%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI488_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 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 : Tue Sep 29 09:33:12 AM UTC 2026
% Result : Theorem 3.96s 1.46s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 3 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 49 ( 0 atm; 19 fun; 18 num; 12 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 4 !; 8 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
'$inst0': $real ).
tff(func_def_7,type,
'$inst1': $real ).
tff(f1,conjecture,
? [X1: $real,X0: $real] :
( ( $sum(X0,X1) = 36/5 )
& ( $difference(X0,X1) = 0/1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_3) ).
tff(f2,negated_conjecture,
~ ? [X1: $real,X0: $real] :
( ( $sum(X0,X1) = 36/5 )
& ( $difference(X0,X1) = 0/1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X1: $real,X0: $real] :
( ( $sum(X0,X1) = 36/5 )
& ( 0/1 = $sum(X0,$uminus(X1)) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
~ ? [X1: $real,X0: $real] :
( ( 36/5 = $sum(X1,X0) )
& ( 0/1 = $sum(X1,$uminus(X0)) ) ),
inference(rectify,[],[f3]) ).
tff(f16,plain,
! [X0: $real,X1: $real] :
( ( 0/1 != $sum(X1,$uminus(X0)) )
| ( 36/5 != $sum(X1,X0) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f17,plain,
! [X0: $real,X1: $real] :
( ( 0/1 != $sum(X1,$uminus(X0)) )
| ( 36/5 != $sum(X1,X0) ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
( ( 0/1 != $sum(18/5,$uminus(18/5)) )
| ( 36/5 != $sum(18/5,18/5) ) ),
inference(instantiation,[],[f17]) ).
tff(f19,plain,
$false,
inference(interpreted_simplification,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI488_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:55:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.96/1.46 % (3989005)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.96/1.46 % (3989105)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4158743992:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.96/1.46 % (3989105)Refutation not found, incomplete strategy
% 3.96/1.46 % (3989105)------------------------------
% 3.96/1.46 % (3989105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.46 % (3989105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.46 % (3989105)CaDiCaL version: 2.1.3
% 3.96/1.46 % (3989105)Termination reason: Refutation not found, incomplete strategy
% 3.96/1.46 % (3989105)Time elapsed: 0.017 s
% 3.96/1.46 % (3989105)Peak memory usage: 112 MB
% 3.96/1.46 % (3989105)Instructions burned: 5 (million)
% 3.96/1.46 % (3989107)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2266054031:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.96/1.46 % (3989110)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3196402061:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.96/1.46 % (3989108)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=334962092:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.96/1.46 % (3989106)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1166855674:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.96/1.46 % (3989111)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2957416064:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.96/1.46 % (3989108)Instruction limit reached!
% 3.96/1.46 % (3989108)------------------------------
% 3.96/1.46 % (3989108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.46 % (3989108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.46 % (3989108)CaDiCaL version: 2.1.3
% 3.96/1.46 % (3989108)Termination reason: Instruction limit
% 3.96/1.46 % (3989108)Termination phase: Saturation
% 3.96/1.46 % (3989108)Time elapsed: 0.006 s
% 3.96/1.46 % (3989108)Peak memory usage: 88 MB
% 3.96/1.46 % (3989108)Instructions burned: 7 (million)
% 3.96/1.46 % (3989109)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2466619588:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.96/1.46 % (3989109)Instruction limit reached!
