%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV539-1.007 : 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 : n017.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 0.47s 0.71s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV539-1.007 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 20:39:16 EDT 2026 % 0.17/0.34 % CPUTime : % 0.40/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.71 % SZS status Unsatisfiable % 0.47/0.71 % SZS output start Proof % 0.47/0.72 ( % 0.47/0.72 (declare-sort $$unsorted 0) % 0.47/0.72 (declare-const tptp.i0 $$unsorted) % 0.47/0.72 (declare-const tptp.i2 $$unsorted) % 0.47/0.72 (declare-const tptp.i3 $$unsorted) % 0.47/0.72 (declare-const tptp.a1 $$unsorted) % 0.47/0.72 (declare-const tptp.i4 $$unsorted) % 0.47/0.72 (declare-const tptp.i1 $$unsorted) % 0.47/0.72 (declare-const tptp.i5 $$unsorted) % 0.47/0.72 (declare-const tptp.select (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.72 (declare-const tptp.store (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.72 (define @t1 () (@var "E" $$unsorted)) % 0.47/0.72 (define @t2 () (@var "I" $$unsorted)) % 0.47/0.72 (define @t3 () (@var "A" $$unsorted)) % 0.47/0.72 (define @t4 () (tptp.store @t3 @t2 @t1)) % 0.47/0.72 (define @t5 () (tptp.select @t4 @t2)) % 0.47/0.72 (define @t6 () (forall (@list @t3 @t2 @t1) (= @t5 @t1))) % 0.47/0.72 (define @t7 () (@var "J" $$unsorted)) % 0.47/0.72 (define @t8 () (= @t2 @t7)) % 0.47/0.72 (define @t9 () (tptp.store @t3 @t2 (tptp.select @t3 @t2))) % 0.47/0.72 (define @t10 () (forall (@list @t3 @t2) (= @t9 @t3))) % 0.47/0.72 (define @t11 () (@var "F" $$unsorted)) % 0.47/0.72 (define @t12 () (forall (@list @t2 @t7 @t3 @t1 @t11) (or @t8 (= (tptp.store @t4 @t7 @t11) (tptp.store (tptp.store @t3 @t7 @t11) @t2 @t1))))) % 0.47/0.72 (define @t13 () (tptp.store (tptp.store tptp.a1 tptp.i4 (tptp.select tptp.a1 tptp.i3)) tptp.i3 (tptp.select tptp.a1 tptp.i4))) % 0.47/0.72 (define @t14 () (tptp.select @t13 tptp.i1)) % 0.47/0.72 (define @t15 () (tptp.select @t13 tptp.i2)) % 0.47/0.72 (define @t16 () (tptp.store @t13 tptp.i1 @t15)) % 0.47/0.72 (define @t17 () (tptp.store @t16 tptp.i2 @t14)) % 0.47/0.72 (define @t18 () (tptp.store (tptp.store @t17 tptp.i5 (tptp.select @t17 tptp.i0)) tptp.i0 (tptp.select @t17 tptp.i5))) % 0.47/0.72 (define @t19 () (tptp.select @t18 tptp.i5)) % 0.47/0.72 (define @t20 () (tptp.select @t18 tptp.i2)) % 0.47/0.72 (define @t21 () (tptp.store (tptp.store @t18 tptp.i5 @t20) tptp.i2 @t19)) % 0.47/0.72 (define @t22 () (tptp.select @t21 tptp.i1)) % 0.47/0.72 (define @t23 () (tptp.store @t21 tptp.i1 @t22)) % 0.47/0.72 (define @t24 () (tptp.store @t23 tptp.i1 @t22)) % 0.47/0.72 (define @t25 () (tptp.select @t24 tptp.i5)) % 0.47/0.72 (define @t26 () (tptp.select @t24 tptp.i2)) % 0.47/0.72 (define @t27 () (tptp.store @t24 tptp.i5 @t26)) % 0.47/0.72 (define @t28 () (tptp.store @t27 tptp.i2 @t25)) % 0.47/0.72 (define @t29 () (tptp.select @t28 tptp.i5)) % 0.47/0.72 (define @t30 () (tptp.select @t28 tptp.i2)) % 0.47/0.72 (define @t31 () (tptp.store (tptp.store @t13 tptp.i2 @t14) tptp.i1 @t15)) % 0.47/0.72 (define @t32 () (tptp.select @t31 tptp.i0)) % 0.47/0.72 (define @t33 () (tptp.select @t31 tptp.i5)) % 0.47/0.72 (define @t34 () (tptp.store @t31 tptp.i0 @t33)) % 0.47/0.72 (define @t35 () (tptp.store @t34 tptp.i5 @t32)) % 0.47/0.72 (define @t36 () (tptp.select @t35 tptp.i2)) % 0.47/0.72 (define @t37 () (tptp.select @t35 tptp.i5)) % 0.47/0.72 (define @t38 () (tptp.store @t35 tptp.i2 @t37)) % 0.47/0.72 (define @t39 () (tptp.store @t38 tptp.i5 @t36)) % 0.47/0.72 (define @t40 () (tptp.select @t39 tptp.i1)) % 0.47/0.72 (define @t41 () (tptp.store @t39 tptp.i1 @t40)) % 0.47/0.72 (define @t42 () (tptp.store @t41 tptp.i1 @t40)) % 0.47/0.72 (define @t43 () (tptp.select @t42 tptp.i5)) % 0.47/0.72 (define @t44 () (tptp.select @t42 tptp.i2)) % 0.47/0.72 (define @t45 () (tptp.store @t42 tptp.i5 @t44)) % 0.47/0.72 (define @t46 () (tptp.store @t45 tptp.i2 @t43)) % 0.47/0.72 (define @t47 () (tptp.select @t46 tptp.i5)) % 0.47/0.72 (define @t48 () (tptp.select @t46 tptp.i2)) % 0.47/0.72 (define @t49 () (tptp.store @t46 tptp.i5 @t48)) % 0.47/0.72 (define @t50 () (tptp.store @t49 tptp.i2 @t47)) % 0.47/0.72 (define @t51 () (= @t50 (tptp.store (tptp.store @t28 tptp.i5 @t30) tptp.i2 @t29))) % 0.47/0.72 (define @t52 () (tptp.store @t46 tptp.i2 @t47)) % 0.47/0.72 (define @t53 () (tptp.store @t52 tptp.i5 @t48)) % 0.47/0.72 (define @t54 () (= @t50 @t53)) % 0.47/0.72 (define @t55 () (= tptp.i5 tptp.i2)) % 0.47/0.72 (define @t56 () (or @t55 @t54)) % 0.47/0.72 (define @t57 () (= tptp.i2 tptp.i5)) % 0.47/0.72 (define @t58 () (or @t57 @t54)) % 0.47/0.72 (define @t59 () (@list false)) % 0.47/0.72 (define @t60 () (@list @t12)) % 0.47/0.72 (define @t61 () (= @t46 (tptp.store @t46 tptp.i2 @t48))) % 0.47/0.72 (define @t62 () (tptp.store @t46 tptp.i5 @t47)) % 0.47/0.72 (define @t63 () (= @t46 @t62)) % 0.47/0.72 (define @t64 () (and @t57 @t61 @t63)) % 0.47/0.72 (define @t65 () (not @t63)) % 0.47/0.72 (define @t66 () (not @t57)) % 0.47/0.72 (define @t67 () (@list false false false false)) % 0.47/0.72 (define @t68 () (tptp.store @t31 tptp.i5 @t32)) % 0.47/0.72 (define @t69 () (tptp.store @t68 tptp.i0 @t33)) % 0.47/0.72 (define @t70 () (= @t35 @t69)) % 0.47/0.72 (define @t71 () (= tptp.i0 tptp.i5)) % 0.47/0.72 (define @t72 () (or @t71 @t70)) % 0.47/0.72 (define @t73 () (tptp.store @t31 tptp.i0 @t32)) % 0.47/0.72 (define @t74 () (= @t31 @t73)) % 0.47/0.72 (define @t75 () (= @t31 (tptp.store @t31 tptp.i5 @t33))) % 0.47/0.72 (define @t76 () (and @t71 @t74 @t75)) % 0.47/0.72 (define @t77 () (= @t17 @t31)) % 0.47/0.72 (define @t78 () (or (= tptp.i1 tptp.i2) @t77)) % 0.47/0.72 (define @t79 () (= tptp.i2 tptp.i1)) % 0.47/0.72 (define @t80 () (or @t79 @t77)) % 0.47/0.72 (define @t81 () (tptp.store @t13 tptp.i2 @t15)) % 0.47/0.72 (define @t82 () (= @t13 @t81)) % 0.47/0.72 (define @t83 () (tptp.store @t13 tptp.i1 @t14)) % 0.47/0.72 (define @t84 () (= @t13 @t83)) % 0.47/0.72 (define @t85 () (and @t79 @t82 @t84)) % 0.47/0.72 (define @t86 () (tptp.select @t27 tptp.i5)) % 0.47/0.72 (define @t87 () (= @t29 @t86)) % 0.47/0.72 (define @t88 () (or @t57 @t87)) % 0.47/0.72 (define @t89 () (tptp.select @t45 tptp.i5)) % 0.47/0.72 (define @t90 () (= @t47 @t89)) % 0.47/0.72 (define @t91 () (or @t57 @t90)) % 0.47/0.72 (define @t92 () (tptp.store @t18 tptp.i2 @t19)) % 0.47/0.72 (define @t93 () (tptp.store @t92 tptp.i5 @t20)) % 0.47/0.72 (define @t94 () (= @t21 @t93)) % 0.47/0.72 (define @t95 () (or @t55 @t94)) % 0.47/0.72 (define @t96 () (or @t57 @t94)) % 0.47/0.72 (define @t97 () (= @t26 @t86)) % 0.47/0.72 (define @t98 () (= @t25 @t30)) % 0.47/0.72 (define @t99 () (= @t44 @t89)) % 0.47/0.72 (define @t100 () (= @t43 @t48)) % 0.47/0.72 (define @t101 () (= @t21 @t23)) % 0.47/0.72 (define @t102 () (= @t39 @t41)) % 0.47/0.72 (define @t103 () (tptp.select @t23 tptp.i5)) % 0.47/0.72 (define @t104 () (tptp.store @t23 tptp.i5 @t26)) % 0.47/0.72 (define @t105 () (tptp.store @t41 tptp.i5 @t44)) % 0.47/0.72 (define @t106 () (and @t97 @t98 @t99 @t100 @t87 @t90 @t101 @t102 @t77 @t94 @t70)) % 0.47/0.72 (define @t107 () (not @t70)) % 0.47/0.72 (define @t108 () (not @t77)) % 0.47/0.72 (define @t109 () (not @t102)) % 0.47/0.72 (define @t110 () (not @t101)) % 0.47/0.72 (define @t111 () (not @t100)) % 0.47/0.72 (define @t112 () (not @t98)) % 0.47/0.72 (define @t113 () (tptp.store @t18 tptp.i2 @t20)) % 0.47/0.72 (define @t114 () (= @t18 @t113)) % 0.47/0.72 (define @t115 () (tptp.store @t24 tptp.i2 @t26)) % 0.47/0.72 (define @t116 () (= @t24 @t115)) % 0.47/0.72 (define @t117 () (tptp.store @t28 tptp.i2 @t30)) % 0.47/0.72 (define @t118 () (= @t28 @t117)) % 0.47/0.72 (define @t119 () (tptp.store @t35 tptp.i5 @t37)) % 0.47/0.72 (define @t120 () (= @t35 @t119)) % 0.47/0.72 (define @t121 () (= @t42 (tptp.store @t42 tptp.i2 @t44))) % 0.47/0.72 (define @t122 () (= @t42 (tptp.store @t42 tptp.i5 @t43))) % 0.47/0.72 (define @t123 () (tptp.store @t35 tptp.i5 @t36)) % 0.47/0.72 (define @t124 () (and @t98 @t100 @t57 @t114 @t101 @t116 @t118 @t120 @t102 @t121 @t122 @t63 @t77 @t70 @t54)) % 0.47/0.72 (assume @p1 @t6) % 0.47/0.72 (assume @p2 (forall (@list @t2 @t7 @t3 @t1) (or @t8 (= (tptp.select @t4 @t7) (tptp.select @t3 @t7))))) % 0.47/0.72 (assume @p3 @t10) % 0.47/0.72 (assume @p4 (forall (@list @t3 @t2 @t1 @t11) (= (tptp.store @t4 @t2 @t11) (tptp.store @t3 @t2 @t11)))) % 0.47/0.72 (assume @p5 @t12) % 0.47/0.72 (assume @p6 (not @t51)) % 0.47/0.72 (step @p7 :rule eq-symm :args (@t5 @t1)) % 0.47/0.72 (step @p8 :rule cong :premises (@p7) :args (@t6)) % 0.47/0.72 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 0.47/0.72 (step @p10 :rule instantiate :premises (@p9) :args ((@list @t27 tptp.i2 @t25))) % 0.47/0.72 (step @p11 :rule instantiate :premises (@p9) :args ((@list @t45 tptp.i2 @t43))) % 0.47/0.72 (step @p12 :rule eq-symm :args (@t9 @t3)) % 0.47/0.72 (step @p13 :rule cong :premises (@p12) :args (@t10)) % 0.47/0.72 (step @p14 :rule eq_resolve :premises (@p3 @p13)) % 0.47/0.72 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t18 tptp.i2))) % 0.47/0.72 (step @p16 :rule instantiate :premises (@p14) :args ((@list @t21 tptp.i1))) % 0.47/0.72 (step @p17 :rule instantiate :premises (@p14) :args ((@list @t24 tptp.i2))) % 0.47/0.72 (step @p18 :rule instantiate :premises (@p14) :args ((@list @t28 tptp.i2))) % 0.47/0.72 (step @p19 :rule instantiate :premises (@p14) :args ((@list @t35 tptp.i5))) % 0.47/0.72 (step @p20 :rule instantiate :premises (@p14) :args ((@list @t39 tptp.i1))) % 0.47/0.72 (step @p21 :rule instantiate :premises (@p14) :args ((@list @t42 tptp.i2))) % 0.47/0.72 (step @p22 :rule instantiate :premises (@p14) :args ((@list @t42 tptp.i5))) % 0.47/0.72 (step @p23 :rule instantiate :premises (@p14) :args ((@list @t46 tptp.i5))) % 0.47/0.72 (step @p24 :rule refl :args (@t54)) % 0.47/0.72 (step @p25 :rule eq-symm :args (tptp.i5 tptp.i2)) % 0.47/0.72 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t56)) % 0.47/0.72 (step @p27 :rule refl :args (@t12)) % 0.47/0.72 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t12 @t56))) % 0.47/0.72 (assume-push @p416 @t12) % 0.47/0.72 (step @p30 :rule instantiate :premises (@p5) :args ((@list tptp.i5 tptp.i2 @t46 @t48 @t47))) % 0.47/0.72 (step-pop @p417 :rule scope :premises (@p30)) % 0.47/0.72 (step @p31 :rule process_scope :premises (@p417) :args (@t56)) % 0.47/0.72 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.47/0.72 (step @p34 :rule implies_elim :premises (@p33)) % 0.47/0.72 (step @p35 :rule chain_m_resolution :premises (@p34 @p5) :args (@t58 @t59 @t60)) % 0.47/0.72 (step @p36 :rule cnf_or_pos :args (@t58)) % 0.47/0.72 (step @p37 :rule reordering :premises (@p36) :args ((or @t57 @t54 (not @t58)))) % 0.47/0.72 (step @p38 :rule instantiate :premises (@p14) :args ((@list @t46 