%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC190-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n011.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 05:18:40 PM UTC 2026
% Result : Unsatisfiable 1.21s 1.89s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of clauses : 52 ( 21 unt; 0 nHn; 52 RR)
% Number of literals : 129 ( 28 equ; 83 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_11,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(clause149,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(co1_10,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(clause175,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause175) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(co1_8,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_14,negated_conjecture,
( sk9 = X1
| ~ ssItem(X1)
| ~ memberP(sk3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(co1_9,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(co1_7,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause157,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(co1_12,negated_conjecture,
sk5 != sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_0_16,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
co1_11 ).
cnf(c_0_17,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149 ).
cnf(c_0_18,negated_conjecture,
ssList(sk8),
co1_10 ).
cnf(c_0_19,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
clause175 ).
cnf(c_0_20,negated_conjecture,
( app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8)) = sk1
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_22,negated_conjecture,
ssItem(sk6),
co1_8 ).
cnf(c_0_23,negated_conjecture,
( sk9 = X1
| ~ ssItem(X1)
| ~ memberP(sk3,X1) ),
co1_14 ).
cnf(c_0_24,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_25,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( app(app(sk7,cons(sk5,nil)),cons(sk6,sk8)) = sk1
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_18])]) ).
cnf(c_0_27,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_28,negated_conjecture,
( sk9 = X1
| ~ memberP(sk1,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( memberP(sk1,sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_22]),c_0_27]),c_0_18])]) ).
cnf(c_0_30,negated_conjecture,
ssList(sk7),
co1_9 ).
cnf(c_0_31,negated_conjecture,
( sk9 = sk6
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_22])]) ).
cnf(c_0_32,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85 ).
cnf(c_0_33,negated_conjecture,
( app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8) = sk1
| ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_30])]) ).
cnf(c_0_34,negated_conjecture,
ssItem(sk5),
co1_7 ).
cnf(c_0_35,negated_conjecture,
( sk9 = sk6
| ~ ssList(cons(sk6,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_30])]) ).
cnf(c_0_36,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_37,axiom,
ssList(nil),
clause8 ).
cnf(c_0_38,negated_conjecture,
( app(app(sk7,cons(sk5,cons(sk6,nil))),sk8) = sk1
| ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_21]),c_0_34])]) ).
cnf(c_0_39,negated_conjecture,
( sk9 = sk6
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_22]),c_0_37])]) ).
cnf(c_0_40,negated_conjecture,
( app(sk7,app(cons(sk5,cons(sk6,nil)),sk8)) = sk1
| ~ ssList(cons(sk5,cons(sk6,nil)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_38]),c_0_30]),c_0_18])]) ).
cnf(c_0_41,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157 ).
cnf(c_0_42,negated_conjecture,
sk9 = sk6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_34]),c_0_37])]) ).
cnf(c_0_43,negated_conjecture,
( app(sk7,cons(sk5,app(cons(sk6,nil),sk8))) = sk1
| ~ ssList(cons(sk5,cons(sk6,nil)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_34]),c_0_18])]) ).
cnf(c_0_44,negated_conjecture,
( sk6 = X1
| ~ memberP(sk1,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_28,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( memberP(sk1,sk5)
| ~ ssList(app(cons(sk6,nil),sk8))
| ~ ssList(cons(sk5,cons(sk6,nil)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_43]),c_0_34]),c_0_27]),c_0_30])]) ).
cnf(c_0_46,negated_conjecture,
sk5 != sk6,
co1_12 ).
cnf(c_0_47,negated_conjecture,
( ~ ssList(app(cons(sk6,nil),sk8))
| ~ ssList(cons(sk5,cons(sk6,nil)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_34])]),c_0_46]) ).
cnf(c_0_48,negated_conjecture,
( ~ ssList(cons(sk5,cons(sk6,nil)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_32]),c_0_18])]) ).
cnf(c_0_49,negated_conjecture,
( ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_36]),c_0_34])]) ).
cnf(c_0_50,negated_conjecture,
~ ssList(cons(sk5,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_36]),c_0_22]),c_0_37])]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_34]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.19 % Problem : SWC190-1 : TPTP v9.2.1. Released v2.4.0.
% 0.06/0.19 % 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
% 0.12/0.42 % Computer : n011.cluster.edu
% 0.12/0.42 % Model : x86_64 x86_64
% 0.12/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42 % Memory : 8042.1875MB
% 0.12/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.42 % CPULimit : 300
% 0.12/0.42 % WCLimit : 300
% 0.12/0.42 % DateTime : Tue May 5 04:33:02 EDT 2026
% 0.12/0.43 % CPUTime :
% 0.14/0.46 % start to proof: theBenchmark
% 1.21/1.89 % Version : CSE_E---1.7
% 1.21/1.89 % Problem : theBenchmark.p
% 1.21/1.89 % SZS status Unsatisfiable for theBenchmark.p
% 1.21/1.89 % SZS output start CNFRefutation
% See solution above
% 1.21/1.89 % Total time : 1.383s
%------------------------------------------------------------------------------