not @t108) (not @t53) (not @t103) @t95 @t87))) % 0.39/0.58 (step @p463 false :rule chain_m_resolution :premises (@p462 @p417 @p376 @p363 @p65 @p11 @p10 @p6) :args (false (@list false false false false false false true) (@list @t93 @t103 @t53 @t40 @t108 @t107 @t37))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------