%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV236+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 09:00:47 AM UTC 2026 % Result : Theorem 0.46s 0.69s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV236+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n007.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:58:56 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.69 % SZS status Theorem % 0.46/0.69 % SZS output start Proof % 0.46/0.69 ( % 0.46/0.69 (declare-sort $$unsorted 0) % 0.46/0.69 (declare-const tptp.a $$unsorted) % 0.46/0.69 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.km $$unsorted) % 0.46/0.69 (declare-const tptp.kp $$unsorted) % 0.46/0.69 (declare-const tptp.exp $$unsorted) % 0.46/0.69 (declare-const tptp.decrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.eurk $$unsorted) % 0.46/0.69 (declare-const tptp.id $$unsorted) % 0.46/0.69 (declare-const tptp.p (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.imp $$unsorted) % 0.46/0.69 (declare-const tptp.crypt (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.data $$unsorted) % 0.46/0.69 (declare-const tptp.pin $$unsorted) % 0.46/0.69 (declare-const tptp.pp $$unsorted) % 0.46/0.69 (define @t1 () (@var "X1" $$unsorted)) % 0.46/0.69 (define @t2 () (@var "X2" $$unsorted)) % 0.46/0.69 (define @t3 () (tptp.xor @t1 @t2)) % 0.46/0.69 (define @t4 () (@list @t1 @t2)) % 0.46/0.69 (define @t5 () (@var "X3" $$unsorted)) % 0.46/0.69 (define @t6 () (tptp.crypt @t1 @t2)) % 0.46/0.69 (define @t7 () (tptp.decrypt @t1 @t6)) % 0.46/0.69 (define @t8 () (forall @t4 (= @t7 @t2))) % 0.46/0.69 (define @t9 () (@list @t1)) % 0.46/0.69 (define @t10 () (@var "Xk1" $$unsorted)) % 0.46/0.69 (define @t11 () (@var "Xtype1" $$unsorted)) % 0.46/0.69 (define @t12 () (@var "Xkek1" $$unsorted)) % 0.46/0.69 (define @t13 () (tptp.crypt (tptp.xor @t12 @t11) @t10)) % 0.46/0.69 (define @t14 () (@var "Xtype2" $$unsorted)) % 0.46/0.69 (define @t15 () (@var "Xkek2" $$unsorted)) % 0.46/0.69 (define @t16 () (tptp.xor tptp.km tptp.imp)) % 0.46/0.69 (define @t17 () (tptp.p @t14)) % 0.46/0.69 (define @t18 () (@var "Xtype" $$unsorted)) % 0.46/0.69 (define @t19 () (tptp.p (tptp.crypt (tptp.xor @t12 @t18) @t10))) % 0.46/0.69 (define @t20 () (tptp.xor tptp.km tptp.exp)) % 0.46/0.69 (define @t21 () (tptp.p (tptp.crypt @t20 @t12))) % 0.46/0.69 (define @t22 () (tptp.p @t18)) % 0.46/0.69 (define @t23 () (tptp.xor tptp.km @t18)) % 0.46/0.69 (define @t24 () (tptp.p (tptp.crypt @t23 @t10))) % 0.46/0.69 (define @t25 () (and @t24 @t22 @t21)) % 0.46/0.69 (define @t26 () (forall (@list @t18 @t10 @t12) (=> @t25 @t19))) % 0.46/0.69 (define @t27 () (@var "Xk" $$unsorted)) % 0.46/0.69 (define @t28 () (tptp.xor tptp.km (tptp.xor tptp.kp @t18))) % 0.46/0.69 (define @t29 () (@var "Xk2" $$unsorted)) % 0.46/0.69 (define @t30 () (tptp.xor tptp.km (tptp.xor @t18 tptp.kp))) % 0.46/0.69 (define @t31 () (tptp.p @t10)) % 0.46/0.69 (define @t32 () (@list @t10 @t18 @t29)) % 0.46/0.69 (define @t33 () (tptp.xor tptp.km tptp.data)) % 0.46/0.69 (define @t34 () (tptp.p (tptp.crypt @t33 @t10))) % 0.46/0.69 (define @t35 () (tptp.p @t1)) % 0.46/0.69 (define @t36 () (and @t35 @t34)) % 0.46/0.69 (define @t37 () (@list @t1 @t10)) % 0.46/0.69 (define @t38 () (tptp.p (tptp.decrypt @t10 @t1))) % 0.46/0.69 (define @t39 () (forall @t37 (=> @t36 @t38))) % 0.46/0.69 (define @t40 () (tptp.crypt @t27 @t10)) % 0.46/0.69 (define @t41 () (tptp.p @t2)) % 0.46/0.69 (define @t42 () (tptp.p @t6)) % 0.46/0.69 (define @t43 () (tptp.p (tptp.crypt (tptp.xor @t1 tptp.data) @t2))) % 0.46/0.69 (define @t44 () (forall @t4 (=> @t43 @t42))) % 0.46/0.69 (define @t45 () (tptp.p tptp.data)) % 0.46/0.69 (define @t46 () (tptp.p (tptp.crypt @t20 tptp.eurk))) % 0.46/0.69 (define @t47 () (tptp.p (tptp.crypt @t33 tptp.eurk))) % 0.46/0.69 (define @t48 () (@var "X" $$unsorted)) % 0.46/0.69 (define @t49 () (tptp.p @t48)) % 0.46/0.69 (define @t50 () (tptp.p (tptp.crypt @t20 @t48))) % 0.46/0.69 (define @t51 () (and @t50 @t49)) % 0.46/0.69 (define @t52 () (@list @t48)) % 0.46/0.69 (define @t53 () (exists @t52 @t51)) % 0.46/0.69 (define @t54 () (not @t53)) % 0.46/0.69 (define @t55 () (not @t34)) % 0.46/0.69 (define @t56 () (not @t35)) % 0.46/0.69 (define @t57 () (tptp.crypt tptp.eurk tptp.eurk)) % 0.46/0.69 (define @t58 () (@list tptp.eurk tptp.eurk)) % 0.46/0.69 (define @t59 () (not @t21)) % 0.46/0.69 (define @t60 () (not @t22)) % 0.46/0.69 (define @t61 () (not @t24)) % 0.46/0.69 (define @t62 () (or @t61 @t60 @t59)) % 0.46/0.69 (define @t63 () (tptp.p (tptp.crypt (tptp.xor tptp.eurk tptp.data) tptp.eurk))) % 0.46/0.69 (define @t64 () (not @t46)) % 0.46/0.69 (define @t65 () (not @t45)) % 0.46/0.69 (define @t66 () (not @t47)) % 0.46/0.69 (define @t67 () (or @t66 @t65 @t64 @t63)) % 0.46/0.69 (define @t68 () (tptp.p @t57)) % 0.46/0.69 (define @t69 () (not @t63)) % 0.46/0.69 (define @t70 () (or @t69 @t68)) % 0.46/0.69 (define @t71 () (@list false false)) % 0.46/0.69 (define @t72 () (tptp.p (tptp.decrypt tptp.eurk @t57))) % 0.46/0.69 (define @t73 () (not @t68)) % 0.46/0.69 (define @t74 () (or @t73 @t66 @t72)) % 0.46/0.69 (define @t75 () (tptp.p tptp.eurk)) % 0.46/0.69 (define @t76 () (forall @t52 (not @t51))) % 0.46/0.69 (define @t77 () (not @t76)) % 0.46/0.69 (define @t78 () (not @t75)) % 0.46/0.69 (define @t79 () (or @t64 @t78)) % 0.46/0.69 (assume @p1 (forall @t4 (= @t3 (tptp.xor @t2 @t1)))) % 0.46/0.69 (assume @p2 (forall (@list @t1 @t2 @t5) (= (tptp.xor @t1 (tptp.xor @t2 @t5)) (tptp.xor @t3 @t5)))) % 0.46/0.69 (assume @p3 @t8) % 0.46/0.69 (assume @p4 (forall @t9 (= (tptp.xor @t1 tptp.id) @t1))) % 0.46/0.69 (assume @p5 (forall @t9 (= (tptp.xor @t1 @t1) tptp.id))) % 0.46/0.69 (assume @p6 (forall (@list @t12 @t11 @t10 @t14 @t15) (=> (and (tptp.p @t13) @t17 (tptp.p (tptp.crypt @t16 @t15))) (tptp.p (tptp.crypt (tptp.xor tptp.km @t14) (tptp.decrypt (tptp.xor @t15 @t14) @t13)))))) % 0.46/0.69 (assume @p7 @t26) % 0.46/0.69 (assume @p8 (forall (@list @t27 @t18) (=> (and (tptp.p @t27) @t22) (tptp.p (tptp.crypt @t28 @t27))))) % 0.46/0.69 (assume @p9 (forall @t32 (=> (and @t31 (tptp.p (tptp.crypt @t28 @t29)) @t22) (tptp.p (tptp.crypt @t30 (tptp.xor @t10 @t29)))))) % 0.46/0.69 (assume @p10 (forall @t32 (=> (and @t31 (tptp.p (tptp.crypt @t30 @t29)) @t22) (tptp.p (tptp.crypt @t23 (tptp.xor @t29 @t10)))))) % 0.46/0.69 (assume @p11 (forall @t37 (=> @t36 (tptp.p (tptp.crypt @t10 @t1))))) % 0.46/0.69 (assume @p12 @t39) % 0.46/0.69 (assume @p13 (forall (@list @t27 @t10 @t14 @t12 @t15 @t18) (=> (and (tptp.p @t40) @t17 (tptp.p (tptp.crypt @t16 @t12)) (tptp.p (tptp.crypt @t20 @t15))) (tptp.p (tptp.crypt (tptp.xor @t15 @t18) (tptp.decrypt (tptp.xor @t14 @t12) @t40)))))) % 0.46/0.69 (assume @p14 (forall @t4 (=> (and @t35 @t41) (tptp.p @t3)))) % 0.46/0.69 (assume @p15 (forall @t4 (=> (and @t42 @t35) @t41))) % 0.46/0.69 (assume @p16 (forall @t4 (=> (and @t41 @t35) @t42))) % 0.46/0.69 (assume @p17 @t44) % 0.46/0.69 (assume @p18 (tptp.p tptp.kp)) % 0.46/0.69 (assume @p19 (tptp.p tptp.imp)) % 0.46/0.69 (assume @p20 @t45) % 0.46/0.69 (assume @p21 (tptp.p tptp.id)) % 0.46/0.69 (assume @p22 (tptp.p tptp.pin)) % 0.46/0.69 (assume @p23 (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.pin) tptp.pp))) % 0.46/0.69 (assume @p24 @t46) % 0.46/0.69 (assume @p25 @t47) % 0.46/0.69 (assume @p26 (tptp.p tptp.exp)) % 0.46/0.69 (assume @p27 (tptp.p tptp.a)) % 0.46/0.69 (assume @p28 @t54) % 0.46/0.69 (assume @p29 true) % 0.46/0.69 (step @p30 :rule evaluate :args ((= false true))) % 0.46/0.69 (step @p31 :rule aci_norm :args ((= (or (or @t56 @t55) @t38) (or @t56 @t55 @t38)))) % 0.46/0.69 (step @p32 :rule refl :args (@t38)) % 0.46/0.69 (step @p33 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.46/0.69 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t36) @t38))) % 0.46/0.69 (step @p35 :rule trans :premises (@p34 @p31)) % 0.46/0.69 (step @p36 :rule bool-impl-elim :args (@t36 @t38)) % 0.46/0.69 (step @p37 :rule trans :premises (@p36 @p35)) % 0.46/0.69 (step @p38 :rule cong :premises (@p37) :args (@t39)) % 0.46/0.69 (step @p39 :rule eq_resolve :premises (@p12 @p38)) % 0.46/0.69 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t57 tptp.eurk))) % 0.46/0.69 (step @p41 :rule bool-impl-elim :args (@t43 @t42)) % 0.46/0.69 (step @p42 :rule cong :premises (@p41) :args (@t44)) % 0.46/0.69 (step @p43 :rule eq_resolve :premises (@p17 @p42)) % 0.46/0.69 (step @p44 :rule instantiate :premises (@p43) :args (@t58)) % 0.46/0.69 (step @p45 :rule aci_norm :args ((= (or @t62 @t19) (or @t61 @t60 @t59 @t19)))) % 0.46/0.69 (step @p46 :rule refl :args (@t19)) % 0.46/0.69 (step @p47 :rule aci_norm :args ((= (or @t61 (or @t60 @t59)) @t62))) % 0.46/0.69 (step @p48 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.46/0.69 (step @p49 :rule refl :args (@t61)) % 0.46/0.69 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t61 (not (and @t22 @t21))))) % 0.46/0.69 (step @p51 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21))) % 0.46/0.69 (step @p52 :rule trans :premises (@p51 @p50)) % 0.46/0.69 (step @p53 :rule trans :premises (@p52 @p47)) % 0.46/0.69 (step @p54 :rule nary_cong :premises (@p53 @p46) :args ((or (not @t25) @t19))) % 0.46/0.69 (step @p55 :rule trans :premises (@p54 @p45)) % 0.46/0.69 (step @p56 :rule bool-impl-elim :args (@t25 @t19)) % 0.46/0.69 (step @p57 :rule trans :premises (@p56 @p55)) % 0.46/0.69 (step @p58 :rule cong :premises (@p57) :args (@t26)) % 0.46/0.69 (step @p59 :rule eq_resolve :premises (@p7 @p58)) % 0.46/0.69 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.data tptp.eurk tptp.eurk))) % 0.46/0.69 (step @p61 :rule cnf_or_pos :args (@t67)) % 0.46/0.69 (step @p62 :rule reordering :premises (@p61) :args ((or @t65 @t64 @t66 @t63 (not @t67)))) % 0.46/0.69 (step @p63 :rule chain_m_resolution :premises (@p62 @p20 @p24 @p25 @p60) :args (@t63 (@list false false false false) (@list @t45 @t46 @t47 @t67))) % 0.46/0.69 (step @p64 :rule cnf_or_pos :args (@t70)) % 0.46/0.69 (step @p65 :rule reordering :premises (@p64) :args ((or @t69 @t68 (not @t70)))) % 0.46/0.69 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p44) :args (@t68 @t71 (@list @t63 @t70))) % 0.46/0.69 (step @p67 :rule cnf_or_pos :args (@t74)) % 0.46/0.69 (step @p68 :rule reordering :premises (@p67) :args ((or @t66 @t73 @t72 (not @t74)))) % 0.46/0.69 (step @p69 :rule chain_m_resolution :premises (@p68 @p25 @p66 @p40) :args (@t72 (@list false false false) (@list @t47 @t68 @t74))) % 0.46/0.69 (step @p70 :rule true_intro :premises (@p69)) % 0.46/0.69 (step @p71 :rule eq-symm :args (@t7 @t2)) % 0.46/0.69 (step @p72 :rule cong :premises (@p71) :args (@t8)) % 0.46/0.69 (step @p73 :rule eq_resolve :premises (@p3 @p72)) % 0.46/0.69 (step @p74 :rule instantiate :premises (@p73) :args (@t58)) % 0.46/0.69 (step @p75 :rule cong :premises (@p74) :args (@t75)) % 0.46/0.69 (step @p76 :rule bool-double-not-elim :args ((forall @t52 (or (not @t50) (not @t49))))) % 0.46/0.69 (step @p77 :rule bool-and-de-morgan :args (@t50 @t49 true)) % 0.46/0.69 (step @p78 :rule cong :premises (@p77) :args (@t76)) % 0.46/0.69 (step @p79 :rule cong :premises (@p78) :args (@t77)) % 0.46/0.69 (step @p80 :rule exists-elim :args ((= @t53 @t77))) % 0.46/0.69 (step @p81 :rule trans :premises (@p80 @p79)) % 0.46/0.69 (step @p82 :rule cong :premises (@p81) :args (@t54)) % 0.46/0.69 (step @p83 :rule trans :premises (@p82 @p76)) % 0.46/0.69 (step @p84 :rule eq_resolve :premises (@p28 @p83)) % 0.46/0.69 (step @p85 :rule instantiate :premises (@p84) :args ((@list tptp.eurk))) % 0.46/0.69 (step @p86 :rule cnf_or_pos :args (@t79)) % 0.46/0.69 (step @p87 :rule reordering :premises (@p86) :args ((or @t64 @t78 (not @t79)))) % 0.46/0.69 (step @p88 :rule chain_m_resolution :premises (@p87 @p24 @p85) :args (@t78 @t71 (@list @t46 @t79))) % 0.46/0.69 (step @p89 :rule false_intro :premises (@p88)) % 0.46/0.69 (step @p90 :rule symm :premises (@p89)) % 0.46/0.69 (step @p91 :rule trans :premises (@p90 @p75 @p70)) % 0.46/0.69 (step @p92 false :rule eq_resolve :premises (@p91 @p30)) % 0.46/0.69 ) % 0.46/0.69 % SZS output end Proof % 0.46/0.70 % cvc5 exiting %------------------------------------------------------------------------------