%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN312-1 : TPTP v9.2.1. Bugfixed v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 09:08:30 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN312-1 : TPTP v9.2.1. Bugfixed v2.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n005.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 23:23:03 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Unsatisfiable % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.d $$unsorted) % 0.45/0.63 (declare-const tptp.a $$unsorted) % 0.45/0.63 (declare-const tptp.b $$unsorted) % 0.45/0.63 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.c $$unsorted) % 0.45/0.63 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.p (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (define @t1 () (@var "X2" $$unsorted)) % 0.45/0.63 (define @t2 () (@var "X3" $$unsorted)) % 0.45/0.63 (define @t3 () (@var "X1" $$unsorted)) % 0.45/0.63 (define @t4 () (@var "X" $$unsorted)) % 0.45/0.63 (define @t5 () (not (tptp.p @t4 @t3 @t1))) % 0.45/0.63 (define @t6 () (@list @t4 @t3 @t1)) % 0.45/0.63 (define @t7 () (forall @t6 (or (tptp.p (tptp.g @t4) @t3 @t1) @t5))) % 0.45/0.63 (define @t8 () (tptp.f tptp.b)) % 0.45/0.63 (define @t9 () (tptp.p tptp.a @t8 tptp.c)) % 0.45/0.63 (define @t10 () (tptp.p @t8 tptp.d tptp.c)) % 0.45/0.63 (define @t11 () (tptp.g tptp.c)) % 0.45/0.63 (define @t12 () (tptp.g tptp.d)) % 0.45/0.63 (define @t13 () (tptp.f @t12)) % 0.45/0.63 (define @t14 () (tptp.g tptp.a)) % 0.45/0.63 (define @t15 () (tptp.f @t14)) % 0.45/0.63 (define @t16 () (tptp.p @t15 @t13 (tptp.f @t11))) % 0.45/0.63 (define @t17 () (@list tptp.d tptp.c tptp.a)) % 0.45/0.63 (define @t18 () (not @t10)) % 0.45/0.63 (define @t19 () (not @t9)) % 0.45/0.63 (define @t20 () (tptp.p tptp.a tptp.d tptp.c)) % 0.45/0.63 (define @t21 () (or @t20 @t19 @t18)) % 0.45/0.63 (define @t22 () (not @t20)) % 0.45/0.63 (define @t23 () (tptp.p tptp.c tptp.d tptp.a)) % 0.45/0.63 (define @t24 () (or @t23 @t22)) % 0.45/0.63 (define @t25 () (@list false false)) % 0.45/0.63 (define @t26 () (not @t23)) % 0.45/0.63 (define @t27 () (tptp.p tptp.d tptp.c tptp.a)) % 0.45/0.63 (define @t28 () (or @t27 @t26)) % 0.45/0.63 (define @t29 () (@list tptp.a tptp.c @t12)) % 0.45/0.63 (define @t30 () (@list tptp.c @t13 @t14)) % 0.45/0.63 (define @t31 () (@list @t15 @t13 @t11)) % 0.45/0.63 (define @t32 () (tptp.p @t15 @t13 @t11)) % 0.45/0.63 (define @t33 () (not @t32)) % 0.45/0.63 (define @t34 () (or @t16 @t33)) % 0.45/0.63 (define @t35 () (@list true false)) % 0.45/0.63 (define @t36 () (tptp.p @t11 @t13 @t15)) % 0.45/0.63 (define @t37 () (not @t36)) % 0.45/0.63 (define @t38 () (or @t32 @t37)) % 0.45/0.63 (define @t39 () (tptp.p tptp.c @t13 @t15)) % 0.45/0.63 (define @t40 () (not @t39)) % 0.45/0.63 (define @t41 () (or @t36 @t40)) % 0.45/0.63 (define @t42 () (tptp.p tptp.c @t13 @t14)) % 0.45/0.63 (define @t43 () (not @t42)) % 0.45/0.63 (define @t44 () (or @t39 @t43)) % 0.45/0.63 (define @t45 () (tptp.p @t13 tptp.c @t14)) % 