%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP767-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:21:28 AM UTC 2026 % Result : Unsatisfiable 3.21s 3.45s % Output : Proof 3.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP767-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 02:03:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.21/3.45 % SZS status Unsatisfiable % 3.21/3.45 % SZS output start Proof % 3.21/3.45 ( % 3.21/3.45 (declare-sort $$unsorted 0) % 3.21/3.45 (declare-const tptp.x0 $$unsorted) % 3.21/3.45 (declare-const tptp.t (-> $$unsorted $$unsorted $$unsorted)) % 3.21/3.45 (declare-const tptp.eta (-> $$unsorted $$unsorted)) % 3.21/3.45 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 3.21/3.45 (declare-const tptp.l (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.21/3.45 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 3.21/3.45 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted)) % 3.21/3.45 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 3.21/3.45 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted)) % 3.21/3.45 (declare-const tptp.x1 $$unsorted) % 3.21/3.45 (declare-const tptp.one $$unsorted) % 3.21/3.45 (define @t1 () (@var "A" $$unsorted)) % 3.21/3.45 (define @t2 () (tptp.product @t1 tptp.one)) % 3.21/3.45 (define @t3 () (@list @t1)) % 3.21/3.45 (define @t4 () (forall @t3 (= @t2 @t1))) % 3.21/3.45 (define @t5 () (@var "B" $$unsorted)) % 3.21/3.45 (define @t6 () (tptp.product @t1 (tptp.difference @t1 @t5))) % 3.21/3.45 (define @t7 () (@list @t1 @t5)) % 3.21/3.45 (define @t8 () (forall @t7 (= @t6 @t5))) % 3.21/3.45 (define @t9 () (tptp.product @t1 @t5)) % 3.21/3.45 (define @t10 () (tptp.difference @t1 @t9)) % 3.21/3.45 (define @t11 () (forall @t7 (= @t10 @t5))) % 3.21/3.45 (define @t12 () (tptp.quotient @t9 @t5)) % 3.21/3.45 (define @t13 () (forall @t7 (= @t12 @t1))) % 3.21/3.45 (define @t14 () (tptp.product (tptp.quotient @t1 @t5) @t5)) % 3.21/3.45 (define @t15 () (forall @t7 (= @t14 @t1))) % 3.21/3.45 (define @t16 () (@var "C" $$unsorted)) % 3.21/3.45 (define @t17 () (@list @t1 @t5 @t16)) % 3.21/3.45 (define @t18 () (forall @t17 (= (tptp.difference @t1 (tptp.product @t9 @t16)) (tptp.quotient (tptp.product @t5 (tptp.product @t16 @t1)) @t1)))) % 3.21/3.45 (define @t19 () (tptp.product @t5 @t16)) % 3.21/3.45 (define @t20 () (tptp.difference @t9 (tptp.product @t1 @t19))) % 3.21/3.45 (define @t21 () (tptp.i @t1)) % 3.21/3.45 (define @t22 () (tptp.j @t1)) % 3.21/3.45 (define @t23 () (tptp.product @t21 @t1)) % 3.21/3.45 (define @t24 () (tptp.eta @t1)) % 3.21/3.45 (define @t25 () (forall @t3 (= @t24 @t23))) % 3.21/3.45 (define @t26 () (tptp.product @t24 @t5)) % 3.21/3.45 (define @t27 () (forall @t7 (= (tptp.product @t1 @t26) (tptp.product (tptp.j @t22) @t5)))) % 3.21/3.45 (define @t28 () (tptp.j tptp.x1)) % 3.21/3.45 (define @t29 () (tptp.product tptp.x1 tptp.x0)) % 3.21/3.45 (define @t30 () (tptp.j @t29)) % 3.21/3.45 (define @t31 () (tptp.j tptp.x0)) % 3.21/3.45 (define @t32 () (tptp.j @t31)) % 3.21/3.45 (define @t33 () (tptp.product @t32 @t30)) % 3.21/3.45 (define @t34 () (= @t33 @t28)) % 3.21/3.45 (define @t35 () (@list tptp.x0)) % 3.21/3.45 (define @t36 () (@list tptp.x1)) % 3.21/3.45 (define @t37 () (@list @t31)) % 3.21/3.45 (define @t38 () (@list @t29)) % 3.21/3.45 (define @t39 () (tptp.eta tptp.x0)) % 3.21/3.45 (define @t40 () (tptp.product @t39 @t30)) % 3.21/3.45 (define @t41 () (tptp.product tptp.x0 @t40)) % 3.21/3.45 (define @t42 () (= @t41 @t33)) % 3.21/3.45 (define @t43 () (= @t33 @t41)) % 3.21/3.45 (define @t44 () (@list false)) % 3.21/3.45 (define @t45 () (tptp.i tptp.x0)) % 3.21/3.45 (define @t46 () (tptp.i @t31)) % 3.21/3.45 (define @t47 () (tptp.quotient tptp.one tptp.x0)) % 3.21/3.45 (define @t48 () (tptp.quotient tptp.one @t31)) % 3.21/3.45 (define @t49 () (tptp.i @t29)) % 3.21/3.45 (define @t50 () (tptp.quotient (tptp.product tptp.x0 (tptp.product @t49 tptp.x1)) tptp.x1)) % 3.21/3.45 (define @t51 () (tptp.product @t29 @t49)) % 3.21/3.45 (define @t52 () (tptp.difference tptp.x1 @t51)) % 3.21/3.45 (define @t53 () (= @t52 @t50)) % 3.21/3.45 (define @t54 () (= @t50 @t52)) % 3.21/3.45 (define @t55 () (tptp.difference @t29 tptp.one)) % 3.21/3.45 (define @t56 () (@list @t48)) % 3.21/3.45 (define @t57 () (tptp.quotient @t50 @t49)) % 3.21/3.45 (define @t58 () (tptp.product @t57 @t49)) % 3.21/3.45 (define @t59 () (tptp.product tptp.x1 @t58)) % 3.21/3.45 (define @t60 () (tptp.quotient @t59 @t49)) % 3.21/3.45 (define @t61 () (tptp.product @t29 @t55)) % 3.21/3.45 (define @t62 () (tptp.product tptp.x1 @t61)) % 3.21/3.45 (define @t63 () (tptp.product @t41 tptp.x1)) % 3.21/3.45 (define @t64 () (= @t31 @t47)) % 3.21/3.45 (define @t65 () (= @t28 (tptp.quotient tptp.one tptp.x1))) % 3.21/3.45 (define @t66 () (= @t32 @t48)) % 3.21/3.45 (define @t67 () (tptp.quotient tptp.one @t29)) % 3.21/3.45 (define @t68 () (= @t30 @t67)) % 3.21/3.45 (define @t69 () (tptp.product tptp.x0 @t31)) % 3.21/3.45 (define @t70 () (tptp.product @t45 tptp.x0)) % 3.21/3.45 (define @t71 () (= @t70 @t69)) % 3.21/3.45 (define @t72 () (tptp.product @t46 @t31)) % 3.21/3.45 (define @t73 () (= @t72 (tptp.product @t31 @t32))) % 3.21/3.45 (define @t74 () (= @t45 (tptp.quotient @t70 tptp.x0))) % 3.21/3.45 (define @t75 () (tptp.product @t47 tptp.x0)) % 3.21/3.45 (define @t76 () (= tptp.one @t75)) % 3.21/3.45 (define @t77 () (tptp.product @t48 @t31)) % 3.21/3.45 (define @t78 () (= tptp.one @t77)) % 3.21/3.45 (define @t79 () (= tptp.one (tptp.product @t67 @t29))) % 3.21/3.45 (define @t80 () (tptp.difference tptp.x0 tptp.one)) % 3.21/3.45 (define @t81 () (= @t45 @t80)) % 3.21/3.45 (define @t82 () (tptp.difference @t31 tptp.one)) % 3.21/3.45 (define @t83 () (= @t46 @t82)) % 3.21/3.45 (define @t84 () (= @t49 @t55)) % 3.21/3.45 (define @t85 () (= @t70 @t39)) % 3.21/3.45 (define @t86 () (tptp.eta @t31)) % 3.21/3.45 (define @t87 () (= @t72 @t86)) % 3.21/3.45 (define @t88 () (tptp.quotient @t69 tptp.x0)) % 3.21/3.45 (define @t89 () (= (tptp.t tptp.x0 @t31) @t88)) % 3.21/3.45 (define @t90 () (tptp.t @t46 @t31)) % 3.21/3.45 (define @t91 () (= @t90 (tptp.quotient @t72 @t46))) % 3.21/3.45 (define @t92 () (= tptp.one (tptp.product tptp.x0 @t80))) % 3.21/3.45 (define @t93 () (tptp.product tptp.x1 (tptp.difference tptp.x1 tptp.one))) % 3.21/3.45 (define @t94 () (= tptp.one @t93)) % 3.21/3.45 (define @t95 () (tptp.product @t31 @t82)) % 3.21/3.45 (define @t96 () (= tptp.one @t95)) % 3.21/3.45 (define @t97 () (= tptp.one @t61)) % 3.21/3.45 (define @t98 () (= tptp.x0 (tptp.difference @t47 @t75))) % 3.21/3.45 (define @t99 () (= @t31 (tptp.difference @t48 @t77))) % 3.21/3.45 (define @t100 () (= @t50 @t58)) % 3.21/3.45 (define @t101 () (= @t29 (tptp.quotient @t61 @t55))) % 3.21/3.45 (define @t102 () (tptp.difference @t48 tptp.one)) % 3.21/3.45 (define @t103 () (tptp.i @t48)) % 3.21/3.45 (define @t104 () (= @t103 @t102)) % 3.21/3.45 (define @t105 () (tptp.product @t31 tptp.x0)) % 3.21/3.45 (define @t106 () (tptp.i @t46)) % 3.21/3.45 (define @t107 () (tptp.product @t106 tptp.x0)) % 3.21/3.45 (define @t108 () (= @t107 (tptp.product @t86 @t105))) % 3.21/3.45 (define @t109 () (= tptp.x1 (tptp.product tptp.x1 tptp.one))) % 3.21/3.45 (define @t110 () (tptp.product (tptp.quotient @t60 @t57) @t57)) % 3.21/3.45 (define @t111 () (= @t60 @t110)) % 3.21/3.45 (define @t112 () (tptp.product (tptp.quotient @t62 @t55) @t55)) % 3.21/3.45 (define @t113 () (= @t62 @t112)) % 3.21/3.45 (define @t114 () (tptp.product @t40 @t29)) % 3.21/3.45 (define @t115 () (tptp.quotient @t114 tptp.x0)) % 3.21/3.45 (define @t116 () (tptp.difference tptp.x0 @t63)) % 3.21/3.45 (define @t117 () (= @t116 @t115)) % 3.21/3.45 (define @t118 () (tptp.eta @t48)) % 3.21/3.45 (define @t119 () (tptp.product @t103 @t48)) % 3.21/3.45 (define @t120 () (= @t119 @t118)) % 3.21/3.45 (define @t121 () (tptp.product tptp.x0 @t116)) % 3.21/3.45 (define @t122 () (= @t63 @t121)) % 3.21/3.45 (define @t123 () (tptp.product @t33 tptp.x1)) % 3.21/3.45 (define @t124 () (tptp.quotient @t123 tptp.x1)) % 3.21/3.45 (define @t125 () (= @t33 @t124)) % 3.21/3.45 (define @t126 () (tptp.product @t30 @t29)) % 3.21/3.45 (define @t127 () (tptp.product @t118 @t126)) % 3.21/3.45 (define @t128 () (= @t127 (tptp.product (tptp.product @t118 @t30) @t29))) % 3.21/3.45 (define @t129 () (and @t64 @t65 @t66 @t68 @t71 @t73 @t43 @t74 @t76 @t78 @t79 @t81 @t83 @t84 @t85 @t87 @t89 @t91 @t92 @t94 @t96 @t97 @t98 @t99 @t100 @t54 @t101 @t104 @t108 @t109 @t111 @t113 @t117 @t120 @t122 @t125 @t128)) % 3.21/3.45 (assume @p1 @t4) % 3.21/3.45 (assume @p2 (forall @t3 (= (tptp.product tptp.one @t1) @t1))) % 3.21/3.45 (assume @p3 @t8) % 3.21/3.45 (assume @p4 @t11) % 3.21/3.45 (assume @p5 @t13) % 3.21/3.45 (assume @p6 @t15) % 3.21/3.45 (assume @p7 @t18) % 3.21/3.45 (assume @p8 (forall @t17 (= @t20 (tptp.quotient (tptp.quotient (tptp.product @t16 @t9) @t5) @t1)))) % 3.21/3.45 (assume @p9 (forall @t3 (= @t21 (tptp.difference @t1 tptp.one)))) % 3.21/3.45 (assume @p10 (forall @t3 (= @t22 (tptp.quotient tptp.one @t1)))) % 3.21/3.45 (assume @p11 (forall @t3 (= @t23 (tptp.product @t1 @t22)))) % 3.21/3.45 (assume @p12 @t25) % 3.21/3.45 (assume @p13 (forall @t7 (= (tptp.product (tptp.i @t21) @t5) (tptp.product @t24 @t9)))) % 3.21/3.45 (assume @p14 @t27) % 3.21/3.45 (assume @p15 (forall @t7 (= (tptp.product @t1 (tptp.product @t5 @t24)) (tptp.product @t9 @t24)))) % 3.21/3.45 (assume @p16 (forall @t17 (= (tptp.product @t24 @t19) (tptp.product @t26 @t16)))) % 3.21/3.45 (assume @p17 (forall @t17 (= (tptp.l @t1 @t5 @t16) @t20))) % 3.21/3.45 (assume @p18 (forall @t17 (= (tptp.l @t1 @t1 @t19) (tptp.product (tptp.l @t1 @t1 @t5) (tptp.l @t1 @t1 @t16))))) % 3.21/3.45 (assume @p19 (forall @t7 (= (tptp.t @t1 @t5) (tptp.quotient @t9 @t1)))) % 3.21/3.45 (assume @p20 (forall @t17 (= (tptp.t @t24 @t19) (tptp.product (tptp.t @t24 @t5) (tptp.t @t24 @t16))))) % 3.21/3.45 (assume @p21 (not @t34)) % 3.21/3.45 (step @p22 :rule instantiate :premises (@p10) :args (@t35)) % 3.21/3.45 (step @p23 :rule instantiate :premises (@p10) :args (@t36)) % 3.21/3.45 (step @p24 :rule instantiate :premises (@p10) :args (@t37)) % 3.21/3.45 (step @p25 :rule instantiate :premises (@p10) :args (@t38)) % 3.21/3.45 (step @p26 :rule instantiate :premises (@p11) :args (@t35)) % 3.21/3.45 (step @p27 :rule instantiate :premises (@p11) :args (@t37)) % 3.21/3.45 (step @p28 :rule eq-symm :args (@t41 @t33)) % 3.21/3.45 (step @p29 :rule refl :args (@t27)) % 3.21/3.45 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t27 @t42))) % 3.21/3.45 (assume-push @p255 @t27) % 3.21/3.45 (step @p32 :rule instantiate :premises (@p14) :args ((@list tptp.x0 @t30))) % 3.21/3.45 (step-pop @p256 :rule scope :premises (@p32)) % 3.21/3.45 (step @p33 :rule process_scope :premises (@p256) :args (@t42)) % 3.21/3.45 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 3.21/3.45 (step @p36 :rule implies_elim :premises (@p35)) % 3.21/3.45 (step @p37 :rule chain_m_resolution :premises (@p36 @p14) :args (@t43 @t44 (@list @t27))) % 3.21/3.45 (step @p38 :rule eq-symm :args (@t12 @t1)) % 3.21/3.45 (step @p39 :rule cong :premises (@p38) :args (@t13)) % 3.21/3.45 (step @p40 :rule eq_resolve :premises (@p5 @p39)) % 3.21/3.45 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t45 tptp.x0))) % 3.21/3.45 (step @p42 :rule eq-symm :args (@t14 @t1)) % 3.21/3.45 (step @p43 :rule cong :premises (@p42) :args (@t15)) % 3.21/3.45 (step @p44 :rule eq_resolve :premises (@p6 @p43)) % 3.21/3.45 (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.one tptp.x0))) % 3.21/3.45 (step @p46 :rule instantiate :premises (@p44) :args ((@list tptp.one @t31))) % 3.21/3.45 (step @p47 :rule instantiate :premises (@p44) :args ((@list tptp.one @t29))) % 3.21/3.45 (step @p48 :rule instantiate :premises (@p9) :args (@t35)) % 3.21/3.45 (step @p49 :rule instantiate :premises (@p9) :args (@t37)) % 3.21/3.45 (step @p50 :rule instantiate :premises (@p9) :args (@t38)) % 3.21/3.45 (step @p51 :rule eq-symm :args (@t24 @t23)) % 3.21/3.45 (step @p52 :rule cong :premises (@p51) :args (@t25)) % 3.21/3.45 (step @p53 :rule eq_resolve :premises (@p12 @p52)) % 3.21/3.45 (step @p54 :rule instantiate :premises (@p53) :args (@t35)) % 3.21/3.45 (step @p55 :rule instantiate :premises (@p53) :args (@t37)) % 3.21/3.45 (step @p56 :rule instantiate :premises (@p19) :args ((@list tptp.x0 @t31))) % 3.21/3.45 (step @p57 :rule instantiate :premises (@p19) :args ((@list @t46 @t31))) % 3.21/3.45 (step @p58 :rule eq-symm :args (@t6 @t5)) % 3.21/3.45 (step @p59 :rule cong :premises (@p58) :args (@t8)) % 3.21/3.45 (step @p60 :rule eq_resolve :premises (@p3 @p59)) % 3.21/3.45 (step @p61 :rule instantiate :premises (@p60) :args ((@list tptp.x0 tptp.one))) % 3.21/3.45 (step @p62 :rule instantiate :premises (@p60) :args ((@list tptp.x1 tptp.one))) % 3.21/3.45 (step @p63 :rule instantiate :premises (@p60) :args ((@list @t31 tptp.one))) % 3.21/3.45 (step @p64 :rule instantiate :premises (@p60) :args ((@list @t29 tptp.one))) % 3.21/3.45 (step @p65 :rule eq-symm :args (@t10 @t5)) % 3.21/3.45 (step @p66 :rule cong :premises (@p65) :args (@t11)) % 3.21/3.45 (step @p67 :rule eq_resolve :premises (@p4 @p66)) % 3.21/3.45 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t47 tptp.x0))) % 3.21/3.45 (step @p69 :rule instantiate :premises (@p67) :args ((@list @t48 @t31))) % 3.21/3.45 (step @p70 :rule instantiate :premises (@p44) :args ((@list @t50 @t49))) % 3.21/3.45 (step @p71 :rule eq-symm :args (@t52 @t50)) % 3.21/3.45 (step @p72 :rule refl :args (@t18)) % 3.21/3.45 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t18 @t53))) % 3.21/3.45 (assume-push @p257 @t18) % 3.21/3.45 (step @p75 :rule instantiate :premises (@p7) :args ((@list tptp.x1 tptp.x0 @t49))) % 3.21/3.45 (step-pop @p258 :rule scope :premises (@p75)) % 3.21/3.45 (step @p76 :rule process_scope :premises (@p258) :args (@t53)) % 3.21/3.45 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 3.21/3.45 (step @p79 :rule implies_elim :premises (@p78)) % 3.21/3.45 (step @p80 :rule chain_m_resolution :premises (@p79 @p7) :args (@t54 @t44 (@list @t18))) % 3.21/3.45 (step @p81 :rule instantiate :premises (@p40) :args ((@list @t29 @t55))) % 3.21/3.45 (step @p82 :rule instantiate :premises (@p9) :args (@t56)) % 3.21/3.45 (step @p83 :rule instantiate :premises (@p13) :args ((@list @t31 tptp.x0))) % 3.21/3.45 (step @p84 :rule eq-symm :args (@t2 @t1)) % 3.21/3.45 (step @p85 :rule cong :premises (@p84) :args (@t4)) % 3.21/3.45 (step @p86 :rule eq_resolve :premises (@p1 @p85)) % 3.21/3.45 (step @p87 :rule instantiate :premises (@p86) :args (@t36)) % 3.21/3.45 (step @p88 :rule instantiate :premises (@p44) :args ((@list @t60 @t57))) % 3.21/3.45 (step @p89 :rule instantiate :premises (@p44) :args ((@list @t62 @t55))) % 3.21/3.45 (step @p90 :rule instantiate :premises (@p7) :args ((@list tptp.x0 @t40 tptp.x1))) % 3.21/3.45 (step @p91 :rule instantiate :premises (@p53) :args (@t56)) % 3.21/3.45 (step @p92 :rule instantiate :premises (@p60) :args ((@list tptp.x0 @t63))) % 3.21/3.45 (step @p93 :rule instantiate :premises (@p40) :args ((@list @t33 tptp.x1))) % 3.21/3.45 (step @p94 :rule instantiate :premises (@p16) :args ((@list @t48 @t30 @t29))) % 3.21/3.45 (assume-push @p259 @t64) % 3.21/3.45 (assume-push @p260 @t65) % 3.21/3.45 (assume-push @p261 @t66) % 3.21/3.45 (assume-push @p262 @t68) % 3.21/3.45 (assume-push @p263 @t71) % 3.21/3.45 (assume-push @p264 @t73) % 3.21/3.45 (assume-push @p265 @t43) % 3.21/3.45 (assume-push @p266 @t74) % 3.21/3.45 (assume-push @p267 @t76) % 3.21/3.45 (assume-push @p268 @t78) % 3.21/3.45 (assume-push @p269 @t79) % 3.21/3.45 (assume-push @p270 @t81) % 3.21/3.45 (assume-push @p271 @t83) % 3.21/3.45 (assume-push @p272 @t84) % 3.21/3.45 (assume-push @p273 @t85) % 3.21/3.45 (assume-push @p274 @t87) % 3.21/3.45 (assume-push @p275 @t89) % 3.21/3.45 (assume-push @p276 @t91) % 3.21/3.45 (assume-push @p277 @t92) % 3.21/3.45 (assume-push @p278 @t94) % 