%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG039+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:05:05 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG039+1 : TPTP v9.2.1. Released v2.7.0. % 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 : n008.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 : Wed Jun 3 01:38:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.unit $$unsorted) % 0.37/0.58 (declare-const tptp.e0 $$unsorted) % 0.37/0.58 (declare-const tptp.e1 $$unsorted) % 0.37/0.58 (declare-const tptp.e2 $$unsorted) % 0.37/0.58 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.e3 $$unsorted) % 0.37/0.58 (define @t1 () (tptp.op tptp.e3 tptp.e3)) % 0.37/0.58 (define @t2 () (= @t1 tptp.e3)) % 0.37/0.58 (define @t3 () (= @t1 tptp.e2)) % 0.37/0.58 (define @t4 () (= @t1 tptp.e1)) % 0.37/0.58 (define @t5 () (= @t1 tptp.e0)) % 0.37/0.58 (define @t6 () (tptp.op tptp.e3 tptp.e2)) % 0.37/0.58 (define @t7 () (= @t6 tptp.e3)) % 0.37/0.58 (define @t8 () (= @t6 tptp.e2)) % 0.37/0.58 (define @t9 () (= @t6 tptp.e1)) % 0.37/0.58 (define @t10 () (= @t6 tptp.e0)) % 0.37/0.58 (define @t11 () (tptp.op tptp.e3 tptp.e1)) % 0.37/0.58 (define @t12 () (= @t11 tptp.e3)) % 0.37/0.58 (define @t13 () (= @t11 tptp.e2)) % 0.37/0.58 (define @t14 () (= @t11 tptp.e1)) % 0.37/0.58 (define @t15 () (= @t11 tptp.e0)) % 0.37/0.58 (define @t16 () (tptp.op tptp.e3 tptp.e0)) % 0.37/0.58 (define @t17 () (= @t16 tptp.e3)) % 0.37/0.58 (define @t18 () (= @t16 tptp.e2)) % 0.37/0.58 (define @t19 () (= @t16 tptp.e1)) % 0.37/0.58 (define @t20 () (= @t16 tptp.e0)) % 0.37/0.58 (define @t21 () (tptp.op tptp.e2 tptp.e3)) % 0.37/0.58 (define @t22 () (= @t21 tptp.e3)) % 0.37/0.58 (define @t23 () (= @t21 tptp.e2)) % 0.37/0.58 (define @t24 () (= @t21 tptp.e1)) % 0.37/0.58 (define @t25 () (= @t21 tptp.e0)) % 0.37/0.58 (define @t26 () (tptp.op tptp.e2 tptp.e2)) % 0.37/0.58 (define @t27 () (= @t26 tptp.e3)) % 0.37/0.58 (define @t28 () (= @t26 tptp.e2)) % 0.37/0.58 (define @t29 () (= @t26 tptp.e1)) % 0.37/0.58 (define @t30 () (= @t26 tptp.e0)) % 0.37/0.58 (define @t31 () (tptp.op tptp.e2 tptp.e1)) % 0.37/0.58 (define @t32 () (= @t31 tptp.e3)) % 0.37/0.58 (define @t33 () (= @t31 tptp.e2)) % 0.37/0.58 (define @t34 () (= @t31 tptp.e1)) % 0.37/0.58 (define @t35 () (= @t31 tptp.e0)) % 0.37/0.58 (define @t36 () (tptp.op tptp.e2 tptp.e0)) % 0.37/0.58 (define @t37 () (= @t36 tptp.e3)) % 0.37/0.58 (define @t38 () (= @t36 tptp.e2)) % 0.37/0.58 (define @t39 () (= @t36 tptp.e1)) % 0.37/0.58 (define @t40 () (= @t36 tptp.e0)) % 0.37/0.58 (define @t41 () (tptp.op tptp.e1 tptp.e3)) % 0.37/0.58 (define @t42 () (= @t41 tptp.e3)) % 0.37/0.58 (define @t43 () (= @t41 tptp.e2)) % 0.37/0.58 (define @t44 () (= @t41 tptp.e1)) % 0.37/0.58 (define @t45 () (= @t41 tptp.e0)) % 0.37/0.58 (define @t46 () (tptp.op tptp.e1 tptp.e2)) % 0.37/0.58 (define @t47 () (= @t46 tptp.e3)) % 0.37/0.58 (define @t48 () (= @t46 tptp.e2)) % 0.37/0.58 (define @t49 () (= @t46 tptp.e1)) % 0.37/0.58 (define @t50 () (= @t46 tptp.e0)) % 0.37/0.58 (define @t51 () (tptp.op tptp.e1 tptp.e1)) % 0.37/0.58 (define @t52 () (= @t51 tptp.e3)) % 0.37/0.58 (define @t53 () (= @t51 tptp.e2)) % 0.37/0.58 (define @t54 () (= @t51 tptp.e1)) % 0.37/0.58 (define @t55 () (= @t51 tptp.e0)) % 0.37/0.58 (define @t56 () (tptp.op tptp.e1 tptp.e0)) % 0.37/0.58 (define @t57 () (= @t56 tptp.e3)) % 0.37/0.58 (define @t58 () (= @t56 tptp.e2)) % 0.37/0.58 (define @t59 () (= @t56 tptp.e1)) % 0.37/0.58 (define @t60 () (= @t56 tptp.e0)) % 0.37/0.58 (define @t61 () (tptp.op tptp.e0 tptp.e3)) % 0.37/0.58 (define @t62 () (= @t61 tptp.e3)) % 0.37/0.58 (define @t63 () (= @t61 tptp.e2)) % 0.37/0.58 (define @t64 () (= @t61 tptp.e1)) % 0.37/0.58 (define @t65 () (= @t61 tptp.e0)) % 0.37/0.58 (define @t66 () (tptp.op tptp.e0 tptp.e2)) % 0.37/0.58 (define @t67 () (= @t66 tptp.e3)) % 0.37/0.58 (define @t68 () (= @t66 tptp.e2)) % 0.37/0.58 (define @t69 () (= @t66 tptp.e1)) % 0.37/0.58 (define @t70 () (= @t66 tptp.e0)) % 0.37/0.58 (define @t71 () (tptp.op tptp.e0 tptp.e1)) % 0.37/0.58 (define @t72 () (= @t71 tptp.e3)) % 0.37/0.58 (define @t73 () (= @t71 tptp.e2)) % 0.37/0.58 (define @t74 () (= @t71 tptp.e1)) % 0.37/0.58 (define @t75 () (= @t71 tptp.e0)) % 0.37/0.58 (define @t76 () (tptp.op tptp.e0 tptp.e0)) % 0.37/0.58 (define @t77 () (= @t76 tptp.e3)) % 0.37/0.58 (define @t78 () (= @t76 tptp.e2)) % 0.37/0.58 (define @t79 () (= @t76 tptp.e1)) % 0.37/0.58 (define @t80 () (= @t76 tptp.e0)) % 0.37/0.58 (define @t81 () (= tptp.e0 @t51)) % 0.37/0.58 (define @t82 () (and @t77 @t52 @t27 @t2)) % 0.37/0.58 (define @t83 () (and @t78 @t53 @t28 @t3)) % 0.37/0.58 (define @t84 () (and @t79 @t54 @t29 @t4)) % 0.37/0.58 (define @t85 () (and @t80 @t55 @t30 @t5)) % 0.37/0.58 (define @t86 () (or @t85 @t84 @t83 @t82)) % 0.37/0.58 (define @t87 () (not @t86)) % 0.37/0.58 (define @t88 () (and @t86 @t87)) % 0.37/0.58 (define @t89 () (= tptp.e2 @t51)) % 0.37/0.58 (define @t90 () (and (= tptp.e2 @t76) @t89 (= tptp.e2 @t26) (= tptp.e2 @t1))) % 0.37/0.58 (define @t91 () (not @t90)) % 0.37/0.58 (define @t92 () (= tptp.e0 @t1)) % 0.37/0.58 (define @t93 () (= tptp.e0 @t26)) % 0.37/0.58 (define @t94 () (= tptp.e0 @t76)) % 0.37/0.58 (define @t95 () (and @t94 @t81 @t93 @t92)) % 0.37/0.58 (define @t96 () (not @t95)) % 0.37/0.58 (define @t97 () (@list false)) % 0.37/0.58 (define @t98 () (@list @t95)) % 0.37/0.58 (assume @p1 (and (or @t80 @t79 @t78 @t77) (or @t75 @t74 @t73 @t72) (or @t70 @t69 @t68 @t67) (or @t65 @t64 @t63 @t62) (or @t60 @t59 @t58 @t57) (or @t55 @t54 @t53 @t52) (or @t50 @t49 @t48 @t47) (or @t45 @t44 @t43 @t42) (or @t40 @t39 @t38 @t37) (or @t35 @t34 @t33 @t32) (or @t30 @t29 @t28 @t27) (or @t25 @t24 @t23 @t22) (or @t20 @t19 @t18 @t17) (or @t15 @t14 @t13 @t12) (or @t10 @t9 @t8 @t7) (or @t5 @t4 @t3 @t2))) % 0.37/0.58 (assume @p2 (and (= (tptp.op tptp.unit tptp.e0) tptp.e0) (= (tptp.op tptp.e0 tptp.unit) tptp.e0) (= (tptp.op tptp.unit tptp.e1) tptp.e1) (= (tptp.op tptp.e1 tptp.unit) tptp.e1) (= (tptp.op tptp.unit tptp.e2) tptp.e2) (= (tptp.op tptp.e2 tptp.unit) tptp.e2) (= (tptp.op tptp.unit tptp.e3) tptp.e3) (= (tptp.op tptp.e3 tptp.unit) tptp.e3) (or (= tptp.unit tptp.e0) (= tptp.unit tptp.e1) (= tptp.unit