%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV235+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 : n010.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 09:00:46 AM UTC 2026 % Result : Theorem 2.62s 2.86s % Output : Proof 2.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV235+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:59:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 2.62/2.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.62/2.86 % SZS status Theorem % 2.62/2.86 % SZS output start Proof % 2.62/2.86 ( % 2.62/2.86 (declare-sort $$unsorted 0) % 2.62/2.86 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.86 (declare-const tptp.km $$unsorted) % 2.62/2.86 (declare-const tptp.kp $$unsorted) % 2.62/2.86 (declare-const tptp.a $$unsorted) % 2.62/2.86 (declare-const tptp.exp $$unsorted) % 2.62/2.86 (declare-const tptp.kek $$unsorted) % 2.62/2.86 (declare-const tptp.decrypt (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.86 (declare-const tptp.id $$unsorted) % 2.62/2.86 (declare-const tptp.p (-> $$unsorted Bool)) % 2.62/2.86 (declare-const tptp.pin $$unsorted) % 2.62/2.86 (declare-const tptp.imp $$unsorted) % 2.62/2.86 (declare-const tptp.crypt (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.86 (declare-const tptp.data $$unsorted) % 2.62/2.86 (declare-const tptp.rand $$unsorted) % 2.62/2.86 (declare-const tptp.pp $$unsorted) % 2.62/2.86 (define @t1 () (@var "X1" $$unsorted)) % 2.62/2.86 (define @t2 () (@var "X2" $$unsorted)) % 2.62/2.86 (define @t3 () (tptp.xor @t1 @t2)) % 2.62/2.86 (define @t4 () (@list @t1 @t2)) % 2.62/2.86 (define @t5 () (@var "X3" $$unsorted)) % 2.62/2.86 (define @t6 () (tptp.crypt @t1 @t2)) % 2.62/2.86 (define @t7 () (@list @t1)) % 2.62/2.86 (define @t8 () (@var "Xk1" $$unsorted)) % 2.62/2.86 (define @t9 () (@var "Xtype1" $$unsorted)) % 2.62/2.86 (define @t10 () (@var "Xkek1" $$unsorted)) % 2.62/2.86 (define @t11 () (tptp.crypt (tptp.xor @t10 @t9) @t8)) % 2.62/2.86 (define @t12 () (@var "Xtype2" $$unsorted)) % 2.62/2.86 (define @t13 () (@var "Xkek2" $$unsorted)) % 2.62/2.86 (define @t14 () (tptp.xor tptp.km tptp.imp)) % 2.62/2.86 (define @t15 () (tptp.p @t12)) % 2.62/2.86 (define @t16 () (@var "Xtype" $$unsorted)) % 2.62/2.86 (define @t17 () (tptp.p (tptp.crypt (tptp.xor @t10 @t16) @t8))) % 2.62/2.86 (define @t18 () (tptp.xor tptp.km tptp.exp)) % 2.62/2.86 (define @t19 () (tptp.p (tptp.crypt @t18 @t10))) % 2.62/2.86 (define @t20 () (tptp.p @t16)) % 2.62/2.86 (define @t21 () (tptp.xor tptp.km @t16)) % 2.62/2.86 (define @t22 () (tptp.p (tptp.crypt @t21 @t8))) % 2.62/2.86 (define @t23 () (and @t22 @t20 @t19)) % 2.62/2.86 (define @t24 () (forall (@list @t16 @t8 @t10) (=> @t23 @t17))) % 2.62/2.86 (define @t25 () (@var "Xk" $$unsorted)) % 2.62/2.86 (define @t26 () (tptp.xor tptp.km (tptp.xor tptp.kp @t16))) % 