%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP448-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:20:44 AM UTC 2026 % Result : Unsatisfiable 2.31s 2.57s % Output : Proof 2.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP448-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 01:08:34 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... % 2.31/2.57 % SZS status Unsatisfiable % 2.31/2.57 % SZS output start Proof % 2.31/2.58 ( % 2.31/2.58 (declare-sort $$unsorted 0) % 2.31/2.58 (declare-const tptp.b1 $$unsorted) % 2.31/2.58 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 2.31/2.58 (declare-const tptp.a1 $$unsorted) % 2.31/2.58 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 2.31/2.58 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 2.31/2.58 (define @t1 () (@var "B" $$unsorted)) % 2.31/2.58 (define @t2 () (@var "C" $$unsorted)) % 2.31/2.58 (define @t3 () (@var "A" $$unsorted)) % 2.31/2.58 (define @t4 () (tptp.divide @t1 @t1)) % 2.31/2.58 (define @t5 () (tptp.divide @t4 @t3)) % 2.31/2.58 (define @t6 () (tptp.divide @t3 (tptp.divide (tptp.divide (tptp.divide @t4 @t1) @t2) (tptp.divide @t5 @t2)))) % 2.31/2.58 (define @t7 () (@list @t3 @t1 @t2)) % 2.31/2.58 (define @t8 () (forall @t7 (= @t6 @t1))) % 2.31/2.58 (define @t9 () (tptp.inverse @t3)) % 2.31/2.58 (define @t10 () (@list @t3 @t1)) % 2.31/2.58 (define @t11 () (forall @t10 (= @t9 @t5))) % 2.31/2.58 (define @t12 () (tptp.inverse tptp.b1)) % 2.31/2.58 (define @t13 () (tptp.multiply @t12 tptp.b1)) % 2.31/2.58 (define @t14 () (tptp.inverse tptp.a1)) % 2.31/2.58 (define @t15 () (tptp.multiply @t14 tptp.a1)) % 2.31/2.58 (define @t16 () (= @t15 @t13)) % 2.31/2.58 (define @t17 () (tptp.divide tptp.a1 tptp.a1)) % 2.31/2.58 (define @t18 () (tptp.divide @t17 tptp.a1)) % 2.31/2.58 (define @t19 () (forall @t10 (= @t5 @t9))) % 2.31/2.58 (define @t20 () (= @t18 @t14)) % 2.31/2.58 (define @t21 () (@list tptp.a1 tptp.a1)) % 2.31/2.58 (define @t22 () (= @t14 @t18)) % 2.31/2.58 (define @t23 () (@list false)) % 2.31/2.58 (define @t24 () (@list @t19)) % 2.31/2.58 (define @t25 () (tptp.divide (tptp.divide tptp.b1 tptp.b1) tptp.b1)) % 2.31/2.58 (define @t26 () (= @t25 @t12)) % 2.31/2.58 (define @t27 () (@list tptp.b1 tptp.b1)) % 2.31/2.58 (define @t28 () (= @t12 @t25)) % 2.31/2.58 (define @t29 () (tptp.divide @t18 @t18)) % 2.31/2.58 (define @t30 () (tptp.divide @t25 @t25)) % 2.31/2.58 (define @t31 () (tptp.divide @t18 tptp.a1)) % 2.31/2.58 (define @t32 () (tptp.divide @t31 @t31)) % 2.31/2.58 (define @t33 () (tptp.divide @t32 @t29)) % 2.31/2.58 (define @t34 () (tptp.inverse @t29)) % 2.31/2.58 (define @t35 () (= @t33 @t34)) % 2.31/2.58 (define @t36 () (@list @t29 @t31)) % 2.31/2.58 (define @t37 () (= @t34 @t33)) % 2.31/2.58 (define @t38 () (tptp.divide @t17 @t29)) % 2.31/2.58 (define @t39 () (= @t38 @t34)) % 2.31/2.58 (define @t40 () (@list @t29 tptp.a1)) % 2.31/2.58 (define @t41 () (= @t34 @t38)) % 2.31/2.58 (define @t42 () (tptp.divide @t25 tptp.a1)) % 2.31/2.58 (define @t43 () (tptp.divide (tptp.divide @t42 @t42) @t30)) % 2.31/2.58 (define @t44 () (tptp.inverse @t30)) % 2.31/2.58 (define @t45 () (= @t43 @t44)) % 2.31/2.58 (define @t46 () (@list @t30 @t42)) % 2.31/2.58 (define @t47 () (= @t44 @t43)) % 2.31/2.58 (define @t48 () (tptp.divide @t29 @t29)) % 2.31/2.58 (define @t49 () (tptp.divide @t48 tptp.a1)) % 2.31/2.58 (define @t50 () (= @t49 @t14)) % 2.31/2.58 (define @t51 () (= @t14 @t49)) % 2.31/2.58 (define @t52 () (tptp.divide @t14 @t14)) % 2.31/2.58 (define @t53 () (tptp.divide @t52 tptp.a1)) % 2.31/2.58 (define @t54 () (= @t53 @t14)) % 2.31/2.58 (define @t55 () (@list tptp.a1 @t14)) % 2.31/2.58 (define @t56 () (= @t14 @t53)) % 2.31/2.58 (define @t57 () (tptp.divide @t48 tptp.b1)) % 2.31/2.58 (define @t58 () (= @t57 @t12)) % 2.31/2.58 (define @t59 () (@list tptp.b1 @t29)) % 2.31/2.58 (define @t60 () (= @t12 @t57)) % 2.31/2.58 (define @t61 () (tptp.divide (tptp.divide @t32 @t31) tptp.a1)) % 2.31/2.58 (define @t62 () (tptp.divide (tptp.divide @t61 @t61) tptp.a1)) % 2.31/2.58 (define @t63 () (= @t62 @t14)) % 2.31/2.58 (define @t64 () (= @t14 @t62)) % 2.31/2.58 (define @t65 () (tptp.divide @t38 @t18)) % 2.31/2.58 (define @t66 () (tptp.divide @t29 @t65)) % 2.31/2.58 (define @t67 () (tptp.divide @t48 @t29)) % 2.31/2.58 (define @t68 () (= @t67 @t34)) % 2.31/2.58 (define @t69 () (@list @t29 @t29)) % 2.31/2.58 (define @t70 () (= @t34 @t67)) % 2.31/2.58 (define @t71 () (tptp.divide @t30 @t30)) % 2.31/2.58 (define @t72 () (tptp.divide @t71 @t14)) % 2.31/2.58 (define @t73 () (tptp.inverse @t14)) % 2.31/2.58 (define @t74 () (= @t72 @t73)) % 2.31/2.58 (define @t75 () (= @t73 @t72)) % 2.31/2.58 (define @t76 () (tptp.divide @t67 tptp.b1)) % 2.31/2.58 (define @t77 () (tptp.divide @t76 @t76)) % 2.31/2.58 (define @t78 () (= @t13 (tptp.divide @t12 @t25))) % 2.31/2.58 (define @t79 () (tptp.divide @t14 @t18)) % 2.31/2.58 (define @t80 () (= @t15 @t79)) % 2.31/2.58 (define @t81 () (= (tptp.divide @t52 @t29) @t34)) % 2.31/2.58 (define @t82 () (tptp.divide @t12 @t12)) % 2.31/2.58 (define @t83 () (tptp.divide @t82 @t30)) % 2.31/2.58 (define @t84 () (= @t83 @t44)) % 2.31/2.58 (define @t85 () (= tptp.a1 (tptp.divide @t29 @t66))) % 2.31/2.58 (define @t86 () (tptp.divide @t52 @t53)) % 2.31/2.58 (define @t87 () (= (tptp.multiply @t52 tptp.a1) @t86)) % 2.31/2.58 (define @t88 () (tptp.divide @t52 @t14)) % 2.31/2.58 (define @t89 () (= @t88 @t73)) % 2.31/2.58 (define @t90 () (tptp.divide @t67 tptp.a1)) % 2.31/2.58 (define @t91 () (= @t29 (tptp.divide @t29 (tptp.divide @t90 @t90)))) % 2.31/2.58 (define @t92 () (tptp.divide @t29 @t77)) % 2.31/2.58 (define @t93 () (= @t29 @t92)) % 2.31/2.58 (define @t94 () (tptp.divide @t52 @t66)) % 2.31/2.58 (define @t95 () (tptp.multiply @t33 @t66)) % 2.31/2.58 (define @t96 () (= @t95 (tptp.divide @t33 @t94))) % 2.31/2.58 (define @t97 () (tptp.divide @t67 @t94)) % 2.31/2.58 (define @t98 () (= (tptp.multiply @t67 @t66) @t97)) % 2.31/2.58 (define @t99 () (tptp.multiply @t33 tptp.a1)) % 2.31/2.58 (define @t100 () (= @t99 (tptp.divide @t33 @t62))) % 2.31/2.58 (define @t101 () (= @t30 (tptp.divide @t18 (tptp.divide (tptp.divide (tptp.divide @t71 @t30) @t18) (tptp.divide (tptp.divide @t71 @t18) @t18))))) % 2.31/2.58 (define @t102 () (tptp.divide @t48 @t14)) % 2.31/2.58 (define @t103 () (tptp.divide @t102 @t14)) % 2.31/2.58 (define @t104 () (tptp.divide @t67 @t14)) % 2.31/2.58 (define @t105 () (tptp.divide @t104 @t103)) % 2.31/2.58 (define @t106 () (tptp.divide @t14 @t105)) % 2.31/2.58 (define @t107 () (= @t29 @t106)) % 2.31/2.58 (define @t108 () (tptp.inverse @t77)) % 