tptp.e2) (= tptp.unit tptp.e3)))) % 0.37/0.58 (assume @p3 (and (or @t80 @t75 @t70 @t65) (or @t80 @t60 @t40 @t20) (or @t79 @t74 @t69 @t64) (or @t79 @t59 @t39 @t19) (or @t78 @t73 @t68 @t63) (or @t78 @t58 @t38 @t18) (or @t77 @t72 @t67 @t62) (or @t77 @t57 @t37 @t17) (or @t60 @t55 @t50 @t45) (or @t75 @t55 @t35 @t15) (or @t59 @t54 @t49 @t44) (or @t74 @t54 @t34 @t14) (or @t58 @t53 @t48 @t43) (or @t73 @t53 @t33 @t13) (or @t57 @t52 @t47 @t42) (or @t72 @t52 @t32 @t12) (or @t40 @t35 @t30 @t25) (or @t70 @t50 @t30 @t10) (or @t39 @t34 @t29 @t24) (or @t69 @t49 @t29 @t9) (or @t38 @t33 @t28 @t23) (or @t68 @t48 @t28 @t8) (or @t37 @t32 @t27 @t22) (or @t67 @t47 @t27 @t7) (or @t20 @t15 @t10 @t5) (or @t65 @t45 @t25 @t5) (or @t19 @t14 @t9 @t4) (or @t64 @t44 @t24 @t4) (or @t18 @t13 @t8 @t3) (or @t63 @t43 @t23 @t3) (or @t17 @t12 @t7 @t2) (or @t62 @t42 @t22 @t2))) % 0.37/0.58 (assume @p4 (and (not (= @t76 @t56)) (not (= @t76 @t36)) (not (= @t76 @t16)) (not (= @t56 @t36)) (not (= @t56 @t16)) (not (= @t36 @t16)) (not (= @t71 @t51)) (not (= @t71 @t31)) (not (= @t71 @t11)) (not (= @t51 @t31)) (not (= @t51 @t11)) (not (= @t31 @t11)) (not (= @t66 @t46)) (not (= @t66 @t26)) (not (= @t66 @t6)) (not (= @t46 @t26)) (not (= @t46 @t6)) (not (= @t26 @t6)) (not (= @t61 @t41)) (not (= @t61 @t21)) (not (= @t61 @t1)) (not (= @t41 @t21)) (not (= @t41 @t1)) (not (= @t21 @t1)) (not (= @t76 @t71)) (not (= @t76 @t66)) (not (= @t76 @t61)) (not (= @t71 @t66)) (not (= @t71 @t61)) (not (= @t66 @t61)) (not (= @t56 @t51)) (not (= @t56 @t46)) (not (= @t56 @t41)) (not (= @t51 @t46)) (not (= @t51 @t41)) (not (= @t46 @t41)) (not (= @t36 @t31)) (not (= @t36 @t26)) (not (= @t36 @t21)) (not (= @t31 @t26)) (not (= @t31 @t21)) (not (= @t26 @t21)) (not (= @t16 @t11)) (not (= @t16 @t6)) (not (= @t16 @t1)) (not (= @t11 @t6)) (not (= @t11 @t1)) (not (= @t6 @t1)))) % 0.37/0.58 (assume @p5 (and (not (= tptp.e0 tptp.e1)) (not (= tptp.e0 tptp.e2)) (not (= tptp.e0 tptp.e3)) (not (= tptp.e1 tptp.e2)) (not (= tptp.e1 tptp.e3)) (not (= tptp.e2 tptp.e3)))) % 0.37/0.58 (assume @p6 (and @t81 (= tptp.e2 @t11))) % 0.37/0.58 (assume @p7 (not (not @t88))) % 0.37/0.58 (assume @p8 true) % 0.37/0.58 (step @p9 :rule and_elim :premises (@p6) :args (0)) % 0.37/0.58 (step @p10 :rule eq-symm :args (@t1 tptp.e3)) % 0.37/0.58 (step @p11 :rule eq-symm :args (@t26 tptp.e3)) % 0.37/0.58 (step @p12 :rule eq-symm :args (@t51 tptp.e3)) % 0.37/0.58 (step @p13 :rule eq-symm :args (@t76 tptp.e3)) % 0.37/0.58 (step @p14 :rule nary_cong :premises (@p13 @p12 @p11 @p10) :args (@t82)) % 0.37/0.58 (step @p15 :rule eq-symm :args (@t1 tptp.e2)) % 0.37/0.58 (step @p16 :rule eq-symm :args (@t26 tptp.e2)) % 0.37/0.58 (step @p17 :rule eq-symm :args (@t51 tptp.e2)) % 0.37/0.58 (step @p18 :rule eq-symm :args (@t76 tptp.e2)) % 0.37/0.58 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16 @p15) :args (@t83)) % 0.37/0.58 (step @p20 :rule eq-symm :args (@t1 tptp.e1)) % 0.37/0.58 (step @p21 :rule eq-symm :args (@t26 tptp.e1)) % 0.37/0.58 (step @p22 :rule eq-symm :args (@t51 tptp.e1)) % 0.37/0.58 (step @p23 :rule eq-symm :args (@t76 tptp.e1)) % 0.37/0.58 