%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL088-1 : 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 : n029.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 08:09:56 AM UTC 2026 % Result : Unsatisfiable 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 : COL088-1 : 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 : n029.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 20:23:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Unsatisfiable % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.z $$unsorted) % 0.37/0.58 (declare-const tptp.y $$unsorted) % 0.37/0.58 (declare-const tptp.p $$unsorted) % 0.37/0.58 (declare-const tptp.r $$unsorted) % 0.37/0.58 (declare-const tptp.ap_contractE_sk2q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.combS $$unsorted) % 0.37/0.58 (declare-const tptp.ap_contractE_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.comb_app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.rtrancl (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.combK $$unsorted) % 0.37/0.58 (declare-const tptp.comb $$unsorted) % 0.37/0.58 (declare-const tptp.ap_contractE_c2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.ap_contractE_c4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.trans (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.contract $$unsorted) % 0.37/0.58 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.ap_contractE_sk3q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.ap_contractE_c3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.ap_contractE_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.ap_contractE_c1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "Q" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "P" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.comb_app @t2 @t1)) % 0.37/0.58 (define @t4 () (@list @t2 @t1)) % 0.37/0.58 (define @t5 () (@var "P2" $$unsorted)) % 0.37/0.58 (define @t6 () (@var "P1" $$unsorted)) % 0.37/0.58 (define @t7 () (= @t6 @t5)) % 0.37/0.58 (define @t8 () (@var "Q2" $$unsorted)) % 0.37/0.58 (define @t9 () (@var "Q1" $$unsorted)) % 0.37/0.58 (define @t10 () (= (tptp.comb_app @t6 @t9) (tptp.comb_app @t5 @t8))) % 0.37/0.58 (define @t11 () (not @t10)) % 0.37/0.58 (define @t12 () (@list @t6 @t9 @t5 @t8)) % 0.37/0.58 (define @t13 () (= @t9 @t8)) % 0.37/0.58 (define @t14 () (tptp.member @t2 tptp.comb)) % 0.37/0.58 (define @t15 () (tptp.member @t3 tptp.comb)) % 0.37/0.58 (define @t16 () (not @t15)) % 0.37/0.58 (define @t17 () (tptp.member @t1 tptp.comb)) % 0.37/0.58 (define @t18 () (not @t17)) % 0.37/0.58 (define @t19 () (not @t14)) % 0.37/0.58 (define @t20 () (tptp.rtrancl tptp.contract)) % 0.37/0.58 (define @t21 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t22 () (@var "R" $$unsorted)) % 0.37/0.58 (define @t23 () (tptp.member @t22 tptp.comb)) % 0.37/0.58 (define @t24 () (@list @t2 @t1 @t22)) % 0.37/0.58 (define @t25 () (tptp.ap_contractE_c4 @t2 @t1 @t22)) % 0.37/0.58 (define @t26 () (tptp.ap_contractE_c3 @t2 @t1 @t22)) % 0.37/0.58 (define @t27 () (tptp.ap_contractE_c2 @t2 @t1 @t22)) % 0.37/0.58 (define @t28 () (tptp.ap_contractE_c1 @t2 @t1 @t22)) % 0.37/0.58 (define @t29 () (not @t28)) % 0.37/0.58 (define @t30 () (tptp.ap_contractE_sk1p @t2 @t1 @t22)) % 0.37/0.58 (define @t31 () (not @t27)) % 0.37/0.58 (define @t32 () (tptp.ap_contractE_sk1q @t2 @t1 @t22)) % 0.37/0.58 (define @t33 () (tptp.ap_contractE_sk2q @t2 @t1 @t22)) % 0.37/0.58 (define @t34 () (not @t26)) % 0.37/0.58 (define @t35 () (tptp.ap_contractE_sk3q @t2 @t1 @t22)) % 0.37/0.58 (define @t36 () (not @t25)) % 0.37/0.58 (define @t37 () (@list @t22)) % 0.37/0.58 (define @t38 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t39 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t40 () (tptp.pair @t39 @t38)) % 0.37/0.58 (define @t41 () (tptp.pair @t21 @t39)) % 0.37/0.58 (define @t42 () (forall (@list @t22 @t21 @t39 @t38) (or (not (tptp.trans @t22)) (not (tptp.member @t41 @t22)) (not (tptp.member @t40 @t22)) (tptp.member (tptp.pair @t21 @t38) @t22)))) % 0.37/0.58 (define @t43 () (tptp.member @t39 tptp.comb)) % 0.37/0.58 (define @t44 () (@var "Q3" $$unsorted)) % 0.37/0.58 (define @t45 () (not (tptp.member @t44 tptp.comb))) % 0.37/0.58 (define @t46 () (@var "R3" $$unsorted)) % 0.37/0.58 (define @t47 () (@var "P3" $$unsorted)) % 0.37/0.58 (define @t48 () (tptp.comb_app @t44 @t46)) % 0.37/0.58 (define @t49 () (tptp.comb_app @t47 @t46)) % 0.37/0.58 (define @t50 () (not (tptp.member @t46 tptp.comb))) % 0.37/0.58 (define @t51 () (@list @t47 @t44 @t46 @t38)) % 0.37/0.58 (define @t52 () (not (tptp.member (tptp.pair @t47 @t44) tptp.contract))) % 0.37/0.58 (define @t53 () (tptp.member tptp.r tptp.comb)) % 0.37/0.58 (define @t54 () (tptp.member (tptp.pair tptp.y tptp.z) tptp.contract)) % 0.37/0.58 (define @t55 () (tptp.comb_app tptp.y tptp.r)) % 0.37/0.58 (define @t56 () (tptp.comb_app tptp.p tptp.r)) % 0.37/0.58 (define @t57 () (tptp.member (tptp.pair @t56 @t55) @t20)) % 0.37/0.58 (define @t58 () (tptp.comb_app tptp.z tptp.r)) % 0.37/0.58 (define @t59 () (tptp.member (tptp.pair @t56 @t58) @t20)) % 0.37/0.58 (define @t60 () (tptp.member tptp.z tptp.comb)) % 0.37/0.58 (define @t61 () (not @t54)) % 0.37/0.58 (define @t62 () (or @t61 @t60)) % 0.37/0.58 (define @t63 () (@list false false)) % 0.37/0.58 (define @t64 () (tptp.member @t58 tptp.comb)) % 0.37/0.58 (define @t65 () (not @t53)) % 0.37/0.58 (define @t66 () (not @t60)) % 0.37/0.58 (define @t67 () (or @t66 @t65 @t64)) % 0.37/0.58 (define @t68 () (tptp.member (tptp.pair @t58 @t58) @t20)) % 0.37/0.58 (define @t69 () (not @t64)) % 0.37/0.58 (define @t70 () (or @t69 @t68)) % 0.37/0.58 (define @t71 () (tptp.member (tptp.pair @t55 @t58) @t20)) % 0.37/0.58 (define @t72 () (not @t68)) % 0.37/0.58 (define @t73 () (or @t61 @t65 @t72 @t71)) % 0.37/0.58 (define @t74 () (not @t71)) % 0.37/0.58 (define @t75 () (not @t57)) % 0.37/0.58 (define @t76 () (tptp.trans @t20)) % 0.37/0.58 (define @t77 () (not @t76)) % 0.37/0.58 (define @t78 () (or @t77 @t75 @t74 @t59)) % 0.37/0.58 (define @t79 () (not @t78)) % 0.37/0.58 (assume @p1 (not (= tptp.combK tptp.combS))) % 