%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ047+1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:44:03 AM UTC 2026 % Result : Theorem 0.48s 0.69s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ047+1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.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 13:13:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.48/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.48/0.69 % SZS status Theorem % 0.48/0.69 % SZS output start Proof % 0.48/0.69 ( % 0.48/0.69 (declare-sort $$unsorted 0) % 0.48/0.69 (declare-const tptp.start $$unsorted) % 0.48/0.69 (declare-const tptp.go_alone (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.take_wolf (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.take_goat (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.south $$unsorted) % 0.48/0.69 (declare-const tptp.take_cabbage (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.p (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.69 (declare-const tptp.north $$unsorted) % 0.48/0.69 (define @t1 () (@var "Z" $$unsorted)) % 0.48/0.69 (define @t2 () (tptp.p tptp.north tptp.north tptp.north tptp.north @t1)) % 0.48/0.69 (define @t3 () (@list @t1)) % 0.48/0.69 (define @t4 () (exists @t3 @t2)) % 0.48/0.69 (define @t5 () (@var "V1" $$unsorted)) % 0.48/0.69 (define @t6 () (tptp.p tptp.south tptp.south tptp.north tptp.south (tptp.take_cabbage @t5))) % 0.48/0.69 (define @t7 () (tptp.p tptp.north tptp.south tptp.north tptp.north @t5)) % 0.48/0.69 (define @t8 () (forall (@list @t5) (=> @t7 @t6))) % 0.48/0.69 (define @t9 () (@var "U1" $$unsorted)) % 0.48/0.69 (define @t10 () (tptp.p tptp.north tptp.south tptp.north tptp.north (tptp.take_cabbage @t9))) % 0.48/0.69 (define @t11 () (tptp.p tptp.south tptp.south tptp.north tptp.south @t9)) % 0.48/0.69 (define @t12 () (forall (@list @t9) (=> @t11 @t10))) % 0.48/0.69 (define @t13 () (@var "T9" $$unsorted)) % 0.48/0.69 (define @t14 () (tptp.p tptp.south tptp.north tptp.south tptp.south (tptp.take_cabbage @t13))) % 0.48/0.69 (define @t15 () (tptp.p tptp.north tptp.north tptp.south tptp.north @t13)) % 0.48/0.69 (define @t16 () (forall (@list @t13) (=> @t15 @t14))) % 0.48/0.69 (define @t17 () (@var "T8" $$unsorted)) % 0.48/0.69 (define @t18 () (tptp.p tptp.north tptp.north tptp.south tptp.north (tptp.take_cabbage @t17))) % 0.48/0.69 (define @t19 () (tptp.p tptp.south tptp.north tptp.south tptp.south @t17)) % 0.48/0.69 (define @t20 () (forall (@list @t17) (=> @t19 @t18))) % 0.48/0.69 (define @t21 () (@var "V" $$unsorted)) % 0.48/0.69 (define @t22 () (@var "Y1" $$unsorted)) % 0.48/0.69 (define @t23 () (@var "X1" $$unsorted)) % 0.48/0.69 (define @t24 () (tptp.p tptp.south @t23 tptp.south @t22 (tptp.take_goat @t21))) % 0.48/0.69 (define @t25 () (tptp.p tptp.north @t23 tptp.north @t22 @t21)) % 0.48/0.69 (define @t26 () (forall (@list @t23 @t22 @t21) (=> @t25 @t24))) % 0.48/0.69 (define @t27 () (@var "U" $$unsorted)) % 0.48/0.69 (define @t28 () (@var "Y" $$unsorted)) % 0.48/0.69 (define @t29 () (@var "X" $$unsorted)) % 0.48/0.69 (define @t30 () (tptp.p tptp.north @t29 tptp.north @t28 (tptp.take_goat @t27))) % 0.48/0.69 (define @t31 () (tptp.p tptp.south @t29 tptp.south @t28 @t27)) % 0.48/0.69 (define @t32 () (forall (@list @t29 @t28 @t27) (=> @t31 @t30))) % 0.48/0.69 (define @t33 () (@var "T7" $$unsorted)) % 0.48/0.69 (define @t34 () (tptp.p tptp.south