%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV925-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 03:24:28 PM UTC 2026
% Result : Unsatisfiable 3.90s 1.08s
% Output : CNFRefutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 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 : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I2_J_0) ).
fof(f693,axiom,
! [X2,X0,X1] : c_Suc(c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(X2,X0,X1),tc_List_Olist(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__length__conv_2) ).
fof(f700,axiom,
! [X0] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__0__conv_1) ).
fof(f701,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)),
inference(reorient_equations,[],[f700]) ).
fof(f729,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f730,plain,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)),
inference(reorient_equations,[],[f729]) ).
tcf(c_700,plain,
! [X0: $i] : c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[],[f39]) ).
tcf(c_1231,plain,
! [X0: $i,X1: $i,X2: $i] : c_Nat_Osize__class_Osize(c_List_Olist_OCons(X0,X1,X2),tc_List_Olist(X2)) = c_Suc(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))),
inference(cnf_transformation,[],[f693]) ).
tcf(c_1237,plain,
! [X0: $i] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[],[f701]) ).
tcf(c_1257,negated_conjecture,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
inference(cnf_transformation,[],[f730]) ).
tcf(c_4665,plain,
c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(demodulation,[status(thm)],[c_1257,c_1237]) ).
tcf(c_4670,plain,
c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(demodulation,[status(thm)],[c_4665,c_1231]) ).
tcf(c_4671,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4670,c_700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV925-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Thu Sep 24 21:19:05 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.33 Running first-order theorem proving
% 0.03/0.33 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 3.90/1.08 % SZS status Started for theBenchmark.p
% 3.90/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 3.90/1.08
% 3.90/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.90/1.08
% 3.90/1.08 % ------ iProver source info
% 3.90/1.08
% 3.90/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 3.90/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.90/1.08 % git: non_committed_changes: false
% 3.90/1.08
% 3.90/1.08 % ------ Parsing...% successful
% 3.90/1.08
% 3.90/1.08
% 3.90/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.90/1.08
% 3.90/1.08 % ------ Preprocessing...%
% 3.90/1.08
% 3.90/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 3.90/1.08
% 3.90/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.90/1.08
% 3.90/1.08
%------------------------------------------------------------------------------