tptp.i2))) % 0.47/0.72 (assume-push @p418 @t57) % 0.47/0.72 (assume-push @p419 @t61) % 0.47/0.72 (assume-push @p420 @t63) % 0.47/0.72 (assume-push @p421 @t57) % 0.47/0.72 (assume-push @p422 @t63) % 0.47/0.72 (assume-push @p423 @t61) % 0.47/0.72 (step @p45 :rule refl :args (@t48)) % 0.47/0.72 (step @p46 :rule refl :args (tptp.i5)) % 0.47/0.72 (step @p47 :rule refl :args (@t47)) % 0.47/0.72 (step @p48 :rule symm :premises (@p418)) % 0.47/0.72 (step @p49 :rule refl :args (@t46)) % 0.47/0.72 (step @p50 :rule cong :premises (@p49 @p48 @p47) :args (@t62)) % 0.47/0.72 (step @p51 :rule trans :premises (@p23 @p50)) % 0.47/0.72 (step @p52 :rule cong :premises (@p51 @p46 @p45) :args (@t49)) % 0.47/0.72 (step @p53 :rule cong :premises (@p49 @p48) :args (@t47)) % 0.47/0.72 (step @p54 :rule symm :premises (@p38)) % 0.47/0.72 (step @p55 :rule cong :premises (@p49 @p48 @p45) :args (@t49)) % 0.47/0.72 (step @p56 :rule trans :premises (@p55 @p54)) % 0.47/0.72 (step @p57 :rule cong :premises (@p56 @p418 @p53) :args (@t50)) % 0.47/0.72 (step @p58 :rule trans :premises (@p57 @p52)) % 0.47/0.72 (step-pop @p424 :rule scope :premises (@p58)) % 0.47/0.72 (step-pop @p425 :rule scope :premises (@p424)) % 0.47/0.72 (step-pop @p426 :rule scope :premises (@p425)) % 0.47/0.72 (step @p59 :rule process_scope :premises (@p426) :args (@t54)) % 0.47/0.72 (step @p63 :rule and_intro :premises (@p418 @p23 @p38)) % 0.47/0.72 (step @p64 :rule modus_ponens :premises (@p63 @p59)) % 0.47/0.72 (step-pop @p427 :rule scope :premises (@p64)) % 0.47/0.72 (step-pop @p428 :rule scope :premises (@p427)) % 0.47/0.72 (step-pop @p429 :rule scope :premises (@p428)) % 0.47/0.72 (step @p65 :rule process_scope :premises (@p429) :args (@t54)) % 0.47/0.72 (step @p69 :rule implies_elim :premises (@p65)) % 0.47/0.72 (step @p70 :rule cnf_and_neg :args (@t64)) % 0.47/0.72 (step @p71 :rule resolution :premises (@p70 @p69) :args (true @t64)) % 0.47/0.72 (step @p72 :rule reordering :premises (@p71) :args ((or @t54 @t66 (not @t61) @t65))) % 0.47/0.72 (step @p73 :rule chain_m_resolution :premises (@p72 @p23 @p38 @p37 @p35) :args (@t54 @t67 (@list @t63 @t61 @t57 @t58))) % 0.47/0.72 (step @p74 :rule instantiate :premises (@p5) :args ((@list tptp.i0 tptp.i5 @t31 @t33 @t32))) % 0.47/0.72 (step @p75 :rule cnf_or_pos :args (@t72)) % 0.47/0.72 (step @p76 :rule reordering :premises (@p75) :args ((or @t71 @t70 (not @t72)))) % 0.47/0.72 (step @p77 :rule instantiate :premises (@p14) :args ((@list @t31 tptp.i0))) % 0.47/0.72 (step @p78 :rule instantiate :premises (@p14) :args ((@list @t31 tptp.i5))) % 0.47/0.72 (assume-push @p430 @t71) % 0.47/0.72 (assume-push @p431 @t74) % 0.47/0.72 (assume-push @p432 @t75) % 0.47/0.72 (assume-push @p433 @t71) % 0.47/0.72 (assume-push @p434 @t75) % 0.47/0.72 (assume-push @p435 @t74) % 0.47/0.72 (step @p85 :rule refl :args (@t31)) % 0.47/0.72 (step @p86 :rule cong :premises (@p85 @p430) :args (@t32)) % 0.47/0.72 (step @p87 :rule refl :args (tptp.i0)) % 0.47/0.72 (step @p88 :rule refl :args (@t32)) % 0.47/0.72 (step @p89 :rule cong :premises (@p85 @p430 @p88) :args (@t73)) % 0.47/0.72 (step @p90 :rule trans :premises (@p77 @p89)) % 0.47/0.72 (step @p91 :rule cong :premises (@p90 @p87 @p86) :args (@t73)) % 0.47/0.72 (step @p92 :rule symm :premises (@p430)) % 0.47/0.72 (step @p93 :rule symm :premises (@p78)) % 0.47/0.72 (step @p94 :rule refl :args (@t33)) % 0.47/0.72 (step @p95 :rule cong :premises (@p85 @p430 @p94) :args (@t34)) % 0.47/0.72 (step @p96 :rule trans :premises (@p95 @p93)) % 0.47/0.72 (step @p97 :rule cong :premises (@p96 @p92 @p88) :args (@t35)) % 0.47/0.72 (step @p98 :rule trans :premises (@p97 @p91)) % 0.47/0.72 (step-pop @p436 :rule scope :premises (@p98)) % 0.47/0.72 (step-pop @p437 :rule scope :premises (@p436)) % 0.47/0.72 (step-pop @p438 :rule scope :premises (@p437)) % 0.47/0.72 (step @p99 :rule process_scope :premises (@p438) :args (@t70)) % 0.47/0.72 (step @p103 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(step @p87 :rule refl :args (tptp.i0)) % 0.47/0.72 (step @p331 :rule cong :premises (@p329 @p87) :args (@t32)) % 0.47/0.72 (step @p332 :rule cong :premises (@p329 @p46 @p331) :args (@t68)) % 0.47/0.72 (step @p333 :rule cong :premises (@p332 @p87 @p330) :args (@t69)) % 0.47/0.72 (step @p334 :rule trans :premises (@p515 @p333)) % 0.47/0.72 (step @p335 :rule cong :premises (@p334 @p46) :args (@t37)) % 0.47/0.72 (step @p336 :rule cong :premises (@p334 @p143) :args (@t36)) % 0.47/0.72 (step @p337 :rule cong :premises (@p334 @p46 @p336) :args (@t123)) % 0.47/0.72 (step @p338 :rule cong :premises (@p337 @p143 @p335) :args ((tptp.store @t123 tptp.i2 @t37))) % 0.47/0.72 (step @p339 :rule refl :args (@t37)) % 0.47/0.72 (step @p340 :rule symm :premises (@p337)) % 0.47/0.72 (step @p341 :rule symm :premises (@p336)) % 0.47/0.72 (step @p342 :rule symm :premises (@p334)) % 0.47/0.72 (step @p343 :rule cong :premises (@p342 @p504 @p341) :args (@t113)) % 0.47/0.72 (step @p344 :rule trans :premises (@p515 @p333 @p15 @p343 @p337)) % 0.47/0.72 (step @p345 :rule trans :premises (@p344 @p340)) % 0.47/0.72 (step @p346 :rule cong :premises (@p345 @p316 @p339) :args (@t119)) % 0.47/0.72 (step @p347 :rule cong :premises (@p342 @p504) :args (@t20)) % 0.47/0.72 (step @p348 :rule symm :premises (@p19)) % 0.47/0.72 (step @p349 :rule refl :args (@t35)) % 0.47/0.72 (step @p350 :rule cong :premises (@p349 @p504 @p339) :args (@t38)) % 0.47/0.72 (step @p351 :rule symm :premises (@p335)) % 0.47/0.72 (step @p352 :rule cong :premises (@p342 @p143 @p351) :args (@t92)) % 0.47/0.72 (step @p353 :rule trans :premises (@p352 @p350 @p348)) % 0.47/0.72 (step @p354 :rule cong :premises (@p353 @p46 @p347) :args (@t93)) % 0.47/0.72 (step @p355 :rule symm :premises (@p352)) % 0.47/0.72 (step @p356 :rule cong :premises (@p355 @p46 @p336) :args (@t39)) % 0.47/0.72 (step @p223 :rule symm :premises (@p20)) % 0.47/0.72 (step @p226 :rule refl :args (@t40)) % 0.47/0.72 (step @p227 :rule cong :premises (@p223 @p208 @p226) :args (@t42)) % 0.47/0.72 (step @p357 :rule symm :premises (@p22)) % 0.47/0.72 (step @p358 :rule refl :args (@t43)) % 0.47/0.72 (step @p359 :rule refl :args (@t42)) % 0.47/0.72 (step @p360 :rule cong :premises (@p359 @p504 @p358) :args ((tptp.store @t42 tptp.i2 @t43))) % 0.47/0.72 (step @p235 :rule symm :premises (@p11)) % 0.47/0.72 (step @p361 :rule symm :premises (@p227)) % 0.47/0.72 (step @p362 :rule trans :premises (@p20 @p361)) % 0.47/0.72 (step @p363 :rule symm :premises (@p21)) % 0.47/0.72 (step @p242 :rule refl :args (@t44)) % 0.47/0.72 (step @p364 :rule cong :premises (@p359 @p316 @p242) :args (@t45)) % 0.47/0.72 (step @p365 :rule cong :premises (@p361 @p46 @p242) :args (@t105)) % 0.47/0.72 (step @p366 :rule trans :premises (@p365 @p364 @p363 @p227 @p223)) % 0.47/0.72 (step @p243 :rule cong :premises (@p227 @p46 @p242) :args (@t45)) % 0.47/0.72 (step @p367 :rule trans :premises (@p243 @p366 @p362)) % 0.47/0.72 (step @p368 :rule cong :premises (@p367 @p316 @p235) :args ((tptp.store @t45 tptp.i5 @t48))) % 0.47/0.72 (step @p369 :rule refl :args (@t45)) % 0.47/0.72 (step @p370 :rule cong :premises (@p369 @p504 @p11) :args (@t46)) % 0.47/0.72 (step @p371 :rule symm :premises (@p23)) % 0.47/0.72 (step @p47 :rule refl :args (@t47)) % 0.47/0.72 (step @p49 :rule refl :args (@t46)) % 0.47/0.72 (step @p372 :rule cong :premises (@p49 @p504 @p47) :args (@t52)) % 0.47/0.72 (step @p373 :rule cong :premises (@p49 @p504) :args (@t48)) % 0.47/0.72 (step @p374 :rule trans :premises (@p372 @p371)) % 0.47/0.72 (step @p375 :rule cong :premises (@p374 @p316 @p373) :args (@t53)) % 0.47/0.72 (step @p376 :rule trans :premises (@p516 @p375 @p372 @p371 @p370 @p368 @p360 @p357 @p227 @p223 @p356 @p354 @p346 @p338 @p16 @p209 @p17 @p324 @p328 @p318 @p18 @p314)) % 0.47/0.72 (step-pop @p532 :rule scope :premises (@p376)) % 0.47/0.72 (step-pop @p533 :rule scope :premises (@p532)) % 0.47/0.72 (step-pop @p534 :rule scope :premises (@p533)) % 0.47/0.72 (step-pop @p535 :rule scope :premises (@p534)) % 0.47/0.72 (step-pop @p536 :rule scope :premises (@p535)) % 0.47/0.72 (step-pop @p537 :rule scope :premises (@p536)) % 0.47/0.72 (step-pop @p538 :rule scope :premises (@p537)) % 0.47/0.72 (step-pop @p539 :rule scope :premises (@p538)) % 0.47/0.72 (step-pop @p540 :rule scope :premises (@p539)) % 0.47/0.72 (step-pop @p541 :rule scope :premises (@p540)) % 0.47/0.72 (step-pop @p542 :rule scope :premises (@p541)) % 0.47/0.72 (step-pop @p543 :rule scope :premises (@p542)) % 0.47/0.72 (step-pop @p544 :rule scope :premises (@p543)) % 0.47/0.72 (step-pop @p545 :rule scope :premises (@p544)) % 0.47/0.72 (step-pop @p546 :rule scope :premises (@p545)) % 0.47/0.72 (step @p377 :rule process_scope :premises (@p546) :args (@t51)) % 0.47/0.72 (step @p393 :rule and_intro :premises (@p504 @p18 @p10 @p16 @p17 @p514 @p515 @p15 @p19 @p20 @p22 @p21 @p11 @p23 @p516)) % 0.47/0.72 (step @p394 :rule modus_ponens :premises (@p393 @p377)) % 0.47/0.72 (step-pop @p547 :rule scope :premises (@p394)) % 0.47/0.72 (step-pop @p548 :rule scope :premises (@p547)) % 0.47/0.72 (step-pop @p549 :rule scope :premises (@p548)) % 0.47/0.72 (step-pop @p550 :rule scope :premises (@p549)) % 0.47/0.72 (step-pop @p551 :rule scope :premises (@p550)) % 0.47/0.72 (step-pop @p552 :rule scope :premises (@p551)) % 0.47/0.72 (step-pop @p553 :rule scope :premises (@p552)) % 0.47/0.72 (step-pop @p554 :rule scope :premises (@p553)) % 0.47/0.72 (step-pop @p555 :rule scope :premises (@p554)) % 0.47/0.72 (step-pop @p556 :rule scope :premises (@p555)) % 0.47/0.72 (step-pop @p557 :rule scope :premises (@p556)) % 0.47/0.72 (step-pop @p558 :rule scope :premises (@p557)) % 0.47/0.72 (step-pop @p559 :rule scope :premises (@p558)) % 0.47/0.72 (step-pop @p560 :rule scope :premises (@p559)) % 0.47/0.72 (step-pop @p561 :rule scope :premises (@p560)) % 0.47/0.72 (step @p395 :rule process_scope :premises (@p561) :args (@t51)) % 0.47/0.72 (step @p411 :rule implies_elim :premises (@p395)) % 0.47/0.72 (step @p412 :rule cnf_and_neg :args (@t124)) % 0.47/0.72 (step @p413 :rule resolution :premises (@p412 @p411) :args (true @t124)) % 0.47/0.72 (step @p414 :rule reordering :premises (@p413) :args ((or @t51 @t112 @t111 @t66 (not @t114) @t110 (not @t116) (not @t118) (not @t120) @t109 (not @t121) (not @t122) @t65 @t108 @t107 (not @t54)))) % 0.47/0.72 (step @p415 false :rule chain_m_resolution :premises (@p414 @p278 @p163 @p113 @p73 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p11 @p10 @p6) :args (false (@list false false false false false false false false false false false false false false false true) (@list @t57 @t77 @t70 @t54 @t63 @t122 @t121 @t102 @t120 @t118 @t116 @t101 @t114 @t100 @t98 @t51))) % 0.47/0.72 ) % 0.47/0.72 % SZS output end Proof % 0.47/0.73 % cvc5 exiting %------------------------------------------------------------------------------