%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL100-1 : 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 : n016.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 08:09:59 AM UTC 2026 % Result : Unsatisfiable 0.96s 1.15s % Output : Proof 0.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL100-1 : 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 : n016.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 : Mon Jun 1 20:24:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.96/1.15 % SZS status Unsatisfiable % 0.96/1.15 % SZS output start Proof % 0.96/1.15 ( % 0.96/1.15 (declare-sort $$unsorted 0) % 0.96/1.15 (declare-const tptp.yp $$unsorted) % 0.96/1.15 (declare-const tptp.sk1 (-> $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.combS $$unsorted) % 0.96/1.15 (declare-const tptp.comb_app (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.ya $$unsorted) % 0.96/1.15 (declare-const tptp.trancl (-> $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.trans (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.r $$unsorted) % 0.96/1.15 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.diamond (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.combK $$unsorted) % 0.96/1.15 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.y $$unsorted) % 0.96/1.15 (declare-const tptp.diamond_strip_lemmaD_sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.z $$unsorted) % 0.96/1.15 (define @t1 () (@var "Q" $$unsorted)) % 0.96/1.15 (define @t2 () (@var "P" $$unsorted)) % 0.96/1.15 (define @t3 () (tptp.comb_app @t2 @t1)) % 0.96/1.15 (define @t4 () (@list @t2 @t1)) % 0.96/1.15 (define @t5 () (@var "P2" $$unsorted)) % 0.96/1.15 (define @t6 () (@var "P1" $$unsorted)) % 0.96/1.15 (define @t7 () (= @t6 @t5)) % 0.96/1.15 (define @t8 () (@var "Q2" $$unsorted)) % 0.96/1.15 (define @t9 () (@var "Q1" $$unsorted)) % 0.96/1.15 (define @t10 () (= (tptp.comb_app @t6 @t9) (tptp.comb_app @t5 @t8))) % 0.96/1.15 (define @t11 () (not @t10)) % 0.96/1.15 (define @t12 () (@list @t6 @t9 @t5 @t8)) % 0.96/1.15 (define @t13 () (= @t9 @t8)) % 0.96/1.15 (define @t14 () (@var "R" $$unsorted)) % 0.96/1.15 (define @t15 () (tptp.trancl @t14)) % 0.96/1.15 (define @t16 () (@var "B" $$unsorted)) % 0.96/1.15 (define @t17 () (@var "A" $$unsorted)) % 0.96/1.15 (define @t18 () (tptp.pair @t17 @t16)) % 0.96/1.15 (define @t19 () (not (tptp.member @t18 @t14))) % 0.96/1.15 (define @t20 () (@var "C" $$unsorted)) % 0.96/1.15 (define @t21 () (forall (@list @t14 @t17 @t16 @t20) (or (not (tptp.trans @t14)) @t19 (not (tptp.member (tptp.pair @t16 @t20) @t14)) (tptp.member (tptp.pair @t17 @t20) @t14)))) % 0.96/1.15 (define @t22 () (@var "YP" $$unsorted)) % 0.96/1.15 (define @t23 () (@var "Y" $$unsorted)) % 0.96/1.15 (define @t24 () (@var "X" $$unsorted)) % 0.96/1.15 (define @t25 () (tptp.diamond_strip_lemmaD_sk1 @t24 @t23 @t22 @t14)) % 0.96/1.15 (define @t26 () (not (tptp.member (tptp.pair @t24 @t22) @t14))) % 0.96/1.15 (define @t27 () (not (tptp.member (tptp.pair @t24 @t23) @t15))) % 0.96/1.15 (define @t28 () (not (tptp.diamond @t14))) % 0.96/1.15 (define @t29 () (@list @t14 @t24 @t23 @t22)) % 0.96/1.15 (define @t30 () (tptp.diamond tptp.r)) % 