tptp.south tptp.north tptp.south (tptp.take_wolf @t33))) % 0.48/0.69 (define @t35 () (tptp.p tptp.north tptp.north tptp.north tptp.south @t33)) % 0.48/0.69 (define @t36 () (forall (@list @t33) (=> @t35 @t34))) % 0.48/0.69 (define @t37 () (@var "T6" $$unsorted)) % 0.48/0.69 (define @t38 () (tptp.p tptp.north tptp.north tptp.north tptp.south (tptp.take_wolf @t37))) % 0.48/0.69 (define @t39 () (tptp.p tptp.south tptp.south tptp.north tptp.south @t37)) % 0.48/0.69 (define @t40 () (forall (@list @t37) (=> @t39 @t38))) % 0.48/0.69 (define @t41 () (@var "T5" $$unsorted)) % 0.48/0.69 (define @t42 () (tptp.p tptp.south tptp.south tptp.south tptp.north (tptp.take_wolf @t41))) % 0.48/0.69 (define @t43 () (tptp.p tptp.north tptp.north tptp.south tptp.north @t41)) % 0.48/0.69 (define @t44 () (forall (@list @t41) (=> @t43 @t42))) % 0.48/0.69 (define @t45 () (@var "T4" $$unsorted)) % 0.48/0.69 (define @t46 () (tptp.p tptp.north tptp.north tptp.south tptp.north (tptp.take_wolf @t45))) % 0.48/0.69 (define @t47 () (tptp.p tptp.south tptp.south tptp.south tptp.north @t45)) % 0.48/0.69 (define @t48 () (forall (@list @t45) (=> @t47 @t46))) % 0.48/0.69 (define @t49 () (@var "T3" $$unsorted)) % 0.48/0.69 (define @t50 () (tptp.p tptp.south tptp.south tptp.north tptp.south (tptp.go_alone @t49))) % 0.48/0.69 (define @t51 () (tptp.p tptp.north tptp.south tptp.north tptp.south @t49)) % 0.48/0.69 (define @t52 () (forall (@list @t49) (=> @t51 @t50))) % 0.48/0.69 (define @t53 () (@var "T2" $$unsorted)) % 0.48/0.69 (define @t54 () (tptp.p tptp.north tptp.south tptp.north tptp.south (tptp.go_alone @t53))) % 0.48/0.69 (define @t55 () (tptp.p tptp.south tptp.south tptp.north tptp.south @t53)) % 0.48/0.69 (define @t56 () (forall (@list @t53) (=> @t55 @t54))) % 0.48/0.69 (define @t57 () (@var "T1" $$unsorted)) % 0.48/0.69 (define @t58 () (tptp.p tptp.south tptp.north tptp.south tptp.north (tptp.go_alone @t57))) % 0.48/0.69 (define @t59 () (tptp.p tptp.north tptp.north tptp.south tptp.north @t57)) % 0.48/0.69 (define @t60 () (forall (@list @t57) (=> @t59 @t58))) % 0.48/0.69 (define @t61 () (@var "T" $$unsorted)) % 0.48/0.69 (define @t62 () (tptp.p tptp.north tptp.north tptp.south tptp.north (tptp.go_alone @t61))) % 0.48/0.69 (define @t63 () (tptp.p tptp.south tptp.north tptp.south tptp.north @t61)) % 0.48/0.69 (define @t64 () (forall (@list @t61) (=> @t63 @t62))) % 0.48/0.69 (define @t65 () (tptp.p tptp.south tptp.south tptp.south tptp.south tptp.start)) % 0.48/0.69 (define @t66 () (and @t65 @t64 @t60 @t56 @t52 @t48 @t44 @t40 @t36 @t32 @t26 @t20 @t16 @t12 @t8)) % 0.48/0.69 (define @t67 () (=> @t66 @t4)) % 0.48/0.69 (define @t68 () (not @t67)) % 0.48/0.69 (define @t69 () (forall @t3 (not @t2))) % 0.48/0.69 (define @t70 () (tptp.take_goat tptp.start)) % 0.48/0.69 (define @t71 () (tptp.go_alone @t70)) % 0.48/0.69 (define @t72 () (tptp.take_cabbage @t71)) % 0.48/0.69 (define @t73 () (tptp.take_goat @t72)) % 0.48/0.69 (define @t74 () (tptp.take_wolf @t73)) % 0.48/0.69 (define @t75 () (tptp.go_alone @t74)) % 0.48/0.69 (define @t76 () (tptp.p tptp.north tptp.south tptp.north tptp.south @t70)) % 0.48/0.69 (define @t77 () (not @t65)) % 0.48/0.69 (define @t78 () (or @t77 @t76)) % 0.48/0.69 (define @t79 () (@list false false)) % 0.48/0.69 (define @t80 () (tptp.p tptp.south tptp.south tptp.north tptp.south @t71)) % 0.48/0.69 (define @t81 () (not @t76)) % 0.48/0.69 (define @t82 () (or @t81 @t80)) % 0.48/0.69 (define @t83 () (tptp.p tptp.north tptp.south tptp.north tptp.north @t72)) % 0.48/0.69 (define @t84 () (not @t80)) % 0.48/0.69 (define @t85 () (or @t84 @t83)) % 0.48/0.69 (define @t86 () (tptp.p tptp.south tptp.south tptp.south tptp.north @t73)) % 0.48/0.69 (define @t87 () (not @t83)) % 0.48/0.69 (define @t88 () (or @t87 @t86)) % 0.48/0.69 (define @t89 () (tptp.p tptp.north tptp.north tptp.south tptp.north @t74)) % 0.48/0.69 (define @t90 () (not @t86)) % 0.48/0.69 (define @t91 () (or @t90 @t89)) % 0.48/0.69 (define @t92 () (tptp.p tptp.south tptp.north tptp.south tptp.north @t75)) % 0.48/0.69 (define @t93 () (not @t89)) % 0.48/0.69 (define @t94 () (or @t93 @t92)) % 0.48/0.69 (define @t95 () (tptp.take_goat @t75)) % 0.48/0.69 (define @t96 () (tptp.p tptp.north tptp.north tptp.north tptp.north @t95)) % 0.48/0.69 (define @t97 () (not @t92)) % 0.48/0.69 (define @t98 () (or @t97 @t96)) % 0.48/0.69 (assume @p1 @t68) % 0.48/0.69 (assume @p2 true) % 0.48/0.69 (step @p3 :rule exists-elim :args ((= @t4 (not @t69)))) % 0.48/0.69 (step @p4 :rule bool-impl-elim :args (@t7 @t6)) % 0.48/0.69 (step @p5 :rule cong :premises (@p4) :args (@t8)) % 0.48/0.69 (step @p6 :rule bool-impl-elim :args (@t11 @t10)) % 0.48/0.69 (step @p7 :rule cong :premises (@p6) :args (@t12)) % 0.48/0.69 (step @p8 :rule bool-impl-elim :args (@t15 @t14)) % 0.48/0.69 (step @p9 :rule cong :premises (@p8) :args (@t16)) % 0.48/0.69 (step @p10 :rule bool-impl-elim :args (@t19 @t18)) % 0.48/0.69 (step @p11 :rule cong :premises (@p10) :args (@t20)) % 0.48/0.69 (step @p12 :rule bool-impl-elim :args (@t25 @t24)) % 0.48/0.69 (step @p13 :rule cong :premises (@p12) :args (@t26)) % 0.48/0.69 (step @p14 :rule bool-impl-elim :args (@t31 @t30)) % 0.48/0.69 (step @p15 :rule cong :premises (@p14) :args (@t32)) % 0.48/0.69 (step @p16 :rule bool-impl-elim :args (@t35 @t34)) % 0.48/0.69 (step @p17 :rule cong :premises (@p16) :args (@t36)) % 0.48/0.69 (step @p18 :rule bool-impl-elim :args (@t39 @t38)) % 0.48/0.69 (step @p19 :rule cong :premises (@p18) :args (@t40)) % 0.48/0.69 (step @p20 :rule bool-impl-elim :args (@t43 @t42)) % 0.48/0.69 (step @p21 :rule cong :premises (@p20) :args (@t44)) % 0.48/0.69 (step @p22 :rule bool-impl-elim :args (@t47 @t46)) % 0.48/0.69 (step @p23 :rule cong :premises (@p22) :args (@t48)) % 0.48/0.69 (step @p24 :rule bool-impl-elim :args (@t51 @t50)) % 0.48/0.69 (step @p25 :rule cong :premises (@p24) :args (@t52)) % 0.48/0.69 (step @p26 :rule bool-impl-elim :args (@t55 @t54)) % 0.48/0.69 (step @p27 :rule cong :premises (@p26) :args (@t56)) % 0.48/0.69 (step @p28 :rule bool-impl-elim :args (@t59 @t58)) % 0.48/0.69 (step @p29 :rule cong :premises (@p28) :args (@t60)) % 0.48/0.69 (step @p30 :rule bool-impl-elim :args (@t63 @t62)) % 0.48/0.69 (step @p31 :rule cong :premises (@p30) :args (@t64)) % 0.48/0.69 (step @p32 :rule refl :args (@t65)) % 0.48/0.69 (step @p33 :rule nary_cong :premises (@p32 @p31 @p29 @p27 @p25 @p23 @p21 @p19 @p17 @p15 @p13 @p11 @p9 @p7 @p5) :args (@t66)) % 0.48/0.69 (step @p34 :rule cong :premises (@p33 @p3) :args (@t67)) % 0.48/0.69 (step @p35 :rule cong :premises (@p34) :args (@t68)) % 0.48/0.69 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.48/0.69 (step @p37 :rule not_implies_elim2 :premises (@p36)) % 0.48/0.69 (step @p38 :rule not_not_elim :premises (@p37)) % 0.48/0.69 (step @p39 :rule not_implies_elim1 :premises (@p36)) % 0.48/0.69 (step @p40 :rule and_elim :premises (@p39) :args (9)) % 0.48/0.69 (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.north tptp.north @t75))) % 0.48/0.69 (step @p42 :rule and_elim :premises (@p39) :args (2)) % 0.48/0.69 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t74))) % 0.48/0.69 (step @p44 :rule and_elim :premises (@p39) :args (5)) % 0.48/0.69 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t73))) % 0.48/0.69 (step @p46 :rule and_elim :premises (@p39) :args (10)) % 0.48/0.69 (step @p47 :rule instantiate :premises (@p46) :args ((@list tptp.south tptp.north @t72))) % 0.48/0.69 (step @p48 :rule and_elim :premises (@p39) :args (13)) % 0.48/0.69 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t71))) % 0.48/0.69 (step @p50 :rule and_elim :premises (@p39) :args (4)) % 0.48/0.69 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t70))) % 0.48/0.69 (step @p52 :rule instantiate :premises (@p40) :args ((@list tptp.south tptp.south tptp.start))) % 0.48/0.69 (step @p53 :rule and_elim :premises (@p39) :args (0)) % 0.48/0.69 (step @p54 :rule cnf_or_pos :args (@t78)) % 0.48/0.69 (step @p55 :rule reordering :premises (@p54) :args ((or @t77 @t76 (not @t78)))) % 0.48/0.69 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p52) :args (@t76 @t79 (@list @t65 @t78))) % 0.48/0.69 (step @p57 :rule cnf_or_pos :args (@t82)) % 0.48/0.69 (step @p58 :rule reordering :premises (@p57) :args ((or @t81 @t80 (not @t82)))) % 0.48/0.69 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p51) :args (@t80 @t79 (@list @t76 @t82))) % 0.48/0.69 (step @p60 :rule cnf_or_pos :args (@t85)) % 0.48/0.69 (step @p61 :rule reordering :premises (@p60) :args ((or @t84 @t83 (not @t85)))) % 0.48/0.69 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p49) :args (@t83 @t79 (@list @t80 @t85))) % 0.48/0.69 (step @p63 :rule cnf_or_pos :args (@t88)) % 0.48/0.69 (step @p64 :rule reordering :premises (@p63) :args ((or @t87 @t86 (not @t88)))) % 0.48/0.69 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p47) :args (@t86 @t79 (@list @t83 @t88))) % 0.48/0.69 (step @p66 :rule cnf_or_pos :args (@t91)) % 0.48/0.69 (step @p67 :rule reordering :premises (@p66) :args ((or @t90 @t89 (not @t91)))) % 0.48/0.69 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p45) :args (@t89 @t79 (@list @t86 @t91))) % 0.48/0.69 (step @p69 :rule cnf_or_pos :args (@t94)) % 0.48/0.69 (step @p70 :rule reordering :premises (@p69) :args ((or @t93 @t92 (not @t94)))) % 0.48/0.69 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p43) :args (@t92 @t79 (@list @t89 @t94))) % 0.48/0.69 (step @p72 :rule cnf_or_pos :args (@t98)) % 0.48/0.69 (step @p73 :rule reordering :premises (@p72) :args ((or @t97 @t96 (not @t98)))) % 0.48/0.69 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p41) :args (@t96 @t79 (@list @t92 @t98))) % 0.48/0.69 (assume-push @p81 @t69) % 0.48/0.69 (step @p76 :rule instantiate :premises (@p38) :args ((@list @t95))) % 0.48/0.69 (step-pop @p82 :rule scope :premises (@p76)) % 0.48/0.69 (step @p77 :rule process_scope :premises (@p82) :args ((not @t96))) % 0.48/0.69 (step @p79 :rule implies_elim :premises (@p77)) % 0.48/0.69 (step @p80 false :rule chain_m_resolution :premises (@p79 @p74 @p38) :args (false @t79 (@list @t96 @t69))) % 0.48/0.69 ) % 0.48/0.69 % SZS output end Proof % 0.48/0.69 % cvc5 exiting %------------------------------------------------------------------------------