0.37/0.58 (assume @p2 (forall @t4 (not (= tptp.combK @t3)))) % 0.37/0.58 (assume @p3 (forall @t4 (not (= tptp.combS @t3)))) % 0.37/0.58 (assume @p4 (forall @t12 (or @t11 @t7))) % 0.37/0.58 (assume @p5 (forall @t12 (or @t11 @t13))) % 0.37/0.58 (assume @p6 (forall (@list @t6 @t5 @t9 @t8) (or (not @t7) (not @t13) @t10))) % 0.37/0.58 (assume @p7 (forall @t4 (or @t16 @t14))) % 0.37/0.58 (assume @p8 (forall @t4 (or @t16 @t17))) % 0.37/0.58 (assume @p9 (tptp.member tptp.combK tptp.comb)) % 0.37/0.58 (assume @p10 (tptp.member tptp.combS tptp.comb)) % 0.37/0.58 (assume @p11 (forall @t4 (or @t19 @t18 @t15))) % 0.37/0.58 (assume @p12 (forall (@list @t21) (or (not (tptp.member @t21 tptp.comb)) (tptp.member (tptp.pair @t21 @t21) @t20)))) % 0.37/0.58 (assume @p13 (forall @t4 (or @t19 @t18 (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK @t2) @t1) @t2) tptp.contract)))) % 0.37/0.58 (assume @p14 (forall @t24 (or @t19 @t18 (not @t23) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS @t2) @t1) @t22) (tptp.comb_app (tptp.comb_app @t2 @t22) (tptp.comb_app @t1 @t22))) tptp.contract)))) % 0.37/0.58 (assume @p15 (forall @t24 (or (not (tptp.member (tptp.pair @t3 @t22) tptp.contract)) @t28 @t27 @t26 @t25))) % 0.37/0.58 (assume @p16 (forall @t24 (or @t29 @t23))) % 0.37/0.58 (assume @p17 (forall @t24 (or @t29 @t17))) % 0.37/0.58 (assume @p18 (forall @t24 (or @t29 (= @t2 (tptp.comb_app tptp.combK @t22))))) % 0.37/0.58 (assume @p19 (forall @t24 (or @t31 (tptp.member @t30 tptp.comb)))) % 0.37/0.58 (assume @p20 (forall @t24 (or @t31 (tptp.member @t32 tptp.comb)))) % 0.37/0.58 (assume @p21 (forall @t24 (or @t31 @t17))) % 0.37/0.58 (assume @p22 (forall @t24 (or @t31 (= @t22 (tptp.comb_app (tptp.comb_app @t30 @t1) (tptp.comb_app @t32 @t1)))))) % 0.37/0.58 (assume @p23 (forall @t24 (or @t31 (= @t2 (tptp.comb_app (tptp.comb_app tptp.combS @t30) @t32))))) % 0.37/0.58 (assume @p24 (forall @t24 (or @t34 (tptp.member (tptp.pair @t2 @t33) tptp.contract)))) % 0.37/0.58 (assume @p25 (forall @t24 (or @t34 @t17))) % 0.37/0.58 (assume @p26 (forall @t24 (or @t34 (= @t22 (tptp.comb_app @t33 @t1))))) % 0.37/0.58 (assume @p27 (forall @t24 (or @t36 (tptp.member (tptp.pair @t1 @t35) tptp.contract)))) % 0.37/0.58 (assume @p28 (forall @t24 (or @t36 @t14))) % 0.37/0.58 (assume @p29 (forall @t24 (or @t36 (= @t22 (tptp.comb_app @t2 @t35))))) % 0.37/0.58 (assume @p30 (forall @t37 (not (tptp.member (tptp.pair tptp.combK @t22) tptp.contract)))) % 0.37/0.58 (assume @p31 (forall @t37 (not (tptp.member (tptp.pair tptp.combS @t22) tptp.contract)))) % 0.37/0.58 (assume @p32 @t42) % 0.37/0.58 (assume @p33 (forall @t37 (tptp.trans (tptp.rtrancl @t22)))) % 0.37/0.58 (assume @p34 (forall (@list @t21 @t39) (or (not (tptp.member @t41 tptp.contract)) @t43))) % 0.37/0.58 (assume @p35 (forall (@list @t39 @t44 @t38) (or (not @t43) @t45 (not (tptp.member @t40 @t20)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK @t39) @t44) @t38) @t20)))) % 0.37/0.58 (assume @p36 (forall @t51 (or (not (tptp.member @t47 tptp.comb)) @t45 @t50 (not (tptp.member (tptp.pair (tptp.comb_app @t49 @t48) @t38) @t20)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS @t47) @t44) @t46) @t38) @t20)))) % 0.37/0.58 (assume @p37 (forall @t51 (or @t52 @t50 (not (tptp.member (tptp.pair @t48 @t38) @t20)) (tptp.member (tptp.pair @t49 @t38) @t20)))) % 0.37/0.58 (assume @p38 (forall @t51 (or @t52 @t50 (not (tptp.member (tptp.pair (tptp.comb_app @t46 @t44) @t38) @t20)) (tptp.member (tptp.pair (tptp.comb_app @t46 @t47) @t38) @t20)))) % 0.37/0.58 (assume @p39 @t53) % 0.37/0.58 (assume @p40 (tptp.member tptp.p tptp.comb)) % 0.37/0.58 (assume @p41 (tptp.member (tptp.pair tptp.p tptp.y) @t20)) % 0.37/0.58 (assume @p42 @t54) % 0.37/0.58 (assume @p43 @t57) % 0.37/0.58 (assume @p44 (not @t59)) % 0.37/0.58 (step @p45 :rule instantiate :premises (@p37) :args ((@list tptp.y tptp.z tptp.r @t58))) % 0.37/0.58 (step @p46 :rule instantiate :premises (@p12) :args ((@list @t58))) % 0.37/0.58 (step @p47 :rule instantiate :premises (@p11) :args ((@list tptp.z tptp.r))) % 0.37/0.58 (step @p48 :rule instantiate :premises (@p34) :args ((@list tptp.y tptp.z))) % 0.37/0.58 (step @p49 :rule cnf_or_pos :args (@t62)) % 0.37/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t61 @t60 (not @t62)))) % 0.37/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p42 @p48) :args (@t60 @t63 (@list @t54 @t62))) % 0.37/0.58 (step @p52 :rule cnf_or_pos :args (@t67)) % 0.37/0.58 (step @p53 :rule reordering :premises (@p52) :args ((or @t65 @t64 @t66 (not @t67)))) % 0.37/0.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p39 @p51 @p47) :args (@t64 (@list false false false) (@list @t53 @t60 @t67))) % 0.37/0.58 (step @p55 :rule cnf_or_pos :args (@t70)) % 0.37/0.58 (step @p56 :rule reordering :premises (@p55) :args ((or @t69 @t68 (not @t70)))) % 0.37/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p46) :args (@t68 @t63 (@list @t64 @t70))) % 0.37/0.58 (step @p58 :rule cnf_or_pos :args (@t73)) % 0.37/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t65 @t61 @t72 @t71 (not @t73)))) % 0.37/0.58 (step @p60 :rule chain_m_resolution :premises (@p59 @p39 @p42 @p57 @p45) :args (@t71 (@list false false false false) (@list @t53 @t54 @t68 @t73))) % 0.37/0.58 (step @p61 :rule instantiate :premises (@p33) :args ((@list tptp.contract))) % 0.37/0.58 (step @p62 :rule cnf_or_pos :args (@t78)) % 0.37/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t59 @t75 @t77 @t74 @t79))) % 0.37/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p44 @p43 @p61 @p60) :args (@t79 (@list true false false false) (@list @t59 @t57 @t76 @t71))) % 0.37/0.58 (assume-push @p71 @t42) % 0.37/0.58 (step @p66 :rule instantiate :premises (@p32) :args ((@list @t20 @t56 @t55 @t58))) % 0.37/0.58 (step-pop @p72 :rule scope :premises (@p66)) % 0.37/0.58 (step @p67 :rule process_scope :premises (@p72) :args (@t78)) % 0.37/0.58 (step @p69 :rule implies_elim :premises (@p67)) % 0.37/0.58 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p32) :args (false (@list true false) (@list @t78 @t42))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------