3.21/3.45 (assume-push @p279 @t96) % 3.21/3.45 (assume-push @p280 @t97) % 3.21/3.45 (assume-push @p281 @t98) % 3.21/3.45 (assume-push @p282 @t99) % 3.21/3.45 (assume-push @p283 @t100) % 3.21/3.45 (assume-push @p284 @t54) % 3.21/3.45 (assume-push @p285 @t101) % 3.21/3.45 (assume-push @p286 @t104) % 3.21/3.45 (assume-push @p287 @t108) % 3.21/3.45 (assume-push @p288 @t109) % 3.21/3.45 (assume-push @p289 @t111) % 3.21/3.45 (assume-push @p290 @t113) % 3.21/3.45 (assume-push @p291 @t117) % 3.21/3.45 (assume-push @p292 @t120) % 3.21/3.45 (assume-push @p293 @t122) % 3.21/3.45 (assume-push @p294 @t125) % 3.21/3.45 (assume-push @p295 @t128) % 3.21/3.45 (step @p132 :rule symm :premises (@p23)) % 3.21/3.45 (step @p133 :rule refl :args (tptp.x1)) % 3.21/3.45 (step @p134 :rule symm :premises (@p61)) % 3.21/3.45 (step @p135 :rule symm :premises (@p41)) % 3.21/3.45 (step @p136 :rule refl :args (tptp.x0)) % 3.21/3.45 (step @p137 :rule symm :premises (@p26)) % 3.21/3.45 (step @p138 :rule cong :premises (@p137 @p136) :args (@t88)) % 3.21/3.45 (step @p139 :rule refl :args (@t31)) % 3.21/3.45 (step @p140 :rule symm :premises (@p68)) % 3.21/3.45 (step @p141 :rule cong :premises (@p22 @p45) :args (@t82)) % 3.21/3.45 (step @p142 :rule trans :premises (@p49 @p141 @p140)) % 3.21/3.45 (step @p143 :rule cong :premises (@p142 @p139) :args (@t90)) % 3.21/3.45 (step @p144 :rule symm :premises (@p57)) % 3.21/3.45 (step @p145 :rule symm :premises (@p142)) % 3.21/3.45 (step @p146 :rule cong :premises (@p145 @p139) :args (@t69)) % 3.21/3.45 (step @p147 :rule cong :premises (@p142) :args (@t106)) % 3.21/3.45 (step @p148 :rule cong :premises (@p147 @p136) :args (@t107)) % 3.21/3.45 (step @p149 :rule symm :premises (@p83)) % 3.21/3.45 (step @p150 :rule refl :args (@t105)) % 3.21/3.45 (step @p151 :rule symm :premises (@p54)) % 3.21/3.45 (step @p152 :rule trans :premises (@p151 @p26 @p146 @p55)) % 3.21/3.45 (step @p153 :rule cong :premises (@p152 @p150) :args ((tptp.product @t39 @t105))) % 3.21/3.45 (step @p154 :rule trans :premises (@p141 @p140)) % 3.21/3.45 (step @p155 :rule cong :premises (@p139 @p154) :args (@t95)) % 3.21/3.45 (step @p156 :rule symm :premises (@p47)) % 3.21/3.45 (step @p157 :rule refl :args (@t29)) % 3.21/3.45 (step @p158 :rule cong :premises (@p25 @p157) :args (@t126)) % 3.21/3.45 (step @p159 :rule trans :premises (@p158 @p156 @p63 @p155)) % 3.21/3.45 (step @p160 :rule symm :premises (@p146)) % 3.21/3.45 (step @p161 :rule symm :premises (@p27)) % 3.21/3.45 (step @p162 :rule symm :premises (@p24)) % 3.21/3.45 (step @p163 :rule symm :premises (@p69)) % 3.21/3.45 (step @p164 :rule refl :args (@t48)) % 3.21/3.45 (step @p165 :rule cong :premises (@p164 @p46) :args (@t102)) % 3.21/3.45 (step @p166 :rule trans :premises (@p82 @p165 @p163)) % 3.21/3.45 (step @p167 :rule cong :premises (@p166 @p162) :args (@t119)) % 3.21/3.45 (step @p168 :rule symm :premises (@p91)) % 3.21/3.45 (step @p169 :rule trans :premises (@p168 @p167 @p161 @p160 @p137 @p54)) % 3.21/3.45 (step @p170 :rule cong :premises (@p169 @p159) :args (@t127)) % 3.21/3.45 (step @p171 :rule symm :premises (@p94)) % 3.21/3.45 (step @p172 :rule refl :args (@t30)) % 3.21/3.45 (step @p173 :rule symm :premises (@p169)) % 3.21/3.45 (step @p174 :rule cong :premises (@p173 @p172) :args (@t40)) % 3.21/3.45 (step @p175 :rule cong :premises (@p174 @p157) :args (@t114)) % 3.21/3.45 (step @p176 :rule symm :premises (@p81)) % 3.21/3.45 (step @p177 :rule symm :premises (@p62)) % 3.21/3.45 (step @p178 :rule symm :premises (@p64)) % 3.21/3.45 (step @p179 :rule cong :premises (@p157 @p50) :args (@t51)) % 3.21/3.45 (step @p180 :rule trans :premises (@p179 @p178)) % 3.21/3.45 (step @p181 :rule cong :premises (@p133 @p180) :args (@t52)) % 3.21/3.45 (step @p182 :rule symm :premises (@p70)) % 3.21/3.45 (step @p183 :rule trans :premises (@p182 @p80 @p181)) % 3.21/3.45 (step @p184 :rule cong :premises (@p133 @p183) :args (@t59)) % 3.21/3.45 (step @p185 :rule trans :premises (@p184 @p177)) % 3.21/3.45 (step @p186 :rule trans :premises (@p185 @p64)) % 3.21/3.45 (step @p187 :rule cong :premises (@p186 @p50) :args (@t60)) % 3.21/3.45 (step @p188 :rule symm :premises (@p88)) % 3.21/3.45 (step @p189 :rule trans :premises (@p188 @p187 @p176)) % 3.21/3.45 (step @p190 :rule refl :args (@t40)) % 3.21/3.45 (step @p191 :rule cong :premises (@p190 @p189) :args ((tptp.product @t40 @t110))) % 3.21/3.45 (step @p192 :rule trans :premises (@p191 @p175 @p171 @p170 @p153 @p149 @p148 @p26)) % 3.21/3.45 (step @p193 :rule symm :premises (@p191)) % 3.21/3.45 (step @p194 :rule trans :premises (@p193 @p192 @p146)) % 3.21/3.45 (step @p195 :rule cong :premises (@p194 @p145) :args (@t115)) % 3.21/3.45 (step @p196 :rule trans :premises (@p90 @p195 @p144 @p143 @p56 @p138 @p135 @p48)) % 3.21/3.45 (step @p197 :rule cong :premises (@p136 @p196) :args (@t121)) % 3.21/3.45 (step @p198 :rule cong :premises (@p37 @p133) :args (@t123)) % 3.21/3.45 (step @p199 :rule symm :premises (@p87)) % 3.21/3.45 (step @p200 :rule cong :premises (@p133 @p177) :args ((tptp.product tptp.x1 @t93))) % 3.21/3.45 (step @p201 :rule trans :premises (@p178 @p62)) % 3.21/3.45 (step @p202 :rule cong :premises (@p133 @p201) :args (@t62)) % 3.21/3.45 (step @p203 :rule symm :premises (@p89)) % 3.21/3.45 (step @p204 :rule trans :premises (@p203 @p202 @p200 @p199)) % 3.21/3.45 (step @p205 :rule refl :args (@t33)) % 3.21/3.45 (step @p206 :rule cong :premises (@p205 @p204) :args ((tptp.product @t33 @t112))) % 3.21/3.45 (step @p207 :rule trans :premises (@p206 @p198 @p92 @p197 @p134)) % 3.21/3.45 (step @p208 :rule symm :premises (@p206)) % 3.21/3.45 (step @p209 :rule trans :premises (@p208 @p207)) % 3.21/3.45 (step @p210 :rule cong :premises (@p209 @p133) :args (@t124)) % 3.21/3.45 (step @p211 :rule trans :premises (@p93 @p210 @p132)) % 3.21/3.45 (step-pop @p296 :rule scope :premises (@p211)) % 3.21/3.45 (step-pop @p297 :rule scope :premises (@p296)) % 3.21/3.45 (step-pop @p298 :rule scope :premises (@p297)) % 3.21/3.45 (step-pop @p299 :rule scope :premises (@p298)) % 3.21/3.45 (step-pop @p300 :rule scope :premises (@p299)) % 3.21/3.45 (step-pop @p301 :rule scope :premises (@p300)) % 3.21/3.45 (step-pop @p302 :rule scope :premises (@p301)) % 3.21/3.45 (step-pop @p303 :rule scope :premises (@p302)) % 3.21/3.45 (step-pop @p304 :rule scope :premises (@p303)) % 3.21/3.45 (step-pop @p305 :rule scope :premises (@p304)) % 3.21/3.45 (step-pop @p306 :rule scope :premises (@p305)) % 3.21/3.45 (step-pop @p307 :rule scope :premises (@p306)) % 3.21/3.45 (step-pop @p308 :rule scope :premises (@p307)) % 3.21/3.45 (step-pop @p309 :rule scope :premises (@p308)) % 3.21/3.45 (step-pop @p310 :rule scope :premises (@p309)) % 3.21/3.45 (step-pop @p311 :rule scope :premises (@p310)) % 3.21/3.45 (step-pop @p312 :rule scope :premises (@p311)) % 3.21/3.45 (step-pop @p313 :rule scope :premises (@p312)) % 3.21/3.45 (step-pop @p314 :rule scope :premises (@p313)) % 3.21/3.45 (step-pop @p315 :rule scope :premises (@p314)) % 3.21/3.45 (step-pop @p316 :rule scope :premises (@p315)) % 3.21/3.45 (step-pop @p317 :rule scope :premises (@p316)) % 3.21/3.45 (step-pop @p318 :rule scope :premises (@p317)) % 3.21/3.45 (step-pop @p319 :rule scope :premises (@p318)) % 3.21/3.45 (step-pop @p320 :rule scope :premises (@p319)) % 3.21/3.45 (step-pop @p321 :rule scope :premises (@p320)) % 3.21/3.45 (step-pop @p322 :rule scope :premises (@p321)) % 3.21/3.45 (step-pop @p323 :rule scope :premises (@p322)) % 3.21/3.45 (step-pop @p324 :rule scope :premises (@p323)) % 3.21/3.45 (step-pop @p325 :rule scope :premises (@p324)) % 3.21/3.45 (step-pop @p326 :rule scope :premises (@p325)) % 3.21/3.45 (step-pop @p327 :rule scope :premises (@p326)) % 3.21/3.45 (step-pop @p328 :rule scope :premises (@p327)) % 3.21/3.45 (step-pop @p329 :rule scope :premises (@p328)) % 3.21/3.45 (step-pop @p330 :rule scope :premises (@p329)) % 3.21/3.45 (step-pop @p331 :rule scope :premises (@p330)) % 3.21/3.45 (step-pop @p332 :rule scope :premises (@p331)) % 3.21/3.45 (step @p212 :rule process_scope :premises (@p332) :args (@t34)) % 3.21/3.45 (step @p250 :rule implies_elim :premises (@p212)) % 3.21/3.45 (step @p251 :rule cnf_and_neg :args (@t129)) % 3.21/3.45 (step @p252 :rule resolution :premises (@p251 @p250) :args (true @t129)) % 3.21/3.45 (step @p253 :rule reordering :premises (@p252) :args ((or @t34 (not @t64) (not @t65) (not @t66) (not @t68) (not @t71) (not @t73) (not @t43) (not @t74) (not @t76) (not @t78) (not @t79) (not @t81) (not @t83) (not @t84) (not @t85) (not @t87) (not @t89) (not @t91) (not @t92) (not @t94) (not @t96) (not @t97) (not @t98) (not @t99) (not @t100) (not @t54) (not @t101) (not @t104) (not @t108) (not @t109) (not @t111) (not @t113) (not @t117) (not @t120) (not @t122) (not @t125) (not @t128)))) % 3.21/3.45 (step @p254 false :rule chain_m_resolution :premises (@p253 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p83 @p82 @p81 @p80 @p70 @p69 @p68 @p64 @p63 @p62 @p61 @p57 @p56 @p55 @p54 @p50 @p49 @p48 @p47 @p46 @p45 @p41 @p37 @p27 @p26 @p25 @p24 @p23 @p22 @p21) :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 false false false false false false false false false false false true) (@list @t128 @t125 @t122 @t120 @t117 @t113 @t111 @t109 @t108 @t104 @t101 @t54 @t100 @t99 @t98 @t97 @t96 @t94 @t92 @t91 @t89 @t87 @t85 @t84 @t83 @t81 @t79 @t78 @t76 @t74 @t43 @t73 @t71 @t68 @t66 @t65 @t64 @t34))) % 3.21/3.45 ) % 3.21/3.47 % SZS output end Proof % 3.21/3.47 % cvc5 exiting %------------------------------------------------------------------------------