%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT073-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:07:17 PM UTC 2026
% Result : Unsatisfiable 0.16s 10.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT073-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.38 % Computer : n009.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Mon Sep 21 04:30:08 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.16/10.43 % Drodi V4.1.1
% 0.16/10.56 % Refutation found
% 0.16/10.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/10.56 % SZS output start CNFRefutation for theBenchmark
% 0.16/10.56 fof(f460,axiom,(
% 0.16/10.56 (![V_a,V_b]: (( c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| V_a = V_b ) ))),
% 0.16/10.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.56 fof(f463,axiom,(
% 0.16/10.56 (![V_L,V_x,V_y]: (( c_in(c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_y),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| V_x = V_y ) ))),
% 0.16/10.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.56 fof(f467,axiom,(
% 0.16/10.56 (![V_L,V_x,V_y]: (( c_in(c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_y),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| V_x = V_y ) ))),
% 0.16/10.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.56 fof(f499,axiom,(
% 0.16/10.56 (![V_xa,V_x,V_L]: (( V_xa = V_x| V_x = V_xa| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| V_x = V_xa| c_in(c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ))),
% 0.16/10.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.56 fof(f525,axiom,(
% 0.16/10.56 (![V_Lab]: (( v_thesis____| ~ c_in(V_Lab,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_Lab,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ))),
% 0.16/10.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.56 fof(f527,axiom,(
% 0.16/10.56 v_a____ != v_b____ ),
% 0.16/10.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.56 fof(f528,negated_conjecture,(
% 0.16/10.56 ~ v_thesis____ ),
% 0.16/10.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/10.56 fof(f1229,plain,(
% 0.16/10.56 ![X0,X1]: (c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|X0=X1)),
% 0.16/10.56 inference(cnf_transformation,[status(thm)],[f460])).
% 0.16/10.56 fof(f1234,plain,(
% 0.16/10.56 ![V_x,V_y]: ((![V_L]: (c_in(c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_y),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))|V_x=V_y)),
% 0.16/10.56 inference(miniscoping,[status(thm)],[f463])).
% 0.16/10.56 fof(f1235,plain,(
% 0.16/10.56 ![X0,X1,X2]: (c_in(c_Arrow__Order__Mirabelle_Obelow(X0,X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|X1=X2)),
% 0.16/10.56 inference(cnf_transformation,[status(thm)],[f1234])).
% 0.16/10.56 fof(f1239,plain,(
% 0.16/10.56 ![V_x,V_y]: ((![V_L]: (c_in(c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_y),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))|V_x=V_y)),
% 0.16/10.56 inference(miniscoping,[status(thm)],[f467])).
% 0.16/10.56 fof(f1240,plain,(
% 0.16/10.56 ![X0,X1,X2]: (c_in(c_Arrow__Order__Mirabelle_Oabove(X0,X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|X1=X2)),
% 0.16/10.56 inference(cnf_transformation,[status(thm)],[f1239])).
% 0.16/10.56 fof(f1300,plain,(
% 0.16/10.56 ![X0,X1,X2]: (X0=X1|X1=X0|~c_in(X2,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|X1=X0|c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X2,X1,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.16/10.56 inference(cnf_transformation,[status(thm)],[f499])).
% 0.16/10.56 fof(f1344,plain,(
% 0.16/10.56 ![X0]: (v_thesis____|~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.16/10.56 inference(cnf_transformation,[status(thm)],[f525])).
% 0.16/10.56 fof(f1347,plain,(
% 0.16/10.56 ~v_a____=v_b____),
% 0.16/10.56 inference(cnf_transformation,[status(thm)],[f527])).
% 0.16/10.56 fof(f1348,plain,(
% 0.16/10.56 ~v_thesis____),
% 0.16/10.56 inference(cnf_transformation,[status(thm)],[f528])).
% 0.16/10.56 fof(f1387,plain,(
% 0.16/10.56 ![X0,X1,X2]: (X0=X1|~c_in(X2,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X2,X1,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.16/10.56 inference(duplicate_literals_removal,[status(thm)],[f1300])).
% 0.16/10.56 fof(f1394,plain,(
% 0.16/10.56 ![X0]: (~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.16/10.56 inference(forward_subsumption_resolution,[status(thm)],[f1344,f1348])).
% 0.16/10.56 fof(f1484,plain,(
% 0.16/10.56 ![X0,X1,X2,X3]: (c_in(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X0,X1),X2,X3),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|X2=X3|X0=X1)),
% 0.16/10.56 inference(resolution,[status(thm)],[f1240,f1229])).
% 0.16/10.56 fof(f1488,plain,(
% 0.16/10.56 ![X0,X1,X2,X3,X4,X5]: (X0=X1|X2=X3|c_in(c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X2,X3),X0,X1),X4,X5),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|X4=X5)),
% 0.16/10.56 inference(resolution,[status(thm)],[f1484,f1235])).
% 0.16/10.56 fof(f1634,plain,(
% 0.16/10.56 ![X0,X1,X2,X3,X4,X5]: (X0=X1|c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X2,X3),X4,X5),X1,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X4=X5|X2=X3)),
% 0.16/10.56 inference(resolution,[status(thm)],[f1387,f1484])).
% 0.16/10.56 fof(f1649,plain,(
% 0.16/10.56 ![X0,X1,X2,X3]: (v_b____=v_a____|X0=X1|X2=X3|~c_in(c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X2,X3),X0,X1),v_a____,v_b____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 0.16/10.56 inference(resolution,[status(thm)],[f1634,f1394])).
% 0.16/10.56 fof(f1650,plain,(
% 0.16/10.56 ![X0,X1,X2,X3]: (X0=X1|X2=X3|~c_in(c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X2,X3),X0,X1),v_a____,v_b____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 0.16/10.56 inference(forward_subsumption_resolution,[status(thm)],[f1649,f1347])).
% 0.16/10.56 fof(f1651,plain,(
% 0.16/10.56 ![X0,X1,X2,X3]: (X0=X1|X2=X3|X0=X1|X2=X3|v_a____=v_b____)),
% 0.16/10.56 inference(resolution,[status(thm)],[f1650,f1488])).
% 0.16/10.56 fof(f1656,plain,(
% 0.16/10.56 ![X0,X1,X2,X3]: (X0=X1|X2=X3|v_a____=v_b____)),
% 0.16/10.56 inference(duplicate_literals_removal,[status(thm)],[f1651])).
% 0.16/10.56 fof(f1657,plain,(
% 0.16/10.56 ![X0,X1,X2,X3]: (X0=X1|X2=X3)),
% 0.16/10.56 inference(forward_subsumption_resolution,[status(thm)],[f1656,f1347])).
% 0.16/10.56 fof(f1659,plain,(
% 0.16/10.56 $false),
% 0.16/10.56 inference(resolution,[status(thm)],[f1657,f1347])).
% 0.16/10.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/10.58 % Elapsed time: 0.188362 seconds
% 0.16/10.58 % CPU time: 1.039256 seconds
% 0.16/10.58 % Total memory used: 151.667 MB
% 0.16/10.58 % Net memory used: 150.502 MB
%------------------------------------------------------------------------------