%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP494-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:20:49 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP494-1 : TPTP v9.2.1. Released v2.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 01:12:11 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.identity $$unsorted) % 0.38/0.59 (declare-const tptp.a2 $$unsorted) % 0.38/0.59 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t4 () (tptp.double_divide tptp.identity tptp.identity)) % 0.38/0.59 (define @t5 () (tptp.double_divide (tptp.double_divide tptp.identity @t3) (tptp.double_divide (tptp.double_divide (tptp.double_divide @t1 @t2) @t4) (tptp.double_divide @t3 @t2)))) % 0.38/0.59 (define @t6 () (forall (@list @t3 @t1 @t2) (= @t5 @t1))) % 0.38/0.59 (define @t7 () (tptp.inverse @t3)) % 0.38/0.59 (define @t8 () (@list @t3)) % 0.38/0.59 (define @t9 () (forall @t8 (= @t7 (tptp.double_divide @t3 tptp.identity)))) % 0.38/0.59 (define @t10 () (tptp.multiply tptp.identity tptp.a2)) % 0.38/0.59 (define @t11 () (tptp.inverse tptp.identity)) % 0.38/0.59 (define @t12 () (= @t11 @t4)) % 0.38/0.59 (define @t13 () (@list tptp.identity)) % 0.38/0.59 (define @t14 () (= @t4 @t11)) % 0.38/0.59 (define @t15 () (@list false)) % 0.38/0.59 (define @t16 () (@list @t9)) % 0.38/0.59 (define @t17 () (tptp.inverse tptp.a2)) % 0.38/0.59 (define @t18 () (tptp.double_divide tptp.a2 tptp.identity)) % 0.38/0.59 (define @t19 () (= @t17 @t18)) % 0.38/0.59 (define @t20 () (@list tptp.a2)) % 0.38/0.59 (define @t21 () (= @t18 @t17)) % 0.38/0.59 (define @t22 () (tptp.inverse @t18)) % 0.38/0.59 (define @t23 () (tptp.double_divide @t18 tptp.identity)) % 0.38/0.59 (define @t24 () (= @t22 @t23)) % 0.38/0.59 (define @t25 () (@list @t18)) % 0.38/0.59 (define @t26 () (= @t23 @t22)) % 0.38/0.59 (define @t27 () (tptp.inverse @t23)) % 0.38/0.59 (define @t28 () (tptp.double_divide @t23 tptp.identity)) % 0.38/0.59 (define @t29 () (= @t27 @t28)) % 0.38/0.59 (define @t30 () (@list @t23)) % 0.38/0.59 (define @t31 () (= @t28 @t27)) % 0.38/0.59 (define @t32 () (tptp.double_divide @t18 @t22)) % 0.38/0.59 (define @t33 () (tptp.double_divide @t32 @t4)) % 0.38/0.59 (define @t34 () (tptp.double_divide @t33 @t32)) % 0.38/0.59 (define @t35 () (tptp.double_divide tptp.identity @t18)) % 0.38/0.59 (define @t36 () (tptp.double_divide tptp.a2 @t17)) % 0.38/0.59 (define @t37 () (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity @t17) @t4) @t36)) % 0.38/0.59 (define @t38 () (tptp.double_divide tptp.identity tptp.a2)) % 0.38/0.59 (define @t39 () (tptp.double_divide @t23 @t27)) % 0.38/0.59 (define @t40 () (tptp.double_divide @t39 @t4)) % 0.38/0.59 (define @t41 () (tptp.double_divide @t40 @t39)) % 0.38/0.59 (define @t42 () (tptp.double_divide tptp.identity @t23)) % 0.38/0.59 (define @t43 () (tptp.double_divide tptp.identity @t38)) % 0.38/0.59 (define @t44 () (tptp.double_divide tptp.identity @t35)) % 0.38/0.59 (define @t45 () (= @t10 @t23)) % 0.38/0.59 (define @t46 () (tptp.double_divide tptp.identity @t11)) % 0.38/0.59 (define @t47 () (= tptp.identity @t46)) % 0.38/0.59 (define @t48 () (= tptp.identity @t36)) % 0.38/0.59 (define @t49 () (= tptp.identity @t32)) % 0.38/0.59 (define @t50 () (tptp.double_divide @t35 @t34)) % 0.38/0.59 (define @t51 () (= @t18 @t50)) % 0.38/0.59 (define @t52 () (tptp.double_divide tptp.identity @t22)) % 0.38/0.59 (define @t53 () (tptp.double_divide @t33 @t52)) % 0.38/0.59 (define @t54 () (tptp.double_divide @t4 @t53)) % 0.38/0.59 (define @t55 () (= @t18 @t54)) % 0.38/0.59 (define @t56 () (= tptp.identity @t39)) % 0.38/0.59 (define @t57 () (tptp.double_divide @t42 @t41)) % 0.38/0.59 (define @t58 () (= @t23 @t57)) % 0.38/0.59 (define @t59 () (tptp.double_divide @t38 @t37)) % 0.38/0.59 (define @t60 () (= tptp.identity @t59)) % 0.38/0.59 (define @t61 () (= tptp.identity (tptp.double_divide @t44 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity @t34) @t4) @t50)))) % 0.38/0.59 (define @t62 () (tptp.double_divide tptp.identity @t27)) % 0.38/0.59 (define @t63 () (= @t23 (tptp.double_divide @t4 (tptp.double_divide @t40 @t62)))) % 0.38/0.59 (define @t64 () (= tptp.identity (tptp.double_divide @t43 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity @t37) @t4) @t59)))) % 0.38/0.59 (define @t65 () (tptp.double_divide tptp.identity @t41)) % 0.38/0.59 (define @t66 () (tptp.double_divide @t65 @t4)) % 0.38/0.59 (define @t67 () (tptp.double_divide @t66 @t57)) % 0.38/0.59 (define @t68 () (tptp.double_divide tptp.identity @t42)) % 0.38/0.59 (define @t69 () (tptp.double_divide @t68 @t67)) % 0.38/0.59 (define @t70 () (= tptp.identity @t69)) % 0.38/0.59 (define @t71 () (= @t38 (tptp.double_divide @t4 (tptp.double_divide (tptp.double_divide (tptp.double_divide @t38 @t22) @t4) @t52)))) % 0.38/0.59 (define @t72 () (tptp.double_divide tptp.a2 @t18)) % 0.38/0.59 (define @t73 () (tptp.double_divide @t72 @t4)) % 0.38/0.59 (define @t74 () (tptp.double_divide @t73 @t35)) % 0.38/0.59 (define @t75 () (tptp.double_divide @t4 @t74)) % 0.38/0.59 (define @t76 () (= tptp.a2 @t75)) % 0.38/0.59 (define @t77 () (= tptp.identity (tptp.double_divide @t46 (tptp.double_divide (tptp.double_divide @t52 @t4) (tptp.double_divide @t11 @t22))))) % 0.38/0.59 (define @t78 () (tptp.double_divide @t43 @t27)) % 0.38/0.59 (define @t79 () (tptp.double_divide @t78 @t4)) % 0.38/0.59 (define @t80 () (tptp.double_divide @t79 @t62)) % 0.38/0.59 (define @t81 () (tptp.double_divide @t4 @t80)) % 0.38/0.59 (define @t82 () (= @t43 @t81)) % 0.38/0.59 (define @t83 () (tptp.double_divide @t42 @t11)) % 0.38/0.59 (define @t84 () (tptp.double_divide @t83 @t4)) % 0.38/0.59 (define @t85 () (tptp.double_divide @t84 @t46)) % 0.38/0.59 (define @t86 () (tptp.double_divide @t4 @t85)) % 0.38/0.59 (define @t87 () (= @t42 @t86)) % 0.38/0.59 (define @t88 () (tptp.double_divide @t44 @t22)) % 0.38/0.59 (define @t89 () (tptp.double_divide @t88 @t4)) % 0.38/0.59 (define @t90 () (tptp.double_divide @t89 @t52)) % 0.38/0.59 (define @t91 () (tptp.double_divide @t4 @t90)) % 0.38/0.59 (define @t92 () (= @t44 @t91)) % 0.38/0.59 (define @t93 () (= tptp.a2 @t10)) % 0.38/0.59 (define @t94 () (and @t45 @t14 @t21 @t26 @t31 @t47 @t48 @t49 @t51 @t55 @t56 @t58 @t60 @t61 @t63 @t64 @t70 @t71 @t76 @t77 @t82 @t87 @t92)) % 0.38/0.59 (assume @p1 @t6) % 0.38/0.59 (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.double_divide (tptp.double_divide @t1 @t3) tptp.identity)))) % 0.38/0.59 (assume @p3 @t9) % 0.38/0.59 (assume @p4 (forall @t8 (= tptp.identity (tptp.double_divide @t3 @t7)))) % 0.38/0.59 (assume @p5 (not (= @t10 tptp.a2))) % 0.38/0.59 (step @p6 :rule symm :premises (@p5)) % 0.38/0.59 (step @p7 :rule instantiate :premises (@p2) :args ((@list tptp.identity tptp.a2))) % 0.38/0.59 (step @p8 :rule eq-symm :args (@t11 @t4)) % 0.38/0.59 (step @p9 :rule refl :args (@t9)) % 0.38/0.59 (step @p10 :rule cong :premises (@p9 @p8) :args ((=> @t9 @t12))) % 0.38/0.59 (assume-push @p249 @t9) % 0.38/0.59 (step @p12 :rule instantiate :premises (@p3) :args (@t13)) % 0.38/0.59 (step-pop @p250 :rule scope :premises (@p12)) % 0.38/0.59 (step @p13 :rule process_scope :premises (@p250) :args (@t12)) % 0.38/0.59 (step @p15 :rule eq_resolve :premises (@p13 @p10)) % 0.38/0.59 (step @p16 :rule implies_elim :premises (@p15)) % 0.38/0.59 (step @p17 :rule chain_m_resolution :premises (@p16 @p3) :args (@t14 @t15 @t16)) % 0.38/0.59 (step @p18 :rule eq-symm :args (@t17 @t18)) % 0.38/0.59 (step @p19 :rule cong :premises (@p9 @p18) :args ((=> @t9 @t19))) % 0.38/0.59 (assume-push @p251 @t9) % 0.38/0.59 (step @p21 :rule instantiate :premises (@p3) :args (@t20)) % 0.38/0.59 (step-pop @p252 :rule scope :premises (@p21)) % 0.38/0.59 (step @p22 :rule process_scope :premises (@p252) :args (@t19)) % 0.38/0.59 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.38/0.59 (step @p25 :rule implies_elim :premises (@p24)) % 0.38/0.59 (step @p26 :rule chain_m_resolution :premises (@p25 @p3) :args (@t21 @t15 @t16)) % 0.38/0.59 (step @p27 :rule eq-symm :args (@t22 @t23)) % 0.38/0.59 (step @p28 :rule cong :premises (@p9 @p27) :args ((=> @t9 @t24))) % 0.38/0.59 (assume-push @p253 @t9) % 0.38/0.59 (step @p30 :rule instantiate :premises (@p3) :args (@t25)) % 0.38/0.59 (step-pop @p254 :rule scope :premises (@p30)) % 0.38/0.59 (step @p31 :rule process_scope :premises (@p254) :args (@t24)) % 0.38/0.59 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.38/0.59 (step @p34 :rule implies_elim :premises (@p33)) % 0.38/0.59 (step @p35 :rule chain_m_resolution :premises (@p34 @p3) :args (@t26 @t15 @t16)) % 0.38/0.59 (step @p36 :rule eq-symm :args (@t27 @t28)) % 0.38/0.59 (step @p37 :rule cong :premises (@p9 @p36) :args ((=> @t9 @t29))) % 0.38/0.59 (assume-push @p255 @t9) % 0.38/0.59 (step @p39 :rule instantiate :premises (@p3) :args (@t30)) % 0.38/0.59 (step-pop @p256 :rule scope :premises (@p39)) % 0.38/0.59 (step @p40 :rule process_scope :premises (@p256) :args (@t29)) % 0.38/0.59 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.38/0.59 (step @p43 :rule implies_elim :premises (@p42)) % 0.38/0.59 (step @p44 :rule chain_m_resolution :premises (@p43 @p3) :args (@t31 @t15 @t16)) % 0.38/0.59 (step @p45 :rule instantiate :premises (@p4) :args (@t13)) % 0.38/0.59 (step @p46 :rule instantiate :premises (@p4) :args (@t20)) % 0.38/0.59 (step @p47 :rule instantiate :premises (@p4) :args (@t25)) % 0.38/0.59 (step @p48 :rule eq-symm :args (@t5 @t1)) % 0.38/0.59 (step @p49 :rule cong :premises (@p48) :args (@t6)) % 0.38/0.59 (step @p50 :rule eq_resolve :premises (@p1 @p49)) % 0.38/0.59 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t18 @t18 @t22))) % 0.38/0.59 (step @p52 :rule instantiate :premises (@p50) :args ((@list tptp.identity @t18 @t22))) % 0.38/0.59 (step @p53 :rule instantiate :premises (@p4) :args (@t30)) % 0.38/0.59 (step @p54 :rule instantiate :premises (@p50) :args ((@list @t23 @t23 @t27))) % 0.38/0.59 (step @p55 :rule instantiate :premises (@p50) :args ((@list tptp.a2 tptp.identity @t17))) % 0.38/0.59 (step @p56 :rule instantiate :premises (@p50) :args ((@list @t35 tptp.identity @t34))) % 0.38/0.59 (step @p57 :rule instantiate :premises (@p50) :args ((@list tptp.identity @t23 @t27))) % 0.38/0.59 (step @p58 :rule instantiate :premises (@p50) :args ((@list @t38 tptp.identity @t37))) % 0.38/0.59 (step @p59 :rule instantiate :premises (@p50) :args ((@list @t42 tptp.identity @t41))) % 0.38/0.59 (step @p60 :rule instantiate :premises (@p50) :args ((@list tptp.identity @t38 @t22))) % 0.38/0.59 (step @p61 :rule instantiate :premises (@p50) :args ((@list tptp.identity tptp.a2 @t18))) % 0.38/0.59 (step @p62 :rule instantiate :premises (@p50) :args ((@list @t11 tptp.identity @t22))) % 0.38/0.59 (step @p63 :rule instantiate :premises (@p50) :args ((@list tptp.identity @t43 @t27))) % 0.38/0.59 (step @p64 :rule instantiate :premises (@p50) :args ((@list tptp.identity @t42 @t11))) % 0.38/0.59 (step @p65 :rule instantiate :premises (@p50) :args ((@list tptp.identity @t44 @t22))) % 0.38/0.59 (assume-push @p257 @t45) % 0.38/0.59 (assume-push @p258 @t14) % 0.38/0.59 (assume-push @p259 @t21) % 0.38/0.59 (assume-push @p260 @t26) % 0.38/0.59 (assume-push @p261 @t31) % 0.38/0.59 (assume-push @p262 @t47) % 0.38/0.59 (assume-push @p263 @t48) % 0.38/0.59 (assume-push @p264 @t49) % 0.38/0.59 (assume-push @p265 @t51) % 0.38/0.59 (assume-push @p266 @t55) % 0.38/0.59 (assume-push @p267 @t56) % 0.38/0.59 (assume-push @p268 @t58) % 0.38/0.59 (assume-push @p269 @t60) % 