%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU194+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:50:54 AM UTC 2026 % Result : Theorem 254.03s 254.36s % Output : Proof 254.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU194+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:35:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 254.03/254.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 254.03/254.36 --- Run --no-e-matching --full-saturate-quant at 6... % 254.03/254.36 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 254.03/254.36 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 254.03/254.36 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 254.03/254.36 --- Run --trigger-sel=max --full-saturate-quant at 15... % 254.03/254.36 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 254.03/254.36 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 254.03/254.36 --- Run --prenex-quant=none --full-saturate-quant at 30... % 254.03/254.36 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 254.03/254.36 --- Run --relevant-triggers --full-saturate-quant at 30... % 254.03/254.36 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 254.03/254.36 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 254.03/254.36 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 254.03/254.36 % SZS status Theorem % 254.03/254.36 % SZS output start Proof % 254.03/254.36 ( % 254.03/254.36 (declare-sort $$unsorted 0) % 254.03/254.36 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 254.03/254.36 (declare-const tptp.empty_set $$unsorted) % 254.03/254.36 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 254.03/254.36 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 254.03/254.36 (declare-const tptp.empty (-> $$unsorted Bool)) % 254.03/254.36 (declare-const tptp.relation (-> $$unsorted Bool)) % 254.03/254.36 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 254.03/254.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 254.03/254.36 (define @t1 () (@var "A" $$unsorted)) % 254.03/254.36 (define @t2 () (@var "B" $$unsorted)) % 254.03/254.36 (define @t3 () (tptp.in @t1 @t2)) % 254.03/254.36 (define @t4 () (@list @t1 @t2)) % 254.03/254.36 (define @t5 () (tptp.relation @t1)) % 254.03/254.36 (define @t6 () (tptp.empty @t1)) % 254.03/254.36 (define @t7 () (@list @t1)) % 254.03/254.36 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 254.03/254.36 (define @t9 () (@var "D" $$unsorted)) % 254.03/254.36 (define @t10 () (@var "C" $$unsorted)) % 254.03/254.36 (define @t11 () (@list @t9)) % 254.03/254.36 (define @t12 () (forall @t11 (= (tptp.in @t9 @t10) (and (tptp.in @t9 @t1) (tptp.in @t9 @t2))))) % 254.03/254.36 (define @t13 () (= (= @t10 @t8) @t12)) % 254.03/254.36 (define @t14 () (@list @t1 @t2 @t10)) % 254.03/254.36 (define @t15 () (forall @t14 @t13)) % 254.03/254.36 (define @t16 () (tptp.relation @t2)) % 254.03/254.36 (define @t17 () (tptp.empty tptp.empty_set)) % 254.03/254.36 (define @t18 () (tptp.relation_dom @t1)) % 254.03/254.36 (define @t19 () (tptp.empty @t18)) % 254.03/254.36 (define @t20 () (not @t6)) % 254.03/254.36 (define @t21 () (and @t20 @t5)) % 254.03/254.36 (define @t22 () (tptp.element @t1 @t2)) % 254.03/254.36 (define @t23 () (tptp.empty @t2)) % 254.03/254.36 (define @t24 () (= @t1 @t2)) % 254.03/254.36 (define @t25 () (@list @t10)) % 254.03/254.36 (define @t26 () (forall @t25 (= (tptp.in @t10 @t1) (tptp.in @t10 @t2)))) % 254.03/254.36 (define @t27 () (forall @t4 (=> @t26 @t24))) % 254.03/254.36 (define @t28 () (= (tptp.in @t1 (tptp.relation_dom (tptp.relation_dom_restriction @t10 @t2))) (and @t3 (tptp.in @t1 (tptp.relation_dom @t10))))) % 254.03/254.36 (define @t29 () (tptp.relation @t10)) % 254.03/254.36 (define @t30 () (forall @t14 (=> @t29 @t28))) % 254.03/254.36 (define @t31 () (= (tptp.relation_dom (tptp.relation_dom_restriction @t2 @t1)) (tptp.set_intersection2 (tptp.relation_dom @t2) @t1))) % 254.03/254.36 (define @t32 () (forall @t4 (=> @t16 @t31))) % 254.03/254.36 (define @t33 () (not @t32)) % 254.03/254.36 (define @t34 () (= @t8 @t10)) % 254.03/254.36 (define @t35 () (forall @t4 (or (not @t16) @t31))) % 254.03/254.36 (define @t36 () (@quantifiers_skolemize @t35 0)) % 254.03/254.36 (define @t37 () (@quantifiers_skolemize @t35 1)) % 254.03/254.36 (define @t38 () (tptp.relation_dom @t37)) % 254.03/254.36 (define @t39 () (tptp.set_intersection2 @t38 @t36)) % 254.03/254.36 (define @t40 () (forall @t11 (= (tptp.in @t9 @t39) (and (tptp.in @t9 @t38) (tptp.in @t9 @t36))))) % 254.03/254.36 (define @t41 () (= @t40 (= @t39 @t39))) % 254.03/254.36 (define @t42 () (forall @t14 (= @t12 @t34))) % 254.03/254.36 (define @t43 () (@list false)) % 254.03/254.36 (define @t44 () (tptp.relation_dom (tptp.relation_dom_restriction @t37 @t36))) % 254.03/254.36 (define @t45 () (forall @t25 (= (tptp.in @t10 @t39) (tptp.in @t10 @t44)))) % 254.03/254.36 (define @t46 () (@quantifiers_skolemize @t45 0)) % 254.03/254.36 (define @t47 () (not @t45)) % 254.03/254.36 (define @t48 () (or @t47 (= @t39 @t44))) % 254.03/254.36 (define @t49 () (forall @t4 (or (not @t26) @t24))) % 254.03/254.36 (define @t50 () (= @t44 @t39)) % 254.03/254.36 (define @t51 () (or @t47 @t50)) % 254.03/254.36 (define @t52 () (tptp.relation @t37)) % 254.03/254.36 (define @t53 () (not @t52)) % 254.03/254.36 (define @t54 () (or @t53 @t50)) % 254.03/254.36 (define @t55 () (@list true)) % 254.03/254.36 (define @t56 () (@list @t54)) % 254.03/254.36 (define @t57 () (@list true false)) % 254.03/254.36 (define @t58 () (tptp.in @t46 @t44)) % 254.03/254.36 (define @t59 () (tptp.in @t46 @t39)) % 254.03/254.36 (define @t60 () (= @t59 @t58)) % 254.03/254.36 (define @t61 () (tptp.in @t46 @t36)) % 254.03/254.36 (define @t62 () (tptp.in @t46 @t38)) % 254.03/254.36 (define @t63 () (and @t62 @t61)) % 254.03/254.36 (define @t64 () (= @t59 @t63)) % 254.03/254.36 (define @t65 () (not @t64)) % 254.03/254.36 (define @t66 () (not @t59)) % 254.03/254.36 (define @t67 () (and @t61 @t62)) % 254.03/254.36 (define @t68 () (= @t58 @t67)) % 254.03/254.36 (define @t69 () (or @t53 @t68)) % 254.03/254.36 (define @t70 () (@list false false)) % 254.03/254.36 (define @t71 () (not @t68)) % 254.03/254.36 (define @t72 () (not @t67)) % 254.03/254.36 (define @t73 () (not @t63)) % 254.03/254.36 (define @t74 () (@list @t67)) % 254.03/254.36 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 254.03/254.36 (assume @p2 (forall @t7 (=> @t6 @t5))) % 254.03/254.36 (assume @p3 (forall @t4 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 254.03/254.36 (assume @p4 @t15) % 254.03/254.36 (assume @p5 true) % 254.03/254.36 (assume @p6 (forall @t4 (=> @t5 (tptp.relation (tptp.relation_dom_restriction @t1 @t2))))) % 254.03/254.36 (assume @p7 (forall @t7 (exists (@list @t2) (tptp.element @t2 @t1)))) % 254.03/254.36 (assume @p8 (forall @t4 (=> (and @t5 @t16) (tptp.relation @t8)))) % 254.03/254.36 (assume @p9 @t17) % 254.03/254.36 (assume @p10 (and @t17 (tptp.relation tptp.empty_set))) % 254.03/254.36 (assume @p11 (forall @t7 (=> @t21 (not @t19)))) % 254.03/254.36 (assume @p12 (forall @t7 (=> @t6 (and @t19 (tptp.relation @t18))))) % 254.03/254.36 (assume @p13 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 254.03/254.36 (assume @p14 (exists @t7 (and @t6 @t5))) % 254.03/254.36 (assume @p15 (exists @t7 @t6)) % 254.03/254.36 (assume @p16 (exists @t7 @t21)) % 254.03/254.36 (assume @p17 (exists @t7 @t20)) % 254.03/254.36 (assume @p18 (forall @t4 (=> @t3 @t22))) % 254.03/254.36 (assume @p19 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 