%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO633-1 : TPTP v9.2.1. Released v7.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 09:13:15 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO633-1 : TPTP v9.2.1. Released v7.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.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 : Wed Jun 3 00:32:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Unsatisfiable % 0.37/0.59 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const |tptp.'E'| (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const |tptp.'LEQ'| (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const |tptp.'AP'| (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const |tptp.'0'| $$unsorted) % 0.37/0.60 (define @t1 () (@var "K" $$unsorted)) % 0.37/0.60 (define @t2 () (tptp.s |tptp.'0'|)) % 0.37/0.60 (define @t3 () (tptp.s @t2)) % 0.37/0.60 (define @t4 () (tptp.s @t3)) % 0.37/0.60 (define @t5 () (tptp.s @t4)) % 0.37/0.60 (define @t6 () (tptp.s @t5)) % 0.37/0.60 (define @t7 () (tptp.s @t6)) % 0.37/0.60 (define @t8 () (|tptp.'AP'| @t7 @t1)) % 0.37/0.60 (define @t9 () (@var "A_1" $$unsorted)) % 0.37/0.60 (define @t10 () (not (|tptp.'E'| (tptp.f @t9) @t4))) % 0.37/0.60 (define @t11 () (@var "B_0" $$unsorted)) % 0.37/0.60 (define @t12 () (tptp.f @t11)) % 0.37/0.60 (define @t13 () (not (|tptp.'E'| @t12 @t6))) % 0.37/0.60 (define @t14 () (@var "A_0" $$unsorted)) % 0.37/0.60 (define @t15 () (not (|tptp.'E'| (tptp.f @t14) @t5))) % 0.37/0.60 (define @t16 () (@list @t14 @t11 @t9 @t1)) % 0.37/0.60 (define @t17 () (@var "A_2" $$unsorted)) % 0.37/0.60 (define @t18 () (not (|tptp.'E'| (tptp.f @t17) @t3))) % 0.37/0.60 (define @t19 () (@list @t14 @t11 @t9 @t17 @t1)) % 0.37/0.60 (define @t20 () (@var "A_4" $$unsorted)) % 0.37/0.60 (define @t21 () (not (|tptp.'E'| (tptp.f @t20) |tptp.'0'|))) % 0.37/0.60 (define @t22 () (@var "A_3" $$unsorted)) % 0.37/0.60 (define @t23 () (not (|tptp.'E'| (tptp.f @t22) @t2))) % 0.37/0.60 (define @t24 () (forall (@list @t17 @t14 @t9 @t22 @t20 @t11) (or @t18 @t15 @t10 @t23 @t21 @t13))) % 0.37/0.60 (define @t25 () (@list @t11)) % 0.37/0.60 (define @t26 () (@var "B" $$unsorted)) % 0.37/0.60 (define @t27 () (tptp.f @t8)) % 0.37/0.60 (define @t28 () (|tptp.'E'| @t27 |tptp.'0'|)) % 0.37/0.60 (define @t29 () (@list @t17 @t14 @t9 @t22 @t11 @t1)) % 0.37/0.60 (define @t30 () (forall @t29 (or @t18 @t15 @t10 @t23 @t13 @t28))) % 0.37/0.60 (define @t31 () (|tptp.'E'| @t27 @t2)) % 0.37/0.60 (define @t32 () (forall @t19 (or @t15 @t13 @t10 @t18 @t31))) % 0.37/0.60 (define @t33 () (|tptp.'E'| @t12 @t4)) % 0.37/0.60 (define @t34 () (or @t15 @t13 @t33)) % 0.37/0.60 (define @t35 () (@list @t14 @t11)) % 0.37/0.60 (define @t36 () (forall @t35 @t34)) % 0.37/0.60 (define @t37 () (|tptp.'E'| @t27 @t3)) % 0.37/0.60 (define @t38 () (forall @t16 (or @t15 @t13 @t10 @t37))) % 0.37/0.60 (define @t39 () (|tptp.'LEQ'| (|tptp.'AP'| |tptp.'0'| @t1) @t8)) % 0.37/0.60 (define @t40 () (@list @t1)) % 0.37/0.60 (define @t41 () (@quantifiers_skolemize (forall @t40 @t39) 0)) % 0.37/0.60 (define @t42 () (|tptp.'AP'| @t7 @t41)) % 0.37/0.60 (define @t43 () (@list @t42)) % 0.37/0.60 (define @t44 () (or @t13 @t33)) % 0.37/0.60 (define @t45 () (forall @t25 @t44)) % 0.37/0.60 (define @t46 () (forall (@list @t14) @t15)) % 0.37/0.60 (define @t47 () (or @t15 @t44)) % 0.37/0.60 (define @t48 () (@quantifiers_skolemize @t46 0)) % 0.37/0.60 (define @t49 () (@list @t48)) % 0.37/0.60 (define @t50 () (tptp.f @t48)) % 0.37/0.60 (define @t51 () (|tptp.'E'| @t50 @t4)) % 