TSTP Solution File: SWC120-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC120-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 : Thu Aug 31 20:41:07 EDT 2023
% Result : Unsatisfiable 7.93s 1.57s
% Output : CNFRefutation 7.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of clauses : 64 ( 17 unt; 13 nHn; 64 RR)
% Number of literals : 191 ( 61 equ; 124 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(c_52,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
cnf(c_53,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(c_54,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(c_57,negated_conjecture,
( app(sk3,X0) != X1
| tl(sk4) != X0
| ~ neq(nil,sk4)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = sk4
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(c_59,negated_conjecture,
( app(sk3,X0) != X1
| tl(sk4) != X0
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( ~ neq(sk1,nil)
| ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_68,plain,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_134,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_137,plain,
( ~ ssList(X0)
| X0 = nil
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(c_138,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_145,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_159,plain,
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
cnf(c_160,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_164,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(c_175,plain,
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(c_210,plain,
( app(X0,X1) != app(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(c_233,plain,
( app(app(X0,X1),X2) != X3
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
cnf(c_251,plain,
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_175]) ).
cnf(c_260,plain,
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(unflattening,[status(thm)],[c_233]) ).
cnf(c_262,negated_conjecture,
( ~ ssList(app(sk3,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ neq(nil,sk4)
| app(sk3,tl(sk4)) = sk4
| neq(sk2,nil) ),
inference(unflattening,[status(thm)],[c_57]) ).
cnf(c_263,negated_conjecture,
( ~ ssList(app(sk3,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk3,tl(sk4)) = sk4 ),
inference(unflattening,[status(thm)],[c_59]) ).
cnf(c_398,negated_conjecture,
neq(sk2,nil),
inference(global_subsumption_just,[status(thm)],[c_262,c_55]) ).
cnf(c_1533,plain,
neq(sk4,nil),
inference(demodulation,[status(thm)],[c_398,c_53]) ).
cnf(c_1743,plain,
( ~ neq(sk1,nil)
| ~ neq(sk4,nil)
| ~ segmentP(sk4,sk1) ),
inference(light_normalisation,[status(thm)],[c_60,c_53]) ).
cnf(c_1744,plain,
( ~ neq(sk1,nil)
| ~ segmentP(sk4,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1743,c_1533]) ).
cnf(c_2371,plain,
( ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk1,tl(sk4)) = sk4 ),
inference(light_normalisation,[status(thm)],[c_263,c_54]) ).
cnf(c_2372,plain,
( ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ neq(nil,sk4)
| app(sk1,tl(sk4)) = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2371,c_1533]) ).
cnf(c_2841,plain,
( X0 != sk4
| X0 != nil
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_1533,c_251]) ).
cnf(c_2842,plain,
( sk4 != nil
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_2841]) ).
cnf(c_2843,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_2842,c_52,c_2842]) ).
cnf(c_2869,plain,
( X0 != sk4
| X1 != nil
| ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ ssList(X0)
| ~ ssList(X1)
| app(sk1,tl(sk4)) = sk4
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_2372,c_160]) ).
cnf(c_2870,plain,
( ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ ssList(sk4)
| ~ ssList(nil)
| app(sk1,tl(sk4)) = sk4
| sk4 = nil ),
inference(unflattening,[status(thm)],[c_2869]) ).
cnf(c_2871,plain,
( app(sk1,tl(sk4)) = sk4
| ~ ssList(tl(sk4))
| ~ ssList(app(sk1,tl(sk4))) ),
inference(global_subsumption_just,[status(thm)],[c_2870,c_52,c_68,c_2842,c_2870]) ).
cnf(c_2872,plain,
( ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| app(sk1,tl(sk4)) = sk4 ),
inference(renaming,[status(thm)],[c_2871]) ).
cnf(c_2896,plain,
( X0 != sk1
| X1 != nil
| ~ segmentP(sk4,sk1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_1744,c_160]) ).
cnf(c_2897,plain,
( ~ segmentP(sk4,sk1)
| ~ ssList(sk1)
| ~ ssList(nil)
| sk1 = nil ),
inference(unflattening,[status(thm)],[c_2896]) ).
cnf(c_2898,plain,
( ~ segmentP(sk4,sk1)
| sk1 = nil ),
inference(global_subsumption_just,[status(thm)],[c_2897,c_49,c_68,c_2897]) ).
cnf(c_9262,plain,
app(nil,sk1) = sk1,
inference(superposition,[status(thm)],[c_49,c_134]) ).
cnf(c_9263,plain,
app(nil,sk4) = sk4,
inference(superposition,[status(thm)],[c_52,c_134]) ).
cnf(c_9357,plain,
( ~ ssList(tl(sk4))
| ~ ssList(sk1)
| app(sk1,tl(sk4)) = sk4 ),
inference(superposition,[status(thm)],[c_145,c_2872]) ).
cnf(c_9362,plain,
( ~ ssList(tl(sk4))
| app(sk1,tl(sk4)) = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9357,c_49]) ).
cnf(c_9391,plain,
( ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(superposition,[status(thm)],[c_9262,c_260]) ).
