0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command  : run_SATResetCoP /export/starexec/sandbox/benchmark/theBenchmark.p 180
0.09/0.35	% Computer : n008.cluster.edu
0.09/0.35	% Model    : x86_64 x86_64
0.09/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.35	% Memory   : 8046.5625MB
0.09/0.35	% OS       : Linux 6.8.0-71-generic
0.09/0.35	% CPULimit : 1440
0.09/0.35	% WCLimit  : 180
0.09/0.35	% DateTime : Mon Jul 27 09:22:43 UTC 2026
0.09/0.35	% CPUTime  : 
0.09/0.35	Running run_SATResetCoP /export/starexec/sandbox/benchmark/theBenchmark.p 180
72.87/73.16	% SZS status Theorem for theBenchmark
72.87/73.16	% SZS output start CNFRefutation for theBenchmark
72.87/73.16	fof(satresetcop_input_1,axiom,
72.87/73.16	    ! [Y] :
72.87/73.16	    ? [Z] :
72.87/73.16	    ! [X] :
72.87/73.16	      ( big_f(X,Z)
72.87/73.16	    <=> Y = X ),
72.87/73.16	    file('theBenchmark.p',pel54_1)).
72.87/73.16	fof(satresetcop_input_2,conjecture,
72.87/73.16	    ~ ? [W] :
72.87/73.16	      ! [X] :
72.87/73.16	        ( ! [U] :
72.87/73.16	            ( ? [Y] :
72.87/73.16	                ( ~ ? [Z] :
72.87/73.16	                      ( big_f(Z,Y)
72.87/73.16	                      & big_f(Z,U) )
72.87/73.16	                & big_f(Y,U) )
72.87/73.16	           <= big_f(X,U) )
72.87/73.16	      <=> big_f(X,W) ),
72.87/73.16	    file('theBenchmark.p',pel54)).
72.87/73.16	fof(satresetcop_negated_conjecture_2,negated_conjecture,
72.87/73.16	    ~ (~ ? [W] :
72.87/73.16	      ! [X] :
72.87/73.16	        ( ! [U] :
72.87/73.16	            ( ? [Y] :
72.87/73.16	                ( ~ ? [Z] :
72.87/73.16	                      ( big_f(Z,Y)
72.87/73.16	                      & big_f(Z,U) )
72.87/73.16	                & big_f(Y,U) )
72.87/73.16	           <= big_f(X,U) )
72.87/73.16	      <=> big_f(X,W) )),
72.87/73.16	    inference(negate,[status(cth)],[satresetcop_input_2])).
72.87/73.16	fof(satresetcop_premises,plain,
72.87/73.16	    ( (! [Y] :
72.87/73.16	    ? [Z] :
72.87/73.16	    ! [X] :
72.87/73.16	      ( big_f(X,Z)
72.87/73.16	    <=> Y = X ))
72.87/73.16	    & (~ (~ ? [W] :
72.87/73.16	      ! [X] :
72.87/73.16	        ( ! [U] :
72.87/73.16	            ( ? [Y] :
72.87/73.16	                ( ~ ? [Z] :
72.87/73.16	                      ( big_f(Z,Y)
72.87/73.16	                      & big_f(Z,U) )
72.87/73.16	                & big_f(Y,U) )
72.87/73.16	           <= big_f(X,U) )
72.87/73.16	      <=> big_f(X,W) ))) ),
72.87/73.16	    inference(conjoin,[status(thm)],[satresetcop_input_1,satresetcop_negated_conjecture_2])).
72.87/73.16	fof(satresetcop_cnf_matrix,plain,
72.87/73.16	    ! [X1,X2,X3,X4] :
72.87/73.16	    ( (( p_defini_8(X1,X2) | ~ big_f(X3,f_skolem_7(X1,X2)) | ~ big_f(X3,X1) ))
72.87/73.16	    & (( p_defini_8(X1,X2) | big_f(f_skolem_7(X1,X2),X1) ))
72.87/73.16	    & (( p_defini_5(X1,X2) | big_f(f_skolem_4(X1,X2),f_skolem_3(X2)) ))
72.87/73.16	    & (( p_defini_5(X1,X2) | big_f(f_skolem_4(X1,X2),X1) ))
72.87/73.16	    & (( p_defini_6(X1) | ~ p_defini_5(X2,X1) | ~ big_f(X2,f_skolem_3(X1)) ))
72.87/73.16	    & (( p_defini_6(X1) | big_f(X1,f_skolem_3(X1)) ))
72.87/73.16	    & (( big_f(X1,f_skolem_2) | ~ p_defini_6(X1) ))
72.87/73.16	    & (( ~ big_f(X1,f_skolem_2) | ~ big_f(X1,X2) | ~ p_defini_8(X2,X1) ))
72.87/73.16	    & (( ~ big_f(X1,f_skolem_1(X2)) | equal___(X2,X1) ))
72.87/73.16	    & (( big_f(X1,f_skolem_1(X2)) | ~ equal___(X2,X1) ))
72.87/73.16	    & (( big_f(X1,X2) | ~ big_f(X3,X4) | ~ equal___(X3,X1) | ~ equal___(X4,X2) ))
72.87/73.16	    & (( equal___(X1,X1) ))
72.87/73.16	    & (( ~ equal___(X1,X2) | equal___(X2,X1) ))
72.87/73.16	    & (( equal___(X1,X2) | ~ equal___(X1,X3) | ~ equal___(X3,X2) )) ),
72.87/73.16	    inference(clausify,[status(esa),new_symbols(skolem,[f_skolem_1,f_skolem_2,f_skolem_3,f_skolem_4,f_skolem_7]),new_symbols(definition,[p_defini_5,p_defini_6,p_defini_8]),new_symbols(predicate,[equal___])],[satresetcop_premises])).
