%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 : Fri Sep 25 03:12:38 PM UTC 2026
% Result : Unsatisfiable 4.43s 11.56s
% Output : Proof 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,negated_conjecture,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1_nnf,plain,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( v_K = v_K_H
| c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f2,axiom,
c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
fof(f2_nnf,plain,
! [V_y] : c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y,
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [V_y] : c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y,
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p3,plain,
( v_K = v_K_H
| v_K = v_K_H ),
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(p4,plain,
v_K = v_K_H,
inference(factoring,[status(thm)],[p3]) ).
cnf(f0,negated_conjecture,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f0_nnf,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| v_K != v_K_H ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H),
inference(resolution,[status(thm)],[p4,c0]) ).
cnf(p6,plain,
c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K),
inference(superposition,[status(thm)],[p4,p5]) ).
cnf(p7,plain,
$false,
inference(equality_resolution,[status(thm)],[p6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/10.59 % Computer : n017.cluster.edu
% 0.12/10.59 % Model : x86_64 x86_64
% 0.12/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.59 % Memory : 8046.5625MB
% 0.12/10.59 % OS : Linux 6.8.0-71-generic
% 0.12/10.59 % CPULimit : 300
% 0.12/10.59 % WCLimit : 300
% 0.12/10.59 % DateTime : Thu Sep 24 18:49:43 UTC 2026
% 0.12/10.59 % CPUTime :
% 0.12/10.59 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.43/11.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.43/11.56 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------