%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP570-1 : 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 : n008.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 08:20:57 AM UTC 2026 % Result : Unsatisfiable 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP570-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 01:17:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.59 % SZS status Unsatisfiable % 0.41/0.59 % SZS output start Proof % 0.41/0.60 ( % 0.41/0.60 (declare-sort $$unsorted 0) % 0.41/0.60 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.a2 $$unsorted) % 0.41/0.60 (declare-const tptp.identity $$unsorted) % 0.41/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.41/0.60 (define @t2 () (tptp.double_divide tptp.identity tptp.identity)) % 0.41/0.60 (define @t3 () (@var "C" $$unsorted)) % 0.41/0.60 (define @t4 () (@var "A" $$unsorted)) % 0.41/0.60 (define @t5 () (tptp.double_divide (tptp.double_divide @t4 (tptp.double_divide (tptp.double_divide @t1 (tptp.double_divide @t4 @t3)) (tptp.double_divide @t3 tptp.identity))) @t2)) % 0.41/0.60 (define @t6 () (forall (@list @t4 @t1 @t3) (= @t5 @t1))) % 0.41/0.60 (define @t7 () (tptp.inverse @t4)) % 0.41/0.60 (define @t8 () (@list @t4)) % 0.41/0.60 (define @t9 () (forall @t8 (= @t7 (tptp.double_divide @t4 tptp.identity)))) % 0.41/0.60 (define @t10 () (tptp.multiply tptp.identity tptp.a2)) % 0.41/0.60 (define @t11 () (tptp.double_divide tptp.a2 tptp.identity)) % 0.41/0.60 (define @t12 () (tptp.inverse @t11)) % 0.41/0.60 (define @t13 () (tptp.double_divide @t11 tptp.identity)) % 0.41/0.60 (define @t14 () (= @t12 @t13)) % 0.41/0.60 (define @t15 () (@list @t11)) % 0.41/0.60 (define @t16 () (= @t13 @t12)) % 0.41/0.60 (define @t17 () (@list false)) % 0.41/0.60 (define @t18 () (@list @t9)) % 0.41/0.60 (define @t19 () (tptp.inverse @t13)) % 0.41/0.60 (define @t20 () (tptp.double_divide @t13 tptp.identity)) % 0.41/0.60 (define @t21 () (= @t19 @t20)) % 0.41/0.60 (define @t22 () (@list @t13)) % 0.41/0.60 (define @t23 () (= @t20 @t19)) % 0.41/0.60 (define @t24 () (tptp.inverse @t20)) % 0.41/0.60 (define @t25 () (tptp.double_divide @t20 tptp.identity)) % 0.41/0.60 (define @t26 () (= @t24 @t25)) % 0.41/0.60 (define @t27 () (@list @t20)) % 0.41/0.60 (define @t28 () (= @t25 @t24)) % 0.41/0.60 (define @t29 () (tptp.double_divide @t12 tptp.identity)) % 0.41/0.60 (define @t30 () (tptp.double_divide @t11 @t12)) % 0.41/0.60 (define @t31 () (tptp.double_divide @t11 @t30)) % 0.41/0.60 (define @t32 () (tptp.double_divide @t11 (tptp.double_divide (tptp.double_divide @t11 @t13) @t2))) % 0.41/0.60 (define @t33 () (tptp.double_divide @t11 (tptp.double_divide (tptp.double_divide tptp.a2 @t30) @t29))) % 0.41/0.60 (define @t34 () (tptp.double_divide @t31 @t29)) % 0.41/0.60 (define @t35 () (tptp.double_divide @t11 @t34)) % 0.41/0.60 (define @t36 () (tptp.double_divide @t13 @t30)) % 0.41/0.60 (define @t37 () (tptp.double_divide @t11 (tptp.double_divide @t36 @t29))) % 0.41/0.60 (define @t38 () (tptp.double_divide @t29 tptp.identity)) % 0.41/0.60 (define @t39 () (tptp.double_divide tptp.a2 @t34)) % 0.41/0.60 (define @t40 () (tptp.double_divide @t39 @t38)) % 0.41/0.60 (define @t41 () (tptp.double_divide @t31 @t40)) % 0.41/0.60 (define @t42 () (tptp.double_divide (tptp.double_divide @t13 @t34) @t38)) % 0.41/0.60 (define @t43 () (tptp.double_divide @t31 @t42)) % 0.41/0.60 (define @t44 () (tptp.double_divide @t32 @t2)) % 0.41/0.60 (define @t45 () (tptp.double_divide @t32 (tptp.double_divide (tptp.double_divide tptp.a2 @t44) (tptp.double_divide @t2 tptp.identity)))) % 0.41/0.60 (define @t46 () (tptp.double_divide @t36 (tptp.double_divide @t37 @t38))) % 0.41/0.60 (define @t47 () (= @t10 @t13)) % 0.41/0.60 (define @t48 () (= tptp.identity @t30)) % 0.41/0.60 (define @t49 () (tptp.double_divide @t33 @t2)) % 0.41/0.60 (define @t50 () (= tptp.a2 @t49)) % 0.41/0.60 (define @t51 () (tptp.double_divide @t35 @t2)) % 0.41/0.60 (define @t52 () (= @t11 @t51)) % 0.41/0.60 (define @t53 () (tptp.double_divide @t37 @t2)) % 0.41/0.60 (define @t54 () (= @t13 @t53)) % 0.41/0.60 (define @t55 () (tptp.double_divide (tptp.double_divide @t11 (tptp.double_divide (tptp.double_divide @t20 @t30) @t29)) @t2)) % 0.41/0.60 (define @t56 () (= @t20 @t55)) % 0.41/0.60 (define @t57 () (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 @t11) @t2)) @t2)) % 0.41/0.60 (define @t58 () (= tptp.a2 @t57)) % 0.41/0.60 (define @t59 () (= @t11 @t44)) % 0.41/0.60 (define @t60 () (tptp.double_divide @t13 @t19)) % 0.41/0.60 (define @t61 () (= tptp.identity @t60)) % 0.41/0.60 (define @t62 () (tptp.double_divide @t41 @t2)) % 0.41/0.60 (define @t63 () (= tptp.a2 @t62)) % 0.41/0.60 (define @t64 () (tptp.double_divide @t43 @t2)) % 0.41/0.60 (define @t65 () (= @t13 @t64)) % 0.41/0.60 (define @t66 () (tptp.double_divide @t45 @t2)) % 0.41/0.60 (define @t67 () (= tptp.a2 @t66)) % 0.41/0.60 (define @t68 () (tptp.double_divide @t49 @t2)) % 0.41/0.60 (define @t69 () (tptp.double_divide tptp.identity @t68)) % 0.41/0.60 (define @t70 () (tptp.double_divide @t69 @t2)) % 0.41/0.60 (define @t71 () (= @t33 @t70)) % 0.41/0.60 (define @t72 () (= @t35 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide @t51 @t2)) @t2))) % 0.41/0.60 (define @t73 () (tptp.double_divide @t46 @t2)) % 0.41/0.60 (define @t74 () (= @t11 @t73)) % 0.41/0.60 (define @t75 () (= @t37 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide @t53 @t2)) @t2))) % 0.41/0.60 (define @t76 () (tptp.double_divide (tptp.double_divide @t31 (tptp.double_divide (tptp.double_divide @t25 @t34) @t38)) @t2)) % 0.41/0.60 (define @t77 () (= @t25 @t76)) % 0.41/0.60 (define @t78 () (tptp.double_divide @t20 @t24)) % 0.41/0.60 (define @t79 () (= tptp.identity @t78)) % 0.41/0.60 (define @t80 () (= @t41 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide @t62 @t2)) @t2))) % 0.41/0.60 (define @t81 () (tptp.double_divide @t64 @t2)) % 0.41/0.60 (define @t82 () (tptp.double_divide tptp.identity @t81)) % 0.41/0.60 (define @t83 () (tptp.double_divide @t82 @t2)) % 0.41/0.60 (define @t84 () (= @t43 @t83)) % 0.41/0.60 (define @t85 () (tptp.double_divide @t66 @t2)) % 0.41/0.60 (define @t86 () (tptp.double_divide tptp.identity @t85)) % 0.41/0.60 (define @t87 () (tptp.double_divide @t86 @t2)) % 0.41/0.60 (define @t88 () (= @t45 @t87)) % 0.41/0.60 (define @t89 () (tptp.double_divide @t73 @t2)) % 0.41/0.60 (define @t90 () (tptp.double_divide tptp.identity @t89)) % 0.41/0.60 (define @t91 () (tptp.double_divide @t90 @t2)) % 0.41/0.60 (define @t92 () (= @t46 @t91)) % 0.41/0.60 (define @t93 () (tptp.double_divide @t44 @t2)) % 0.41/0.60 (define @t94 () (tptp.double_divide tptp.identity @t93)) % 0.41/0.60 (define @t95 () (tptp.double_divide @t57 @t2)) % 0.41/0.60 (define @t96 () (tptp.double_divide tptp.identity @t95)) % 0.41/0.60 (define @t97 () (= tptp.a2 @t10)) % 0.41/0.60 (define @t98 () (and @t47 @t16 @t23 @t48 @t50 @t52 @t54 @t56 @t58 @t59 @t28 @t61 @t63 @t65 @t67 @t71 @t72 @t74 @t75 @t77 @t79 @t80 @t84 @t88 @t92)) % 0.41/0.60 (assume @p1 @t6) % 0.41/0.60 (assume @p2 (forall (@list @t4 @t1) (= (tptp.multiply @t4 @t1) (tptp.double_divide (tptp.double_divide @t1 @t4) tptp.identity)))) % 0.41/0.60 (assume @p3 @t9) % 0.41/0.60 (assume @p4 (forall @t8 (= tptp.identity (tptp.double_divide @t4 @t7)))) % 0.41/0.60 (assume @p5 (not (= @t10 tptp.a2))) % 0.41/0.60 (step @p6 :rule symm :premises (@p5)) % 0.41/0.60 (step @p7 :rule instantiate :premises (@p2) :args ((@list tptp.identity tptp.a2))) % 0.41/0.60 (step @p8 :rule eq-symm :args (@t12 @t13)) % 0.41/0.60 (step @p9 :rule refl :args (@t9)) % 0.41/0.60 (step @p10 :rule cong :premises (@p9 @p8) :args ((=> @t9 @t14))) % 0.41/0.60 (assume-push @p212 @t9) % 0.41/0.60 (step @p12 :rule instantiate :premises (@p3) :args (@t15)) % 0.41/0.60 (step-pop @p213 :rule scope :premises (@p12)) % 0.41/0.60 (step @p13 :rule process_scope :premises (@p213) :args (@t14)) % 0.41/0.60 (step @p15 :rule eq_resolve :premises (@p13 @p10)) % 0.41/0.60 (step @p16 :rule implies_elim :premises (@p15)) % 0.41/0.60 (step @p17 :rule chain_m_resolution :premises (@p16 @p3) :args (@t16 @t17 @t18)) % 0.41/0.60 (step @p18 :rule eq-symm :args (@t19 @t20)) % 0.41/0.60 (step @p19 :rule cong :premises (@p9 @p18) :args ((=> @t9 @t21))) % 0.41/0.60 (assume-push @p214 @t9) % 0.41/0.60 (step @p21 :rule instantiate :premises (@p3) :args (@t22)) % 0.41/0.60 (step-pop @p215 :rule scope :premises (@p21)) % 0.41/0.60 (step @p22 :rule process_scope :premises (@p215) :args (@t21)) % 0.41/0.60 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.41/0.60 (step @p25 :rule implies_elim :premises (@p24)) % 0.41/0.60 (step @p26 :rule chain_m_resolution :premises (@p25 @p3) :args (@t23 @t17 @t18)) % 0.41/0.60 (step @p27 :rule instantiate :premises (@p4) :args (@t15)) % 0.41/0.60 (step @p28 :rule eq-symm :args (@t5 @t1)) % 0.41/0.60 (step @p29 :rule cong :premises (@p28) :args (@t6)) % 0.41/0.60 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 0.41/0.60 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t11 tptp.a2 @t12))) % 0.41/0.60 (step @p32 :rule instantiate :premises (@p30) :args ((@list @t11 @t11 @t12))) % 0.41/0.60 (step @p33 :rule instantiate :premises (@p30) :args ((@list @t11 @t13 @t12))) % 