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21 @p20) :args (@t84)) % 0.37/0.58 (step @p25 :rule eq-symm :args (@t1 tptp.e0)) % 0.37/0.58 (step @p26 :rule eq-symm :args (@t26 tptp.e0)) % 0.37/0.58 (step @p27 :rule eq-symm :args (@t51 tptp.e0)) % 0.37/0.58 (step @p28 :rule eq-symm :args (@t76 tptp.e0)) % 0.37/0.58 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26 @p25) :args (@t85)) % 0.37/0.58 (step @p30 :rule nary_cong :premises (@p29 @p24 @p19 @p14) :args (@t86)) % 0.37/0.58 (step @p31 :rule cong :premises (@p30) :args (@t87)) % 0.37/0.58 (step @p32 :rule nary_cong :premises (@p30 @p31) :args (@t88)) % 0.37/0.58 (step @p33 :rule bool-double-not-elim :args (@t88)) % 0.37/0.58 (step @p34 :rule trans :premises (@p33 @p32)) % 0.37/0.58 (step @p35 :rule eq_resolve :premises (@p7 @p34)) % 0.37/0.58 (step @p36 :rule and_elim :premises (@p35) :args (1)) % 0.37/0.58 (step @p37 :rule not_or_elim :premises (@p36) :args (3)) % 0.37/0.58 (step @p38 :rule and_elim :premises (@p4) :args (10)) % 0.37/0.58 (step @p39 :rule symm :premises (@p38)) % 0.37/0.58 (step @p40 :rule false_intro :premises (@p39)) % 0.37/0.58 (step @p41 :rule refl :args (@t51)) % 0.37/0.58 (step @p42 :rule and_elim :premises (@p6) :args (1)) % 0.37/0.58 (step @p43 :rule cong :premises (@p42 @p41) :args (@t89)) % 0.37/0.58 (step @p44 :rule trans :premises (@p43 @p40)) % 0.37/0.58 (step @p45 :rule false_elim :premises (@p44)) % 0.37/0.58 (step @p46 :rule cnf_and_pos :args (@t90 1)) % 0.37/0.58 (step @p47 :rule reordering :premises (@p46) :args ((or @t89 @t91))) % 0.37/0.58 (step @p48 :rule chain_m_resolution :premises (@p47 @p45) :args (@t91 (@list true) (@list @t89))) % 0.37/0.58 (step @p49 :rule not_or_elim :premises (@p36) :args (1)) % 0.37/0.58 (step @p50 :rule and_elim :premises (@p35) :args (0)) % 0.37/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p49 @p48 @p37) :args (@t95 (@list true true true) (@list (and (= tptp.e1 @t76) (= tptp.e1 @t51) (= tptp.e1 @t26) (= tptp.e1 @t1)) @t90 (and (= tptp.e3 @t76) (= tptp.e3 @t51) (= tptp.e3 @t26) (= tptp.e3 @t1))))) % 0.37/0.58 (step @p52 :rule cnf_and_pos :args (@t95 3)) % 0.37/0.58 (step @p53 :rule reordering :premises (@p52) :args ((or @t92 @t96))) % 0.37/0.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p51) :args (@t92 @t97 @t98)) % 0.37/0.58 (step @p55 :rule cnf_and_pos :args (@t95 0)) % 0.37/0.58 (step @p56 :rule reordering :premises (@p55) :args ((or @t94 @t96))) % 0.37/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p51) :args (@t94 @t97 @t98)) % 0.37/0.58 (step @p58 :rule cnf_and_pos :args (@t95 2)) % 0.37/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t93 @t96))) % 0.37/0.58 (step @p60 :rule chain_m_resolution :premises (@p59 @p51) :args (@t93 @t97 @t98)) % 0.37/0.58 (step @p61 :rule not_or_elim :premises (@p36) :args (0)) % 0.37/0.58 (step @p62 :rule not_and :premises (@p61)) % 0.37/0.58 (step @p63 false :rule chain_m_resolution :premises (@p62 @p60 @p57 @p54 @p9) :args (false (@list false false false false) (@list @t93 @t94 @t92 @t81))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------