%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP546-1 : 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 : n010.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 08:20:54 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.73s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP546-1 : TPTP v9.2.1. Released v2.6.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:15:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.73 % SZS status Unsatisfiable % 0.53/0.73 % SZS output start Proof % 0.53/0.73 ( % 0.53/0.73 (declare-sort $$unsorted 0) % 0.53/0.73 (declare-const tptp.a2 $$unsorted) % 0.53/0.73 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (declare-const tptp.b2 $$unsorted) % 0.53/0.73 (declare-const tptp.identity $$unsorted) % 0.53/0.73 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.73 (define @t1 () (@var "C" $$unsorted)) % 0.53/0.73 (define @t2 () (@var "A" $$unsorted)) % 0.53/0.73 (define @t3 () (@var "B" $$unsorted)) % 0.53/0.73 (define @t4 () (tptp.divide (tptp.divide tptp.identity (tptp.divide @t2 @t3)) (tptp.divide (tptp.divide @t3 @t1) @t2))) % 0.53/0.73 (define @t5 () (forall (@list @t2 @t3 @t1) (= @t4 @t1))) % 0.53/0.73 (define @t6 () (forall (@list @t2 @t3) (= (tptp.multiply @t2 @t3) (tptp.divide @t2 (tptp.divide tptp.identity @t3))))) % 0.53/0.73 (define @t7 () (@list @t2)) % 0.53/0.73 (define @t8 () (tptp.inverse tptp.b2)) % 0.53/0.73 (define @t9 () (tptp.multiply @t8 tptp.b2)) % 0.53/0.73 (define @t10 () (tptp.multiply @t9 tptp.a2)) % 0.53/0.73 (define @t11 () (tptp.divide tptp.identity tptp.b2)) % 0.53/0.73 (define @t12 () (tptp.divide tptp.identity tptp.a2)) % 0.53/0.73 (define @t13 () (tptp.divide @t8 @t11)) % 0.53/0.73 (define @t14 () (tptp.divide @t13 @t12)) % 0.53/0.73 (define @t15 () (tptp.divide @t12 @t8)) % 0.53/0.73 (define @t16 () (tptp.divide tptp.identity @t15)) % 0.53/0.73 (define @t17 () (tptp.divide @t11 tptp.identity)) % 0.53/0.73 (define @t18 () (tptp.divide @t11 @t11)) % 0.53/0.73 (define @t19 () (tptp.divide tptp.identity @t16)) % 0.53/0.73 (define @t20 () (tptp.divide @t16 @t14)) % 0.53/0.73 (define @t21 () (tptp.divide @t20 tptp.identity)) % 0.53/0.73 (define @t22 () (tptp.divide tptp.identity @t19)) % 0.53/0.73 (define @t23 () (tptp.divide @t14 tptp.identity)) % 0.53/0.73 (define @t24 () (tptp.multiply tptp.identity @t16)) % 0.53/0.73 (define @t25 () (= @t24 @t22)) % 0.53/0.73 (define @t26 () (@list tptp.identity @t16)) % 0.53/0.73 (define @t27 () (= @t22 @t24)) % 0.53/0.73 (define @t28 () (@list false)) % 0.53/0.73 (define @t29 () (@list @t6)) % 0.53/0.73 (define @t30 () (tptp.divide @t22 @t21)) % 0.53/0.73 (define @t31 () (tptp.divide @t30 tptp.identity)) % 0.53/0.73 (define @t32 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t22))) % 0.53/0.73 (define @t33 () (tptp.divide tptp.identity @t17)) % 0.53/0.73 (define @t34 () (tptp.divide @t11 @t32)) % 0.53/0.73 (define @t35 () (tptp.divide @t32 @t31)) % 0.53/0.73 (define @t36 () (tptp.divide @t35 @t11)) % 0.53/0.73 (define @t37 () (tptp.divide tptp.identity @t32)) % 0.53/0.73 (define @t38 () (tptp.divide @t35 tptp.identity)) % 0.53/0.73 (define @t39 () (tptp.divide @t13 @t16)) % 0.53/0.73 (define @t40 () (tptp.divide @t39 tptp.identity)) % 0.53/0.73 (define @t41 () (tptp.divide (tptp.divide tptp.identity (tptp.divide @t16 @t8)) @t39)) % 0.53/0.73 (define @t42 () (tptp.divide @t33 @t30)) % 0.53/0.73 (define @t43 () (tptp.multiply tptp.identity @t32)) % 0.53/0.73 (define @t44 () (tptp.divide tptp.identity @t37)) % 0.53/0.73 (define @t45 () (= @t43 @t44)) % 0.53/0.73 (define @t46 () (= @t44 @t43)) % 0.53/0.73 (define @t47 () (= @t9 @t13)) % 0.53/0.73 (define @t48 () (= @t10 (tptp.divide @t9 @t12))) % 0.53/0.73 (define @t49 () (= @t8 @t11)) % 0.53/0.73 (define @t50 () (tptp.divide @t33 @t18)) % 0.53/0.73 (define @t51 () (= tptp.b2 @t50)) % 0.53/0.73 (define @t52 () (= @t11 @t20)) % 0.53/0.73 (define @t53 () (= tptp.identity @t18)) % 0.53/0.73 (define @t54 () (= @t14 @t30)) % 0.53/0.73 (define @t55 () (tptp.divide @t18 tptp.identity)) % 0.53/0.73 (define @t56 () (= @t17 (tptp.divide (tptp.divide tptp.identity @t55) @t50))) % 0.53/0.73 (define @t57 () (= tptp.a2 (tptp.divide (tptp.divide tptp.identity (tptp.divide @t8 tptp.identity)) @t15))) % 0.53/0.73 (define @t58 () (tptp.divide (tptp.divide tptp.identity @t23) @t20)) % 0.53/0.73 (define @t59 () (= @t15 @t58)) % 0.53/0.73 (define @t60 () (= @t11 @t41)) % 0.53/0.73 (define @t61 () (tptp.divide @t21 tptp.identity)) % 0.53/0.73 (define @t62 () (tptp.divide tptp.identity @t61)) % 0.53/0.73 (define @t63 () (tptp.divide @t62 @t30)) % 0.53/0.73 (define @t64 () (= @t19 @t63)) % 0.53/0.73 (define @t65 () (= @t21 @t35)) % 0.53/0.73 (define @t66 () (tptp.divide tptp.identity @t21)) % 0.53/0.73 (define @t67 () (tptp.divide @t66 @t58)) % 0.53/0.73 (define @t68 () (= @t23 @t67)) % 0.53/0.73 (define @t69 () (tptp.divide tptp.identity tptp.identity)) % 0.53/0.73 (define @t70 () (= tptp.identity @t69)) % 0.53/0.73 (define @t71 () (tptp.divide (tptp.divide tptp.identity @t34) @t36)) % 0.53/0.73 (define @t72 () (= @t31 @t71)) % 0.53/0.73 (define @t73 () (tptp.divide @t44 @t38)) % 0.53/0.73 (define @t74 () (= @t31 @t73)) % 0.53/0.73 (define @t75 () (tptp.divide tptp.identity @t31)) % 0.53/0.73 (define @t76 () (tptp.divide @t75 @t42)) % 0.53/0.73 (define @t77 () (= @t17 @t76)) % 0.53/0.73 (define @t78 () (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity @t33)) (tptp.divide @t50 tptp.identity))) % 0.53/0.73 (define @t79 () (= @t18 @t78)) % 0.53/0.73 (define @t80 () (tptp.divide @t36 tptp.identity)) % 0.53/0.73 (define @t81 () (tptp.divide tptp.identity @t80)) % 0.53/0.73 (define @t82 () (tptp.divide @t81 @t71)) % 0.53/0.73 (define @t83 () (= @t34 @t82)) % 0.53/0.73 (define @t84 () (= @t37 (tptp.divide (tptp.divide tptp.identity (tptp.divide @t38 tptp.identity)) @t73))) % 0.53/0.73 (define @t85 () (tptp.divide tptp.identity @t40)) % 0.53/0.73 (define @t86 () (tptp.divide @t85 @t41)) % 0.53/0.73 (define @t87 () (tptp.divide @t41 tptp.identity)) % 0.53/0.73 (define @t88 () (tptp.divide tptp.identity @t87)) % 0.53/0.73 (define @t89 () (tptp.divide @t88 @t86)) % 0.53/0.73 (define @t90 () (= @t40 @t89)) % 0.53/0.73 (define @t91 () (= tptp.a2 (tptp.divide (tptp.divide tptp.identity (tptp.divide @t42 tptp.identity)) (tptp.divide @t12 @t42)))) % 0.53/0.73 (define @t92 () (tptp.divide @t34 @t8)) % 0.53/0.73 (define @t93 () (tptp.divide tptp.identity @t13)) % 0.53/0.73 (define @t94 () (tptp.divide @t93 @t92)) % 0.53/0.73 (define @t95 () (= @t32 @t94)) % 0.53/0.73 (define @t96 () (tptp.divide @t20 @t11)) % 0.53/0.73 (define @t97 () (tptp.divide @t96 tptp.identity)) % 0.53/0.73 (define @t98 () (tptp.divide tptp.identity @t8)) % 0.53/0.73 (define @t99 () (= tptp.a2 @t10)) % 0.53/0.73 (define @t100 () (and @t47 @t48 @t49 @t51 @t52 @t53 @t54 @t56 @t57 @t59 @t60 @t64 @t65 @t68 @t27 @t70 @t72 @t74 @t77 @t79 @t83 @t84 @t90 @t91 @t46 @t95)) % 0.53/0.73 (assume @p1 @t5) % 0.53/0.73 (assume @p2 @t6) % 0.53/0.73 (assume @p3 (forall @t7 (= (tptp.inverse @t2) (tptp.divide tptp.identity @t2)))) % 0.53/0.73 (assume @p4 (forall @t7 (= tptp.identity (tptp.divide @t2 @t2)))) % 0.53/0.73 (assume @p5 (not (= @t10 tptp.a2))) % 0.53/0.73 (step @p6 :rule symm :premises (@p5)) % 0.53/0.73 (step @p7 :rule instantiate :premises (@p2) :args ((@list @t8 tptp.b2))) % 0.53/0.73 (step @p8 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.a2))) % 0.53/0.73 (step @p9 :rule instantiate :premises (@p3) :args ((@list tptp.b2))) % 0.53/0.73 (step @p10 :rule eq-symm :args (@t4 @t1)) % 0.53/0.73 (step @p11 :rule cong :premises (@p10) :args (@t5)) % 0.53/0.73 (step @p12 :rule eq_resolve :premises (@p1 @p11)) % 0.53/0.73 (step @p13 :rule instantiate :premises (@p12) :args ((@list @t11 tptp.identity tptp.b2))) % 0.53/0.73 (step @p14 :rule instantiate :premises (@p12) :args ((@list @t12 @t8 @t11))) % 0.53/0.73 (step @p15 :rule instantiate :premises (@p4) :args ((@list @t11))) % 0.53/0.73 (step @p16 :rule instantiate :premises (@p12) :args ((@list tptp.identity @t16 @t14))) % 0.53/0.73 (step @p17 :rule instantiate :premises (@p12) :args ((@list @t18 tptp.identity @t17))) % 0.53/0.73 (step @p18 :rule instantiate :premises (@p12) :args ((@list @t8 tptp.identity tptp.a2))) % 0.53/0.73 (step @p19 :rule instantiate :premises (@p12) :args ((@list @t14 tptp.identity @t15))) % 0.53/0.73 (step @p20 :rule instantiate :premises (@p12) :args ((@list @t16 @t8 @t11))) % 0.53/0.73 (step @p21 :rule instantiate :premises (@p12) :args ((@list @t21 tptp.identity @t19))) % 0.53/0.73 (step @p22 :rule instantiate :premises (@p12) :args ((@list tptp.identity @t22 @t21))) % 0.53/0.73 (step @p23 :rule instantiate :premises (@p12) :args ((@list @t20 tptp.identity @t23))) % 0.53/0.73 (step @p24 :rule eq-symm :args (@t24 @t22)) % 0.53/0.73 (step @p25 :rule refl :args (@t6)) % 0.53/0.73 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t6 @t25))) % 0.53/0.73 (assume-push @p238 @t6) % 0.53/0.73 (step @p28 :rule instantiate :premises (@p2) :args (@t26)) % 0.53/0.73 (step-pop @p239 :rule scope :premises (@p28)) % 0.53/0.73 (step @p29 :rule process_scope :premises (@p239) :args (@t25)) % 0.53/0.73 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.53/0.73 (step @p32 :rule implies_elim :premises (@p31)) % 0.53/0.73 (step @p33 :rule chain_m_resolution :premises (@p32 @p2) :args (@t27 @t28 @t29)) % 0.53/0.73 (step @p34 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 0.53/0.73 (step @p35 :rule instantiate :premises (@p12) :args ((@list @t11 @t32 @t31))) % 0.53/0.73 (step @p36 :rule instantiate :premises (@p12) :args ((@list tptp.identity @t32 @t31))) % 0.53/0.73 (step @p37 :rule instantiate :premises (@p12) :args ((@list @t30 tptp.identity @t17))) % 0.53/0.73 (step @p38 :rule instantiate :premises (@p12) :args ((@list tptp.identity @t33 @t18))) % 0.53/0.73 (step @p39 :rule instantiate :premises (@p12) :args ((@list @t36 tptp.identity @t34))) % 0.53/0.73 (step @p40 :rule instantiate :premises (@p12) :args ((@list @t38 tptp.identity @t37))) % 0.53/0.73 (step @p41 :rule instantiate :premises (@p12) :args ((@list @t41 tptp.identity @t40))) % 0.53/0.73 (step @p42 :rule instantiate :premises (@p12) :args ((@list @t42 tptp.identity tptp.a2))) % 0.53/0.73 (step @p43 :rule eq-symm :args (@t43 @t44)) % 0.53/0.73 (step @p44 :rule cong :premises (@p25 @p43) :args ((=> @t6 @t45))) % 0.53/0.73 (assume-push @p240 @t6) % 0.53/0.73 (step @p46 :rule instantiate :premises (@p2) :args ((@list tptp.identity @t32))) % 0.53/0.73 (step-pop @p241 :rule scope :premises (@p46)) % 0.53/0.73 (step @p47 :rule process_scope :premises (@p241) :args (@t45)) % 0.53/0.73 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.53/0.73 (step @p50 :rule implies_elim :premises (@p49)) % 0.53/0.73 (step @p51 :rule chain_m_resolution :premises (@p50 @p2) :args (@t46 @t28 @t29)) % 0.53/0.73 (step @p52 :rule instantiate :premises (@p12) :args ((@list @t8 @t11 @t32))) % 0.53/0.73 (assume-push @p242 @t47) % 0.53/0.73 (assume-push @p243 @t48) % 0.53/0.73 (assume-push @p244 @t49) % 0.53/0.73 (assume-push @p245 @t51) % 0.53/0.73 (assume-push @p246 @t52) % 0.53/0.73 (assume-push @p247 @t53) % 0.53/0.73 (assume-push @p248 @t54) % 0.53/0.73 (assume-push @p249 @t56) % 0.53/0.73 (assume-push @p250 @t57) % 0.53/0.73 (assume-push @p251 @t59) % 0.53/0.73 (assume-push @p252 @t60) % 0.53/0.73 (assume-push @p253 @t64) % 0.53/0.73 (assume-push @p254 @t65) % 0.53/0.73 (assume-push @p255 @t68) % 0.53/0.73 (assume-push @p256 @t27) % 0.53/0.73 (assume-push @p257 @t70) % 0.53/0.73 (assume-push @p258 @t72) % 0.53/0.73 (assume-push @p259 @t74) % 0.53/0.73 (assume-push @p260 @t77) % 0.53/0.73 (assume-push @p261 @t79) % 0.53/0.73 (assume-push @p262 @t83) % 0.53/0.73 (assume-push @p263 @t84) % 0.53/0.73 (assume-push @p264 @t90) % 0.53/0.73 (assume-push @p265 @t91) % 0.53/0.73 (assume-push @p266 @t46) % 0.53/0.73 (assume-push @p267 @t95) % 0.53/0.73 (step @p79 :rule symm :premises (@p8)) % 0.53/0.73 (step @p80 :rule refl :args (@t12)) % 0.53/0.73 (step @p81 :rule symm :premises (@p7)) % 0.53/0.73 (step @p82 :rule cong :premises (@p81 @p80) :args (@t14)) % 0.53/0.73 (step @p83 :rule symm :premises (@p16)) % 0.53/0.73 (step @p84 :rule refl :args (tptp.identity)) % 0.53/0.73 (step @p85 :rule cong :premises (@p14 @p84) :args (@t17)) % 0.53/0.73 (step @p86 :rule symm :premises (@p17)) % 0.53/0.73 (step @p87 :rule refl :args (@t11)) % 0.53/0.73 (step @p88 :rule symm :premises (@p14)) % 0.53/0.73 (step @p89 :rule cong :premises (@p88 @p87) :args (@t96)) % 0.53/0.73 (step @p90 :rule cong :premises (@p89 @p84) :args (@t97)) % 0.53/0.73 (step @p91 :rule cong :premises (@p84 @p90) :args ((tptp.divide tptp.identity @t97))) % 0.53/0.73 (step @p92 :rule symm :premises (@p90)) % 0.53/0.73 (step @p93 :rule cong :premises (@p15 @p84) :args (@t69)) % 0.53/0.73 (step @p94 :rule trans :premises (@p34 @p93 @p92)) % 0.53/0.73 (step @p95 :rule symm :premises (@p15)) % 0.53/0.73 (step @p96 :rule cong :premises (@p95 @p94) :args (@t55)) % 0.53/0.73 (step @p97 :rule cong :premises (@p9 @p87) :args (@t13)) % 0.53/0.73 (step @p98 :rule trans :premises (@p7 @p97 @p95 @p34 @p93 @p96)) % 0.53/0.73 (step @p99 :rule trans :premises (@p7 @p97 @p95)) % 0.53/0.73 (step @p100 :rule symm :premises (@p99)) % 0.53/0.73 (step @p101 :rule trans :premises (@p100 @p98 @p91)) % 0.53/0.73 (step @p102 :rule cong :premises (@p101 @p13) :args (@t11)) % 0.53/0.73 (step @p103 :rule trans :premises (@p102 @p86 @p85)) % 0.53/0.73 (step @p104 :rule refl :args (@t19)) % 0.53/0.73 (step @p105 :rule trans :premises (@p81 @p99)) % 0.53/0.73 (step @p106 :rule cong :premises (@p105 @p104) :args ((tptp.divide @t13 @t19))) % 0.53/0.73 (step @p107 :rule symm :premises (@p106)) % 0.53/0.73 (step @p28 :rule instantiate :premises (@p2) :args (@t26)) % 0.53/0.73 (step @p108 :rule symm :premises (@p9)) % 0.53/0.73 (step @p109 :rule cong :premises (@p80 @p108) :args ((tptp.divide @t12 @t11))) % 0.53/0.73 (step @p110 :rule symm :premises (@p18)) % 0.53/0.73 (step @p111 :rule symm :premises (@p19)) % 0.53/0.73 (step @p112 :rule cong :premises (@p108 @p84) :args (@t17)) % 0.53/0.73 (step @p113 :rule cong :premises (@p84 @p112) :args (@t33)) % 0.53/0.73 (step @p114 :rule symm :premises (@p85)) % 0.53/0.73 (step @p115 :rule cong :premises (@p84 @p114) :args (@t66)) % 0.53/0.73 (step @p116 :rule trans :premises (@p115 @p113)) % 0.53/0.73 (step @p117 :rule cong :premises (@p116 @p111) :args (@t67)) % 0.53/0.73 (step @p118 :rule cong :premises (@p83 @p84) :args (@t31)) % 0.53/0.73 (step @p119 :rule symm :premises (@p35)) % 0.53/0.73 (step @p120 :rule trans :premises (@p119 @p118 @p23 @p117 @p110)) % 0.53/0.73 (step @p121 :rule symm :premises (@p97)) % 0.53/0.73 (step @p122 :rule symm :premises (@p34)) % 0.53/0.73 (step @p123 :rule symm :premises (@p93)) % 0.53/0.73 (step @p124 :rule symm :premises (@p102)) % 0.53/0.73 (step @p125 :rule symm :premises (@p22)) % 0.53/0.73 (step @p126 :rule trans :premises (@p125 @p114 @p17 @p124 @p108)) % 