0.96/1.15 (define @t31 () (tptp.trancl tptp.r)) % 0.96/1.15 (define @t32 () (tptp.member (tptp.pair tptp.ya tptp.z) tptp.r)) % 0.96/1.15 (define @t33 () (tptp.sk1 @t22)) % 0.96/1.15 (define @t34 () (not (tptp.member (tptp.pair tptp.y @t22) @t31))) % 0.96/1.15 (define @t35 () (@list @t22)) % 0.96/1.15 (define @t36 () (tptp.member (tptp.pair tptp.y tptp.yp) @t31)) % 0.96/1.15 (define @t37 () (@var "ZA" $$unsorted)) % 0.96/1.15 (define @t38 () (tptp.sk1 tptp.yp)) % 0.96/1.15 (define @t39 () (tptp.diamond_strip_lemmaD_sk1 tptp.ya @t38 tptp.z tptp.r)) % 0.96/1.15 (define @t40 () (@list tptp.r tptp.ya @t38 tptp.z)) % 0.96/1.15 (define @t41 () (@list tptp.yp)) % 0.96/1.15 (define @t42 () (tptp.member (tptp.pair tptp.ya @t38) @t31)) % 0.96/1.15 (define @t43 () (not @t36)) % 0.96/1.15 (define @t44 () (or @t43 @t42)) % 0.96/1.15 (define @t45 () (@list false false)) % 0.96/1.15 (define @t46 () (tptp.pair @t38 @t39)) % 0.96/1.15 (define @t47 () (tptp.member @t46 tptp.r)) % 0.96/1.15 (define @t48 () (not @t32)) % 0.96/1.15 (define @t49 () (not @t42)) % 0.96/1.15 (define @t50 () (not @t30)) % 0.96/1.15 (define @t51 () (or @t50 @t49 @t48 @t47)) % 0.96/1.15 (define @t52 () (@list false false false false)) % 0.96/1.15 (define @t53 () (tptp.member @t46 @t31)) % 0.96/1.15 (define @t54 () (not @t47)) % 0.96/1.15 (define @t55 () (or @t54 @t53)) % 0.96/1.15 (define @t56 () (tptp.member (tptp.pair tptp.z @t39) @t31)) % 0.96/1.15 (define @t57 () (or @t50 @t49 @t48 @t56)) % 0.96/1.15 (define @t58 () (tptp.member (tptp.pair tptp.yp @t39) @t31)) % 0.96/1.15 (define @t59 () (not @t58)) % 0.96/1.15 (define @t60 () (not @t56)) % 0.96/1.15 (define @t61 () (or @t60 @t59)) % 0.96/1.15 (define @t62 () (tptp.member (tptp.pair tptp.yp @t38) @t31)) % 0.96/1.15 (define @t63 () (or @t43 @t62)) % 0.96/1.15 (define @t64 () (not @t53)) % 0.96/1.15 (define @t65 () (not @t62)) % 0.96/1.15 (define @t66 () (tptp.trans @t31)) % 0.96/1.15 (define @t67 () (not @t66)) % 0.96/1.15 (define @t68 () (or @t67 @t65 @t64 @t58)) % 0.96/1.15 (define @t69 () (not @t68)) % 0.96/1.15 (assume @p1 (not (= tptp.combK tptp.combS))) % 0.96/1.15 (assume @p2 (forall @t4 (not (= tptp.combK @t3)))) % 0.96/1.15 (assume @p3 (forall @t4 (not (= tptp.combS @t3)))) % 0.96/1.15 (assume @p4 (forall @t12 (or @t11 @t7))) % 0.96/1.15 (assume @p5 (forall @t12 (or @t11 @t13))) % 0.96/1.15 (assume @p6 (forall (@list @t6 @t5 @t9 @t8) (or (not @t7) (not @t13) @t10))) % 0.96/1.15 (assume @p7 (forall (@list @t17 @t16 @t14) (or @t19 (tptp.member @t18 @t15)))) % 0.96/1.16 (assume @p8 (forall (@list @t14) (tptp.trans @t15))) % 0.96/1.16 (assume @p9 @t21) % 0.96/1.16 (assume @p10 (forall @t29 (or @t28 @t27 @t26 (tptp.member (tptp.pair @t22 @t25) @t15)))) % 0.96/1.16 (assume @p11 (forall @t29 (or @t28 @t27 @t26 (tptp.member (tptp.pair @t23 @t25) @t14)))) % 0.96/1.16 (assume @p12 @t30) % 0.96/1.16 (assume @p13 (tptp.member (tptp.pair tptp.y tptp.ya) @t31)) % 0.96/1.16 (assume @p14 @t32) % 0.96/1.16 (assume @p15 (forall @t35 (or @t34 (tptp.member (tptp.pair tptp.ya @t33) @t31)))) % 0.96/1.16 (assume @p16 (forall @t35 (or @t34 (tptp.member (tptp.pair @t22 @t33) @t31)))) % 0.96/1.16 (assume @p17 @t36) % 0.96/1.16 (assume @p18 (forall (@list @t37) (or (not (tptp.member (tptp.pair tptp.z @t37) @t31)) (not (tptp.member (tptp.pair tptp.yp @t37) @t31))))) % 0.96/1.16 (step @p19 :rule instantiate :premises (@p7) :args ((@list @t38 @t39 tptp.r))) % 0.96/1.16 (step @p20 :rule instantiate :premises (@p11) :args (@t40)) % 0.96/1.16 (step @p21 :rule instantiate :premises (@p15) :args (@t41)) % 0.96/1.16 (step @p22 :rule cnf_or_pos :args (@t44)) % 0.96/1.16 (step @p23 :rule reordering :premises (@p22) :args ((or @t43 @t42 (not @t44)))) % 0.96/1.16 (step @p24 :rule chain_m_resolution :premises (@p23 @p17 @p21) :args (@t42 @t45 (@list @t36 @t44))) % 0.96/1.16 (step @p25 :rule cnf_or_pos :args (@t51)) % 0.96/1.16 (step @p26 :rule reordering :premises (@p25) :args ((or @t50 @t48 @t49 @t47 (not @t51)))) % 0.96/1.16 (step @p27 :rule chain_m_resolution :premises (@p26 @p12 @p14 @p24 @p20) :args (@t47 @t52 (@list @t30 @t32 @t42 @t51))) % 0.96/1.16 (step @p28 :rule cnf_or_pos :args (@t55)) % 0.96/1.16 (step @p29 :rule reordering :premises (@p28) :args ((or @t54 @t53 (not @t55)))) % 0.96/1.16 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p19) :args (@t53 @t45 (@list @t47 @t55))) % 0.96/1.16 (step @p31 :rule instantiate :premises (@p18) :args ((@list @t39))) % 0.96/1.16 (step @p32 :rule instantiate :premises (@p10) :args (@t40)) % 0.96/1.16 (step @p33 :rule cnf_or_pos :args (@t57)) % 0.96/1.16 (step @p34 :rule reordering :premises (@p33) :args ((or @t50 @t48 @t49 @t56 (not @t57)))) % 0.96/1.16 (step @p35 :rule chain_m_resolution :premises (@p34 @p12 @p14 @p24 @p32) :args (@t56 @t52 (@list @t30 @t32 @t42 @t57))) % 0.96/1.16 (step @p36 :rule cnf_or_pos :args (@t61)) % 0.96/1.16 (step @p37 :rule reordering :premises (@p36) :args ((or @t60 @t59 (not @t61)))) % 0.96/1.16 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p31) :args (@t59 @t45 (@list @t56 @t61))) % 0.96/1.16 (step @p39 :rule instantiate :premises (@p16) :args (@t41)) % 0.96/1.16 (step @p40 :rule cnf_or_pos :args (@t63)) % 0.96/1.16 (step @p41 :rule reordering :premises (@p40) :args ((or @t43 @t62 (not @t63)))) % 0.96/1.16 (step @p42 :rule chain_m_resolution :premises (@p41 @p17 @p39) :args (@t62 @t45 (@list @t36 @t63))) % 0.96/1.16 (step @p43 :rule instantiate :premises (@p8) :args ((@list tptp.r))) % 0.96/1.16 (step @p44 :rule cnf_or_pos :args (@t68)) % 0.96/1.16 (step @p45 :rule reordering :premises (@p44) :args ((or @t67 @t65 @t58 @t64 @t69))) % 0.96/1.16 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42 @p38 @p30) :args (@t69 (@list false false true false) (@list @t66 @t62 @t58 @t53))) % 0.96/1.16 (assume-push @p53 @t21) % 0.96/1.16 (step @p48 :rule instantiate :premises (@p9) :args ((@list @t31 tptp.yp @t38 @t39))) % 0.96/1.16 (step-pop @p54 :rule scope :premises (@p48)) % 0.96/1.16 (step @p49 :rule process_scope :premises (@p54) :args (@t68)) % 0.96/1.16 (step @p51 :rule implies_elim :premises (@p49)) % 0.96/1.16 (step @p52 false :rule chain_m_resolution :premises (@p51 @p46 @p9) :args (false (@list true false) (@list @t68 @t21))) % 0.96/1.16 ) % 0.96/1.16 % SZS output end Proof % 0.96/1.16 % cvc5 exiting %------------------------------------------------------------------------------