0.38/0.59 (assume-push @p270 @t61) % 0.38/0.59 (assume-push @p271 @t63) % 0.38/0.59 (assume-push @p272 @t64) % 0.38/0.59 (assume-push @p273 @t70) % 0.38/0.59 (assume-push @p274 @t71) % 0.38/0.59 (assume-push @p275 @t76) % 0.38/0.59 (assume-push @p276 @t77) % 0.38/0.59 (assume-push @p277 @t82) % 0.38/0.59 (assume-push @p278 @t87) % 0.38/0.59 (assume-push @p279 @t92) % 0.38/0.59 (step @p89 :rule symm :premises (@p7)) % 0.38/0.59 (step @p90 :rule symm :premises (@p57)) % 0.38/0.59 (step @p91 :rule refl :args (@t62)) % 0.38/0.59 (step @p12 :rule instantiate :premises (@p3) :args (@t13)) % 0.38/0.59 (step @p92 :rule cong :premises (@p53 @p12) :args (@t46)) % 0.38/0.59 (step @p93 :rule trans :premises (@p45 @p92)) % 0.38/0.59 (step @p94 :rule symm :premises (@p45)) % 0.38/0.59 (step @p95 :rule symm :premises (@p58)) % 0.38/0.59 (step @p96 :rule symm :premises (@p53)) % 0.38/0.59 (step @p97 :rule symm :premises (@p93)) % 0.38/0.59 (step @p98 :rule cong :premises (@p97 @p96) :args (@t41)) % 0.38/0.59 (step @p99 :rule symm :premises (@p47)) % 0.38/0.59 (step @p100 :rule cong :premises (@p99 @p17) :args (@t33)) % 0.38/0.59 (step @p101 :rule trans :premises (@p100 @p94)) % 0.38/0.59 (step @p102 :rule cong :premises (@p101 @p99) :args (@t34)) % 0.38/0.59 (step @p103 :rule refl :args (tptp.identity)) % 0.38/0.59 (step @p104 :rule cong :premises (@p103 @p26) :args (@t35)) % 0.38/0.59 (step @p105 :rule cong :premises (@p104 @p102) :args (@t50)) % 0.38/0.59 (step @p106 :rule trans :premises (@p51 @p105)) % 0.38/0.59 (step @p107 :rule cong :premises (@p106 @p46) :args (@t23)) % 0.38/0.59 (step @p30 :rule instantiate :premises (@p3) :args (@t25)) % 0.38/0.59 (step @p108 :rule trans :premises (@p30 @p107)) % 0.38/0.59 (step @p109 :rule cong :premises (@p103 @p108) :args (@t52)) % 0.38/0.59 (step @p110 :rule cong :premises (@p103 @p35) :args (@t42)) % 0.38/0.59 (step @p111 :rule trans :premises (@p110 @p109)) % 0.38/0.59 (step @p112 :rule cong :premises (@p111 @p98) :args (@t57)) % 0.38/0.59 (step @p113 :rule trans :premises (@p54 @p112)) % 0.38/0.59 (step @p114 :rule cong :premises (@p113 @p55) :args (@t28)) % 0.38/0.59 (step @p39 :rule instantiate :premises (@p3) :args (@t30)) % 0.38/0.59 (step @p115 :rule trans :premises (@p39 @p114)) % 0.38/0.59 (step @p116 :rule refl :args (@t43)) % 0.38/0.59 (step @p117 :rule cong :premises (@p116 @p115) :args (@t78)) % 0.38/0.59 (step @p118 :rule trans :premises (@p117 @p95)) % 0.38/0.59 (step @p119 :rule cong :premises (@p118 @p17) :args (@t79)) % 0.38/0.59 (step @p120 :rule trans :premises (@p119 @p94)) % 0.38/0.59 (step @p121 :rule trans :premises (@p120 @p93)) % 0.38/0.59 (step @p122 :rule cong :premises (@p121 @p91) :args (@t80)) % 0.38/0.59 (step @p123 :rule refl :args (@t4)) % 0.38/0.59 (step @p124 :rule cong :premises (@p123 @p122) :args (@t81)) % 0.38/0.59 (step @p125 :rule