%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO504+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 01:21:10 PM UTC 2026
% Result : Theorem 4.21s 6.10s
% Output : CNFRefutation 4.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 16 unt; 0 def)
% Number of atoms : 69 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 35 ~; 28 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 92 !; 3 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_3) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_4) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_5) ).
fof(f99,axiom,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f104,axiom,
! [X0,X1,X2] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_13) ).
fof(f118,conjecture,
! [X0,X1,X2] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_2) ).
fof(f119,negated_conjecture,
~ ! [X0,X1,X2] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f118]) ).
fof(f130,axiom,
! [X0,X1,X2] :
( ( ~ s_e(X0,X2,X0,s(X1,X2))
| s_r(X0,X1,X2) )
& ( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_1) ).
fof(f133,plain,
? [X0,X1,X2] :
( ~ s_r(X2,X1,X0)
& s_r(X0,X1,X2) ),
inference(ennf_transformation,[],[f119]) ).
fof(f134,plain,
( ~ s_r(sK2,sK1,sK0)
& s_r(sK0,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f133]) ).
fof(f135,plain,
~ s_r(sK2,sK1,sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f136,plain,
s_r(sK0,sK1,sK2),
inference(cnf_transformation,[],[f134]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X2,X0,s(X1,X2))
| s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f138,plain,
! [X2,X0,X1] :
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f12]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f162,plain,
! [X2,X0,X1] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[],[f104]) ).
fof(f167,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f99]) ).
tcf(c_49,negated_conjecture,
s_r(sK0,sK1,sK2),
inference(cnf_transformation,[],[f136]) ).
tcf(c_50,negated_conjecture,
~ s_r(sK2,sK1,sK0),
inference(cnf_transformation,[],[f135]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X2,X1)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[],[f162]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f167]) ).
tcf(c_988,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,s(X1,X2))
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_51]) ).
tcf(c_989,plain,
s_e(sK0,sK2,sK0,s(sK1,sK2)),
inference(unflattening,[status(thm)],[c_988]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ s_e(X2,X0,X2,s(X1,X0))
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_52]) ).
tcf(c_994,plain,
~ s_e(sK2,sK0,sK2,s(sK1,sK0)),
inference(unflattening,[status(thm)],[c_993]) ).
tcf(c_2779,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,s(X1,X2),s(X1,X0),X2),
inference(superposition,[status(thm)],[c_81,c_76]) ).
tcf(c_3035,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,s(X1,X2),X2,s(X1,X0)),
inference(superposition,[status(thm)],[c_2779,c_61]) ).
tcf(c_3499,plain,
( s_e(sK2,sK0,sK2,s(sK1,sK0))
| ~ s_e(sK0,sK2,sK2,s(sK1,sK0)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_3900,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,sK2,X0,X1)
| ~ s_e(sK0,s(sK1,sK2),X0,X1) ),
inference(superposition,[status(thm)],[c_989,c_63]) ).
tcf(c_4128,plain,
s_e(sK0,sK2,sK2,s(sK1,sK0)),
inference(superposition,[status(thm)],[c_3035,c_3900]) ).
tcf(c_4152,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4128,c_3499,c_994]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO504+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n002.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 12:17:26 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 4.21/6.10 % SZS status Started for theBenchmark.p
% 4.21/6.10 % SZS status Theorem for theBenchmark.p
% 4.21/6.10
% 4.21/6.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.21/6.10
% 4.21/6.10 % ------ iProver source info
% 4.21/6.10
% 4.21/6.10 % git: date: 2026-07-19 20:42:38 +0200
% 4.21/6.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.21/6.10 % git: non_committed_changes: false
% 4.21/6.10
% 4.21/6.10 % ------ Parsing...
% 4.21/6.10 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.21/6.10
% 4.21/6.10 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 4.21/6.10
% 4.21/6.10 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.21/6.10
% 4.21/6.10 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.21/6.10 % ------ Proving...
% 4.21/6.10 % ------ Problem Properties
% 4.21/6.10
% 4.21/6.10 %
% 4.21/6.10 % clauses 74
% 4.21/6.10 % conjectures 0
% 4.21/6.10 % EPR 59
% 4.21/6.10 % Horn 59
% 4.21/6.10 % unary 15
% 4.21/6.10 % binary 28
% 4.21/6.10 % lits 210
% 4.21/6.10 % lits eq 38
% 4.21/6.10 % fd_pure 0
% 4.21/6.10 % fd_pseudo 0
% 4.21/6.10 % fd_cond 0
% 4.21/6.10 % fd_pseudo_cond 26
% 4.21/6.10 % AC symbols 0
% 4.21/6.10
% 4.21/6.10 % ------ Schedule dynamic 5 is on
% 4.21/6.10
% 4.21/6.10 % ------ no conjectures: strip conj schedule
% 4.21/6.10
% 4.21/6.10 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.21/6.10
% 4.21/6.10
% 4.21/6.10 % ------
% 4.21/6.10 % Current options:
% 4.21/6.10 % ------
% 4.21/6.10
% 4.21/6.10
% 4.21/6.10 %
% 4.21/6.10
% 4.21/6.10 % ------ Proving...
% 4.21/6.10 %
% 4.21/6.10
% 4.21/6.10 % SZS status Theorem for theBenchmark.p
% 4.21/6.10
% 4.21/6.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.21/6.10
% 4.21/6.10
%------------------------------------------------------------------------------