%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO691-1.000 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 03:51:57 PM UTC 2026
% Result : Unsatisfiable 2.52s 1.26s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 13 unt; 3 def)
% Number of atoms : 74 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 34 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 76 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : top(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f2,negated_conjecture,
! [X0] : ~ seq(succ(succ(succ(zero))),X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
fof(f3,axiom,
! [X0,X1] :
( step(X0,X1)
| ~ top(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_top) ).
fof(f4,axiom,
! [X2,X0,X1] :
( step(f(X0,X2),f(X1,X2))
| ~ step(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_left) ).
fof(f5,axiom,
! [X2,X0,X1] :
( step(f(X2,X0),f(X2,X1))
| ~ step(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_right) ).
fof(f6,axiom,
! [X0] : seq(zero,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_sequence_zero) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( seq(succ(X0),X1,X3)
| ~ step(X2,X3)
| ~ seq(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_sequence_succ) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : top(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,negated_conjecture,
! [X0: $i] : ~ seq(succ(succ(succ(zero))),X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( step(X0,X1)
| ~ top(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( step(f(X0,X2),f(X1,X2))
| ~ step(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( step(f(X2,X0),f(X2,X1))
| ~ step(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i] : seq(zero,X0,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( seq(succ(X0),X1,X3)
| ~ step(X2,X3)
| ~ seq(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] : step(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
inference(resolution,[status(thm)],[c_56,c_58]) ).
tcf(c_119,definition,
iPr_def_10 = succ(zero),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_120,definition,
iPr_def_11 = succ(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_121,definition,
iPr_def_12 = succ(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_122,negated_conjecture,
! [X0: $i] : ~ seq(iPr_def_12,X0,X0),
inference(demodulation,[status(thm)],[c_57,c_119,c_120,c_121]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( seq(succ(zero),X0,X1)
| ~ step(X0,X1) ),
inference(superposition,[status(thm)],[c_61,c_62]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( seq(iPr_def_10,X0,X1)
| ~ step(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_265,c_119]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i,X2: $i] :
( seq(succ(iPr_def_10),X0,X2)
| ~ step(X1,X2)
| ~ step(X0,X1) ),
inference(superposition,[status(thm)],[c_266,c_62]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i,X2: $i] :
( seq(iPr_def_11,X0,X2)
| ~ step(X1,X2)
| ~ step(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_274,c_120]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( seq(iPr_def_11,f(X3,X1),X2)
| ~ step(X3,X0)
| ~ step(f(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_59,c_275]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( seq(iPr_def_11,f(X2,X0),f(X3,X1))
| ~ step(X2,X3)
| ~ step(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_286]) ).
tcf(c_361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( seq(succ(iPr_def_11),f(X4,X3),X2)
| ~ step(X4,X0)
| ~ step(X3,X1)
| ~ step(f(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_306,c_62]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( seq(iPr_def_12,f(X4,X3),X2)
| ~ step(X4,X0)
| ~ step(X3,X1)
| ~ step(f(X0,X1),X2) ),
inference(light_normalisation,[status(thm)],[c_361,c_121]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( seq(iPr_def_12,f(X0,X3),f(f(X4,f(X2,a)),X1))
| ~ step(X3,f(X4,a))
| ~ step(X0,f(X1,X2)) ),
inference(superposition,[status(thm)],[c_93,c_362]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ step(X2,f(X0,a))
| ~ step(f(X0,f(X1,a)),f(X2,X1)) ),
inference(superposition,[status(thm)],[c_481,c_122]) ).
tcf(c_932,plain,
! [X0: $i,X1: $i] : ~ step(f(X0,f(X1,a)),f(f(X0,X1),a)),
inference(superposition,[status(thm)],[c_93,c_918]) ).
tcf(c_1004,plain,
$false,
inference(superposition,[status(thm)],[c_93,c_932]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO691-1.000 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n004.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 03:25:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 0.09/0.40
% 0.09/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.40
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 2.52/1.26 % SZS status Started for theBenchmark.p
% 2.52/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/1.26
% 2.52/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.52/1.26
% 2.52/1.26 % ------ iProver source info
% 2.52/1.26
% 2.52/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.52/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.52/1.26 % git: non_committed_changes: false
% 2.52/1.26
% 2.52/1.26 % ------ Parsing...% successful
% 2.52/1.26
% 2.52/1.26
% 2.52/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.52/1.26
% 2.52/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.52/1.26
% 2.52/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.52/1.26
% 2.52/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.52/1.26 % ------ Proving...
% 2.52/1.26 % ------ Problem Properties
% 2.52/1.26
% 2.52/1.26 %
% 2.52/1.26 % clauses 9
% 2.52/1.26 % conjectures 1
% 2.52/1.26 % EPR 2
% 2.52/1.26 % Horn 9
% 2.52/1.26 % unary 6
% 2.52/1.26 % binary 2
% 2.52/1.26 % lits 13
% 2.52/1.26 % lits eq 3
% 2.52/1.26 % fd_pure 0
% 2.52/1.26 % fd_pseudo 0
% 2.52/1.26 % fd_cond 0
% 2.52/1.26 % fd_pseudo_cond 0
% 2.52/1.26 % AC symbols 0
% 2.52/1.26
% 2.52/1.26 % ------ Schedule dynamic 5 is on
% 2.52/1.26
% 2.52/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.52/1.26
% 2.52/1.26
% 2.52/1.26 % ------
% 2.52/1.26 % Current options:
% 2.52/1.26 % ------
% 2.52/1.26
% 2.52/1.26
% 2.52/1.26 %
% 2.52/1.26
% 2.52/1.26 % ------ Proving...
% 2.52/1.26 %
% 2.52/1.26
% 2.52/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/1.26
% 2.52/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.52/1.26
% 2.52/1.26
%------------------------------------------------------------------------------