%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ROB005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.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 02:39:42 PM UTC 2026
% Result : Unsatisfiable 0.97s 6.73s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 3 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
fof(f4,axiom,
add(c,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence) ).
fof(f5,plain,
c = add(c,c),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
fof(f7,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
inference(reorient_equations,[],[f6]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
add(c,c) = c,
inference(cnf_transformation,[],[f5]) ).
tcf(c_58,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(cnf_transformation,[],[f7]) ).
tcf(c_62,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) != b,
inference(theory_normalisation,[status(thm)],[c_58,c_55,c_54]) ).
tcf(c_115,plain,
negate(add(negate(c),negate(add(c,negate(c))))) = c,
inference(superposition,[status(thm)],[c_57,c_56]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] : negate(add(X0,negate(add(negate(add(X0,X1)),negate(negate(add(X0,negate(X1)))))))) = negate(add(X0,X1)),
inference(superposition,[status(thm)],[c_56,c_56]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] : negate(add(negate(add(X0,add(negate(add(X1,X2)),negate(add(X1,negate(X2)))))),negate(add(X0,X1)))) = X0,
inference(superposition,[status(thm)],[c_56,c_56]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] : negate(add(negate(add(X0,X1)),negate(add(X0,add(negate(add(X1,X2)),negate(add(X1,negate(X2)))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_119,c_55,c_54]) ).
tcf(c_129,plain,
! [X0: $i] : negate(add(negate(add(X0,add(negate(c),negate(add(c,negate(c)))))),negate(add(X0,c)))) = X0,
inference(superposition,[status(thm)],[c_115,c_56]) ).
tcf(c_130,plain,
negate(add(negate(add(negate(c),add(c,negate(c)))),c)) = negate(c),
inference(superposition,[status(thm)],[c_115,c_56]) ).
tcf(c_131,plain,
negate(add(c,negate(add(c,add(negate(c),negate(c)))))) = negate(c),
inference(theory_normalisation,[status(thm)],[c_130,c_55,c_54]) ).
tcf(c_132,plain,
! [X0: $i] : negate(add(negate(add(X0,c)),negate(add(X0,add(negate(c),negate(add(c,negate(c)))))))) = X0,
inference(theory_normalisation,[status(thm)],[c_129,c_55,c_54]) ).
tcf(c_136,plain,
negate(add(negate(add(c,add(c,add(negate(c),negate(c))))),negate(c))) = c,
inference(superposition,[status(thm)],[c_131,c_56]) ).
tcf(c_137,plain,
negate(add(negate(c),negate(add(c,add(c,add(negate(c),negate(c))))))) = c,
inference(theory_normalisation,[status(thm)],[c_136,c_55,c_54]) ).
tcf(c_175,plain,
negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) = c,
inference(superposition,[status(thm)],[c_57,c_132]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(superposition,[status(thm)],[c_54,c_56]) ).
tcf(c_197,plain,
! [X0: $i] : add(c,add(c,X0)) = add(c,X0),
inference(superposition,[status(thm)],[c_57,c_55]) ).
tcf(c_206,plain,
negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))) = c,
inference(demodulation,[status(thm)],[c_137,c_197]) ).
tcf(c_269,plain,
negate(add(negate(c),negate(add(negate(add(negate(c),add(c,negate(c)))),negate(c))))) = negate(add(negate(c),add(c,negate(c)))),
inference(superposition,[status(thm)],[c_115,c_118]) ).
tcf(c_293,plain,
negate(add(negate(c),negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))))) = negate(add(c,add(negate(c),negate(c)))),
inference(theory_normalisation,[status(thm)],[c_269,c_55,c_54]) ).
tcf(c_294,plain,
negate(add(c,add(negate(c),negate(c)))) = negate(add(negate(c),c)),
inference(light_normalisation,[status(thm)],[c_293,c_206]) ).
tcf(c_295,plain,
negate(add(c,add(negate(c),negate(c)))) = negate(add(c,negate(c))),
inference(theory_normalisation,[status(thm)],[c_294,c_55,c_54]) ).
tcf(c_318,plain,
negate(add(c,negate(add(c,negate(c))))) = negate(c),
inference(demodulation,[status(thm)],[c_131,c_295]) ).
tcf(c_509,plain,
! [X0: $i] : negate(add(negate(add(c,X0)),negate(add(add(c,X0),negate(c))))) = add(c,X0),
inference(superposition,[status(thm)],[c_197,c_188]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i] : negate(add(negate(add(X0,X1)),negate(add(negate(X0),X1)))) = X1,
inference(superposition,[status(thm)],[c_54,c_188]) ).
tcf(c_552,plain,
! [X0: $i] : negate(add(negate(add(c,X0)),negate(add(c,add(X0,negate(c)))))) = add(c,X0),
inference(theory_normalisation,[status(thm)],[c_509,c_55,c_54]) ).
tcf(c_741,plain,
! [X0: $i] : negate(add(negate(add(add(negate(c),negate(add(c,negate(c)))),X0)),negate(add(c,X0)))) = X0,
inference(superposition,[status(thm)],[c_115,c_523]) ).
tcf(c_774,plain,
! [X0: $i] : negate(add(negate(add(c,X0)),negate(add(negate(c),add(negate(add(c,negate(c))),X0))))) = X0,
inference(theory_normalisation,[status(thm)],[c_741,c_55,c_54]) ).
tcf(c_1119,plain,
negate(add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c)))))) = add(c,negate(add(c,negate(c)))),
inference(superposition,[status(thm)],[c_318,c_552]) ).
tcf(c_1155,plain,
negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) = add(c,negate(add(c,negate(c)))),
inference(theory_normalisation,[status(thm)],[c_1119,c_55,c_54]) ).