72.87/73.16	cnf(satresetcop_matrix_1,plain,
72.87/73.16	    ( p_defini_8(X1,X2) | ~ big_f(X3,f_skolem_7(X1,X2)) | ~ big_f(X3,X1) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_2,plain,
72.87/73.16	    ( p_defini_8(X1,X2) | big_f(f_skolem_7(X1,X2),X1) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_3,plain,
72.87/73.16	    ( p_defini_5(X1,X2) | big_f(f_skolem_4(X1,X2),f_skolem_3(X2)) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_4,plain,
72.87/73.16	    ( p_defini_5(X1,X2) | big_f(f_skolem_4(X1,X2),X1) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_5,plain,
72.87/73.16	    ( p_defini_6(X1) | ~ p_defini_5(X2,X1) | ~ big_f(X2,f_skolem_3(X1)) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_6,plain,
72.87/73.16	    ( p_defini_6(X1) | big_f(X1,f_skolem_3(X1)) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_7,plain,
72.87/73.16	    ( big_f(X1,f_skolem_2) | ~ p_defini_6(X1) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_8,plain,
72.87/73.16	    ( ~ big_f(X1,f_skolem_2) | ~ big_f(X1,X2) | ~ p_defini_8(X2,X1) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_9,plain,
72.87/73.16	    ( ~ big_f(X1,f_skolem_1(X2)) | equal___(X2,X1) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_10,plain,
72.87/73.16	    ( big_f(X1,f_skolem_1(X2)) | ~ equal___(X2,X1) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_11,plain,
72.87/73.16	    ( big_f(X1,X2) | ~ big_f(X3,X4) | ~ equal___(X3,X1) | ~ equal___(X4,X2) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_12,plain,
72.87/73.16	    ( equal___(X1,X1) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_13,plain,
72.87/73.16	    ( ~ equal___(X1,X2) | equal___(X2,X1) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_matrix_14,plain,
72.87/73.16	    ( equal___(X1,X2) | ~ equal___(X1,X3) | ~ equal___(X3,X2) ),
72.87/73.16	    inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])).
72.87/73.16	cnf(satresetcop_ground_1,plain,
72.87/73.16	    ( p_defini_8(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)) | ~ big_f(f_skolem_4(f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)), f_skolem_2), f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2))) | ~ big_f(f_skolem_4(f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)), f_skolem_2), f_skolem_3(f_skolem_2)) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_1])).
72.87/73.16	cnf(satresetcop_ground_2,plain,
72.87/73.16	    ( p_defini_6(f_skolem_2) | ~ big_f(f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)), f_skolem_3(f_skolem_2)) | ~ p_defini_5(f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)), f_skolem_2) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_5])).
72.87/73.16	cnf(satresetcop_ground_3,plain,
72.87/73.16	    ( ~ big_f(f_skolem_4(f_skolem_2, f_skolem_2), f_skolem_2) | ~ big_f(f_skolem_4(f_skolem_2, f_skolem_2), f_skolem_3(f_skolem_2)) | ~ p_defini_8(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_8])).
72.87/73.16	cnf(satresetcop_ground_4,plain,
72.87/73.16	    ( ~ p_defini_5(f_skolem_2, f_skolem_2) | ~ big_f(f_skolem_2, f_skolem_3(f_skolem_2)) | p_defini_6(f_skolem_2) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_5])).
72.87/73.16	cnf(satresetcop_ground_5,plain,
72.87/73.16	    ( ~ big_f(f_skolem_2, f_skolem_2) | ~ big_f(f_skolem_2, f_skolem_1(f_skolem_2)) | ~ p_defini_8(f_skolem_1(f_skolem_2), f_skolem_2) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_8])).
