%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 03:29:43 PM UTC 2026
% Result : Theorem 3.81s 1.28s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 13 unt; 1 def)
% Number of atoms : 33 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 8 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 15 !; 7 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
( hBOOL(hoare_1883395792gleton)
<=> ? [X0,X1] : ti(state,X0) != ti(state,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
fof(f62,axiom,
hBOOL(hoare_1883395792gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f63,conjecture,
! [X0] :
~ ! [X1] : ti(state,X1) = ti(state,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f64,negated_conjecture,
~ ! [X0] :
~ ! [X1] : ti(state,X1) = ti(state,X0),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f99,plain,
? [X0] :
! [X1] : ti(state,X1) = ti(state,X0),
inference(ennf_transformation,[],[f64]) ).
fof(f101,plain,
( ( ~ hBOOL(hoare_1883395792gleton)
| ? [X0,X1] : ti(state,X0) != ti(state,X1) )
& ( ! [X0,X1] : ti(state,X0) = ti(state,X1)
| hBOOL(hoare_1883395792gleton) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f102,plain,
( ( ~ hBOOL(hoare_1883395792gleton)
| ? [X2,X3] : ti(state,X2) != ti(state,X3) )
& ( ! [X0,X1] : ti(state,X0) = ti(state,X1)
| hBOOL(hoare_1883395792gleton) ) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
( ( ~ hBOOL(hoare_1883395792gleton)
| ti(state,sK0) != ti(state,sK1) )
& ( ! [X0,X1] : ti(state,X0) = ti(state,X1)
| hBOOL(hoare_1883395792gleton) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0),skolemize(X3,sK1)],[f102]) ).
fof(f121,plain,
! [X1] : ti(state,X1) = ti(state,sK11),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f99]) ).
fof(f140,plain,
( ~ hBOOL(hoare_1883395792gleton)
| ti(state,sK0) != ti(state,sK1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f197,plain,
hBOOL(hoare_1883395792gleton),
inference(cnf_transformation,[],[f62]) ).
fof(f198,plain,
! [X1] : ti(state,X1) = ti(state,sK11),
inference(cnf_transformation,[],[f121]) ).
tcf(c_68,plain,
( ~ hBOOL(hoare_1883395792gleton)
| ( ti(state,sK0) != ti(state,sK1) ) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_123,plain,
hBOOL(hoare_1883395792gleton),
inference(cnf_transformation,[],[f197]) ).
tcf(c_124,negated_conjecture,
! [X0: $i] : ti(state,X0) = ti(state,sK11),
inference(cnf_transformation,[],[f198]) ).
tcf(c_186,plain,
ti(state,sK0) != ti(state,sK1),
inference(global_subsumption_just,[status(thm)],[c_68,c_123,c_68]) ).
tcf(c_1531,definition,
iPr_def_10 = ti(state,sK11),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1532,negated_conjecture,
! [X0: $i] : ti(state,X0) = iPr_def_10,
inference(demodulation,[status(thm)],[c_124,c_1531]) ).
tcf(c_2657,plain,
$false,
inference(ground_joinability,[status(thm)],[c_186,c_1532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 22:33:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 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
% 0.13/0.43 % Proving...
% 3.81/1.28 % SZS status Started for theBenchmark.p
% 3.81/1.28 % SZS status Theorem for theBenchmark.p
% 3.81/1.28
% 3.81/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.81/1.28
% 3.81/1.28 % ------ iProver source info
% 3.81/1.28
% 3.81/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.81/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.81/1.28 % git: non_committed_changes: false
% 3.81/1.28
% 3.81/1.28 % ------ Parsing...
% 3.81/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.81/1.28
% 3.81/1.28 % ------ Preprocessing... sup_sim: 8 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.81/1.28
% 3.81/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.81/1.28
% 3.81/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.81/1.28 % ------ Proving...
% 3.81/1.28 % ------ Problem Properties
% 3.81/1.28
% 3.81/1.28 %
% 3.81/1.28 % clauses 73
% 3.81/1.28 % conjectures 1
% 3.81/1.28 % EPR 7
% 3.81/1.28 % Horn 71
% 3.81/1.28 % unary 35
% 3.81/1.28 % binary 22
% 3.81/1.28 % lits 133
% 3.81/1.28 % lits eq 45
% 3.81/1.28 % fd_pure 0
% 3.81/1.28 % fd_pseudo 0
% 3.81/1.28 % fd_cond 0
% 3.81/1.28 % fd_pseudo_cond 3
% 3.81/1.28 % AC symbols 0
% 3.81/1.28
% 3.81/1.28 % ------ Schedule dynamic 5 is on
% 3.81/1.28
% 3.81/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.81/1.28
% 3.81/1.28
% 3.81/1.28 % ------
% 3.81/1.28 % Current options:
% 3.81/1.28 % ------
% 3.81/1.28
% 3.81/1.28
% 3.81/1.28 %
% 3.81/1.28
% 3.81/1.28 % ------ Proving...
% 3.81/1.28 %
% 3.81/1.28
% 3.81/1.28 % SZS status Theorem for theBenchmark.p
% 3.81/1.28
% 3.81/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.28
% 3.81/1.28
%------------------------------------------------------------------------------