%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MSC015-1.005 : TPTP v9.2.1. Released v3.5.0.
% 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 : n014.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 04:48:57 PM UTC 2026
% Result : Unsatisfiable 0.27s 1.62s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of clauses : 74 ( 35 unt; 0 nHn; 74 RR)
% Number of literals : 113 ( 0 equ; 41 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 114 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule1,axiom,
( p(X1,X2,X3,X4,s1)
| ~ p(X1,X2,X3,X4,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).
cnf(rule2,axiom,
( p(X1,X2,X3,s1,s0)
| ~ p(X1,X2,X3,s0,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).
cnf(rule3,axiom,
( p(X1,X2,s1,s0,s0)
| ~ p(X1,X2,s0,s1,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).
cnf(rule4,axiom,
( p(X1,s1,s0,s0,s0)
| ~ p(X1,s0,s1,s1,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4) ).
cnf(rule5,axiom,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).
cnf(goal,negated_conjecture,
~ p(s1,s1,s1,s1,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(init,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).
cnf(i_0_7,axiom,
( p(X1,X2,X3,X4,s1)
| ~ p(X1,X2,X3,X4,s0) ),
rule1,
[final] ).
cnf(i_0_8,axiom,
( p(X1,X2,X3,s1,s0)
| ~ p(X1,X2,X3,s0,s1) ),
rule2,
[final] ).
cnf(i_0_9,axiom,
( p(X1,X2,s1,s0,s0)
| ~ p(X1,X2,s0,s1,s1) ),
rule3,
[final] ).
cnf(i_0_10,axiom,
( p(X1,s1,s0,s0,s0)
| ~ p(X1,s0,s1,s1,s1) ),
rule4,
[final] ).
cnf(i_0_11,axiom,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
rule5,
[final] ).
cnf(i_0_12,negated_conjecture,
~ p(s1,s1,s1,s1,s1),
goal,
[final] ).
cnf(i_0_13,axiom,
p(s0,s0,s0,s0,s0),
init,
[final] ).
cnf(i_0_14,plain,
p(s0,s0,s0,s0,s1),
inference(scs_inference,[],[i_0_13,i_0_7]) ).
cnf(i_0_15,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_16,plain,
p(s0,s0,s0,s1,s0),
inference(scs_inference,[],[i_0_13,i_0_7,i_0_8]) ).
cnf(i_0_17,plain,
( ~ p(X1,X2,X3,s0,s1)
| p(X1,X2,X3,s1,s0) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_18,plain,
p(s0,s0,s0,s1,s1),
inference(scs_inference,[],[i_0_16,i_0_7]) ).
cnf(i_0_19,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_20,plain,
p(s0,s0,s1,s0,s0),
inference(scs_inference,[],[i_0_16,i_0_7,i_0_9]) ).
cnf(i_0_21,plain,
( ~ p(X1,X2,s0,s1,s1)
| p(X1,X2,s1,s0,s0) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_22,plain,
p(s0,s0,s1,s0,s1),
inference(scs_inference,[],[i_0_20,i_0_7]) ).
cnf(i_0_23,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_24,plain,
p(s0,s0,s1,s1,s0),
inference(scs_inference,[],[i_0_20,i_0_7,i_0_8]) ).
cnf(i_0_25,plain,
( ~ p(X1,X2,X3,s0,s1)
| p(X1,X2,X3,s1,s0) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_26,plain,
p(s0,s0,s1,s1,s1),
inference(scs_inference,[],[i_0_24,i_0_7]) ).
cnf(i_0_27,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_28,plain,
p(s0,s1,s0,s0,s0),
inference(scs_inference,[],[i_0_24,i_0_7,i_0_10]) ).
cnf(i_0_29,plain,
( ~ p(X1,s0,s1,s1,s1)
| p(X1,s1,s0,s0,s0) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_30,plain,
p(s0,s1,s0,s0,s1),
inference(scs_inference,[],[i_0_28,i_0_7]) ).
cnf(i_0_31,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_32,plain,
p(s0,s1,s0,s1,s0),
inference(scs_inference,[],[i_0_28,i_0_7,i_0_8]) ).
cnf(i_0_33,plain,
( ~ p(X1,X2,X3,s0,s1)
| p(X1,X2,X3,s1,s0) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_34,plain,
p(s0,s1,s0,s1,s1),
inference(scs_inference,[],[i_0_32,i_0_7]) ).
cnf(i_0_35,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_36,plain,
p(s0,s1,s1,s0,s0),
inference(scs_inference,[],[i_0_32,i_0_7,i_0_9]) ).