72.87/73.16	cnf(satresetcop_ground_6,plain,
72.87/73.16	    ( ~ big_f(f_skolem_2, f_skolem_2) | ~ equal___(f_skolem_2, f_skolem_7(f_skolem_1(f_skolem_2), f_skolem_2)) | big_f(f_skolem_7(f_skolem_1(f_skolem_2), f_skolem_2), f_skolem_7(f_skolem_1(f_skolem_2), f_skolem_2)) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_11])).
72.87/73.16	cnf(satresetcop_ground_7,plain,
72.87/73.16	    ( ~ big_f(f_skolem_7(f_skolem_1(f_skolem_2), f_skolem_2), f_skolem_1(f_skolem_2)) | p_defini_8(f_skolem_1(f_skolem_2), f_skolem_2) | ~ big_f(f_skolem_7(f_skolem_1(f_skolem_2), f_skolem_2), f_skolem_7(f_skolem_1(f_skolem_2), f_skolem_2)) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_1])).
72.87/73.16	cnf(satresetcop_ground_8,plain,
72.87/73.16	    ( p_defini_5(f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)), f_skolem_2) | big_f(f_skolem_4(f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)), f_skolem_2), f_skolem_3(f_skolem_2)) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_3])).
72.87/73.16	cnf(satresetcop_ground_9,plain,
72.87/73.16	    ( p_defini_5(f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)), f_skolem_2) | big_f(f_skolem_4(f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)), f_skolem_2), f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2))) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_4])).
72.87/73.16	cnf(satresetcop_ground_10,plain,
72.87/73.16	    ( p_defini_8(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)) | big_f(f_skolem_7(f_skolem_3(f_skolem_2), f_skolem_4(f_skolem_2, f_skolem_2)), f_skolem_3(f_skolem_2)) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_2])).
72.87/73.16	cnf(satresetcop_ground_11,plain,
72.87/73.16	    ( big_f(f_skolem_7(f_skolem_1(f_skolem_2), f_skolem_2), f_skolem_1(f_skolem_2)) | p_defini_8(f_skolem_1(f_skolem_2), f_skolem_2) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_2])).
72.87/73.16	cnf(satresetcop_ground_12,plain,
72.87/73.16	    ( equal___(f_skolem_2, f_skolem_7(f_skolem_1(f_skolem_2), f_skolem_2)) | ~ big_f(f_skolem_7(f_skolem_1(f_skolem_2), f_skolem_2), f_skolem_1(f_skolem_2)) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_9])).
72.87/73.16	cnf(satresetcop_ground_13,plain,
72.87/73.16	    ( big_f(f_skolem_2, f_skolem_3(f_skolem_2)) | p_defini_6(f_skolem_2) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_6])).
72.87/73.16	cnf(satresetcop_ground_14,plain,
72.87/73.16	    ( p_defini_5(f_skolem_2, f_skolem_2) | big_f(f_skolem_4(f_skolem_2, f_skolem_2), f_skolem_3(f_skolem_2)) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_3])).
72.87/73.16	cnf(satresetcop_ground_15,plain,
72.87/73.16	    ( big_f(f_skolem_4(f_skolem_2, f_skolem_2), f_skolem_2) | p_defini_5(f_skolem_2, f_skolem_2) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_4])).
72.87/73.16	cnf(satresetcop_ground_16,plain,
72.87/73.16	    ( ~ p_defini_6(f_skolem_2) | big_f(f_skolem_2, f_skolem_2) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_7])).
72.87/73.16	cnf(satresetcop_ground_17,plain,
72.87/73.16	    ( ~ equal___(f_skolem_2, f_skolem_2) | big_f(f_skolem_2, f_skolem_1(f_skolem_2)) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_10])).
72.87/73.16	cnf(satresetcop_ground_18,plain,
72.87/73.16	    ( equal___(f_skolem_2, f_skolem_2) ),
72.87/73.16	    inference(instantiate,[status(thm)],[satresetcop_matrix_12])).
72.87/73.16	cnf(satresetcop_false,plain,
72.87/73.16	    $false,
72.87/73.16	    inference(sat_refutation,[status(thm)],[satresetcop_ground_1,satresetcop_ground_2,satresetcop_ground_3,satresetcop_ground_4,satresetcop_ground_5,satresetcop_ground_6,satresetcop_ground_7,satresetcop_ground_8,satresetcop_ground_9,satresetcop_ground_10,satresetcop_ground_11,satresetcop_ground_12,satresetcop_ground_13,satresetcop_ground_14,satresetcop_ground_15,satresetcop_ground_16,satresetcop_ground_17,satresetcop_ground_18]),
72.87/73.16	    [proof]).
72.87/73.16	% SZS output end CNFRefutation for theBenchmark
72.94/73.20	EOF