symm :premises (@p60)) % 0.38/0.59 (step @p126 :rule refl :args (@t52)) % 0.38/0.59 (step @p127 :rule symm :premises (@p108)) % 0.38/0.59 (step @p128 :rule refl :args (@t38)) % 0.38/0.59 (step @p129 :rule cong :premises (@p128 @p127) :args (@t59)) % 0.38/0.59 (step @p130 :rule trans :premises (@p55 @p129)) % 0.38/0.59 (step @p131 :rule cong :premises (@p130 @p12) :args (@t46)) % 0.38/0.59 (step @p132 :rule trans :premises (@p45 @p131)) % 0.38/0.59 (step @p133 :rule trans :premises (@p101 @p132)) % 0.38/0.59 (step @p134 :rule cong :premises (@p133 @p126) :args (@t53)) % 0.38/0.59 (step @p135 :rule cong :premises (@p123 @p134) :args (@t54)) % 0.38/0.59 (step @p136 :rule trans :premises (@p52 @p135 @p125)) % 0.38/0.59 (step @p137 :rule cong :premises (@p103 @p136) :args (@t35)) % 0.38/0.59 (step @p138 :rule symm :premises (@p52)) % 0.38/0.59 (step @p139 :rule symm :premises (@p101)) % 0.38/0.59 (step @p140 :rule symm :premises (@p56)) % 0.38/0.59 (step @p141 :rule symm :premises (@p102)) % 0.38/0.59 (step @p142 :rule trans :premises (@p12 @p141)) % 0.38/0.59 (step @p143 :rule cong :premises (@p103 @p142) :args (@t46)) % 0.38/0.59 (step @p144 :rule trans :premises (@p45 @p143)) % 0.38/0.59 (step @p145 :rule cong :premises (@p144 @p12) :args (@t46)) % 0.38/0.59 (step @p146 :rule trans :premises (@p45 @p145)) % 0.38/0.59 (step @p147 :rule cong :premises (@p146 @p51) :args (@t35)) % 0.38/0.59 (step @p148 :rule symm :premises (@p137)) % 0.38/0.59 (step @p149 :rule symm :premises (@p63)) % 0.38/0.59 (step @p150 :rule symm :premises (@p124)) % 0.38/0.59 (step @p151 :rule trans :premises (@p30 @p57 @p150 @p149 @p148 @p147)) % 0.38/0.59 (step @p152 :rule cong :premises (@p103 @p148) :args ((tptp.double_divide tptp.identity @t43))) % 0.38/0.59 (step @p153 :rule trans :premises (@p30 @p57 @p150 @p149)) % 0.38/0.59 (step @p154 :rule cong :premises (@p103 @p153) :args (@t52)) % 0.38/0.59 (step @p155 :rule trans :premises (@p110 @p154)) % 0.38/0.59 (step @p156 :rule symm :premises (@p110)) % 0.38/0.59 (step @p157 :rule trans :premises (@p156 @p155 @p152)) % 0.38/0.59 (step @p158 :rule cong :premises (@p157 @p151) :args ((tptp.double_divide @t52 @t22))) % 0.38/0.59 (step @p159 :rule refl :args (@t22)) % 0.38/0.59 (step @p160 :rule symm :premises (@p157)) % 0.38/0.59 (step @p161 :rule cong :premises (@p160 @p159) :args (@t88)) % 0.38/0.59 (step @p162 :rule trans :premises (@p161 @p158 @p140)) % 0.38/0.59 (step @p163 :rule cong :premises (@p162 @p17) :args (@t89)) % 0.38/0.59 (step @p164 :rule trans :premises (@p163 @p94)) % 0.38/0.59 (step @p165 :rule trans :premises (@p164 @p139)) % 0.38/0.59 (step @p166 :rule cong :premises (@p165 @p126) :args (@t90)) % 0.38/0.59 (step @p167 :rule cong :premises (@p123 @p166) :args (@t91)) % 0.38/0.59 (step @p168 :rule refl :args (@t35)) % 0.38/0.59 (step @p169 :rule symm :premises (@p46)) % 0.38/0.59 (step @p170 :rule refl :args (tptp.a2)) % 0.38/0.59 (step @p171 :rule cong :premises (@p170 @p26) :args (@t72)) % 0.38/0.59 (step @p172 :rule trans :premises (@p171 @p169)) % 0.38/0.59 (step @p173 :rule cong :premises (@p172 @p17) :args (@t73)) % 0.38/0.59 (step @p174 :rule trans :premises (@p173 @p94)) % 0.38/0.59 (step @p175 :rule cong :premises (@p174 @p168) :args (@t74)) % 0.38/0.59 (step @p176 :rule trans :premises (@p175 @p65 @p167 @p138)) % 0.38/0.59 (step @p177 :rule symm :premises (@p62)) % 0.38/0.59 (step @p178 :rule symm :premises (@p51)) % 0.38/0.59 (step @p179 :rule symm :premises (@p105)) % 0.38/0.59 (step @p180 :rule trans :premises (@p57 @p150 @p149 @p148 @p104)) % 0.38/0.59 (step @p181 :rule symm :premises (@p54)) % 0.38/0.59 (step @p182 :rule symm :premises (@p98)) % 0.38/0.59 (step @p183 :rule trans :premises (@p12 @p182)) % 0.38/0.59 (step @p184 :rule refl :args (@t42)) % 0.38/0.59 (step @p185 :rule cong :premises (@p184 @p183) :args (@t83)) % 0.38/0.59 (step @p186 :rule trans :premises (@p185 @p181)) % 0.38/0.59 (step @p187 :rule trans :premises (@p186 @p180)) % 0.38/0.59 (step @p188 :rule cong :premises (@p187 @p123) :args (@t84)) % 0.38/0.59 (step @p189 :rule trans :premises (@p188 @p179 @p178)) % 0.38/0.59 (step @p190 :rule cong :premises (@p189 @p94) :args (@t85)) % 0.38/0.59 (step @p191 :rule trans :premises (@p190 @p35)) % 0.38/0.59 (step @p192 :rule cong :premises (@p17 @p191) :args (@t86)) % 0.38/0.59 (step @p193 :rule symm :premises (@p154)) % 0.38/0.59 (step @p194 :rule symm :premises (@p152)) % 0.38/0.59 (step @p195 :rule symm :premises (@p65)) % 0.38/0.59 (step @p196 :rule symm :premises (@p167)) % 0.38/0.59 (step @p197 :rule trans :premises (@p52 @p196 @p195 @p194 @p193 @p156 @p64 @p192)) % 0.38/0.59 (step @p198 :rule cong :premises (@p110 @p98) :args (@t57)) % 0.38/0.59 (step @p199 :rule trans :premises (@p54 @p198)) % 0.38/0.59 (step @p200 :rule trans :premises (@p30 @p199)) % 0.38/0.59 (step @p201 :rule cong :premises (@p200 @p197) :args ((tptp.double_divide @t22 @t18))) % 0.38/0.59 (step @p202 :rule trans :premises (@p181 @p35)) % 0.38/0.59 (step @p203 :rule symm :premises (@p183)) % 0.38/0.59 (step @p204 :rule cong :premises (@p103 @p203) :args (@t65)) % 0.38/0.59 (step @p205 :rule trans :premises (@p204 @p94)) % 0.38/0.59 (step @p206 :rule cong :premises (@p205 @p17) :args (@t66)) % 0.38/0.59 (step @p207 :rule trans :premises (@p206 @p94)) % 0.38/0.59 (step @p208 :rule cong :premises (@p207 @p202) :args (@t67)) % 0.38/0.59 (step @p209 :rule trans :premises (@p208 @p154 @p152 @p65 @p167 @p138)) % 0.38/0.59 (step @p210 :rule trans :premises (@p110 @p154 @p152 @p65 @p167 @p138)) % 0.38/0.59 (step @p211 :rule cong :premises (@p103 @p210) :args (@t68)) % 0.38/0.59 (step @p212 :rule trans :premises (@p211 @p137 @p63 @p124 @p90)) % 0.38/0.59 (step @p213 :rule trans :premises (@p212 @p35)) % 0.38/0.59 (step @p214 :rule cong :premises (@p213 @p209) :args (@t69)) % 0.38/0.59 (step @p215 :rule trans :premises (@p59 @p214 @p201)) % 0.38/0.59 (step @p216 :rule cong :premises (@p45 @p215) :args (@t4)) % 0.38/0.59 (step @p217 :rule trans :premises (@p216 @p177)) % 0.38/0.59 (step @p218 :rule cong :premises (@p217 @p176) :args (@t75)) % 0.38/0.59 (step @p219 :rule trans :premises (@p61 @p218 @p137 @p63 @p124 @p90 @p89)) % 0.38/0.59 (step-pop @p280 :rule scope :premises (@p219)) % 0.38/0.59 (step-pop @p281 :rule scope :premises (@p280)) % 0.38/0.59 (step-pop @p282 :rule scope :premises (@p281)) % 0.38/0.59 (step-pop @p283 :rule scope :premises (@p282)) % 0.38/0.59 (step-pop @p284 :rule scope :premises (@p283)) % 0.38/0.59 (step-pop @p285 :rule scope :premises (@p284)) % 0.38/0.59 (step-pop @p286 :rule scope :premises (@p285)) % 0.38/0.59 (step-pop @p287 :rule scope :premises (@p286)) % 0.38/0.59 (step-pop @p288 :rule scope :premises (@p287)) % 0.38/0.59 (step-pop @p289 :rule scope :premises (@p288)) % 0.38/0.59 (step-pop @p290 :rule scope :premises (@p289)) % 0.38/0.59 (step-pop @p291 :rule scope :premises (@p290)) % 0.38/0.59 (step-pop @p292 :rule scope :premises (@p291)) % 0.38/0.59 (step-pop @p293 :rule scope :premises (@p292)) % 0.38/0.59 (step-pop @p294 :rule scope :premises (@p293)) % 0.38/0.59 (step-pop @p295 :rule scope :premises (@p294)) % 0.38/0.59 (step-pop @p296 :rule scope :premises (@p295)) % 0.38/0.59 (step-pop @p297 :rule scope :premises (@p296)) % 0.38/0.59 (step-pop @p298 :rule scope :premises (@p297)) % 0.38/0.59 (step-pop @p299 :rule scope :premises (@p298)) % 0.38/0.59 (step-pop @p300 :rule scope :premises (@p299)) % 0.38/0.59 (step-pop @p301 :rule scope :premises (@p300)) % 0.38/0.59 (step-pop @p302 :rule scope :premises (@p301)) % 0.38/0.59 (step @p220 :rule process_scope :premises (@p302) :args (@t93)) % 0.38/0.59 (step @p244 :rule implies_elim :premises (@p220)) % 0.38/0.59 (step @p245 :rule cnf_and_neg :args (@t94)) % 0.38/0.59 (step @p246 :rule resolution :premises (@p245 @p244) :args (true @t94)) % 0.38/0.59 (step @p247 :rule reordering :premises (@p246) :args ((or @t93 (not @t45) (not @t14) (not @t21) (not @t26) (not @t31) (not @t47) (not @t48) (not @t49) (not @t51) (not @t55) (not @t56) (not @t58) (not @t60) (not @t61) (not @t63) (not @t64) (not @t70) (not @t71) (not @t76) (not @t77) (not @t82) (not @t87) (not @t92)))) % 0.38/0.59 (step @p248 false :rule chain_m_resolution :premises (@p247 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p47 @p46 @p45 @p44 @p35 @p26 @p17 @p7 @p6) :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 true) (@list @t92 @t87 @t82 @t77 @t76 @t71 @t70 @t64 @t63 @t61 @t60 @t58 @t56 @t55 @t51 @t49 @t48 @t47 @t31 @t26 @t21 @t14 @t45 @t93))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------