tcf(c_1156,plain,
add(c,negate(add(c,negate(c)))) = c,
inference(light_normalisation,[status(thm)],[c_1155,c_175]) ).
tcf(c_1372,plain,
! [X0: $i] : add(c,add(negate(add(c,negate(c))),X0)) = add(c,X0),
inference(superposition,[status(thm)],[c_1156,c_55]) ).
tcf(c_1405,plain,
! [X0: $i] : negate(add(negate(add(c,X0)),negate(add(negate(c),add(negate(add(c,negate(c))),X0))))) = add(negate(add(c,negate(c))),X0),
inference(superposition,[status(thm)],[c_1372,c_523]) ).
tcf(c_1442,plain,
! [X0: $i] : add(negate(add(c,negate(c))),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1405,c_774]) ).
tcf(c_1497,plain,
! [X0: $i] : add(X0,negate(add(c,negate(c)))) = X0,
inference(superposition,[status(thm)],[c_1442,c_54]) ).
tcf(c_1725,plain,
! [X0: $i,X1: $i] : negate(add(negate(add(negate(add(c,negate(c))),X0)),negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))))) = negate(add(c,negate(c))),
inference(superposition,[status(thm)],[c_1442,c_123]) ).
tcf(c_1819,plain,
! [X0: $i] : negate(add(negate(X0),X0)) = negate(add(c,negate(c))),
inference(light_normalisation,[status(thm)],[c_1725,c_56,c_1442]) ).
tcf(c_1820,plain,
! [X0: $i] : negate(add(X0,negate(X0))) = negate(add(c,negate(c))),
inference(theory_normalisation,[status(thm)],[c_1819,c_55,c_54]) ).
tcf(c_2025,plain,
! [X0: $i,X1: $i] : negate(add(X0,negate(X0))) = negate(add(X1,negate(X1))),
inference(superposition,[status(thm)],[c_1820,c_1820]) ).
tcf(c_2781,plain,
! [X0: $i,X1: $i] : add(X0,negate(add(X1,negate(X1)))) = X0,
inference(superposition,[status(thm)],[c_2025,c_1497]) ).
tcf(c_2782,plain,
! [X0: $i,X1: $i] : add(negate(add(X0,negate(X0))),X1) = X1,
inference(superposition,[status(thm)],[c_2025,c_1442]) ).
tcf(c_2945,plain,
! [X0: $i] : negate(negate(add(X0,negate(negate(X0))))) = negate(negate(X0)),
inference(superposition,[status(thm)],[c_2781,c_523]) ).
tcf(c_3100,plain,
! [X0: $i] : negate(negate(add(X0,negate(negate(X0))))) = X0,
inference(superposition,[status(thm)],[c_2782,c_56]) ).
tcf(c_3950,plain,
! [X0: $i] : negate(negate(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2945,c_3100]) ).
tcf(c_3970,plain,
! [X0: $i,X1: $i] : add(negate(add(X0,X1)),negate(add(X1,negate(X0)))) = negate(X1),
inference(superposition,[status(thm)],[c_188,c_3950]) ).
tcf(c_3999,plain,
negate(negate(b)) != b,
inference(demodulation,[status(thm)],[c_62,c_3970]) ).
tcf(c_4001,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3999,c_3950]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ROB005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.36 % Computer : n006.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Thu Sep 24 08:24:16 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.39 Running UEQ theorem proving
% 0.09/5.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.41
% 0.11/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/5.41
% 0.11/5.41 % Detected problem language: tptp
% 0.11/5.42 % Proving...
% 0.97/6.73 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.97/6.73 % SZS status Started for theBenchmark.p
% 0.97/6.73 % SZS status Unsatisfiable for theBenchmark.p
% 0.97/6.73
% 0.97/6.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.97/6.73
% 0.97/6.73 % ------ iProver source info
% 0.97/6.73
% 0.97/6.73 % git: date: 2026-07-19 20:42:38 +0200
% 0.97/6.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.97/6.73 % git: non_committed_changes: false
% 0.97/6.73
% 0.97/6.73 % ------ Parsing...% successful
% 0.97/6.73
% 0.97/6.73
% 0.97/6.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.97/6.73
% 0.97/6.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.97/6.73
% 0.97/6.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.97/6.73
% 0.97/6.73 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.97/6.73 % ------ Proving...
% 0.97/6.73 % ------ Problem Properties
% 0.97/6.73
% 0.97/6.73 %
% 0.97/6.73 % clauses 5
% 0.97/6.73 % conjectures 1
% 0.97/6.73 % EPR 0
% 0.97/6.73 % Horn 5
% 0.97/6.73 % unary 5
% 0.97/6.73 % binary 0
% 0.97/6.73 % lits 5
% 0.97/6.73 % lits eq 5
% 0.97/6.73 % fd_pure 0
% 0.97/6.73 % fd_pseudo 0
% 0.97/6.73 % fd_cond 0
% 0.97/6.73 % fd_pseudo_cond 0
% 0.97/6.73 % AC symbols 1
% 0.97/6.73
% 0.97/6.73 % ------ Input Options Time Limit: Unbounded
% 0.97/6.73
% 0.97/6.73
% 0.97/6.73 % ------
% 0.97/6.73 % Current options:
% 0.97/6.73 % ------
% 0.97/6.73
% 0.97/6.73
% 0.97/6.73 %
% 0.97/6.73
% 0.97/6.73 % ------ Proving...
% 0.97/6.73 %
% 0.97/6.73
% 0.97/6.73 % SZS status Unsatisfiable for theBenchmark.p
% 0.97/6.73
% 0.97/6.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.97/6.73
% 0.97/6.73
%------------------------------------------------------------------------------