%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL098-1 : 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 : n025.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 08:09:58 AM UTC 2026 % Result : Unsatisfiable 2.52s 2.77s % Output : Proof 2.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : COL098-1 : TPTP v9.2.1. Released v2.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n025.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Mon Jun 1 20:25:16 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.52/2.77 % SZS status Unsatisfiable % 2.52/2.77 % SZS output start Proof % 2.52/2.77 ( % 2.52/2.77 (declare-sort $$unsorted 0) % 2.52/2.77 (declare-const tptp.sk3 $$unsorted) % 2.52/2.77 (declare-const tptp.combS $$unsorted) % 2.52/2.77 (declare-const tptp.sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.52/2.77 (declare-const tptp.z $$unsorted) % 2.52/2.77 (declare-const tptp.trans (-> $$unsorted Bool)) % 2.52/2.77 (declare-const tptp.combK $$unsorted) % 2.52/2.77 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 2.52/2.77 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 2.52/2.77 (declare-const tptp.x $$unsorted) % 2.52/2.77 (declare-const tptp.r $$unsorted) % 2.52/2.77 (declare-const tptp.comb_app (-> $$unsorted $$unsorted $$unsorted)) % 2.52/2.77 (declare-const tptp.y $$unsorted) % 2.52/2.77 (declare-const tptp.trancl (-> $$unsorted $$unsorted)) % 2.52/2.77 (declare-const tptp.sk2 (-> $$unsorted $$unsorted)) % 2.52/2.77 (define @t1 () (@var "Q" $$unsorted)) % 2.52/2.77 (define @t2 () (@var "P" $$unsorted)) % 2.52/2.77 (define @t3 () (tptp.comb_app @t2 @t1)) % 2.52/2.77 (define @t4 () (@list @t2 @t1)) % 2.52/2.77 (define @t5 () (@var "P2" $$unsorted)) % 2.52/2.77 (define @t6 () (@var "P1" $$unsorted)) % 2.52/2.77 (define @t7 () (= @t6 @t5)) % 2.52/2.77 (define @t8 () (@var "Q2" $$unsorted)) % 2.52/2.77 (define @t9 () (@var "Q1" $$unsorted)) % 2.52/2.77 (define @t10 () (= (tptp.comb_app @t6 @t9) (tptp.comb_app @t5 @t8))) % 2.52/2.77 (define @t11 () (not @t10)) % 2.52/2.77 (define @t12 () (@list @t6 @t9 @t5 @t8)) % 2.52/2.77 (define @t13 () (= @t9 @t8)) % 2.52/2.77 (define @t14 () (@var "R" $$unsorted)) % 2.52/2.77 (define @t15 () (tptp.trancl @t14)) % 2.52/2.77 (define @t16 () (@var "B" $$unsorted)) % 2.52/2.77 (define @t17 () (@var "A" $$unsorted)) % 2.52/2.77 (define @t18 () (tptp.pair @t17 @t16)) % 2.52/2.77 (define @t19 () (not (tptp.member @t18 @t14))) % 2.52/2.77 (define @t20 () (@var "C" $$unsorted)) % 2.52/2.77 (define @t21 () (forall (@list @t14 @t17 @t16 @t20) (or (not (tptp.trans @t14)) @t19 (not (tptp.member (tptp.pair @t16 @t20) @t14)) (tptp.member (tptp.pair @t17 @t20) @t14)))) % 2.52/2.77 (define @t22 () (@var "YP" $$unsorted)) % 2.52/2.77 (define @t23 () (@var "Y" $$unsorted)) % 2.52/2.77 (define @t24 () (@var "X" $$unsorted)) % 2.52/2.77 (define @t25 () (tptp.sk1 @t24 @t23 @t22)) % 2.52/2.77 (define @t26 () (not (tptp.member (tptp.pair @t24 @t22) tptp.r))) % 2.52/2.77 (define @t27 () (not (tptp.member (tptp.pair @t24 @t23) tptp.r))) % 2.52/2.77 (define @t28 () (@list @t24 @t23 @t22)) % 2.52/2.77 (define @t29 () (tptp.trancl tptp.r)) % 2.52/2.77 (define @t30 () (tptp.member (tptp.pair tptp.y tptp.z) tptp.r)) % 2.52/2.77 (define @t31 () (tptp.sk2 @t22)) % 2.52/2.77 (define @t32 () (not (tptp.member (tptp.pair tptp.x @t22) tptp.r))) % 2.52/2.77 (define @t33 () (@list @t22)) % 2.52/2.77 (define @t34 () (tptp.member (tptp.pair tptp.x tptp.sk3) tptp.r)) % 2.52/2.77 (define @t35 () (@var "ZA" $$unsorted)) % 2.52/2.77 (define @t36 () (tptp.sk2 tptp.sk3)) % 2.52/2.77 (define @t37 () (tptp.sk1 tptp.y tptp.z @t36)) % 2.52/2.77 (define @t38 () (@list tptp.y tptp.z @t36)) % 2.52/2.77 (define @t39 () (@list tptp.sk3)) % 2.52/2.77 (define @t40 () (tptp.member (tptp.pair tptp.y @t36) tptp.r)) % 2.52/2.77 (define @t41 () (not @t34)) % 2.52/2.77 (define @t42 () (or @t41 @t40)) % 2.52/2.77 (define @t43 () (@list false false)) % 2.52/2.77 (define @t44 () (tptp.pair @t36 @t37)) % 2.52/2.77 (define @t45 () (tptp.member @t44 tptp.r)) % 2.52/2.77 (define @t46 () (not @t40)) % 2.52/2.77 (define @t47 () (not @t30)) % 2.52/2.77 (define @t48 () (or @t47 @t46 @t45)) % 2.52/2.77 (define @t49 () (@list false false false)) % 2.52/2.77 (define @t50 () (tptp.member @t44 @t29)) % 2.52/2.77 (define @t51 () (not @t45)) % 2.52/2.77 (define @t52 () (or @t51 @t50)) % 2.52/2.77 (define @t53 () (tptp.member (tptp.pair tptp.z @t37) tptp.r)) % 2.52/2.77 (define @t54 () (or @t47 @t46 @t53)) % 2.52/2.77 (define @t55 () (not @t53)) % 2.52/2.77 (define @t56 () (tptp.member (tptp.pair tptp.sk3 @t37) @t29)) % 2.52/2.77 (define @t57 () (not @t56)) % 2.52/2.77 (define @t58 () (or @t57 @t55)) % 2.52/2.77 (define @t59 () (tptp.member (tptp.pair tptp.sk3 @t36) @t29)) % 2.52/2.77 (define @t60 () (or @t41 @t59)) % 2.52/2.77 (define @t61 () (not @t50)) % 2.52/2.77 (define @t62 () (not @t59)) % 2.52/2.77 (define @t63 () (tptp.trans @t29)) % 2.52/2.77 (define @t64 () (not @t63)) % 2.52/2.77 (define @t65 () (or @t64 @t62 @t61 @t56)) % 2.52/2.77 (define @t66 () (not @t65)) % 2.52/2.77 (assume @p1 (not (= tptp.combK tptp.combS))) % 2.52/2.77 (assume @p2 (forall @t4 (not (= tptp.combK @t3)))) % 2.52/2.77 (assume @p3 (forall @t4 (not (= tptp.combS @t3)))) % 2.52/2.77 (assume @p4 (forall @t12 (or @t11 @t7))) % 2.52/2.77 (assume @p5 (forall @t12 (or @t11 @t13))) % 2.52/2.77 (assume @p6 (forall (@list @t6 @t5 @t9 @t8) (or (not @t7) (not @t13) @t10))) % 2.52/2.77 (assume @p7 (forall (@list @t17 @t16 @t14) (or @t19 (tptp.member @t18 @t15)))) % 2.52/2.77 (assume @p8 (forall (@list @t14) (tptp.trans @t15))) % 2.52/2.77 (assume @p9 @t21) % 2.52/2.77 (assume @p10 (forall @t28 (or @t27 @t26 (tptp.member (tptp.pair @t23 @t25) tptp.r)))) % 2.52/2.77 (assume @p11 (forall @t28 (or @t27 @t26 (tptp.member (tptp.pair @t22 @t25) tptp.r)))) % 2.52/2.77 (assume @p12 (tptp.member (tptp.pair tptp.x tptp.y) @t29)) % 2.52/2.77 (assume @p13 @t30) % 2.52/2.77 (assume @p14 (forall @t33 (or @t32 (tptp.member (tptp.pair @t22 @t31) @t29)))) % 2.52/2.77 (assume @p15 (forall @t33 (or @t32 (tptp.member (tptp.pair tptp.y @t31) tptp.r)))) % 2.52/2.77 (assume @p16 @t34) % 2.52/2.77 (assume @p17 (forall (@list @t35) (or (not (tptp.member (tptp.pair tptp.sk3 @t35) @t29)) (not (tptp.member (tptp.pair tptp.z @t35) tptp.r))))) % 2.52/2.77 (step @p18 :rule instantiate :premises (@p7) :args ((@list @t36 @t37 tptp.r))) % 2.52/2.77 (step @p19 :rule instantiate :premises (@p11) :args (@t38)) % 2.52/2.77 (step @p20 :rule instantiate :premises (@p15) :args (@t39)) % 2.52/2.77 (step @p21 :rule cnf_or_pos :args (@t42)) % 2.52/2.77 (step @p22 :rule reordering :premises (@p21) :args ((or @t41 @t40 (not @t42)))) % 2.52/2.77 (step @p23 :rule chain_m_resolution :premises (@p22 @p16 @p20) :args (@t40 @t43 (@list @t34 @t42))) % 2.52/2.77 (step @p24 :rule cnf_or_pos :args (@t48)) % 2.52/2.77 (step @p25 :rule reordering :premises (@p24) :args ((or @t47 @t46 @t45 (not @t48)))) % 2.52/2.77 (step @p26 :rule chain_m_resolution :premises (@p25 @p13 @p23 @p19) :args (@t45 @t49 (@list @t30 @t40 @t48))) % 2.52/2.77 (step @p27 :rule cnf_or_pos :args (@t52)) % 2.52/2.77 (step @p28 :rule reordering :premises (@p27) :args ((or @t51 @t50 (not @t52)))) % 2.52/2.77 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p18) :args (@t50 @t43 (@list @t45 @t52))) % 2.52/2.77 (step @p30 :rule instantiate :premises (@p17) :args ((@list @t37))) % 2.52/2.77 (step @p31 :rule instantiate :premises (@p10) :args (@t38)) % 2.52/2.77 (step @p32 :rule cnf_or_pos :args (@t54)) % 2.52/2.77 (step @p33 :rule reordering :premises (@p32) :args ((or @t47 @t46 @t53 (not @t54)))) % 2.52/2.77 (step @p34 :rule chain_m_resolution :premises (@p33 @p13 @p23 @p31) :args (@t53 @t49 (@list @t30 @t40 @t54))) % 2.52/2.77 (step @p35 :rule cnf_or_pos :args (@t58)) % 2.52/2.77 (step @p36 :rule reordering :premises (@p35) :args ((or @t55 @t57 (not @t58)))) % 2.52/2.77 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30) :args (@t57 @t43 (@list @t53 @t58))) % 2.52/2.77 (step @p38 :rule instantiate :premises (@p14) :args (@t39)) % 2.52/2.77 (step @p39 :rule cnf_or_pos :args (@t60)) % 2.52/2.77 (step @p40 :rule reordering :premises (@p39) :args ((or @t41 @t59 (not @t60)))) % 2.52/2.77 (step @p41 :rule chain_m_resolution :premises (@p40 @p16 @p38) :args (@t59 @t43 (@list @t34 @t60))) % 2.52/2.77 (step @p42 :rule instantiate :premises (@p8) :args ((@list tptp.r))) % 2.52/2.77 (step @p43 :rule cnf_or_pos :args (@t65)) % 2.52/2.77 (step @p44 :rule reordering :premises (@p43) :args ((or @t64 @t62 @t56 @t61 @t66))) % 2.52/2.77 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p41 @p37 @p29) :args (@t66 (@list false false true false) (@list @t63 @t59 @t56 @t50))) % 2.52/2.77 (assume-push @p52 @t21) % 2.52/2.77 (step @p47 :rule instantiate :premises (@p9) :args ((@list @t29 tptp.sk3 @t36 @t37))) % 2.52/2.77 (step-pop @p53 :rule scope :premises (@p47)) % 2.52/2.77 (step @p48 :rule process_scope :premises (@p53) :args (@t65)) % 2.52/2.77 (step @p50 :rule implies_elim :premises (@p48)) % 2.52/2.77 (step @p51 false :rule chain_m_resolution :premises (@p50 @p45 @p9) :args (false (@list true false) (@list @t65 @t21))) % 2.52/2.77 ) % 2.52/2.78 % SZS output end Proof % 2.52/2.78 % cvc5 exiting %------------------------------------------------------------------------------