0.37/0.60 (define @t52 () (|tptp.'E'| @t50 @t6)) % 0.37/0.60 (define @t53 () (not @t52)) % 0.37/0.60 (define @t54 () (or @t53 @t51)) % 0.37/0.60 (define @t55 () (forall (@list @t9) @t10)) % 0.37/0.60 (define @t56 () (forall @t25 @t13)) % 0.37/0.60 (define @t57 () (forall @t40 @t37)) % 0.37/0.60 (define @t58 () (forall @t40 @t31)) % 0.37/0.60 (define @t59 () (@quantifiers_skolemize @t58 0)) % 0.37/0.60 (define @t60 () (|tptp.'AP'| @t7 @t59)) % 0.37/0.60 (define @t61 () (|tptp.'E'| (tptp.f @t60) @t3)) % 0.37/0.60 (define @t62 () (forall (@list @t17) @t18)) % 0.37/0.60 (define @t63 () (@list @t41)) % 0.37/0.60 (define @t64 () (tptp.f @t42)) % 0.37/0.60 (define @t65 () (|tptp.'E'| @t64 @t2)) % 0.37/0.60 (define @t66 () (forall (@list @t22) @t23)) % 0.37/0.60 (define @t67 () (forall (@list @t20) @t21)) % 0.37/0.60 (define @t68 () (forall @t40 @t28)) % 0.37/0.60 (define @t69 () (|tptp.'E'| @t64 |tptp.'0'|)) % 0.37/0.60 (define @t70 () (|tptp.'E'| @t64 @t5)) % 0.37/0.60 (assume @p1 (forall @t16 (or @t15 @t13 @t10 (|tptp.'LEQ'| (|tptp.'AP'| @t3 @t1) @t8)))) % 0.37/0.60 (assume @p2 (forall @t19 (or @t15 @t13 @t10 @t18 (|tptp.'LEQ'| (|tptp.'AP'| @t2 @t1) @t8)))) % 0.37/0.60 (assume @p3 @t24) % 0.37/0.60 (assume @p4 (forall @t25 (|tptp.'E'| @t12 @t5))) % 0.37/0.60 (assume @p5 (forall (@list @t26) (|tptp.'E'| (tptp.f @t26) @t6))) % 0.37/0.60 (assume @p6 (forall (@list @t1 @t11) (|tptp.'LEQ'| (|tptp.'AP'| @t5 @t1) @t11))) % 0.37/0.60 (assume @p7 @t30) % 0.37/0.60 (assume @p8 (forall (@list @t1 @t26) (|tptp.'LEQ'| (|tptp.'AP'| @t6 @t1) @t26))) % 0.37/0.60 (assume @p9 @t32) % 0.37/0.60 (assume @p10 @t36) % 0.37/0.60 (assume @p11 (forall (@list @t14 @t11 @t1) (or @t15 @t13 (|tptp.'LEQ'| (|tptp.'AP'| @t4 @t1) @t11)))) % 0.37/0.60 (assume @p12 @t38) % 0.37/0.60 (assume @p13 (forall @t29 (or @t18 @t15 @t10 @t23 @t13 @t39))) % 0.37/0.60 (step @p14 :rule instantiate :premises (@p4) :args (@t43)) % 0.37/0.60 (step @p15 :rule quant-miniscope-or :args ((= (forall @t35 @t47) (or @t46 @t45)))) % 0.37/0.60 (step @p16 :rule aci_norm :args ((= @t34 @t47))) % 0.37/0.60 (step @p17 :rule cong :premises (@p16) :args (@t36)) % 0.37/0.60 (step @p18 :rule trans :premises (@p17 @p15)) % 0.37/0.60 (step @p19 :rule eq_resolve :premises (@p10 @p18)) % 0.37/0.60 (assume-push @p86 @t45) % 0.37/0.60 (step @p21 :rule instantiate :premises (@p86) :args (@t49)) % 0.37/0.60 (step-pop @p87 :rule scope :premises (@p21)) % 0.37/0.60 (step @p22 :rule process_scope :premises (@p87) :args (@t54)) % 0.37/0.60 (step @p24 :rule implies_elim :premises (@p22)) % 0.37/0.60 (step @p25 :rule instantiate :premises (@p5) :args (@t49)) % 0.37/0.60 (step @p26 :rule cnf_or_pos :args (@t54)) % 0.37/0.60 (step @p27 :rule reordering :premises (@p26) :args ((or @t53 @t51 (not @t54)))) % 0.37/0.60 (assume-push @p88 @t55) % 0.37/0.60 (step @p29 :rule instantiate :premises (@p88) :args (@t49)) % 0.37/0.60 (step-pop @p89 :rule scope :premises (@p29)) % 0.37/0.60 (step @p30 :rule process_scope :premises (@p89) :args ((not @t51))) % 0.37/0.60 (step @p32 :rule implies_elim :premises (@p30)) % 0.37/0.60 (assume-push @p90 @t56) % 0.37/0.60 (step @p34 :rule instantiate :premises (@p90) :args (@t49)) % 0.37/0.60 (step-pop @p91 :rule scope :premises (@p34)) % 0.37/0.60 (step @p35 :rule process_scope :premises (@p91) :args (@t53)) % 0.37/0.60 (step @p37 :rule implies_elim :premises (@p35)) % 0.37/0.60 (step @p38 :rule chain_m_resolution :premises (@p37 @p25) :args ((not @t56) (@list false) (@list @t52))) % 0.37/0.60 (step @p39 :rule