%------------------------------------------------------------------------------ % File : cvc5-SAT---1.3.4 % Problem : PUZ097^5 : TPTP v9.2.1. Bugfixed v6.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT % Computer : n023.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 08:44:33 AM UTC 2026 % Result : CounterSatisfiable 0.30s 0.53s % Output : Model 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ097^5 : TPTP v9.2.1. Bugfixed v6.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:18:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Disproving TH0 % 0.30/0.53 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... % 0.30/0.53 % SZS status CounterSatisfiable % 0.30/0.53 % SZS output start Model % 0.30/0.53 ( % 0.30/0.53 ; cardinality of $$unsorted is 6 % 0.30/0.53 ; rep: (as @$$unsorted_0 $$unsorted) % 0.30/0.53 ; rep: (as @$$unsorted_1 $$unsorted) % 0.30/0.53 ; rep: (as @$$unsorted_2 $$unsorted) % 0.30/0.53 ; rep: (as @$$unsorted_3 $$unsorted) % 0.30/0.53 ; rep: (as @$$unsorted_4 $$unsorted) % 0.30/0.53 ; rep: (as @$$unsorted_5 $$unsorted) % 0.30/0.53 (define-fun tptp.c1 () $$unsorted (as @$$unsorted_2 $$unsorted)) % 0.30/0.53 (define-fun tptp.c2 () $$unsorted (as @$$unsorted_0 $$unsorted)) % 0.30/0.53 (define-fun tptp.c3 () $$unsorted (as @$$unsorted_0 $$unsorted)) % 0.30/0.53 (define-fun tptp.c4 () $$unsorted (as @$$unsorted_0 $$unsorted)) % 0.30/0.53 (define-fun tptp.g ((BOUND_VARIABLE_1543 $$unsorted) (BOUND_VARIABLE_1545 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_1 $$unsorted) BOUND_VARIABLE_1543) (ite (= (as @$$unsorted_3 $$unsorted) BOUND_VARIABLE_1545) (as @$$unsorted_5 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) BOUND_VARIABLE_1545) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_0 $$unsorted))) (as @$$unsorted_0 $$unsorted))) % 0.30/0.53 (define-fun tptp.s ((BOUND_VARIABLE_1601 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_3 $$unsorted) BOUND_VARIABLE_1601) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) BOUND_VARIABLE_1601) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) % 0.30/0.53 (define-fun tptp.cCKB_BLACK ((Xu $$unsorted) (Xv $$unsorted)) Bool (or (and (or (= Xu (as @$$unsorted_2 $$unsorted)) (= Xu (as @$$unsorted_1 $$unsorted)) (= Xu (as @$$unsorted_1 $$unsorted)) (= Xu (as @$$unsorted_1 $$unsorted))) (or (= Xv (as @$$unsorted_2 $$unsorted)) (= Xv (as @$$unsorted_1 $$unsorted)) (= Xv (as @$$unsorted_1 $$unsorted)) (= Xv (as @$$unsorted_1 $$unsorted)))) (and (= Xu (as @$$unsorted_0 $$unsorted)) (= Xv (as @$$unsorted_0 $$unsorted))))) % 0.30/0.53 (define-fun tptp.cCKB_EVEN ((BOUND_VARIABLE_1656 $$unsorted)) Bool (= (as @$$unsorted_0 $$unsorted) BOUND_VARIABLE_1656)) % 0.30/0.53 (define-fun tptp.cCKB_H ((Xx $$unsorted) (Xy $$unsorted) (Xu $$unsorted) (Xv $$unsorted)) Bool (and (or (and (or (= Xx (as @$$unsorted_2 $$unsorted)) (= Xx (as @$$unsorted_1 $$unsorted)) (= Xx (as @$$unsorted_1 $$unsorted)) (= Xx (as @$$unsorted_1 $$unsorted))) (or (= Xy (as @$$unsorted_2 $$unsorted)) (= Xy (as @$$unsorted_1 $$unsorted)) (= Xy (as @$$unsorted_1 $$unsorted)) (= Xy (as @$$unsorted_1 $$unsorted)))) (and (= Xx (as @$$unsorted_0 $$unsorted)) (= Xy (as @$$unsorted_0 $$unsorted)))) (or (and (= (as @$$unsorted_2 $$unsorted) (ite (= (as @$$unsorted_1 $$unsorted) (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_5 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_0 $$unsorted))) (as @$$unsorted_0 $$unsorted))) (= Xu (ite (= (as @$$unsorted_3 $$unsorted) (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (= Xv (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted))))) (and (= (as @$$unsorted_0 $$unsorted) (ite (= (as @$$unsorted_1 $$unsorted) (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_5 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_0 $$unsorted))) (as @$$unsorted_0 $$unsorted))) (= Xu (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (= Xv (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted))))) (and (= (as @$$unsorted_0 $$unsorted) (ite (= (as @$$unsorted_1 $$unsorted) (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_5 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_0 $$unsorted))) (as @$$unsorted_0 $$unsorted))) (= Xu (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (= Xv (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted))))) (and (= (as @$$unsorted_0 $$unsorted) (ite (= (as @$$unsorted_1 $$unsorted) (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_5 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xy (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xy (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_0 $$unsorted))) (as @$$unsorted_0 $$unsorted))) (= Xu (ite (= (as @$$unsorted_3 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_4 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) (ite (= Xx (as @$$unsorted_3 $$unsorted)) (as @$$unsorted_4 $$unsorted) (ite (= Xx (as @$$unsorted_0 $$unsorted)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))) (= Xv Xy))))) % 0.30/0.53 (define-fun tptp.cCKB_INJ ((Xh (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool))) Bool (forall ((Xx1 $$unsorted) (Xy1 $$unsorted) (Xx2 $$unsorted) (Xy2 $$unsorted) (Xu $$unsorted) (Xv $$unsorted)) (or (not (Xh Xx1 Xy1 Xu Xv)) (not (Xh Xx2 Xy2 Xu Xv)) (and (= Xx1 Xx2) (= Xy1 Xy2))))) % 0.30/0.53 (define-fun tptp.cCKB_ODD ((BOUND_VARIABLE_1748 $$unsorted)) Bool (or (= (as @$$unsorted_2 $$unsorted) BOUND_VARIABLE_1748) (= (as @$$unsorted_1 $$unsorted) BOUND_VARIABLE_1748))) % 0.30/0.53 ) % 0.30/0.53 % SZS output end Model % 0.30/0.53 % cvc5 exiting %------------------------------------------------------------------------------