2.62/2.86 (define @t27 () (tptp.p (tptp.crypt @t26 @t25))) % 2.62/2.86 (define @t28 () (tptp.p @t25)) % 2.62/2.86 (define @t29 () (and @t28 @t20)) % 2.62/2.86 (define @t30 () (forall (@list @t25 @t16) (=> @t29 @t27))) % 2.62/2.86 (define @t31 () (@var "Xk2" $$unsorted)) % 2.62/2.86 (define @t32 () (tptp.xor tptp.km (tptp.xor @t16 tptp.kp))) % 2.62/2.86 (define @t33 () (tptp.p @t8)) % 2.62/2.86 (define @t34 () (@list @t8 @t16 @t31)) % 2.62/2.86 (define @t35 () (tptp.p (tptp.crypt @t21 (tptp.xor @t31 @t8)))) % 2.62/2.86 (define @t36 () (tptp.p (tptp.crypt @t32 @t31))) % 2.62/2.86 (define @t37 () (and @t33 @t36 @t20)) % 2.62/2.86 (define @t38 () (forall @t34 (=> @t37 @t35))) % 2.62/2.86 (define @t39 () (tptp.p @t1)) % 2.62/2.86 (define @t40 () (and @t39 (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.data) @t8)))) % 2.62/2.86 (define @t41 () (@list @t1 @t8)) % 2.62/2.86 (define @t42 () (tptp.crypt @t25 @t8)) % 2.62/2.86 (define @t43 () (tptp.p @t3)) % 2.62/2.86 (define @t44 () (tptp.p @t2)) % 2.62/2.86 (define @t45 () (and @t39 @t44)) % 2.62/2.86 (define @t46 () (forall @t4 (=> @t45 @t43))) % 2.62/2.86 (define @t47 () (tptp.p @t6)) % 2.62/2.86 (define @t48 () (and @t47 @t39)) % 2.62/2.86 (define @t49 () (forall @t4 (=> @t48 @t44))) % 2.62/2.86 (define @t50 () (and @t44 @t39)) % 2.62/2.86 (define @t51 () (forall @t4 (=> @t50 @t47))) % 2.62/2.86 (define @t52 () (tptp.p tptp.imp)) % 2.62/2.86 (define @t53 () (tptp.p tptp.pin)) % 2.62/2.86 (define @t54 () (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.pin) tptp.pp))) % 2.62/2.86 (define @t55 () (tptp.xor tptp.imp tptp.exp)) % 2.62/2.86 (define @t56 () (tptp.p tptp.exp)) % 2.62/2.86 (define @t57 () (tptp.p tptp.a)) % 2.62/2.86 (define @t58 () (tptp.p (tptp.crypt tptp.pp tptp.a))) % 2.62/2.86 (define @t59 () (not @t39)) % 2.62/2.86 (define @t60 () (not @t47)) % 2.62/2.86 (define @t61 () (or @t60 @t59 @t44)) % 2.62/2.86 (define @t62 () (not @t19)) % 2.62/2.86 (define @t63 () (not @t20)) % 2.62/2.86 (define @t64 () (not @t22)) % 2.62/2.86 (define @t65 () (or @t64 @t63 @t62)) % 2.62/2.86 (define @t66 () (not @t36)) % 2.62/2.86 (define @t67 () (not @t33)) % 2.62/2.86 (define @t68 () (or @t67 @t66 @t63)) % 2.62/2.86 (define @t69 () (not @t28)) % 2.62/2.86 (define @t70 () (@list tptp.imp tptp.exp)) % 2.62/2.86 (define @t71 () (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor tptp.kp tptp.exp)) tptp.imp))) % 2.62/2.86 (define @t72 () (not @t56)) % 2.62/2.86 (define @t73 () (not @t52)) % 2.62/2.86 (define @t74 () (or @t73 @t72 @t71)) % 2.62/2.86 (define @t75 () (@list false false false)) % 2.62/2.86 (define @t76 () (tptp.xor tptp.km (tptp.xor tptp.exp tptp.kp))) % 2.62/2.86 (define @t77 () (tptp.crypt @t76 tptp.imp)) % 2.62/2.86 (define @t78 () (tptp.p @t77)) % 2.62/2.86 (define @t79 () (tptp.p (tptp.crypt @t18 @t55))) % 