% 3.96/1.46 % (3989109)------------------------------
% 3.96/1.46 % (3989109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.46 % (3989109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.46 % (3989109)CaDiCaL version: 2.1.3
% 3.96/1.46 % (3989109)Termination reason: Instruction limit
% 3.96/1.46 % (3989109)Termination phase: Saturation
% 3.96/1.46 % (3989109)Time elapsed: 0.006 s
% 3.96/1.46 % (3989109)Peak memory usage: 88 MB
% 3.96/1.46 % (3989109)Instructions burned: 4 (million)
% 3.96/1.46 % (3989110)Refutation not found, incomplete strategy
% 3.96/1.46 % (3989110)------------------------------
% 3.96/1.46 % (3989110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.46 % (3989110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.46 % (3989110)CaDiCaL version: 2.1.3
% 3.96/1.46 % (3989110)Termination reason: Refutation not found, incomplete strategy
% 3.96/1.46 % (3989110)Time elapsed: 0.027 s
% 3.96/1.46 % (3989110)Peak memory usage: 111 MB
% 3.96/1.46 % (3989110)Instructions burned: 5 (million)
% 3.96/1.46 % (3989106)Refutation not found, incomplete strategy
% 3.96/1.46 % (3989106)------------------------------
% 3.96/1.46 % (3989106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.46 % (3989106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.46 % (3989106)CaDiCaL version: 2.1.3
% 3.96/1.46 % (3989106)Termination reason: Refutation not found, incomplete strategy
% 3.96/1.46 % (3989106)Time elapsed: 0.027 s
% 3.96/1.46 % (3989106)Peak memory usage: 111 MB
% 3.96/1.46 % (3989106)Instructions burned: 5 (million)
% 3.96/1.46 % (3989107)First to succeed.
% 3.96/1.46 % (3989107)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3989005"
% 3.96/1.46 % (3989111)Instruction limit reached!
% 3.96/1.46 % (3989111)------------------------------
% 3.96/1.46 % (3989111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.46 % (3989111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.46 % (3989111)CaDiCaL version: 2.1.3
% 3.96/1.46 % (3989111)Termination reason: Instruction limit
% 3.96/1.46 % (3989111)Termination phase: Saturation
% 3.96/1.46 % (3989111)Time elapsed: 0.065 s
% 3.96/1.46 % (3989111)Peak memory usage: 112 MB
% 3.96/1.46 % (3989111)Instructions burned: 33 (million)
% 3.96/1.46 % (3989105)------------------------------
% 3.96/1.46 % (3989105)------------------------------
% 3.96/1.46 % (3989119)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1115167280:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.96/1.46 % (3989119)Refutation not found, incomplete strategy
% 3.96/1.46 % (3989119)------------------------------
% 3.96/1.46 % (3989119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.46 % (3989119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.46 % (3989119)CaDiCaL version: 2.1.3
% 3.96/1.46 % (3989119)Termination reason: Refutation not found, incomplete strategy
% 3.96/1.46 % (3989119)Time elapsed: 0.001 s
% 3.96/1.46 % (3989119)Peak memory usage: 89 MB
% 3.96/1.46 % (3989120)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3878866170:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.96/1.46 % (3989120)Instruction limit reached!
% 3.96/1.46 % (3989120)------------------------------
% 3.96/1.46 % (3989120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.46 % (3989120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.46 % (3989120)CaDiCaL version: 2.1.3
% 3.96/1.46 % (3989120)Termination reason: Instruction limit
% 3.96/1.46 % (3989120)Termination phase: Saturation
% 3.96/1.46 % (3989120)Time elapsed: 0.025 s
% 3.96/1.46 % (3989120)Peak memory usage: 88 MB
% 3.96/1.46 % (3989120)Instructions burned: 29 (million)
% 3.96/1.46 % (3989107)Refutation found. Thanks to Tanya!
% 3.96/1.46 % SZS status Theorem for theBenchmark
% 3.96/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.46 % (3989107)------------------------------
% 3.96/1.46 % (3989107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.46 % (3989107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.46 % (3989107)CaDiCaL version: 2.1.3
% 3.96/1.46 % (3989107)Termination reason: Refutation
% 3.96/1.46 % (3989107)Time elapsed: 0.030 s
% 3.96/1.46 % (3989107)Peak memory usage: 116 MB
% 3.96/1.46 % (3989107)Instructions burned: 7 (million)
% 3.96/1.46 % (3989107)------------------------------
% 3.96/1.46 % (3989107)------------------------------
% 3.96/1.46 % (3989005)Success in time 0.466 s
% 3.96/1.46 % Vampire exiting
%------------------------------------------------------------------------------