%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV817-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:27:28 PM UTC 2026
% Result : Unsatisfiable 0.28s 1.63s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of clauses : 20 ( 10 unt; 2 nHn; 13 RR)
% Number of literals : 32 ( 23 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 19 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_state__not__singleton__def_1,axiom,
( c_Hoare__Mirabelle_Ostate__not__singleton
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_1) ).
cnf(cls_state__not__singleton__def_0,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_0) ).
cnf(cls_state__not__singleton__def__raw_0,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def__raw_0) ).
cnf(cls_conjecture_1,negated_conjecture,
X1 = v_x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(i_0_5,axiom,
( c_Hoare__Mirabelle_Ostate__not__singleton
| X1 = X2 ),
cls_state__not__singleton__def_1,
[final] ).
cnf(i_0_6,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
cls_state__not__singleton__def_0,
[final] ).
cnf(i_0_7,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
cls_state__not__singleton__def__raw_0,
[final] ).
cnf(i_0_8,negated_conjecture,
X1 = v_x,
cls_conjecture_1,
[final] ).
cnf(i_0_9,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
cls_conjecture_0,
[final] ).
cnf(i_0_10,axiom,
X1 = X1 ).
cnf(i_0_11,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_12,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_10_001,axiom,
X1 = X1 ).
cnf(i_0_11_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_12_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_13,plain,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2,
inference(scs_inference,[],[i_0_9,i_0_6]) ).
cnf(i_0_14,plain,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2,
inference(scs_inference,[],[i_0_9,i_0_7]) ).
cnf(i_0_15,plain,
v_x = X1,
inference(scs_inference,[],[i_0_8,i_0_11]) ).
cnf(i_0_16,plain,
$false,
inference(scs_inference,[],[i_0_8,i_0_15,i_0_13,i_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV817-1 : TPTP v9.2.1. Released v4.1.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.18/0.34 % Computer : n022.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue May 5 06:02:21 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.22/0.36 % start to proof: theBenchmark
% 0.28/1.63 % Version : CSE_E---1.7
% 0.28/1.63 % Problem : theBenchmark.p
% 0.28/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 0.28/1.63 % SZS output start CNFRefutation
% See solution above
% 0.28/1.65 % Total time : 1.275s
%------------------------------------------------------------------------------