0.45/0.63 (define @t46 () (not @t45)) % 0.45/0.63 (define @t47 () (or @t42 @t46)) % 0.45/0.63 (define @t48 () (tptp.p @t14 tptp.c @t13)) % 0.45/0.63 (define @t49 () (not @t48)) % 0.45/0.63 (define @t50 () (or @t45 @t49)) % 0.45/0.63 (define @t51 () (tptp.p tptp.a tptp.c @t13)) % 0.45/0.63 (define @t52 () (not @t51)) % 0.45/0.63 (define @t53 () (or @t48 @t52)) % 0.45/0.63 (define @t54 () (tptp.p tptp.a tptp.c @t12)) % 0.45/0.63 (define @t55 () (not @t54)) % 0.45/0.63 (define @t56 () (or @t51 @t55)) % 0.45/0.63 (define @t57 () (tptp.p @t12 tptp.c tptp.a)) % 0.45/0.63 (define @t58 () (not @t57)) % 0.45/0.63 (define @t59 () (or @t54 @t58)) % 0.45/0.63 (define @t60 () (not @t27)) % 0.45/0.63 (define @t61 () (or @t57 @t60)) % 0.45/0.63 (define @t62 () (not @t61)) % 0.45/0.63 (assume @p1 (forall (@list @t4 @t2 @t1 @t3) (or (tptp.p @t4 @t2 @t1) @t5 (not (tptp.p @t3 @t2 @t1))))) % 0.45/0.63 (assume @p2 (forall (@list @t1 @t3 @t4) (or (tptp.p @t1 @t3 @t4) @t5))) % 0.45/0.63 (assume @p3 (forall (@list @t3 @t4 @t1) (or (tptp.p @t3 @t4 @t1) @t5))) % 0.45/0.63 (assume @p4 (forall @t6 (or (tptp.p @t4 @t3 (tptp.f @t1)) @t5))) % 0.45/0.63 (assume @p5 @t7) % 0.45/0.63 (assume @p6 @t9) % 0.45/0.63 (assume @p7 @t10) % 0.45/0.63 (assume @p8 (not @t16)) % 0.45/0.63 (step @p9 :rule instantiate :premises (@p3) :args (@t17)) % 0.45/0.63 (step @p10 :rule instantiate :premises (@p2) :args ((@list tptp.c tptp.d tptp.a))) % 0.45/0.63 (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.d tptp.c @t8))) % 0.45/0.63 (step @p12 :rule cnf_or_pos :args (@t21)) % 0.45/0.63 (step @p13 :rule reordering :premises (@p12) :args ((or @t19 @t18 @t20 (not @t21)))) % 0.45/0.63 (step @p14 :rule chain_m_resolution :premises (@p13 @p6 @p7 @p11) :args (@t20 (@list false false false) (@list @t9 @t10 @t21))) % 0.45/0.63 (step @p15 :rule cnf_or_pos :args (@t24)) % 0.45/0.63 (step @p16 :rule reordering :premises (@p15) :args ((or @t22 @t23 (not @t24)))) % 0.45/0.63 (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p10) :args (@t23 @t25 (@list @t20 @t24))) % 0.45/0.63 (step @p18 :rule cnf_or_pos :args (@t28)) % 0.45/0.63 (step @p19 :rule reordering :premises (@p18) :args ((or @t26 @t27 (not @t28)))) % 0.45/0.63 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p9) :args (@t27 @t25 (@list @t23 @t28))) % 0.45/0.63 (step @p21 :rule instantiate :premises (@p2) :args (@t29)) % 0.45/0.63 (step @p22 :rule instantiate :premises (@p4) :args (@t29)) % 0.45/0.63 (step @p23 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.c @t13))) % 0.45/0.63 (step @p24 :rule instantiate :premises (@p2) :args ((@list @t13 tptp.c @t14))) % 0.45/0.63 (step @p25 :rule instantiate :premises (@p3) :args (@t30)) % 0.45/0.63 (step @p26 :rule instantiate :premises (@p4) :args (@t30)) % 0.45/0.63 (step @p27 :rule instantiate :premises (@p5) :args ((@list tptp.c @t13 @t15))) % 0.45/0.63 (step @p28 :rule instantiate :premises (@p2) :args (@t31)) % 0.45/0.63 (step @p29 :rule instantiate :premises (@p4) :args (@t31)) % 