%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWX186+1 : TPTP v9.3.1. Released v9.3.0.
% 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 03:32:46 PM UTC 2026
% Result : Theorem 2.20s 1.26s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 6 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 37 !; 6 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : nil != cons(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(f6,axiom,
! [X0] : drop(s(X0),nil) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
fof(f7,axiom,
! [X0,X1,X2] : drop(s(X0),cons(X1,X2)) = drop(X0,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(f9,conjecture,
? [X0,X1,X2] :
~ ( drop(X0,X1) = drop(X0,X2)
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_009) ).
fof(f10,negated_conjecture,
~ ? [X0,X1,X2] :
~ ( drop(X0,X1) = drop(X0,X2)
=> X1 = X2 ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( drop(X0,X2) != drop(X0,X1)
| X1 = X2 ),
inference(ennf_transformation,[],[f10]) ).
fof(f14,plain,
! [X0,X1] : cons(X0,X1) != nil,
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0] : nil = drop(s(X0),nil),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
! [X2,X0,X1] : drop(s(X0),cons(X1,X2)) = drop(X0,X2),
inference(cnf_transformation,[],[f7]) ).
fof(f20,plain,
! [X2,X0,X1] :
( drop(X0,X2) != drop(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] : cons(X0,X1) != nil,
inference(cnf_transformation,[],[f14]) ).
tcf(c_54,plain,
! [X0: $i] : drop(s(X0),nil) = nil,
inference(cnf_transformation,[],[f17]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : drop(s(X0),cons(X1,X2)) = drop(X0,X2),
inference(cnf_transformation,[],[f18]) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( drop(X0,X1) != drop(X0,X2) ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_95,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( drop(X0,X1) != drop(X0,X2) ) ),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( drop(s(X0),X1) != nil ) ),
inference(superposition,[status(thm)],[c_54,c_95]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,X1) = nil )
| ( drop(X0,X1) != nil ) ),
inference(superposition,[status(thm)],[c_55,c_159]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] : drop(X0,X1) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_170,c_51]) ).
tcf(c_174,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX186+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 23:32:32 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 2.20/1.26 % SZS status Started for theBenchmark.p
% 2.20/1.26 % SZS status Theorem for theBenchmark.p
% 2.20/1.26
% 2.20/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.20/1.26
% 2.20/1.26 % ------ iProver source info
% 2.20/1.26
% 2.20/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.20/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.20/1.26 % git: non_committed_changes: false
% 2.20/1.26
% 2.20/1.26 % ------ Parsing...
% 2.20/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.20/1.26
% 2.20/1.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.20/1.26
% 2.20/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.20/1.26
% 2.20/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.20/1.26 % ------ Proving...
% 2.20/1.26 % ------ Problem Properties
% 2.20/1.26
% 2.20/1.26 %
% 2.20/1.26 % clauses 9
% 2.20/1.26 % conjectures 1
% 2.20/1.26 % EPR 0
% 2.20/1.26 % Horn 9
% 2.20/1.26 % unary 8
% 2.20/1.26 % binary 1
% 2.20/1.26 % lits 10
% 2.20/1.26 % lits eq 10
% 2.20/1.26 % fd_pure 0
% 2.20/1.26 % fd_pseudo 0
% 2.20/1.26 % fd_cond 0
% 2.20/1.26 % fd_pseudo_cond 1
% 2.20/1.26 % AC symbols 0
% 2.20/1.26
% 2.20/1.26 % ------ Schedule dynamic 5 is on
% 2.20/1.26
% 2.20/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.20/1.26
% 2.20/1.26
% 2.20/1.26 % ------
% 2.20/1.26 % Current options:
% 2.20/1.26 % ------
% 2.20/1.26
% 2.20/1.26
% 2.20/1.26 %
% 2.20/1.26
% 2.20/1.26 % ------ Proving...
% 2.20/1.26 %
% 2.20/1.26
% 2.20/1.26 % SZS status Theorem for theBenchmark.p
% 2.20/1.26
% 2.20/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.20/1.26
% 2.20/1.26
%------------------------------------------------------------------------------