%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV275-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 02:47:07 PM UTC 2026
% Result : Unsatisfiable 10.60s 1.89s
% Output : CNFRefutation 10.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 10 unt; 2 def)
% Number of atoms : 81 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 41 ~; 37 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,axiom,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f109,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f110,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1334,axiom,
! [V_a,V_B,T_a,V_b] :
( c_in(V_a,c_insert(V_b,V_B,T_a),T_a)
| ~ c_in(V_a,V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1335,axiom,
! [V_x,V_B,T_a] : c_in(V_x,c_insert(V_x,V_B,T_a),T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1336,axiom,
! [V_a,V_b,V_A,T_a] :
( V_a = V_b
| c_in(V_a,V_A,T_a)
| ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1395,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1399,axiom,
! [V_G,V_H] :
( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1400,negated_conjecture,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1539,plain,
! [V_c,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ! [V_A] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f1540,plain,
! [X0,X1,X2,X3] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1539]) ).
fof(f1541,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f1542,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f2842,plain,
! [V_a,V_B,T_a] :
( ! [V_b] : c_in(V_a,c_insert(V_b,V_B,T_a),T_a)
| ~ c_in(V_a,V_B,T_a) ),
inference(miniscoping,[status(thm)],[f1334]) ).
fof(f2843,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_insert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2842]) ).
fof(f2844,plain,
! [X0,X1,X2] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[status(thm)],[f1335]) ).
fof(f2845,plain,
! [V_a,V_b] :
( V_a = V_b
| ! [V_A,T_a] :
( c_in(V_a,V_A,T_a)
| ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ) ),
inference(miniscoping,[status(thm)],[f1336]) ).
fof(f2846,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| c_in(X0,X2,X3)
| ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
inference(cnf_transformation,[status(thm)],[f2845]) ).
fof(f2924,plain,
! [X0,X1] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1395]) ).
fof(f2929,plain,
! [X0,X1] :
( c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f1399]) ).
fof(f2930,plain,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f1400]) ).
fof(f2954,plain,
! [X0,X1,X2] :
( c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2929,f1540]) ).
fof(f5190,plain,
c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[status(thm)],[f1541,f2930]) ).
fof(f5199,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f1542,f2930]) ).
fof(f5213,plain,
( c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X
| c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f5190,f2846]) ).
fof(f5218,definition,
( sQ0_spl
<=> c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f5219,plain,
( ~ sQ0_spl
| c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f5218]) ).
fof(f5221,definition,
( sQ1_spl
<=> c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f5222,plain,
( ~ sQ1_spl
| c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X ),
inference(component_clause,[status(thm)],[f5221]) ).
fof(f5224,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f5213,f5218,f5221]) ).
fof(f5225,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f5199,f2954]) ).
fof(f5226,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[status(thm)],[f5199,f2924]) ).
fof(f5526,plain,
( ~ sQ0_spl
| ~ c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f5225,f5219]) ).
fof(f5620,plain,
( ~ sQ0_spl
| ~ c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f5526,f1542]) ).
fof(f5621,plain,
( ~ sQ0_spl
| c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f5526,f1541]) ).
fof(f5832,plain,
( ~ sQ0_spl
| ~ c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f5620,f2843]) ).
fof(f5833,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5832,f5621]) ).
fof(f5834,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f5833]) ).
fof(f5837,plain,
( ~ sQ1_spl
| ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(backward_demodulation,[status(thm)],[f5222,f5226]) ).
fof(f5843,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5837,f2844]) ).
fof(f5844,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f5843]) ).
fof(f5845,plain,
$false,
inference(sat_refutation,[status(thm)],[f5224,f5834,f5844]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV275-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 08:38:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.45 % Drodi V4.1.1
% 10.60/1.89 % Refutation found
% 10.60/1.89 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.60/1.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.69/1.95 % Elapsed time: 1.570687 seconds
% 7.69/1.95 % CPU time: 11.570647 seconds
% 7.69/1.95 % Total memory used: 301.257 MB
% 7.69/1.95 % Net memory used: 295.578 MB
%------------------------------------------------------------------------------