2.31/2.58 (define @t109 () (= (tptp.divide @t48 @t77) @t108)) % 2.31/2.58 (define @t110 () (and @t22 @t78 @t80 @t28 @t81 @t84 @t37 @t41 @t47 @t51 @t56 @t85 @t87 @t89 @t60 @t64 @t91 @t93 @t96 @t98 @t100 @t70 @t75 @t101 @t107 @t109)) % 2.31/2.58 (assume @p1 @t8) % 2.31/2.58 (assume @p2 (forall @t7 (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide (tptp.divide @t2 @t2) @t1))))) % 2.31/2.58 (assume @p3 @t11) % 2.31/2.58 (assume @p4 (not @t16)) % 2.31/2.58 (step @p5 :rule eq-symm :args (@t9 @t5)) % 2.31/2.58 (step @p6 :rule cong :premises (@p5) :args (@t11)) % 2.31/2.58 (step @p7 :rule eq_resolve :premises (@p3 @p6)) % 2.31/2.58 (step @p8 :rule eq-symm :args (@t18 @t14)) % 2.31/2.58 (step @p9 :rule refl :args (@t19)) % 2.31/2.58 (step @p10 :rule cong :premises (@p9 @p8) :args ((=> @t19 @t20))) % 2.31/2.58 (assume-push @p285 @t19) % 2.31/2.58 (step @p12 :rule instantiate :premises (@p7) :args (@t21)) % 2.31/2.58 (step-pop @p286 :rule scope :premises (@p12)) % 2.31/2.58 (step @p13 :rule process_scope :premises (@p286) :args (@t20)) % 2.31/2.58 (step @p15 :rule eq_resolve :premises (@p13 @p10)) % 2.31/2.58 (step @p16 :rule implies_elim :premises (@p15)) % 2.31/2.58 (step @p17 :rule chain_m_resolution :premises (@p16 @p7) :args (@t22 @t23 @t24)) % 2.31/2.58 (step @p18 :rule instantiate :premises (@p2) :args ((@list @t12 tptp.b1 tptp.b1))) % 2.31/2.58 (step @p19 :rule instantiate :premises (@p2) :args ((@list @t14 tptp.a1 tptp.a1))) % 2.31/2.58 (step @p20 :rule eq-symm :args (@t25 @t12)) % 2.31/2.58 (step @p21 :rule cong :premises (@p9 @p20) :args ((=> @t19 @t26))) % 2.31/2.58 (assume-push @p287 @t19) % 2.31/2.58 (step @p23 :rule instantiate :premises (@p7) :args (@t27)) % 2.31/2.58 (step-pop @p288 :rule scope :premises (@p23)) % 2.31/2.58 (step @p24 :rule process_scope :premises (@p288) :args (@t26)) % 2.31/2.58 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 2.31/2.58 (step @p27 :rule implies_elim :premises (@p26)) % 2.31/2.58 (step @p28 :rule chain_m_resolution :premises (@p27 @p7) :args (@t28 @t23 @t24)) % 2.31/2.58 (step @p29 :rule instantiate :premises (@p7) :args ((@list @t29 @t14))) % 2.31/2.58 (step @p30 :rule instantiate :premises (@p7) :args ((@list @t30 @t12))) % 2.31/2.58 (step @p31 :rule eq-symm :args (@t33 @t34)) % 2.31/2.58 (step @p32 :rule cong :premises (@p9 @p31) :args ((=> @t19 @t35))) % 2.31/2.58 (assume-push @p289 @t19) % 2.31/2.58 (step @p34 :rule instantiate :premises (@p7) :args (@t36)) % 2.31/2.58 (step-pop @p290 :rule scope :premises (@p34)) % 2.31/2.58 (step @p35 :rule process_scope :premises (@p290) :args (@t35)) % 2.31/2.58 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 2.31/2.58 (step @p38 :rule implies_elim :premises (@p37)) % 2.31/2.58 (step @p39 :rule chain_m_resolution :premises (@p38 @p7) :args (@t37 @t23 @t24)) % 2.31/2.58 (step @p40 :rule eq-symm :args (@t38 @t34)) % 2.31/2.58 (step @p41 :rule cong :premises (@p9 @p40) :args ((=> @t19 @t39))) % 2.31/2.58 (assume-push @p291 @t19) % 2.31/2.58 (step @p43 :rule instantiate :premises (@p7) :args (@t40)) % 2.31/2.58 (step-pop @p292 :rule scope :premises (@p43)) % 2.31/2.58 (step @p44 :rule process_scope :premises (@p292) :args (@t39)) % 2.31/2.58 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 2.31/2.58 (step @p47 :rule implies_elim :premises (@p46)) % 2.31/2.58 (step @p48 :rule chain_m_resolution :premises (@p47 @p7) :args (@t41 @t23 @t24)) % 2.31/2.58 (step @p49 :rule eq-symm :args (@t43 @t44)) % 2.31/2.58 (step @p50 :rule cong :premises (@p9 @p49) :args ((=> @t19 @t45))) % 2.31/2.58 (assume-push @p293 @t19) % 2.31/2.58 (step @p52 :rule instantiate :premises (@p7) :args (@t46)) % 2.31/2.58 (step-pop @p294 :rule scope :premises (@p52)) % 2.31/2.58 (step @p53 :rule process_scope :premises (@p294) :args (@t45)) % 2.31/2.58 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 2.31/2.58 (step @p56 :rule implies_elim :premises (@p55)) % 2.31/2.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p7) :args (@t47 @t23 @t24)) % 2.31/2.58 (step @p58 :rule eq-symm :args (@t49 @t14)) % 2.31/2.58 (step @p59 :rule cong :premises (@p9 @p58) :args ((=> @t19 @t50))) % 2.31/2.58 (assume-push @p295 @t19) % 2.31/2.58 (step @p61 :rule instantiate :premises (@p7) :args ((@list tptp.a1 @t29))) % 2.31/2.58 (step-pop @p296 :rule scope :premises (@p61)) % 2.31/2.58 (step @p62 :rule process_scope :premises (@p296) :args (@t50)) % 2.31/2.58 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 2.31/2.58 (step @p65 :rule implies_elim :premises (@p64)) % 2.31/2.58 (step @p66 :rule chain_m_resolution :premises (@p65 @p7) :args (@t51 @t23 @t24)) % 2.31/2.58 (step @p67 :rule eq-symm :args (@t53 @t14)) % 2.31/2.58 (step @p68 :rule cong :premises (@p9 @p67) :args ((=> @t19 @t54))) % 2.31/2.58 (assume-push @p297 @t19) % 2.31/2.58 (step @p70 :rule instantiate :premises (@p7) :args (@t55)) % 2.31/2.58 (step-pop @p298 :rule scope :premises (@p70)) % 2.31/2.58 (step @p71 :rule process_scope :premises (@p298) :args (@t54)) % 2.31/2.58 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 2.31/2.58 (step @p74 :rule implies_elim :premises (@p73)) % 2.31/2.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p7) :args (@t56 @t23 @t24)) % 2.31/2.58 (step @p76 :rule eq-symm :args (@t6 @t1)) % 2.31/2.58 (step @p77 :rule cong :premises (@p76) :args (@t8)) % 2.31/2.58 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 2.31/2.58 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t29 tptp.a1 @t18))) % 2.31/2.58 (step @p80 :rule instantiate :premises (@p2) :args ((@list @t52 tptp.a1 @t14))) % 2.31/2.58 (step @p81 :rule instantiate :premises (@p7) :args ((@list @t14 @t14))) % 2.31/2.58 (step @p82 :rule eq-symm :args (@t57 @t12)) % 2.31/2.58 (step @p83 :rule cong :premises (@p9 @p82) :args ((=> @t19 @t58))) % 2.31/2.58 (assume-push @p299 @t19) % 2.31/2.58 (step @p85 :rule instantiate :premises (@p7) :args (@t59)) % 2.31/2.58 (step-pop @p300 :rule scope :premises (@p85)) % 2.31/2.58 (step @p86 :rule process_scope :premises (@p300) :args (@t58)) % 2.31/2.58 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 2.31/2.58 (step @p89 :rule implies_elim :premises (@p88)) % 2.31/2.58 (step @p90 :rule chain_m_resolution :premises (@p89 @p7) :args (@t60 @t23 @t24)) % 2.31/2.58 (step @p91 :rule eq-symm :args (@t62 @t14)) % 2.31/2.58 (step @p92 :rule cong :premises (@p9 @p91) :args ((=> @t19 @t63))) % 2.31/2.58 (assume-push @p301 @t19) % 2.31/2.58 (step @p94 :rule instantiate :premises (@p7) :args ((@list tptp.a1 @t61))) % 2.31/2.58 (step-pop @p302 :rule scope :premises (@p94)) % 2.31/2.58 (step @p95 :rule process_scope :premises (@p302) :args (@t63)) % 2.31/2.58 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 2.31/2.58 (step @p98 :rule implies_elim :premises (@p97)) % 2.31/2.58 (step @p99 :rule chain_m_resolution :premises (@p98 @p7) :args (@t64 @t23 @t24)) % 2.31/2.58 (step @p100 :rule instantiate :premises (@p78) :args ((@list @t29 @t29 tptp.a1))) % 2.31/2.58 (step @p101 :rule instantiate :premises (@p78) :args ((@list @t29 @t29 tptp.b1))) % 2.31/2.58 (step @p102 :rule instantiate :premises (@p2) :args ((@list @t33 @t66 @t14))) % 2.31/2.58 (step @p103 :rule instantiate :premises (@p2) :args ((@list @t67 @t66 @t14))) % 2.31/2.58 (step @p104 :rule instantiate :premises (@p2) :args ((@list @t33 tptp.a1 @t61))) % 2.31/2.58 (step @p105 :rule eq-symm :args (@t67 @t34)) % 2.31/2.58 (step @p106 :rule cong :premises (@p9 @p105) :args ((=> @t19 @t68))) % 2.31/2.58 (assume-push @p303 @t19) % 2.31/2.58 (step @p108 :rule instantiate :premises (@p7) :args (@t69)) % 2.31/2.58 (step-pop @p304 :rule scope :premises (@p108)) % 2.31/2.58 (step @p109 :rule process_scope :premises (@p304) :args (@t68)) % 2.31/2.58 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 2.31/2.58 (step @p112 :rule implies_elim :premises (@p111)) % 2.31/2.58 (step @p113 :rule chain_m_resolution :premises (@p112 @p7) :args (@t70 @t23 @t24)) % 2.31/2.58 (step @p114 :rule eq-symm :args (@t72 @t73)) % 2.31/2.58 (step @p115 :rule cong :premises (@p9 @p114) :args ((=> @t19 @t74))) % 2.31/2.58 (assume-push @p305 @t19) % 2.31/2.58 (step @p117 :rule instantiate :premises (@p7) :args ((@list @t14 @t30))) % 2.31/2.58 (step-pop @p306 :rule scope :premises (@p117)) % 2.31/2.58 (step @p118 :rule process_scope :premises (@p306) :args (@t74)) % 2.31/2.58 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 2.31/2.58 (step @p121 :rule implies_elim :premises (@p120)) % 2.31/2.58 (step @p122 :rule chain_m_resolution :premises (@p121 @p7) :args (@t75 @t23 @t24)) % 2.31/2.58 (step @p123 :rule instantiate :premises (@p78) :args ((@list @t18 @t30 @t18))) % 2.31/2.58 (step @p124 :rule instantiate :premises (@p78) :args ((@list @t14 @t29 @t14))) % 2.31/2.58 (step @p125 :rule instantiate :premises (@p7) :args ((@list @t77 @t29))) % 2.31/2.58 (assume-push @p307 @t22) % 2.31/2.58 (assume-push @p308 @t78) % 2.31/2.58 (assume-push @p309 @t80) % 2.31/2.58 (assume-push @p310 @t28) % 2.31/2.58 (assume-push @p311 @t81) % 2.31/2.58 (assume-push @p312 @t84) % 2.31/2.58 (assume-push @p313 @t37) % 2.31/2.58 (assume-push @p314 @t41) % 2.31/2.58 (assume-push @p315 @t47) % 2.31/2.58 (assume-push @p316 @t51) % 2.31/2.58 (assume-push @p317 @t56) % 2.31/2.58 (assume-push @p318 @t85) % 2.31/2.58 (assume-push @p319 @t87) % 2.31/2.58 (assume-push @p320 @t89) % 2.31/2.58 (assume-push @p321 @t60) % 2.31/2.58 (assume-push @p322 @t64) % 2.31/2.58 (assume-push @p323 @t91) % 2.31/2.58 (assume-push @p324 @t93) % 2.31/2.58 (assume-push @p325 @t96) % 2.31/2.58 (assume-push @p326 @t98) % 2.31/2.58 (assume-push @p327 @t100) % 2.31/2.58 (assume-push @p328 @t70) % 2.31/2.58 (assume-push @p329 @t75) % 2.31/2.58 (assume-push @p330 @t101) % 2.31/2.58 (assume-push @p331 @t107) % 2.31/2.58 (assume-push @p332 @t109) % 2.31/2.58 (step @p152 :rule symm :premises (@p18)) % 2.31/2.58 (step @p153 :rule refl :args (@t25)) % 2.31/2.58 (step @p23 :rule instantiate :premises (@p7) :args (@t27)) % 2.31/2.58 (step @p154 :rule cong :premises (@p23 @p153) :args (@t30)) % 2.31/2.58 (step @p155 :rule symm :premises (@p123)) % 2.31/2.58 (step @p156 :rule refl :args (@t18)) % 2.31/2.58 (step @p157 :rule refl :args (@t30)) % 2.31/2.58 (step @p158 :rule symm :premises (@p154)) % 2.31/2.58 (step @p159 :rule refl :args (@t12)) % 2.31/2.58 (step @p160 :rule cong :premises (@p159 @p28) :args (@t82)) % 2.31/2.58 (step @p161 :rule trans :premises (@p160 @p158)) % 2.31/2.58 (step @p162 :rule cong :premises (@p161 @p157) :args (@t83)) % 2.31/2.58 (step @p163 :rule symm :premises (@p30)) % 2.31/2.58 (step @p52 :rule instantiate :premises (@p7) :args (@t46)) % 2.31/2.58 (step @p164 :rule trans :premises (@p52 @p163 @p162)) % 2.31/2.58 (step @p165 :rule cong :premises (@p164 @p156) :args ((tptp.divide @t43 @t18))) % 2.31/2.58 (step @p166 :rule symm :premises (@p164)) % 2.31/2.58 (step @p167 :rule cong :premises (@p166 @p17) :args (@t72)) % 2.31/2.58 (step @p70 :rule instantiate :premises (@p7) :args (@t55)) % 2.31/2.58 (step @p168 :rule refl :args (@t52)) % 2.31/2.58 (step @p169 :rule cong :premises (@p168 @p70) :args (@t86)) % 2.31/2.58 (step @p170 :rule refl :args (tptp.a1)) % 2.31/2.58 (step @p12 :rule instantiate :premises (@p7) :args (@t21)) % 2.31/2.58 (step @p171 :rule refl :args (@t14)) % 2.31/2.58 (step @p172 :rule cong :premises (@p171 @p12) :args (@t79)) % 2.31/2.58 (step @p173 :rule cong :premises (@p12 @p156) :args (@t29)) % 2.31/2.58 (step @p174 :rule symm :premises (@p100)) % 2.31/2.58 (step @p175 :rule symm :premises (@p79)) % 2.31/2.58 (step @p176 :rule refl :args (@t66)) % 2.31/2.58 (step @p177 :rule trans :premises (@p173 @p172)) % 2.31/2.58 (step @p178 :rule symm :premises (@p177)) % 2.31/2.58 (step @p179 :rule cong :premises (@p178 @p176) :args (@t94)) % 2.31/2.58 (step @p180 :rule trans :premises (@p179 @p175)) % 2.31/2.58 (step @p181 :rule refl :args (@t67)) % 2.31/2.58 (step @p182 :rule cong :premises (@p181 @p180) :args (@t97)) % 2.31/2.58 (step @p34 :rule instantiate :premises (@p7) :args (@t36)) % 2.31/2.58 (step @p183 :rule trans :premises (@p34 @p113)) % 2.31/2.58 (step @p184 :rule cong :premises (@p183 @p176) :args (@t95)) % 2.31/2.58 (step @p185 :rule symm :premises (@p102)) % 2.31/2.58 (step @p186 :rule symm :premises (@p180)) % 2.31/2.58 (step @p187 :rule refl :args (@t33)) % 2.31/2.58 (step @p188 :rule cong :premises (@p187 @p186) :args ((tptp.divide @t33 tptp.a1))) % 2.31/2.58 (step @p189 :rule refl :args (@t29)) % 2.31/2.58 (step @p190 :rule cong :premises (@p177 @p189) :args (@t48)) % 2.31/2.58 (step @p191 :rule trans :premises (@p190 @p29 @p39)) % 2.31/2.58 (step @p192 :rule cong :premises (@p191 @p170) :args (@t49)) % 2.31/2.58 (step @p193 :rule trans :premises (@p12 @p66 @p192 @p188 @p185 @p184 @p103 @p182)) % 2.31/2.58 (step @p194 :rule trans :premises (@p17 @p193)) % 2.31/2.58 (step @p195 :rule cong :premises (@p194 @p193) :args (@t79)) % 2.31/2.58 (step @p196 :rule trans :premises (@p173 @p195)) % 2.31/2.58 (step @p197 :rule cong :premises (@p189 @p196) :args (@t48)) % 2.31/2.58 (step @p198 :rule symm :premises (@p190)) % 2.31/2.58 (step @p199 :rule trans :premises (@p198 @p197 @p174 @p173 @p172)) % 2.31/2.58 (step @p200 :rule symm :premises (@p29)) % 2.31/2.58 (step @p201 :rule trans :premises (@p34 @p200)) % 2.31/2.58 (step @p202 :rule trans :premises (@p201 @p199)) % 2.31/2.58 (step @p203 :rule cong :premises (@p202 @p170) :args (@t99)) % 2.31/2.58 (step @p204 :rule symm :premises (@p104)) % 2.31/2.58 (step @p205 :rule trans :premises (@p12 @p99)) % 2.31/2.58 (step @p206 :rule cong :premises (@p187 @p205) :args ((tptp.divide @t33 @t18))) % 2.31/2.58 (step @p43 :rule instantiate :premises (@p7) :args (@t40)) % 2.31/2.58 (step @p207 :rule trans :premises (@p43 @p39)) % 2.31/2.58 (step @p208 :rule cong :premises (@p207 @p156) :args (@t65)) % 2.31/2.58 (step @p209 :rule trans :premises (@p208 @p206 @p204 @p203 @p80 @p169 @p81 @p122 @p167 @p165)) % 2.31/2.58 (step @p210 :rule symm :premises (@p208)) % 2.31/2.58 (step @p211 :rule symm :premises (@p206)) % 2.31/2.58 (step @p212 :rule symm :premises (@p203)) % 2.31/2.58 (step @p213 :rule symm :premises (@p80)) % 2.31/2.58 (step @p214 :rule symm :premises (@p169)) % 2.31/2.58 (step @p215 :rule trans :premises (@p214 @p213 @p212 @p104 @p211 @p210)) % 2.31/2.58 (step @p216 :rule trans :premises (@p215 @p209)) % 2.31/2.58 (step @p217 :rule cong :premises (@p216 @p156) :args ((tptp.divide @t88 @t18))) % 2.31/2.58 (step @p218 :rule trans :premises (@p197 @p174)) % 2.31/2.58 (step @p219 :rule trans :premises (@p218 @p177)) % 2.31/2.58 (step @p220 :rule cong :premises (@p219 @p171) :args (@t102)) % 2.31/2.58 (step @p221 :rule cong :premises (@p220 @p17) :args (@t103)) % 2.31/2.58 (step @p222 :rule trans :premises (@p221 @p217)) % 2.31/2.58 (step @p85 :rule instantiate :premises (@p7) :args (@t59)) % 2.31/2.58 (step @p223 :rule refl :args (tptp.b1)) % 2.31/2.58 (step @p224 :rule symm :premises (@p191)) % 2.31/2.58 (step @p225 :rule cong :premises (@p224 @p223) :args ((tptp.divide @t33 tptp.b1))) % 2.31/2.58 (step @p226 :rule symm :premises (@p183)) % 2.31/2.58 (step @p227 :rule cong :premises (@p226 @p223) :args (@t76)) % 2.31/2.58 (step @p228 :rule trans :premises (@p227 @p225 @p85 @p28)) % 2.31/2.58 (step @p229 :rule trans :premises (@p227 @p225 @p85)) % 2.31/2.58 (step @p230 :rule cong :premises (@p229 @p228) :args (@t77)) % 2.31/2.58 (step @p231 :rule trans :premises (@p230 @p158)) % 2.31/2.58 (step @p232 :rule trans :premises (@p30 @p57)) % 2.31/2.58 (step @p233 :rule cong :premises (@p231) :args (@t108)) % 2.31/2.58 (step @p234 :rule refl :args (@t77)) % 2.31/2.58 (step @p235 :rule symm :premises (@p218)) % 2.31/2.58 (step @p236 :rule cong :premises (@p235 @p234) :args (@t92)) % 2.31/2.58 (step @p237 :rule trans :premises (@p101 @p236 @p125 @p233 @p163)) % 2.31/2.58 (step @p238 :rule trans :premises (@p237 @p232 @p164)) % 2.31/2.58 (step @p239 :rule cong :premises (@p238 @p231) :args (@t92)) % 2.31/2.58 (step @p240 :rule trans :premises (@p101 @p239)) % 2.31/2.58 (step @p241 :rule trans :premises (@p178 @p240)) % 2.31/2.58 (step @p242 :rule cong :premises (@p241 @p17) :args (@t88)) % 2.31/2.58 (step @p243 :rule trans :premises (@p208 @p206 @p204 @p203 @p80 @p169 @p242)) % 2.31/2.58 (step @p108 :rule instantiate :premises (@p7) :args (@t69)) % 2.31/2.58 (step @p244 :rule trans :premises (@p108 @p200 @p198 @p197 @p174)) % 2.31/2.58 (step @p245 :rule trans :premises (@p244 @p177)) % 2.31/2.58 (step @p246 :rule cong :premises (@p245 @p171) :args (@t104)) % 2.31/2.58 (step @p247 :rule trans :premises (@p246 @p214 @p213 @p212 @p104 @p211 @p210)) % 2.31/2.58 (step @p248 :rule trans :premises (@p247 @p243)) % 2.31/2.58 (step @p249 :rule cong :premises (@p248 @p222) :args (@t105)) % 2.31/2.58 (step @p250 :rule cong :premises (@p17 @p249) :args (@t106)) % 2.31/2.58 (step @p251 :rule symm :premises (@p173)) % 2.31/2.58 (step @p252 :rule trans :premises (@p19 @p251 @p124 @p250 @p155 @p154 @p152)) % 2.31/2.58 (step-pop @p333 :rule scope :premises (@p252)) % 2.31/2.58 (step-pop @p334 :rule scope :premises (@p333)) % 2.31/2.58 (step-pop @p335 :rule scope :premises (@p334)) % 2.31/2.58 (step-pop @p336 :rule scope :premises (@p335)) % 2.31/2.58 (step-pop @p337 :rule scope :premises (@p336)) % 2.31/2.58 (step-pop @p338 :rule scope :premises (@p337)) % 2.31/2.58 (step-pop @p339 :rule scope :premises (@p338)) % 2.31/2.58 (step-pop @p340 :rule scope :premises (@p339)) % 2.31/2.58 (step-pop @p341 :rule scope :premises (@p340)) % 2.31/2.58 (step-pop @p342 :rule scope :premises (@p341)) % 2.31/2.58 (step-pop @p343 :rule scope :premises (@p342)) % 2.31/2.58 (step-pop @p344 :rule scope :premises (@p343)) % 2.31/2.58 (step-pop @p345 :rule scope :premises (@p344)) % 2.31/2.58 (step-pop @p346 :rule scope :premises (@p345)) % 2.31/2.58 (step-pop @p347 :rule scope :premises (@p346)) % 2.31/2.58 (step-pop @p348 :rule scope :premises (@p347)) % 2.31/2.58 (step-pop @p349 :rule scope :premises (@p348)) % 2.31/2.58 (step-pop @p350 :rule scope :premises (@p349)) % 2.31/2.58 (step-pop @p351 :rule scope :premises (@p350)) % 2.31/2.58 (step-pop @p352 :rule scope :premises (@p351)) % 2.31/2.58 (step-pop @p353 :rule scope :premises (@p352)) % 2.31/2.58 (step-pop @p354 :rule scope :premises (@p353)) % 2.31/2.58 (step-pop @p355 :rule scope :premises (@p354)) % 2.31/2.58 (step-pop @p356 :rule scope :premises (@p355)) % 2.31/2.58 (step-pop @p357 :rule scope :premises (@p356)) % 2.31/2.58 (step-pop @p358 :rule scope :premises (@p357)) % 2.31/2.58 (step @p253 :rule process_scope :premises (@p358) :args (@t16)) % 2.31/2.58 (step @p280 :rule implies_elim :premises (@p253)) % 2.31/2.58 (step @p281 :rule cnf_and_neg :args (@t110)) % 2.31/2.58 (step @p282 :rule resolution :premises (@p281 @p280) :args (true @t110)) % 2.31/2.58 (step @p283 :rule reordering :premises (@p282) :args ((or @t16 (not @t22) (not @t78) (not @t80) (not @t28) (not @t81) (not @t84) (not @t37) (not @t41) (not @t47) (not @t51) (not @t56) (not @t85) (not @t87) (not @t89) (not @t60) (not @t64) (not @t91) (not @t93) (not @t96) (not @t98) (not @t100) (not @t70) (not @t75) (not @t101) (not @t107) (not @t109)))) % 2.31/2.58 (step @p284 false :rule chain_m_resolution :premises (@p283 @p125 @p124 @p123 @p122 @p113 @p104 @p103 @p102 @p101 @p100 @p99 @p90 @p81 @p80 @p79 @p75 @p66 @p57 @p48 @p39 @p30 @p29 @p28 @p19 @p18 @p17 @p4) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t109 @t107 @t101 @t75 @t70 @t100 @t98 @t96 @t93 @t91 @t64 @t60 @t89 @t87 @t85 @t56 @t51 @t47 @t41 @t37 @t84 @t81 @t28 @t80 @t78 @t22 @t16))) % 2.31/2.58 ) % 2.31/2.58 % SZS output end Proof % 2.31/2.58 % cvc5 exiting %------------------------------------------------------------------------------