cnf(c_9392,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_9391,c_9262]) ).
cnf(c_9393,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9392,c_68,c_49]) ).
cnf(c_9410,plain,
( ~ ssList(sk4)
| app(sk1,tl(sk4)) = sk4
| sk4 = nil ),
inference(superposition,[status(thm)],[c_137,c_9362]) ).
cnf(c_9411,plain,
app(sk1,tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_9410,c_2843,c_52]) ).
cnf(c_9427,plain,
( ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| segmentP(sk4,sk1) ),
inference(superposition,[status(thm)],[c_9411,c_9393]) ).
cnf(c_9431,plain,
( ~ ssList(tl(sk4))
| ~ ssList(sk4)
| segmentP(sk4,sk1) ),
inference(light_normalisation,[status(thm)],[c_9427,c_9411]) ).
cnf(c_9432,plain,
( ~ ssList(tl(sk4))
| segmentP(sk4,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9431,c_52]) ).
cnf(c_9439,plain,
( ~ ssList(sk4)
| sk4 = nil
| segmentP(sk4,sk1) ),
inference(superposition,[status(thm)],[c_137,c_9432]) ).
cnf(c_9440,plain,
segmentP(sk4,sk1),
inference(forward_subsumption_resolution,[status(thm)],[c_9439,c_2843,c_52]) ).
cnf(c_9441,plain,
sk1 = nil,
inference(backward_subsumption_resolution,[status(thm)],[c_2898,c_9440]) ).
cnf(c_9445,plain,
app(nil,tl(sk4)) = sk4,
inference(demodulation,[status(thm)],[c_9411,c_9441]) ).
cnf(c_10136,plain,
( ~ ssList(sk4)
| sk4 = nil
| ssList(tl(sk4)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_10137,plain,
( ~ ssList(sk4)
| sk4 = nil
| ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_10454,plain,
( cons(hd(sk4),tl(sk4)) = sk4
| sk4 = nil ),
inference(superposition,[status(thm)],[c_52,c_164]) ).
cnf(c_10486,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_10454,c_2843]) ).
cnf(c_11016,plain,
( tl(sk4) != sk4
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4)) ),
inference(superposition,[status(thm)],[c_10486,c_159]) ).
cnf(c_15902,plain,
( app(nil,X0) != sk4
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(nil)
| X0 = sk4 ),
inference(superposition,[status(thm)],[c_9263,c_210]) ).
cnf(c_15920,plain,
( app(nil,X0) != sk4
| ~ ssList(X0)
| X0 = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_15902,c_68,c_52]) ).
cnf(c_16867,plain,
( ~ ssList(tl(sk4))
| tl(sk4) = sk4 ),
inference(superposition,[status(thm)],[c_9445,c_15920]) ).
cnf(c_16870,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16867,c_11016,c_10137,c_10136,c_2842,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWC120-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.09/0.29 % Computer : n023.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 28 16:21:55 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.93/1.57 % SZS status Started for theBenchmark.p
% 7.93/1.57 % SZS status Unsatisfiable for theBenchmark.p
% 7.93/1.57
% 7.93/1.57 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.93/1.57
% 7.93/1.57 ------ iProver source info
% 7.93/1.57
% 7.93/1.57 git: date: 2023-05-31 18:12:56 +0000
% 7.93/1.57 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.93/1.57 git: non_committed_changes: false
% 7.93/1.57 git: last_make_outside_of_git: false
% 7.93/1.57
% 7.93/1.57 ------ Parsing...successful
% 7.93/1.57
% 7.93/1.57
% 7.93/1.57
% 7.93/1.57 ------ Preprocessing... sup_sim: 7 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 7.93/1.57
% 7.93/1.57 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.93/1.57
% 7.93/1.57 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.93/1.57 ------ Proving...
% 7.93/1.57 ------ Problem Properties
% 7.93/1.57
% 7.93/1.57
% 7.93/1.57 clauses 185
% 7.93/1.57 conjectures 4
% 7.93/1.57 EPR 59
% 7.93/1.57 Horn 157
% 7.93/1.57 unary 63
% 7.93/1.57 binary 23
% 7.93/1.57 lits 553
% 7.93/1.57 lits eq 75
% 7.93/1.57 fd_pure 0
% 7.93/1.57 fd_pseudo 0
% 7.93/1.57 fd_cond 15
% 7.93/1.57 fd_pseudo_cond 14
% 7.93/1.57 AC symbols 0
% 7.93/1.57
% 7.93/1.57 ------ Schedule dynamic 5 is on
% 7.93/1.57
% 7.93/1.57 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.93/1.57
% 7.93/1.57
% 7.93/1.57 ------
% 7.93/1.57 Current options:
% 7.93/1.57 ------
% 7.93/1.57
% 7.93/1.57
% 7.93/1.57
% 7.93/1.57
% 7.93/1.57 ------ Proving...
% 7.93/1.57
% 7.93/1.57
% 7.93/1.57 % SZS status Unsatisfiable for theBenchmark.p
% 7.93/1.57
% 7.93/1.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.93/1.57
% 7.93/1.58
%------------------------------------------------------------------------------