%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV274-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.13s 5.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 11 unt; 2 def)
% Number of atoms : 76 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 35 ~; 37 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_X,V_G,V_H] :
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,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)],[f1]) ).
fof(f10,plain,
! [V_X,V_H] :
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ! [V_G] :
( ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,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)],[f3]) ).
fof(f13,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)],[f12]) ).
fof(f14,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)],[f4]) ).
fof(f15,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)],[f5]) ).
fof(f16,plain,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f20,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_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X0,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f14,f11]) ).
fof(f21,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_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f15,f11]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(X3),tc_Message_Omsg) = X1
| c_in(c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(X3),tc_Message_Omsg),X2,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f20,f13]) ).
fof(f23,plain,
! [X0] :
( ~ c_in(v_Y,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f21,f18]) ).
fof(f24,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[f23,f16]) ).
fof(f29,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),v_H,tc_Message_Omsg),
inference(resolution,[status(thm)],[f24,f9]) ).
fof(f39,plain,
! [X0] :
( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X
| c_in(X0,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f29,f22]) ).
fof(f40,definition,
! [X0] :
( sQ0_spl
<=> ( c_in(X0,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f41,plain,
! [X0] :
( ~ sQ0_spl
| c_in(X0,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,definition,
( sQ1_spl
<=> c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f44,plain,
( ~ sQ1_spl
| c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f39,f40,f43]) ).
fof(f55,plain,
( ~ sQ0_spl
| c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f41,f16]) ).
fof(f58,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f18]) ).
fof(f59,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f58]) ).
fof(f62,plain,
( ~ sQ1_spl
| ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(backward_demodulation,[status(thm)],[f44,f24]) ).
fof(f66,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f17]) ).
fof(f67,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f66]) ).
fof(f68,plain,
$false,
inference(sat_refutation,[status(thm)],[f46,f59,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV274-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n018.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 08:39:49 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.13/5.41 % Refutation found
% 0.13/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.44 % Elapsed time: 0.053265 seconds
% 0.13/5.44 % CPU time: 0.157872 seconds
% 0.13/5.44 % Total memory used: 80.633 MB
% 0.13/5.44 % Net memory used: 80.124 MB
%------------------------------------------------------------------------------