quant-miniscope-or :args ((= @t38 (or @t46 @t56 @t55 @t57)))) % 0.37/0.60 (step @p40 :rule eq_resolve :premises (@p12 @p39)) % 0.37/0.60 (assume-push @p92 @t57) % 0.37/0.60 (step @p42 :rule instantiate :premises (@p92) :args ((@list @t59))) % 0.37/0.60 (step-pop @p93 :rule scope :premises (@p42)) % 0.37/0.60 (step @p43 :rule process_scope :premises (@p93) :args (@t61)) % 0.37/0.60 (step @p45 :rule implies_elim :premises (@p43)) % 0.37/0.60 (assume-push @p94 @t62) % 0.37/0.60 (step @p47 :rule instantiate :premises (@p94) :args ((@list @t60))) % 0.37/0.60 (step-pop @p95 :rule scope :premises (@p47)) % 0.37/0.60 (step @p48 :rule process_scope :premises (@p95) :args ((not @t61))) % 0.37/0.60 (step @p50 :rule implies_elim :premises (@p48)) % 0.37/0.60 (step @p51 :rule quant-miniscope-or :args ((= @t32 (or @t46 @t56 @t55 @t62 @t58)))) % 0.37/0.60 (step @p52 :rule eq_resolve :premises (@p9 @p51)) % 0.37/0.60 (assume-push @p96 @t58) % 0.37/0.60 (step @p54 :rule instantiate :premises (@p96) :args (@t63)) % 0.37/0.60 (step-pop @p97 :rule scope :premises (@p54)) % 0.37/0.60 (step @p55 :rule process_scope :premises (@p97) :args (@t65)) % 0.37/0.60 (step @p57 :rule implies_elim :premises (@p55)) % 0.37/0.60 (assume-push @p98 @t66) % 0.37/0.60 (step @p59 :rule instantiate :premises (@p98) :args (@t43)) % 0.37/0.60 (step-pop @p99 :rule scope :premises (@p59)) % 0.37/0.60 (step @p60 :rule process_scope :premises (@p99) :args ((not @t65))) % 0.37/0.60 (step @p62 :rule implies_elim :premises (@p60)) % 0.37/0.60 (step @p63 :rule quant-miniscope-or :args ((= @t24 (or @t62 @t46 @t55 @t66 @t67 @t56)))) % 0.37/0.60 (step @p64 :rule eq_resolve :premises (@p3 @p63)) % 0.37/0.60 (step @p65 :rule reordering :premises (@p64) :args ((or @t46 @t56 @t55 @t62 @t66 @t67))) % 0.37/0.60 (step @p66 :rule quant-miniscope-or :args ((= @t30 (or @t62 @t46 @t55 @t66 @t56 @t68)))) % 0.37/0.60 (step @p67 :rule eq_resolve :premises (@p7 @p66)) % 0.37/0.60 (step @p68 :rule reordering :premises (@p67) :args ((or @t46 @t56 @t55 @t62 @t66 @t68))) % 0.37/0.60 (assume-push @p100 @t67) % 0.37/0.60 (step @p70 :rule instantiate :premises (@p100) :args (@t43)) % 0.37/0.60 (step-pop @p101 :rule scope :premises (@p70)) % 0.37/0.60 (step @p71 :rule process_scope :premises (@p101) :args ((not @t69))) % 0.37/0.60 (step @p73 :rule implies_elim :premises (@p71)) % 0.37/0.60 (assume-push @p102 @t68) % 0.37/0.60 (step @p75 :rule instantiate :premises (@p102) :args (@t63)) % 0.37/0.60 (step-pop @p103 :rule scope :premises (@p75)) % 0.37/0.60 (step @p76 :rule process_scope :premises (@p103) :args (@t69)) % 0.37/0.60 (step @p78 :rule implies_elim :premises (@p76)) % 0.37/0.60 (step @p79 :rule chain_m_resolution :premises (@p78 @p73 @p68 @p38 @p65 @p38 @p62 @p57 @p52 @p38 @p50 @p45 @p40 @p38 @p32 @p27 @p25 @p24 @p19) :args (@t46 (@list true false true false true true false false true true false false true true false false false false) (@list @t69 @t68 @t56 @t67 @t56 @t66 @t65 @t58 @t56 @t62 @t61 @t57 @t56 @t55 @t51 @t52 @t54 @t45))) % 0.37/0.60 (assume-push @p104 @t46) % 0.37/0.60 (step @p81 :rule instantiate :premises (@p104) :args (@t43)) % 0.37/0.60 (step-pop @p105 :rule scope :premises (@p81)) % 0.37/0.60 (step @p82 :rule process_scope :premises (@p105) :args ((not @t70))) % 0.37/0.60 (step @p84 :rule implies_elim :premises (@p82)) % 0.37/0.60 (step @p85 false :rule chain_m_resolution :premises (@p84 @p79 @p14) :args (false (@list false false) (@list @t46 @t70))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------