254.03/254.36 (assume @p20 (forall @t4 (=> @t22 (or @t23 @t3)))) % 254.03/254.36 (assume @p21 @t27) % 254.03/254.36 (assume @p22 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 254.03/254.36 (assume @p23 (forall @t4 (not (and @t3 @t23)))) % 254.03/254.36 (assume @p24 @t30) % 254.03/254.36 (assume @p25 (forall @t4 (not (and @t6 (not @t24) @t23)))) % 254.03/254.36 (assume @p26 @t33) % 254.03/254.36 (step @p27 :rule eq-symm :args (@t34 @t12)) % 254.03/254.36 (step @p28 :rule refl :args (@t12)) % 254.03/254.36 (step @p29 :rule eq-symm :args (@t10 @t8)) % 254.03/254.36 (step @p30 :rule cong :premises (@p29 @p28) :args (@t13)) % 254.03/254.36 (step @p31 :rule trans :premises (@p30 @p27)) % 254.03/254.36 (step @p32 :rule cong :premises (@p31) :args (@t15)) % 254.03/254.36 (step @p33 :rule eq_resolve :premises (@p4 @p32)) % 254.03/254.36 (step @p34 :rule bool-eq-true :args (@t40)) % 254.03/254.36 (step @p35 :rule eq-refl :args (@t39)) % 254.03/254.36 (step @p36 :rule refl :args (@t40)) % 254.03/254.36 (step @p37 :rule cong :premises (@p36 @p35) :args (@t41)) % 254.03/254.36 (step @p38 :rule trans :premises (@p37 @p34)) % 254.03/254.36 (step @p39 :rule refl :args (@t42)) % 254.03/254.36 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t42 @t41))) % 254.03/254.36 (assume-push @p118 @t42) % 254.03/254.36 (step @p42 :rule instantiate :premises (@p33) :args ((@list @t38 @t36 @t39))) % 254.03/254.36 (step-pop @p119 :rule scope :premises (@p42)) % 254.03/254.36 (step @p43 :rule process_scope :premises (@p119) :args (@t41)) % 254.03/254.36 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 254.03/254.36 (step @p46 :rule implies_elim :premises (@p45)) % 254.03/254.36 (step @p47 :rule chain_m_resolution :premises (@p46 @p33) :args (@t40 @t43 (@list @t42))) % 254.03/254.36 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t46))) % 254.03/254.36 (step @p49 :rule bool-impl-elim :args (@t26 @t24)) % 254.03/254.36 (step @p50 :rule cong :premises (@p49) :args (@t27)) % 254.03/254.36 (step @p51 :rule eq_resolve :premises (@p21 @p50)) % 254.03/254.36 (step @p52 :rule eq-symm :args (@t39 @t44)) % 254.03/254.36 (step @p53 :rule refl :args (@t47)) % 254.03/254.36 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t48)) % 254.03/254.36 (step @p55 :rule refl :args (@t49)) % 254.03/254.36 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t49 @t48))) % 254.03/254.36 (assume-push @p120 @t49) % 254.03/254.36 (step @p58 :rule instantiate :premises (@p51) :args ((@list @t39 @t44))) % 254.03/254.36 (step-pop @p121 :rule scope :premises (@p58)) % 254.03/254.36 (step @p59 :rule process_scope :premises (@p121) :args (@t48)) % 254.03/254.36 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 254.03/254.36 (step @p62 :rule implies_elim :premises (@p61)) % 254.03/254.36 (step @p63 :rule chain_m_resolution :premises (@p62 @p51) :args (@t51 @t43 (@list @t49))) % 254.03/254.36 (step @p64 :rule bool-impl-elim :args (@t16 @t31)) % 254.03/254.36 (step @p65 :rule cong :premises (@p64) :args (@t32)) % 254.03/254.36 (step @p66 :rule cong :premises (@p65) :args (@t33)) % 254.03/254.36 (step @p67 :rule eq_resolve :premises (@p26 @p66)) % 254.03/254.36 (step @p68 :rule skolemize :premises (@p67)) % 254.03/254.36 (step @p69 :rule cnf_or_neg :args (@t54 1)) % 254.03/254.36 (step @p70 :rule chain_m_resolution :premises (@p69 @p68) :args ((not @t50) @t55 @t56)) % 254.03/254.36 (step @p71 :rule cnf_or_pos :args (@t51)) % 254.03/254.37 (step @p72 :rule reordering :premises (@p71) :args ((or @t50 @t47 (not @t51)))) % 254.03/254.37 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p63) :args (@t47 @t57 (@list @t50 @t51))) % 254.03/254.37 (step @p74 :rule skolemize :premises (@p73)) % 254.03/254.37 (step @p75 :rule cnf_equiv_neg2 :args (@t60)) % 254.03/254.37 (step @p76 :rule cnf_equiv_pos1 :args (@t64)) % 254.03/254.37 (step @p77 :rule reordering :premises (@p76) :args ((or @t66 @t63 @t65))) % 254.03/254.37 (step @p78 :rule bool-impl-elim :args (@t29 @t28)) % 254.03/254.37 (step @p79 :rule cong :premises (@p78) :args (@t30)) % 254.03/254.37 (step @p80 :rule eq_resolve :premises (@p24 @p79)) % 254.03/254.37 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t46 @t36 @t37))) % 254.03/254.37 (step @p82 :rule bool-double-not-elim :args (@t52)) % 254.03/254.37 (step @p83 :rule refl :args (@t54)) % 254.03/254.37 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t54 (not @t53)))) % 254.03/254.37 (step @p85 :rule cnf_or_neg :args (@t54 0)) % 254.03/254.37 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 254.03/254.37 (step @p87 :rule reordering :premises (@p86) :args ((or @t52 @t54))) % 254.03/254.37 (step @p88 :rule chain_m_resolution :premises (@p87 @p68) :args (@t52 @t55 @t56)) % 254.03/254.37 (step @p89 :rule cnf_or_pos :args (@t69)) % 254.03/254.37 (step @p90 :rule reordering :premises (@p89) :args ((or @t53 @t68 (not @t69)))) % 254.03/254.37 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p81) :args (@t68 @t70 (@list @t52 @t69))) % 254.03/254.37 (step @p92 :rule cnf_equiv_pos2 :args (@t68)) % 254.03/254.37 (step @p93 :rule reordering :premises (@p92) :args ((or @t58 @t72 @t71))) % 254.03/254.37 (step @p94 :rule cnf_and_pos :args (@t63 0)) % 254.03/254.37 (step @p95 :rule reordering :premises (@p94) :args ((or @t62 @t73))) % 254.03/254.37 (step @p96 :rule cnf_and_pos :args (@t63 1)) % 254.03/254.37 (step @p97 :rule reordering :premises (@p96) :args ((or @t61 @t73))) % 254.03/254.37 (step @p98 :rule cnf_and_neg :args (@t67)) % 254.03/254.37 (step @p99 :rule chain_m_resolution :premises (@p98 @p97 @p95 @p93 @p91 @p77 @p48 @p75 @p74) :args (@t66 (@list false false true false false false true true) (@list @t61 @t62 @t67 @t68 @t63 @t64 @t58 @t60))) % 254.03/254.37 (step @p100 :rule cnf_equiv_pos2 :args (@t64)) % 254.03/254.37 (step @p101 :rule reordering :premises (@p100) :args ((or @t59 @t73 @t65))) % 254.03/254.37 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p48) :args (@t73 @t57 (@list @t59 @t64))) % 254.03/254.37 (step @p103 :rule cnf_equiv_neg1 :args (@t60)) % 254.03/254.37 (step @p104 :rule reordering :premises (@p103) :args ((or @t59 @t58 @t60))) % 254.03/254.37 (step @p105 :rule chain_m_resolution :premises (@p104 @p99 @p74) :args (@t58 (@list true true) (@list @t59 @t60))) % 254.03/254.37 (step @p106 :rule cnf_equiv_pos1 :args (@t68)) % 254.03/254.37 (step @p107 :rule reordering :premises (@p106) :args ((or (not @t58) @t67 @t71))) % 254.03/254.37 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p91) :args (@t67 @t70 (@list @t58 @t68))) % 254.03/254.37 (step @p109 :rule cnf_and_pos :args (@t67 0)) % 254.03/254.37 (step @p110 :rule reordering :premises (@p109) :args ((or @t61 @t72))) % 254.03/254.37 (step @p111 :rule chain_m_resolution :premises (@p110 @p108) :args (@t61 @t43 @t74)) % 254.03/254.37 (step @p112 :rule cnf_and_pos :args (@t67 1)) % 254.03/254.37 (step @p113 :rule reordering :premises (@p112) :args ((or @t62 @t72))) % 254.03/254.37 (step @p114 :rule chain_m_resolution :premises (@p113 @p108) :args (@t62 @t43 @t74)) % 254.03/254.37 (step @p115 :rule cnf_and_neg :args (@t63)) % 254.03/254.37 (step @p116 :rule reordering :premises (@p115) :args ((or @t63 (not @t61) (not @t62)))) % 254.03/254.37 (step @p117 false :rule chain_m_resolution :premises (@p116 @p114 @p111 @p102) :args (false (@list false false true) (@list @t62 @t61 @t63))) % 254.03/254.37 ) % 254.03/254.37 % SZS output end Proof % 254.03/254.37 % cvc5 exiting %------------------------------------------------------------------------------