0.45/0.63 (step @p30 :rule cnf_or_pos :args (@t34)) % 0.45/0.63 (step @p31 :rule reordering :premises (@p30) :args ((or @t16 @t33 (not @t34)))) % 0.45/0.63 (step @p32 :rule chain_m_resolution :premises (@p31 @p8 @p29) :args (@t33 @t35 (@list @t16 @t34))) % 0.45/0.63 (step @p33 :rule cnf_or_pos :args (@t38)) % 0.45/0.63 (step @p34 :rule reordering :premises (@p33) :args ((or @t32 @t37 (not @t38)))) % 0.45/0.63 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p28) :args (@t37 @t35 (@list @t32 @t38))) % 0.45/0.63 (step @p36 :rule cnf_or_pos :args (@t41)) % 0.45/0.63 (step @p37 :rule reordering :premises (@p36) :args ((or @t36 @t40 (not @t41)))) % 0.45/0.63 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p27) :args (@t40 @t35 (@list @t36 @t41))) % 0.45/0.63 (step @p39 :rule cnf_or_pos :args (@t44)) % 0.45/0.63 (step @p40 :rule reordering :premises (@p39) :args ((or @t39 @t43 (not @t44)))) % 0.45/0.63 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p26) :args (@t43 @t35 (@list @t39 @t44))) % 0.45/0.63 (step @p42 :rule cnf_or_pos :args (@t47)) % 0.45/0.63 (step @p43 :rule reordering :premises (@p42) :args ((or @t42 @t46 (not @t47)))) % 0.45/0.63 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p25) :args (@t46 @t35 (@list @t42 @t47))) % 0.45/0.63 (step @p45 :rule cnf_or_pos :args (@t50)) % 0.45/0.63 (step @p46 :rule reordering :premises (@p45) :args ((or @t45 @t49 (not @t50)))) % 0.45/0.63 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p24) :args (@t49 @t35 (@list @t45 @t50))) % 0.45/0.63 (step @p48 :rule cnf_or_pos :args (@t53)) % 0.45/0.63 (step @p49 :rule reordering :premises (@p48) :args ((or @t48 @t52 (not @t53)))) % 0.45/0.63 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p23) :args (@t52 @t35 (@list @t48 @t53))) % 0.45/0.63 (step @p51 :rule cnf_or_pos :args (@t56)) % 0.45/0.63 (step @p52 :rule reordering :premises (@p51) :args ((or @t51 @t55 (not @t56)))) % 0.45/0.63 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p22) :args (@t55 @t35 (@list @t51 @t56))) % 0.45/0.63 (step @p54 :rule cnf_or_pos :args (@t59)) % 0.45/0.63 (step @p55 :rule reordering :premises (@p54) :args ((or @t54 @t58 (not @t59)))) % 0.45/0.63 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p21) :args (@t58 @t35 (@list @t54 @t59))) % 0.45/0.63 (step @p57 :rule cnf_or_pos :args (@t61)) % 0.45/0.63 (step @p58 :rule reordering :premises (@p57) :args ((or @t57 @t60 @t62))) % 0.45/0.63 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p20) :args (@t62 @t35 (@list @t57 @t27))) % 0.45/0.63 (assume-push @p66 @t7) % 0.45/0.63 (step @p61 :rule instantiate :premises (@p5) :args (@t17)) % 0.45/0.63 (step-pop @p67 :rule scope :premises (@p61)) % 0.45/0.63 (step @p62 :rule process_scope :premises (@p67) :args (@t61)) % 0.45/0.63 (step @p64 :rule implies_elim :premises (@p62)) % 0.45/0.63 (step @p65 false :rule chain_m_resolution :premises (@p64 @p59 @p5) :args (false @t35 (@list @t61 @t7))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------