0.53/0.73 (step @p127 :rule trans :premises (@p126 @p9)) % 0.53/0.73 (step @p128 :rule cong :premises (@p127 @p87) :args (@t36)) % 0.53/0.73 (step @p129 :rule cong :premises (@p128 @p84) :args (@t80)) % 0.53/0.73 (step @p130 :rule trans :premises (@p129 @p123 @p122)) % 0.53/0.73 (step @p131 :rule cong :premises (@p15 @p130) :args (@t81)) % 0.53/0.73 (step @p132 :rule trans :premises (@p131 @p123 @p122 @p15 @p121 @p81)) % 0.53/0.73 (step @p133 :rule trans :premises (@p132 @p99)) % 0.53/0.73 (step @p134 :rule cong :premises (@p133 @p120) :args (@t82)) % 0.53/0.73 (step 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cong :premises (@p84 @p165) :args (@t62)) % 0.53/0.73 (step @p167 :rule trans :premises (@p166 @p162 @p115)) % 0.53/0.73 (step @p168 :rule cong :premises (@p167 @p160) :args (@t63)) % 0.53/0.73 (step @p169 :rule trans :premises (@p21 @p168)) % 0.53/0.73 (step @p170 :rule refl :args (@t16)) % 0.53/0.73 (step @p171 :rule cong :premises (@p105 @p170) :args (@t39)) % 0.53/0.73 (step @p172 :rule trans :premises (@p171 @p169)) % 0.53/0.73 (step @p173 :rule cong :premises (@p172 @p84) :args (@t40)) % 0.53/0.73 (step @p174 :rule cong :premises (@p84 @p173) :args (@t85)) % 0.53/0.73 (step @p175 :rule cong :premises (@p174 @p159) :args (@t86)) % 0.53/0.73 (step @p176 :rule trans :premises (@p175 @p153 @p18 @p152 @p151 @p150 @p36)) % 0.53/0.73 (step @p177 :rule symm :premises (@p127)) % 0.53/0.73 (step @p178 :rule cong :premises (@p177 @p84) :args (@t17)) % 0.53/0.73 (step @p179 :rule trans :premises (@p9 @p102 @p86 @p178)) % 0.53/0.73 (step @p180 :rule trans :premises (@p108 @p179)) % 0.53/0.73 (step @p181 :rule cong :premises (@p180 @p84) :args (@t17)) % 0.53/0.73 (step @p182 :rule trans :premises (@p9 @p102 @p86 @p181)) % 0.53/0.73 (step @p183 :rule cong :premises (@p84 @p182) :args (@t98)) % 0.53/0.73 (step @p184 :rule symm :premises (@p162)) % 0.53/0.73 (step @p185 :rule symm :premises (@p115)) % 0.53/0.73 (step @p186 :rule trans :premises (@p185 @p184 @p183)) % 0.53/0.73 (step @p187 :rule cong :premises (@p158 @p84) :args (@t87)) % 0.53/0.73 (step @p188 :rule trans :premises (@p187 @p17 @p124 @p108)) % 0.53/0.73 (step @p189 :rule cong :premises (@p84 @p188) :args (@t88)) % 0.53/0.73 (step @p190 :rule trans :premises (@p189 @p162 @p115)) % 0.53/0.73 (step @p191 :rule trans :premises (@p190 @p186)) % 0.53/0.73 (step @p192 :rule cong :premises (@p191 @p176) :args (@t89)) % 0.53/0.73 (step @p193 :rule trans :premises (@p41 @p192 @p149)) % 0.53/0.74 (step @p194 :rule symm :premises (@p147)) % 0.53/0.74 (step @p195 :rule cong :premises (@p194 @p193) :args (@t85)) % 0.53/0.74 (step @p196 :rule trans :premises (@p195 @p148 @p51 @p143 @p28 @p107)) % 0.53/0.74 (step @p197 :rule symm :premises (@p195)) % 0.53/0.74 (step @p198 :rule symm :premises (@p148)) % 0.53/0.74 (step @p199 :rule trans :premises (@p198 @p197)) % 0.53/0.74 (step @p200 :rule trans :premises (@p199 @p196 @p106)) % 0.53/0.74 (step @p201 :rule cong :premises (@p200 @p103) :args ((tptp.divide @t44 @t11))) % 0.53/0.74 (step @p202 :rule symm :premises (@p199)) % 0.53/0.74 (step @p203 :rule cong :premises (@p202 @p158) :args (@t86)) % 0.53/0.74 (step @p204 :rule symm :premises (@p175)) % 0.53/0.74 (step @p205 :rule trans :premises (@p42 @p204 @p203 @p201 @p83 @p82 @p79)) % 0.53/0.74 (step-pop @p268 :rule scope :premises (@p205)) % 0.53/0.74 (step-pop @p269 :rule scope :premises (@p268)) % 0.53/0.74 (step-pop @p270 :rule scope :premises (@p269)) % 0.53/0.74 (step-pop @p271 :rule scope :premises (@p270)) % 0.53/0.74 (step-pop @p272 :rule scope :premises (@p271)) % 0.53/0.74 (step-pop @p273 :rule scope :premises (@p272)) % 0.53/0.74 (step-pop @p274 :rule scope :premises (@p273)) % 0.53/0.74 (step-pop @p275 :rule scope :premises (@p274)) % 0.53/0.74 (step-pop @p276 :rule scope :premises (@p275)) % 0.53/0.74 (step-pop @p277 :rule scope :premises (@p276)) % 0.53/0.74 (step-pop @p278 :rule scope :premises (@p277)) % 0.53/0.74 (step-pop @p279 :rule scope :premises (@p278)) % 0.53/0.74 (step-pop @p280 :rule scope :premises (@p279)) % 0.53/0.74 (step-pop @p281 :rule scope :premises (@p280)) % 0.53/0.74 (step-pop @p282 :rule scope :premises (@p281)) % 0.53/0.74 (step-pop @p283 :rule scope :premises (@p282)) % 0.53/0.74 (step-pop @p284 :rule scope :premises (@p283)) % 0.53/0.74 (step-pop @p285 :rule scope :premises (@p284)) % 0.53/0.74 (step-pop @p286 :rule scope :premises (@p285)) % 0.53/0.74 (step-pop @p287 :rule scope :premises (@p286)) % 0.53/0.74 (step-pop @p288 :rule scope :premises (@p287)) % 0.53/0.74 (step-pop @p289 :rule scope :premises (@p288)) % 0.53/0.74 (step-pop @p290 :rule scope :premises (@p289)) % 0.53/0.74 (step-pop @p291 :rule scope :premises (@p290)) % 0.53/0.74 (step-pop @p292 :rule scope :premises (@p291)) % 0.53/0.74 (step-pop @p293 :rule scope :premises (@p292)) % 0.53/0.74 (step @p206 :rule process_scope :premises (@p293) :args (@t99)) % 0.53/0.74 (step @p233 :rule implies_elim :premises (@p206)) % 0.53/0.74 (step @p234 :rule cnf_and_neg :args (@t100)) % 0.53/0.74 (step @p235 :rule resolution :premises (@p234 @p233) :args (true @t100)) % 0.53/0.74 (step @p236 :rule reordering :premises (@p235) :args ((or @t99 (not @t47) (not @t48) (not @t49) (not @t51) (not @t52) (not @t53) (not @t54) (not @t56) (not @t57) (not @t59) (not @t60) (not @t64) (not @t65) (not @t68) (not @t27) (not @t70) (not @t72) (not @t74) (not @t77) (not @t79) (not @t83) (not @t84) (not @t90) (not @t91) (not @t46) (not @t95)))) % 0.53/0.74 (step @p237 false :rule chain_m_resolution :premises (@p236 @p52 @p51 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p9 @p8 @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 false true) (@list @t95 @t46 @t91 @t90 @t84 @t83 @t79 @t77 @t74 @t72 @t70 @t27 @t68 @t65 @t64 @t60 @t59 @t57 @t56 @t54 @t53 @t52 @t51 @t49 @t48 @t47 @t99))) % 0.53/0.74 ) % 0.53/0.74 % SZS output end Proof % 0.53/0.74 % cvc5 exiting %------------------------------------------------------------------------------