%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC094-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 03:07:52 PM UTC 2026
% Result : Unsatisfiable 4.02s 1.29s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 44 ( 19 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 53 ( 30 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk4 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
sk3 = sk4,
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( app(X0,X2) != sk2
| app(app(X0,X1),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,plain,
sk1 = sk4,
inference(definition_unfolding,[],[f205,f207]) ).
fof(f213,plain,
! [X2,X0,X1] :
( app(X0,X2) != sk4
| app(app(X0,X1),X2) != sk4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f208,f209,f204]) ).
tcf(c_249,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_314,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_430,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk4 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_6444,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk4 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(demodulation,[status(thm)],[c_431]) ).
tcf(c_6445,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_430]) ).
tcf(c_8960,plain,
app(sk4,nil) = sk4,
inference(superposition,[status(thm)],[c_6445,c_314]) ).
tcf(c_9002,plain,
! [X0: $i] :
( ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(sk4,X0) != sk4 ) ),
inference(superposition,[status(thm)],[c_8960,c_6444]) ).
tcf(c_9003,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(sk4,X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9002,c_249,c_6445]) ).
tcf(c_9006,plain,
( ~ ssList(nil)
| ( app(sk4,nil) != sk4 ) ),
inference(instantiation,[status(thm)],[c_9003]) ).
tcf(c_9007,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9006,c_8960,c_249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 16:21:32 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 4.02/1.29 % SZS status Started for theBenchmark.p
% 4.02/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.29
% 4.02/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.02/1.29
% 4.02/1.29 % ------ iProver source info
% 4.02/1.29
% 4.02/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.02/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.02/1.29 % git: non_committed_changes: false
% 4.02/1.29
% 4.02/1.29 % ------ Parsing...% successful
% 4.02/1.29
% 4.02/1.29
% 4.02/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.02/1.29
% 4.02/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.02/1.29
% 4.02/1.29 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.02/1.29
% 4.02/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.02/1.29 % ------ Proving...
% 4.02/1.29 % ------ Problem Properties
% 4.02/1.29
% 4.02/1.29 %
% 4.02/1.29 % clauses 179
% 4.02/1.29 % conjectures 2
% 4.02/1.29 % EPR 53
% 4.02/1.29 % Horn 151
% 4.02/1.29 % unary 59
% 4.02/1.29 % binary 21
% 4.02/1.29 % lits 547
% 4.02/1.29 % lits eq 71
% 4.02/1.29 % fd_pure 0
% 4.02/1.29 % fd_pseudo 0
% 4.02/1.29 % fd_cond 15
% 4.02/1.29 % fd_pseudo_cond 14
% 4.02/1.29 % AC symbols 0
% 4.02/1.29
% 4.02/1.29 % ------ Schedule dynamic 5 is on
% 4.02/1.29
% 4.02/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.02/1.29
% 4.02/1.29
% 4.02/1.29 % ------
% 4.02/1.29 % Current options:
% 4.02/1.29 % ------
% 4.02/1.29
% 4.02/1.29
% 4.02/1.29 %
% 4.02/1.29
% 4.02/1.29 % ------ Proving...
% 4.02/1.29 %
% 4.02/1.29
% 4.02/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/1.29
% 4.02/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.02/1.29
% 4.02/1.29
%------------------------------------------------------------------------------