0.41/0.60 (step @p34 :rule instantiate :premises (@p30) :args ((@list @t11 @t20 @t12))) % 0.41/0.60 (step @p35 :rule instantiate :premises (@p30) :args ((@list tptp.a2 tptp.a2 tptp.identity))) % 0.41/0.60 (step @p36 :rule instantiate :premises (@p30) :args ((@list @t11 @t11 tptp.identity))) % 0.41/0.60 (step @p37 :rule eq-symm :args (@t24 @t25)) % 0.41/0.60 (step @p38 :rule cong :premises (@p9 @p37) :args ((=> @t9 @t26))) % 0.41/0.60 (assume-push @p216 @t9) % 0.41/0.60 (step @p40 :rule instantiate :premises (@p3) :args (@t27)) % 0.41/0.60 (step-pop @p217 :rule scope :premises (@p40)) % 0.41/0.60 (step @p41 :rule process_scope :premises (@p217) :args (@t26)) % 0.41/0.60 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.41/0.60 (step @p44 :rule implies_elim :premises (@p43)) % 0.41/0.60 (step @p45 :rule chain_m_resolution :premises (@p44 @p3) :args (@t28 @t17 @t18)) % 0.41/0.60 (step @p46 :rule instantiate :premises (@p4) :args (@t22)) % 0.41/0.60 (step @p47 :rule instantiate :premises (@p30) :args ((@list @t31 tptp.a2 @t29))) % 0.41/0.60 (step @p48 :rule instantiate :premises (@p30) :args ((@list @t31 @t13 @t29))) % 0.41/0.60 (step @p49 :rule instantiate :premises (@p30) :args ((@list @t32 tptp.a2 @t2))) % 0.41/0.60 (step @p50 :rule instantiate :premises (@p30) :args ((@list tptp.identity @t33 tptp.identity))) % 0.41/0.60 (step @p51 :rule instantiate :premises (@p30) :args ((@list tptp.identity @t35 tptp.identity))) % 0.41/0.60 (step @p52 :rule instantiate :premises (@p30) :args ((@list @t36 @t11 @t29))) % 0.41/0.60 (step @p53 :rule instantiate :premises (@p30) :args ((@list tptp.identity @t37 tptp.identity))) % 0.41/0.60 (step @p54 :rule instantiate :premises (@p30) :args ((@list @t31 @t25 @t29))) % 0.41/0.60 (step @p55 :rule instantiate :premises (@p4) :args (@t27)) % 0.41/0.60 (step @p56 :rule instantiate :premises (@p30) :args ((@list tptp.identity @t41 tptp.identity))) % 0.41/0.60 (step @p57 :rule instantiate :premises (@p30) :args ((@list tptp.identity @t43 tptp.identity))) % 0.41/0.60 (step @p58 :rule instantiate :premises (@p30) :args ((@list tptp.identity @t45 tptp.identity))) % 0.41/0.60 (step @p59 :rule instantiate :premises (@p30) :args ((@list tptp.identity @t46 tptp.identity))) % 0.41/0.60 (assume-push @p218 @t47) % 0.41/0.60 (assume-push @p219 @t16) % 0.41/0.60 (assume-push @p220 @t23) % 0.41/0.60 (assume-push @p221 @t48) % 0.41/0.60 (assume-push @p222 @t50) % 0.41/0.60 (assume-push @p223 @t52) % 0.41/0.60 (assume-push @p224 @t54) % 0.41/0.60 (assume-push @p225 @t56) % 0.41/0.60 (assume-push @p226 @t58) % 0.41/0.60 (assume-push @p227 @t59) % 0.41/0.60 (assume-push @p228 @t28) % 0.41/0.60 (assume-push @p229 @t61) % 0.41/0.60 (assume-push @p230 @t63) % 0.41/0.60 (assume-push @p231 @t65) % 0.41/0.60 (assume-push @p232 @t67) % 0.41/0.60 (assume-push @p233 @t71) % 0.41/0.60 (assume-push @p234 @t72) % 0.41/0.60 (assume-push @p235 @t74) % 0.41/0.60 (assume-push @p236 @t75) % 0.41/0.60 (assume-push @p237 @t77) % 0.41/0.60 (assume-push @p238 @t79) % 0.41/0.60 (assume-push @p239 @t80) % 0.41/0.60 (assume-push @p240 @t84) % 0.41/0.60 (assume-push @p241 @t88) % 0.41/0.60 (assume-push @p242 @t92) % 0.41/0.60 (step @p85 :rule symm :premises (@p7)) % 0.41/0.60 (step @p86 :rule symm :premises (@p48)) % 0.41/0.60 (step @p87 :rule refl :args (@t2)) % 0.41/0.60 (step @p88 :rule refl :args (tptp.identity)) % 0.41/0.60 (step @p89 :rule cong :premises (@p17 @p88) :args (@t20)) % 0.41/0.60 (step @p90 :rule cong :premises (@p89 @p88) :args (@t25)) % 0.41/0.60 (step @p40 :rule instantiate :premises (@p3) :args (@t27)) % 0.41/0.60 (step @p91 :rule trans :premises (@p40 @p90)) % 0.41/0.60 (step @p21 :rule instantiate :premises (@p3) :args (@t22)) % 0.41/0.60 (step @p92 :rule trans :premises (@p21 @p89)) % 0.41/0.60 (step @p93 :rule refl :args (@t11)) % 0.41/0.60 (step @p94 :rule cong :premises (@p93 @p27) :args (@t13)) % 0.41/0.60 (step @p95 :rule cong :premises (@p94 @p92) :args (@t60)) % 0.41/0.60 (step @p96 :rule trans :premises (@p46 @p95)) % 0.41/0.60 (step @p12 :rule instantiate :premises (@p3) :args (@t15)) % 0.41/0.60 (step @p97 :rule cong :premises (@p12 @p96) :args (@t29)) % 0.41/0.60 (step @p98 :rule trans :premises (@p89 @p97)) % 0.41/0.60 (step @p99 :rule cong :premises (@p98 @p91) :args (@t78)) % 0.41/0.60 (step @p100 :rule trans :premises (@p55 @p99)) % 0.41/0.60 (step @p101 :rule trans :premises (@p12 @p94)) % 0.41/0.60 (step @p102 :rule cong :premises (@p101 @p100) :args (@t29)) % 0.41/0.60 (step @p103 :rule trans :premises (@p89 @p102)) % 0.41/0.60 (step @p104 :rule symm :premises (@p34)) % 0.41/0.60 (step @p105 :rule trans :premises (@p104 @p103)) % 0.41/0.60 (step @p106 :rule cong :premises (@p105 @p87) :args ((tptp.double_divide @t55 @t2))) % 0.41/0.60 (step @p107 :rule symm :premises (@p89)) % 0.41/0.60 (step @p108 :rule symm :premises (@p27)) % 0.41/0.60 (step @p109 :rule symm :premises (@p96)) % 0.41/0.60 (step @p110 :rule cong :premises (@p93 @p109) :args (@t35)) % 0.41/0.60 (step @p111 :rule symm :premises (@p51)) % 0.41/0.60 (step @p112 :rule symm :premises (@p36)) % 0.41/0.60 (step @p113 :rule trans :premises (@p112 @p32)) % 0.41/0.60 (step @p114 :rule cong :premises (@p113 @p87) :args (@t93)) % 0.41/0.60 (step @p115 :rule cong :premises (@p88 @p114) :args (@t94)) % 0.41/0.60 (step @p116 :rule cong :premises (@p115 @p87) :args ((tptp.double_divide @t94 @t2))) % 0.41/0.60 (step @p117 :rule symm :premises (@p115)) % 0.41/0.60 (step @p118 :rule symm :premises (@p52)) % 0.41/0.60 (step @p119 :rule trans :premises (@p118 @p32)) % 0.41/0.60 (step @p120 :rule cong :premises (@p119 @p87) :args (@t89)) % 0.41/0.60 (step @p121 :rule cong :premises (@p88 @p120) :args (@t90)) % 0.41/0.60 (step @p122 :rule trans :premises (@p121 @p117)) % 0.41/0.60 (step @p123 :rule cong :premises (@p122 @p87) :args (@t91)) % 0.41/0.60 (step @p124 :rule symm :premises (@p54)) % 0.41/0.60 (step @p125 :rule trans :premises (@p124 @p90)) % 0.41/0.60 (step @p126 :rule refl :args (@t37)) % 0.41/0.60 (step @p127 :rule cong :premises (@p126 @p125) :args ((tptp.double_divide @t37 @t76))) % 0.41/0.60 (step @p128 :rule symm :premises (@p125)) % 0.41/0.60 (step @p129 :rule symm :premises (@p53)) % 0.41/0.60 (step @p130 :rule trans :premises (@p110 @p33)) % 0.41/0.60 (step @p131 :rule cong :premises (@p130 @p87) :args (@t51)) % 0.41/0.60 (step @p132 :rule symm :premises (@p110)) % 0.41/0.60 (step @p133 :rule trans :premises (@p86 @p132)) % 0.41/0.60 (step @p134 :rule cong :premises (@p133 @p87) :args (@t81)) % 0.41/0.60 (step @p135 :rule trans :premises (@p134 @p131)) % 0.41/0.60 (step @p136 :rule cong :premises (@p88 @p135) :args (@t82)) % 0.41/0.60 (step @p137 :rule cong :premises (@p136 @p87) :args (@t83)) % 0.41/0.60 (step @p138 :rule trans :premises (@p89 @p102 @p57 @p137 @p129)) % 0.41/0.60 (step @p139 :rule symm :premises (@p98)) % 0.41/0.60 (step @p140 :rule trans :premises (@p139 @p138)) % 0.41/0.60 (step @p141 :rule cong :premises (@p140 @p128) :args (@t42)) % 0.41/0.60 (step @p142 :rule trans :premises (@p55 @p99 @p141 @p127)) % 0.41/0.60 (step @p143 :rule cong :premises (@p12 @p27) :args (@t29)) % 0.41/0.60 (step @p144 :rule trans :premises (@p89 @p143)) % 0.41/0.60 (step @p145 :rule cong :premises (@p144 @p142) :args (@t25)) % 0.41/0.60 (step @p146 :rule trans :premises (@p124 @p145 @p59 @p123 @p116 @p111 @p110 @p17)) % 0.41/0.60 (step @p147 :rule refl :args (tptp.a2)) % 0.41/0.60 (step @p148 :rule cong :premises (@p147 @p109) :args (@t39)) % 0.41/0.60 (step @p149 :rule cong :premises (@p148 @p146) :args ((tptp.double_divide @t39 @t76))) % 0.41/0.60 (step @p150 :rule refl :args (@t39)) % 0.41/0.60 (step @p151 :rule cong :premises (@p150 @p128) :args (@t40)) % 0.41/0.60 (step @p152 :rule trans :premises (@p151 @p149 @p108)) % 0.41/0.60 (step @p153 :rule symm :premises (@p101)) % 0.41/0.60 (step @p154 :rule cong :premises (@p153 @p152) :args (@t41)) % 0.41/0.60 (step @p155 :rule symm :premises (@p56)) % 0.41/0.60 (step @p156 :rule symm :premises (@p31)) % 0.41/0.60 (step @p157 :rule trans :premises (@p156 @p47)) % 0.41/0.60 (step @p158 :rule cong :premises (@p157 @p87) :args (@t68)) % 0.41/0.60 (step @p159 :rule cong :premises (@p88 @p158) :args (@t69)) % 0.41/0.60 (step @p160 :rule symm :premises (@p35)) % 0.41/0.60 (step @p161 :rule trans :premises (@p160 @p31)) % 0.41/0.60 (step @p162 :rule cong :premises (@p161 @p87) :args (@t95)) % 0.41/0.60 (step @p163 :rule cong :premises (@p88 @p162) :args (@t96)) % 0.41/0.60 (step @p164 :rule trans :premises (@p163 @p159)) % 0.41/0.60 (step @p165 :rule cong :premises (@p164 @p87) :args ((tptp.double_divide @t96 @t2))) % 0.41/0.60 (step @p166 :rule symm :premises (@p163)) % 0.41/0.60 (step @p167 :rule cong :premises (@p166 @p87) :args (@t70)) % 0.41/0.60 (step @p168 :rule trans :premises (@p167 @p165 @p155 @p154 @p107)) % 0.41/0.60 (step @p169 :rule symm :premises (@p50)) % 0.41/0.60 (step @p170 :rule symm :premises (@p167)) % 0.41/0.60 (step @p171 :rule symm :premises (@p49)) % 0.41/0.60 (step @p172 :rule trans :premises (@p171 @p31)) % 0.41/0.60 (step @p173 :rule cong :premises (@p172 @p87) :args (@t85)) % 0.41/0.60 (step @p174 :rule cong :premises (@p88 @p173) :args (@t86)) % 0.41/0.60 (step @p175 :rule trans :premises (@p174 @p166)) % 0.41/0.60 (step @p176 :rule cong :premises (@p175 @p87) :args (@t87)) % 0.41/0.60 (step @p177 :rule trans :premises (@p58 @p176 @p170 @p169)) % 0.41/0.60 (step @p178 :rule trans :premises (@p177 @p50 @p168 @p34)) % 0.41/0.60 (step @p179 :rule cong :premises (@p178 @p87) :args (@t66)) % 0.41/0.60 (step @p180 :rule trans :premises (@p49 @p179 @p106 @p86 @p85)) % 0.41/0.60 (step-pop @p243 :rule scope :premises (@p180)) % 0.41/0.60 (step-pop @p244 :rule scope :premises (@p243)) % 0.41/0.60 (step-pop @p245 :rule scope :premises (@p244)) % 0.41/0.60 (step-pop @p246 :rule scope :premises (@p245)) % 0.41/0.60 (step-pop @p247 :rule scope :premises (@p246)) % 0.41/0.60 (step-pop @p248 :rule scope :premises (@p247)) % 0.41/0.60 (step-pop @p249 :rule scope :premises (@p248)) % 0.41/0.60 (step-pop @p250 :rule scope :premises (@p249)) % 0.41/0.60 (step-pop @p251 :rule scope :premises (@p250)) % 0.41/0.60 (step-pop @p252 :rule scope :premises (@p251)) % 0.41/0.60 (step-pop @p253 :rule scope :premises (@p252)) % 0.41/0.60 (step-pop @p254 :rule scope :premises (@p253)) % 0.41/0.60 (step-pop @p255 :rule scope :premises (@p254)) % 0.41/0.60 (step-pop @p256 :rule scope :premises (@p255)) % 0.41/0.60 (step-pop @p257 :rule scope :premises (@p256)) % 0.41/0.60 (step-pop @p258 :rule scope :premises (@p257)) % 0.41/0.60 (step-pop @p259 :rule scope :premises (@p258)) % 0.41/0.60 (step-pop @p260 :rule scope :premises (@p259)) % 0.41/0.60 (step-pop @p261 :rule scope :premises (@p260)) % 0.41/0.60 (step-pop @p262 :rule scope :premises (@p261)) % 0.41/0.60 (step-pop @p263 :rule scope :premises (@p262)) % 0.41/0.60 (step-pop @p264 :rule scope :premises (@p263)) % 0.41/0.60 (step-pop @p265 :rule scope :premises (@p264)) % 0.41/0.60 (step-pop @p266 :rule scope :premises (@p265)) % 0.41/0.60 (step-pop @p267 :rule scope :premises (@p266)) % 0.41/0.60 (step @p181 :rule process_scope :premises (@p267) :args (@t97)) % 0.41/0.60 (step @p207 :rule implies_elim :premises (@p181)) % 0.41/0.60 (step @p208 :rule cnf_and_neg :args (@t98)) % 0.41/0.60 (step @p209 :rule resolution :premises (@p208 @p207) :args (true @t98)) % 0.41/0.60 (step @p210 :rule reordering :premises (@p209) :args ((or @t97 (not @t47) (not @t16) (not @t23) (not @t48) (not @t50) (not @t52) (not @t54) (not @t56) (not @t58) (not @t59) (not @t28) (not @t61) (not @t63) (not @t65) (not @t67) (not @t71) (not @t72) (not @t74) (not @t75) (not @t77) (not @t79) (not @t80) (not @t84) (not @t88) (not @t92)))) % 0.41/0.60 (step @p211 false :rule chain_m_resolution :premises (@p210 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p36 @p35 @p34 @p33 @p32 @p31 @p27 @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 false false true) (@list @t92 @t88 @t84 @t80 @t79 @t77 @t75 @t74 @t72 @t71 @t67 @t65 @t63 @t61 @t28 @t59 @t58 @t56 @t54 @t52 @t50 @t48 @t23 @t16 @t47 @t97))) % 0.41/0.60 ) % 0.41/0.60 % SZS output end Proof % 0.41/0.61 % cvc5 exiting %------------------------------------------------------------------------------