%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL091-1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:09:57 AM UTC 2026 % Result : Unsatisfiable 2.02s 2.22s % Output : Proof 2.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL091-1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n011.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 20:22:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.02/2.22 % SZS status Unsatisfiable % 2.02/2.22 % SZS output start Proof % 2.02/2.22 ( % 2.02/2.22 (declare-sort $$unsorted 0) % 2.02/2.22 (declare-const tptp.ap_contractE_sk2q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.02/2.22 (declare-const tptp.combS $$unsorted) % 2.02/2.22 (declare-const tptp.ap_contractE_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.02/2.22 (declare-const tptp.comb_app (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.22 (declare-const tptp.rtrancl (-> $$unsorted $$unsorted)) % 2.02/2.22 (declare-const tptp.combK $$unsorted) % 2.02/2.22 (declare-const tptp.comb $$unsorted) % 2.02/2.22 (declare-const tptp.ap_contractE_c2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.02/2.22 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 2.02/2.22 (declare-const tptp.ap_contractE_c4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.02/2.22 (declare-const tptp.r $$unsorted) % 2.02/2.22 (declare-const tptp.contract $$unsorted) % 2.02/2.22 (declare-const tptp.p $$unsorted) % 2.02/2.22 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.22 (declare-const tptp.ap_contractE_sk3q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.02/2.22 (declare-const tptp.ap_contractE_c3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.02/2.22 (declare-const tptp.ap_contractE_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.02/2.22 (declare-const tptp.ap_contractE_c1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.02/2.22 (define @t1 () (@var "Q" $$unsorted)) % 2.02/2.22 (define @t2 () (@var "P" $$unsorted)) % 2.02/2.22 (define @t3 () (tptp.comb_app @t2 @t1)) % 2.02/2.22 (define @t4 () (@list @t2 @t1)) % 2.02/2.22 (define @t5 () (@var "P2" $$unsorted)) % 2.02/2.22 (define @t6 () (@var "P1" $$unsorted)) % 2.02/2.22 (define @t7 () (= @t6 @t5)) % 2.02/2.22 (define @t8 () (@var "Q2" $$unsorted)) % 2.02/2.22 (define @t9 () (@var "Q1" $$unsorted)) % 2.02/2.22 (define @t10 () (= (tptp.comb_app @t6 @t9) (tptp.comb_app @t5 @t8))) % 2.02/2.22 (define @t11 () (not @t10)) % 2.02/2.22 (define @t12 () (@list @t6 @t9 @t5 @t8)) % 2.02/2.22 (define @t13 () (= @t9 @t8)) % 2.02/2.22 (define @t14 () (tptp.member @t2 tptp.comb)) % 2.02/2.22 (define @t15 () (tptp.member @t3 tptp.comb)) % 2.02/2.22 (define @t16 () (not @t15)) % 2.02/2.22 (define @t17 () (tptp.member @t1 tptp.comb)) % 2.02/2.22 (define @t18 () (not @t17)) % 2.02/2.22 (define @t19 () (not @t14)) % 2.02/2.22 (define @t20 () (@var "A" $$unsorted)) % 2.02/2.22 (define @t21 () (@var "R" $$unsorted)) % 2.02/2.22 (define @t22 () (tptp.member @t21 tptp.comb)) % 2.02/2.22 (define @t23 () (@list @t2 @t1 @t21)) % 2.02/2.22 (define @t24 () (tptp.ap_contractE_c4 @t2 @t1 @t21)) % 2.02/2.22 (define @t25 () (tptp.ap_contractE_c3 @t2 @t1 @t21)) % 2.02/2.22 (define @t26 () (tptp.ap_contractE_c2 @t2 @t1 @t21)) % 2.02/2.22 (define @t27 () (tptp.ap_contractE_c1 @t2 @t1 @t21)) % 2.02/2.22 (define @t28 () (not @t27)) % 2.02/2.22 (define @t29 () (tptp.ap_contractE_sk1p @t2 @t1 @t21)) % 2.02/2.22 (define @t30 () (not @t26)) % 2.02/2.22 (define @t31 () (tptp.ap_contractE_sk1q @t2 @t1 @t21)) % 2.02/2.22 (define @t32 () (tptp.ap_contractE_sk2q @t2 @t1 @t21)) % 2.02/2.22 (define @t33 () (not @t25)) % 2.02/2.22 (define @t34 () (tptp.ap_contractE_sk3q @t2 @t1 @t21)) % 2.02/2.22 (define @t35 () (not @t24)) % 2.02/2.22 (define @t36 () (@list @t21)) % 2.02/2.22 (define @t37 () (forall @t36 (not (tptp.member (tptp.pair tptp.combK @t21) tptp.contract)))) % 2.02/2.22 (define @t38 () (tptp.member (tptp.pair (tptp.comb_app tptp.combK tptp.p) tptp.r) tptp.contract)) % 2.02/2.22 (define @t39 () (@list tptp.combK tptp.p tptp.r)) % 2.02/2.22 (define @t40 () (tptp.ap_contractE_sk3q tptp.combK tptp.p tptp.r)) % 2.02/2.22 (define @t41 () (tptp.member (tptp.pair tptp.p @t40) tptp.contract)) % 2.02/2.22 (define @t42 () (tptp.ap_contractE_c4 tptp.combK tptp.p tptp.r)) % 2.02/2.22 (define @t43 () (not @t42)) % 2.02/2.22 (define @t44 () (or @t43 @t41)) % 2.02/2.22 (define @t45 () (= tptp.r (tptp.comb_app tptp.combK @t40))) % 2.02/2.22 (define @t46 () (or @t43 @t45)) % 2.02/2.22 (define @t47 () (not @t41)) % 2.02/2.22 (define @t48 () (not @t45)) % 2.02/2.22 (define @t49 () (or @t48 @t47)) % 2.02/2.22 (define @t50 () (tptp.ap_contractE_sk1q tptp.combK tptp.p tptp.r)) % 2.02/2.22 (define @t51 () (tptp.comb_app tptp.combS (tptp.ap_contractE_sk1p tptp.combK tptp.p tptp.r))) % 2.02/2.22 (define @t52 () (= tptp.combK (tptp.comb_app @t51 @t50))) % 2.02/2.22 (define @t53 () (tptp.ap_contractE_c2 tptp.combK tptp.p tptp.r)) % 2.02/2.22 (define @t54 () (not @t53)) % 2.02/2.22 (define @t55 () (or @t54 @t52)) % 2.02/2.22 (define @t56 () (@list true false)) % 2.02/2.22 (define @t57 () (= tptp.combK (tptp.comb_app tptp.combK tptp.r))) % 2.02/2.22 (define @t58 () (tptp.ap_contractE_c1 tptp.combK tptp.p tptp.r)) % 2.02/2.22 (define @t59 () (not @t58)) % 2.02/2.22 (define @t60 () (or @t59 @t57)) % 2.02/2.22 (define @t61 () (tptp.ap_contractE_c3 tptp.combK tptp.p tptp.r)) % 2.02/2.22 (define @t62 () (not @t38)) % 2.02/2.22 (define @t63 () (or @t62 @t58 @t53 @t61 @t42)) % 2.02/2.22 (define @t64 () (tptp.ap_contractE_sk2q tptp.combK tptp.p tptp.r)) % 2.02/2.22 (define @t65 () (tptp.member (tptp.pair tptp.combK @t64) tptp.contract)) % 2.02/2.22 (define @t66 () (not @t61)) % 2.02/2.22 (define @t67 () (or @t66 @t65)) % 2.02/2.22 (define @t68 () (@list false false)) % 2.02/2.22 (assume @p1 (not (= tptp.combK tptp.combS))) % 2.02/2.22 (assume @p2 (forall @t4 (not (= tptp.combK @t3)))) % 2.02/2.22 (assume @p3 (forall @t4 (not (= tptp.combS @t3)))) % 2.02/2.22 (assume @p4 (forall @t12 (or @t11 @t7))) % 2.02/2.22 (assume @p5 (forall @t12 (or @t11 @t13))) % 2.02/2.22 (assume @p6 (forall (@list @t6 @t5 @t9 @t8) (or (not @t7) (not @t13) @t10))) % 2.02/2.22 (assume @p7 (forall @t4 (or @t16 @t14))) % 2.02/2.22 (assume @p8 (forall @t4 (or @t16 @t17))) % 2.02/2.22 (assume @p9 (tptp.member tptp.combK tptp.comb)) % 2.02/2.22 (assume @p10 (tptp.member tptp.combS tptp.comb)) % 2.02/2.22 (assume @p11 (forall @t4 (or @t19 @t18 @t15))) % 2.02/2.22 (assume @p12 (forall (@list @t20) (or (not (tptp.member @t20 tptp.comb)) (tptp.member (tptp.pair @t20 @t20) (tptp.rtrancl tptp.contract))))) % 2.02/2.22 (assume @p13 (forall @t4 (or @t19 @t18 (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK @t2) @t1) @t2) tptp.contract)))) % 2.02/2.22 (assume @p14 (forall @t23 (or @t19 @t18 (not @t22) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS @t2) @t1) @t21) (tptp.comb_app (tptp.comb_app @t2 @t21) (tptp.comb_app @t1 @t21))) tptp.contract)))) % 2.02/2.22 (assume @p15 (forall @t23 (or (not (tptp.member (tptp.pair @t3 @t21) tptp.contract)) @t27 @t26 @t25 @t24))) % 2.02/2.22 (assume @p16 (forall @t23 (or @t28 @t22))) % 2.02/2.22 (assume @p17 (forall @t23 (or @t28 @t17))) % 2.02/2.22 (assume @p18 (forall @t23 (or @t28 (= @t2 (tptp.comb_app tptp.combK @t21))))) % 2.02/2.22 (assume @p19 (forall @t23 (or @t30 (tptp.member @t29 tptp.comb)))) % 2.02/2.22 (assume @p20 (forall @t23 (or @t30 (tptp.member @t31 tptp.comb)))) % 2.02/2.22 (assume @p21 (forall @t23 (or @t30 @t17))) % 2.02/2.22 (assume @p22 (forall @t23 (or @t30 (= @t21 (tptp.comb_app (tptp.comb_app @t29 @t1) (tptp.comb_app @t31 @t1)))))) % 2.02/2.22 (assume @p23 (forall @t23 (or @t30 (= @t2 (tptp.comb_app (tptp.comb_app tptp.combS @t29) @t31))))) % 2.02/2.22 (assume @p24 (forall @t23 (or @t33 (tptp.member (tptp.pair @t2 @t32) tptp.contract)))) % 2.02/2.22 (assume @p25 (forall @t23 (or @t33 @t17))) % 2.02/2.22 (assume @p26 (forall @t23 (or @t33 (= @t21 (tptp.comb_app @t32 @t1))))) % 2.02/2.22 (assume @p27 (forall @t23 (or @t35 (tptp.member (tptp.pair @t1 @t34) tptp.contract)))) % 2.02/2.22 (assume @p28 (forall @t23 (or @t35 @t14))) % 2.02/2.22 (assume @p29 (forall @t23 (or @t35 (= @t21 (tptp.comb_app @t2 @t34))))) % 2.02/2.22 (assume @p30 @t37) % 2.02/2.22 (assume @p31 (forall @t36 (not (tptp.member (tptp.pair tptp.combS @t21) tptp.contract)))) % 2.02/2.22 (assume @p32 @t38) % 2.02/2.22 (assume @p33 (forall (@list @t1) (or (not (= tptp.r (tptp.comb_app tptp.combK @t1))) (not (tptp.member (tptp.pair tptp.p @t1) tptp.contract))))) % 2.02/2.22 (step @p34 :rule instantiate :premises (@p24) :args (@t39)) % 2.02/2.22 (step @p35 :rule instantiate :premises (@p15) :args (@t39)) % 2.02/2.22 (step @p36 :rule instantiate :premises (@p27) :args (@t39)) % 2.02/2.22 (step @p37 :rule cnf_or_pos :args (@t44)) % 2.02/2.22 (step @p38 :rule reordering :premises (@p37) :args ((or @t43 @t41 (not @t44)))) % 2.02/2.22 (step @p39 :rule instantiate :premises (@p29) :args (@t39)) % 2.02/2.22 (step @p40 :rule cnf_or_pos :args (@t46)) % 2.02/2.22 (step @p41 :rule reordering :premises (@p40) :args ((or @t43 @t45 (not @t46)))) % 2.02/2.22 (step @p42 :rule instantiate :premises (@p33) :args ((@list @t40))) % 2.02/2.22 (step @p43 :rule cnf_or_pos :args (@t49)) % 2.02/2.22 (step @p44 :rule reordering :premises (@p43) :args ((or @t47 @t48 (not @t49)))) % 2.02/2.22 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p41 @p39 @p38 @p36) :args (@t43 (@list false false false false false) (@list @t49 @t45 @t46 @t41 @t44))) % 2.02/2.22 (step @p46 :rule instantiate :premises (@p23) :args (@t39)) % 2.02/2.22 (step @p47 :rule instantiate :premises (@p2) :args ((@list @t51 @t50))) % 2.02/2.22 (step @p48 :rule cnf_or_pos :args (@t55)) % 2.02/2.22 (step @p49 :rule reordering :premises (@p48) :args ((or @t54 @t52 (not @t55)))) % 2.02/2.22 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p46) :args (@t54 @t56 (@list @t52 @t55))) % 2.02/2.22 (step @p51 :rule instantiate :premises (@p18) :args (@t39)) % 2.02/2.22 (step @p52 :rule instantiate :premises (@p2) :args ((@list tptp.combK tptp.r))) % 2.02/2.22 (step @p53 :rule cnf_or_pos :args (@t60)) % 2.02/2.22 (step @p54 :rule reordering :premises (@p53) :args ((or @t59 @t57 (not @t60)))) % 2.02/2.22 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p51) :args (@t59 @t56 (@list @t57 @t60))) % 2.02/2.22 (step @p56 :rule cnf_or_pos :args (@t63)) % 2.02/2.22 (step @p57 :rule reordering :premises (@p56) :args ((or @t62 @t58 @t53 @t61 @t42 (not @t63)))) % 2.02/2.22 (step @p58 :rule chain_m_resolution :premises (@p57 @p32 @p55 @p50 @p45 @p35) :args (@t61 (@list false true true true false) (@list @t38 @t58 @t53 @t42 @t63))) % 2.02/2.22 (step @p59 :rule cnf_or_pos :args (@t67)) % 2.02/2.22 (step @p60 :rule reordering :premises (@p59) :args ((or @t66 @t65 (not @t67)))) % 2.02/2.22 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p34) :args (@t65 @t68 (@list @t61 @t67))) % 2.02/2.22 (assume-push @p68 @t37) % 2.02/2.22 (step @p63 :rule instantiate :premises (@p30) :args ((@list @t64))) % 2.02/2.22 (step-pop @p69 :rule scope :premises (@p63)) % 2.02/2.22 (step @p64 :rule process_scope :premises (@p69) :args ((not @t65))) % 2.02/2.22 (step @p66 :rule implies_elim :premises (@p64)) % 2.02/2.22 (step @p67 false :rule chain_m_resolution :premises (@p66 @p61 @p30) :args (false @t68 (@list @t65 @t37))) % 2.02/2.22 ) % 2.02/2.22 % SZS output end Proof % 2.02/2.23 % cvc5 exiting %------------------------------------------------------------------------------