2.62/2.86 (define @t80 () (not @t78)) % 2.62/2.86 (define @t81 () (or @t72 @t80 @t72 @t79)) % 2.62/2.86 (define @t82 () (tptp.xor @t55 tptp.pin)) % 2.62/2.86 (define @t83 () (tptp.p (tptp.crypt @t82 tptp.pp))) % 2.62/2.86 (define @t84 () (not @t79)) % 2.62/2.86 (define @t85 () (not @t53)) % 2.62/2.86 (define @t86 () (not @t54)) % 2.62/2.86 (define @t87 () (or @t86 @t85 @t84 @t83)) % 2.62/2.86 (define @t88 () (not @t44)) % 2.62/2.86 (define @t89 () (tptp.p @t55)) % 2.62/2.86 (define @t90 () (or @t73 @t72 @t89)) % 2.62/2.86 (define @t91 () (tptp.p @t82)) % 2.62/2.86 (define @t92 () (not @t89)) % 2.62/2.86 (define @t93 () (or @t92 @t85 @t91)) % 2.62/2.86 (define @t94 () (tptp.p tptp.pp)) % 2.62/2.86 (define @t95 () (not @t94)) % 2.62/2.86 (define @t96 () (not @t57)) % 2.62/2.86 (define @t97 () (or @t96 @t95 @t58)) % 2.62/2.86 (define @t98 () (@list true false false)) % 2.62/2.86 (define @t99 () (not @t91)) % 2.62/2.86 (define @t100 () (not @t83)) % 2.62/2.86 (define @t101 () (or @t100 @t99 @t94)) % 2.62/2.86 (define @t102 () (not @t101)) % 2.62/2.86 (define @t103 () (forall @t4 @t61)) % 2.62/2.86 (assume @p1 (forall @t4 (= @t3 (tptp.xor @t2 @t1)))) % 2.62/2.86 (assume @p2 (forall (@list @t1 @t2 @t5) (= (tptp.xor @t1 (tptp.xor @t2 @t5)) (tptp.xor @t3 @t5)))) % 2.62/2.86 (assume @p3 (forall @t4 (= (tptp.decrypt @t1 @t6) @t2))) % 2.62/2.86 (assume @p4 (forall @t7 (= (tptp.xor @t1 tptp.id) @t1))) % 2.62/2.86 (assume @p5 (forall @t7 (= (tptp.xor @t1 @t1) tptp.id))) % 2.62/2.86 (assume @p6 (forall (@list @t10 @t9 @t8 @t12 @t13) (=> (and (tptp.p @t11) @t15 (tptp.p (tptp.crypt @t14 @t13))) (tptp.p (tptp.crypt (tptp.xor tptp.km @t12) (tptp.decrypt (tptp.xor @t13 @t12) @t11)))))) % 2.62/2.86 (assume @p7 @t24) % 2.62/2.86 (assume @p8 @t30) % 2.62/2.86 (assume @p9 (forall @t34 (=> (and @t33 (tptp.p (tptp.crypt @t26 @t31)) @t20) (tptp.p (tptp.crypt @t32 (tptp.xor @t8 @t31)))))) % 2.62/2.86 (assume @p10 @t38) % 2.62/2.86 (assume @p11 (forall @t41 (=> @t40 (tptp.p (tptp.crypt @t8 @t1))))) % 2.62/2.86 (assume @p12 (forall @t41 (=> @t40 (tptp.p (tptp.decrypt @t8 @t1))))) % 2.62/2.86 (assume @p13 (forall (@list @t25 @t8 @t12 @t10 @t13 @t16) (=> (and (tptp.p @t42) @t15 (tptp.p (tptp.crypt @t14 @t10)) (tptp.p (tptp.crypt @t18 @t13))) (tptp.p (tptp.crypt (tptp.xor @t13 @t16) (tptp.decrypt (tptp.xor @t12 @t10) @t42)))))) % 2.62/2.86 (assume @p14 @t46) % 2.62/2.86 (assume @p15 @t49) % 2.62/2.86 (assume @p16 @t51) % 2.62/2.86 (assume @p17 (tptp.p tptp.kp)) % 2.62/2.86 (assume @p18 @t52) % 2.62/2.86 (assume @p19 (tptp.p tptp.data)) % 2.62/2.86 (assume @p20 (tptp.p tptp.id)) % 2.62/2.86 (assume @p21 @t53) % 2.62/2.86 (assume @p22 @t54) % 2.62/2.86 (assume @p23 (tptp.p (tptp.crypt @t14 (tptp.xor tptp.rand @t55)))) % 2.62/2.86 (assume @p24 (tptp.p (tptp.crypt @t14 tptp.rand))) % 2.62/2.86 (assume @p25 (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor tptp.imp tptp.kp)) tptp.kek))) % 2.62/2.86 (assume @p26 (tptp.p (tptp.crypt (tptp.xor tptp.rand tptp.imp) tptp.kek))) % 2.62/2.86 (assume @p27 @t56) % 2.62/2.86 (assume @p28 @t57) % 2.62/2.86 (assume @p29 (not @t58)) % 2.62/2.86 (assume @p30 true) % 2.62/2.86 (step @p31 :rule aci_norm :args ((= (or (or @t60 @t59) @t44) @t61))) % 2.62/2.86 (step @p32 :rule refl :args (@t44)) % 2.62/2.86 (step @p33 :rule bool-and-de-morgan :args (@t47 @t39 true)) % 2.62/2.86 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t48) @t44))) % 2.62/2.86 (step @p35 :rule trans :premises (@p34 @p31)) % 2.62/2.86 (step @p36 :rule bool-impl-elim :args (@t48 @t44)) % 2.62/2.86 (step @p37 :rule trans :premises (@p36 @p35)) % 2.62/2.86 (step @p38 :rule cong :premises (@p37) :args (@t49)) % 2.62/2.86 (step @p39 :rule eq_resolve :premises (@p15 @p38)) % 2.62/2.86 (step @p40 :rule aci_norm :args ((= (or @t65 @t17) (or @t64 @t63 @t62 @t17)))) % 2.62/2.86 (step @p41 :rule refl :args (@t17)) % 2.62/2.86 (step @p42 :rule aci_norm :args ((= (or @t64 (or @t63 @t62)) @t65))) % 2.62/2.86 (step @p43 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 2.62/2.86 (step @p44 :rule refl :args (@t64)) % 2.62/2.86 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t64 (not (and @t20 @t19))))) % 2.62/2.86 (step @p46 :rule bool-and-de-morgan :args (@t22 @t20 (and @t19))) % 2.62/2.86 (step @p47 :rule trans :premises (@p46 @p45)) % 2.62/2.86 (step @p48 :rule trans :premises (@p47 @p42)) % 2.62/2.86 (step @p49 :rule nary_cong :premises (@p48 @p41) :args ((or (not @t23) @t17))) % 2.62/2.86 (step @p50 :rule trans :premises (@p49 @p40)) % 2.62/2.86 (step @p51 :rule bool-impl-elim :args (@t23 @t17)) % 2.62/2.86 (step @p52 :rule trans :premises (@p51 @p50)) % 2.62/2.86 (step @p53 :rule cong :premises (@p52) :args (@t24)) % 2.62/2.86 (step @p54 :rule eq_resolve :premises (@p7 @p53)) % 2.62/2.86 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.pin tptp.pp @t55))) % 2.62/2.86 (step @p56 :rule aci_norm :args ((= (or @t68 @t35) (or @t67 @t66 @t63 @t35)))) % 2.62/2.86 (step @p57 :rule refl :args (@t35)) % 2.62/2.86 (step @p58 :rule aci_norm :args ((= (or @t67 (or @t66 @t63)) @t68))) % 2.62/2.86 (step @p59 :rule bool-and-de-morgan :args (@t36 @t20 true)) % 2.62/2.86 (step @p60 :rule refl :args (@t67)) % 2.62/2.86 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t67 (not (and @t36 @t20))))) % 2.62/2.86 (step @p62 :rule bool-and-de-morgan :args (@t33 @t36 (and @t20))) % 2.62/2.86 (step @p63 :rule trans :premises (@p62 @p61)) % 2.62/2.86 (step @p64 :rule trans :premises (@p63 @p58)) % 2.62/2.86 (step @p65 :rule nary_cong :premises (@p64 @p57) :args ((or (not @t37) @t35))) % 2.62/2.86 (step @p66 :rule trans :premises (@p65 @p56)) % 2.62/2.86 (step @p67 :rule bool-impl-elim :args (@t37 @t35)) % 2.62/2.86 (step @p68 :rule trans :premises (@p67 @p66)) % 2.62/2.86 (step @p69 :rule cong :premises (@p68) :args (@t38)) % 2.62/2.86 (step @p70 :rule eq_resolve :premises (@p10 @p69)) % 2.62/2.86 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.exp tptp.exp tptp.imp))) % 2.62/2.86 (step @p72 :rule aci_norm :args ((= (or (or @t69 @t63) @t27) (or @t69 @t63 @t27)))) % 2.62/2.86 (step @p73 :rule refl :args (@t27)) % 2.62/2.86 (step @p74 :rule bool-and-de-morgan :args (@t28 @t20 true)) % 2.62/2.86 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t29) @t27))) % 2.62/2.86 (step @p76 :rule trans :premises (@p75 @p72)) % 2.62/2.86 (step @p77 :rule bool-impl-elim :args (@t29 @t27)) % 2.62/2.86 (step @p78 :rule trans :premises (@p77 @p76)) % 2.62/2.86 (step @p79 :rule cong :premises (@p78) :args (@t30)) % 2.62/2.86 (step @p80 :rule eq_resolve :premises (@p8 @p79)) % 2.62/2.86 (step @p81 :rule instantiate :premises (@p80) :args (@t70)) % 2.62/2.86 (step @p82 :rule cnf_or_pos :args (@t74)) % 2.62/2.86 (step @p83 :rule reordering :premises (@p82) :args ((or @t73 @t72 @t71 (not @t74)))) % 2.62/2.86 (step @p84 :rule chain_m_resolution :premises (@p83 @p18 @p27 @p81) :args (@t71 @t75 (@list @t52 @t56 @t74))) % 2.62/2.86 (step @p85 :rule true_intro :premises (@p84)) % 2.62/2.86 (step @p86 :rule refl :args (tptp.imp)) % 2.62/2.86 (step @p87 :rule instantiate :premises (@p1) :args ((@list tptp.exp tptp.kp))) % 2.62/2.86 (step @p88 :rule refl :args (tptp.km)) % 2.62/2.86 (step @p89 :rule cong :premises (@p88 @p87) :args (@t76)) % 2.62/2.86 (step @p90 :rule cong :premises (@p89 @p86) :args (@t77)) % 2.62/2.86 (step @p91 :rule cong :premises (@p90) :args (@t78)) % 2.62/2.86 (step @p92 :rule trans :premises (@p91 @p85)) % 2.62/2.86 (step @p93 :rule true_elim :premises (@p92)) % 2.62/2.86 (step @p94 :rule cnf_or_pos :args (@t81)) % 2.62/2.86 (step @p95 :rule factoring :premises (@p94)) % 2.62/2.86 (step @p96 :rule reordering :premises (@p95) :args ((or @t72 @t80 @t79 (not @t81)))) % 2.62/2.86 (step @p97 :rule chain_m_resolution :premises (@p96 @p27 @p93 @p71) :args (@t79 @t75 (@list @t56 @t78 @t81))) % 2.62/2.86 (step @p98 :rule cnf_or_pos :args (@t87)) % 2.62/2.86 (step @p99 :rule reordering :premises (@p98) :args ((or @t85 @t86 @t84 @t83 (not @t87)))) % 2.62/2.86 (step @p100 :rule chain_m_resolution :premises (@p99 @p21 @p22 @p97 @p55) :args (@t83 (@list false false false false) (@list @t53 @t54 @t79 @t87))) % 2.62/2.86 (step @p101 :rule aci_norm :args ((= (or (or @t59 @t88) @t43) (or @t59 @t88 @t43)))) % 2.62/2.86 (step @p102 :rule refl :args (@t43)) % 2.62/2.86 (step @p103 :rule bool-and-de-morgan :args (@t39 @t44 true)) % 2.62/2.86 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t45) @t43))) % 2.62/2.86 (step @p105 :rule trans :premises (@p104 @p101)) % 2.62/2.86 (step @p106 :rule bool-impl-elim :args (@t45 @t43)) % 2.62/2.86 (step @p107 :rule trans :premises (@p106 @p105)) % 2.62/2.86 (step @p108 :rule cong :premises (@p107) :args (@t46)) % 2.62/2.86 (step @p109 :rule eq_resolve :premises (@p14 @p108)) % 2.62/2.86 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t55 tptp.pin))) % 2.62/2.86 (step @p111 :rule instantiate :premises (@p109) :args (@t70)) % 2.62/2.86 (step @p112 :rule cnf_or_pos :args (@t90)) % 2.62/2.86 (step @p113 :rule reordering :premises (@p112) :args ((or @t73 @t72 @t89 (not @t90)))) % 2.62/2.86 (step @p114 :rule chain_m_resolution :premises (@p113 @p18 @p27 @p111) :args (@t89 @t75 (@list @t52 @t56 @t90))) % 2.62/2.86 (step @p115 :rule cnf_or_pos :args (@t93)) % 2.62/2.86 (step @p116 :rule reordering :premises (@p115) :args ((or @t85 @t92 @t91 (not @t93)))) % 2.62/2.86 (step @p117 :rule chain_m_resolution :premises (@p116 @p21 @p114 @p110) :args (@t91 @t75 (@list @t53 @t89 @t93))) % 2.62/2.86 (step @p118 :rule aci_norm :args ((= (or (or @t88 @t59) @t47) (or @t88 @t59 @t47)))) % 2.62/2.86 (step @p119 :rule refl :args (@t47)) % 2.62/2.86 (step @p120 :rule bool-and-de-morgan :args (@t44 @t39 true)) % 2.62/2.86 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t50) @t47))) % 2.62/2.86 (step @p122 :rule trans :premises (@p121 @p118)) % 2.62/2.86 (step @p123 :rule bool-impl-elim :args (@t50 @t47)) % 2.62/2.86 (step @p124 :rule trans :premises (@p123 @p122)) % 2.62/2.86 (step @p125 :rule cong :premises (@p124) :args (@t51)) % 2.62/2.86 (step @p126 :rule eq_resolve :premises (@p16 @p125)) % 2.62/2.86 (step @p127 :rule instantiate :premises (@p126) :args ((@list tptp.pp tptp.a))) % 2.62/2.86 (step @p128 :rule cnf_or_pos :args (@t97)) % 2.62/2.86 (step @p129 :rule reordering :premises (@p128) :args ((or @t58 @t96 @t95 (not @t97)))) % 2.62/2.86 (step @p130 :rule chain_m_resolution :premises (@p129 @p29 @p28 @p127) :args (@t95 @t98 (@list @t58 @t57 @t97))) % 2.62/2.86 (step @p131 :rule cnf_or_pos :args (@t101)) % 2.62/2.86 (step @p132 :rule reordering :premises (@p131) :args ((or @t94 @t99 @t100 @t102))) % 2.62/2.86 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p117 @p100) :args (@t102 @t98 (@list @t94 @t91 @t83))) % 2.62/2.86 (assume-push @p140 @t103) % 2.62/2.86 (step @p135 :rule instantiate :premises (@p39) :args ((@list @t82 tptp.pp))) % 2.62/2.86 (step-pop @p141 :rule scope :premises (@p135)) % 2.62/2.86 (step @p136 :rule process_scope :premises (@p141) :args (@t101)) % 2.62/2.86 (step @p138 :rule implies_elim :premises (@p136)) % 2.62/2.86 (step @p139 false :rule chain_m_resolution :premises (@p138 @p133 @p39) :args (false (@list true false) (@list @t101 @t103))) % 2.62/2.86 ) % 2.62/2.86 % SZS output end Proof % 2.62/2.86 % cvc5 exiting %------------------------------------------------------------------------------