%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP551-1 : 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 : n029.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 08:20:55 AM UTC 2026 % Result : Unsatisfiable 0.63s 0.84s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP551-1 : 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 : n029.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 01:16:32 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.84 % SZS status Unsatisfiable % 0.63/0.84 % SZS output start Proof % 0.63/0.85 ( % 0.63/0.85 (declare-sort $$unsorted 0) % 0.63/0.85 (declare-const tptp.a3 $$unsorted) % 0.63/0.85 (declare-const tptp.c3 $$unsorted) % 0.63/0.85 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.63/0.85 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.85 (declare-const tptp.b3 $$unsorted) % 0.63/0.85 (declare-const tptp.identity $$unsorted) % 0.63/0.85 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.85 (define @t1 () (@var "C" $$unsorted)) % 0.63/0.85 (define @t2 () (@var "B" $$unsorted)) % 0.63/0.85 (define @t3 () (@var "A" $$unsorted)) % 0.63/0.85 (define @t4 () (tptp.divide tptp.identity @t3)) % 0.63/0.85 (define @t5 () (tptp.divide @t4 (tptp.divide (tptp.divide (tptp.divide @t2 @t3) @t1) @t2))) % 0.63/0.85 (define @t6 () (@list @t3 @t2 @t1)) % 0.63/0.85 (define @t7 () (forall @t6 (= @t5 @t1))) % 0.63/0.85 (define @t8 () (forall (@list @t3 @t2) (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide tptp.identity @t2))))) % 0.63/0.85 (define @t9 () (@list @t3)) % 0.63/0.85 (define @t10 () (tptp.multiply tptp.b3 tptp.c3)) % 0.63/0.85 (define @t11 () (tptp.multiply tptp.a3 tptp.b3)) % 0.63/0.85 (define @t12 () (tptp.divide tptp.identity @t10)) % 0.63/0.85 (define @t13 () (tptp.divide tptp.identity tptp.c3)) % 0.63/0.85 (define @t14 () (tptp.divide (tptp.divide @t11 @t13) tptp.a3)) % 0.63/0.85 (define @t15 () (tptp.divide @t14 @t11)) % 0.63/0.85 (define @t16 () (tptp.divide tptp.identity @t13)) % 0.63/0.85 (define @t17 () (tptp.divide @t16 @t15)) % 0.63/0.85 (define @t18 () (tptp.divide @t17 @t12)) % 0.63/0.85 (define @t19 () (tptp.divide @t18 @t16)) % 0.63/0.85 (define @t20 () (tptp.divide (tptp.divide @t19 tptp.a3) @t18)) % 0.63/0.85 (define @t21 () (tptp.divide tptp.identity @t16)) % 0.63/0.85 (define @t22 () (tptp.divide @t21 @t20)) % 0.63/0.85 (define @t23 () (tptp.divide (tptp.divide @t12 tptp.identity) tptp.identity)) % 0.63/0.85 (define @t24 () (tptp.divide (tptp.divide @t12 @t23) tptp.identity)) % 0.63/0.85 (define @t25 () (tptp.divide tptp.identity @t15)) % 0.63/0.85 (define @t26 () (tptp.divide (tptp.divide @t25 @t19) tptp.identity)) % 0.63/0.85 (define @t27 () (tptp.divide (tptp.divide @t25 @t26) tptp.identity)) % 0.63/0.85 (define @t28 () (tptp.divide @t25 @t27)) % 0.63/0.85 (define @t29 () (tptp.divide @t28 tptp.identity)) % 0.63/0.85 (define @t30 () (tptp.divide @t13 tptp.identity)) % 0.63/0.85 (define @t31 () (tptp.divide @t30 tptp.identity)) % 0.63/0.85 (define @t32 () (tptp.divide @t13 @t31)) % 0.63/0.85 (define @t33 () (tptp.divide @t32 @t10)) % 0.63/0.85 (define @t34 () (tptp.divide tptp.identity tptp.a3)) % 0.63/0.85 (define @t35 () (tptp.divide tptp.identity tptp.b3)) % 0.63/0.85 (define @t36 () (tptp.divide (tptp.divide tptp.a3 @t35) @t13)) % 0.63/0.85 (define @t37 () (tptp.divide @t36 tptp.a3)) % 0.63/0.85 (define @t38 () (tptp.divide (tptp.divide @t37 tptp.identity) @t36)) % 0.63/0.85 (define @t39 () (tptp.divide @t34 @t38)) % 0.63/0.85 (define @t40 () (tptp.divide tptp.identity @t38)) % 0.63/0.85 (define @t41 () (tptp.divide (tptp.divide @t40 (tptp.divide (tptp.divide @t39 @t12) @t34)) tptp.identity)) % 0.63/0.85 (define @t42 () (tptp.divide @t39 tptp.identity)) % 0.63/0.85 (define @t43 () (tptp.divide tptp.identity tptp.identity)) % 0.63/0.85 (define @t44 () (tptp.divide @t32 tptp.identity)) % 0.63/0.85 (define @t45 () (tptp.divide @t13 @t13)) % 0.63/0.85 (define @t46 () (tptp.divide @t45 tptp.identity)) % 0.63/0.85 (define @t47 () (tptp.divide tptp.identity @t35)) % 0.63/0.85 (define @t48 () (tptp.divide @t47 @t37)) % 0.63/0.85 (define @t49 () (tptp.divide @t48 tptp.identity)) % 0.63/0.85 (define @t50 () (tptp.divide @t47 @t49)) % 0.63/0.85 (define @t51 () (tptp.divide @t50 tptp.identity)) % 0.63/0.85 (define @t52 () (tptp.divide (tptp.divide @t47 @t51) tptp.identity)) % 0.63/0.85 (define @t53 () (tptp.divide tptp.identity @t31)) % 0.63/0.85 (define @t54 () (tptp.divide (tptp.divide @t25 (tptp.divide (tptp.divide @t17 @t35) @t16)) tptp.identity)) % 0.63/0.85 (define @t55 () (tptp.divide @t32 @t35)) % 0.63/0.85 (define @t56 () (tptp.divide @t55 @t13)) % 0.63/0.85 (define @t57 () (tptp.divide @t53 @t56)) % 0.63/0.85 (define @t58 () (tptp.divide @t57 tptp.identity)) % 0.63/0.85 (define @t59 () (tptp.divide @t39 @t31)) % 0.63/0.85 (define @t60 () (tptp.multiply @t55 tptp.c3)) % 0.63/0.85 (define @t61 () (= @t60 @t56)) % 0.63/0.85 (define @t62 () (@list @t55 tptp.c3)) % 0.63/0.85 (define @t63 () (@list false)) % 0.63/0.85 (define @t64 () (@list @t8)) % 0.63/0.85 (define @t65 () (tptp.divide tptp.identity @t51)) % 0.63/0.85 (define @t66 () (tptp.divide tptp.identity @t37)) % 0.63/0.85 (define @t67 () (tptp.divide @t49 @t47)) % 0.63/0.85 (define @t68 () (tptp.divide (tptp.divide @t66 @t67) tptp.identity)) % 0.63/0.85 (define @t69 () (tptp.divide @t49 tptp.identity)) % 0.63/0.85 (define @t70 () (tptp.divide @t52 @t47)) % 0.63/0.85 (define @t71 () (tptp.divide (tptp.divide @t12 @t13) tptp.identity)) % 0.63/0.85 (define @t72 () (tptp.divide (tptp.divide @t12 @t71) tptp.identity)) % 0.63/0.85 (define @t73 () (tptp.divide @t33 @t13)) % 0.63/0.85 (define @t74 () (tptp.divide (tptp.divide @t53 @t73) tptp.identity)) % 0.63/0.85 (define @t75 () (tptp.divide @t16 @t74)) % 0.63/0.85 (define @t76 () (tptp.divide @t75 tptp.identity)) % 0.63/0.85 (define @t77 () (tptp.divide (tptp.divide @t53 @t74) tptp.identity)) % 0.63/0.85 (define @t78 () (tptp.divide @t39 @t13)) % 0.63/0.85 (define @t79 () (tptp.divide @t22 @t35)) % 0.63/0.85 (define @t80 () (tptp.divide @t79 @t21)) % 0.63/0.85 (define @t81 () (tptp.divide tptp.identity @t54)) % 0.63/0.85 (define @t82 () (tptp.divide (tptp.divide (tptp.divide @t25 @t54) @t34) @t25)) % 0.63/0.85 (define @t83 () (tptp.divide @t32 tptp.c3)) % 0.63/0.85 (define @t84 () (tptp.multiply @t83 tptp.c3)) % 0.63/0.85 (define @t85 () (tptp.divide @t83 @t13)) % 0.63/0.85 (define @t86 () (= @t84 @t85)) % 0.63/0.85 (define @t87 () (tptp.divide @t17 tptp.identity)) % 0.63/0.85 (define @t88 () (tptp.divide (tptp.divide @t32 @t15) @t13)) % 0.63/0.85 (define @t89 () (tptp.divide (tptp.divide @t53 @t88) tptp.identity)) % 0.63/0.85 (define @t90 () (tptp.divide @t16 @t87)) % 0.63/0.85 (define @t91 () (tptp.divide @t25 @t13)) % 0.63/0.85 (define @t92 () (tptp.divide @t91 tptp.identity)) % 0.63/0.85 (define @t93 () (tptp.divide (tptp.divide @t53 (tptp.divide (tptp.divide @t32 tptp.a3) @t13)) tptp.identity)) % 0.63/0.85 (define @t94 () (tptp.divide @t78 @t34)) % 0.63/0.85 (define @t95 () (tptp.divide @t87 @t94)) % 0.63/0.85 (define @t96 () (tptp.divide @t95 @t17)) % 0.63/0.85 (define @t97 () (tptp.divide @t94 @t80)) % 0.63/0.85 (define @t98 () (tptp.divide @t97 @t78)) % 0.63/0.85 (define @t99 () (tptp.divide tptp.identity @t34)) % 0.63/0.85 (define @t100 () (tptp.divide @t99 @t98)) % 0.63/0.85 (define @t101 () (= @t80 @t100)) % 0.63/0.85 (define @t102 () (forall @t6 (= @t1 @t5))) % 0.63/0.85 (assume @p1 @t7) % 0.63/0.85 (assume @p2 @t8) % 0.63/0.85 (assume @p3 (forall @t9 (= (tptp.inverse @t3) @t4))) % 0.63/0.85 (assume @p4 (forall @t9 (= tptp.identity (tptp.divide @t3 @t3)))) % 0.63/0.85 (assume @p5 (not (= (tptp.multiply @t11 tptp.c3) (tptp.multiply tptp.a3 @t10)))) % 0.63/0.85 (step @p6 :rule eq-symm :args (@t5 @t1)) % 0.63/0.85 (step @p7 :rule cong :premises (@p6) :args (@t7)) % 0.63/0.85 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.63/0.85 (step @p9 :rule false_intro :premises (@p5)) % 0.63/0.85 (step @p10 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t10))) % 0.63/0.85 (step @p11 :rule symm :premises (@p10)) % 0.63/0.85 (step @p12 :rule refl :args (@t12)) % 0.63/0.85 (step @p13 :rule instantiate :premises (@p8) :args ((@list @t16 @t18 tptp.a3))) % 0.63/0.85 (step @p14 :rule symm :premises (@p13)) % 0.63/0.85 (step @p15 :rule cong :premises (@p14 @p12) :args ((tptp.divide @t22 @t12))) % 0.63/0.85 (step @p16 :rule instantiate :premises (@p8) :args ((@list @t15 @t16 @t12))) % 0.63/0.85 (step @p17 :rule symm :premises (@p16)) % 0.63/0.85 (step @p18 :rule instantiate :premises (@p8) :args ((@list @t15 tptp.identity @t19))) % 0.63/0.85 (step @p19 :rule symm :premises (@p18)) % 0.63/0.85 (step @p20 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 0.63/0.85 (step @p21 :rule symm :premises (@p20)) % 0.63/0.85 (step @p22 :rule refl :args (tptp.identity)) % 0.63/0.85 (step @p23 :rule instantiate :premises (@p8) :args ((@list @t10 tptp.identity tptp.identity))) % 0.63/0.85 (step @p24 :rule symm :premises (@p23)) % 0.63/0.85 (step @p25 :rule cong :premises (@p24 @p22) :args (@t24)) % 0.63/0.85 (step @p26 :rule trans :premises (@p25 @p21)) % 0.63/0.85 (step @p27 :rule cong :premises (@p16 @p26) :args ((tptp.divide @t12 @t24))) % 0.63/0.85 (step @p28 :rule instantiate :premises (@p8) :args ((@list @t10 tptp.identity @t23))) % 0.63/0.85 (step @p29 :rule cong :premises (@p17 @p22) :args (@t26)) % 0.63/0.85 (step @p30 :rule instantiate :premises (@p8) :args ((@list @t15 tptp.identity @t26))) % 0.63/0.85 (step @p31 :rule symm :premises (@p30)) % 0.63/0.85 (step @p32 :rule trans :premises (@p31 @p29)) % 0.63/0.85 (step @p33 :rule cong :premises (@p32 @p22) :args (@t29)) % 0.63/0.85 (step @p34 :rule trans :premises (@p33 @p28 @p27)) % 0.63/0.85 (step @p35 :rule refl :args (@t25)) % 0.63/0.85 (step @p36 :rule cong :premises (@p35 @p34) :args ((tptp.divide @t25 @t29))) % 0.63/0.85 (step @p37 :rule instantiate :premises (@p8) :args ((@list @t15 tptp.identity @t27))) % 0.63/0.85 (step @p38 :rule trans :premises (@p37 @p36 @p19)) % 0.63/0.85 (step @p39 :rule cong :premises (@p35 @p38) :args (@t28)) % 0.63/0.85 (step @p40 :rule refl :args (@t10)) % 0.63/0.85 (step @p41 :rule instantiate :premises (@p8) :args ((@list tptp.c3 tptp.identity tptp.identity))) % 0.63/0.85 (step @p42 :rule symm :premises (@p41)) % 0.63/0.85 (step @p43 :rule cong :premises (@p42 @p40) :args (@t33)) % 0.63/0.85 (step @p44 :rule trans :premises (@p43 @p16)) % 0.63/0.85 (step @p45 :rule symm :premises (@p43)) % 0.63/0.85 (step @p46 :rule instantiate :premises (@p8) :args ((@list @t38 @t34 @t12))) % 0.63/0.85 (step @p47 :rule symm :premises (@p46)) % 0.63/0.85 (step @p48 :rule trans :premises (@p47 @p45)) % 0.63/0.85 (step @p49 :rule trans :premises (@p48 @p44)) % 0.63/0.85 (step @p50 :rule cong :premises (@p49 @p22) :args (@t41)) % 0.63/0.85 (step @p51 :rule trans :premises (@p50 @p30 @p39 @p17)) % 0.63/0.85 (step @p52 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.a3))) % 0.63/0.85 (step @p53 :rule symm :premises (@p52)) % 0.63/0.85 (step @p54 :rule instantiate :premises (@p8) :args ((@list tptp.a3 @t36 tptp.identity))) % 0.63/0.85 (step @p55 :rule symm :premises (@p54)) % 0.63/0.85 (step @p56 :rule cong :premises (@p55 @p22) :args (@t42)) % 0.63/0.85 (step @p57 :rule trans :premises (@p56 @p21)) % 0.63/0.85 (step @p58 :rule refl :args (tptp.a3)) % 0.63/0.85 (step @p59 :rule cong :premises (@p20 @p58) :args (@t34)) % 0.63/0.85 (step @p60 :rule cong :premises (@p59 @p57) :args ((tptp.divide @t34 @t42))) % 0.63/0.85 (step @p61 :rule instantiate :premises (@p8) :args ((@list tptp.a3 tptp.identity @t38))) % 0.63/0.85 (step @p62 :rule trans :premises (@p61 @p60)) % 0.63/0.85 (step @p63 :rule cong :premises (@p20 @p62) :args (@t40)) % 0.63/0.85 (step @p64 :rule refl :args (@t38)) % 0.63/0.85 (step @p65 :rule cong :premises (@p21 @p64) :args ((tptp.divide @t43 @t38))) % 0.63/0.85 (step @p66 :rule trans :premises (@p65 @p63 @p53)) % 0.63/0.85 (step @p67 :rule symm :premises (@p65)) % 0.63/0.85 (step @p68 :rule trans :premises (@p67 @p66 @p13)) % 0.63/0.85 (step @p69 :rule cong :premises (@p68 @p51) :args ((tptp.divide @t40 @t41))) % 0.63/0.85 (step @p70 :rule symm :premises (@p50)) % 0.63/0.85 (step @p71 :rule cong :premises (@p21 @p40) :args ((tptp.divide @t43 @t10))) % 0.63/0.85 (step @p72 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.c3))) % 0.63/0.85 (step @p73 :rule symm :premises (@p72)) % 0.63/0.85 (step @p74 :rule refl :args (tptp.c3)) % 0.63/0.85 (step @p75 :rule cong :premises (@p20 @p74) :args (@t13)) % 0.63/0.85 (step @p76 :rule cong :premises (@p75 @p22) :args (@t30)) % 0.63/0.85 (step @p77 :rule cong :premises (@p41 @p22) :args (@t43)) % 0.63/0.85 (step @p78 :rule trans :premises (@p20 @p77)) % 0.63/0.85 (step @p79 :rule symm :premises (@p78)) % 0.63/0.85 (step @p80 :rule refl :args (@t13)) % 0.63/0.85 (step @p81 :rule cong :premises (@p80 @p79) :args ((tptp.divide @t13 @t44))) % 0.63/0.85 (step @p82 :rule instantiate :premises (@p4) :args ((@list @t13))) % 0.63/0.85 (step @p83 :rule symm :premises (@p82)) % 0.63/0.85 (step @p84 :rule cong :premises (@p83 @p22) :args (@t46)) % 0.63/0.85 (step @p85 :rule trans :premises (@p84 @p77)) % 0.63/0.85 (step @p86 :rule cong :premises (@p80 @p85) :args ((tptp.divide @t13 @t46))) % 0.63/0.85 (step @p87 :rule instantiate :premises (@p8) :args ((@list tptp.c3 tptp.identity @t13))) % 0.63/0.85 (step @p88 :rule trans :premises (@p87 @p86 @p81 @p76)) % 0.63/0.85 (step @p89 :rule cong :premises (@p20 @p88) :args (@t16)) % 0.63/0.85 (step @p90 :rule symm :premises (@p87)) % 0.63/0.85 (step @p91 :rule symm :premises (@p86)) % 0.63/0.85 (step @p92 :rule instantiate :premises (@p8) :args ((@list tptp.c3 tptp.identity @t31))) % 0.63/0.85 (step @p93 :rule instantiate :premises (@p8) :args ((@list @t35 tptp.a3 @t13))) % 0.63/0.85 (step @p94 :rule symm :premises (@p93)) % 0.63/0.85 (step @p95 :rule cong :premises (@p94 @p22) :args (@t49)) % 0.63/0.85 (step @p96 :rule instantiate :premises (@p8) :args ((@list @t35 tptp.identity @t49))) % 0.63/0.85 (step @p97 :rule symm :premises (@p96)) % 0.63/0.85 (step @p98 :rule trans :premises (@p97 @p95)) % 0.63/0.85 (step @p99 :rule cong :premises (@p98 @p22) :args (@t52)) % 0.63/0.85 (step @p100 :rule trans :premises (@p99 @p92 @p91 @p90)) % 0.63/0.85 (step @p101 :rule cong :premises (@p22 @p100) :args ((tptp.divide tptp.identity @t52))) % 0.63/0.85 (step @p102 :rule symm :premises (@p99)) % 0.63/0.85 (step @p103 :rule cong :premises (@p22 @p102) :args (@t53)) % 0.63/0.85 (step @p104 :rule trans :premises (@p103 @p101 @p89 @p73)) % 0.63/0.85 (step @p105 :rule refl :args (tptp.b3)) % 0.63/0.85 (step @p106 :rule cong :premises (@p105 @p104) :args ((tptp.multiply tptp.b3 @t53))) % 0.63/0.85 (step @p107 :rule refl :args (@t53)) % 0.63/0.85 (step @p108 :rule instantiate :premises (@p8) :args ((@list @t44 tptp.identity tptp.b3))) % 0.63/0.85 (step @p109 :rule symm :premises (@p108)) % 0.63/0.85 (step @p110 :rule cong :premises (@p22 @p78) :args (@t43)) % 0.63/0.85 (step @p111 :rule trans :premises (@p20 @p110)) % 0.63/0.85 (step @p112 :rule cong :premises (@p111 @p105) :args (@t35)) % 0.63/0.85 (step @p113 :rule cong :premises (@p42 @p105) :args ((tptp.divide @t32 tptp.b3))) % 0.63/0.85 (step @p114 :rule trans :premises (@p113 @p112)) % 0.63/0.85 (step @p115 :rule symm :premises (@p113)) % 0.63/0.85 (step @p116 :rule instantiate :premises (@p8) :args ((@list @t15 @t16 @t35))) % 0.63/0.85 (step @p117 :rule symm :premises (@p116)) % 0.63/0.85 (step @p118 :rule trans :premises (@p117 @p115)) % 0.63/0.85 (step @p119 :rule trans :premises (@p118 @p114)) % 0.63/0.85 (step @p120 :rule cong :premises (@p119 @p22) :args (@t54)) % 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@p322 @p320)) % 0.63/0.85 (step @p348 :rule symm :premises (@p132)) % 0.63/0.85 (step @p349 :rule instantiate :premises (@p8) :args ((@list @t12 tptp.a3 @t16))) % 0.63/0.85 (step @p350 :rule symm :premises (@p349)) % 0.63/0.85 (step @p351 :rule trans :premises (@p350 @p348 @p131)) % 0.63/0.85 (step @p352 :rule cong :premises (@p351 @p347) :args ((tptp.divide (tptp.divide (tptp.divide tptp.identity @t12) (tptp.divide (tptp.divide (tptp.divide tptp.a3 @t12) @t16) tptp.a3)) @t15))) % 0.63/0.85 (step @p353 :rule cong :premises (@p349 @p324) :args (@t17)) % 0.63/0.85 (step @p354 :rule trans :premises (@p353 @p352 @p319 @p308 @p306)) % 0.63/0.85 (step @p355 :rule instantiate :premises (@p8) :args ((@list @t38 @t34 @t13))) % 0.63/0.85 (step @p356 :rule symm :premises (@p355)) % 0.63/0.85 (step @p357 :rule refl :args (@t94)) % 0.63/0.85 (step @p358 :rule symm :premises (@p66)) % 0.63/0.85 (step @p359 :rule symm :premises (@p353)) % 0.63/0.85 (step @p360 :rule symm :premises (@p352)) % 0.63/0.85 (step @p361 :rule trans :premises (@p307 @p338 @p360 @p359 @p304)) % 0.63/0.85 (step @p362 :rule trans :premises (@p361 @p358 @p65)) % 0.63/0.85 (step @p363 :rule cong :premises (@p362 @p357) :args (@t95)) % 0.63/0.85 (step @p364 :rule trans :premises (@p363 @p356 @p93)) % 0.63/0.85 (step @p365 :rule trans :premises (@p364 @p94)) % 0.63/0.85 (step @p366 :rule cong :premises (@p365 @p354) :args (@t96)) % 0.63/0.85 (step @p367 :rule trans :premises (@p366 @p273)) % 0.63/0.85 (step @p368 :rule cong :premises (@p21 @p367) :args ((tptp.divide @t43 @t96))) % 0.63/0.85 (step @p369 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t17 @t94))) % 0.63/0.85 (step @p370 :rule refl :args (@t34)) % 0.63/0.85 (step @p371 :rule symm :premises (@p259)) % 0.63/0.85 (step @p372 :rule trans :premises (@p132 @p371)) % 0.63/0.85 (step @p373 :rule cong :premises (@p372 @p370) :args ((tptp.divide @t59 @t34))) % 0.63/0.85 (step @p374 :rule cong :premises (@p348 @p370) :args ((tptp.divide @t16 @t34))) % 0.63/0.85 (step @p375 :rule trans :premises (@p374 @p373 @p369 @p368 @p271)) % 0.63/0.85 (step @p376 :rule symm :premises (@p374)) % 0.63/0.85 (step @p377 :rule symm :premises (@p373)) % 0.63/0.85 (step @p378 :rule trans :premises (@p377 @p376)) % 0.63/0.85 (step @p379 :rule trans :premises (@p378 @p375 @p270)) % 0.63/0.85 (step @p380 :rule cong :premises (@p379 @p265) :args (@t97)) % 0.63/0.85 (step @p381 :rule trans :premises (@p380 @p264 @p115)) % 0.63/0.85 (step @p382 :rule trans :premises (@p381 @p262 @p261)) % 0.63/0.85 (step @p383 :rule cong :premises (@p382 @p260) :args (@t98)) % 0.63/0.85 (step @p384 :rule trans :premises (@p383 @p256 @p197 @p195 @p194 @p189 @p70)) % 0.63/0.85 (step @p385 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t38))) % 0.63/0.85 (step @p386 :rule symm :premises (@p385)) % 0.63/0.85 (step @p387 :rule trans :premises (@p304 @p358)) % 0.63/0.85 (step @p388 :rule cong :premises (@p387 @p21) :args ((tptp.divide @t17 @t43))) % 0.63/0.85 (step @p389 :rule refl :args (@t17)) % 0.63/0.85 (step @p390 :rule cong :premises (@p389 @p20) :args (@t87)) % 0.63/0.85 (step @p391 :rule trans :premises (@p323 @p319 @p308 @p390 @p388)) % 0.63/0.85 (step @p392 :rule cong :premises (@p20 @p391) :args ((tptp.divide tptp.identity @t88))) % 0.63/0.85 (step @p393 :rule trans :premises (@p303 @p353 @p352 @p337)) % 0.63/0.85 (step @p394 :rule cong :premises (@p21 @p393) :args ((tptp.divide @t43 tptp.a3))) % 0.63/0.85 (step @p395 :rule trans :premises (@p59 @p394 @p392 @p386 @p61 @p60)) % 0.63/0.85 (step @p396 :rule cong :premises (@p56 @p395) :args ((tptp.divide @t42 @t34))) % 0.63/0.85 (step @p397 :rule symm :premises (@p57)) % 0.63/0.85 (step @p398 :rule cong :premises (@p397 @p370) :args (@t99)) % 0.63/0.85 (step @p399 :rule trans :premises (@p398 @p396 @p53 @p303 @p353 @p352 @p319 @p308)) % 0.63/0.85 (step @p400 :rule trans :premises (@p399 @p361 @p358 @p65)) % 0.63/0.85 (step @p401 :rule cong :premises (@p400 @p384) :args (@t100)) % 0.63/0.85 (step @p402 :rule trans :premises (@p401 @p69 @p15 @p11)) % 0.63/0.85 (step @p403 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.c3))) % 0.63/0.85 (step @p404 :rule symm :premises (@p403)) % 0.63/0.85 (step @p405 :rule cong :premises (@p14 @p137) :args (@t79)) % 0.63/0.85 (step @p406 :rule cong :premises (@p405 @p300) :args (@t80)) % 0.63/0.85 (step @p407 :rule trans :premises (@p406 @p149 @p404)) % 0.63/0.85 (step @p408 :rule cong :premises (@p407 @p402) :args (@t101)) % 0.63/0.85 (step @p409 :rule trans :premises (@p408 @p9)) % 0.63/0.85 (step @p410 :rule false_elim :premises (@p409)) % 0.63/0.85 (assume-push @p421 @t102) % 0.63/0.85 (step @p412 :rule instantiate :premises (@p8) :args ((@list @t34 @t78 @t80))) % 0.63/0.85 (step-pop @p422 :rule scope :premises (@p412)) % 0.63/0.85 (step @p413 :rule process_scope :premises (@p422) :args (@t101)) % 0.63/0.85 (step @p415 :rule implies_elim :premises (@p413)) % 0.63/0.85 (step @p416 false :rule chain_m_resolution :premises (@p415 @p410 @p8) :args (false (@list true false) (@list @t101 @t102))) % 0.63/0.85 ) % 0.63/0.86 % SZS output end Proof % 0.63/0.86 % cvc5 exiting %------------------------------------------------------------------------------