cnf(i_0_37,plain,
( ~ p(X1,X2,s0,s1,s1)
| p(X1,X2,s1,s0,s0) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_38,plain,
p(s0,s1,s1,s0,s1),
inference(scs_inference,[],[i_0_36,i_0_7]) ).
cnf(i_0_39,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_40,plain,
p(s0,s1,s1,s1,s0),
inference(scs_inference,[],[i_0_36,i_0_7,i_0_8]) ).
cnf(i_0_41,plain,
( ~ p(X1,X2,X3,s0,s1)
| p(X1,X2,X3,s1,s0) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_42,plain,
p(s0,s1,s1,s1,s1),
inference(scs_inference,[],[i_0_40,i_0_7]) ).
cnf(i_0_43,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_44,plain,
p(s1,s0,s0,s0,s0),
inference(scs_inference,[],[i_0_42,i_0_11]) ).
cnf(i_0_45,plain,
p(s1,s0,s0,s0,s1),
inference(scs_inference,[],[i_0_44,i_0_7]) ).
cnf(i_0_46,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_47,plain,
p(s1,s0,s0,s1,s0),
inference(scs_inference,[],[i_0_44,i_0_7,i_0_8]) ).
cnf(i_0_48,plain,
( ~ p(X1,X2,X3,s0,s1)
| p(X1,X2,X3,s1,s0) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_49,plain,
p(s1,s0,s0,s1,s1),
inference(scs_inference,[],[i_0_47,i_0_7]) ).
cnf(i_0_50,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_51,plain,
p(s1,s0,s1,s0,s0),
inference(scs_inference,[],[i_0_47,i_0_7,i_0_9]) ).
cnf(i_0_52,plain,
( ~ p(X1,X2,s0,s1,s1)
| p(X1,X2,s1,s0,s0) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_53,plain,
p(s1,s0,s1,s0,s1),
inference(scs_inference,[],[i_0_51,i_0_7]) ).
cnf(i_0_54,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_55,plain,
p(s1,s0,s1,s1,s0),
inference(scs_inference,[],[i_0_51,i_0_7,i_0_8]) ).
cnf(i_0_56,plain,
( ~ p(X1,X2,X3,s0,s1)
| p(X1,X2,X3,s1,s0) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_57,plain,
p(s1,s0,s1,s1,s1),
inference(scs_inference,[],[i_0_55,i_0_7]) ).
cnf(i_0_58,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_59,plain,
p(s1,s1,s0,s0,s0),
inference(scs_inference,[],[i_0_55,i_0_7,i_0_10]) ).
cnf(i_0_60,plain,
( ~ p(X1,s0,s1,s1,s1)
| p(X1,s1,s0,s0,s0) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_61,plain,
p(s1,s1,s0,s0,s1),
inference(scs_inference,[],[i_0_59,i_0_7]) ).
cnf(i_0_62,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_63,plain,
p(s1,s1,s0,s1,s0),
inference(scs_inference,[],[i_0_59,i_0_7,i_0_8]) ).
cnf(i_0_64,plain,
( ~ p(X1,X2,X3,s0,s1)
| p(X1,X2,X3,s1,s0) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_65,plain,
p(s1,s1,s0,s1,s1),
inference(scs_inference,[],[i_0_63,i_0_7]) ).
cnf(i_0_66,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_67,plain,
p(s1,s1,s1,s0,s0),
inference(scs_inference,[],[i_0_63,i_0_7,i_0_9]) ).
cnf(i_0_68,plain,
( ~ p(X1,X2,s0,s1,s1)
| p(X1,X2,s1,s0,s0) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_69,plain,
p(s1,s1,s1,s0,s1),
inference(scs_inference,[],[i_0_67,i_0_7]) ).
cnf(i_0_70,plain,
( ~ p(X1,X2,X3,X4,s0)
| p(X1,X2,X3,X4,s1) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_71,plain,
p(s1,s1,s1,s1,s0),
inference(scs_inference,[],[i_0_67,i_0_7,i_0_8]) ).
cnf(i_0_72,plain,
( ~ p(X1,X2,X3,s0,s1)
| p(X1,X2,X3,s1,s0) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_73,plain,
$false,
inference(scs_inference,[],[i_0_12,i_0_71,i_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MSC015-1.005 : TPTP v9.2.1. Released v3.5.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n014.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:36:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.27/1.62 % Version : CSE_E---1.7
% 0.27/1.62 % Problem : theBenchmark.p
% 0.27/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.27/1.62 % SZS output start CNFRefutation
% See solution above
% 0.37/1.70 % Total time : 1.273s
%------------------------------------------------------------------------------